6.968 * [progress]: [Phase 1 of 3] Setting up. 0.003 * * * [progress]: [1/2] Preparing points 0.094 * * * [progress]: [2/2] Setting up program. 0.099 * [progress]: [Phase 2 of 3] Improving. 0.099 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.100 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.100 * * [simplify]: iteration 0: 15 enodes 0.106 * * [simplify]: iteration 1: 32 enodes 0.120 * * [simplify]: iteration 2: 94 enodes 0.176 * * [simplify]: iteration 3: 358 enodes 0.428 * * [simplify]: iteration 4: 1476 enodes 1.525 * * [simplify]: iteration complete: 5002 enodes 1.525 * * [simplify]: Extracting #0: cost 1 inf + 0 1.526 * * [simplify]: Extracting #1: cost 109 inf + 0 1.528 * * [simplify]: Extracting #2: cost 770 inf + 3 1.533 * * [simplify]: Extracting #3: cost 1369 inf + 8904 1.552 * * [simplify]: Extracting #4: cost 906 inf + 96623 1.629 * * [simplify]: Extracting #5: cost 117 inf + 235172 1.742 * * [simplify]: Extracting #6: cost 0 inf + 261572 1.835 * [simplify]: Simplified to: (/ (+ (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)) 1.843 * * [progress]: iteration 1 / 4 1.843 * * * [progress]: picking best candidate 1.853 * * * * [pick]: Picked # 1.853 * * * [progress]: localizing error 1.905 * * * [progress]: generating rewritten candidates 1.905 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1 1 1) 1.923 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 1.938 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 1.980 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.599 * * * [progress]: generating series expansions 2.600 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1 1 1) 2.606 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 2.606 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 2.607 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.608 * [taylor]: Taking taylor expansion of PI in b 2.608 * [backup-simplify]: Simplify PI into PI 2.608 * [taylor]: Taking taylor expansion of (+ a b) in b 2.608 * [taylor]: Taking taylor expansion of a in b 2.608 * [backup-simplify]: Simplify a into a 2.608 * [taylor]: Taking taylor expansion of b in b 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.609 * [backup-simplify]: Simplify (+ a 0) into a 2.609 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.609 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.609 * [taylor]: Taking taylor expansion of PI in a 2.609 * [backup-simplify]: Simplify PI into PI 2.609 * [taylor]: Taking taylor expansion of (+ a b) in a 2.609 * [taylor]: Taking taylor expansion of a in a 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [taylor]: Taking taylor expansion of b in a 2.609 * [backup-simplify]: Simplify b into b 2.609 * [backup-simplify]: Simplify (+ 0 b) into b 2.609 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.609 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.609 * [taylor]: Taking taylor expansion of PI in a 2.609 * [backup-simplify]: Simplify PI into PI 2.609 * [taylor]: Taking taylor expansion of (+ a b) in a 2.609 * [taylor]: Taking taylor expansion of a in a 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.609 * [taylor]: Taking taylor expansion of b in a 2.609 * [backup-simplify]: Simplify b into b 2.609 * [backup-simplify]: Simplify (+ 0 b) into b 2.609 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.610 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.610 * [taylor]: Taking taylor expansion of PI in b 2.610 * [backup-simplify]: Simplify PI into PI 2.610 * [taylor]: Taking taylor expansion of b in b 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (/ PI 1) into PI 2.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.612 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify (+ 1 0) into 1 2.613 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.613 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 2.613 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.613 * [taylor]: Taking taylor expansion of PI in b 2.613 * [backup-simplify]: Simplify PI into PI 2.613 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.613 * [taylor]: Taking taylor expansion of b in b 2.613 * [backup-simplify]: Simplify 0 into 0 2.613 * [backup-simplify]: Simplify 1 into 1 2.614 * [backup-simplify]: Simplify (* 1 1) into 1 2.615 * [backup-simplify]: Simplify (/ PI 1) into PI 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.618 * [backup-simplify]: Simplify (- 0) into 0 2.618 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (+ 0 0) into 0 2.621 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.621 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.621 * [taylor]: Taking taylor expansion of PI in b 2.621 * [backup-simplify]: Simplify PI into PI 2.621 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.621 * [taylor]: Taking taylor expansion of b in b 2.621 * [backup-simplify]: Simplify 0 into 0 2.621 * [backup-simplify]: Simplify 1 into 1 2.622 * [backup-simplify]: Simplify (* 1 1) into 1 2.622 * [backup-simplify]: Simplify (* 1 1) into 1 2.623 * [backup-simplify]: Simplify (/ PI 1) into PI 2.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.632 * [backup-simplify]: Simplify 0 into 0 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (- 0) into 0 2.634 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 2.636 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 2.636 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.636 * [taylor]: Taking taylor expansion of PI in b 2.636 * [backup-simplify]: Simplify PI into PI 2.636 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.636 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.636 * [taylor]: Taking taylor expansion of a in b 2.636 * [backup-simplify]: Simplify a into a 2.636 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.636 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.636 * [taylor]: Taking taylor expansion of b in b 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 1 into 1 2.637 * [backup-simplify]: Simplify (/ 1 1) into 1 2.637 * [backup-simplify]: Simplify (+ 0 1) into 1 2.638 * [backup-simplify]: Simplify (/ PI 1) into PI 2.638 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.638 * [taylor]: Taking taylor expansion of PI in a 2.638 * [backup-simplify]: Simplify PI into PI 2.638 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.638 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.638 * [taylor]: Taking taylor expansion of a in a 2.638 * [backup-simplify]: Simplify 0 into 0 2.638 * [backup-simplify]: Simplify 1 into 1 2.638 * [backup-simplify]: Simplify (/ 1 1) into 1 2.638 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.638 * [taylor]: Taking taylor expansion of b in a 2.638 * [backup-simplify]: Simplify b into b 2.639 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.639 * [backup-simplify]: Simplify (+ 1 0) into 1 2.640 * [backup-simplify]: Simplify (/ PI 1) into PI 2.640 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.640 * [taylor]: Taking taylor expansion of PI in a 2.640 * [backup-simplify]: Simplify PI into PI 2.640 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.640 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.640 * [taylor]: Taking taylor expansion of a in a 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 1 into 1 2.640 * [backup-simplify]: Simplify (/ 1 1) into 1 2.640 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.640 * [taylor]: Taking taylor expansion of b in a 2.640 * [backup-simplify]: Simplify b into b 2.640 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.641 * [backup-simplify]: Simplify (+ 1 0) into 1 2.641 * [backup-simplify]: Simplify (/ PI 1) into PI 2.641 * [taylor]: Taking taylor expansion of PI in b 2.642 * [backup-simplify]: Simplify PI into PI 2.642 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.643 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.643 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 2.643 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.643 * [taylor]: Taking taylor expansion of PI in b 2.643 * [backup-simplify]: Simplify PI into PI 2.643 * [taylor]: Taking taylor expansion of b in b 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (/ PI 1) into PI 2.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.646 * [backup-simplify]: Simplify (- 0) into 0 2.646 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.648 * [backup-simplify]: Simplify (+ 0 0) into 0 2.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.649 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.649 * [taylor]: Taking taylor expansion of PI in b 2.649 * [backup-simplify]: Simplify PI into PI 2.649 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.649 * [taylor]: Taking taylor expansion of b in b 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [backup-simplify]: Simplify (* 1 1) into 1 2.650 * [backup-simplify]: Simplify (/ PI 1) into PI 2.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.656 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.657 * [backup-simplify]: Simplify (- 0) into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.657 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.657 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.657 * [taylor]: Taking taylor expansion of -1 in b 2.657 * [backup-simplify]: Simplify -1 into -1 2.657 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.657 * [taylor]: Taking taylor expansion of PI in b 2.657 * [backup-simplify]: Simplify PI into PI 2.657 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.657 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.657 * [taylor]: Taking taylor expansion of a in b 2.657 * [backup-simplify]: Simplify a into a 2.658 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.658 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.658 * [taylor]: Taking taylor expansion of b in b 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (/ 1 1) into 1 2.658 * [backup-simplify]: Simplify (+ 0 1) into 1 2.659 * [backup-simplify]: Simplify (/ PI 1) into PI 2.659 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.659 * [taylor]: Taking taylor expansion of -1 in a 2.659 * [backup-simplify]: Simplify -1 into -1 2.659 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.659 * [taylor]: Taking taylor expansion of PI in a 2.659 * [backup-simplify]: Simplify PI into PI 2.659 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.659 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.659 * [taylor]: Taking taylor expansion of a in a 2.659 * [backup-simplify]: Simplify 0 into 0 2.659 * [backup-simplify]: Simplify 1 into 1 2.659 * [backup-simplify]: Simplify (/ 1 1) into 1 2.659 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.659 * [taylor]: Taking taylor expansion of b in a 2.659 * [backup-simplify]: Simplify b into b 2.659 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.659 * [backup-simplify]: Simplify (+ 1 0) into 1 2.660 * [backup-simplify]: Simplify (/ PI 1) into PI 2.660 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.660 * [taylor]: Taking taylor expansion of -1 in a 2.660 * [backup-simplify]: Simplify -1 into -1 2.660 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.660 * [taylor]: Taking taylor expansion of PI in a 2.660 * [backup-simplify]: Simplify PI into PI 2.660 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.660 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.660 * [taylor]: Taking taylor expansion of a in a 2.660 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify 1 into 1 2.660 * [backup-simplify]: Simplify (/ 1 1) into 1 2.660 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.660 * [taylor]: Taking taylor expansion of b in a 2.660 * [backup-simplify]: Simplify b into b 2.660 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.660 * [backup-simplify]: Simplify (+ 1 0) into 1 2.661 * [backup-simplify]: Simplify (/ PI 1) into PI 2.661 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 2.661 * [taylor]: Taking taylor expansion of (* -1 PI) in b 2.661 * [taylor]: Taking taylor expansion of -1 in b 2.661 * [backup-simplify]: Simplify -1 into -1 2.661 * [taylor]: Taking taylor expansion of PI in b 2.661 * [backup-simplify]: Simplify PI into PI 2.662 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.662 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.663 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 2.663 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.663 * [taylor]: Taking taylor expansion of PI in b 2.663 * [backup-simplify]: Simplify PI into PI 2.663 * [taylor]: Taking taylor expansion of b in b 2.663 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify 1 into 1 2.663 * [backup-simplify]: Simplify (/ PI 1) into PI 2.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 2.665 * [backup-simplify]: Simplify 0 into 0 2.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.666 * [backup-simplify]: Simplify (+ 0 0) into 0 2.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.667 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 2.667 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 2.667 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.668 * [taylor]: Taking taylor expansion of PI in b 2.668 * [backup-simplify]: Simplify PI into PI 2.668 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.668 * [taylor]: Taking taylor expansion of b in b 2.668 * [backup-simplify]: Simplify 0 into 0 2.668 * [backup-simplify]: Simplify 1 into 1 2.668 * [backup-simplify]: Simplify (* 1 1) into 1 2.668 * [backup-simplify]: Simplify (/ PI 1) into PI 2.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (- 0) into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 2.673 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 2.673 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 2.673 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.673 * [taylor]: Taking taylor expansion of PI in b 2.673 * [backup-simplify]: Simplify PI into PI 2.673 * [taylor]: Taking taylor expansion of (+ a b) in b 2.673 * [taylor]: Taking taylor expansion of a in b 2.673 * [backup-simplify]: Simplify a into a 2.673 * [taylor]: Taking taylor expansion of b in b 2.673 * [backup-simplify]: Simplify 0 into 0 2.673 * [backup-simplify]: Simplify 1 into 1 2.673 * [backup-simplify]: Simplify (+ a 0) into a 2.674 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.674 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.674 * [taylor]: Taking taylor expansion of PI in a 2.674 * [backup-simplify]: Simplify PI into PI 2.674 * [taylor]: Taking taylor expansion of (+ a b) in a 2.674 * [taylor]: Taking taylor expansion of a in a 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [taylor]: Taking taylor expansion of b in a 2.674 * [backup-simplify]: Simplify b into b 2.674 * [backup-simplify]: Simplify (+ 0 b) into b 2.674 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.674 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.674 * [taylor]: Taking taylor expansion of PI in a 2.674 * [backup-simplify]: Simplify PI into PI 2.674 * [taylor]: Taking taylor expansion of (+ a b) in a 2.674 * [taylor]: Taking taylor expansion of a in a 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [taylor]: Taking taylor expansion of b in a 2.674 * [backup-simplify]: Simplify b into b 2.674 * [backup-simplify]: Simplify (+ 0 b) into b 2.674 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.674 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.674 * [taylor]: Taking taylor expansion of PI in b 2.674 * [backup-simplify]: Simplify PI into PI 2.674 * [taylor]: Taking taylor expansion of b in b 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (/ PI 1) into PI 2.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify (+ 1 0) into 1 2.675 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.675 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 2.675 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.675 * [taylor]: Taking taylor expansion of PI in b 2.675 * [backup-simplify]: Simplify PI into PI 2.675 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.675 * [taylor]: Taking taylor expansion of b in b 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 1 into 1 2.676 * [backup-simplify]: Simplify (* 1 1) into 1 2.676 * [backup-simplify]: Simplify (/ PI 1) into PI 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (- 0) into 0 2.678 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify (+ 0 0) into 0 2.680 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.680 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.680 * [taylor]: Taking taylor expansion of PI in b 2.680 * [backup-simplify]: Simplify PI into PI 2.680 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.680 * [taylor]: Taking taylor expansion of b in b 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (* 1 1) into 1 2.680 * [backup-simplify]: Simplify (* 1 1) into 1 2.680 * [backup-simplify]: Simplify (/ PI 1) into PI 2.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.685 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (- 0) into 0 2.688 * [backup-simplify]: Simplify 0 into 0 2.689 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.689 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.690 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 2.690 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 2.690 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.690 * [taylor]: Taking taylor expansion of PI in b 2.690 * [backup-simplify]: Simplify PI into PI 2.690 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.690 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.690 * [taylor]: Taking taylor expansion of a in b 2.690 * [backup-simplify]: Simplify a into a 2.690 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.690 * [taylor]: Taking taylor expansion of (/ 1 b) 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 2.691 * [backup-simplify]: Simplify (/ 1 1) into 1 2.691 * [backup-simplify]: Simplify (+ 0 1) into 1 2.691 * [backup-simplify]: Simplify (/ PI 1) into PI 2.692 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 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 (+ (/ 1 a) (/ 1 b)) in a 2.692 * [taylor]: Taking taylor expansion of (/ 1 a) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 2.692 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.692 * [taylor]: Taking taylor expansion of b in a 2.692 * [backup-simplify]: Simplify b into b 2.692 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.693 * [backup-simplify]: Simplify (+ 1 0) into 1 2.693 * [backup-simplify]: Simplify (/ PI 1) into PI 2.693 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) 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 (+ (/ 1 a) (/ 1 b)) in a 2.693 * [taylor]: Taking taylor expansion of (/ 1 a) in a 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 (/ 1 1) into 1 2.694 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.694 * [taylor]: Taking taylor expansion of b in a 2.694 * [backup-simplify]: Simplify b into b 2.694 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.694 * [backup-simplify]: Simplify (+ 1 0) into 1 2.695 * [backup-simplify]: Simplify (/ PI 1) into PI 2.695 * [taylor]: Taking taylor expansion of PI in b 2.695 * [backup-simplify]: Simplify PI into PI 2.695 * [backup-simplify]: Simplify 0 into 0 2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.696 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.697 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 2.697 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.697 * [taylor]: Taking taylor expansion of PI in b 2.697 * [backup-simplify]: Simplify PI into PI 2.697 * [taylor]: Taking taylor expansion of b in b 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify 1 into 1 2.697 * [backup-simplify]: Simplify (/ PI 1) into PI 2.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.699 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (- 0) into 0 2.700 * [backup-simplify]: Simplify 0 into 0 2.700 * [backup-simplify]: Simplify 0 into 0 2.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.701 * [backup-simplify]: Simplify (+ 0 0) into 0 2.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.703 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.703 * [taylor]: Taking taylor expansion of PI in b 2.703 * [backup-simplify]: Simplify PI into PI 2.703 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.703 * [taylor]: Taking taylor expansion of b in b 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.703 * [backup-simplify]: Simplify (* 1 1) into 1 2.704 * [backup-simplify]: Simplify (/ PI 1) into PI 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.709 * [backup-simplify]: Simplify 0 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 (- 0) into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.719 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.719 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.719 * [taylor]: Taking taylor expansion of -1 in b 2.719 * [backup-simplify]: Simplify -1 into -1 2.719 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.719 * [taylor]: Taking taylor expansion of PI in b 2.719 * [backup-simplify]: Simplify PI into PI 2.719 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.719 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.719 * [taylor]: Taking taylor expansion of a in b 2.719 * [backup-simplify]: Simplify a into a 2.719 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.719 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.719 * [taylor]: Taking taylor expansion of b in b 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.720 * [backup-simplify]: Simplify (/ 1 1) into 1 2.720 * [backup-simplify]: Simplify (+ 0 1) into 1 2.721 * [backup-simplify]: Simplify (/ PI 1) into PI 2.721 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.721 * [taylor]: Taking taylor expansion of -1 in a 2.721 * [backup-simplify]: Simplify -1 into -1 2.721 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.721 * [taylor]: Taking taylor expansion of PI in a 2.721 * [backup-simplify]: Simplify PI into PI 2.721 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.721 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.721 * [taylor]: Taking taylor expansion of a in a 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify (/ 1 1) into 1 2.722 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.722 * [taylor]: Taking taylor expansion of b in a 2.722 * [backup-simplify]: Simplify b into b 2.722 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.722 * [backup-simplify]: Simplify (+ 1 0) into 1 2.723 * [backup-simplify]: Simplify (/ PI 1) into PI 2.723 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.723 * [taylor]: Taking taylor expansion of -1 in a 2.723 * [backup-simplify]: Simplify -1 into -1 2.723 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.723 * [taylor]: Taking taylor expansion of PI in a 2.723 * [backup-simplify]: Simplify PI into PI 2.723 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.723 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.723 * [taylor]: Taking taylor expansion of a in a 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (/ 1 1) into 1 2.723 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.723 * [taylor]: Taking taylor expansion of b in a 2.723 * [backup-simplify]: Simplify b into b 2.723 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.724 * [backup-simplify]: Simplify (+ 1 0) into 1 2.724 * [backup-simplify]: Simplify (/ PI 1) into PI 2.725 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 2.725 * [taylor]: Taking taylor expansion of (* -1 PI) in b 2.725 * [taylor]: Taking taylor expansion of -1 in b 2.725 * [backup-simplify]: Simplify -1 into -1 2.725 * [taylor]: Taking taylor expansion of PI in b 2.725 * [backup-simplify]: Simplify PI into PI 2.726 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.728 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 2.728 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.728 * [taylor]: Taking taylor expansion of PI in b 2.728 * [backup-simplify]: Simplify PI into PI 2.728 * [taylor]: Taking taylor expansion of b in b 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.728 * [backup-simplify]: Simplify (/ PI 1) into PI 2.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.730 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.733 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.733 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.735 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 2.735 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 2.735 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.735 * [taylor]: Taking taylor expansion of PI in b 2.735 * [backup-simplify]: Simplify PI into PI 2.735 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.735 * [taylor]: Taking taylor expansion of b in b 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (* 1 1) into 1 2.736 * [backup-simplify]: Simplify (/ PI 1) into PI 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (- 0) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 2.745 * [backup-simplify]: Simplify (/ (/ (/ PI (+ a b)) 2) a) into (* 1/2 (/ PI (* a (+ a b)))) 2.745 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 2.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 2.745 * [taylor]: Taking taylor expansion of 1/2 in b 2.745 * [backup-simplify]: Simplify 1/2 into 1/2 2.745 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 2.745 * [taylor]: Taking taylor expansion of PI in b 2.745 * [backup-simplify]: Simplify PI into PI 2.745 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 2.745 * [taylor]: Taking taylor expansion of a in b 2.745 * [backup-simplify]: Simplify a into a 2.745 * [taylor]: Taking taylor expansion of (+ a b) in b 2.745 * [taylor]: Taking taylor expansion of a in b 2.745 * [backup-simplify]: Simplify a into a 2.746 * [taylor]: Taking taylor expansion of b in b 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (+ a 0) into a 2.746 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.746 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 2.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 2.746 * [taylor]: Taking taylor expansion of 1/2 in a 2.746 * [backup-simplify]: Simplify 1/2 into 1/2 2.746 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 2.746 * [taylor]: Taking taylor expansion of PI in a 2.746 * [backup-simplify]: Simplify PI into PI 2.746 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 2.746 * [taylor]: Taking taylor expansion of a in a 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [taylor]: Taking taylor expansion of (+ a b) in a 2.746 * [taylor]: Taking taylor expansion of a in a 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [taylor]: Taking taylor expansion of b in a 2.746 * [backup-simplify]: Simplify b into b 2.746 * [backup-simplify]: Simplify (+ 0 b) into b 2.746 * [backup-simplify]: Simplify (* 0 b) into 0 2.747 * [backup-simplify]: Simplify (+ 1 0) into 1 2.747 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 2.747 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.747 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 2.747 * [taylor]: Taking taylor expansion of 1/2 in a 2.747 * [backup-simplify]: Simplify 1/2 into 1/2 2.747 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 2.747 * [taylor]: Taking taylor expansion of PI in a 2.748 * [backup-simplify]: Simplify PI into PI 2.748 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 2.748 * [taylor]: Taking taylor expansion of a in a 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 1 into 1 2.748 * [taylor]: Taking taylor expansion of (+ a b) in a 2.748 * [taylor]: Taking taylor expansion of a in a 2.748 * [backup-simplify]: Simplify 0 into 0 2.748 * [backup-simplify]: Simplify 1 into 1 2.748 * [taylor]: Taking taylor expansion of b in a 2.748 * [backup-simplify]: Simplify b into b 2.748 * [backup-simplify]: Simplify (+ 0 b) into b 2.748 * [backup-simplify]: Simplify (* 0 b) into 0 2.748 * [backup-simplify]: Simplify (+ 1 0) into 1 2.749 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 2.749 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.749 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.749 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.749 * [taylor]: Taking taylor expansion of 1/2 in b 2.749 * [backup-simplify]: Simplify 1/2 into 1/2 2.749 * [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 2.750 * [backup-simplify]: Simplify (/ PI 1) into PI 2.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 2.753 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.753 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.753 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.753 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.753 * [taylor]: Taking taylor expansion of 1/2 in b 2.753 * [backup-simplify]: Simplify 1/2 into 1/2 2.753 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.753 * [taylor]: Taking taylor expansion of PI in b 2.753 * [backup-simplify]: Simplify PI into PI 2.753 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.753 * [taylor]: Taking taylor expansion of b in b 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (* 1 1) into 1 2.754 * [backup-simplify]: Simplify (/ PI 1) into PI 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.759 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.759 * [backup-simplify]: Simplify (- 0) into 0 2.759 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify (+ 0 0) into 0 2.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 2.763 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.764 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.764 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.764 * [taylor]: Taking taylor expansion of 1/2 in b 2.764 * [backup-simplify]: Simplify 1/2 into 1/2 2.764 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.764 * [taylor]: Taking taylor expansion of PI in b 2.764 * [backup-simplify]: Simplify PI into PI 2.764 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.764 * [taylor]: Taking taylor expansion of b in b 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 1 into 1 2.764 * [backup-simplify]: Simplify (* 1 1) into 1 2.765 * [backup-simplify]: Simplify (* 1 1) into 1 2.765 * [backup-simplify]: Simplify (/ PI 1) into PI 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.775 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.779 * [backup-simplify]: Simplify (- 0) into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 2.782 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.782 * [taylor]: Taking taylor expansion of 1/2 in b 2.782 * [backup-simplify]: Simplify 1/2 into 1/2 2.782 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.782 * [taylor]: Taking taylor expansion of (* a PI) in b 2.782 * [taylor]: Taking taylor expansion of a in b 2.782 * [backup-simplify]: Simplify a into a 2.782 * [taylor]: Taking taylor expansion of PI in b 2.782 * [backup-simplify]: Simplify PI into PI 2.782 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.782 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.782 * [taylor]: Taking taylor expansion of a in b 2.782 * [backup-simplify]: Simplify a into a 2.782 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.782 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.782 * [taylor]: Taking taylor expansion of b in b 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 1 into 1 2.783 * [backup-simplify]: Simplify (/ 1 1) into 1 2.783 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.783 * [backup-simplify]: Simplify (+ 0 1) into 1 2.783 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.783 * [taylor]: Taking taylor expansion of 1/2 in a 2.783 * [backup-simplify]: Simplify 1/2 into 1/2 2.783 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.783 * [taylor]: Taking taylor expansion of (* a PI) in a 2.783 * [taylor]: Taking taylor expansion of a in a 2.783 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [taylor]: Taking taylor expansion of PI in a 2.784 * [backup-simplify]: Simplify PI into PI 2.784 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.784 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.784 * [taylor]: Taking taylor expansion of a in a 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [backup-simplify]: Simplify (/ 1 1) into 1 2.784 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.784 * [taylor]: Taking taylor expansion of b in a 2.784 * [backup-simplify]: Simplify b into b 2.784 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.785 * [backup-simplify]: Simplify (* 0 PI) into 0 2.786 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.787 * [backup-simplify]: Simplify (+ 1 0) into 1 2.787 * [backup-simplify]: Simplify (/ PI 1) into PI 2.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.787 * [taylor]: Taking taylor expansion of 1/2 in a 2.787 * [backup-simplify]: Simplify 1/2 into 1/2 2.787 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.787 * [taylor]: Taking taylor expansion of (* a PI) in a 2.787 * [taylor]: Taking taylor expansion of a in a 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [taylor]: Taking taylor expansion of PI in a 2.787 * [backup-simplify]: Simplify PI into PI 2.787 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.787 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.787 * [taylor]: Taking taylor expansion of a in a 2.787 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (/ 1 1) into 1 2.788 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.788 * [taylor]: Taking taylor expansion of b in a 2.788 * [backup-simplify]: Simplify b into b 2.788 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.788 * [backup-simplify]: Simplify (* 0 PI) into 0 2.790 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.790 * [backup-simplify]: Simplify (+ 1 0) into 1 2.791 * [backup-simplify]: Simplify (/ PI 1) into PI 2.791 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.792 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.792 * [taylor]: Taking taylor expansion of 1/2 in b 2.792 * [backup-simplify]: Simplify 1/2 into 1/2 2.792 * [taylor]: Taking taylor expansion of PI in b 2.792 * [backup-simplify]: Simplify PI into PI 2.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.792 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.794 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.795 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.796 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.796 * [taylor]: Taking taylor expansion of 1/2 in b 2.796 * [backup-simplify]: Simplify 1/2 into 1/2 2.796 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.796 * [taylor]: Taking taylor expansion of PI in b 2.796 * [backup-simplify]: Simplify PI into PI 2.796 * [taylor]: Taking taylor expansion of b in b 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (/ PI 1) into PI 2.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.800 * [backup-simplify]: Simplify (- 0) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (+ (* 1/2 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 PI)))) into 0 2.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.806 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.806 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.806 * [taylor]: Taking taylor expansion of 1/2 in b 2.806 * [backup-simplify]: Simplify 1/2 into 1/2 2.806 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.806 * [taylor]: Taking taylor expansion of PI in b 2.806 * [backup-simplify]: Simplify PI into PI 2.806 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.806 * [taylor]: Taking taylor expansion of b in b 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (/ PI 1) into PI 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.814 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.816 * [backup-simplify]: Simplify (- 0) into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 2.818 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.818 * [taylor]: Taking taylor expansion of 1/2 in b 2.818 * [backup-simplify]: Simplify 1/2 into 1/2 2.818 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.818 * [taylor]: Taking taylor expansion of (* a PI) in b 2.818 * [taylor]: Taking taylor expansion of a in b 2.818 * [backup-simplify]: Simplify a into a 2.818 * [taylor]: Taking taylor expansion of PI in b 2.818 * [backup-simplify]: Simplify PI into PI 2.818 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.818 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.818 * [taylor]: Taking taylor expansion of a in b 2.818 * [backup-simplify]: Simplify a into a 2.818 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.818 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.818 * [taylor]: Taking taylor expansion of b in b 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify (/ 1 1) into 1 2.819 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.819 * [backup-simplify]: Simplify (+ 0 1) into 1 2.819 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.819 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.819 * [taylor]: Taking taylor expansion of 1/2 in a 2.819 * [backup-simplify]: Simplify 1/2 into 1/2 2.819 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.819 * [taylor]: Taking taylor expansion of (* a PI) in a 2.820 * [taylor]: Taking taylor expansion of a in a 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [taylor]: Taking taylor expansion of PI in a 2.820 * [backup-simplify]: Simplify PI into PI 2.820 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.820 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.820 * [taylor]: Taking taylor expansion of a in a 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (/ 1 1) into 1 2.820 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.820 * [taylor]: Taking taylor expansion of b in a 2.820 * [backup-simplify]: Simplify b into b 2.820 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.821 * [backup-simplify]: Simplify (* 0 PI) into 0 2.822 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.823 * [backup-simplify]: Simplify (+ 1 0) into 1 2.823 * [backup-simplify]: Simplify (/ PI 1) into PI 2.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.823 * [taylor]: Taking taylor expansion of 1/2 in a 2.823 * [backup-simplify]: Simplify 1/2 into 1/2 2.823 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.823 * [taylor]: Taking taylor expansion of (* a PI) in a 2.823 * [taylor]: Taking taylor expansion of a in a 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [taylor]: Taking taylor expansion of PI in a 2.823 * [backup-simplify]: Simplify PI into PI 2.824 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.824 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.824 * [taylor]: Taking taylor expansion of a in a 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (/ 1 1) into 1 2.824 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.824 * [taylor]: Taking taylor expansion of b in a 2.824 * [backup-simplify]: Simplify b into b 2.824 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.825 * [backup-simplify]: Simplify (* 0 PI) into 0 2.827 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.827 * [backup-simplify]: Simplify (+ 1 0) into 1 2.827 * [backup-simplify]: Simplify (/ PI 1) into PI 2.828 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.828 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.828 * [taylor]: Taking taylor expansion of 1/2 in b 2.828 * [backup-simplify]: Simplify 1/2 into 1/2 2.828 * [taylor]: Taking taylor expansion of PI in b 2.828 * [backup-simplify]: Simplify PI into PI 2.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.832 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.832 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.832 * [taylor]: Taking taylor expansion of 1/2 in b 2.832 * [backup-simplify]: Simplify 1/2 into 1/2 2.832 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.832 * [taylor]: Taking taylor expansion of PI in b 2.832 * [backup-simplify]: Simplify PI into PI 2.832 * [taylor]: Taking taylor expansion of b in b 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (/ PI 1) into PI 2.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.836 * [backup-simplify]: Simplify (- 0) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.837 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.840 * [backup-simplify]: Simplify (+ 0 0) into 0 2.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.842 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.842 * [taylor]: Taking taylor expansion of 1/2 in b 2.842 * [backup-simplify]: Simplify 1/2 into 1/2 2.842 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.842 * [taylor]: Taking taylor expansion of PI in b 2.842 * [backup-simplify]: Simplify PI into PI 2.842 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.842 * [taylor]: Taking taylor expansion of b in b 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (* 1 1) into 1 2.843 * [backup-simplify]: Simplify (/ PI 1) into PI 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.853 * [backup-simplify]: Simplify (- 0) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.855 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.855 * [backup-simplify]: Simplify (/ (+ (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)) into (/ (- (* 1/2 (/ PI (* a (+ a b)))) (* 1/2 (/ PI (* b (+ a b))))) (- b a)) 2.855 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ PI (* a (+ a b)))) (* 1/2 (/ PI (* b (+ a b))))) (- b a)) in (a b) around 0 2.855 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI (* a (+ a b)))) (* 1/2 (/ PI (* b (+ a b))))) (- b a)) in b 2.855 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (* a (+ a b)))) (* 1/2 (/ PI (* b (+ a b))))) in b 2.855 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 2.855 * [taylor]: Taking taylor expansion of 1/2 in b 2.855 * [backup-simplify]: Simplify 1/2 into 1/2 2.855 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 2.855 * [taylor]: Taking taylor expansion of PI in b 2.855 * [backup-simplify]: Simplify PI into PI 2.855 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 2.855 * [taylor]: Taking taylor expansion of a in b 2.855 * [backup-simplify]: Simplify a into a 2.855 * [taylor]: Taking taylor expansion of (+ a b) in b 2.855 * [taylor]: Taking taylor expansion of a in b 2.855 * [backup-simplify]: Simplify a into a 2.855 * [taylor]: Taking taylor expansion of b in b 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (+ a 0) into a 2.856 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.856 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 2.856 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in b 2.856 * [taylor]: Taking taylor expansion of 1/2 in b 2.856 * [backup-simplify]: Simplify 1/2 into 1/2 2.856 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in b 2.856 * [taylor]: Taking taylor expansion of PI in b 2.856 * [backup-simplify]: Simplify PI into PI 2.856 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 2.856 * [taylor]: Taking taylor expansion of b in b 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [taylor]: Taking taylor expansion of (+ a b) in b 2.856 * [taylor]: Taking taylor expansion of a in b 2.856 * [backup-simplify]: Simplify a into a 2.856 * [taylor]: Taking taylor expansion of b in b 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (+ a 0) into a 2.856 * [backup-simplify]: Simplify (* 0 a) into 0 2.857 * [backup-simplify]: Simplify (+ 0 1) into 1 2.857 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 2.857 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.857 * [taylor]: Taking taylor expansion of (- b a) in b 2.857 * [taylor]: Taking taylor expansion of b in b 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [taylor]: Taking taylor expansion of a in b 2.857 * [backup-simplify]: Simplify a into a 2.858 * [backup-simplify]: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) 2.858 * [backup-simplify]: Simplify (- (* 1/2 (/ PI a))) into (- (* 1/2 (/ PI a))) 2.858 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ PI a)))) into (- (* 1/2 (/ PI a))) 2.858 * [backup-simplify]: Simplify (- a) into (- a) 2.858 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 2.858 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ PI a))) (- a)) into (* 1/2 (/ PI (pow a 2))) 2.858 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI (* a (+ a b)))) (* 1/2 (/ PI (* b (+ a b))))) (- b a)) in a 2.858 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (* a (+ a b)))) (* 1/2 (/ PI (* b (+ a b))))) in a 2.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 2.858 * [taylor]: Taking taylor expansion of 1/2 in a 2.858 * [backup-simplify]: Simplify 1/2 into 1/2 2.858 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 2.858 * [taylor]: Taking taylor expansion of PI in a 2.858 * [backup-simplify]: Simplify PI into PI 2.858 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 2.858 * [taylor]: Taking taylor expansion of a in a 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [taylor]: Taking taylor expansion of (+ a b) in a 2.859 * [taylor]: Taking taylor expansion of a in a 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [taylor]: Taking taylor expansion of b in a 2.859 * [backup-simplify]: Simplify b into b 2.859 * [backup-simplify]: Simplify (+ 0 b) into b 2.859 * [backup-simplify]: Simplify (* 0 b) into 0 2.859 * [backup-simplify]: Simplify (+ 1 0) into 1 2.860 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 2.860 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 2.860 * [taylor]: Taking taylor expansion of 1/2 in a 2.860 * [backup-simplify]: Simplify 1/2 into 1/2 2.860 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 2.860 * [taylor]: Taking taylor expansion of PI in a 2.860 * [backup-simplify]: Simplify PI into PI 2.860 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 2.860 * [taylor]: Taking taylor expansion of b in a 2.860 * [backup-simplify]: Simplify b into b 2.860 * [taylor]: Taking taylor expansion of (+ a b) in a 2.860 * [taylor]: Taking taylor expansion of a in a 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.860 * [taylor]: Taking taylor expansion of b in a 2.860 * [backup-simplify]: Simplify b into b 2.860 * [backup-simplify]: Simplify (+ 0 b) into b 2.860 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.860 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.860 * [taylor]: Taking taylor expansion of (- b a) in a 2.860 * [taylor]: Taking taylor expansion of b in a 2.861 * [backup-simplify]: Simplify b into b 2.861 * [taylor]: Taking taylor expansion of a in a 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.861 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) 0) into (* 1/2 (/ PI b)) 2.861 * [backup-simplify]: Simplify (- 0) into 0 2.861 * [backup-simplify]: Simplify (+ b 0) into b 2.861 * [backup-simplify]: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) 2.861 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ PI (* a (+ a b)))) (* 1/2 (/ PI (* b (+ a b))))) (- b a)) in a 2.861 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (* a (+ a b)))) (* 1/2 (/ PI (* b (+ a b))))) in a 2.861 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 2.861 * [taylor]: Taking taylor expansion of 1/2 in a 2.861 * [backup-simplify]: Simplify 1/2 into 1/2 2.861 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 2.862 * [taylor]: Taking taylor expansion of PI in a 2.862 * [backup-simplify]: Simplify PI into PI 2.862 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 2.862 * [taylor]: Taking taylor expansion of a in a 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [taylor]: Taking taylor expansion of (+ a b) in a 2.862 * [taylor]: Taking taylor expansion of a in a 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [taylor]: Taking taylor expansion of b in a 2.862 * [backup-simplify]: Simplify b into b 2.862 * [backup-simplify]: Simplify (+ 0 b) into b 2.862 * [backup-simplify]: Simplify (* 0 b) into 0 2.862 * [backup-simplify]: Simplify (+ 1 0) into 1 2.863 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 2.863 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (+ a b)))) in a 2.863 * [taylor]: Taking taylor expansion of 1/2 in a 2.863 * [backup-simplify]: Simplify 1/2 into 1/2 2.863 * [taylor]: Taking taylor expansion of (/ PI (* b (+ a b))) in a 2.863 * [taylor]: Taking taylor expansion of PI in a 2.863 * [backup-simplify]: Simplify PI into PI 2.863 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 2.863 * [taylor]: Taking taylor expansion of b in a 2.863 * [backup-simplify]: Simplify b into b 2.863 * [taylor]: Taking taylor expansion of (+ a b) in a 2.863 * [taylor]: Taking taylor expansion of a in a 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [taylor]: Taking taylor expansion of b in a 2.863 * [backup-simplify]: Simplify b into b 2.863 * [backup-simplify]: Simplify (+ 0 b) into b 2.863 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.863 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.864 * [taylor]: Taking taylor expansion of (- b a) in a 2.864 * [taylor]: Taking taylor expansion of b in a 2.864 * [backup-simplify]: Simplify b into b 2.864 * [taylor]: Taking taylor expansion of a in a 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.864 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) 0) into (* 1/2 (/ PI b)) 2.864 * [backup-simplify]: Simplify (- 0) into 0 2.864 * [backup-simplify]: Simplify (+ b 0) into b 2.864 * [backup-simplify]: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) 2.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.865 * [taylor]: Taking taylor expansion of 1/2 in b 2.865 * [backup-simplify]: Simplify 1/2 into 1/2 2.865 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.865 * [taylor]: Taking taylor expansion of PI in b 2.865 * [backup-simplify]: Simplify PI into PI 2.865 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.865 * [taylor]: Taking taylor expansion of b in b 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (/ PI 1) into PI 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.870 * [backup-simplify]: Simplify 0 into 0 2.871 * [backup-simplify]: Simplify (+ 0 0) into 0 2.872 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 2.872 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.872 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.872 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 2.872 * [backup-simplify]: Simplify (- (* 1/2 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 2)))) 2.873 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI (pow b 2)))) (- (* 1/2 (/ PI (pow b 2))))) into (- (/ PI (pow b 2))) 2.873 * [backup-simplify]: Simplify (- 1) into -1 2.874 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.874 * [backup-simplify]: Simplify (- (/ (- (/ PI (pow b 2))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ -1 b)))) into (- (* 1/2 (/ PI (pow b 3)))) 2.874 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 2.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.874 * [taylor]: Taking taylor expansion of 1/2 in b 2.874 * [backup-simplify]: Simplify 1/2 into 1/2 2.874 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.874 * [taylor]: Taking taylor expansion of PI in b 2.874 * [backup-simplify]: Simplify PI into PI 2.874 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.874 * [taylor]: Taking taylor expansion of b in b 2.874 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify 1 into 1 2.875 * [backup-simplify]: Simplify (* 1 1) into 1 2.875 * [backup-simplify]: Simplify (* 1 1) into 1 2.876 * [backup-simplify]: Simplify (/ PI 1) into PI 2.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.882 * [backup-simplify]: Simplify (- 0) into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.885 * [backup-simplify]: Simplify 0 into 0 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 2.887 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.887 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.888 * [backup-simplify]: Simplify (+ 1 0) into 1 2.888 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 2.888 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 2.888 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 2.889 * [backup-simplify]: Simplify (- (- (* 1/2 (/ PI (pow b 3))))) into (* 1/2 (/ PI (pow b 3))) 2.889 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (* 1/2 (/ PI (pow b 3)))) into (/ PI (pow b 3)) 2.889 * [backup-simplify]: Simplify (- 0) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.890 * [backup-simplify]: Simplify (- (/ (/ PI (pow b 3)) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ -1 b)))) into (* 1/2 (/ PI (pow b 4))) 2.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 2.890 * [taylor]: Taking taylor expansion of 1/2 in b 2.890 * [backup-simplify]: Simplify 1/2 into 1/2 2.890 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.890 * [taylor]: Taking taylor expansion of PI in b 2.890 * [backup-simplify]: Simplify PI into PI 2.890 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.890 * [taylor]: Taking taylor expansion of b in b 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.891 * [backup-simplify]: Simplify (* 1 1) into 1 2.891 * [backup-simplify]: Simplify (* 1 1) into 1 2.892 * [backup-simplify]: Simplify (/ PI 1) into PI 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.901 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.906 * [backup-simplify]: Simplify (- 0) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify (/ (+ (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 a)) (- (/ (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) into (/ (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) (- (/ 1 b) (/ 1 a))) 2.910 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 2.911 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) (- (/ 1 b) (/ 1 a))) in b 2.911 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) in b 2.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.911 * [taylor]: Taking taylor expansion of 1/2 in b 2.911 * [backup-simplify]: Simplify 1/2 into 1/2 2.911 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.911 * [taylor]: Taking taylor expansion of (* a PI) in b 2.911 * [taylor]: Taking taylor expansion of a in b 2.911 * [backup-simplify]: Simplify a into a 2.911 * [taylor]: Taking taylor expansion of PI in b 2.911 * [backup-simplify]: Simplify PI into PI 2.911 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.911 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.911 * [taylor]: Taking taylor expansion of a in b 2.911 * [backup-simplify]: Simplify a into a 2.911 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.911 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.911 * [taylor]: Taking taylor expansion of b in b 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.912 * [backup-simplify]: Simplify (+ 0 1) into 1 2.912 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 2.912 * [taylor]: Taking taylor expansion of 1/2 in b 2.912 * [backup-simplify]: Simplify 1/2 into 1/2 2.912 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 2.912 * [taylor]: Taking taylor expansion of (* b PI) in b 2.912 * [taylor]: Taking taylor expansion of b in b 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [taylor]: Taking taylor expansion of PI in b 2.912 * [backup-simplify]: Simplify PI into PI 2.912 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.912 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.913 * [taylor]: Taking taylor expansion of a in b 2.913 * [backup-simplify]: Simplify a into a 2.913 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.913 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.913 * [taylor]: Taking taylor expansion of b in b 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.914 * [backup-simplify]: Simplify (* 0 PI) into 0 2.915 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.916 * [backup-simplify]: Simplify (+ 0 1) into 1 2.916 * [backup-simplify]: Simplify (/ PI 1) into PI 2.916 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 2.916 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.916 * [taylor]: Taking taylor expansion of b in b 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 1 into 1 2.917 * [backup-simplify]: Simplify (/ 1 1) into 1 2.917 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.917 * [taylor]: Taking taylor expansion of a in b 2.917 * [backup-simplify]: Simplify a into a 2.917 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.917 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 2.917 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 2.917 * [backup-simplify]: Simplify (+ 1 0) into 1 2.918 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 2.918 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) (- (/ 1 b) (/ 1 a))) in a 2.918 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) in a 2.918 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.918 * [taylor]: Taking taylor expansion of 1/2 in a 2.918 * [backup-simplify]: Simplify 1/2 into 1/2 2.918 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.918 * [taylor]: Taking taylor expansion of (* a PI) in a 2.918 * [taylor]: Taking taylor expansion of a in a 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [taylor]: Taking taylor expansion of PI in a 2.918 * [backup-simplify]: Simplify PI into PI 2.918 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.918 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.918 * [taylor]: Taking taylor expansion of a in a 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (/ 1 1) into 1 2.918 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.918 * [taylor]: Taking taylor expansion of b in a 2.918 * [backup-simplify]: Simplify b into b 2.919 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.919 * [backup-simplify]: Simplify (* 0 PI) into 0 2.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.921 * [backup-simplify]: Simplify (+ 1 0) into 1 2.921 * [backup-simplify]: Simplify (/ PI 1) into PI 2.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.922 * [taylor]: Taking taylor expansion of 1/2 in a 2.922 * [backup-simplify]: Simplify 1/2 into 1/2 2.922 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.922 * [taylor]: Taking taylor expansion of (* b PI) in a 2.922 * [taylor]: Taking taylor expansion of b in a 2.922 * [backup-simplify]: Simplify b into b 2.922 * [taylor]: Taking taylor expansion of PI in a 2.922 * [backup-simplify]: Simplify PI into PI 2.922 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.922 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.922 * [taylor]: Taking taylor expansion of a in a 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.922 * [backup-simplify]: Simplify (/ 1 1) into 1 2.922 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.922 * [taylor]: Taking taylor expansion of b in a 2.922 * [backup-simplify]: Simplify b into b 2.922 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.922 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.923 * [backup-simplify]: Simplify (+ 1 0) into 1 2.923 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.923 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.923 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.923 * [taylor]: Taking taylor expansion of b in a 2.923 * [backup-simplify]: Simplify b into b 2.923 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.923 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.923 * [taylor]: Taking taylor expansion of a in a 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (/ 1 1) into 1 2.924 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.924 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 2.924 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 2.924 * [backup-simplify]: Simplify (- 1) into -1 2.925 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.925 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 2.925 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) (- (/ 1 b) (/ 1 a))) in a 2.925 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) in a 2.925 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.925 * [taylor]: Taking taylor expansion of 1/2 in a 2.925 * [backup-simplify]: Simplify 1/2 into 1/2 2.925 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.925 * [taylor]: Taking taylor expansion of (* a PI) in a 2.925 * [taylor]: Taking taylor expansion of a in a 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [taylor]: Taking taylor expansion of PI in a 2.925 * [backup-simplify]: Simplify PI into PI 2.925 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.925 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.925 * [taylor]: Taking taylor expansion of a in a 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.926 * [backup-simplify]: Simplify (/ 1 1) into 1 2.926 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.926 * [taylor]: Taking taylor expansion of b in a 2.926 * [backup-simplify]: Simplify b into b 2.926 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.926 * [backup-simplify]: Simplify (* 0 PI) into 0 2.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.928 * [backup-simplify]: Simplify (+ 1 0) into 1 2.929 * [backup-simplify]: Simplify (/ PI 1) into PI 2.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.929 * [taylor]: Taking taylor expansion of 1/2 in a 2.929 * [backup-simplify]: Simplify 1/2 into 1/2 2.929 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.929 * [taylor]: Taking taylor expansion of (* b PI) in a 2.929 * [taylor]: Taking taylor expansion of b in a 2.929 * [backup-simplify]: Simplify b into b 2.929 * [taylor]: Taking taylor expansion of PI in a 2.929 * [backup-simplify]: Simplify PI into PI 2.929 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.929 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.929 * [taylor]: Taking taylor expansion of a in a 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 1 into 1 2.930 * [backup-simplify]: Simplify (/ 1 1) into 1 2.930 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.930 * [taylor]: Taking taylor expansion of b in a 2.930 * [backup-simplify]: Simplify b into b 2.930 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.930 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.930 * [backup-simplify]: Simplify (+ 1 0) into 1 2.930 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.930 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 2.930 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.930 * [taylor]: Taking taylor expansion of b in a 2.930 * [backup-simplify]: Simplify b into b 2.930 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.931 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.931 * [taylor]: Taking taylor expansion of a in a 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 1 into 1 2.931 * [backup-simplify]: Simplify (/ 1 1) into 1 2.931 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.931 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 2.931 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 2.932 * [backup-simplify]: Simplify (- 1) into -1 2.932 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.932 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* b PI)) 2.932 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.932 * [taylor]: Taking taylor expansion of 1/2 in b 2.932 * [backup-simplify]: Simplify 1/2 into 1/2 2.932 * [taylor]: Taking taylor expansion of (* b PI) in b 2.932 * [taylor]: Taking taylor expansion of b in b 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.933 * [taylor]: Taking taylor expansion of PI in b 2.933 * [backup-simplify]: Simplify PI into PI 2.934 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.936 * [backup-simplify]: Simplify (* 0 PI) into 0 2.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.938 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 2.940 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 2.942 * [backup-simplify]: Simplify (- (- (* 1/2 PI))) into (* 1/2 PI) 2.944 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 1/2 PI)) into PI 2.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify (- 0) into 0 2.945 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 2.946 * [backup-simplify]: Simplify (- (/ PI -1) (+ (* (* 1/2 (* b PI)) (/ (/ 1 b) -1)))) into (- (* 1/2 PI)) 2.946 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 2.946 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.946 * [taylor]: Taking taylor expansion of 1/2 in b 2.946 * [backup-simplify]: Simplify 1/2 into 1/2 2.946 * [taylor]: Taking taylor expansion of PI in b 2.946 * [backup-simplify]: Simplify PI into PI 2.947 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.947 * [backup-simplify]: Simplify (- 0) into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.950 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.953 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.954 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 2.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.955 * [backup-simplify]: Simplify (+ 0 0) into 0 2.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 2.957 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 2.957 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 2.957 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI b))) (- (* 1/2 (/ PI b)))) into (- (/ PI b)) 2.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (- 0) into 0 2.959 * [backup-simplify]: Simplify (+ 0 0) into 0 2.961 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) -1) (+ (* (* 1/2 (* b PI)) (/ 0 -1)) (* (- (* 1/2 PI)) (/ (/ 1 b) -1)))) into (* 1/2 (/ PI b)) 2.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.961 * [taylor]: Taking taylor expansion of 1/2 in b 2.961 * [backup-simplify]: Simplify 1/2 into 1/2 2.961 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.961 * [taylor]: Taking taylor expansion of PI in b 2.961 * [backup-simplify]: Simplify PI into PI 2.961 * [taylor]: Taking taylor expansion of b in b 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ PI 1) into PI 2.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.966 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.968 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify 0 into 0 2.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (/ (+ (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- a))) (- (/ (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2) (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) into (/ (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) (- (/ 1 a) (/ 1 b))) 2.972 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) (- (/ 1 a) (/ 1 b))) in (a b) around 0 2.972 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) (- (/ 1 a) (/ 1 b))) in b 2.972 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) in b 2.972 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.972 * [taylor]: Taking taylor expansion of 1/2 in b 2.972 * [backup-simplify]: Simplify 1/2 into 1/2 2.972 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.972 * [taylor]: Taking taylor expansion of (* a PI) in b 2.972 * [taylor]: Taking taylor expansion of a in b 2.972 * [backup-simplify]: Simplify a into a 2.972 * [taylor]: Taking taylor expansion of PI in b 2.972 * [backup-simplify]: Simplify PI into PI 2.972 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.972 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.972 * [taylor]: Taking taylor expansion of a in b 2.972 * [backup-simplify]: Simplify a into a 2.972 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.972 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.972 * [taylor]: Taking taylor expansion of b in b 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.973 * [backup-simplify]: Simplify (+ 0 1) into 1 2.973 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in b 2.973 * [taylor]: Taking taylor expansion of 1/2 in b 2.973 * [backup-simplify]: Simplify 1/2 into 1/2 2.973 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in b 2.973 * [taylor]: Taking taylor expansion of (* b PI) in b 2.973 * [taylor]: Taking taylor expansion of b in b 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [taylor]: Taking taylor expansion of PI in b 2.974 * [backup-simplify]: Simplify PI into PI 2.974 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.974 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.974 * [taylor]: Taking taylor expansion of a in b 2.974 * [backup-simplify]: Simplify a into a 2.974 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.974 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.974 * [taylor]: Taking taylor expansion of b in b 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [backup-simplify]: Simplify (* 0 PI) into 0 2.976 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.977 * [backup-simplify]: Simplify (+ 0 1) into 1 2.977 * [backup-simplify]: Simplify (/ PI 1) into PI 2.977 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 2.978 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.978 * [taylor]: Taking taylor expansion of a in b 2.978 * [backup-simplify]: Simplify a into a 2.978 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.978 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.978 * [taylor]: Taking taylor expansion of b in b 2.978 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 2.978 * [backup-simplify]: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) 2.979 * [backup-simplify]: Simplify (- 1) into -1 2.979 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.979 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) -1) into (* -1/2 (* a PI)) 2.979 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) (- (/ 1 a) (/ 1 b))) in a 2.979 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) in a 2.979 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.979 * [taylor]: Taking taylor expansion of 1/2 in a 2.979 * [backup-simplify]: Simplify 1/2 into 1/2 2.979 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.979 * [taylor]: Taking taylor expansion of (* a PI) in a 2.979 * [taylor]: Taking taylor expansion of a in a 2.979 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [taylor]: Taking taylor expansion of PI in a 2.980 * [backup-simplify]: Simplify PI into PI 2.980 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.980 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.980 * [taylor]: Taking taylor expansion of a in a 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.980 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.980 * [taylor]: Taking taylor expansion of b in a 2.980 * [backup-simplify]: Simplify b into b 2.980 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.981 * [backup-simplify]: Simplify (* 0 PI) into 0 2.982 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.983 * [backup-simplify]: Simplify (+ 1 0) into 1 2.983 * [backup-simplify]: Simplify (/ PI 1) into PI 2.983 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.983 * [taylor]: Taking taylor expansion of 1/2 in a 2.983 * [backup-simplify]: Simplify 1/2 into 1/2 2.983 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.983 * [taylor]: Taking taylor expansion of (* b PI) in a 2.983 * [taylor]: Taking taylor expansion of b in a 2.983 * [backup-simplify]: Simplify b into b 2.983 * [taylor]: Taking taylor expansion of PI in a 2.983 * [backup-simplify]: Simplify PI into PI 2.983 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.983 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.983 * [taylor]: Taking taylor expansion of a in a 2.983 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (/ 1 1) into 1 2.984 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.984 * [taylor]: Taking taylor expansion of b in a 2.984 * [backup-simplify]: Simplify b into b 2.984 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.984 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.985 * [backup-simplify]: Simplify (+ 1 0) into 1 2.985 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.985 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.985 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.985 * [taylor]: Taking taylor expansion of a in a 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.985 * [taylor]: Taking taylor expansion of b in a 2.985 * [backup-simplify]: Simplify b into b 2.985 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.985 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.985 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 2.986 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 2.986 * [backup-simplify]: Simplify (+ 1 0) into 1 2.986 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* b PI)) 2.986 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) (- (/ 1 a) (/ 1 b))) in a 2.986 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b))))) in a 2.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.986 * [taylor]: Taking taylor expansion of 1/2 in a 2.986 * [backup-simplify]: Simplify 1/2 into 1/2 2.986 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.986 * [taylor]: Taking taylor expansion of (* a PI) in a 2.986 * [taylor]: Taking taylor expansion of a in a 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of PI in a 2.987 * [backup-simplify]: Simplify PI into PI 2.987 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.987 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.987 * [taylor]: Taking taylor expansion of a in a 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (/ 1 1) into 1 2.987 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.987 * [taylor]: Taking taylor expansion of b in a 2.987 * [backup-simplify]: Simplify b into b 2.987 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.988 * [backup-simplify]: Simplify (* 0 PI) into 0 2.989 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.990 * [backup-simplify]: Simplify (+ 1 0) into 1 2.990 * [backup-simplify]: Simplify (/ PI 1) into PI 2.990 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (+ (/ 1 a) (/ 1 b)))) in a 2.990 * [taylor]: Taking taylor expansion of 1/2 in a 2.990 * [backup-simplify]: Simplify 1/2 into 1/2 2.990 * [taylor]: Taking taylor expansion of (/ (* b PI) (+ (/ 1 a) (/ 1 b))) in a 2.990 * [taylor]: Taking taylor expansion of (* b PI) in a 2.990 * [taylor]: Taking taylor expansion of b in a 2.990 * [backup-simplify]: Simplify b into b 2.990 * [taylor]: Taking taylor expansion of PI in a 2.990 * [backup-simplify]: Simplify PI into PI 2.990 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.990 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.990 * [taylor]: Taking taylor expansion of a in a 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify 1 into 1 2.991 * [backup-simplify]: Simplify (/ 1 1) into 1 2.991 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.991 * [taylor]: Taking taylor expansion of b in a 2.991 * [backup-simplify]: Simplify b into b 2.991 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.991 * [backup-simplify]: Simplify (* b PI) into (* PI b) 2.991 * [backup-simplify]: Simplify (+ 1 0) into 1 2.992 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 2.992 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 2.992 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.992 * [taylor]: Taking taylor expansion of a in a 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (/ 1 1) into 1 2.992 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.992 * [taylor]: Taking taylor expansion of b in a 2.992 * [backup-simplify]: Simplify b into b 2.992 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.992 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 2.992 * [backup-simplify]: Simplify (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) 2.992 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) 2.993 * [backup-simplify]: Simplify (+ 1 0) into 1 2.993 * [backup-simplify]: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* b PI)) 2.993 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 2.993 * [taylor]: Taking taylor expansion of -1/2 in b 2.993 * [backup-simplify]: Simplify -1/2 into -1/2 2.993 * [taylor]: Taking taylor expansion of (* b PI) in b 2.993 * [taylor]: Taking taylor expansion of b in b 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [taylor]: Taking taylor expansion of PI in b 2.993 * [backup-simplify]: Simplify PI into PI 2.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.996 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.996 * [backup-simplify]: Simplify (* 0 PI) into 0 2.997 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.999 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 2.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 3.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 3.001 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 3.003 * [backup-simplify]: Simplify (- (- (* 1/2 PI))) into (* 1/2 PI) 3.004 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 1/2 PI)) into PI 3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 3.005 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 3.006 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1/2 (* b PI)) (/ (- (/ 1 b)) 1)))) into (* 1/2 PI) 3.006 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 3.006 * [taylor]: Taking taylor expansion of 1/2 in b 3.006 * [backup-simplify]: Simplify 1/2 into 1/2 3.006 * [taylor]: Taking taylor expansion of PI in b 3.006 * [backup-simplify]: Simplify PI into PI 3.007 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.007 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.009 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.009 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 3.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 3.015 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 3.016 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 3.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 3.019 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 3.020 * [backup-simplify]: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) 3.020 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI b))) (- (* 1/2 (/ PI b)))) into (- (/ PI b)) 3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 3.021 * [backup-simplify]: Simplify (- 0) into 0 3.021 * [backup-simplify]: Simplify (+ 0 0) into 0 3.022 * [backup-simplify]: Simplify (- (/ (- (/ PI b)) 1) (+ (* (* -1/2 (* b PI)) (/ 0 1)) (* (* 1/2 PI) (/ (- (/ 1 b)) 1)))) into (- (* 1/2 (/ PI b))) 3.022 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 3.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 3.022 * [taylor]: Taking taylor expansion of 1/2 in b 3.022 * [backup-simplify]: Simplify 1/2 into 1/2 3.022 * [taylor]: Taking taylor expansion of (/ PI b) in b 3.022 * [taylor]: Taking taylor expansion of PI in b 3.022 * [backup-simplify]: Simplify PI into PI 3.022 * [taylor]: Taking taylor expansion of b in b 3.022 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify 1 into 1 3.023 * [backup-simplify]: Simplify (/ PI 1) into PI 3.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.025 * [backup-simplify]: Simplify (- 0) into 0 3.025 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.028 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * [backup-simplify]: Simplify 0 into 0 3.028 * * * [progress]: simplifying candidates 3.028 * * * * [progress]: [ 1 / 851 ] simplifiying candidate # 3.028 * * * * [progress]: [ 2 / 851 ] simplifiying candidate # 3.029 * * * * [progress]: [ 3 / 851 ] simplifiying candidate # 3.029 * * * * [progress]: [ 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* * [progress]: [ 20 / 851 ] simplifiying candidate # 3.029 * * * * [progress]: [ 21 / 851 ] simplifiying candidate # 3.029 * * * * [progress]: [ 22 / 851 ] simplifiying candidate # 3.029 * * * * [progress]: [ 23 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 24 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 25 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 26 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 27 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 28 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 29 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 30 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 31 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 32 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 33 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 34 / 851 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) b))) (- b a)))> 3.030 * * * * [progress]: [ 35 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 36 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 37 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 38 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 39 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 40 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 41 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 42 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 43 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 44 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 45 / 851 ] simplifiying candidate # 3.030 * * * * [progress]: [ 46 / 851 ] simplifiying candidate # 3.031 * * * * [progress]: [ 47 / 851 ] simplifiying candidate # 3.031 * * * * [progress]: [ 48 / 851 ] simplifiying candidate # 3.031 * * * * [progress]: [ 49 / 851 ] simplifiying candidate # 3.031 * * * * [progress]: [ 50 / 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* * [progress]: [ 66 / 851 ] simplifiying candidate # 3.031 * * * * [progress]: [ 67 / 851 ] simplifiying candidate # 3.031 * * * * [progress]: [ 68 / 851 ] simplifiying candidate #real (real->posit16 (/ PI (+ a b)))) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a)))> 3.031 * * * * [progress]: [ 69 / 851 ] simplifiying candidate # 3.031 * * * * [progress]: [ 70 / 851 ] simplifiying candidate # 3.032 * * * * [progress]: [ 71 / 851 ] simplifiying candidate # 3.032 * * * * [progress]: [ 72 / 851 ] simplifiying candidate # 3.032 * * * * [progress]: [ 73 / 851 ] simplifiying candidate # 3.032 * * * * [progress]: [ 74 / 851 ] simplifiying candidate # 3.032 * * * * [progress]: [ 75 / 851 ] simplifiying candidate # 3.032 * * * * [progress]: [ 76 / 851 ] simplifiying candidate # 3.032 * * * * [progress]: [ 77 / 851 ] simplifiying candidate # 3.032 * * * * [progress]: [ 78 / 851 ] simplifiying candidate # 3.032 * * * * [progress]: [ 79 / 851 ] simplifiying candidate # 3.032 * * * * [progress]: [ 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candidate # 3.034 * * * * [progress]: [ 127 / 851 ] simplifiying candidate # 3.034 * * * * [progress]: [ 128 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 129 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 130 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 131 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 132 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 133 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 134 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 135 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 136 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 137 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 138 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 139 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 140 / 851 ] simplifiying candidate # 3.035 * * * * [progress]: [ 141 / 851 ] simplifiying candidate # 3.035 * * * * 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candidate # 3.073 * * * * [progress]: [ 845 / 851 ] simplifiying candidate # 3.073 * * * * [progress]: [ 846 / 851 ] simplifiying candidate # 3.073 * * * * [progress]: [ 847 / 851 ] simplifiying candidate # 3.073 * * * * [progress]: [ 848 / 851 ] simplifiying candidate # 3.073 * * * * [progress]: [ 849 / 851 ] simplifiying candidate # 3.073 * * * * [progress]: [ 850 / 851 ] simplifiying candidate # 3.073 * * * * [progress]: [ 851 / 851 ] simplifiying candidate # 3.097 * [simplify]: Simplifying: (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a b)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ a b)) (/ (sqrt PI) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) (/ 1 1) (/ PI (+ a b)) (/ 1 1) (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) (/ PI 1) (/ PI 1) (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (pow a 3) (pow b 3))) (/ PI (- (* a a) (* b b))) (real->posit16 (/ PI (+ a b))) (- (log PI) (log (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (+ a 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a) (+ (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b)))) (/ (- b a) (+ (/ 1 a) (- (/ 1 b)))) (/ (+ (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- (pow b 3) (pow a 3))) (/ (+ (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- (* b b) (* a a))) (* (- b a) (* a b)) (* (- b a) (+ (* (/ (/ (/ PI (+ a b)) 2) a) (/ (/ (/ PI (+ a b)) 2) a)) (- (* (- (/ (/ (/ PI (+ a b)) 2) b)) (- (/ (/ (/ PI (+ a b)) 2) b))) (* (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b)))))) (* (- b a) (- (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b)))) (real->posit16 (/ (+ (/ (/ (/ PI (+ a b)) 2) a) (- (/ (/ (/ PI (+ a b)) 2) b))) (- b a))) 0 0 0 0 0 0 0 0 0 0 0 0 3.142 * * [simplify]: iteration 0: 1147 enodes 3.504 * * [simplify]: iteration 1: 2276 enodes 4.217 * * [simplify]: iteration complete: 5000 enodes 4.219 * * [simplify]: Extracting #0: cost 752 inf + 0 4.227 * * [simplify]: Extracting #1: cost 2057 inf + 85 4.242 * * [simplify]: Extracting #2: cost 2411 inf + 5386 4.275 * * [simplify]: Extracting #3: cost 2114 inf + 100846 4.391 * * [simplify]: Extracting #4: cost 923 inf + 452628 4.551 * * [simplify]: Extracting #5: cost 121 inf + 763465 4.714 * * [simplify]: Extracting #6: cost 1 inf + 809651 4.891 * * [simplify]: Extracting #7: cost 0 inf + 809378 5.063 * [simplify]: Simplified to: (log (/ PI (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (- PI) (- (+ a b)) (* (/ (cbrt PI) (cbrt (+ b a))) (/ (cbrt PI) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (cbrt PI) (/ (sqrt (+ b a)) (cbrt PI))) (/ (cbrt PI) (sqrt (+ b a))) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ b a)) (/ (/ (sqrt PI) (cbrt (+ b a))) (cbrt (+ b a))) (/ (sqrt PI) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ 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(+ b a)) b) (sqrt 2)))) (/ (- b a) (- (/ (/ 1 (* 2 (+ b a))) a) (/ (/ 1 (* 2 (+ b a))) b))) (/ (- b a) (- (/ (/ (+ (* a a) (* b (- b a))) (cbrt 2)) a) (/ (+ (* a a) (* b (- b a))) (* b (cbrt 2))))) (/ (- b a) (- (/ (/ (+ (* a a) (* b (- b a))) a) (sqrt 2)) (/ (+ (* a a) (* b (- b a))) (* b (sqrt 2))))) (/ (- b a) (- (/ (+ (* a a) (* b (- b a))) (/ a 1/2)) (/ (+ (* a a) (* b (- b a))) (* b 2)))) (/ (- b a) (- (/ (- a b) (* a (cbrt 2))) (/ (/ (- a b) (cbrt 2)) b))) (/ (- b a) (- (/ (- a b) (* a (sqrt 2))) (/ (/ (- a b) (sqrt 2)) b))) (/ (- b a) (- (/ (- a b) (/ a 1/2)) (/ (- a b) (* b 2)))) (/ (- b a) (- (/ (/ PI (+ b a)) (/ a 1/2)) (/ (/ (/ PI (+ b a)) 2) b))) (/ (- b a) (- (/ 1/2 a) (/ 1/2 b))) (/ (- b a) (- (/ (/ PI (+ b a)) (/ a 1/2)) (/ (/ (/ PI (+ b a)) 2) b))) (/ (- b a) (- (/ (/ PI (+ b a)) (/ a 1/2)) (/ (/ (/ PI (+ b a)) 2) b))) (/ (- b a) (- (/ 1 a) (/ 1 b))) (/ (- (/ (/ PI (+ b a)) (/ a 1/2)) (/ (/ (/ PI (+ b a)) 2) b)) (- (* b (* b b)) (* (* a a) a))) (/ (- (/ (/ PI (+ b a)) (/ a 1/2)) (/ (/ (/ PI (+ b a)) 2) b)) (* (+ b a) (- b a))) (* b (* a (- b a))) (* (- b a) (+ (* (- (/ (/ (/ PI (+ b a)) 2) b)) (- (- (/ (/ (/ PI (+ b a)) 2) b)) (/ (/ PI (+ b a)) (/ a 1/2)))) (* (/ (/ PI (+ b a)) (/ a 1/2)) (/ (/ PI (+ b a)) (/ a 1/2))))) (* (+ (/ (/ PI (+ b a)) (/ a 1/2)) (/ (/ (/ PI (+ b a)) 2) b)) (- b a)) (real->posit16 (/ (- (/ (/ PI (+ b a)) (/ a 1/2)) (/ (/ (/ PI (+ b a)) 2) b)) (- b a))) 0 0 0 0 0 0 0 0 0 0 0 0 5.273 * * * [progress]: adding candidates to table 8.815 * * [progress]: iteration 2 / 4 8.815 * * * [progress]: picking best candidate 8.836 * * * * [pick]: Picked # 8.836 * * * [progress]: localizing error 8.867 * * * [progress]: generating rewritten candidates 8.867 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 8.880 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 8.916 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 8.973 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 9.002 * * * [progress]: generating series expansions 9.002 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 9.002 * [backup-simplify]: Simplify (/ PI (+ b a)) into (/ PI (+ a b)) 9.002 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (b a) around 0 9.002 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 9.002 * [taylor]: Taking taylor expansion of PI in a 9.002 * [backup-simplify]: Simplify PI into PI 9.002 * [taylor]: Taking taylor expansion of (+ a b) in a 9.002 * [taylor]: Taking taylor expansion of a in a 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [taylor]: Taking taylor expansion of b in a 9.002 * [backup-simplify]: Simplify b into b 9.002 * [backup-simplify]: Simplify (+ 0 b) into b 9.002 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 9.002 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 9.002 * [taylor]: Taking taylor expansion of PI in b 9.002 * [backup-simplify]: Simplify PI into PI 9.002 * [taylor]: Taking taylor expansion of (+ a b) in b 9.002 * [taylor]: Taking taylor expansion of a in b 9.002 * [backup-simplify]: Simplify a into a 9.002 * [taylor]: Taking taylor expansion of b in b 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [backup-simplify]: Simplify (+ a 0) into a 9.002 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.002 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 9.002 * [taylor]: Taking taylor expansion of PI in b 9.002 * [backup-simplify]: Simplify PI into PI 9.002 * [taylor]: Taking taylor expansion of (+ a b) in b 9.002 * [taylor]: Taking taylor expansion of a in b 9.002 * [backup-simplify]: Simplify a into a 9.002 * [taylor]: Taking taylor expansion of b in b 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 1 into 1 9.002 * [backup-simplify]: Simplify (+ a 0) into a 9.002 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 9.002 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.002 * [taylor]: Taking taylor expansion of PI in a 9.002 * [backup-simplify]: Simplify PI into PI 9.002 * [taylor]: Taking taylor expansion of a in a 9.002 * [backup-simplify]: Simplify 0 into 0 9.002 * [backup-simplify]: Simplify 1 into 1 9.003 * [backup-simplify]: Simplify (/ PI 1) into PI 9.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify (+ 0 1) into 1 9.004 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 9.004 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 2))) in a 9.004 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 9.004 * [taylor]: Taking taylor expansion of PI in a 9.004 * [backup-simplify]: Simplify PI into PI 9.004 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.004 * [taylor]: Taking taylor expansion of a in a 9.004 * [backup-simplify]: Simplify 0 into 0 9.004 * [backup-simplify]: Simplify 1 into 1 9.005 * [backup-simplify]: Simplify (* 1 1) into 1 9.005 * [backup-simplify]: Simplify (/ PI 1) into PI 9.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.006 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.007 * [backup-simplify]: Simplify (- 0) into 0 9.007 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.008 * [backup-simplify]: Simplify 0 into 0 9.008 * [backup-simplify]: Simplify (+ 0 0) into 0 9.008 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 9.009 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 9.009 * [taylor]: Taking taylor expansion of PI in a 9.009 * [backup-simplify]: Simplify PI into PI 9.009 * [taylor]: Taking taylor expansion of (pow a 3) in a 9.009 * [taylor]: Taking taylor expansion of a in a 9.009 * [backup-simplify]: Simplify 0 into 0 9.009 * [backup-simplify]: Simplify 1 into 1 9.009 * [backup-simplify]: Simplify (* 1 1) into 1 9.009 * [backup-simplify]: Simplify (* 1 1) into 1 9.009 * [backup-simplify]: Simplify (/ PI 1) into PI 9.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.015 * [backup-simplify]: Simplify 0 into 0 9.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.016 * [backup-simplify]: Simplify (- 0) into 0 9.016 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.017 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify (/ PI (+ (/ 1 b) (/ 1 a))) into (/ PI (+ (/ 1 b) (/ 1 a))) 9.017 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in (b a) around 0 9.017 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a 9.017 * [taylor]: Taking taylor expansion of PI in a 9.017 * [backup-simplify]: Simplify PI into PI 9.017 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.017 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.017 * [taylor]: Taking taylor expansion of b in a 9.017 * [backup-simplify]: Simplify b into b 9.017 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.017 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.017 * [taylor]: Taking taylor expansion of a in a 9.017 * [backup-simplify]: Simplify 0 into 0 9.017 * [backup-simplify]: Simplify 1 into 1 9.018 * [backup-simplify]: Simplify (/ 1 1) into 1 9.018 * [backup-simplify]: Simplify (+ 0 1) into 1 9.018 * [backup-simplify]: Simplify (/ PI 1) into PI 9.018 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 9.018 * [taylor]: Taking taylor expansion of PI in b 9.018 * [backup-simplify]: Simplify PI into PI 9.018 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.018 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.018 * [taylor]: Taking taylor expansion of b in b 9.018 * [backup-simplify]: Simplify 0 into 0 9.018 * [backup-simplify]: Simplify 1 into 1 9.019 * [backup-simplify]: Simplify (/ 1 1) into 1 9.019 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.019 * [taylor]: Taking taylor expansion of a in b 9.019 * [backup-simplify]: Simplify a into a 9.019 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.019 * [backup-simplify]: Simplify (+ 1 0) into 1 9.019 * [backup-simplify]: Simplify (/ PI 1) into PI 9.019 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 9.019 * [taylor]: Taking taylor expansion of PI in b 9.019 * [backup-simplify]: Simplify PI into PI 9.019 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.019 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.019 * [taylor]: Taking taylor expansion of b in b 9.019 * [backup-simplify]: Simplify 0 into 0 9.019 * [backup-simplify]: Simplify 1 into 1 9.020 * [backup-simplify]: Simplify (/ 1 1) into 1 9.020 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.020 * [taylor]: Taking taylor expansion of a in b 9.020 * [backup-simplify]: Simplify a into a 9.020 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.020 * [backup-simplify]: Simplify (+ 1 0) into 1 9.020 * [backup-simplify]: Simplify (/ PI 1) into PI 9.020 * [taylor]: Taking taylor expansion of PI in a 9.020 * [backup-simplify]: Simplify PI into PI 9.020 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.021 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 9.021 * [taylor]: Taking taylor expansion of (- (/ PI a)) in a 9.021 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.021 * [taylor]: Taking taylor expansion of PI in a 9.021 * [backup-simplify]: Simplify PI into PI 9.021 * [taylor]: Taking taylor expansion of a in a 9.021 * [backup-simplify]: Simplify 0 into 0 9.021 * [backup-simplify]: Simplify 1 into 1 9.022 * [backup-simplify]: Simplify (/ PI 1) into PI 9.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.023 * [backup-simplify]: Simplify (- 0) into 0 9.023 * [backup-simplify]: Simplify 0 into 0 9.023 * [backup-simplify]: Simplify 0 into 0 9.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.024 * [backup-simplify]: Simplify (+ 0 0) into 0 9.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 9.025 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 9.025 * [taylor]: Taking taylor expansion of PI in a 9.025 * [backup-simplify]: Simplify PI into PI 9.025 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.025 * [taylor]: Taking taylor expansion of a in a 9.025 * [backup-simplify]: Simplify 0 into 0 9.025 * [backup-simplify]: Simplify 1 into 1 9.025 * [backup-simplify]: Simplify (* 1 1) into 1 9.026 * [backup-simplify]: Simplify (/ PI 1) into PI 9.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.029 * [backup-simplify]: Simplify 0 into 0 9.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.030 * [backup-simplify]: Simplify (- 0) into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) 9.030 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 9.030 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in a 9.030 * [taylor]: Taking taylor expansion of -1 in a 9.030 * [backup-simplify]: Simplify -1 into -1 9.030 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a 9.030 * [taylor]: Taking taylor expansion of PI in a 9.030 * [backup-simplify]: Simplify PI into PI 9.030 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.030 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.030 * [taylor]: Taking taylor expansion of b in a 9.030 * [backup-simplify]: Simplify b into b 9.030 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.030 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.030 * [taylor]: Taking taylor expansion of a in a 9.030 * [backup-simplify]: Simplify 0 into 0 9.030 * [backup-simplify]: Simplify 1 into 1 9.030 * [backup-simplify]: Simplify (/ 1 1) into 1 9.031 * [backup-simplify]: Simplify (+ 0 1) into 1 9.031 * [backup-simplify]: Simplify (/ PI 1) into PI 9.031 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in b 9.031 * [taylor]: Taking taylor expansion of -1 in b 9.031 * [backup-simplify]: Simplify -1 into -1 9.031 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 9.031 * [taylor]: Taking taylor expansion of PI in b 9.031 * [backup-simplify]: Simplify PI into PI 9.031 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.031 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.031 * [taylor]: Taking taylor expansion of b in b 9.031 * [backup-simplify]: Simplify 0 into 0 9.031 * [backup-simplify]: Simplify 1 into 1 9.031 * [backup-simplify]: Simplify (/ 1 1) into 1 9.031 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.031 * [taylor]: Taking taylor expansion of a in b 9.032 * [backup-simplify]: Simplify a into a 9.032 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.032 * [backup-simplify]: Simplify (+ 1 0) into 1 9.032 * [backup-simplify]: Simplify (/ PI 1) into PI 9.032 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in b 9.032 * [taylor]: Taking taylor expansion of -1 in b 9.032 * [backup-simplify]: Simplify -1 into -1 9.032 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 9.032 * [taylor]: Taking taylor expansion of PI in b 9.032 * [backup-simplify]: Simplify PI into PI 9.032 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.032 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.032 * [taylor]: Taking taylor expansion of b in b 9.032 * [backup-simplify]: Simplify 0 into 0 9.032 * [backup-simplify]: Simplify 1 into 1 9.037 * [backup-simplify]: Simplify (/ 1 1) into 1 9.037 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.037 * [taylor]: Taking taylor expansion of a in b 9.037 * [backup-simplify]: Simplify a into a 9.038 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.038 * [backup-simplify]: Simplify (+ 1 0) into 1 9.039 * [backup-simplify]: Simplify (/ PI 1) into PI 9.039 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 9.040 * [taylor]: Taking taylor expansion of (* -1 PI) in a 9.040 * [taylor]: Taking taylor expansion of -1 in a 9.040 * [backup-simplify]: Simplify -1 into -1 9.040 * [taylor]: Taking taylor expansion of PI in a 9.040 * [backup-simplify]: Simplify PI into PI 9.040 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 9.040 * [backup-simplify]: Simplify 0 into 0 9.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.041 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 9.042 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI a))) (* 0 PI)) into (/ PI a) 9.042 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.042 * [taylor]: Taking taylor expansion of PI in a 9.042 * [backup-simplify]: Simplify PI into PI 9.042 * [taylor]: Taking taylor expansion of a in a 9.042 * [backup-simplify]: Simplify 0 into 0 9.043 * [backup-simplify]: Simplify 1 into 1 9.043 * [backup-simplify]: Simplify (/ PI 1) into PI 9.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.045 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 9.046 * [backup-simplify]: Simplify 0 into 0 9.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.047 * [backup-simplify]: Simplify (+ 0 0) into 0 9.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 9.048 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (/ PI (pow a 2))) 9.048 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 2))) in a 9.048 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 9.048 * [taylor]: Taking taylor expansion of PI in a 9.048 * [backup-simplify]: Simplify PI into PI 9.048 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.048 * [taylor]: Taking taylor expansion of a in a 9.048 * [backup-simplify]: Simplify 0 into 0 9.048 * [backup-simplify]: Simplify 1 into 1 9.048 * [backup-simplify]: Simplify (* 1 1) into 1 9.048 * [backup-simplify]: Simplify (/ PI 1) into PI 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.052 * [backup-simplify]: Simplify (- 0) into 0 9.052 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.053 * [backup-simplify]: Simplify 0 into 0 9.054 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 9.054 * [backup-simplify]: Simplify (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) into (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (- b a)) 9.054 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (- b a)) in (a b) around 0 9.054 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (- b a)) in b 9.054 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in b 9.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in b 9.054 * [taylor]: Taking taylor expansion of 1/2 in b 9.054 * [backup-simplify]: Simplify 1/2 into 1/2 9.054 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.054 * [taylor]: Taking taylor expansion of a in b 9.054 * [backup-simplify]: Simplify a into a 9.054 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 9.054 * [taylor]: Taking taylor expansion of 1/2 in b 9.054 * [backup-simplify]: Simplify 1/2 into 1/2 9.054 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.054 * [taylor]: Taking taylor expansion of b in b 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [backup-simplify]: Simplify (/ 1 1) into 1 9.054 * [taylor]: Taking taylor expansion of (- b a) in b 9.054 * [taylor]: Taking taylor expansion of b in b 9.054 * [backup-simplify]: Simplify 0 into 0 9.054 * [backup-simplify]: Simplify 1 into 1 9.054 * [taylor]: Taking taylor expansion of a in b 9.054 * [backup-simplify]: Simplify a into a 9.055 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.055 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.055 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.055 * [backup-simplify]: Simplify (- a) into (- a) 9.055 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 9.055 * [backup-simplify]: Simplify (/ -1/2 (- a)) into (/ 1/2 a) 9.055 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (- b a)) in a 9.055 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 9.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 9.055 * [taylor]: Taking taylor expansion of 1/2 in a 9.055 * [backup-simplify]: Simplify 1/2 into 1/2 9.055 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.055 * [taylor]: Taking taylor expansion of a in a 9.055 * [backup-simplify]: Simplify 0 into 0 9.055 * [backup-simplify]: Simplify 1 into 1 9.056 * [backup-simplify]: Simplify (/ 1 1) into 1 9.056 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 9.056 * [taylor]: Taking taylor expansion of 1/2 in a 9.056 * [backup-simplify]: Simplify 1/2 into 1/2 9.056 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.056 * [taylor]: Taking taylor expansion of b in a 9.056 * [backup-simplify]: Simplify b into b 9.056 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.056 * [taylor]: Taking taylor expansion of (- b a) in a 9.056 * [taylor]: Taking taylor expansion of b in a 9.056 * [backup-simplify]: Simplify b into b 9.056 * [taylor]: Taking taylor expansion of a in a 9.056 * [backup-simplify]: Simplify 0 into 0 9.056 * [backup-simplify]: Simplify 1 into 1 9.056 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.056 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.057 * [backup-simplify]: Simplify (- 0) into 0 9.057 * [backup-simplify]: Simplify (+ b 0) into b 9.057 * [backup-simplify]: Simplify (/ 1/2 b) into (/ 1/2 b) 9.057 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (- b a)) in a 9.057 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 9.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 9.057 * [taylor]: Taking taylor expansion of 1/2 in a 9.057 * [backup-simplify]: Simplify 1/2 into 1/2 9.057 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.057 * [taylor]: Taking taylor expansion of a in a 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 1 into 1 9.057 * [backup-simplify]: Simplify (/ 1 1) into 1 9.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 9.057 * [taylor]: Taking taylor expansion of 1/2 in a 9.057 * [backup-simplify]: Simplify 1/2 into 1/2 9.057 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.057 * [taylor]: Taking taylor expansion of b in a 9.057 * [backup-simplify]: Simplify b into b 9.057 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.057 * [taylor]: Taking taylor expansion of (- b a) in a 9.057 * [taylor]: Taking taylor expansion of b in a 9.057 * [backup-simplify]: Simplify b into b 9.057 * [taylor]: Taking taylor expansion of a in a 9.057 * [backup-simplify]: Simplify 0 into 0 9.057 * [backup-simplify]: Simplify 1 into 1 9.058 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.058 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.058 * [backup-simplify]: Simplify (- 0) into 0 9.058 * [backup-simplify]: Simplify (+ b 0) into b 9.059 * [backup-simplify]: Simplify (/ 1/2 b) into (/ 1/2 b) 9.059 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 9.059 * [taylor]: Taking taylor expansion of 1/2 in b 9.059 * [backup-simplify]: Simplify 1/2 into 1/2 9.059 * [taylor]: Taking taylor expansion of b in b 9.059 * [backup-simplify]: Simplify 0 into 0 9.059 * [backup-simplify]: Simplify 1 into 1 9.059 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 9.059 * [backup-simplify]: Simplify 1/2 into 1/2 9.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.060 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.060 * [backup-simplify]: Simplify (* 1/2 (/ 1 b)) into (/ 1/2 b) 9.060 * [backup-simplify]: Simplify (- (/ 1/2 b)) into (- (* 1/2 (/ 1 b))) 9.060 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 b)))) into (- (* 1/2 (/ 1 b))) 9.060 * [backup-simplify]: Simplify (- 1) into -1 9.061 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.061 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ 1 b))) b) (+ (* (/ 1/2 b) (/ -1 b)))) into 0 9.061 * [taylor]: Taking taylor expansion of 0 in b 9.061 * [backup-simplify]: Simplify 0 into 0 9.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 9.062 * [backup-simplify]: Simplify 0 into 0 9.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 b))) into 0 9.063 * [backup-simplify]: Simplify (- 0) into 0 9.063 * [backup-simplify]: Simplify (+ 0 0) into 0 9.064 * [backup-simplify]: Simplify (- 0) into 0 9.064 * [backup-simplify]: Simplify (+ 0 0) into 0 9.064 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 9.064 * [taylor]: Taking taylor expansion of 0 in b 9.064 * [backup-simplify]: Simplify 0 into 0 9.064 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.065 * [backup-simplify]: Simplify 0 into 0 9.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 9.067 * [backup-simplify]: Simplify (- 0) into 0 9.068 * [backup-simplify]: Simplify (+ 0 0) into 0 9.068 * [backup-simplify]: Simplify (- 0) into 0 9.068 * [backup-simplify]: Simplify (+ 0 0) into 0 9.068 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 9.068 * [taylor]: Taking taylor expansion of 0 in b 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 0 into 0 9.068 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.069 * [backup-simplify]: Simplify 0 into 0 9.069 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) 9.069 * [backup-simplify]: Simplify (/ (- (/ 1/2 (/ 1 a)) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (/ (- (* 1/2 a) (* 1/2 b)) (- (/ 1 b) (/ 1 a))) 9.069 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 a) (* 1/2 b)) (- (/ 1 b) (/ 1 a))) in (a b) around 0 9.069 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 a) (* 1/2 b)) (- (/ 1 b) (/ 1 a))) in b 9.069 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in b 9.069 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 9.069 * [taylor]: Taking taylor expansion of 1/2 in b 9.069 * [backup-simplify]: Simplify 1/2 into 1/2 9.069 * [taylor]: Taking taylor expansion of a in b 9.069 * [backup-simplify]: Simplify a into a 9.069 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.069 * [taylor]: Taking taylor expansion of 1/2 in b 9.069 * [backup-simplify]: Simplify 1/2 into 1/2 9.069 * [taylor]: Taking taylor expansion of b in b 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 1 into 1 9.070 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 9.070 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.070 * [taylor]: Taking taylor expansion of b in b 9.070 * [backup-simplify]: Simplify 0 into 0 9.070 * [backup-simplify]: Simplify 1 into 1 9.070 * [backup-simplify]: Simplify (/ 1 1) into 1 9.070 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.070 * [taylor]: Taking taylor expansion of a in b 9.070 * [backup-simplify]: Simplify a into a 9.070 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.070 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 9.070 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.070 * [backup-simplify]: Simplify (- 0) into 0 9.071 * [backup-simplify]: Simplify (+ (* 1/2 a) 0) into (* 1/2 a) 9.071 * [backup-simplify]: Simplify (+ 1 0) into 1 9.071 * [backup-simplify]: Simplify (/ (* 1/2 a) 1) into (* 1/2 a) 9.071 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 a) (* 1/2 b)) (- (/ 1 b) (/ 1 a))) in a 9.071 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 9.071 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 9.071 * [taylor]: Taking taylor expansion of 1/2 in a 9.071 * [backup-simplify]: Simplify 1/2 into 1/2 9.071 * [taylor]: Taking taylor expansion of a in a 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.071 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 9.071 * [taylor]: Taking taylor expansion of 1/2 in a 9.071 * [backup-simplify]: Simplify 1/2 into 1/2 9.071 * [taylor]: Taking taylor expansion of b in a 9.071 * [backup-simplify]: Simplify b into b 9.071 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 9.071 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.071 * [taylor]: Taking taylor expansion of b in a 9.071 * [backup-simplify]: Simplify b into b 9.071 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.071 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.071 * [taylor]: Taking taylor expansion of a in a 9.071 * [backup-simplify]: Simplify 0 into 0 9.071 * [backup-simplify]: Simplify 1 into 1 9.071 * [backup-simplify]: Simplify (/ 1 1) into 1 9.072 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.072 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 9.072 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 9.072 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 9.072 * [backup-simplify]: Simplify (- 1) into -1 9.072 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.072 * [backup-simplify]: Simplify (/ (- (* 1/2 b)) -1) into (* 1/2 b) 9.073 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 a) (* 1/2 b)) (- (/ 1 b) (/ 1 a))) in a 9.073 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 9.073 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 9.073 * [taylor]: Taking taylor expansion of 1/2 in a 9.073 * [backup-simplify]: Simplify 1/2 into 1/2 9.073 * [taylor]: Taking taylor expansion of a in a 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 1 into 1 9.073 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 9.073 * [taylor]: Taking taylor expansion of 1/2 in a 9.073 * [backup-simplify]: Simplify 1/2 into 1/2 9.073 * [taylor]: Taking taylor expansion of b in a 9.073 * [backup-simplify]: Simplify b into b 9.073 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 9.073 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.073 * [taylor]: Taking taylor expansion of b in a 9.073 * [backup-simplify]: Simplify b into b 9.073 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.073 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.073 * [taylor]: Taking taylor expansion of a in a 9.073 * [backup-simplify]: Simplify 0 into 0 9.073 * [backup-simplify]: Simplify 1 into 1 9.073 * [backup-simplify]: Simplify (/ 1 1) into 1 9.074 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.074 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 9.074 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 9.074 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 9.074 * [backup-simplify]: Simplify (- 1) into -1 9.075 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.075 * [backup-simplify]: Simplify (/ (- (* 1/2 b)) -1) into (* 1/2 b) 9.075 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.075 * [taylor]: Taking taylor expansion of 1/2 in b 9.075 * [backup-simplify]: Simplify 1/2 into 1/2 9.075 * [taylor]: Taking taylor expansion of b in b 9.075 * [backup-simplify]: Simplify 0 into 0 9.075 * [backup-simplify]: Simplify 1 into 1 9.076 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.076 * [backup-simplify]: Simplify 1/2 into 1/2 9.076 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 9.077 * [backup-simplify]: Simplify (- 0) into 0 9.077 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.079 * [backup-simplify]: Simplify (- 0) into 0 9.079 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 9.079 * [backup-simplify]: Simplify (- (/ 1/2 -1) (+ (* (* 1/2 b) (/ (/ 1 b) -1)))) into 0 9.079 * [taylor]: Taking taylor expansion of 0 in b 9.079 * [backup-simplify]: Simplify 0 into 0 9.079 * [backup-simplify]: Simplify 0 into 0 9.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.080 * [backup-simplify]: Simplify 0 into 0 9.081 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 9.082 * [backup-simplify]: Simplify (- 0) into 0 9.083 * [backup-simplify]: Simplify (+ 0 0) into 0 9.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.084 * [backup-simplify]: Simplify (- 0) into 0 9.084 * [backup-simplify]: Simplify (+ 0 0) into 0 9.085 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 b) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 9.085 * [taylor]: Taking taylor expansion of 0 in b 9.085 * [backup-simplify]: Simplify 0 into 0 9.085 * [backup-simplify]: Simplify 0 into 0 9.086 * [backup-simplify]: Simplify 0 into 0 9.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.087 * [backup-simplify]: Simplify 0 into 0 9.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.089 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.089 * [backup-simplify]: Simplify (- 0) into 0 9.090 * [backup-simplify]: Simplify (+ 0 0) into 0 9.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.092 * [backup-simplify]: Simplify (- 0) into 0 9.092 * [backup-simplify]: Simplify (+ 0 0) into 0 9.094 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 b) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 9.094 * [taylor]: Taking taylor expansion of 0 in b 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) 9.094 * [backup-simplify]: Simplify (/ (- (/ 1/2 (/ 1 (- a))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (/ (- (* 1/2 b) (* 1/2 a)) (- (/ 1 a) (/ 1 b))) 9.094 * [approximate]: Taking taylor expansion of (/ (- (* 1/2 b) (* 1/2 a)) (- (/ 1 a) (/ 1 b))) in (a b) around 0 9.094 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 b) (* 1/2 a)) (- (/ 1 a) (/ 1 b))) in b 9.094 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in b 9.094 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.094 * [taylor]: Taking taylor expansion of 1/2 in b 9.094 * [backup-simplify]: Simplify 1/2 into 1/2 9.094 * [taylor]: Taking taylor expansion of b in b 9.094 * [backup-simplify]: Simplify 0 into 0 9.094 * [backup-simplify]: Simplify 1 into 1 9.094 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 9.094 * [taylor]: Taking taylor expansion of 1/2 in b 9.094 * [backup-simplify]: Simplify 1/2 into 1/2 9.094 * [taylor]: Taking taylor expansion of a in b 9.094 * [backup-simplify]: Simplify a into a 9.094 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 9.095 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.095 * [taylor]: Taking taylor expansion of a in b 9.095 * [backup-simplify]: Simplify a into a 9.095 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.095 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.095 * [taylor]: Taking taylor expansion of b in b 9.095 * [backup-simplify]: Simplify 0 into 0 9.095 * [backup-simplify]: Simplify 1 into 1 9.095 * [backup-simplify]: Simplify (/ 1 1) into 1 9.096 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.096 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 9.096 * [backup-simplify]: Simplify (- (* 1/2 a)) into (- (* 1/2 a)) 9.096 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 a))) into (- (* 1/2 a)) 9.096 * [backup-simplify]: Simplify (- 1) into -1 9.097 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.097 * [backup-simplify]: Simplify (/ (- (* 1/2 a)) -1) into (* 1/2 a) 9.097 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 b) (* 1/2 a)) (- (/ 1 a) (/ 1 b))) in a 9.097 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 9.097 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 9.097 * [taylor]: Taking taylor expansion of 1/2 in a 9.097 * [backup-simplify]: Simplify 1/2 into 1/2 9.097 * [taylor]: Taking taylor expansion of b in a 9.097 * [backup-simplify]: Simplify b into b 9.097 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 9.097 * [taylor]: Taking taylor expansion of 1/2 in a 9.097 * [backup-simplify]: Simplify 1/2 into 1/2 9.097 * [taylor]: Taking taylor expansion of a in a 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.097 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 9.097 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.097 * [taylor]: Taking taylor expansion of a in a 9.097 * [backup-simplify]: Simplify 0 into 0 9.097 * [backup-simplify]: Simplify 1 into 1 9.097 * [backup-simplify]: Simplify (/ 1 1) into 1 9.097 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.097 * [taylor]: Taking taylor expansion of b in a 9.097 * [backup-simplify]: Simplify b into b 9.098 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.098 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 9.098 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.098 * [backup-simplify]: Simplify (- 0) into 0 9.098 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 9.099 * [backup-simplify]: Simplify (+ 1 0) into 1 9.099 * [backup-simplify]: Simplify (/ (* 1/2 b) 1) into (* 1/2 b) 9.099 * [taylor]: Taking taylor expansion of (/ (- (* 1/2 b) (* 1/2 a)) (- (/ 1 a) (/ 1 b))) in a 9.099 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 9.099 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 9.099 * [taylor]: Taking taylor expansion of 1/2 in a 9.099 * [backup-simplify]: Simplify 1/2 into 1/2 9.099 * [taylor]: Taking taylor expansion of b in a 9.099 * [backup-simplify]: Simplify b into b 9.099 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 9.099 * [taylor]: Taking taylor expansion of 1/2 in a 9.099 * [backup-simplify]: Simplify 1/2 into 1/2 9.099 * [taylor]: Taking taylor expansion of a in a 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify 1 into 1 9.099 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 9.099 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.099 * [taylor]: Taking taylor expansion of a in a 9.099 * [backup-simplify]: Simplify 0 into 0 9.099 * [backup-simplify]: Simplify 1 into 1 9.100 * [backup-simplify]: Simplify (/ 1 1) into 1 9.100 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.100 * [taylor]: Taking taylor expansion of b in a 9.100 * [backup-simplify]: Simplify b into b 9.100 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.100 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 9.100 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.101 * [backup-simplify]: Simplify (- 0) into 0 9.101 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 9.101 * [backup-simplify]: Simplify (+ 1 0) into 1 9.101 * [backup-simplify]: Simplify (/ (* 1/2 b) 1) into (* 1/2 b) 9.101 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.101 * [taylor]: Taking taylor expansion of 1/2 in b 9.101 * [backup-simplify]: Simplify 1/2 into 1/2 9.102 * [taylor]: Taking taylor expansion of b in b 9.102 * [backup-simplify]: Simplify 0 into 0 9.102 * [backup-simplify]: Simplify 1 into 1 9.102 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.102 * [backup-simplify]: Simplify 1/2 into 1/2 9.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 9.103 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.104 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.104 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.105 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 9.105 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 9.106 * [backup-simplify]: Simplify (- (/ -1/2 1) (+ (* (* 1/2 b) (/ (- (/ 1 b)) 1)))) into 0 9.106 * [taylor]: Taking taylor expansion of 0 in b 9.106 * [backup-simplify]: Simplify 0 into 0 9.106 * [backup-simplify]: Simplify 0 into 0 9.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.107 * [backup-simplify]: Simplify 0 into 0 9.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 9.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.109 * [backup-simplify]: Simplify (- 0) into 0 9.110 * [backup-simplify]: Simplify (+ 0 0) into 0 9.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.111 * [backup-simplify]: Simplify (- 0) into 0 9.111 * [backup-simplify]: Simplify (+ 0 0) into 0 9.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 b) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 9.112 * [taylor]: Taking taylor expansion of 0 in b 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 0 into 0 9.112 * [backup-simplify]: Simplify 0 into 0 9.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.113 * [backup-simplify]: Simplify 0 into 0 9.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.116 * [backup-simplify]: Simplify (- 0) into 0 9.116 * [backup-simplify]: Simplify (+ 0 0) into 0 9.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.118 * [backup-simplify]: Simplify (- 0) into 0 9.118 * [backup-simplify]: Simplify (+ 0 0) into 0 9.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 b) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 9.120 * [taylor]: Taking taylor expansion of 0 in b 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify 0 into 0 9.120 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1/2 (* a b)) 9.120 * * * * [progress]: [ 3 / 4 ] generating series at (2) 9.120 * [backup-simplify]: Simplify (* (/ PI (+ b a)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) into (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (* (- b a) (+ a b))) 9.120 * [approximate]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (* (- b a) (+ a b))) in (b a) around 0 9.120 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 9.120 * [taylor]: Taking taylor expansion of (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) in a 9.120 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 9.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 9.120 * [taylor]: Taking taylor expansion of 1/2 in a 9.120 * [backup-simplify]: Simplify 1/2 into 1/2 9.120 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.120 * [taylor]: Taking taylor expansion of a in a 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 1 into 1 9.121 * [backup-simplify]: Simplify (/ 1 1) into 1 9.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 9.121 * [taylor]: Taking taylor expansion of 1/2 in a 9.121 * [backup-simplify]: Simplify 1/2 into 1/2 9.121 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.121 * [taylor]: Taking taylor expansion of b in a 9.121 * [backup-simplify]: Simplify b into b 9.121 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.121 * [taylor]: Taking taylor expansion of PI in a 9.121 * [backup-simplify]: Simplify PI into PI 9.121 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 9.121 * [taylor]: Taking taylor expansion of (- b a) in a 9.121 * [taylor]: Taking taylor expansion of b in a 9.121 * [backup-simplify]: Simplify b into b 9.121 * [taylor]: Taking taylor expansion of a in a 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 1 into 1 9.121 * [taylor]: Taking taylor expansion of (+ a b) in a 9.121 * [taylor]: Taking taylor expansion of a in a 9.121 * [backup-simplify]: Simplify 0 into 0 9.121 * [backup-simplify]: Simplify 1 into 1 9.121 * [taylor]: Taking taylor expansion of b in a 9.121 * [backup-simplify]: Simplify b into b 9.122 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.122 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.123 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 9.123 * [backup-simplify]: Simplify (- 0) into 0 9.123 * [backup-simplify]: Simplify (+ b 0) into b 9.123 * [backup-simplify]: Simplify (+ 0 b) into b 9.123 * [backup-simplify]: Simplify (* b b) into (pow b 2) 9.124 * [backup-simplify]: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) 9.124 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 9.124 * [taylor]: Taking taylor expansion of (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) in b 9.124 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in b 9.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in b 9.124 * [taylor]: Taking taylor expansion of 1/2 in b 9.124 * [backup-simplify]: Simplify 1/2 into 1/2 9.124 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.124 * [taylor]: Taking taylor expansion of a in b 9.124 * [backup-simplify]: Simplify a into a 9.124 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 9.124 * [taylor]: Taking taylor expansion of 1/2 in b 9.124 * [backup-simplify]: Simplify 1/2 into 1/2 9.124 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.124 * [taylor]: Taking taylor expansion of b in b 9.124 * [backup-simplify]: Simplify 0 into 0 9.124 * [backup-simplify]: Simplify 1 into 1 9.125 * [backup-simplify]: Simplify (/ 1 1) into 1 9.125 * [taylor]: Taking taylor expansion of PI in b 9.125 * [backup-simplify]: Simplify PI into PI 9.125 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 9.125 * [taylor]: Taking taylor expansion of (- b a) in b 9.125 * [taylor]: Taking taylor expansion of b in b 9.125 * [backup-simplify]: Simplify 0 into 0 9.125 * [backup-simplify]: Simplify 1 into 1 9.125 * [taylor]: Taking taylor expansion of a in b 9.125 * [backup-simplify]: Simplify a into a 9.125 * [taylor]: Taking taylor expansion of (+ a b) in b 9.125 * [taylor]: Taking taylor expansion of a in b 9.125 * [backup-simplify]: Simplify a into a 9.125 * [taylor]: Taking taylor expansion of b in b 9.125 * [backup-simplify]: Simplify 0 into 0 9.125 * [backup-simplify]: Simplify 1 into 1 9.126 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.126 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.126 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.127 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 9.127 * [backup-simplify]: Simplify (- a) into (- a) 9.127 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 9.127 * [backup-simplify]: Simplify (+ a 0) into a 9.127 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 9.128 * [backup-simplify]: Simplify (/ (* -1/2 PI) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 9.128 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 9.128 * [taylor]: Taking taylor expansion of (* (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) PI) in b 9.128 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in b 9.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in b 9.128 * [taylor]: Taking taylor expansion of 1/2 in b 9.128 * [backup-simplify]: Simplify 1/2 into 1/2 9.128 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.128 * [taylor]: Taking taylor expansion of a in b 9.128 * [backup-simplify]: Simplify a into a 9.128 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 9.128 * [taylor]: Taking taylor expansion of 1/2 in b 9.128 * [backup-simplify]: Simplify 1/2 into 1/2 9.128 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.128 * [taylor]: Taking taylor expansion of b in b 9.128 * [backup-simplify]: Simplify 0 into 0 9.128 * [backup-simplify]: Simplify 1 into 1 9.128 * [backup-simplify]: Simplify (/ 1 1) into 1 9.128 * [taylor]: Taking taylor expansion of PI in b 9.128 * [backup-simplify]: Simplify PI into PI 9.129 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 9.129 * [taylor]: Taking taylor expansion of (- b a) in b 9.129 * [taylor]: Taking taylor expansion of b in b 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 1 into 1 9.129 * [taylor]: Taking taylor expansion of a in b 9.129 * [backup-simplify]: Simplify a into a 9.129 * [taylor]: Taking taylor expansion of (+ a b) in b 9.129 * [taylor]: Taking taylor expansion of a in b 9.129 * [backup-simplify]: Simplify a into a 9.129 * [taylor]: Taking taylor expansion of b in b 9.129 * [backup-simplify]: Simplify 0 into 0 9.129 * [backup-simplify]: Simplify 1 into 1 9.129 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.130 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.130 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.130 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 9.131 * [backup-simplify]: Simplify (- a) into (- a) 9.131 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 9.131 * [backup-simplify]: Simplify (+ a 0) into a 9.131 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 9.131 * [backup-simplify]: Simplify (/ (* -1/2 PI) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 9.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 9.131 * [taylor]: Taking taylor expansion of 1/2 in a 9.132 * [backup-simplify]: Simplify 1/2 into 1/2 9.132 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 9.132 * [taylor]: Taking taylor expansion of PI in a 9.132 * [backup-simplify]: Simplify PI into PI 9.132 * [taylor]: Taking taylor expansion of (pow a 2) in a 9.132 * [taylor]: Taking taylor expansion of a in a 9.132 * [backup-simplify]: Simplify 0 into 0 9.132 * [backup-simplify]: Simplify 1 into 1 9.132 * [backup-simplify]: Simplify (* 1 1) into 1 9.133 * [backup-simplify]: Simplify (/ PI 1) into PI 9.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 9.134 * [backup-simplify]: Simplify 0 into 0 9.134 * [backup-simplify]: Simplify (* 1/2 (/ 1 a)) into (/ 1/2 a) 9.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.135 * [backup-simplify]: Simplify (- 0) into 0 9.135 * [backup-simplify]: Simplify (+ (/ 1/2 a) 0) into (* 1/2 (/ 1 a)) 9.136 * [backup-simplify]: Simplify (+ (* -1/2 0) (* (* 1/2 (/ 1 a)) PI)) into (* 1/2 (/ PI a)) 9.136 * [backup-simplify]: Simplify (+ 0 1) into 1 9.136 * [backup-simplify]: Simplify (- 0) into 0 9.137 * [backup-simplify]: Simplify (+ 1 0) into 1 9.137 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 a)) into 0 9.137 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ PI a)) (* -1 (pow a 2))) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) into (- (* 1/2 (/ PI (pow a 3)))) 9.137 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a 9.137 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a 9.137 * [taylor]: Taking taylor expansion of 1/2 in a 9.137 * [backup-simplify]: Simplify 1/2 into 1/2 9.137 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 9.137 * [taylor]: Taking taylor expansion of PI in a 9.137 * [backup-simplify]: Simplify PI into PI 9.137 * [taylor]: Taking taylor expansion of (pow a 3) in a 9.137 * [taylor]: Taking taylor expansion of a in a 9.137 * [backup-simplify]: Simplify 0 into 0 9.137 * [backup-simplify]: Simplify 1 into 1 9.137 * [backup-simplify]: Simplify (* 1 1) into 1 9.138 * [backup-simplify]: Simplify (* 1 1) into 1 9.138 * [backup-simplify]: Simplify (/ PI 1) into PI 9.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.141 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.142 * [backup-simplify]: Simplify (- 0) into 0 9.142 * [backup-simplify]: Simplify 0 into 0 9.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.143 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.144 * [backup-simplify]: Simplify 0 into 0 9.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.144 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 a))) into 0 9.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.145 * [backup-simplify]: Simplify (- 0) into 0 9.146 * [backup-simplify]: Simplify (+ 0 0) into 0 9.146 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* (* 1/2 (/ 1 a)) 0) (* 0 PI))) into 0 9.146 * [backup-simplify]: Simplify (+ 0 0) into 0 9.147 * [backup-simplify]: Simplify (- 0) into 0 9.147 * [backup-simplify]: Simplify (+ 0 0) into 0 9.147 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 a))) into 1 9.148 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* (- (* 1/2 (/ PI (pow a 3)))) (/ 0 (* -1 (pow a 2)))))) into (* 1/2 (/ PI (pow a 4))) 9.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a 9.148 * [taylor]: Taking taylor expansion of 1/2 in a 9.148 * [backup-simplify]: Simplify 1/2 into 1/2 9.148 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 9.148 * [taylor]: Taking taylor expansion of PI in a 9.148 * [backup-simplify]: Simplify PI into PI 9.148 * [taylor]: Taking taylor expansion of (pow a 4) in a 9.148 * [taylor]: Taking taylor expansion of a in a 9.148 * [backup-simplify]: Simplify 0 into 0 9.148 * [backup-simplify]: Simplify 1 into 1 9.148 * [backup-simplify]: Simplify (* 1 1) into 1 9.148 * [backup-simplify]: Simplify (* 1 1) into 1 9.149 * [backup-simplify]: Simplify (/ PI 1) into PI 9.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 9.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 9.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.158 * [backup-simplify]: Simplify 0 into 0 9.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.162 * [backup-simplify]: Simplify (- 0) into 0 9.162 * [backup-simplify]: Simplify 0 into 0 9.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify 0 into 0 9.165 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 b) (/ 1 a))) (/ (- (/ 1/2 (/ 1 a)) (/ 1/2 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) into (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) 9.165 * [approximate]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 9.165 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 9.165 * [taylor]: Taking taylor expansion of (* (- (* 1/2 a) (* 1/2 b)) PI) in a 9.166 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 9.166 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 9.166 * [taylor]: Taking taylor expansion of 1/2 in a 9.166 * [backup-simplify]: Simplify 1/2 into 1/2 9.166 * [taylor]: Taking taylor expansion of a in a 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 9.166 * [taylor]: Taking taylor expansion of 1/2 in a 9.166 * [backup-simplify]: Simplify 1/2 into 1/2 9.166 * [taylor]: Taking taylor expansion of b in a 9.166 * [backup-simplify]: Simplify b into b 9.166 * [taylor]: Taking taylor expansion of PI in a 9.166 * [backup-simplify]: Simplify PI into PI 9.166 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 9.166 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 9.166 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.166 * [taylor]: Taking taylor expansion of b in a 9.166 * [backup-simplify]: Simplify b into b 9.166 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.166 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.166 * [taylor]: Taking taylor expansion of a in a 9.166 * [backup-simplify]: Simplify 0 into 0 9.166 * [backup-simplify]: Simplify 1 into 1 9.166 * [backup-simplify]: Simplify (/ 1 1) into 1 9.166 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.167 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.167 * [taylor]: Taking taylor expansion of b in a 9.167 * [backup-simplify]: Simplify b into b 9.167 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.167 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.167 * [taylor]: Taking taylor expansion of a in a 9.167 * [backup-simplify]: Simplify 0 into 0 9.167 * [backup-simplify]: Simplify 1 into 1 9.167 * [backup-simplify]: Simplify (/ 1 1) into 1 9.167 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.168 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 9.168 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 9.168 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 9.168 * [backup-simplify]: Simplify (* (- (* 1/2 b)) PI) into (* -1/2 (* PI b)) 9.168 * [backup-simplify]: Simplify (- 1) into -1 9.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.169 * [backup-simplify]: Simplify (+ 0 1) into 1 9.169 * [backup-simplify]: Simplify (* -1 1) into -1 9.169 * [backup-simplify]: Simplify (/ (* -1/2 (* PI b)) -1) into (* 1/2 (* b PI)) 9.170 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 9.170 * [taylor]: Taking taylor expansion of (* (- (* 1/2 a) (* 1/2 b)) PI) in b 9.170 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in b 9.170 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 9.170 * [taylor]: Taking taylor expansion of 1/2 in b 9.170 * [backup-simplify]: Simplify 1/2 into 1/2 9.170 * [taylor]: Taking taylor expansion of a in b 9.170 * [backup-simplify]: Simplify a into a 9.170 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.170 * [taylor]: Taking taylor expansion of 1/2 in b 9.170 * [backup-simplify]: Simplify 1/2 into 1/2 9.170 * [taylor]: Taking taylor expansion of b in b 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 1 into 1 9.170 * [taylor]: Taking taylor expansion of PI in b 9.170 * [backup-simplify]: Simplify PI into PI 9.170 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 9.170 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 9.170 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.170 * [taylor]: Taking taylor expansion of b in b 9.170 * [backup-simplify]: Simplify 0 into 0 9.170 * [backup-simplify]: Simplify 1 into 1 9.170 * [backup-simplify]: Simplify (/ 1 1) into 1 9.170 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.170 * [taylor]: Taking taylor expansion of a in b 9.170 * [backup-simplify]: Simplify a into a 9.171 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.171 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.171 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.171 * [taylor]: Taking taylor expansion of b in b 9.171 * [backup-simplify]: Simplify 0 into 0 9.171 * [backup-simplify]: Simplify 1 into 1 9.171 * [backup-simplify]: Simplify (/ 1 1) into 1 9.171 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.171 * [taylor]: Taking taylor expansion of a in b 9.171 * [backup-simplify]: Simplify a into a 9.171 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.171 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 9.172 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.172 * [backup-simplify]: Simplify (- 0) into 0 9.172 * [backup-simplify]: Simplify (+ (* 1/2 a) 0) into (* 1/2 a) 9.172 * [backup-simplify]: Simplify (* (* 1/2 a) PI) into (* 1/2 (* a PI)) 9.173 * [backup-simplify]: Simplify (+ 1 0) into 1 9.173 * [backup-simplify]: Simplify (+ 1 0) into 1 9.173 * [backup-simplify]: Simplify (* 1 1) into 1 9.173 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 9.173 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 a) (* 1/2 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 9.174 * [taylor]: Taking taylor expansion of (* (- (* 1/2 a) (* 1/2 b)) PI) in b 9.174 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in b 9.174 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 9.174 * [taylor]: Taking taylor expansion of 1/2 in b 9.174 * [backup-simplify]: Simplify 1/2 into 1/2 9.174 * [taylor]: Taking taylor expansion of a in b 9.174 * [backup-simplify]: Simplify a into a 9.174 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.174 * [taylor]: Taking taylor expansion of 1/2 in b 9.174 * [backup-simplify]: Simplify 1/2 into 1/2 9.174 * [taylor]: Taking taylor expansion of b in b 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify 1 into 1 9.174 * [taylor]: Taking taylor expansion of PI in b 9.174 * [backup-simplify]: Simplify PI into PI 9.174 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 9.174 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 9.174 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.174 * [taylor]: Taking taylor expansion of b in b 9.174 * [backup-simplify]: Simplify 0 into 0 9.174 * [backup-simplify]: Simplify 1 into 1 9.174 * [backup-simplify]: Simplify (/ 1 1) into 1 9.174 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.174 * [taylor]: Taking taylor expansion of a in b 9.175 * [backup-simplify]: Simplify a into a 9.175 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.175 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.175 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.175 * [taylor]: Taking taylor expansion of b in b 9.175 * [backup-simplify]: Simplify 0 into 0 9.175 * [backup-simplify]: Simplify 1 into 1 9.175 * [backup-simplify]: Simplify (/ 1 1) into 1 9.175 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.175 * [taylor]: Taking taylor expansion of a in b 9.175 * [backup-simplify]: Simplify a into a 9.175 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.175 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 9.176 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.176 * [backup-simplify]: Simplify (- 0) into 0 9.177 * [backup-simplify]: Simplify (+ (* 1/2 a) 0) into (* 1/2 a) 9.177 * [backup-simplify]: Simplify (* (* 1/2 a) PI) into (* 1/2 (* a PI)) 9.177 * [backup-simplify]: Simplify (+ 1 0) into 1 9.177 * [backup-simplify]: Simplify (+ 1 0) into 1 9.178 * [backup-simplify]: Simplify (* 1 1) into 1 9.178 * [backup-simplify]: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) 9.178 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 9.178 * [taylor]: Taking taylor expansion of 1/2 in a 9.178 * [backup-simplify]: Simplify 1/2 into 1/2 9.178 * [taylor]: Taking taylor expansion of (* a PI) in a 9.178 * [taylor]: Taking taylor expansion of a in a 9.178 * [backup-simplify]: Simplify 0 into 0 9.178 * [backup-simplify]: Simplify 1 into 1 9.178 * [taylor]: Taking taylor expansion of PI in a 9.178 * [backup-simplify]: Simplify PI into PI 9.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.181 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.181 * [backup-simplify]: Simplify (* 0 PI) into 0 9.182 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.182 * [backup-simplify]: Simplify 0 into 0 9.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 a)) into 0 9.183 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.184 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.184 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.185 * [backup-simplify]: Simplify (+ (* (* 1/2 a) 0) (* -1/2 PI)) into (- (* 1/2 PI)) 9.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.186 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.186 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 9.186 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 9.187 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 9.189 * [backup-simplify]: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)))) into (- (* 1/2 PI)) 9.189 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 9.189 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 9.189 * [taylor]: Taking taylor expansion of 1/2 in a 9.189 * [backup-simplify]: Simplify 1/2 into 1/2 9.189 * [taylor]: Taking taylor expansion of PI in a 9.189 * [backup-simplify]: Simplify PI into PI 9.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.190 * [backup-simplify]: Simplify (- 0) into 0 9.190 * [backup-simplify]: Simplify 0 into 0 9.192 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.193 * [backup-simplify]: Simplify 0 into 0 9.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0 9.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.195 * [backup-simplify]: Simplify (- 0) into 0 9.195 * [backup-simplify]: Simplify (+ 0 0) into 0 9.196 * [backup-simplify]: Simplify (+ (* (* 1/2 a) 0) (+ (* -1/2 0) (* 0 PI))) into 0 9.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.198 * [backup-simplify]: Simplify (+ 0 0) into 0 9.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.199 * [backup-simplify]: Simplify (- 0) into 0 9.199 * [backup-simplify]: Simplify (+ 0 0) into 0 9.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 9.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into (* 1/2 (/ PI a)) 9.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 9.202 * [taylor]: Taking taylor expansion of 1/2 in a 9.202 * [backup-simplify]: Simplify 1/2 into 1/2 9.202 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.202 * [taylor]: Taking taylor expansion of PI in a 9.202 * [backup-simplify]: Simplify PI into PI 9.202 * [taylor]: Taking taylor expansion of a in a 9.202 * [backup-simplify]: Simplify 0 into 0 9.202 * [backup-simplify]: Simplify 1 into 1 9.202 * [backup-simplify]: Simplify (/ PI 1) into PI 9.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.205 * [backup-simplify]: Simplify 0 into 0 9.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.205 * [backup-simplify]: Simplify (- 0) into 0 9.206 * [backup-simplify]: Simplify 0 into 0 9.206 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.207 * [backup-simplify]: Simplify 0 into 0 9.207 * [backup-simplify]: Simplify 0 into 0 9.207 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) (/ (- (/ 1/2 (/ 1 (- a))) (/ 1/2 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) 9.207 * [approximate]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) in (b a) around 0 9.207 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) in a 9.208 * [taylor]: Taking taylor expansion of -1 in a 9.208 * [backup-simplify]: Simplify -1 into -1 9.208 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b)))) in a 9.208 * [taylor]: Taking taylor expansion of (* (- (* 1/2 b) (* 1/2 a)) PI) in a 9.208 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 9.208 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 9.208 * [taylor]: Taking taylor expansion of 1/2 in a 9.208 * [backup-simplify]: Simplify 1/2 into 1/2 9.208 * [taylor]: Taking taylor expansion of b in a 9.208 * [backup-simplify]: Simplify b into b 9.208 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 9.208 * [taylor]: Taking taylor expansion of 1/2 in a 9.208 * [backup-simplify]: Simplify 1/2 into 1/2 9.208 * [taylor]: Taking taylor expansion of a in a 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 1 into 1 9.208 * [taylor]: Taking taylor expansion of PI in a 9.208 * [backup-simplify]: Simplify PI into PI 9.208 * [taylor]: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) in a 9.208 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 9.208 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.208 * [taylor]: Taking taylor expansion of b in a 9.208 * [backup-simplify]: Simplify b into b 9.208 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.208 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.208 * [taylor]: Taking taylor expansion of a in a 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 1 into 1 9.208 * [backup-simplify]: Simplify (/ 1 1) into 1 9.208 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 9.208 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.208 * [taylor]: Taking taylor expansion of a in a 9.208 * [backup-simplify]: Simplify 0 into 0 9.208 * [backup-simplify]: Simplify 1 into 1 9.209 * [backup-simplify]: Simplify (/ 1 1) into 1 9.209 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.209 * [taylor]: Taking taylor expansion of b in a 9.209 * [backup-simplify]: Simplify b into b 9.209 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.209 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 9.209 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.209 * [backup-simplify]: Simplify (- 0) into 0 9.209 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 9.209 * [backup-simplify]: Simplify (* (* 1/2 b) PI) into (* 1/2 (* PI b)) 9.210 * [backup-simplify]: Simplify (+ 0 1) into 1 9.210 * [backup-simplify]: Simplify (+ 1 0) into 1 9.210 * [backup-simplify]: Simplify (* 1 1) into 1 9.210 * [backup-simplify]: Simplify (/ (* 1/2 (* PI b)) 1) into (* 1/2 (* b PI)) 9.210 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) in b 9.210 * [taylor]: Taking taylor expansion of -1 in b 9.210 * [backup-simplify]: Simplify -1 into -1 9.210 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b)))) in b 9.210 * [taylor]: Taking taylor expansion of (* (- (* 1/2 b) (* 1/2 a)) PI) in b 9.210 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in b 9.210 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.210 * [taylor]: Taking taylor expansion of 1/2 in b 9.210 * [backup-simplify]: Simplify 1/2 into 1/2 9.210 * [taylor]: Taking taylor expansion of b in b 9.210 * [backup-simplify]: Simplify 0 into 0 9.210 * [backup-simplify]: Simplify 1 into 1 9.211 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 9.211 * [taylor]: Taking taylor expansion of 1/2 in b 9.211 * [backup-simplify]: Simplify 1/2 into 1/2 9.211 * [taylor]: Taking taylor expansion of a in b 9.211 * [backup-simplify]: Simplify a into a 9.211 * [taylor]: Taking taylor expansion of PI in b 9.211 * [backup-simplify]: Simplify PI into PI 9.211 * [taylor]: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) in b 9.211 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.211 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.211 * [taylor]: Taking taylor expansion of b in b 9.211 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify 1 into 1 9.211 * [backup-simplify]: Simplify (/ 1 1) into 1 9.211 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.211 * [taylor]: Taking taylor expansion of a in b 9.211 * [backup-simplify]: Simplify a into a 9.211 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.211 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 9.211 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.211 * [taylor]: Taking taylor expansion of a in b 9.211 * [backup-simplify]: Simplify a into a 9.211 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.211 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.211 * [taylor]: Taking taylor expansion of b in b 9.211 * [backup-simplify]: Simplify 0 into 0 9.211 * [backup-simplify]: Simplify 1 into 1 9.211 * [backup-simplify]: Simplify (/ 1 1) into 1 9.212 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.212 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 9.212 * [backup-simplify]: Simplify (- (* 1/2 a)) into (- (* 1/2 a)) 9.212 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 a))) into (- (* 1/2 a)) 9.212 * [backup-simplify]: Simplify (* (- (* 1/2 a)) PI) into (* -1/2 (* a PI)) 9.212 * [backup-simplify]: Simplify (+ 1 0) into 1 9.212 * [backup-simplify]: Simplify (- 1) into -1 9.213 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.213 * [backup-simplify]: Simplify (* 1 -1) into -1 9.213 * [backup-simplify]: Simplify (/ (* -1/2 (* a PI)) -1) into (* 1/2 (* a PI)) 9.213 * [taylor]: Taking taylor expansion of (* -1 (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))))) in b 9.213 * [taylor]: Taking taylor expansion of -1 in b 9.213 * [backup-simplify]: Simplify -1 into -1 9.213 * [taylor]: Taking taylor expansion of (/ (* (- (* 1/2 b) (* 1/2 a)) PI) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b)))) in b 9.213 * [taylor]: Taking taylor expansion of (* (- (* 1/2 b) (* 1/2 a)) PI) in b 9.213 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in b 9.213 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.213 * [taylor]: Taking taylor expansion of 1/2 in b 9.213 * [backup-simplify]: Simplify 1/2 into 1/2 9.213 * [taylor]: Taking taylor expansion of b in b 9.213 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify 1 into 1 9.213 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 9.213 * [taylor]: Taking taylor expansion of 1/2 in b 9.213 * [backup-simplify]: Simplify 1/2 into 1/2 9.213 * [taylor]: Taking taylor expansion of a in b 9.213 * [backup-simplify]: Simplify a into a 9.213 * [taylor]: Taking taylor expansion of PI in b 9.213 * [backup-simplify]: Simplify PI into PI 9.213 * [taylor]: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 a) (/ 1 b))) in b 9.213 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 9.213 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.213 * [taylor]: Taking taylor expansion of b in b 9.213 * [backup-simplify]: Simplify 0 into 0 9.213 * [backup-simplify]: Simplify 1 into 1 9.214 * [backup-simplify]: Simplify (/ 1 1) into 1 9.214 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.214 * [taylor]: Taking taylor expansion of a in b 9.214 * [backup-simplify]: Simplify a into a 9.214 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.214 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 9.214 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.214 * [taylor]: Taking taylor expansion of a in b 9.214 * [backup-simplify]: Simplify a into a 9.214 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.214 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.214 * [taylor]: Taking taylor expansion of b in b 9.214 * [backup-simplify]: Simplify 0 into 0 9.214 * [backup-simplify]: Simplify 1 into 1 9.214 * [backup-simplify]: Simplify (/ 1 1) into 1 9.214 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.214 * [backup-simplify]: Simplify (* 1/2 a) into (* 1/2 a) 9.214 * [backup-simplify]: Simplify (- (* 1/2 a)) into (- (* 1/2 a)) 9.215 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 a))) into (- (* 1/2 a)) 9.215 * [backup-simplify]: Simplify (* (- (* 1/2 a)) PI) into (* -1/2 (* a PI)) 9.215 * [backup-simplify]: Simplify (+ 1 0) into 1 9.215 * [backup-simplify]: Simplify (- 1) into -1 9.215 * [backup-simplify]: Simplify (+ 0 -1) into -1 9.216 * [backup-simplify]: Simplify (* 1 -1) into -1 9.216 * [backup-simplify]: Simplify (/ (* -1/2 (* a PI)) -1) into (* 1/2 (* a PI)) 9.216 * [backup-simplify]: Simplify (* -1 (* 1/2 (* a PI))) into (* -1/2 (* a PI)) 9.216 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 9.216 * [taylor]: Taking taylor expansion of -1/2 in a 9.216 * [backup-simplify]: Simplify -1/2 into -1/2 9.216 * [taylor]: Taking taylor expansion of (* a PI) in a 9.216 * [taylor]: Taking taylor expansion of a in a 9.216 * [backup-simplify]: Simplify 0 into 0 9.216 * [backup-simplify]: Simplify 1 into 1 9.216 * [taylor]: Taking taylor expansion of PI in a 9.216 * [backup-simplify]: Simplify PI into PI 9.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 9.218 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 9.218 * [backup-simplify]: Simplify (* 0 PI) into 0 9.218 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 9.218 * [backup-simplify]: Simplify 0 into 0 9.219 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 a)) into 0 9.219 * [backup-simplify]: Simplify (- 0) into 0 9.220 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.220 * [backup-simplify]: Simplify (+ (* (- (* 1/2 a)) 0) (* 1/2 PI)) into (* 1/2 PI) 9.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.221 * [backup-simplify]: Simplify (- 0) into 0 9.221 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 9.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.221 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 9.221 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (/ 1 a) -1)) into 0 9.222 * [backup-simplify]: Simplify (- (/ (* 1/2 PI) -1) (+ (* (* 1/2 (* a PI)) (/ 0 -1)))) into (- (* 1/2 PI)) 9.224 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 PI))) (* 0 (* 1/2 (* a PI)))) into (* 1/2 PI) 9.224 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 9.224 * [taylor]: Taking taylor expansion of 1/2 in a 9.224 * [backup-simplify]: Simplify 1/2 into 1/2 9.224 * [taylor]: Taking taylor expansion of PI in a 9.224 * [backup-simplify]: Simplify PI into PI 9.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 9.225 * [backup-simplify]: Simplify 0 into 0 9.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 9.226 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 9.226 * [backup-simplify]: Simplify 0 into 0 9.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 a))) into 0 9.228 * [backup-simplify]: Simplify (- 0) into 0 9.228 * [backup-simplify]: Simplify (+ 0 0) into 0 9.229 * [backup-simplify]: Simplify (+ (* (- (* 1/2 a)) 0) (+ (* 1/2 0) (* 0 PI))) into 0 9.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.230 * [backup-simplify]: Simplify (- 0) into 0 9.230 * [backup-simplify]: Simplify (+ 0 0) into 0 9.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 9.232 * [backup-simplify]: Simplify (+ 0 0) into 0 9.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 -1))) into (/ 1 (pow a 2)) 9.235 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1/2 (* a PI)) (/ (/ 1 (pow a 2)) -1)) (* (- (* 1/2 PI)) (/ 0 -1)))) into (* 1/2 (/ PI a)) 9.236 * [backup-simplify]: Simplify (+ (* -1 (* 1/2 (/ PI a))) (+ (* 0 (- (* 1/2 PI))) (* 0 (* 1/2 (* a PI))))) into (- (* 1/2 (/ PI a))) 9.236 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 9.236 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 9.236 * [taylor]: Taking taylor expansion of 1/2 in a 9.236 * [backup-simplify]: Simplify 1/2 into 1/2 9.236 * [taylor]: Taking taylor expansion of (/ PI a) in a 9.236 * [taylor]: Taking taylor expansion of PI in a 9.236 * [backup-simplify]: Simplify PI into PI 9.236 * [taylor]: Taking taylor expansion of a in a 9.236 * [backup-simplify]: Simplify 0 into 0 9.236 * [backup-simplify]: Simplify 1 into 1 9.236 * [backup-simplify]: Simplify (/ PI 1) into PI 9.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 9.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.239 * [backup-simplify]: Simplify (- 0) into 0 9.240 * [backup-simplify]: Simplify 0 into 0 9.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 9.240 * [backup-simplify]: Simplify 0 into 0 9.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 9.242 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 9.242 * [backup-simplify]: Simplify (- (/ 1/2 a) (/ 1/2 b)) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) 9.242 * [approximate]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in (a b) around 0 9.242 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in b 9.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in b 9.242 * [taylor]: Taking taylor expansion of 1/2 in b 9.242 * [backup-simplify]: Simplify 1/2 into 1/2 9.242 * [taylor]: Taking taylor expansion of (/ 1 a) in b 9.242 * [taylor]: Taking taylor expansion of a in b 9.242 * [backup-simplify]: Simplify a into a 9.242 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 9.242 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 9.242 * [taylor]: Taking taylor expansion of 1/2 in b 9.242 * [backup-simplify]: Simplify 1/2 into 1/2 9.242 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.242 * [taylor]: Taking taylor expansion of b in b 9.242 * [backup-simplify]: Simplify 0 into 0 9.242 * [backup-simplify]: Simplify 1 into 1 9.243 * [backup-simplify]: Simplify (/ 1 1) into 1 9.243 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 9.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 9.243 * [taylor]: Taking taylor expansion of 1/2 in a 9.243 * [backup-simplify]: Simplify 1/2 into 1/2 9.243 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.243 * [taylor]: Taking taylor expansion of a in a 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 1 into 1 9.243 * [backup-simplify]: Simplify (/ 1 1) into 1 9.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 9.243 * [taylor]: Taking taylor expansion of 1/2 in a 9.243 * [backup-simplify]: Simplify 1/2 into 1/2 9.243 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.243 * [taylor]: Taking taylor expansion of b in a 9.243 * [backup-simplify]: Simplify b into b 9.243 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.243 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) in a 9.243 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 a)) in a 9.243 * [taylor]: Taking taylor expansion of 1/2 in a 9.243 * [backup-simplify]: Simplify 1/2 into 1/2 9.243 * [taylor]: Taking taylor expansion of (/ 1 a) in a 9.243 * [taylor]: Taking taylor expansion of a in a 9.243 * [backup-simplify]: Simplify 0 into 0 9.243 * [backup-simplify]: Simplify 1 into 1 9.244 * [backup-simplify]: Simplify (/ 1 1) into 1 9.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in a 9.244 * [taylor]: Taking taylor expansion of 1/2 in a 9.244 * [backup-simplify]: Simplify 1/2 into 1/2 9.244 * [taylor]: Taking taylor expansion of (/ 1 b) in a 9.244 * [taylor]: Taking taylor expansion of b in a 9.244 * [backup-simplify]: Simplify b into b 9.244 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 9.244 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.244 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.244 * [taylor]: Taking taylor expansion of 1/2 in b 9.244 * [backup-simplify]: Simplify 1/2 into 1/2 9.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.245 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.245 * [backup-simplify]: Simplify (* 1/2 (/ 1 b)) into (/ 1/2 b) 9.245 * [backup-simplify]: Simplify (- (/ 1/2 b)) into (- (* 1/2 (/ 1 b))) 9.245 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (/ 1 b)))) into (- (* 1/2 (/ 1 b))) 9.245 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 b))) in b 9.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 9.245 * [taylor]: Taking taylor expansion of 1/2 in b 9.245 * [backup-simplify]: Simplify 1/2 into 1/2 9.245 * [taylor]: Taking taylor expansion of (/ 1 b) in b 9.245 * [taylor]: Taking taylor expansion of b in b 9.245 * [backup-simplify]: Simplify 0 into 0 9.245 * [backup-simplify]: Simplify 1 into 1 9.246 * [backup-simplify]: Simplify (/ 1 1) into 1 9.246 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 9.246 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.246 * [backup-simplify]: Simplify -1/2 into -1/2 9.246 * [backup-simplify]: Simplify 1/2 into 1/2 9.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 9.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 b))) into 0 9.248 * [backup-simplify]: Simplify (- 0) into 0 9.248 * [backup-simplify]: Simplify (+ 0 0) into 0 9.248 * [taylor]: Taking taylor expansion of 0 in b 9.248 * [backup-simplify]: Simplify 0 into 0 9.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 9.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 9.249 * [backup-simplify]: Simplify (- 0) into 0 9.249 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify 0 into 0 9.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 9.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 9.252 * [backup-simplify]: Simplify (- 0) into 0 9.252 * [backup-simplify]: Simplify (+ 0 0) into 0 9.252 * [taylor]: Taking taylor expansion of 0 in b 9.252 * [backup-simplify]: Simplify 0 into 0 9.252 * [backup-simplify]: Simplify 0 into 0 9.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 9.253 * [backup-simplify]: Simplify (- 0) into 0 9.253 * [backup-simplify]: Simplify 0 into 0 9.253 * [backup-simplify]: Simplify 0 into 0 9.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 9.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 9.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 9.256 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 9.256 * [backup-simplify]: Simplify (- 0) into 0 9.256 * [backup-simplify]: Simplify (+ 0 0) into 0 9.256 * [taylor]: Taking taylor expansion of 0 in b 9.256 * [backup-simplify]: Simplify 0 into 0 9.256 * [backup-simplify]: Simplify 0 into 0 9.256 * [backup-simplify]: Simplify (+ (* 1/2 (* 1 (/ 1 a))) (* -1/2 (* (/ 1 b) 1))) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) 9.256 * [backup-simplify]: Simplify (- (/ 1/2 (/ 1 a)) (/ 1/2 (/ 1 b))) into (- (* 1/2 a) (* 1/2 b)) 9.256 * [approximate]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in (a b) around 0 9.256 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in b 9.257 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 9.257 * [taylor]: Taking taylor expansion of 1/2 in b 9.257 * [backup-simplify]: Simplify 1/2 into 1/2 9.257 * [taylor]: Taking taylor expansion of a in b 9.257 * [backup-simplify]: Simplify a into a 9.257 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.257 * [taylor]: Taking taylor expansion of 1/2 in b 9.257 * [backup-simplify]: Simplify 1/2 into 1/2 9.257 * [taylor]: Taking taylor expansion of b in b 9.257 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify 1 into 1 9.257 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 9.257 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 9.257 * [taylor]: Taking taylor expansion of 1/2 in a 9.257 * [backup-simplify]: Simplify 1/2 into 1/2 9.257 * [taylor]: Taking taylor expansion of a in a 9.257 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify 1 into 1 9.257 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 9.257 * [taylor]: Taking taylor expansion of 1/2 in a 9.257 * [backup-simplify]: Simplify 1/2 into 1/2 9.257 * [taylor]: Taking taylor expansion of b in a 9.257 * [backup-simplify]: Simplify b into b 9.257 * [taylor]: Taking taylor expansion of (- (* 1/2 a) (* 1/2 b)) in a 9.257 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 9.257 * [taylor]: Taking taylor expansion of 1/2 in a 9.257 * [backup-simplify]: Simplify 1/2 into 1/2 9.257 * [taylor]: Taking taylor expansion of a in a 9.257 * [backup-simplify]: Simplify 0 into 0 9.257 * [backup-simplify]: Simplify 1 into 1 9.257 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 9.257 * [taylor]: Taking taylor expansion of 1/2 in a 9.257 * [backup-simplify]: Simplify 1/2 into 1/2 9.257 * [taylor]: Taking taylor expansion of b in a 9.257 * [backup-simplify]: Simplify b into b 9.257 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.257 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 9.257 * [backup-simplify]: Simplify (- (* 1/2 b)) into (- (* 1/2 b)) 9.258 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 b))) into (- (* 1/2 b)) 9.258 * [taylor]: Taking taylor expansion of (- (* 1/2 b)) in b 9.258 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.258 * [taylor]: Taking taylor expansion of 1/2 in b 9.258 * [backup-simplify]: Simplify 1/2 into 1/2 9.258 * [taylor]: Taking taylor expansion of b in b 9.258 * [backup-simplify]: Simplify 0 into 0 9.258 * [backup-simplify]: Simplify 1 into 1 9.258 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.258 * [backup-simplify]: Simplify (- 0) into 0 9.258 * [backup-simplify]: Simplify 0 into 0 9.259 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 9.259 * [backup-simplify]: Simplify (- 0) into 0 9.260 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 9.260 * [taylor]: Taking taylor expansion of 1/2 in b 9.260 * [backup-simplify]: Simplify 1/2 into 1/2 9.260 * [backup-simplify]: Simplify 1/2 into 1/2 9.260 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.260 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.260 * [backup-simplify]: Simplify -1/2 into -1/2 9.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 9.266 * [backup-simplify]: Simplify (- 0) into 0 9.267 * [backup-simplify]: Simplify (+ 0 0) into 0 9.267 * [taylor]: Taking taylor expansion of 0 in b 9.267 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify 0 into 0 9.267 * [backup-simplify]: Simplify 0 into 0 9.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.268 * [backup-simplify]: Simplify (- 0) into 0 9.268 * [backup-simplify]: Simplify 0 into 0 9.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.271 * [backup-simplify]: Simplify (- 0) into 0 9.271 * [backup-simplify]: Simplify (+ 0 0) into 0 9.271 * [taylor]: Taking taylor expansion of 0 in b 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify 0 into 0 9.271 * [backup-simplify]: Simplify (+ (* -1/2 (* (/ 1 b) 1)) (* 1/2 (* 1 (/ 1 a)))) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) 9.272 * [backup-simplify]: Simplify (- (/ 1/2 (/ 1 (- a))) (/ 1/2 (/ 1 (- b)))) into (- (* 1/2 b) (* 1/2 a)) 9.272 * [approximate]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in (a b) around 0 9.272 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in b 9.272 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.272 * [taylor]: Taking taylor expansion of 1/2 in b 9.272 * [backup-simplify]: Simplify 1/2 into 1/2 9.272 * [taylor]: Taking taylor expansion of b in b 9.272 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify 1 into 1 9.272 * [taylor]: Taking taylor expansion of (* 1/2 a) in b 9.272 * [taylor]: Taking taylor expansion of 1/2 in b 9.272 * [backup-simplify]: Simplify 1/2 into 1/2 9.272 * [taylor]: Taking taylor expansion of a in b 9.272 * [backup-simplify]: Simplify a into a 9.272 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 9.272 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 9.272 * [taylor]: Taking taylor expansion of 1/2 in a 9.272 * [backup-simplify]: Simplify 1/2 into 1/2 9.272 * [taylor]: Taking taylor expansion of b in a 9.272 * [backup-simplify]: Simplify b into b 9.272 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 9.272 * [taylor]: Taking taylor expansion of 1/2 in a 9.272 * [backup-simplify]: Simplify 1/2 into 1/2 9.272 * [taylor]: Taking taylor expansion of a in a 9.272 * [backup-simplify]: Simplify 0 into 0 9.272 * [backup-simplify]: Simplify 1 into 1 9.272 * [taylor]: Taking taylor expansion of (- (* 1/2 b) (* 1/2 a)) in a 9.272 * [taylor]: Taking taylor expansion of (* 1/2 b) in a 9.272 * [taylor]: Taking taylor expansion of 1/2 in a 9.272 * [backup-simplify]: Simplify 1/2 into 1/2 9.272 * [taylor]: Taking taylor expansion of b in a 9.272 * [backup-simplify]: Simplify b into b 9.272 * [taylor]: Taking taylor expansion of (* 1/2 a) in a 9.272 * [taylor]: Taking taylor expansion of 1/2 in a 9.272 * [backup-simplify]: Simplify 1/2 into 1/2 9.272 * [taylor]: Taking taylor expansion of a in a 9.273 * [backup-simplify]: Simplify 0 into 0 9.273 * [backup-simplify]: Simplify 1 into 1 9.273 * [backup-simplify]: Simplify (* 1/2 b) into (* 1/2 b) 9.273 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.274 * [backup-simplify]: Simplify (- 0) into 0 9.274 * [backup-simplify]: Simplify (+ (* 1/2 b) 0) into (* 1/2 b) 9.274 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 9.274 * [taylor]: Taking taylor expansion of 1/2 in b 9.274 * [backup-simplify]: Simplify 1/2 into 1/2 9.274 * [taylor]: Taking taylor expansion of b in b 9.274 * [backup-simplify]: Simplify 0 into 0 9.274 * [backup-simplify]: Simplify 1 into 1 9.274 * [backup-simplify]: Simplify (* 1/2 0) into 0 9.274 * [backup-simplify]: Simplify 0 into 0 9.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 b)) into 0 9.275 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.276 * [backup-simplify]: Simplify (- 1/2) into -1/2 9.276 * [backup-simplify]: Simplify (+ 0 -1/2) into -1/2 9.276 * [taylor]: Taking taylor expansion of -1/2 in b 9.276 * [backup-simplify]: Simplify -1/2 into -1/2 9.276 * [backup-simplify]: Simplify -1/2 into -1/2 9.277 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 9.277 * [backup-simplify]: Simplify 1/2 into 1/2 9.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 b))) into 0 9.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.279 * [backup-simplify]: Simplify (- 0) into 0 9.280 * [backup-simplify]: Simplify (+ 0 0) into 0 9.280 * [taylor]: Taking taylor expansion of 0 in b 9.280 * [backup-simplify]: Simplify 0 into 0 9.280 * [backup-simplify]: Simplify 0 into 0 9.280 * [backup-simplify]: Simplify 0 into 0 9.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 9.281 * [backup-simplify]: Simplify 0 into 0 9.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 9.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 9.284 * [backup-simplify]: Simplify (- 0) into 0 9.284 * [backup-simplify]: Simplify (+ 0 0) into 0 9.284 * [taylor]: Taking taylor expansion of 0 in b 9.284 * [backup-simplify]: Simplify 0 into 0 9.284 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify 0 into 0 9.285 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- b)) 1)) (* -1/2 (* 1 (/ 1 (- a))))) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) 9.285 * * * [progress]: simplifying candidates 9.285 * * * * [progress]: [ 1 / 274 ] simplifiying candidate # 9.285 * * * * [progress]: [ 2 / 274 ] simplifiying candidate # 9.285 * * * * [progress]: [ 3 / 274 ] simplifiying candidate # 9.285 * * * * [progress]: [ 4 / 274 ] simplifiying candidate # 9.285 * * * * [progress]: [ 5 / 274 ] simplifiying candidate # 9.285 * * * * [progress]: [ 6 / 274 ] simplifiying candidate # 9.285 * * * * [progress]: [ 7 / 274 ] simplifiying candidate # 9.285 * * * * [progress]: [ 8 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 9 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 10 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 11 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 12 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 13 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 14 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 15 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 16 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 17 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 18 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 19 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 20 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 21 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 22 / 274 ] simplifiying candidate # 9.286 * * * * [progress]: [ 23 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 24 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 25 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 26 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 27 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 28 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 29 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 30 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 31 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 32 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 33 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 34 / 274 ] simplifiying candidate #real (real->posit16 (/ PI (+ b a)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))))> 9.287 * * * * [progress]: [ 35 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 36 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 37 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 38 / 274 ] simplifiying candidate # 9.287 * * * * [progress]: [ 39 / 274 ] simplifiying candidate # 9.288 * * * * [progress]: [ 40 / 274 ] simplifiying candidate # 9.288 * * * * [progress]: [ 41 / 274 ] simplifiying candidate # 9.288 * * * * [progress]: [ 42 / 274 ] simplifiying candidate # 9.288 * * * * [progress]: [ 43 / 274 ] simplifiying candidate # 9.288 * * * * [progress]: [ 44 / 274 ] simplifiying candidate # 9.288 * * * * [progress]: [ 45 / 274 ] simplifiying candidate # 9.288 * * * * [progress]: [ 46 / 274 ] simplifiying 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* [simplify]: Simplifying: (- (log PI) (log (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (/ (* (* PI PI) PI) (* (* (+ b a) (+ b a)) (+ b a))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (- PI) (- (+ b a)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ b a))) (/ (cbrt PI) (sqrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ b a)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ b a)) (/ (sqrt PI) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt PI) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ b a)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ b a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ PI (sqrt (+ b a))) (/ 1 1) (/ PI (+ b a)) (/ 1 1) (/ PI (+ b a)) (/ 1 (+ b a)) (/ (+ b a) PI) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (sqrt (+ b a))) (/ PI 1) (/ PI 1) (/ (+ b a) (cbrt PI)) (/ (+ b a) (sqrt PI)) (/ (+ b a) PI) (/ PI (+ (pow b 3) (pow a 3))) (/ PI (- (* b b) (* a a))) (real->posit16 (/ PI (+ b a))) (- (log (- (/ 1/2 a) (/ 1/2 b))) (log (- b a))) (log (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (exp (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (/ (* (* (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b))) (- (/ 1/2 a) (/ 1/2 b))) (* (* (- b a) (- b a)) (- b a))) (* (cbrt (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (cbrt (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)))) (cbrt (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (* (* (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (sqrt (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (sqrt (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a))) (- (- (/ 1/2 a) (/ 1/2 b))) (- (- b a)) (/ (/ 1/2 a) (- b a)) (/ (/ 1/2 b) (- b a)) (/ (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))) (/ (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) (sqrt (- b a))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) (/ (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) 1) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (- b a)) (/ (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) (+ (sqrt b) (sqrt a))) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (- (sqrt b) (sqrt a))) (/ (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) 1) (/ (cbrt (- (/ 1/2 a) (/ 1/2 b))) (- b a)) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- b a))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- b a))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) 1) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (- b a)) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (+ (sqrt b) (sqrt a))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (- (sqrt b) (sqrt a))) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) 1) (/ (sqrt (- (/ 1/2 a) (/ 1/2 b))) (- b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ (- (/ 1/2 a) (/ 1/2 b)) (sqrt (- b a))) (/ 1 1) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (/ 1 (+ (sqrt b) (sqrt a))) (/ (- (/ 1/2 a) (/ 1/2 b)) (- (sqrt b) (sqrt a))) (/ 1 1) (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (cbrt (- b a))) (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (sqrt (- b a))) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (sqrt (- b a))) (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) 1) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (- b a)) (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (+ (sqrt b) (sqrt a))) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (- (sqrt b) (sqrt a))) (/ (+ (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) 1) (/ (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (- b a)) (/ (+ (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (cbrt (- b a))) (/ (+ (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (sqrt (- b a))) (/ (- (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (sqrt (- b a))) (/ (+ (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) 1) (/ (- (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (- b a)) (/ (+ (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (+ (sqrt b) (sqrt a))) (/ (- (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (- (sqrt b) (sqrt a))) (/ (+ (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) 1) (/ (- (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (- b a)) (/ (+ (/ (sqrt 1/2) (sqrt a)) (sqrt (/ 1/2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ (sqrt 1/2) (sqrt a)) (sqrt (/ 1/2 b))) (cbrt (- b a))) (/ (+ (/ (sqrt 1/2) (sqrt a)) (sqrt (/ 1/2 b))) (sqrt (- b a))) (/ (- (/ (sqrt 1/2) (sqrt a)) (sqrt (/ 1/2 b))) (sqrt (- b a))) (/ (+ (/ (sqrt 1/2) (sqrt a)) (sqrt (/ 1/2 b))) 1) (/ (- (/ (sqrt 1/2) (sqrt a)) (sqrt (/ 1/2 b))) (- b a)) (/ (+ (/ (sqrt 1/2) (sqrt a)) (sqrt (/ 1/2 b))) (+ 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(cbrt 1/2) b)) (cbrt (- b a))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (sqrt (- b a))) (/ (- (/ (cbrt 1/2) a) (/ (cbrt 1/2) b)) (sqrt (- b a))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (/ (- (/ (cbrt 1/2) a) (/ (cbrt 1/2) b)) (- b a)) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) (+ (sqrt b) (sqrt a))) (/ (- (/ (cbrt 1/2) a) (/ (cbrt 1/2) b)) (- (sqrt b) (sqrt a))) (/ (/ (* (cbrt 1/2) (cbrt 1/2)) 1) 1) (/ (- (/ (cbrt 1/2) a) (/ (cbrt 1/2) b)) (- b a)) (/ (/ (sqrt 1/2) 1) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ (sqrt 1/2) a) (/ (sqrt 1/2) b)) (cbrt (- b a))) (/ (/ (sqrt 1/2) 1) (sqrt (- b a))) (/ (- (/ (sqrt 1/2) a) (/ (sqrt 1/2) b)) (sqrt (- b a))) (/ (/ (sqrt 1/2) 1) 1) (/ (- (/ (sqrt 1/2) a) (/ (sqrt 1/2) b)) (- b a)) (/ (/ (sqrt 1/2) 1) (+ (sqrt b) (sqrt a))) (/ (- (/ (sqrt 1/2) a) (/ (sqrt 1/2) b)) (- (sqrt b) (sqrt a))) (/ (/ (sqrt 1/2) 1) 1) (/ (- (/ (sqrt 1/2) a) (/ (sqrt 1/2) b)) (- b a)) (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (- (/ 1/2 a) (/ 1/2 b)) (cbrt (- b a))) (/ (/ 1 1) (sqrt 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b)))) (/ (* PI (- (/ 1/2 a) (/ 1/2 b))) (+ a b)) (/ PI (/ (- b a) (- (/ 1/2 a) (/ 1/2 b)))) (real->posit16 (* (/ (- (/ 1/2 a) (/ 1/2 b)) (- b a)) (/ PI (+ a b)))) (exp (- (/ 1/2 a) (/ 1/2 b))) (log (- (/ 1/2 a) (/ 1/2 b))) (exp (- (/ 1/2 a) (/ 1/2 b))) (* (cbrt (- (/ 1/2 a) (/ 1/2 b))) (cbrt (- (/ 1/2 a) (/ 1/2 b)))) (cbrt (- (/ 1/2 a) (/ 1/2 b))) (* (- (/ 1/2 a) (/ 1/2 b)) (* (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b)))) (sqrt (- (/ 1/2 a) (/ 1/2 b))) (sqrt (- (/ 1/2 a) (/ 1/2 b))) (- (* b 1/2) (* a 1/2)) (* b a) (- (* (* (/ 1/2 a) (/ 1/2 a)) (/ 1/2 a)) (* (/ 1/2 b) (* (/ 1/2 b) (/ 1/2 b)))) (+ (* (/ 1/2 b) (+ (/ 1/2 b) (/ 1/2 a))) (* (/ 1/2 a) (/ 1/2 a))) (/ -1/2 b) (* (+ (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b))) (+ (/ 1/2 a) (/ 1/2 b)) (+ (sqrt (/ 1/2 b)) (sqrt (/ 1/2 a))) (- (sqrt (/ 1/2 a)) (sqrt (/ 1/2 b))) (+ (/ (sqrt 1/2) (sqrt b)) (sqrt (/ 1/2 a))) (- (sqrt (/ 1/2 a)) (/ (sqrt 1/2) (sqrt b))) (+ (sqrt (/ 1/2 b)) (/ (sqrt 1/2) (sqrt a))) (- (/ (sqrt 1/2) (sqrt a)) (sqrt (/ 1/2 b))) (+ (/ (sqrt 1/2) (sqrt b)) (/ (sqrt 1/2) (sqrt a))) (- (/ (sqrt 1/2) (sqrt a)) (/ (sqrt 1/2) (sqrt b))) (- (/ (cbrt 1/2) a) (/ (cbrt 1/2) b)) (- (/ (sqrt 1/2) a) (/ (sqrt 1/2) b)) (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1 a) (/ 1 b)) (/ -1/2 b) (real->posit16 (- (/ 1/2 a) (/ 1/2 b))) 0 0 0 (/ (/ 1/2 a) b) (/ (/ 1/2 a) b) (/ (/ 1/2 a) b) 0 0 0 (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b)) (- (/ 1/2 a) (/ 1/2 b)) 11.978 * * * [progress]: adding candidates to table 13.163 * * [progress]: iteration 3 / 4 13.163 * * * [progress]: picking best candidate 13.194 * * * * [pick]: Picked # 13.194 * * * [progress]: localizing error 13.223 * * * [progress]: generating rewritten candidates 13.223 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 13.235 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 13.250 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 13.314 * * * [progress]: generating series expansions 13.314 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 13.314 * [backup-simplify]: Simplify (/ 1/2 (* a b)) into (/ 1/2 (* a b)) 13.314 * [approximate]: Taking taylor expansion of (/ 1/2 (* a b)) in (a b) around 0 13.314 * [taylor]: Taking taylor expansion of (/ 1/2 (* a b)) in b 13.314 * [taylor]: Taking taylor expansion of 1/2 in b 13.314 * [backup-simplify]: Simplify 1/2 into 1/2 13.314 * [taylor]: Taking taylor expansion of (* a b) in b 13.314 * [taylor]: Taking taylor expansion of a in b 13.314 * [backup-simplify]: Simplify a into a 13.314 * [taylor]: Taking taylor expansion of b in b 13.314 * [backup-simplify]: Simplify 0 into 0 13.314 * [backup-simplify]: Simplify 1 into 1 13.314 * [backup-simplify]: Simplify (* a 0) into 0 13.315 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 13.315 * [backup-simplify]: Simplify (/ 1/2 a) into (/ 1/2 a) 13.315 * [taylor]: Taking taylor expansion of (/ 1/2 (* a b)) in a 13.315 * [taylor]: Taking taylor expansion of 1/2 in a 13.315 * [backup-simplify]: Simplify 1/2 into 1/2 13.315 * [taylor]: Taking taylor expansion of (* a b) in a 13.315 * [taylor]: Taking taylor expansion of a in a 13.315 * [backup-simplify]: Simplify 0 into 0 13.315 * [backup-simplify]: Simplify 1 into 1 13.315 * [taylor]: Taking taylor expansion of b in a 13.316 * [backup-simplify]: Simplify b into b 13.316 * [backup-simplify]: Simplify (* 0 b) into 0 13.316 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 13.316 * [backup-simplify]: Simplify (/ 1/2 b) into (/ 1/2 b) 13.316 * [taylor]: Taking taylor expansion of (/ 1/2 (* a b)) in a 13.316 * [taylor]: Taking taylor expansion of 1/2 in a 13.316 * [backup-simplify]: Simplify 1/2 into 1/2 13.316 * [taylor]: Taking taylor expansion of (* a b) in a 13.316 * [taylor]: Taking taylor expansion of a in a 13.316 * [backup-simplify]: Simplify 0 into 0 13.316 * [backup-simplify]: Simplify 1 into 1 13.316 * [taylor]: Taking taylor expansion of b in a 13.316 * [backup-simplify]: Simplify b into b 13.316 * [backup-simplify]: Simplify (* 0 b) into 0 13.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 13.317 * [backup-simplify]: Simplify (/ 1/2 b) into (/ 1/2 b) 13.317 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 13.317 * [taylor]: Taking taylor expansion of 1/2 in b 13.317 * [backup-simplify]: Simplify 1/2 into 1/2 13.317 * [taylor]: Taking taylor expansion of b in b 13.317 * [backup-simplify]: Simplify 0 into 0 13.317 * [backup-simplify]: Simplify 1 into 1 13.318 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 13.318 * [backup-simplify]: Simplify 1/2 into 1/2 13.319 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 13.319 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)))) into 0 13.319 * [taylor]: Taking taylor expansion of 0 in b 13.319 * [backup-simplify]: Simplify 0 into 0 13.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 13.320 * [backup-simplify]: Simplify 0 into 0 13.321 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 13.321 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 13.321 * [taylor]: Taking taylor expansion of 0 in b 13.321 * [backup-simplify]: Simplify 0 into 0 13.321 * [backup-simplify]: Simplify 0 into 0 13.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.323 * [backup-simplify]: Simplify 0 into 0 13.324 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 13.325 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 13.325 * [taylor]: Taking taylor expansion of 0 in b 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [backup-simplify]: Simplify 0 into 0 13.325 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.326 * [backup-simplify]: Simplify 0 into 0 13.326 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) 13.326 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 a) (/ 1 b))) into (* 1/2 (* a b)) 13.326 * [approximate]: Taking taylor expansion of (* 1/2 (* a b)) in (a b) around 0 13.326 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in b 13.326 * [taylor]: Taking taylor expansion of 1/2 in b 13.326 * [backup-simplify]: Simplify 1/2 into 1/2 13.326 * [taylor]: Taking taylor expansion of (* a b) in b 13.326 * [taylor]: Taking taylor expansion of a in b 13.326 * [backup-simplify]: Simplify a into a 13.326 * [taylor]: Taking taylor expansion of b in b 13.327 * [backup-simplify]: Simplify 0 into 0 13.327 * [backup-simplify]: Simplify 1 into 1 13.327 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in a 13.327 * [taylor]: Taking taylor expansion of 1/2 in a 13.327 * [backup-simplify]: Simplify 1/2 into 1/2 13.327 * [taylor]: Taking taylor expansion of (* a b) in a 13.327 * [taylor]: Taking taylor expansion of a in a 13.327 * [backup-simplify]: Simplify 0 into 0 13.327 * [backup-simplify]: Simplify 1 into 1 13.327 * [taylor]: Taking taylor expansion of b in a 13.327 * [backup-simplify]: Simplify b into b 13.327 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in a 13.327 * [taylor]: Taking taylor expansion of 1/2 in a 13.327 * [backup-simplify]: Simplify 1/2 into 1/2 13.327 * [taylor]: Taking taylor expansion of (* a b) in a 13.327 * [taylor]: Taking taylor expansion of a in a 13.327 * [backup-simplify]: Simplify 0 into 0 13.327 * [backup-simplify]: Simplify 1 into 1 13.327 * [taylor]: Taking taylor expansion of b in a 13.327 * [backup-simplify]: Simplify b into b 13.327 * [backup-simplify]: Simplify (* 0 b) into 0 13.328 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.328 * [taylor]: Taking taylor expansion of 0 in b 13.328 * [backup-simplify]: Simplify 0 into 0 13.328 * [backup-simplify]: Simplify 0 into 0 13.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 13.329 * [backup-simplify]: Simplify (+ (* 1/2 b) (* 0 0)) into (* 1/2 b) 13.329 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 13.329 * [taylor]: Taking taylor expansion of 1/2 in b 13.329 * [backup-simplify]: Simplify 1/2 into 1/2 13.329 * [taylor]: Taking taylor expansion of b in b 13.329 * [backup-simplify]: Simplify 0 into 0 13.329 * [backup-simplify]: Simplify 1 into 1 13.329 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.329 * [backup-simplify]: Simplify 0 into 0 13.329 * [backup-simplify]: Simplify 0 into 0 13.330 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 13.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 b) (* 0 0))) into 0 13.331 * [taylor]: Taking taylor expansion of 0 in b 13.331 * [backup-simplify]: Simplify 0 into 0 13.331 * [backup-simplify]: Simplify 0 into 0 13.332 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.332 * [backup-simplify]: Simplify 1/2 into 1/2 13.332 * [backup-simplify]: Simplify 0 into 0 13.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 13.335 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 13.335 * [taylor]: Taking taylor expansion of 0 in b 13.335 * [backup-simplify]: Simplify 0 into 0 13.335 * [backup-simplify]: Simplify 0 into 0 13.335 * [backup-simplify]: Simplify 0 into 0 13.336 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.336 * [backup-simplify]: Simplify 0 into 0 13.336 * [backup-simplify]: Simplify 0 into 0 13.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 13.339 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 b) (* 0 0))))) into 0 13.339 * [taylor]: Taking taylor expansion of 0 in b 13.339 * [backup-simplify]: Simplify 0 into 0 13.339 * [backup-simplify]: Simplify 0 into 0 13.339 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) 13.340 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- a)) (/ 1 (- b)))) into (* 1/2 (* a b)) 13.340 * [approximate]: Taking taylor expansion of (* 1/2 (* a b)) in (a b) around 0 13.340 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in b 13.340 * [taylor]: Taking taylor expansion of 1/2 in b 13.340 * [backup-simplify]: Simplify 1/2 into 1/2 13.340 * [taylor]: Taking taylor expansion of (* a b) in b 13.340 * [taylor]: Taking taylor expansion of a in b 13.340 * [backup-simplify]: Simplify a into a 13.340 * [taylor]: Taking taylor expansion of b in b 13.340 * [backup-simplify]: Simplify 0 into 0 13.340 * [backup-simplify]: Simplify 1 into 1 13.340 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in a 13.340 * [taylor]: Taking taylor expansion of 1/2 in a 13.340 * [backup-simplify]: Simplify 1/2 into 1/2 13.340 * [taylor]: Taking taylor expansion of (* a b) in a 13.340 * [taylor]: Taking taylor expansion of a in a 13.340 * [backup-simplify]: Simplify 0 into 0 13.340 * [backup-simplify]: Simplify 1 into 1 13.340 * [taylor]: Taking taylor expansion of b in a 13.340 * [backup-simplify]: Simplify b into b 13.340 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in a 13.340 * [taylor]: Taking taylor expansion of 1/2 in a 13.340 * [backup-simplify]: Simplify 1/2 into 1/2 13.340 * [taylor]: Taking taylor expansion of (* a b) in a 13.340 * [taylor]: Taking taylor expansion of a in a 13.340 * [backup-simplify]: Simplify 0 into 0 13.340 * [backup-simplify]: Simplify 1 into 1 13.340 * [taylor]: Taking taylor expansion of b in a 13.340 * [backup-simplify]: Simplify b into b 13.341 * [backup-simplify]: Simplify (* 0 b) into 0 13.341 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.341 * [taylor]: Taking taylor expansion of 0 in b 13.341 * [backup-simplify]: Simplify 0 into 0 13.341 * [backup-simplify]: Simplify 0 into 0 13.342 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 13.342 * [backup-simplify]: Simplify (+ (* 1/2 b) (* 0 0)) into (* 1/2 b) 13.342 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 13.342 * [taylor]: Taking taylor expansion of 1/2 in b 13.342 * [backup-simplify]: Simplify 1/2 into 1/2 13.342 * [taylor]: Taking taylor expansion of b in b 13.342 * [backup-simplify]: Simplify 0 into 0 13.342 * [backup-simplify]: Simplify 1 into 1 13.343 * [backup-simplify]: Simplify (* 1/2 0) into 0 13.343 * [backup-simplify]: Simplify 0 into 0 13.343 * [backup-simplify]: Simplify 0 into 0 13.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 13.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 b) (* 0 0))) into 0 13.344 * [taylor]: Taking taylor expansion of 0 in b 13.344 * [backup-simplify]: Simplify 0 into 0 13.344 * [backup-simplify]: Simplify 0 into 0 13.345 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 13.345 * [backup-simplify]: Simplify 1/2 into 1/2 13.345 * [backup-simplify]: Simplify 0 into 0 13.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 13.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 13.348 * [taylor]: Taking taylor expansion of 0 in b 13.348 * [backup-simplify]: Simplify 0 into 0 13.348 * [backup-simplify]: Simplify 0 into 0 13.348 * [backup-simplify]: Simplify 0 into 0 13.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 13.349 * [backup-simplify]: Simplify 0 into 0 13.349 * [backup-simplify]: Simplify 0 into 0 13.351 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 13.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 b) (* 0 0))))) into 0 13.352 * [taylor]: Taking taylor expansion of 0 in b 13.352 * [backup-simplify]: Simplify 0 into 0 13.352 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1/2 (* a b)) 13.353 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 13.353 * [backup-simplify]: Simplify (/ PI (+ b a)) into (/ PI (+ a b)) 13.353 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (b a) around 0 13.353 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 13.353 * [taylor]: Taking taylor expansion of PI in a 13.353 * [backup-simplify]: Simplify PI into PI 13.353 * [taylor]: Taking taylor expansion of (+ a b) in a 13.353 * [taylor]: Taking taylor expansion of a in a 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify 1 into 1 13.353 * [taylor]: Taking taylor expansion of b in a 13.353 * [backup-simplify]: Simplify b into b 13.353 * [backup-simplify]: Simplify (+ 0 b) into b 13.353 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 13.353 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 13.353 * [taylor]: Taking taylor expansion of PI in b 13.353 * [backup-simplify]: Simplify PI into PI 13.353 * [taylor]: Taking taylor expansion of (+ a b) in b 13.353 * [taylor]: Taking taylor expansion of a in b 13.353 * [backup-simplify]: Simplify a into a 13.353 * [taylor]: Taking taylor expansion of b in b 13.353 * [backup-simplify]: Simplify 0 into 0 13.353 * [backup-simplify]: Simplify 1 into 1 13.353 * [backup-simplify]: Simplify (+ a 0) into a 13.354 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 13.354 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 13.354 * [taylor]: Taking taylor expansion of PI in b 13.354 * [backup-simplify]: Simplify PI into PI 13.354 * [taylor]: Taking taylor expansion of (+ a b) in b 13.354 * [taylor]: Taking taylor expansion of a in b 13.354 * [backup-simplify]: Simplify a into a 13.354 * [taylor]: Taking taylor expansion of b in b 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [backup-simplify]: Simplify 1 into 1 13.354 * [backup-simplify]: Simplify (+ a 0) into a 13.354 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 13.354 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.354 * [taylor]: Taking taylor expansion of PI in a 13.354 * [backup-simplify]: Simplify PI into PI 13.354 * [taylor]: Taking taylor expansion of a in a 13.354 * [backup-simplify]: Simplify 0 into 0 13.354 * [backup-simplify]: Simplify 1 into 1 13.355 * [backup-simplify]: Simplify (/ PI 1) into PI 13.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.356 * [backup-simplify]: Simplify 0 into 0 13.356 * [backup-simplify]: Simplify (+ 0 1) into 1 13.356 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 13.356 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 2))) in a 13.356 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.356 * [taylor]: Taking taylor expansion of PI in a 13.356 * [backup-simplify]: Simplify PI into PI 13.357 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.357 * [taylor]: Taking taylor expansion of a in a 13.357 * [backup-simplify]: Simplify 0 into 0 13.357 * [backup-simplify]: Simplify 1 into 1 13.357 * [backup-simplify]: Simplify (* 1 1) into 1 13.357 * [backup-simplify]: Simplify (/ PI 1) into PI 13.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.360 * [backup-simplify]: Simplify (- 0) into 0 13.360 * [backup-simplify]: Simplify 0 into 0 13.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.360 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify (+ 0 0) into 0 13.361 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 13.361 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 13.361 * [taylor]: Taking taylor expansion of PI in a 13.361 * [backup-simplify]: Simplify PI into PI 13.361 * [taylor]: Taking taylor expansion of (pow a 3) in a 13.361 * [taylor]: Taking taylor expansion of a in a 13.361 * [backup-simplify]: Simplify 0 into 0 13.361 * [backup-simplify]: Simplify 1 into 1 13.361 * [backup-simplify]: Simplify (* 1 1) into 1 13.362 * [backup-simplify]: Simplify (* 1 1) into 1 13.362 * [backup-simplify]: Simplify (/ PI 1) into PI 13.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.367 * [backup-simplify]: Simplify 0 into 0 13.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.368 * [backup-simplify]: Simplify (- 0) into 0 13.368 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.369 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify (/ PI (+ (/ 1 b) (/ 1 a))) into (/ PI (+ (/ 1 b) (/ 1 a))) 13.369 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in (b a) around 0 13.369 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a 13.369 * [taylor]: Taking taylor expansion of PI in a 13.369 * [backup-simplify]: Simplify PI into PI 13.369 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 13.369 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.369 * [taylor]: Taking taylor expansion of b in a 13.369 * [backup-simplify]: Simplify b into b 13.369 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.369 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.369 * [taylor]: Taking taylor expansion of a in a 13.369 * [backup-simplify]: Simplify 0 into 0 13.369 * [backup-simplify]: Simplify 1 into 1 13.370 * [backup-simplify]: Simplify (/ 1 1) into 1 13.370 * [backup-simplify]: Simplify (+ 0 1) into 1 13.370 * [backup-simplify]: Simplify (/ PI 1) into PI 13.370 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 13.370 * [taylor]: Taking taylor expansion of PI in b 13.370 * [backup-simplify]: Simplify PI into PI 13.370 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 13.370 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.370 * [taylor]: Taking taylor expansion of b in b 13.370 * [backup-simplify]: Simplify 0 into 0 13.370 * [backup-simplify]: Simplify 1 into 1 13.371 * [backup-simplify]: Simplify (/ 1 1) into 1 13.371 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.371 * [taylor]: Taking taylor expansion of a in b 13.371 * [backup-simplify]: Simplify a into a 13.371 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.371 * [backup-simplify]: Simplify (+ 1 0) into 1 13.371 * [backup-simplify]: Simplify (/ PI 1) into PI 13.371 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 13.371 * [taylor]: Taking taylor expansion of PI in b 13.371 * [backup-simplify]: Simplify PI into PI 13.371 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 13.371 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.371 * [taylor]: Taking taylor expansion of b in b 13.372 * [backup-simplify]: Simplify 0 into 0 13.372 * [backup-simplify]: Simplify 1 into 1 13.372 * [backup-simplify]: Simplify (/ 1 1) into 1 13.372 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.372 * [taylor]: Taking taylor expansion of a in b 13.372 * [backup-simplify]: Simplify a into a 13.372 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.372 * [backup-simplify]: Simplify (+ 1 0) into 1 13.372 * [backup-simplify]: Simplify (/ PI 1) into PI 13.373 * [taylor]: Taking taylor expansion of PI in a 13.373 * [backup-simplify]: Simplify PI into PI 13.373 * [backup-simplify]: Simplify 0 into 0 13.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.373 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 13.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 13.374 * [taylor]: Taking taylor expansion of (- (/ PI a)) in a 13.374 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.374 * [taylor]: Taking taylor expansion of PI in a 13.374 * [backup-simplify]: Simplify PI into PI 13.374 * [taylor]: Taking taylor expansion of a in a 13.374 * [backup-simplify]: Simplify 0 into 0 13.374 * [backup-simplify]: Simplify 1 into 1 13.374 * [backup-simplify]: Simplify (/ PI 1) into PI 13.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.376 * [backup-simplify]: Simplify (- 0) into 0 13.376 * [backup-simplify]: Simplify 0 into 0 13.376 * [backup-simplify]: Simplify 0 into 0 13.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.377 * [backup-simplify]: Simplify (+ 0 0) into 0 13.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 13.378 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.378 * [taylor]: Taking taylor expansion of PI in a 13.378 * [backup-simplify]: Simplify PI into PI 13.378 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.378 * [taylor]: Taking taylor expansion of a in a 13.378 * [backup-simplify]: Simplify 0 into 0 13.378 * [backup-simplify]: Simplify 1 into 1 13.378 * [backup-simplify]: Simplify (* 1 1) into 1 13.378 * [backup-simplify]: Simplify (/ PI 1) into PI 13.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.382 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.383 * [backup-simplify]: Simplify (- 0) into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) 13.383 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 13.383 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in a 13.383 * [taylor]: Taking taylor expansion of -1 in a 13.383 * [backup-simplify]: Simplify -1 into -1 13.383 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a 13.383 * [taylor]: Taking taylor expansion of PI in a 13.383 * [backup-simplify]: Simplify PI into PI 13.383 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 13.383 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.383 * [taylor]: Taking taylor expansion of b in a 13.383 * [backup-simplify]: Simplify b into b 13.383 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.383 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.383 * [taylor]: Taking taylor expansion of a in a 13.383 * [backup-simplify]: Simplify 0 into 0 13.383 * [backup-simplify]: Simplify 1 into 1 13.384 * [backup-simplify]: Simplify (/ 1 1) into 1 13.384 * [backup-simplify]: Simplify (+ 0 1) into 1 13.384 * [backup-simplify]: Simplify (/ PI 1) into PI 13.384 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in b 13.384 * [taylor]: Taking taylor expansion of -1 in b 13.384 * [backup-simplify]: Simplify -1 into -1 13.384 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 13.384 * [taylor]: Taking taylor expansion of PI in b 13.384 * [backup-simplify]: Simplify PI into PI 13.384 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 13.384 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.384 * [taylor]: Taking taylor expansion of b in b 13.385 * [backup-simplify]: Simplify 0 into 0 13.385 * [backup-simplify]: Simplify 1 into 1 13.385 * [backup-simplify]: Simplify (/ 1 1) into 1 13.385 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.385 * [taylor]: Taking taylor expansion of a in b 13.385 * [backup-simplify]: Simplify a into a 13.385 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.385 * [backup-simplify]: Simplify (+ 1 0) into 1 13.386 * [backup-simplify]: Simplify (/ PI 1) into PI 13.386 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in b 13.386 * [taylor]: Taking taylor expansion of -1 in b 13.386 * [backup-simplify]: Simplify -1 into -1 13.386 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 13.386 * [taylor]: Taking taylor expansion of PI in b 13.386 * [backup-simplify]: Simplify PI into PI 13.386 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 13.386 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.386 * [taylor]: Taking taylor expansion of b in b 13.386 * [backup-simplify]: Simplify 0 into 0 13.386 * [backup-simplify]: Simplify 1 into 1 13.386 * [backup-simplify]: Simplify (/ 1 1) into 1 13.386 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.386 * [taylor]: Taking taylor expansion of a in b 13.386 * [backup-simplify]: Simplify a into a 13.386 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.386 * [backup-simplify]: Simplify (+ 1 0) into 1 13.387 * [backup-simplify]: Simplify (/ PI 1) into PI 13.387 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 13.387 * [taylor]: Taking taylor expansion of (* -1 PI) in a 13.387 * [taylor]: Taking taylor expansion of -1 in a 13.387 * [backup-simplify]: Simplify -1 into -1 13.387 * [taylor]: Taking taylor expansion of PI in a 13.387 * [backup-simplify]: Simplify PI into PI 13.388 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 13.388 * [backup-simplify]: Simplify 0 into 0 13.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.388 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 13.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 13.389 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI a))) (* 0 PI)) into (/ PI a) 13.389 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.389 * [taylor]: Taking taylor expansion of PI in a 13.389 * [backup-simplify]: Simplify PI into PI 13.389 * [taylor]: Taking taylor expansion of a in a 13.389 * [backup-simplify]: Simplify 0 into 0 13.389 * [backup-simplify]: Simplify 1 into 1 13.390 * [backup-simplify]: Simplify (/ PI 1) into PI 13.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.391 * [backup-simplify]: Simplify 0 into 0 13.391 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 13.391 * [backup-simplify]: Simplify 0 into 0 13.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.392 * [backup-simplify]: Simplify (+ 0 0) into 0 13.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 13.394 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (/ PI (pow a 2))) 13.394 * [taylor]: Taking taylor expansion of (- (/ PI (pow a 2))) in a 13.394 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.394 * [taylor]: Taking taylor expansion of PI in a 13.394 * [backup-simplify]: Simplify PI into PI 13.394 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.394 * [taylor]: Taking taylor expansion of a in a 13.394 * [backup-simplify]: Simplify 0 into 0 13.394 * [backup-simplify]: Simplify 1 into 1 13.394 * [backup-simplify]: Simplify (* 1 1) into 1 13.395 * [backup-simplify]: Simplify (/ PI 1) into PI 13.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.399 * [backup-simplify]: Simplify (- 0) into 0 13.399 * [backup-simplify]: Simplify 0 into 0 13.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.399 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * [backup-simplify]: Simplify 0 into 0 13.400 * * * * [progress]: [ 3 / 3 ] generating series at (2) 13.401 * [backup-simplify]: Simplify (* (/ PI (+ b a)) (/ 1/2 (* a b))) into (* 1/2 (/ PI (* a (* (+ a b) b)))) 13.401 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in (b a) around 0 13.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 13.401 * [taylor]: Taking taylor expansion of 1/2 in a 13.401 * [backup-simplify]: Simplify 1/2 into 1/2 13.401 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 13.401 * [taylor]: Taking taylor expansion of PI in a 13.401 * [backup-simplify]: Simplify PI into PI 13.401 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 13.401 * [taylor]: Taking taylor expansion of a in a 13.401 * [backup-simplify]: Simplify 0 into 0 13.401 * [backup-simplify]: Simplify 1 into 1 13.401 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 13.401 * [taylor]: Taking taylor expansion of (+ a b) in a 13.401 * [taylor]: Taking taylor expansion of a in a 13.401 * [backup-simplify]: Simplify 0 into 0 13.401 * [backup-simplify]: Simplify 1 into 1 13.401 * [taylor]: Taking taylor expansion of b in a 13.401 * [backup-simplify]: Simplify b into b 13.401 * [taylor]: Taking taylor expansion of b in a 13.401 * [backup-simplify]: Simplify b into b 13.401 * [backup-simplify]: Simplify (+ 0 b) into b 13.401 * [backup-simplify]: Simplify (* b b) into (pow b 2) 13.401 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 13.401 * [backup-simplify]: Simplify (+ 1 0) into 1 13.401 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 13.402 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 13.402 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 13.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in b 13.402 * [taylor]: Taking taylor expansion of 1/2 in b 13.402 * [backup-simplify]: Simplify 1/2 into 1/2 13.402 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 13.402 * [taylor]: Taking taylor expansion of PI in b 13.402 * [backup-simplify]: Simplify PI into PI 13.402 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 13.402 * [taylor]: Taking taylor expansion of a in b 13.402 * [backup-simplify]: Simplify a into a 13.402 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 13.402 * [taylor]: Taking taylor expansion of (+ a b) in b 13.402 * [taylor]: Taking taylor expansion of a in b 13.402 * [backup-simplify]: Simplify a into a 13.402 * [taylor]: Taking taylor expansion of b in b 13.402 * [backup-simplify]: Simplify 0 into 0 13.402 * [backup-simplify]: Simplify 1 into 1 13.402 * [taylor]: Taking taylor expansion of b in b 13.402 * [backup-simplify]: Simplify 0 into 0 13.402 * [backup-simplify]: Simplify 1 into 1 13.402 * [backup-simplify]: Simplify (+ a 0) into a 13.402 * [backup-simplify]: Simplify (* a 0) into 0 13.402 * [backup-simplify]: Simplify (* a 0) into 0 13.402 * [backup-simplify]: Simplify (+ 0 1) into 1 13.407 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 13.408 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 13.408 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 13.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in b 13.408 * [taylor]: Taking taylor expansion of 1/2 in b 13.408 * [backup-simplify]: Simplify 1/2 into 1/2 13.408 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 13.408 * [taylor]: Taking taylor expansion of PI in b 13.408 * [backup-simplify]: Simplify PI into PI 13.408 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 13.408 * [taylor]: Taking taylor expansion of a in b 13.408 * [backup-simplify]: Simplify a into a 13.408 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 13.408 * [taylor]: Taking taylor expansion of (+ a b) in b 13.408 * [taylor]: Taking taylor expansion of a in b 13.408 * [backup-simplify]: Simplify a into a 13.408 * [taylor]: Taking taylor expansion of b in b 13.408 * [backup-simplify]: Simplify 0 into 0 13.408 * [backup-simplify]: Simplify 1 into 1 13.409 * [taylor]: Taking taylor expansion of b in b 13.409 * [backup-simplify]: Simplify 0 into 0 13.409 * [backup-simplify]: Simplify 1 into 1 13.409 * [backup-simplify]: Simplify (+ a 0) into a 13.409 * [backup-simplify]: Simplify (* a 0) into 0 13.409 * [backup-simplify]: Simplify (* a 0) into 0 13.409 * [backup-simplify]: Simplify (+ 0 1) into 1 13.409 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 13.410 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 13.410 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 13.410 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow a 2))) into (* 1/2 (/ PI (pow a 2))) 13.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) in a 13.410 * [taylor]: Taking taylor expansion of 1/2 in a 13.410 * [backup-simplify]: Simplify 1/2 into 1/2 13.410 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.410 * [taylor]: Taking taylor expansion of PI in a 13.410 * [backup-simplify]: Simplify PI into PI 13.410 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.410 * [taylor]: Taking taylor expansion of a in a 13.410 * [backup-simplify]: Simplify 0 into 0 13.410 * [backup-simplify]: Simplify 1 into 1 13.410 * [backup-simplify]: Simplify (* 1 1) into 1 13.411 * [backup-simplify]: Simplify (/ PI 1) into PI 13.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.412 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 13.412 * [backup-simplify]: Simplify 0 into 0 13.413 * [backup-simplify]: Simplify (+ 0 0) into 0 13.413 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 0))) into 1 13.413 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 a) (* 0 0))) into a 13.414 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ a (pow a 2))))) into (- (/ PI (pow a 3))) 13.414 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2)))) into (- (* 1/2 (/ PI (pow a 3)))) 13.414 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a 13.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a 13.414 * [taylor]: Taking taylor expansion of 1/2 in a 13.414 * [backup-simplify]: Simplify 1/2 into 1/2 13.414 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 13.414 * [taylor]: Taking taylor expansion of PI in a 13.414 * [backup-simplify]: Simplify PI into PI 13.414 * [taylor]: Taking taylor expansion of (pow a 3) in a 13.414 * [taylor]: Taking taylor expansion of a in a 13.414 * [backup-simplify]: Simplify 0 into 0 13.414 * [backup-simplify]: Simplify 1 into 1 13.414 * [backup-simplify]: Simplify (* 1 1) into 1 13.414 * [backup-simplify]: Simplify (* 1 1) into 1 13.415 * [backup-simplify]: Simplify (/ PI 1) into PI 13.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 13.419 * [backup-simplify]: Simplify (- 0) into 0 13.419 * [backup-simplify]: Simplify 0 into 0 13.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 13.420 * [backup-simplify]: Simplify 0 into 0 13.421 * [backup-simplify]: Simplify (+ 0 0) into 0 13.421 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.422 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (+ (* 0 a) (* 0 0)))) into 0 13.422 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ 0 (pow a 2))) (* (- (/ PI (pow a 3))) (/ a (pow a 2))))) into (/ PI (pow a 4)) 13.422 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow a 4))) (+ (* 0 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2))))) into (* 1/2 (/ PI (pow a 4))) 13.422 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a 13.422 * [taylor]: Taking taylor expansion of 1/2 in a 13.422 * [backup-simplify]: Simplify 1/2 into 1/2 13.422 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 13.422 * [taylor]: Taking taylor expansion of PI in a 13.422 * [backup-simplify]: Simplify PI into PI 13.422 * [taylor]: Taking taylor expansion of (pow a 4) in a 13.422 * [taylor]: Taking taylor expansion of a in a 13.422 * [backup-simplify]: Simplify 0 into 0 13.422 * [backup-simplify]: Simplify 1 into 1 13.423 * [backup-simplify]: Simplify (* 1 1) into 1 13.423 * [backup-simplify]: Simplify (* 1 1) into 1 13.423 * [backup-simplify]: Simplify (/ PI 1) into PI 13.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.429 * [backup-simplify]: Simplify 0 into 0 13.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.434 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.434 * [backup-simplify]: Simplify (- 0) into 0 13.434 * [backup-simplify]: Simplify 0 into 0 13.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.437 * [backup-simplify]: Simplify 0 into 0 13.437 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 b) (/ 1 a))) (/ 1/2 (* (/ 1 a) (/ 1 b)))) into (* 1/2 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) 13.438 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 13.438 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in a 13.438 * [taylor]: Taking taylor expansion of 1/2 in a 13.438 * [backup-simplify]: Simplify 1/2 into 1/2 13.438 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in a 13.438 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 13.438 * [taylor]: Taking taylor expansion of a in a 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify 1 into 1 13.438 * [taylor]: Taking taylor expansion of (* b PI) in a 13.438 * [taylor]: Taking taylor expansion of b in a 13.438 * [backup-simplify]: Simplify b into b 13.438 * [taylor]: Taking taylor expansion of PI in a 13.438 * [backup-simplify]: Simplify PI into PI 13.438 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 13.438 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.438 * [taylor]: Taking taylor expansion of b in a 13.438 * [backup-simplify]: Simplify b into b 13.438 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.438 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.438 * [taylor]: Taking taylor expansion of a in a 13.438 * [backup-simplify]: Simplify 0 into 0 13.438 * [backup-simplify]: Simplify 1 into 1 13.439 * [backup-simplify]: Simplify (/ 1 1) into 1 13.439 * [backup-simplify]: Simplify (* b PI) into (* PI b) 13.439 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 13.439 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 13.440 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 13.440 * [backup-simplify]: Simplify (+ 0 1) into 1 13.440 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 13.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in b 13.441 * [taylor]: Taking taylor expansion of 1/2 in b 13.441 * [backup-simplify]: Simplify 1/2 into 1/2 13.441 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in b 13.441 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 13.441 * [taylor]: Taking taylor expansion of a in b 13.441 * [backup-simplify]: Simplify a into a 13.441 * [taylor]: Taking taylor expansion of (* b PI) in b 13.441 * [taylor]: Taking taylor expansion of b in b 13.441 * [backup-simplify]: Simplify 0 into 0 13.441 * [backup-simplify]: Simplify 1 into 1 13.441 * [taylor]: Taking taylor expansion of PI in b 13.441 * [backup-simplify]: Simplify PI into PI 13.441 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 13.441 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.441 * [taylor]: Taking taylor expansion of b in b 13.441 * [backup-simplify]: Simplify 0 into 0 13.441 * [backup-simplify]: Simplify 1 into 1 13.441 * [backup-simplify]: Simplify (/ 1 1) into 1 13.441 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.441 * [taylor]: Taking taylor expansion of a in b 13.441 * [backup-simplify]: Simplify a into a 13.441 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.442 * [backup-simplify]: Simplify (* 0 PI) into 0 13.442 * [backup-simplify]: Simplify (* a 0) into 0 13.444 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.444 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 13.444 * [backup-simplify]: Simplify (+ 1 0) into 1 13.444 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 13.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in b 13.445 * [taylor]: Taking taylor expansion of 1/2 in b 13.445 * [backup-simplify]: Simplify 1/2 into 1/2 13.445 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in b 13.445 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 13.445 * [taylor]: Taking taylor expansion of a in b 13.445 * [backup-simplify]: Simplify a into a 13.445 * [taylor]: Taking taylor expansion of (* b PI) in b 13.445 * [taylor]: Taking taylor expansion of b in b 13.445 * [backup-simplify]: Simplify 0 into 0 13.445 * [backup-simplify]: Simplify 1 into 1 13.445 * [taylor]: Taking taylor expansion of PI in b 13.445 * [backup-simplify]: Simplify PI into PI 13.445 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 13.445 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.445 * [taylor]: Taking taylor expansion of b in b 13.445 * [backup-simplify]: Simplify 0 into 0 13.445 * [backup-simplify]: Simplify 1 into 1 13.445 * [backup-simplify]: Simplify (/ 1 1) into 1 13.445 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.445 * [taylor]: Taking taylor expansion of a in b 13.445 * [backup-simplify]: Simplify a into a 13.446 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.446 * [backup-simplify]: Simplify (* 0 PI) into 0 13.446 * [backup-simplify]: Simplify (* a 0) into 0 13.448 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.448 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 13.449 * [backup-simplify]: Simplify (+ 1 0) into 1 13.449 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 13.449 * [backup-simplify]: Simplify (* 1/2 (* a PI)) into (* 1/2 (* a PI)) 13.449 * [taylor]: Taking taylor expansion of (* 1/2 (* a PI)) in a 13.449 * [taylor]: Taking taylor expansion of 1/2 in a 13.449 * [backup-simplify]: Simplify 1/2 into 1/2 13.449 * [taylor]: Taking taylor expansion of (* a PI) in a 13.449 * [taylor]: Taking taylor expansion of a in a 13.449 * [backup-simplify]: Simplify 0 into 0 13.449 * [backup-simplify]: Simplify 1 into 1 13.449 * [taylor]: Taking taylor expansion of PI in a 13.449 * [backup-simplify]: Simplify PI into PI 13.450 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.452 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.452 * [backup-simplify]: Simplify (* 0 PI) into 0 13.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 13.453 * [backup-simplify]: Simplify 0 into 0 13.454 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.455 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 PI) (* 0 0))) into 0 13.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.456 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 13.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 13.458 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* a PI))) into (- (* 1/2 PI)) 13.458 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in a 13.458 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 13.458 * [taylor]: Taking taylor expansion of 1/2 in a 13.458 * [backup-simplify]: Simplify 1/2 into 1/2 13.458 * [taylor]: Taking taylor expansion of PI in a 13.458 * [backup-simplify]: Simplify PI into PI 13.459 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 13.459 * [backup-simplify]: Simplify (- 0) into 0 13.459 * [backup-simplify]: Simplify 0 into 0 13.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.462 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.462 * [backup-simplify]: Simplify 0 into 0 13.463 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.464 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.466 * [backup-simplify]: Simplify (+ 0 0) into 0 13.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 13.468 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (* 1/2 (/ PI a)) 13.468 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 13.468 * [taylor]: Taking taylor expansion of 1/2 in a 13.468 * [backup-simplify]: Simplify 1/2 into 1/2 13.468 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.468 * [taylor]: Taking taylor expansion of PI in a 13.468 * [backup-simplify]: Simplify PI into PI 13.468 * [taylor]: Taking taylor expansion of a in a 13.468 * [backup-simplify]: Simplify 0 into 0 13.468 * [backup-simplify]: Simplify 1 into 1 13.469 * [backup-simplify]: Simplify (/ PI 1) into PI 13.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.474 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.474 * [backup-simplify]: Simplify 0 into 0 13.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.476 * [backup-simplify]: Simplify (- 0) into 0 13.476 * [backup-simplify]: Simplify 0 into 0 13.478 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 13.479 * [backup-simplify]: Simplify 0 into 0 13.480 * [backup-simplify]: Simplify 0 into 0 13.480 * [backup-simplify]: Simplify (* (/ PI (+ (/ 1 (- b)) (/ 1 (- a)))) (/ 1/2 (* (/ 1 (- a)) (/ 1 (- b))))) into (* -1/2 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) 13.480 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 13.480 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in a 13.480 * [taylor]: Taking taylor expansion of -1/2 in a 13.480 * [backup-simplify]: Simplify -1/2 into -1/2 13.480 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in a 13.480 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 13.480 * [taylor]: Taking taylor expansion of a in a 13.480 * [backup-simplify]: Simplify 0 into 0 13.480 * [backup-simplify]: Simplify 1 into 1 13.480 * [taylor]: Taking taylor expansion of (* b PI) in a 13.480 * [taylor]: Taking taylor expansion of b in a 13.480 * [backup-simplify]: Simplify b into b 13.480 * [taylor]: Taking taylor expansion of PI in a 13.480 * [backup-simplify]: Simplify PI into PI 13.481 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 13.481 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.481 * [taylor]: Taking taylor expansion of b in a 13.481 * [backup-simplify]: Simplify b into b 13.481 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.481 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.481 * [taylor]: Taking taylor expansion of a in a 13.481 * [backup-simplify]: Simplify 0 into 0 13.481 * [backup-simplify]: Simplify 1 into 1 13.481 * [backup-simplify]: Simplify (/ 1 1) into 1 13.481 * [backup-simplify]: Simplify (* b PI) into (* PI b) 13.481 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 13.482 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 13.483 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 13.483 * [backup-simplify]: Simplify (+ 0 1) into 1 13.483 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 13.483 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in b 13.483 * [taylor]: Taking taylor expansion of -1/2 in b 13.483 * [backup-simplify]: Simplify -1/2 into -1/2 13.483 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in b 13.483 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 13.483 * [taylor]: Taking taylor expansion of a in b 13.483 * [backup-simplify]: Simplify a into a 13.483 * [taylor]: Taking taylor expansion of (* b PI) in b 13.483 * [taylor]: Taking taylor expansion of b in b 13.483 * [backup-simplify]: Simplify 0 into 0 13.484 * [backup-simplify]: Simplify 1 into 1 13.484 * [taylor]: Taking taylor expansion of PI in b 13.484 * [backup-simplify]: Simplify PI into PI 13.484 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 13.484 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.484 * [taylor]: Taking taylor expansion of b in b 13.484 * [backup-simplify]: Simplify 0 into 0 13.484 * [backup-simplify]: Simplify 1 into 1 13.484 * [backup-simplify]: Simplify (/ 1 1) into 1 13.484 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.484 * [taylor]: Taking taylor expansion of a in b 13.484 * [backup-simplify]: Simplify a into a 13.484 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.485 * [backup-simplify]: Simplify (* 0 PI) into 0 13.485 * [backup-simplify]: Simplify (* a 0) into 0 13.486 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.486 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 13.487 * [backup-simplify]: Simplify (+ 1 0) into 1 13.487 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 13.487 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in b 13.487 * [taylor]: Taking taylor expansion of -1/2 in b 13.487 * [backup-simplify]: Simplify -1/2 into -1/2 13.487 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in b 13.487 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 13.487 * [taylor]: Taking taylor expansion of a in b 13.487 * [backup-simplify]: Simplify a into a 13.487 * [taylor]: Taking taylor expansion of (* b PI) in b 13.487 * [taylor]: Taking taylor expansion of b in b 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [backup-simplify]: Simplify 1 into 1 13.487 * [taylor]: Taking taylor expansion of PI in b 13.487 * [backup-simplify]: Simplify PI into PI 13.487 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 13.487 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.487 * [taylor]: Taking taylor expansion of b in b 13.487 * [backup-simplify]: Simplify 0 into 0 13.487 * [backup-simplify]: Simplify 1 into 1 13.487 * [backup-simplify]: Simplify (/ 1 1) into 1 13.487 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.487 * [taylor]: Taking taylor expansion of a in b 13.487 * [backup-simplify]: Simplify a into a 13.487 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.488 * [backup-simplify]: Simplify (* 0 PI) into 0 13.488 * [backup-simplify]: Simplify (* a 0) into 0 13.489 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.489 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 13.489 * [backup-simplify]: Simplify (+ 1 0) into 1 13.489 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 13.489 * [backup-simplify]: Simplify (* -1/2 (* a PI)) into (* -1/2 (* a PI)) 13.489 * [taylor]: Taking taylor expansion of (* -1/2 (* a PI)) in a 13.489 * [taylor]: Taking taylor expansion of -1/2 in a 13.489 * [backup-simplify]: Simplify -1/2 into -1/2 13.489 * [taylor]: Taking taylor expansion of (* a PI) in a 13.489 * [taylor]: Taking taylor expansion of a in a 13.489 * [backup-simplify]: Simplify 0 into 0 13.489 * [backup-simplify]: Simplify 1 into 1 13.489 * [taylor]: Taking taylor expansion of PI in a 13.489 * [backup-simplify]: Simplify PI into PI 13.490 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.491 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.491 * [backup-simplify]: Simplify (* 0 PI) into 0 13.492 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 13.492 * [backup-simplify]: Simplify 0 into 0 13.493 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 13.493 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 PI) (* 0 0))) into 0 13.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.494 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 13.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 13.495 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* a PI))) into (* 1/2 PI) 13.495 * [taylor]: Taking taylor expansion of (* 1/2 PI) in a 13.495 * [taylor]: Taking taylor expansion of 1/2 in a 13.495 * [backup-simplify]: Simplify 1/2 into 1/2 13.495 * [taylor]: Taking taylor expansion of PI in a 13.495 * [backup-simplify]: Simplify PI into PI 13.496 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 13.496 * [backup-simplify]: Simplify 0 into 0 13.496 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.497 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.497 * [backup-simplify]: Simplify 0 into 0 13.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.498 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 13.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.499 * [backup-simplify]: Simplify (+ 0 0) into 0 13.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 13.500 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (- (* 1/2 (/ PI a))) 13.500 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a 13.501 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI a)) in a 13.501 * [taylor]: Taking taylor expansion of 1/2 in a 13.501 * [backup-simplify]: Simplify 1/2 into 1/2 13.501 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.501 * [taylor]: Taking taylor expansion of PI in a 13.501 * [backup-simplify]: Simplify PI into PI 13.501 * [taylor]: Taking taylor expansion of a in a 13.501 * [backup-simplify]: Simplify 0 into 0 13.501 * [backup-simplify]: Simplify 1 into 1 13.501 * [backup-simplify]: Simplify (/ PI 1) into PI 13.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.503 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.504 * [backup-simplify]: Simplify (- 0) into 0 13.504 * [backup-simplify]: Simplify 0 into 0 13.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.504 * [backup-simplify]: Simplify 0 into 0 13.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 13.507 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 13.507 * [backup-simplify]: Simplify 0 into 0 13.507 * [backup-simplify]: Simplify 0 into 0 13.507 * * * [progress]: simplifying candidates 13.507 * * * * [progress]: [ 1 / 117 ] simplifiying candidate # 13.507 * * * * [progress]: [ 2 / 117 ] simplifiying candidate # 13.507 * * * * [progress]: [ 3 / 117 ] simplifiying candidate # 13.507 * * * * [progress]: [ 4 / 117 ] simplifiying candidate # 13.507 * * * * [progress]: [ 5 / 117 ] simplifiying candidate # 13.507 * * * * [progress]: [ 6 / 117 ] simplifiying candidate # 13.507 * * * * [progress]: [ 7 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 8 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 9 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 10 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 11 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 12 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 13 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 14 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 15 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 16 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 17 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 18 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 19 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 20 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 21 / 117 ] simplifiying candidate # 13.508 * * * * [progress]: [ 22 / 117 ] simplifiying candidate #real (real->posit16 (/ 1/2 (* a b))))))> 13.508 * * * * [progress]: [ 23 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 24 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 25 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 26 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 27 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 28 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 29 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 30 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 31 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 32 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 33 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 34 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 35 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 36 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 37 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 38 / 117 ] simplifiying candidate # 13.509 * * * * [progress]: [ 39 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 40 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 41 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 42 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 43 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 44 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 45 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 46 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 47 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 48 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 49 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 50 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 51 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 52 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 53 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 54 / 117 ] simplifiying candidate # 13.510 * * * * [progress]: [ 55 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 56 / 117 ] simplifiying candidate #real (real->posit16 (/ PI (+ b a)))) (/ 1/2 (* a b))))> 13.511 * * * * [progress]: [ 57 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 58 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 59 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 60 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 61 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 62 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 63 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 64 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 65 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 66 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 67 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 68 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 69 / 117 ] simplifiying candidate # 13.511 * * * * [progress]: [ 70 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 71 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 72 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 73 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 74 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 75 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 76 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 77 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 78 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 79 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 80 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 81 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 82 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 83 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 84 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 85 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 86 / 117 ] simplifiying candidate # 13.512 * * * * [progress]: [ 87 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 88 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 89 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 90 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 91 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 92 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 93 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 94 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 95 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 96 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 97 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 98 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 99 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 100 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 101 / 117 ] simplifiying candidate # 13.513 * * * * [progress]: [ 102 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 103 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 104 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 105 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 106 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 107 / 117 ] simplifiying candidate #real (real->posit16 (* (/ PI (+ b a)) (/ 1/2 (* a b))))))> 13.514 * * * * [progress]: [ 108 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 109 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 110 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 111 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 112 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 113 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 114 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 115 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 116 / 117 ] simplifiying candidate # 13.514 * * * * [progress]: [ 117 / 117 ] simplifiying candidate # 13.516 * [simplify]: Simplifying: (- (log 1/2) (+ (log a) (log b))) (- (log 1/2) (log (* a b))) (log (/ 1/2 (* a b))) (exp (/ 1/2 (* a b))) (/ (* (* 1/2 1/2) 1/2) (* (* (* a a) a) (* (* b b) b))) (/ (* (* 1/2 1/2) 1/2) (* (* (* a b) (* a b)) (* a b))) (* (cbrt (/ 1/2 (* a b))) (cbrt (/ 1/2 (* a b)))) (cbrt (/ 1/2 (* a b))) (* (* (/ 1/2 (* a b)) (/ 1/2 (* a b))) (/ 1/2 (* a b))) (sqrt (/ 1/2 (* a b))) (sqrt (/ 1/2 (* a b))) (- 1/2) (- (* a b)) (/ (* (cbrt 1/2) (cbrt 1/2)) a) (/ (cbrt 1/2) b) (/ (sqrt 1/2) a) (/ (sqrt 1/2) b) (/ 1 a) (/ 1/2 b) (/ 1 (* a b)) (/ (* a b) 1/2) (/ 1/2 a) (/ (* a b) (cbrt 1/2)) (/ (* a b) (sqrt 1/2)) (/ (* a b) 1/2) (real->posit16 (/ 1/2 (* a b))) (- (log PI) (log (+ b a))) (log (/ PI (+ b a))) (exp (/ PI (+ b a))) (/ (* (* PI PI) PI) (* (* (+ b a) (+ b a)) (+ b a))) (* (cbrt (/ PI (+ b a))) (cbrt (/ PI (+ b a)))) (cbrt (/ PI (+ b a))) (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (sqrt (/ PI (+ b a))) (- PI) (- (+ b a)) (/ (* (cbrt PI) (cbrt PI)) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (cbrt PI) (cbrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ b a))) (/ (cbrt PI) (sqrt (+ b a))) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ b a)) (/ (* (cbrt PI) (cbrt PI)) 1) (/ (cbrt PI) (+ b a)) (/ (sqrt PI) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (sqrt PI) (cbrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) (sqrt (+ b a))) (/ (sqrt PI) 1) (/ (sqrt PI) (+ b a)) (/ (sqrt PI) 1) (/ (sqrt PI) (+ b a)) (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (cbrt (+ b a))) (/ 1 (sqrt (+ b a))) (/ PI (sqrt (+ b a))) (/ 1 1) (/ PI (+ b a)) (/ 1 1) (/ PI (+ b a)) (/ 1 (+ b a)) (/ (+ b a) PI) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ PI (sqrt (+ b a))) (/ PI 1) (/ PI 1) (/ (+ b a) (cbrt PI)) (/ (+ b a) (sqrt PI)) (/ (+ b a) PI) (/ PI (+ (pow b 3) (pow a 3))) (/ PI (- (* b b) (* a a))) (real->posit16 (/ PI (+ b a))) (* (/ PI (+ b a)) (/ 1/2 (* a b))) (+ (- (log PI) (log (+ b a))) (- (log 1/2) (+ (log a) (log b)))) (+ (- (log PI) (log (+ b a))) (- (log 1/2) (log (* a b)))) (+ (- (log PI) (log (+ b a))) (log (/ 1/2 (* a b)))) (+ (log (/ PI (+ b a))) (- (log 1/2) (+ (log a) (log b)))) (+ (log (/ PI (+ b a))) (- (log 1/2) (log (* a b)))) (+ (log (/ PI (+ b a))) (log (/ 1/2 (* a b)))) (log (* (/ PI (+ b a)) (/ 1/2 (* a b)))) (exp (* (/ PI (+ b a)) (/ 1/2 (* a b)))) (* (/ (* (* PI PI) PI) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* 1/2 1/2) 1/2) (* (* (* a a) a) (* (* b b) b)))) (* (/ (* (* PI PI) PI) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* 1/2 1/2) 1/2) (* (* (* a b) (* a b)) (* a b)))) (* (/ (* (* PI PI) PI) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (/ 1/2 (* a b)) (/ 1/2 (* a b))) (/ 1/2 (* a b)))) (* (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (/ (* (* 1/2 1/2) 1/2) (* (* (* a a) a) (* (* b b) b)))) (* (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (/ (* (* 1/2 1/2) 1/2) (* (* (* a b) (* a b)) (* a b)))) (* (* (* (/ PI (+ b a)) (/ PI (+ b a))) (/ PI (+ b a))) (* (* (/ 1/2 (* a b)) (/ 1/2 (* a b))) (/ 1/2 (* a b)))) (* (cbrt (* (/ PI (+ b a)) (/ 1/2 (* a b)))) (cbrt (* (/ PI (+ b a)) (/ 1/2 (* a b))))) (cbrt (* (/ PI (+ b a)) (/ 1/2 (* a b)))) (* (* (* (/ PI (+ b a)) (/ 1/2 (* a b))) (* (/ PI (+ b a)) (/ 1/2 (* a b)))) (* (/ PI (+ b a)) (/ 1/2 (* a b)))) (sqrt (* (/ PI (+ b a)) (/ 1/2 (* a b)))) (sqrt (* (/ PI (+ b a)) (/ 1/2 (* a b)))) (* PI 1/2) (* (+ b a) (* a b)) (* (sqrt (/ PI (+ b a))) (sqrt (/ 1/2 (* a b)))) (* (sqrt (/ PI (+ b a))) (sqrt (/ 1/2 (* a b)))) (* (/ (sqrt PI) (sqrt (+ b a))) (sqrt (/ 1/2 (* a b)))) (* (/ (sqrt PI) (sqrt (+ b a))) (sqrt (/ 1/2 (* a b)))) (* (/ PI (+ b a)) (* (cbrt (/ 1/2 (* a b))) (cbrt (/ 1/2 (* a b))))) (* (/ PI (+ b a)) (sqrt (/ 1/2 (* a b)))) (* (/ PI (+ b a)) (/ (* (cbrt 1/2) (cbrt 1/2)) a)) (* (/ PI (+ b a)) (/ (sqrt 1/2) a)) (* (/ PI (+ b a)) (/ 1 a)) (* (/ PI (+ b a)) 1) (* (/ PI (+ b a)) 1/2) (* (cbrt (/ PI (+ b a))) (/ 1/2 (* a b))) (* (sqrt (/ PI (+ b a))) (/ 1/2 (* a b))) (* (/ (cbrt PI) (cbrt (+ b a))) (/ 1/2 (* a b))) (* (/ (cbrt PI) (sqrt (+ b a))) (/ 1/2 (* a b))) (* (/ (cbrt PI) (+ b a)) (/ 1/2 (* a b))) (* (/ (cbrt PI) (+ b a)) (/ 1/2 (* a b))) (* (/ (sqrt PI) (cbrt (+ b a))) (/ 1/2 (* a b))) (* (/ (sqrt PI) (sqrt (+ b a))) (/ 1/2 (* a b))) (* (/ (sqrt PI) (+ b a)) (/ 1/2 (* a b))) (* (/ (sqrt PI) (+ b a)) (/ 1/2 (* a b))) (* (/ PI (cbrt (+ b a))) (/ 1/2 (* a b))) (* (/ PI (sqrt (+ b a))) (/ 1/2 (* a b))) (* (/ PI (+ b a)) (/ 1/2 (* a b))) (* (/ PI (+ b a)) (/ 1/2 (* a b))) (* (/ PI (+ b a)) (/ 1/2 (* a b))) (* (/ 1 (+ b a)) (/ 1/2 (* a b))) (* (+ (* b b) (- (* a a) (* b a))) (/ 1/2 (* a b))) (* (- b a) (/ 1/2 (* a b))) (* (/ PI (+ b a)) 1/2) (* PI (/ 1/2 (* a b))) (real->posit16 (* (/ PI (+ b a)) (/ 1/2 (* a b)))) (/ 1/2 (* a b)) (/ 1/2 (* a b)) (/ 1/2 (* a b)) 0 0 0 0 0 0 13.519 * * [simplify]: iteration 0: 155 enodes 13.601 * * [simplify]: iteration 1: 428 enodes 13.825 * * [simplify]: iteration 2: 1669 enodes 14.431 * * [simplify]: iteration complete: 5000 enodes 14.431 * * [simplify]: Extracting #0: cost 93 inf + 0 14.443 * * [simplify]: Extracting #1: cost 954 inf + 86 14.451 * * [simplify]: Extracting #2: cost 1654 inf + 17091 14.484 * * [simplify]: Extracting #3: cost 789 inf + 200104 14.562 * * [simplify]: Extracting #4: cost 175 inf + 320979 14.649 * * [simplify]: Extracting #5: cost 45 inf + 362246 14.727 * * [simplify]: Extracting #6: cost 0 inf + 380586 14.826 * [simplify]: Simplified to: (log (/ (/ 1/2 a) b)) (log (/ (/ 1/2 a) b)) (log (/ (/ 1/2 a) b)) (exp (/ (/ 1/2 a) b)) (/ 1/8 (* (* b a) (* (* b a) (* b a)))) (/ 1/8 (* (* b a) (* (* b a) (* b a)))) (* (cbrt (/ (/ 1/2 a) b)) (cbrt (/ (/ 1/2 a) b))) (cbrt (/ (/ 1/2 a) b)) (* (* (/ (/ 1/2 a) b) (/ 1/2 a)) (/ (/ (/ 1/2 a) b) b)) (sqrt (/ (/ 1/2 a) b)) (sqrt (/ (/ 1/2 a) b)) -1/2 (* (- a) b) (* (/ (cbrt 1/2) a) (cbrt 1/2)) (/ (cbrt 1/2) b) (/ (sqrt 1/2) a) (/ (sqrt 1/2) b) (/ 1 a) (/ 1/2 b) (/ 1 (* b a)) (* (/ b 1/2) a) (/ 1/2 a) (/ a (/ (cbrt 1/2) b)) (/ a (/ (sqrt 1/2) b)) (* (/ b 1/2) a) (real->posit16 (/ (/ 1/2 a) b)) (log (/ PI (+ a b))) (log (/ PI (+ a b))) (exp (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (cbrt (/ PI (+ a b))) (cbrt (/ PI (+ a b)))) (cbrt (/ PI (+ a b))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (sqrt (/ PI (+ a b))) (- PI) (- (- b) a) (* (/ (cbrt PI) (cbrt (+ a b))) (/ (cbrt PI) (cbrt (+ a b)))) (/ (cbrt PI) (cbrt (+ a b))) (/ (* (cbrt PI) (cbrt PI)) (sqrt (+ a b))) (/ (cbrt PI) (sqrt (+ a b))) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ a b)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ a b)) (/ (/ (sqrt PI) (cbrt (+ a b))) (cbrt (+ a b))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (sqrt PI) (/ (sqrt PI) (+ a b)) (sqrt PI) (/ (sqrt PI) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) 1 (/ PI (+ a b)) 1 (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ PI (sqrt (+ a b))) PI PI (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (* a (* a a)) (* b (* b b)))) (/ (/ PI (+ a b)) (- b a)) (real->posit16 (/ PI (+ a b))) (* (/ 1/2 a) (/ (/ PI (+ a b)) b)) (log (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (log (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (log (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (log (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (log (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (log (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (log (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (exp (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (/ (* 1/8 (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b)))) (* (* b a) (* (* b a) (* b a)))) (/ (* 1/8 (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b)))) (* (* b a) (* (* b a) (* b a)))) (* (* (/ (/ 1/2 a) b) (* (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (/ (/ 1/2 a) b))) (/ (/ 1/2 a) b)) (* (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* b a) (* b a))) (/ 1/8 (* b a))) (* (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* b a) (* b a))) (/ 1/8 (* b a))) (* (* (* (/ 1/2 a) (/ (/ PI (+ a b)) b)) (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (* (cbrt (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (cbrt (* (/ 1/2 a) (/ (/ PI (+ a b)) b)))) (cbrt (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (* (* (* (/ 1/2 a) (/ (/ PI (+ a b)) b)) (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (sqrt (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (sqrt (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (* PI 1/2) (* (* b (+ a b)) a) (* (sqrt (/ PI (+ a b))) (sqrt (/ (/ 1/2 a) b))) (* (sqrt (/ PI (+ a b))) (sqrt (/ (/ 1/2 a) b))) (/ (* (sqrt PI) (sqrt (/ (/ 1/2 a) b))) (sqrt (+ a b))) (/ (* (sqrt PI) (sqrt (/ (/ 1/2 a) b))) (sqrt (+ a b))) (* (/ PI (+ a b)) (* (cbrt (/ (/ 1/2 a) b)) (cbrt (/ (/ 1/2 a) b)))) (* (sqrt (/ (/ 1/2 a) b)) (/ PI (+ a b))) (/ (* (* (/ PI (+ a b)) (cbrt 1/2)) (cbrt 1/2)) a) (/ (/ PI (+ a b)) (/ a (sqrt 1/2))) (/ (/ PI a) (+ a b)) (/ PI (+ a b)) (* 1/2 (/ PI (+ a b))) (* (/ (/ 1/2 a) b) (cbrt (/ PI (+ a b)))) (/ (sqrt (/ PI (+ a b))) (/ (* b a) 1/2)) (/ (/ (* (cbrt PI) (/ 1/2 a)) b) (cbrt (+ a b))) (* (/ (/ (cbrt PI) (sqrt (+ a b))) b) (/ 1/2 a)) (/ (* (/ (cbrt PI) (+ a b)) 1/2) (* b a)) (/ (* (/ (cbrt PI) (+ a b)) 1/2) (* b a)) (* (/ 1/2 a) (/ (/ (sqrt PI) (cbrt (+ a b))) b)) (/ (/ (* (sqrt PI) 1/2) (sqrt (+ a b))) (* b a)) (* (/ (/ 1/2 a) b) (/ (sqrt PI) (+ a b))) (* (/ (/ 1/2 a) b) (/ (sqrt PI) (+ a b))) (* (/ (/ PI (cbrt (+ a b))) b) (/ 1/2 a)) (/ (/ PI (sqrt (+ a b))) (* a (/ b 1/2))) (* (/ 1/2 a) (/ (/ PI (+ a b)) b)) (* (/ 1/2 a) (/ (/ PI (+ a b)) b)) (* (/ 1/2 a) (/ (/ PI (+ a b)) b)) (/ (/ (/ 1/2 (+ a b)) b) a) (/ (* (+ (* a (- a b)) (* b b)) (/ 1/2 a)) b) (* (/ (- b a) b) (/ 1/2 a)) (* 1/2 (/ PI (+ a b))) (/ PI (/ (* b a) 1/2)) (real->posit16 (* (/ 1/2 a) (/ (/ PI (+ a b)) b))) (/ (/ 1/2 a) b) (/ (/ 1/2 a) b) (/ (/ 1/2 a) b) 0 0 0 0 0 0 14.831 * * * [progress]: adding candidates to table 15.145 * * [progress]: iteration 4 / 4 15.146 * * * [progress]: picking best candidate 15.161 * * * * [pick]: Picked # 15.161 * * * [progress]: localizing error 15.190 * * * [progress]: generating rewritten candidates 15.190 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 2) 15.197 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 15.214 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 15.235 * * * [progress]: generating series expansions 15.235 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 2) 15.235 * [backup-simplify]: Simplify (/ 1/2 (* a b)) into (/ 1/2 (* a b)) 15.235 * [approximate]: Taking taylor expansion of (/ 1/2 (* a b)) in (a b) around 0 15.235 * [taylor]: Taking taylor expansion of (/ 1/2 (* a b)) in b 15.236 * [taylor]: Taking taylor expansion of 1/2 in b 15.236 * [backup-simplify]: Simplify 1/2 into 1/2 15.236 * [taylor]: Taking taylor expansion of (* a b) in b 15.236 * [taylor]: Taking taylor expansion of a in b 15.236 * [backup-simplify]: Simplify a into a 15.236 * [taylor]: Taking taylor expansion of b in b 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify 1 into 1 15.236 * [backup-simplify]: Simplify (* a 0) into 0 15.236 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 15.236 * [backup-simplify]: Simplify (/ 1/2 a) into (/ 1/2 a) 15.236 * [taylor]: Taking taylor expansion of (/ 1/2 (* a b)) in a 15.236 * [taylor]: Taking taylor expansion of 1/2 in a 15.236 * [backup-simplify]: Simplify 1/2 into 1/2 15.236 * [taylor]: Taking taylor expansion of (* a b) in a 15.236 * [taylor]: Taking taylor expansion of a in a 15.236 * [backup-simplify]: Simplify 0 into 0 15.236 * [backup-simplify]: Simplify 1 into 1 15.236 * [taylor]: Taking taylor expansion of b in a 15.236 * [backup-simplify]: Simplify b into b 15.236 * [backup-simplify]: Simplify (* 0 b) into 0 15.237 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 15.237 * [backup-simplify]: Simplify (/ 1/2 b) into (/ 1/2 b) 15.237 * [taylor]: Taking taylor expansion of (/ 1/2 (* a b)) in a 15.237 * [taylor]: Taking taylor expansion of 1/2 in a 15.237 * [backup-simplify]: Simplify 1/2 into 1/2 15.237 * [taylor]: Taking taylor expansion of (* a b) in a 15.237 * [taylor]: Taking taylor expansion of a in a 15.237 * [backup-simplify]: Simplify 0 into 0 15.237 * [backup-simplify]: Simplify 1 into 1 15.237 * [taylor]: Taking taylor expansion of b in a 15.237 * [backup-simplify]: Simplify b into b 15.237 * [backup-simplify]: Simplify (* 0 b) into 0 15.237 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 15.237 * [backup-simplify]: Simplify (/ 1/2 b) into (/ 1/2 b) 15.237 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 15.237 * [taylor]: Taking taylor expansion of 1/2 in b 15.237 * [backup-simplify]: Simplify 1/2 into 1/2 15.237 * [taylor]: Taking taylor expansion of b in b 15.237 * [backup-simplify]: Simplify 0 into 0 15.237 * [backup-simplify]: Simplify 1 into 1 15.238 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 15.238 * [backup-simplify]: Simplify 1/2 into 1/2 15.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 15.238 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)))) into 0 15.238 * [taylor]: Taking taylor expansion of 0 in b 15.238 * [backup-simplify]: Simplify 0 into 0 15.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 15.242 * [backup-simplify]: Simplify 0 into 0 15.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 15.244 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.244 * [taylor]: Taking taylor expansion of 0 in b 15.244 * [backup-simplify]: Simplify 0 into 0 15.244 * [backup-simplify]: Simplify 0 into 0 15.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.245 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 15.246 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.246 * [taylor]: Taking taylor expansion of 0 in b 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.246 * [backup-simplify]: Simplify 0 into 0 15.246 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) 15.247 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 a) (/ 1 b))) into (* 1/2 (* a b)) 15.247 * [approximate]: Taking taylor expansion of (* 1/2 (* a b)) in (a b) around 0 15.247 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in b 15.247 * [taylor]: Taking taylor expansion of 1/2 in b 15.247 * [backup-simplify]: Simplify 1/2 into 1/2 15.247 * [taylor]: Taking taylor expansion of (* a b) in b 15.247 * [taylor]: Taking taylor expansion of a in b 15.247 * [backup-simplify]: Simplify a into a 15.247 * [taylor]: Taking taylor expansion of b in b 15.247 * [backup-simplify]: Simplify 0 into 0 15.247 * [backup-simplify]: Simplify 1 into 1 15.247 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in a 15.247 * [taylor]: Taking taylor expansion of 1/2 in a 15.247 * [backup-simplify]: Simplify 1/2 into 1/2 15.247 * [taylor]: Taking taylor expansion of (* a b) in a 15.247 * [taylor]: Taking taylor expansion of a in a 15.247 * [backup-simplify]: Simplify 0 into 0 15.247 * [backup-simplify]: Simplify 1 into 1 15.247 * [taylor]: Taking taylor expansion of b in a 15.247 * [backup-simplify]: Simplify b into b 15.247 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in a 15.247 * [taylor]: Taking taylor expansion of 1/2 in a 15.247 * [backup-simplify]: Simplify 1/2 into 1/2 15.247 * [taylor]: Taking taylor expansion of (* a b) in a 15.247 * [taylor]: Taking taylor expansion of a in a 15.247 * [backup-simplify]: Simplify 0 into 0 15.247 * [backup-simplify]: Simplify 1 into 1 15.247 * [taylor]: Taking taylor expansion of b in a 15.247 * [backup-simplify]: Simplify b into b 15.247 * [backup-simplify]: Simplify (* 0 b) into 0 15.247 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.247 * [taylor]: Taking taylor expansion of 0 in b 15.247 * [backup-simplify]: Simplify 0 into 0 15.247 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 15.248 * [backup-simplify]: Simplify (+ (* 1/2 b) (* 0 0)) into (* 1/2 b) 15.248 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 15.248 * [taylor]: Taking taylor expansion of 1/2 in b 15.248 * [backup-simplify]: Simplify 1/2 into 1/2 15.248 * [taylor]: Taking taylor expansion of b in b 15.248 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify 1 into 1 15.248 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.248 * [backup-simplify]: Simplify 0 into 0 15.248 * [backup-simplify]: Simplify 0 into 0 15.249 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 15.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 b) (* 0 0))) into 0 15.249 * [taylor]: Taking taylor expansion of 0 in b 15.249 * [backup-simplify]: Simplify 0 into 0 15.249 * [backup-simplify]: Simplify 0 into 0 15.250 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.250 * [backup-simplify]: Simplify 1/2 into 1/2 15.250 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 15.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 15.251 * [taylor]: Taking taylor expansion of 0 in b 15.251 * [backup-simplify]: Simplify 0 into 0 15.251 * [backup-simplify]: Simplify 0 into 0 15.252 * [backup-simplify]: Simplify 0 into 0 15.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.252 * [backup-simplify]: Simplify 0 into 0 15.252 * [backup-simplify]: Simplify 0 into 0 15.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 15.254 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 b) (* 0 0))))) into 0 15.254 * [taylor]: Taking taylor expansion of 0 in b 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* a b)) 15.254 * [backup-simplify]: Simplify (/ 1/2 (* (/ 1 (- a)) (/ 1 (- b)))) into (* 1/2 (* a b)) 15.254 * [approximate]: Taking taylor expansion of (* 1/2 (* a b)) in (a b) around 0 15.254 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in b 15.254 * [taylor]: Taking taylor expansion of 1/2 in b 15.254 * [backup-simplify]: Simplify 1/2 into 1/2 15.254 * [taylor]: Taking taylor expansion of (* a b) in b 15.254 * [taylor]: Taking taylor expansion of a in b 15.254 * [backup-simplify]: Simplify a into a 15.254 * [taylor]: Taking taylor expansion of b in b 15.254 * [backup-simplify]: Simplify 0 into 0 15.254 * [backup-simplify]: Simplify 1 into 1 15.255 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in a 15.255 * [taylor]: Taking taylor expansion of 1/2 in a 15.255 * [backup-simplify]: Simplify 1/2 into 1/2 15.255 * [taylor]: Taking taylor expansion of (* a b) in a 15.255 * [taylor]: Taking taylor expansion of a in a 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 1 into 1 15.255 * [taylor]: Taking taylor expansion of b in a 15.255 * [backup-simplify]: Simplify b into b 15.255 * [taylor]: Taking taylor expansion of (* 1/2 (* a b)) in a 15.255 * [taylor]: Taking taylor expansion of 1/2 in a 15.255 * [backup-simplify]: Simplify 1/2 into 1/2 15.255 * [taylor]: Taking taylor expansion of (* a b) in a 15.255 * [taylor]: Taking taylor expansion of a in a 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 1 into 1 15.255 * [taylor]: Taking taylor expansion of b in a 15.255 * [backup-simplify]: Simplify b into b 15.255 * [backup-simplify]: Simplify (* 0 b) into 0 15.255 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.255 * [taylor]: Taking taylor expansion of 0 in b 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify 0 into 0 15.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 15.256 * [backup-simplify]: Simplify (+ (* 1/2 b) (* 0 0)) into (* 1/2 b) 15.256 * [taylor]: Taking taylor expansion of (* 1/2 b) in b 15.256 * [taylor]: Taking taylor expansion of 1/2 in b 15.256 * [backup-simplify]: Simplify 1/2 into 1/2 15.256 * [taylor]: Taking taylor expansion of b in b 15.256 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify 1 into 1 15.256 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.256 * [backup-simplify]: Simplify 0 into 0 15.256 * [backup-simplify]: Simplify 0 into 0 15.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 15.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 b) (* 0 0))) into 0 15.257 * [taylor]: Taking taylor expansion of 0 in b 15.257 * [backup-simplify]: Simplify 0 into 0 15.257 * [backup-simplify]: Simplify 0 into 0 15.258 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 15.258 * [backup-simplify]: Simplify 1/2 into 1/2 15.258 * [backup-simplify]: Simplify 0 into 0 15.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 15.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 15.259 * [taylor]: Taking taylor expansion of 0 in b 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.259 * [backup-simplify]: Simplify 0 into 0 15.260 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 15.260 * [backup-simplify]: Simplify 0 into 0 15.260 * [backup-simplify]: Simplify 0 into 0 15.261 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 15.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 b) (* 0 0))))) into 0 15.262 * [taylor]: Taking taylor expansion of 0 in b 15.262 * [backup-simplify]: Simplify 0 into 0 15.262 * [backup-simplify]: Simplify 0 into 0 15.262 * [backup-simplify]: Simplify (* 1/2 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1/2 (* a b)) 15.262 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 15.262 * [backup-simplify]: Simplify (* PI (/ 1/2 (* a b))) into (* 1/2 (/ PI (* a b))) 15.262 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a b))) in (a b) around 0 15.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a b))) in b 15.262 * [taylor]: Taking taylor expansion of 1/2 in b 15.262 * [backup-simplify]: Simplify 1/2 into 1/2 15.262 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in b 15.262 * [taylor]: Taking taylor expansion of PI in b 15.262 * [backup-simplify]: Simplify PI into PI 15.262 * [taylor]: Taking taylor expansion of (* a b) in b 15.262 * [taylor]: Taking taylor expansion of a in b 15.262 * [backup-simplify]: Simplify a into a 15.262 * [taylor]: Taking taylor expansion of b in b 15.262 * [backup-simplify]: Simplify 0 into 0 15.263 * [backup-simplify]: Simplify 1 into 1 15.263 * [backup-simplify]: Simplify (* a 0) into 0 15.263 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 15.263 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 15.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a b))) in a 15.263 * [taylor]: Taking taylor expansion of 1/2 in a 15.263 * [backup-simplify]: Simplify 1/2 into 1/2 15.263 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 15.263 * [taylor]: Taking taylor expansion of PI in a 15.263 * [backup-simplify]: Simplify PI into PI 15.263 * [taylor]: Taking taylor expansion of (* a b) in a 15.263 * [taylor]: Taking taylor expansion of a in a 15.263 * [backup-simplify]: Simplify 0 into 0 15.263 * [backup-simplify]: Simplify 1 into 1 15.263 * [taylor]: Taking taylor expansion of b in a 15.263 * [backup-simplify]: Simplify b into b 15.263 * [backup-simplify]: Simplify (* 0 b) into 0 15.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 15.263 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.263 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a b))) in a 15.263 * [taylor]: Taking taylor expansion of 1/2 in a 15.263 * [backup-simplify]: Simplify 1/2 into 1/2 15.263 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 15.263 * [taylor]: Taking taylor expansion of PI in a 15.264 * [backup-simplify]: Simplify PI into PI 15.264 * [taylor]: Taking taylor expansion of (* a b) in a 15.264 * [taylor]: Taking taylor expansion of a in a 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify 1 into 1 15.264 * [taylor]: Taking taylor expansion of b in a 15.264 * [backup-simplify]: Simplify b into b 15.264 * [backup-simplify]: Simplify (* 0 b) into 0 15.264 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 15.264 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 15.264 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 15.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.264 * [taylor]: Taking taylor expansion of 1/2 in b 15.264 * [backup-simplify]: Simplify 1/2 into 1/2 15.264 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.264 * [taylor]: Taking taylor expansion of PI in b 15.264 * [backup-simplify]: Simplify PI into PI 15.264 * [taylor]: Taking taylor expansion of b in b 15.264 * [backup-simplify]: Simplify 0 into 0 15.264 * [backup-simplify]: Simplify 1 into 1 15.265 * [backup-simplify]: Simplify (/ PI 1) into PI 15.265 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.265 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.266 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 15.266 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 15.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI b))) into 0 15.266 * [taylor]: Taking taylor expansion of 0 in b 15.266 * [backup-simplify]: Simplify 0 into 0 15.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.267 * [backup-simplify]: Simplify 0 into 0 15.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 15.268 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ PI b)))) into 0 15.269 * [taylor]: Taking taylor expansion of 0 in b 15.269 * [backup-simplify]: Simplify 0 into 0 15.269 * [backup-simplify]: Simplify 0 into 0 15.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.270 * [backup-simplify]: Simplify 0 into 0 15.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 15.271 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 15.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ PI b))))) into 0 15.272 * [taylor]: Taking taylor expansion of 0 in b 15.272 * [backup-simplify]: Simplify 0 into 0 15.272 * [backup-simplify]: Simplify 0 into 0 15.272 * [backup-simplify]: Simplify 0 into 0 15.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.273 * [backup-simplify]: Simplify 0 into 0 15.274 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 15.274 * [backup-simplify]: Simplify (* PI (/ 1/2 (* (/ 1 a) (/ 1 b)))) into (* 1/2 (* a (* b PI))) 15.274 * [approximate]: Taking taylor expansion of (* 1/2 (* a (* b PI))) in (a b) around 0 15.274 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* b PI))) in b 15.274 * [taylor]: Taking taylor expansion of 1/2 in b 15.274 * [backup-simplify]: Simplify 1/2 into 1/2 15.274 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 15.274 * [taylor]: Taking taylor expansion of a in b 15.274 * [backup-simplify]: Simplify a into a 15.274 * [taylor]: Taking taylor expansion of (* b PI) in b 15.274 * [taylor]: Taking taylor expansion of b in b 15.274 * [backup-simplify]: Simplify 0 into 0 15.274 * [backup-simplify]: Simplify 1 into 1 15.274 * [taylor]: Taking taylor expansion of PI in b 15.274 * [backup-simplify]: Simplify PI into PI 15.274 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* b PI))) in a 15.274 * [taylor]: Taking taylor expansion of 1/2 in a 15.274 * [backup-simplify]: Simplify 1/2 into 1/2 15.274 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.274 * [taylor]: Taking taylor expansion of a in a 15.274 * [backup-simplify]: Simplify 0 into 0 15.274 * [backup-simplify]: Simplify 1 into 1 15.274 * [taylor]: Taking taylor expansion of (* b PI) in a 15.274 * [taylor]: Taking taylor expansion of b in a 15.274 * [backup-simplify]: Simplify b into b 15.274 * [taylor]: Taking taylor expansion of PI in a 15.274 * [backup-simplify]: Simplify PI into PI 15.274 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* b PI))) in a 15.274 * [taylor]: Taking taylor expansion of 1/2 in a 15.274 * [backup-simplify]: Simplify 1/2 into 1/2 15.274 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.274 * [taylor]: Taking taylor expansion of a in a 15.274 * [backup-simplify]: Simplify 0 into 0 15.274 * [backup-simplify]: Simplify 1 into 1 15.274 * [taylor]: Taking taylor expansion of (* b PI) in a 15.274 * [taylor]: Taking taylor expansion of b in a 15.274 * [backup-simplify]: Simplify b into b 15.274 * [taylor]: Taking taylor expansion of PI in a 15.274 * [backup-simplify]: Simplify PI into PI 15.274 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.274 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 15.275 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.275 * [taylor]: Taking taylor expansion of 0 in b 15.275 * [backup-simplify]: Simplify 0 into 0 15.275 * [backup-simplify]: Simplify 0 into 0 15.275 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.275 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 15.276 * [backup-simplify]: Simplify (+ (* 1/2 (* b PI)) (* 0 0)) into (* 1/2 (* b PI)) 15.276 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.276 * [taylor]: Taking taylor expansion of 1/2 in b 15.276 * [backup-simplify]: Simplify 1/2 into 1/2 15.276 * [taylor]: Taking taylor expansion of (* b PI) in b 15.276 * [taylor]: Taking taylor expansion of b in b 15.276 * [backup-simplify]: Simplify 0 into 0 15.276 * [backup-simplify]: Simplify 1 into 1 15.276 * [taylor]: Taking taylor expansion of PI in b 15.276 * [backup-simplify]: Simplify PI into PI 15.276 * [backup-simplify]: Simplify (* 0 PI) into 0 15.276 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify 0 into 0 15.277 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 15.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 15.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* b PI)) (* 0 0))) into 0 15.278 * [taylor]: Taking taylor expansion of 0 in b 15.278 * [backup-simplify]: Simplify 0 into 0 15.278 * [backup-simplify]: Simplify 0 into 0 15.279 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.280 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.280 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.280 * [backup-simplify]: Simplify 0 into 0 15.281 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 15.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (* b PI)) (* 0 0)))) into 0 15.282 * [taylor]: Taking taylor expansion of 0 in b 15.282 * [backup-simplify]: Simplify 0 into 0 15.282 * [backup-simplify]: Simplify 0 into 0 15.282 * [backup-simplify]: Simplify 0 into 0 15.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.284 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.284 * [backup-simplify]: Simplify 0 into 0 15.284 * [backup-simplify]: Simplify 0 into 0 15.284 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.285 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 15.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* b PI)) (* 0 0))))) into 0 15.286 * [taylor]: Taking taylor expansion of 0 in b 15.286 * [backup-simplify]: Simplify 0 into 0 15.286 * [backup-simplify]: Simplify 0 into 0 15.287 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 15.287 * [backup-simplify]: Simplify (* PI (/ 1/2 (* (/ 1 (- a)) (/ 1 (- b))))) into (* 1/2 (* a (* b PI))) 15.287 * [approximate]: Taking taylor expansion of (* 1/2 (* a (* b PI))) in (a b) around 0 15.287 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* b PI))) in b 15.287 * [taylor]: Taking taylor expansion of 1/2 in b 15.287 * [backup-simplify]: Simplify 1/2 into 1/2 15.287 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 15.287 * [taylor]: Taking taylor expansion of a in b 15.287 * [backup-simplify]: Simplify a into a 15.287 * [taylor]: Taking taylor expansion of (* b PI) in b 15.287 * [taylor]: Taking taylor expansion of b in b 15.287 * [backup-simplify]: Simplify 0 into 0 15.287 * [backup-simplify]: Simplify 1 into 1 15.287 * [taylor]: Taking taylor expansion of PI in b 15.287 * [backup-simplify]: Simplify PI into PI 15.287 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* b PI))) in a 15.287 * [taylor]: Taking taylor expansion of 1/2 in a 15.287 * [backup-simplify]: Simplify 1/2 into 1/2 15.287 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.287 * [taylor]: Taking taylor expansion of a in a 15.287 * [backup-simplify]: Simplify 0 into 0 15.287 * [backup-simplify]: Simplify 1 into 1 15.287 * [taylor]: Taking taylor expansion of (* b PI) in a 15.287 * [taylor]: Taking taylor expansion of b in a 15.287 * [backup-simplify]: Simplify b into b 15.287 * [taylor]: Taking taylor expansion of PI in a 15.287 * [backup-simplify]: Simplify PI into PI 15.287 * [taylor]: Taking taylor expansion of (* 1/2 (* a (* b PI))) in a 15.287 * [taylor]: Taking taylor expansion of 1/2 in a 15.287 * [backup-simplify]: Simplify 1/2 into 1/2 15.287 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 15.287 * [taylor]: Taking taylor expansion of a in a 15.287 * [backup-simplify]: Simplify 0 into 0 15.287 * [backup-simplify]: Simplify 1 into 1 15.287 * [taylor]: Taking taylor expansion of (* b PI) in a 15.287 * [taylor]: Taking taylor expansion of b in a 15.287 * [backup-simplify]: Simplify b into b 15.287 * [taylor]: Taking taylor expansion of PI in a 15.287 * [backup-simplify]: Simplify PI into PI 15.288 * [backup-simplify]: Simplify (* b PI) into (* PI b) 15.288 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 15.288 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.288 * [taylor]: Taking taylor expansion of 0 in b 15.288 * [backup-simplify]: Simplify 0 into 0 15.288 * [backup-simplify]: Simplify 0 into 0 15.288 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 15.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 15.289 * [backup-simplify]: Simplify (+ (* 1/2 (* b PI)) (* 0 0)) into (* 1/2 (* b PI)) 15.289 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 15.289 * [taylor]: Taking taylor expansion of 1/2 in b 15.289 * [backup-simplify]: Simplify 1/2 into 1/2 15.289 * [taylor]: Taking taylor expansion of (* b PI) in b 15.289 * [taylor]: Taking taylor expansion of b in b 15.289 * [backup-simplify]: Simplify 0 into 0 15.289 * [backup-simplify]: Simplify 1 into 1 15.289 * [taylor]: Taking taylor expansion of PI in b 15.289 * [backup-simplify]: Simplify PI into PI 15.289 * [backup-simplify]: Simplify (* 0 PI) into 0 15.290 * [backup-simplify]: Simplify (* 1/2 0) into 0 15.290 * [backup-simplify]: Simplify 0 into 0 15.290 * [backup-simplify]: Simplify 0 into 0 15.290 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 15.291 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 15.291 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (* b PI)) (* 0 0))) into 0 15.291 * [taylor]: Taking taylor expansion of 0 in b 15.291 * [backup-simplify]: Simplify 0 into 0 15.291 * [backup-simplify]: Simplify 0 into 0 15.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 15.293 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 15.294 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 15.294 * [backup-simplify]: Simplify 0 into 0 15.294 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 15.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (* b PI)) (* 0 0)))) into 0 15.296 * [taylor]: Taking taylor expansion of 0 in b 15.296 * [backup-simplify]: Simplify 0 into 0 15.296 * [backup-simplify]: Simplify 0 into 0 15.296 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 15.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.297 * [backup-simplify]: Simplify 0 into 0 15.297 * [backup-simplify]: Simplify 0 into 0 15.298 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 15.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 15.300 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* b PI)) (* 0 0))))) into 0 15.300 * [taylor]: Taking taylor expansion of 0 in b 15.300 * [backup-simplify]: Simplify 0 into 0 15.300 * [backup-simplify]: Simplify 0 into 0 15.300 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 (- b)) (/ 1 (- a)))) into (* 1/2 (/ PI (* a b))) 15.301 * * * * [progress]: [ 3 / 3 ] generating series at (2) 15.301 * [backup-simplify]: Simplify (/ (* PI (/ 1/2 (* a b))) (+ b a)) into (* 1/2 (/ PI (* a (* (+ a b) b)))) 15.301 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in (a b) around 0 15.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in b 15.301 * [taylor]: Taking taylor expansion of 1/2 in b 15.301 * [backup-simplify]: Simplify 1/2 into 1/2 15.301 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 15.301 * [taylor]: Taking taylor expansion of PI in b 15.301 * [backup-simplify]: Simplify PI into PI 15.301 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 15.301 * [taylor]: Taking taylor expansion of a in b 15.301 * [backup-simplify]: Simplify a into a 15.301 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 15.301 * [taylor]: Taking taylor expansion of (+ a b) in b 15.301 * [taylor]: Taking taylor expansion of a in b 15.301 * [backup-simplify]: Simplify a into a 15.301 * [taylor]: Taking taylor expansion of b in b 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [backup-simplify]: Simplify 1 into 1 15.301 * [taylor]: Taking taylor expansion of b in b 15.301 * [backup-simplify]: Simplify 0 into 0 15.301 * [backup-simplify]: Simplify 1 into 1 15.301 * [backup-simplify]: Simplify (+ a 0) into a 15.301 * [backup-simplify]: Simplify (* a 0) into 0 15.301 * [backup-simplify]: Simplify (* a 0) into 0 15.302 * [backup-simplify]: Simplify (+ 0 1) into 1 15.302 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 15.302 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 15.302 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 15.302 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 15.302 * [taylor]: Taking taylor expansion of 1/2 in a 15.302 * [backup-simplify]: Simplify 1/2 into 1/2 15.303 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 15.303 * [taylor]: Taking taylor expansion of PI in a 15.303 * [backup-simplify]: Simplify PI into PI 15.303 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 15.303 * [taylor]: Taking taylor expansion of a in a 15.303 * [backup-simplify]: Simplify 0 into 0 15.303 * [backup-simplify]: Simplify 1 into 1 15.303 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 15.303 * [taylor]: Taking taylor expansion of (+ a b) in a 15.303 * [taylor]: Taking taylor expansion of a in a 15.303 * [backup-simplify]: Simplify 0 into 0 15.303 * [backup-simplify]: Simplify 1 into 1 15.303 * [taylor]: Taking taylor expansion of b in a 15.303 * [backup-simplify]: Simplify b into b 15.303 * [taylor]: Taking taylor expansion of b in a 15.303 * [backup-simplify]: Simplify b into b 15.303 * [backup-simplify]: Simplify (+ 0 b) into b 15.303 * [backup-simplify]: Simplify (* b b) into (pow b 2) 15.303 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 15.304 * [backup-simplify]: Simplify (+ 1 0) into 1 15.304 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 15.304 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 15.304 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 15.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) b)))) in a 15.304 * [taylor]: Taking taylor expansion of 1/2 in a 15.304 * [backup-simplify]: Simplify 1/2 into 1/2 15.304 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 15.304 * [taylor]: Taking taylor expansion of PI in a 15.304 * [backup-simplify]: Simplify PI into PI 15.304 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 15.304 * [taylor]: Taking taylor expansion of a in a 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify 1 into 1 15.304 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 15.304 * [taylor]: Taking taylor expansion of (+ a b) in a 15.304 * [taylor]: Taking taylor expansion of a in a 15.304 * [backup-simplify]: Simplify 0 into 0 15.304 * [backup-simplify]: Simplify 1 into 1 15.304 * [taylor]: Taking taylor expansion of b in a 15.304 * [backup-simplify]: Simplify b into b 15.304 * [taylor]: Taking taylor expansion of b in a 15.304 * [backup-simplify]: Simplify b into b 15.304 * [backup-simplify]: Simplify (+ 0 b) into b 15.304 * [backup-simplify]: Simplify (* b b) into (pow b 2) 15.304 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 15.304 * [backup-simplify]: Simplify (+ 1 0) into 1 15.305 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 15.305 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 15.305 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 15.305 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 15.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 15.305 * [taylor]: Taking taylor expansion of 1/2 in b 15.305 * [backup-simplify]: Simplify 1/2 into 1/2 15.305 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 15.305 * [taylor]: Taking taylor expansion of PI in b 15.305 * [backup-simplify]: Simplify PI into PI 15.305 * [taylor]: Taking taylor expansion of (pow b 2) in b 15.305 * [taylor]: Taking taylor expansion of b in b 15.305 * [backup-simplify]: Simplify 0 into 0 15.305 * [backup-simplify]: Simplify 1 into 1 15.305 * [backup-simplify]: Simplify (* 1 1) into 1 15.306 * [backup-simplify]: Simplify (/ PI 1) into PI 15.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 15.307 * [backup-simplify]: Simplify 0 into 0 15.307 * [backup-simplify]: Simplify (+ 0 0) into 0 15.308 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (* 0 b))) into 0 15.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 b) (* 0 (pow b 2)))) into b 15.308 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 15.308 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 1/2 (/ PI (pow b 3)))) 15.308 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b 15.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 15.308 * [taylor]: Taking taylor expansion of 1/2 in b 15.308 * [backup-simplify]: Simplify 1/2 into 1/2 15.308 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 15.308 * [taylor]: Taking taylor expansion of PI in b 15.308 * [backup-simplify]: Simplify PI into PI 15.308 * [taylor]: Taking taylor expansion of (pow b 3) in b 15.308 * [taylor]: Taking taylor expansion of b in b 15.308 * [backup-simplify]: Simplify 0 into 0 15.308 * [backup-simplify]: Simplify 1 into 1 15.309 * [backup-simplify]: Simplify (* 1 1) into 1 15.309 * [backup-simplify]: Simplify (* 1 1) into 1 15.309 * [backup-simplify]: Simplify (/ PI 1) into PI 15.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.313 * [backup-simplify]: Simplify (- 0) into 0 15.313 * [backup-simplify]: Simplify 0 into 0 15.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.315 * [backup-simplify]: Simplify 0 into 0 15.315 * [backup-simplify]: Simplify (+ 0 0) into 0 15.316 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 15.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 b) (* 0 (pow b 2))))) into 0 15.316 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))) (* (- (/ PI (pow b 3))) (/ b (pow b 2))))) into (/ PI (pow b 4)) 15.317 * [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))) 15.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 15.317 * [taylor]: Taking taylor expansion of 1/2 in b 15.317 * [backup-simplify]: Simplify 1/2 into 1/2 15.317 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 15.317 * [taylor]: Taking taylor expansion of PI in b 15.317 * [backup-simplify]: Simplify PI into PI 15.317 * [taylor]: Taking taylor expansion of (pow b 4) in b 15.317 * [taylor]: Taking taylor expansion of b in b 15.317 * [backup-simplify]: Simplify 0 into 0 15.317 * [backup-simplify]: Simplify 1 into 1 15.317 * [backup-simplify]: Simplify (* 1 1) into 1 15.317 * [backup-simplify]: Simplify (* 1 1) into 1 15.318 * [backup-simplify]: Simplify (/ PI 1) into PI 15.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 15.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 15.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.323 * [backup-simplify]: Simplify 0 into 0 15.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.326 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.326 * [backup-simplify]: Simplify (- 0) into 0 15.326 * [backup-simplify]: Simplify 0 into 0 15.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 15.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.328 * [backup-simplify]: Simplify 0 into 0 15.328 * [backup-simplify]: Simplify 0 into 0 15.328 * [backup-simplify]: Simplify (/ (* PI (/ 1/2 (* (/ 1 a) (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) into (* 1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) 15.328 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 15.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in b 15.328 * [taylor]: Taking taylor expansion of 1/2 in b 15.328 * [backup-simplify]: Simplify 1/2 into 1/2 15.328 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in b 15.328 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 15.328 * [taylor]: Taking taylor expansion of a in b 15.328 * [backup-simplify]: Simplify a into a 15.328 * [taylor]: Taking taylor expansion of (* PI b) in b 15.329 * [taylor]: Taking taylor expansion of PI in b 15.329 * [backup-simplify]: Simplify PI into PI 15.329 * [taylor]: Taking taylor expansion of b in b 15.329 * [backup-simplify]: Simplify 0 into 0 15.329 * [backup-simplify]: Simplify 1 into 1 15.329 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 15.329 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.329 * [taylor]: Taking taylor expansion of b in b 15.329 * [backup-simplify]: Simplify 0 into 0 15.329 * [backup-simplify]: Simplify 1 into 1 15.329 * [backup-simplify]: Simplify (/ 1 1) into 1 15.329 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.329 * [taylor]: Taking taylor expansion of a in b 15.329 * [backup-simplify]: Simplify a into a 15.329 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.329 * [backup-simplify]: Simplify (* PI 0) into 0 15.329 * [backup-simplify]: Simplify (* a 0) into 0 15.330 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 15.331 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 15.331 * [backup-simplify]: Simplify (+ 1 0) into 1 15.331 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 15.331 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in a 15.331 * [taylor]: Taking taylor expansion of 1/2 in a 15.331 * [backup-simplify]: Simplify 1/2 into 1/2 15.331 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in a 15.331 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 15.331 * [taylor]: Taking taylor expansion of a in a 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 1 into 1 15.331 * [taylor]: Taking taylor expansion of (* PI b) in a 15.331 * [taylor]: Taking taylor expansion of PI in a 15.331 * [backup-simplify]: Simplify PI into PI 15.331 * [taylor]: Taking taylor expansion of b in a 15.331 * [backup-simplify]: Simplify b into b 15.331 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 15.331 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.331 * [taylor]: Taking taylor expansion of b in a 15.331 * [backup-simplify]: Simplify b into b 15.331 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.331 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.331 * [taylor]: Taking taylor expansion of a in a 15.331 * [backup-simplify]: Simplify 0 into 0 15.331 * [backup-simplify]: Simplify 1 into 1 15.335 * [backup-simplify]: Simplify (/ 1 1) into 1 15.336 * [backup-simplify]: Simplify (* PI b) into (* b PI) 15.336 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 15.336 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 15.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 15.337 * [backup-simplify]: Simplify (+ 0 1) into 1 15.337 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 15.337 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in a 15.337 * [taylor]: Taking taylor expansion of 1/2 in a 15.337 * [backup-simplify]: Simplify 1/2 into 1/2 15.337 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in a 15.337 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 15.337 * [taylor]: Taking taylor expansion of a in a 15.337 * [backup-simplify]: Simplify 0 into 0 15.337 * [backup-simplify]: Simplify 1 into 1 15.337 * [taylor]: Taking taylor expansion of (* PI b) in a 15.337 * [taylor]: Taking taylor expansion of PI in a 15.337 * [backup-simplify]: Simplify PI into PI 15.337 * [taylor]: Taking taylor expansion of b in a 15.337 * [backup-simplify]: Simplify b into b 15.337 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 15.337 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.337 * [taylor]: Taking taylor expansion of b in a 15.337 * [backup-simplify]: Simplify b into b 15.337 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.337 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.337 * [taylor]: Taking taylor expansion of a in a 15.337 * [backup-simplify]: Simplify 0 into 0 15.337 * [backup-simplify]: Simplify 1 into 1 15.338 * [backup-simplify]: Simplify (/ 1 1) into 1 15.338 * [backup-simplify]: Simplify (* PI b) into (* b PI) 15.338 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 15.338 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 15.339 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 15.339 * [backup-simplify]: Simplify (+ 0 1) into 1 15.339 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 15.339 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 15.339 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 15.339 * [taylor]: Taking taylor expansion of 1/2 in b 15.339 * [backup-simplify]: Simplify 1/2 into 1/2 15.339 * [taylor]: Taking taylor expansion of (* PI b) in b 15.339 * [taylor]: Taking taylor expansion of PI in b 15.339 * [backup-simplify]: Simplify PI into PI 15.339 * [taylor]: Taking taylor expansion of b in b 15.339 * [backup-simplify]: Simplify 0 into 0 15.339 * [backup-simplify]: Simplify 1 into 1 15.340 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 15.342 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 15.342 * [backup-simplify]: Simplify (* PI 0) into 0 15.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.343 * [backup-simplify]: Simplify 0 into 0 15.344 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 15.345 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* b PI)))) into 0 15.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.346 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 15.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 15.348 * [backup-simplify]: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI b))) into (- (* 1/2 PI)) 15.348 * [taylor]: Taking taylor expansion of (- (* 1/2 PI)) in b 15.348 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 15.348 * [taylor]: Taking taylor expansion of 1/2 in b 15.348 * [backup-simplify]: Simplify 1/2 into 1/2 15.348 * [taylor]: Taking taylor expansion of PI in b 15.348 * [backup-simplify]: Simplify PI into PI 15.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.349 * [backup-simplify]: Simplify (- 0) into 0 15.349 * [backup-simplify]: Simplify 0 into 0 15.350 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.350 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.351 * [backup-simplify]: Simplify 0 into 0 15.351 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 15.352 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* b PI))))) into 0 15.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.353 * [backup-simplify]: Simplify (+ 0 0) into 0 15.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 15.354 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 15.354 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.354 * [taylor]: Taking taylor expansion of 1/2 in b 15.354 * [backup-simplify]: Simplify 1/2 into 1/2 15.354 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.354 * [taylor]: Taking taylor expansion of PI in b 15.354 * [backup-simplify]: Simplify PI into PI 15.354 * [taylor]: Taking taylor expansion of b in b 15.354 * [backup-simplify]: Simplify 0 into 0 15.354 * [backup-simplify]: Simplify 1 into 1 15.355 * [backup-simplify]: Simplify (/ PI 1) into PI 15.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.358 * [backup-simplify]: Simplify 0 into 0 15.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.359 * [backup-simplify]: Simplify (- 0) into 0 15.359 * [backup-simplify]: Simplify 0 into 0 15.360 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.360 * [backup-simplify]: Simplify 0 into 0 15.360 * [backup-simplify]: Simplify 0 into 0 15.361 * [backup-simplify]: Simplify (/ (* PI (/ 1/2 (* (/ 1 (- a)) (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) 15.361 * [approximate]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 15.361 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in b 15.361 * [taylor]: Taking taylor expansion of -1/2 in b 15.361 * [backup-simplify]: Simplify -1/2 into -1/2 15.361 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in b 15.361 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 15.361 * [taylor]: Taking taylor expansion of a in b 15.361 * [backup-simplify]: Simplify a into a 15.361 * [taylor]: Taking taylor expansion of (* PI b) in b 15.361 * [taylor]: Taking taylor expansion of PI in b 15.361 * [backup-simplify]: Simplify PI into PI 15.361 * [taylor]: Taking taylor expansion of b in b 15.361 * [backup-simplify]: Simplify 0 into 0 15.361 * [backup-simplify]: Simplify 1 into 1 15.361 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 15.361 * [taylor]: Taking taylor expansion of (/ 1 b) in b 15.361 * [taylor]: Taking taylor expansion of b in b 15.361 * [backup-simplify]: Simplify 0 into 0 15.361 * [backup-simplify]: Simplify 1 into 1 15.361 * [backup-simplify]: Simplify (/ 1 1) into 1 15.361 * [taylor]: Taking taylor expansion of (/ 1 a) in b 15.361 * [taylor]: Taking taylor expansion of a in b 15.361 * [backup-simplify]: Simplify a into a 15.361 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 15.362 * [backup-simplify]: Simplify (* PI 0) into 0 15.362 * [backup-simplify]: Simplify (* a 0) into 0 15.363 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 15.363 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 15.363 * [backup-simplify]: Simplify (+ 1 0) into 1 15.363 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 15.363 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in a 15.363 * [taylor]: Taking taylor expansion of -1/2 in a 15.363 * [backup-simplify]: Simplify -1/2 into -1/2 15.363 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in a 15.363 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 15.363 * [taylor]: Taking taylor expansion of a in a 15.363 * [backup-simplify]: Simplify 0 into 0 15.363 * [backup-simplify]: Simplify 1 into 1 15.363 * [taylor]: Taking taylor expansion of (* PI b) in a 15.363 * [taylor]: Taking taylor expansion of PI in a 15.363 * [backup-simplify]: Simplify PI into PI 15.363 * [taylor]: Taking taylor expansion of b in a 15.363 * [backup-simplify]: Simplify b into b 15.363 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 15.363 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.363 * [taylor]: Taking taylor expansion of b in a 15.363 * [backup-simplify]: Simplify b into b 15.363 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.363 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.364 * [taylor]: Taking taylor expansion of a in a 15.364 * [backup-simplify]: Simplify 0 into 0 15.364 * [backup-simplify]: Simplify 1 into 1 15.364 * [backup-simplify]: Simplify (/ 1 1) into 1 15.364 * [backup-simplify]: Simplify (* PI b) into (* b PI) 15.364 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 15.364 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 15.364 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 15.365 * [backup-simplify]: Simplify (+ 0 1) into 1 15.365 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 15.365 * [taylor]: Taking taylor expansion of (* -1/2 (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a)))) in a 15.365 * [taylor]: Taking taylor expansion of -1/2 in a 15.365 * [backup-simplify]: Simplify -1/2 into -1/2 15.365 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 b) (/ 1 a))) in a 15.365 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 15.365 * [taylor]: Taking taylor expansion of a in a 15.365 * [backup-simplify]: Simplify 0 into 0 15.365 * [backup-simplify]: Simplify 1 into 1 15.365 * [taylor]: Taking taylor expansion of (* PI b) in a 15.365 * [taylor]: Taking taylor expansion of PI in a 15.365 * [backup-simplify]: Simplify PI into PI 15.365 * [taylor]: Taking taylor expansion of b in a 15.365 * [backup-simplify]: Simplify b into b 15.365 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 15.365 * [taylor]: Taking taylor expansion of (/ 1 b) in a 15.365 * [taylor]: Taking taylor expansion of b in a 15.365 * [backup-simplify]: Simplify b into b 15.365 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 15.365 * [taylor]: Taking taylor expansion of (/ 1 a) in a 15.365 * [taylor]: Taking taylor expansion of a in a 15.365 * [backup-simplify]: Simplify 0 into 0 15.365 * [backup-simplify]: Simplify 1 into 1 15.365 * [backup-simplify]: Simplify (/ 1 1) into 1 15.365 * [backup-simplify]: Simplify (* PI b) into (* b PI) 15.366 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 15.366 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 15.366 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 15.366 * [backup-simplify]: Simplify (+ 0 1) into 1 15.367 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 15.367 * [backup-simplify]: Simplify (* -1/2 (* PI b)) into (* -1/2 (* PI b)) 15.367 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 15.367 * [taylor]: Taking taylor expansion of -1/2 in b 15.367 * [backup-simplify]: Simplify -1/2 into -1/2 15.367 * [taylor]: Taking taylor expansion of (* PI b) in b 15.367 * [taylor]: Taking taylor expansion of PI in b 15.367 * [backup-simplify]: Simplify PI into PI 15.367 * [taylor]: Taking taylor expansion of b in b 15.367 * [backup-simplify]: Simplify 0 into 0 15.367 * [backup-simplify]: Simplify 1 into 1 15.367 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 15.368 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 15.369 * [backup-simplify]: Simplify (* PI 0) into 0 15.369 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 15.369 * [backup-simplify]: Simplify 0 into 0 15.370 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 15.371 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* b PI)))) into 0 15.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 15.372 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 15.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (/ 1 b) 1)))) into (- PI) 15.374 * [backup-simplify]: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI b))) into (* 1/2 PI) 15.374 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 15.374 * [taylor]: Taking taylor expansion of 1/2 in b 15.374 * [backup-simplify]: Simplify 1/2 into 1/2 15.374 * [taylor]: Taking taylor expansion of PI in b 15.374 * [backup-simplify]: Simplify PI into PI 15.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 15.375 * [backup-simplify]: Simplify 0 into 0 15.376 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 15.377 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 15.378 * [backup-simplify]: Simplify 0 into 0 15.379 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 15.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* b PI))))) into 0 15.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 15.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.381 * [backup-simplify]: Simplify (+ 0 0) into 0 15.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 15.384 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* PI b)))) into (- (* 1/2 (/ PI b))) 15.384 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 15.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 15.384 * [taylor]: Taking taylor expansion of 1/2 in b 15.384 * [backup-simplify]: Simplify 1/2 into 1/2 15.384 * [taylor]: Taking taylor expansion of (/ PI b) in b 15.384 * [taylor]: Taking taylor expansion of PI in b 15.384 * [backup-simplify]: Simplify PI into PI 15.384 * [taylor]: Taking taylor expansion of b in b 15.384 * [backup-simplify]: Simplify 0 into 0 15.384 * [backup-simplify]: Simplify 1 into 1 15.384 * [backup-simplify]: Simplify (/ PI 1) into PI 15.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 15.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 15.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.389 * [backup-simplify]: Simplify (- 0) into 0 15.389 * [backup-simplify]: Simplify 0 into 0 15.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 15.390 * [backup-simplify]: Simplify 0 into 0 15.392 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 15.393 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 15.393 * [backup-simplify]: Simplify 0 into 0 15.393 * [backup-simplify]: Simplify 0 into 0 15.393 * * * [progress]: simplifying candidates 15.393 * * * * [progress]: [ 1 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 2 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 3 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 4 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 5 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 6 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 7 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 8 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 9 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 10 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 11 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 12 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 13 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 14 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 15 / 90 ] simplifiying candidate # 15.394 * * * * [progress]: [ 16 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 17 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 18 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 19 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 20 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 21 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 22 / 90 ] simplifiying candidate #real (real->posit16 (/ 1/2 (* a b))))) (+ b a)))> 15.395 * * * * [progress]: [ 23 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 24 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 25 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 26 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 27 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 28 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 29 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 30 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 31 / 90 ] simplifiying candidate # 15.395 * * * * [progress]: [ 32 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 33 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 34 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 35 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 36 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 37 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 38 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 39 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 40 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 41 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 42 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 43 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 44 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 45 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 46 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 47 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 48 / 90 ] simplifiying candidate # 15.396 * * * * [progress]: [ 49 / 90 ] simplifiying candidate #real (real->posit16 (* PI (/ 1/2 (* a b))))) (+ b a)))> 15.397 * * * * [progress]: [ 50 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 51 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 52 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 53 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 54 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 55 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 56 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 57 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 58 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 59 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 60 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 61 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 62 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 63 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 64 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 65 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 66 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 67 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 68 / 90 ] simplifiying candidate # 15.397 * * * * [progress]: [ 69 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 70 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 71 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 72 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 73 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 74 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 75 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 76 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 77 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 78 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 79 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 80 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 81 / 90 ] simplifiying candidate #real (real->posit16 (/ (* PI (/ 1/2 (* a b))) (+ b a)))))> 15.398 * * * * [progress]: [ 82 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 83 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 84 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 85 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 86 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 87 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 88 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 89 / 90 ] simplifiying candidate # 15.398 * * * * [progress]: [ 90 / 90 ] simplifiying candidate # 15.399 * [simplify]: Simplifying: (- (log 1/2) (+ (log a) (log b))) (- (log 1/2) (log (* a b))) (log (/ 1/2 (* a b))) (exp (/ 1/2 (* a b))) (/ (* (* 1/2 1/2) 1/2) (* (* (* a a) a) (* (* b b) b))) (/ (* (* 1/2 1/2) 1/2) (* (* (* a b) (* a b)) (* a b))) (* (cbrt (/ 1/2 (* a b))) (cbrt (/ 1/2 (* a b)))) (cbrt (/ 1/2 (* a b))) (* (* (/ 1/2 (* a b)) (/ 1/2 (* a b))) (/ 1/2 (* a b))) (sqrt (/ 1/2 (* a b))) (sqrt (/ 1/2 (* a b))) (- 1/2) (- (* a b)) (/ (* (cbrt 1/2) (cbrt 1/2)) a) (/ (cbrt 1/2) b) (/ (sqrt 1/2) a) (/ (sqrt 1/2) b) (/ 1 a) (/ 1/2 b) (/ 1 (* a b)) (/ (* a b) 1/2) (/ 1/2 a) (/ (* a b) (cbrt 1/2)) (/ (* a b) (sqrt 1/2)) (/ (* a b) 1/2) (real->posit16 (/ 1/2 (* a b))) (* PI (/ 1/2 (* a b))) (+ (log PI) (- (log 1/2) (+ (log a) (log b)))) (+ (log PI) (- (log 1/2) (log (* a b)))) (+ (log PI) (log (/ 1/2 (* a b)))) (log (* PI (/ 1/2 (* a b)))) (exp (* PI (/ 1/2 (* a b)))) (* (* (* PI PI) PI) (/ (* (* 1/2 1/2) 1/2) (* (* (* a a) a) (* (* b b) b)))) (* (* (* PI PI) PI) (/ (* (* 1/2 1/2) 1/2) (* (* (* a b) (* a b)) (* a b)))) (* (* (* PI PI) PI) (* (* (/ 1/2 (* a b)) (/ 1/2 (* a b))) (/ 1/2 (* a b)))) (* (cbrt (* PI (/ 1/2 (* a b)))) (cbrt (* PI (/ 1/2 (* a b))))) (cbrt (* PI (/ 1/2 (* a b)))) (* (* (* PI (/ 1/2 (* a b))) (* PI (/ 1/2 (* a b)))) (* PI (/ 1/2 (* a b)))) (sqrt (* PI (/ 1/2 (* a b)))) (sqrt (* PI (/ 1/2 (* a b)))) (* (sqrt PI) (sqrt (/ 1/2 (* a b)))) (* (sqrt PI) (sqrt (/ 1/2 (* a b)))) (* PI (* (cbrt (/ 1/2 (* a b))) (cbrt (/ 1/2 (* a b))))) (* PI (sqrt (/ 1/2 (* a b)))) (* PI (/ (* (cbrt 1/2) (cbrt 1/2)) a)) (* PI (/ (sqrt 1/2) a)) (* PI (/ 1 a)) (* PI 1) (* PI 1/2) (* (cbrt PI) (/ 1/2 (* a b))) (* (sqrt PI) (/ 1/2 (* a b))) (* PI (/ 1/2 (* a b))) (* PI 1/2) (real->posit16 (* PI (/ 1/2 (* a b)))) (- (+ (log PI) (- (log 1/2) (+ (log a) (log b)))) (log (+ b a))) (- (+ (log PI) (- (log 1/2) (log (* a b)))) (log (+ b a))) (- (+ (log PI) (log (/ 1/2 (* a b)))) (log (+ b a))) (- (log (* PI (/ 1/2 (* a b)))) (log (+ b a))) (log (/ (* PI (/ 1/2 (* a b))) (+ b a))) (exp (/ (* PI (/ 1/2 (* a b))) (+ b a))) (/ (* (* (* PI PI) PI) (/ (* (* 1/2 1/2) 1/2) (* (* (* a a) a) (* (* b b) b)))) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* (* PI PI) PI) (/ (* (* 1/2 1/2) 1/2) (* (* (* a b) (* a b)) (* a b)))) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* (* PI PI) PI) (* (* (/ 1/2 (* a b)) (/ 1/2 (* a b))) (/ 1/2 (* a b)))) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* (* PI (/ 1/2 (* a b))) (* PI (/ 1/2 (* a b)))) (* PI (/ 1/2 (* a b)))) (* (* (+ b a) (+ b a)) (+ b a))) (* (cbrt (/ (* PI (/ 1/2 (* a b))) (+ b a))) (cbrt (/ (* PI (/ 1/2 (* a b))) (+ b a)))) (cbrt (/ (* PI (/ 1/2 (* a b))) (+ b a))) (* (* (/ (* PI (/ 1/2 (* a b))) (+ b a)) (/ (* PI (/ 1/2 (* a b))) (+ b a))) (/ (* PI (/ 1/2 (* a b))) (+ b a))) (sqrt (/ (* PI (/ 1/2 (* a b))) (+ b a))) (sqrt (/ (* PI (/ 1/2 (* a b))) (+ b a))) (- (* PI (/ 1/2 (* a b)))) (- (+ b a)) (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (/ 1/2 (* a b)) (cbrt (+ b a))) (/ PI (sqrt (+ b a))) (/ (/ 1/2 (* a b)) (sqrt (+ b a))) (/ PI 1) (/ (/ 1/2 (* a b)) (+ b a)) (/ PI 1) (/ (/ 1/2 (* a b)) (+ b a)) (/ 1 (+ b a)) (/ (+ b a) (* PI (/ 1/2 (* a b)))) (/ (* PI (/ 1/2 (* a b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (/ (* PI (/ 1/2 (* a b))) (sqrt (+ b a))) (/ (* PI (/ 1/2 (* a b))) 1) (/ (* PI (/ 1/2 (* a b))) 1) (/ (+ b a) (/ 1/2 (* a b))) (/ (* PI (/ 1/2 (* a b))) (+ (pow b 3) (pow a 3))) (/ (* PI (/ 1/2 (* a b))) (- (* b b) (* a a))) (* (+ b a) (* a b)) (real->posit16 (/ (* PI (/ 1/2 (* a b))) (+ b a))) (/ 1/2 (* a b)) (/ 1/2 (* a b)) (/ 1/2 (* a b)) (* 1/2 (/ PI (* a b))) (* 1/2 (/ PI (* a b))) (* 1/2 (/ PI (* a b))) 0 0 0 15.400 * * [simplify]: iteration 0: 128 enodes 15.433 * * [simplify]: iteration 1: 348 enodes 15.577 * * [simplify]: iteration 2: 1303 enodes 15.969 * * [simplify]: iteration complete: 5000 enodes 15.969 * * [simplify]: Extracting #0: cost 68 inf + 0 15.971 * * [simplify]: Extracting #1: cost 1150 inf + 3 15.985 * * [simplify]: Extracting #2: cost 1750 inf + 34407 16.041 * * [simplify]: Extracting #3: cost 747 inf + 253779 16.129 * * [simplify]: Extracting #4: cost 111 inf + 390496 16.238 * * [simplify]: Extracting #5: cost 15 inf + 422858 16.345 * * [simplify]: Extracting #6: cost 0 inf + 428840 16.465 * [simplify]: Simplified to: (log (/ (/ 1/2 a) b)) (log (/ (/ 1/2 a) b)) (log (/ (/ 1/2 a) b)) (exp (/ (/ 1/2 a) b)) (/ 1/8 (* (* b a) (* (* b a) (* b a)))) (/ 1/8 (* (* b a) (* (* b a) (* b a)))) (* (cbrt (/ (/ 1/2 a) b)) (cbrt (/ (/ 1/2 a) b))) (cbrt (/ (/ 1/2 a) b)) (* (* (/ (/ 1/2 a) b) (/ (/ 1/2 a) b)) (/ (/ 1/2 a) b)) (sqrt (/ (/ 1/2 a) b)) (sqrt (/ (/ 1/2 a) b)) -1/2 (* (- b) a) (/ (* (cbrt 1/2) (cbrt 1/2)) a) (/ (cbrt 1/2) b) (/ (sqrt 1/2) a) (/ (sqrt 1/2) b) (/ 1 a) (/ 1/2 b) (/ (/ 1 a) b) (* (/ a 1/2) b) (/ 1/2 a) (/ (* b a) (cbrt 1/2)) (/ (* b a) (sqrt 1/2)) (* (/ a 1/2) b) (real->posit16 (/ (/ 1/2 a) b)) (/ (* 1/2 PI) (* b a)) (log (/ (* 1/2 PI) (* b a))) (log (/ (* 1/2 PI) (* b a))) (log (/ (* 1/2 PI) (* b a))) (log (/ (* 1/2 PI) (* b a))) (exp (/ (* 1/2 PI) (* b a))) (* (* (/ 1/8 (* (* b a) (* (* b a) (* b a)))) PI) (* PI PI)) (* (* (/ 1/8 (* (* b a) (* (* b a) (* b a)))) PI) (* PI PI)) (* PI (* (* (* PI (/ (/ 1/2 a) b)) (* PI (/ (/ 1/2 a) b))) (/ (/ 1/2 a) b))) (* (cbrt (/ (* 1/2 PI) (* b a))) (cbrt (/ (* 1/2 PI) (* b a)))) (cbrt (/ (* 1/2 PI) (* b a))) (* (* PI (/ (/ 1/2 a) b)) (* (* PI (/ (/ 1/2 a) b)) (* PI (/ (/ 1/2 a) b)))) (sqrt (/ (* 1/2 PI) (* b a))) (sqrt (/ (* 1/2 PI) (* b a))) (* (sqrt (/ (/ 1/2 a) b)) (sqrt PI)) (* (sqrt (/ (/ 1/2 a) b)) (sqrt PI)) (* (* PI (cbrt (/ (/ 1/2 a) b))) (cbrt (/ (/ 1/2 a) b))) (* PI (sqrt (/ (/ 1/2 a) b))) (/ PI (/ a (* (cbrt 1/2) (cbrt 1/2)))) (* (/ (sqrt 1/2) a) PI) (/ PI a) PI (* PI 1/2) (* (/ (/ 1/2 a) b) (cbrt PI)) (* (/ 1/2 a) (/ (sqrt PI) b)) (/ (* 1/2 PI) (* b a)) (* PI 1/2) (real->posit16 (/ (* 1/2 PI) (* b a))) (log (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (log (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (log (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (log (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (log (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (exp (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (* (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (/ 1/8 (* (* b a) (* (* b a) (* b a))))) (* (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (/ 1/8 (* (* b a) (* (* b a) (* b a))))) (/ (* PI (* PI PI)) (* (* (* b a) (/ (+ a b) 1/2)) (* (* (* b a) (/ (+ a b) 1/2)) (* (* b a) (/ (+ a b) 1/2))))) (* (* (/ PI (+ a b)) (/ (/ 1/2 a) b)) (* (* (/ PI (+ a b)) (/ (/ 1/2 a) b)) (* (/ PI (+ a b)) (/ (/ 1/2 a) b)))) (* (cbrt (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (cbrt (* (/ PI (+ a b)) (/ (/ 1/2 a) b)))) (cbrt (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (* (* (/ PI (+ a b)) (/ (/ 1/2 a) b)) (* (* (/ PI (+ a b)) (/ (/ 1/2 a) b)) (* (/ PI (+ a b)) (/ (/ 1/2 a) b)))) (sqrt (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (sqrt (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (* (/ PI b) (/ -1/2 a)) (- (- b) a) (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ 1/2 (cbrt (+ a b))) (* b a)) (/ PI (sqrt (+ a b))) (/ (/ (/ 1/2 a) b) (sqrt (+ a b))) PI (/ 1/2 (* (* b a) (+ a b))) PI (/ 1/2 (* (* b a) (+ a b))) (/ 1 (+ a b)) (/ (/ (+ a b) PI) (/ (/ 1/2 a) b)) (* (/ (/ PI a) (cbrt (+ a b))) (/ (/ 1/2 b) (cbrt (+ a b)))) (* (/ PI (* b a)) (/ 1/2 (sqrt (+ a b)))) (/ (* 1/2 PI) (* b a)) (/ (* 1/2 PI) (* b a)) (* (* b a) (/ (+ a b) 1/2)) (* (/ 1/2 (+ (* a (* a a)) (* b (* b b)))) (/ PI (* b a))) (/ (/ (* 1/2 PI) (* b a)) (* (+ a b) (- b a))) (* (* b a) (+ a b)) (real->posit16 (* (/ PI (+ a b)) (/ (/ 1/2 a) b))) (/ (/ 1/2 a) b) (/ (/ 1/2 a) b) (/ (/ 1/2 a) b) (/ (* PI 1/2) (* b a)) (/ (* PI 1/2) (* b a)) (/ (* PI 1/2) (* b a)) 0 0 0 16.468 * * * [progress]: adding candidates to table 16.755 * [progress]: [Phase 3 of 3] Extracting. 16.756 * * [regime]: Finding splitpoints for: (# # # # # #) 16.758 * * * [regime-changes]: Trying 2 branch expressions: (b a) 16.759 * * * * [regimes]: Trying to branch on b from (# # # # # #) 16.819 * * * * [regimes]: Trying to branch on a from (# # # # # #) 16.856 * * * [regime]: Found split indices: #