25.133 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.051 * * * [progress]: [2/2] Setting up program. 0.059 * [progress]: [Phase 2 of 3] Improving. 0.060 * [simplify]: Simplifying: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 0.060 * * [simplify]: iteration 0: 15 enodes 0.067 * * [simplify]: iteration 1: 30 enodes 0.086 * * [simplify]: iteration 2: 88 enodes 0.176 * * [simplify]: iteration 3: 363 enodes 0.585 * * [simplify]: iteration 4: 1526 enodes 3.748 * * [simplify]: iteration complete: 5001 enodes 3.748 * * [simplify]: Extracting #0: cost 1 inf + 0 3.748 * * [simplify]: Extracting #1: cost 200 inf + 0 3.754 * * [simplify]: Extracting #2: cost 813 inf + 170 3.771 * * [simplify]: Extracting #3: cost 858 inf + 27639 3.870 * * [simplify]: Extracting #4: cost 153 inf + 173255 4.001 * * [simplify]: Extracting #5: cost 0 inf + 209862 4.130 * [simplify]: Simplified to: (* (/ (/ PI 2.0) (/ (- b a) (- (/ 1.0 a) (/ 1.0 b)))) (/ 1.0 (+ a b))) 4.132 * * [progress]: iteration 1 / 4 4.132 * * * [progress]: picking best candidate 4.142 * * * * [pick]: Picked # 4.142 * * * [progress]: localizing error 4.194 * * * [progress]: generating rewritten candidates 4.194 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 4.415 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 4.430 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 4.456 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 4.553 * * * [progress]: generating series expansions 4.553 * * * * [progress]: [ 1 / 4 ] generating series at (2) 4.555 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) 4.555 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in (b a) around 0 4.555 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in a 4.555 * [taylor]: Taking taylor expansion of 0.5 in a 4.555 * [backup-simplify]: Simplify 0.5 into 0.5 4.555 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in a 4.555 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 4.555 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 4.555 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 4.555 * [taylor]: Taking taylor expansion of 1.0 in a 4.555 * [backup-simplify]: Simplify 1.0 into 1.0 4.555 * [taylor]: Taking taylor expansion of (/ 1 a) in a 4.555 * [taylor]: Taking taylor expansion of a in a 4.555 * [backup-simplify]: Simplify 0 into 0 4.555 * [backup-simplify]: Simplify 1 into 1 4.556 * [backup-simplify]: Simplify (/ 1 1) into 1 4.556 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 4.556 * [taylor]: Taking taylor expansion of 1.0 in a 4.556 * [backup-simplify]: Simplify 1.0 into 1.0 4.556 * [taylor]: Taking taylor expansion of (/ 1 b) in a 4.556 * [taylor]: Taking taylor expansion of b in a 4.556 * [backup-simplify]: Simplify b into b 4.556 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 4.556 * [taylor]: Taking taylor expansion of PI in a 4.556 * [backup-simplify]: Simplify PI into PI 4.556 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 4.556 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.556 * [taylor]: Taking taylor expansion of b in a 4.556 * [backup-simplify]: Simplify b into b 4.556 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.556 * [taylor]: Taking taylor expansion of a in a 4.556 * [backup-simplify]: Simplify 0 into 0 4.556 * [backup-simplify]: Simplify 1 into 1 4.557 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.557 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.558 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 4.558 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.558 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 4.559 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 4.559 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 4.559 * [taylor]: Taking taylor expansion of 0.5 in b 4.559 * [backup-simplify]: Simplify 0.5 into 0.5 4.559 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 4.559 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 4.559 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 4.559 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 4.559 * [taylor]: Taking taylor expansion of 1.0 in b 4.559 * [backup-simplify]: Simplify 1.0 into 1.0 4.559 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.559 * [taylor]: Taking taylor expansion of a in b 4.559 * [backup-simplify]: Simplify a into a 4.559 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.559 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 4.559 * [taylor]: Taking taylor expansion of 1.0 in b 4.559 * [backup-simplify]: Simplify 1.0 into 1.0 4.559 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.559 * [taylor]: Taking taylor expansion of b in b 4.559 * [backup-simplify]: Simplify 0 into 0 4.559 * [backup-simplify]: Simplify 1 into 1 4.560 * [backup-simplify]: Simplify (/ 1 1) into 1 4.560 * [taylor]: Taking taylor expansion of PI in b 4.560 * [backup-simplify]: Simplify PI into PI 4.560 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 4.560 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.560 * [taylor]: Taking taylor expansion of b in b 4.560 * [backup-simplify]: Simplify 0 into 0 4.560 * [backup-simplify]: Simplify 1 into 1 4.560 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.560 * [taylor]: Taking taylor expansion of a in b 4.560 * [backup-simplify]: Simplify a into a 4.561 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.562 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.562 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.563 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 4.563 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.564 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 4.564 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 4.564 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 4.565 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 4.565 * [taylor]: Taking taylor expansion of 0.5 in b 4.565 * [backup-simplify]: Simplify 0.5 into 0.5 4.565 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 4.565 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 4.565 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 4.565 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 4.565 * [taylor]: Taking taylor expansion of 1.0 in b 4.565 * [backup-simplify]: Simplify 1.0 into 1.0 4.565 * [taylor]: Taking taylor expansion of (/ 1 a) in b 4.565 * [taylor]: Taking taylor expansion of a in b 4.565 * [backup-simplify]: Simplify a into a 4.565 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 4.565 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 4.565 * [taylor]: Taking taylor expansion of 1.0 in b 4.565 * [backup-simplify]: Simplify 1.0 into 1.0 4.565 * [taylor]: Taking taylor expansion of (/ 1 b) in b 4.565 * [taylor]: Taking taylor expansion of b in b 4.565 * [backup-simplify]: Simplify 0 into 0 4.565 * [backup-simplify]: Simplify 1 into 1 4.565 * [backup-simplify]: Simplify (/ 1 1) into 1 4.565 * [taylor]: Taking taylor expansion of PI in b 4.565 * [backup-simplify]: Simplify PI into PI 4.565 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 4.566 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.566 * [taylor]: Taking taylor expansion of b in b 4.566 * [backup-simplify]: Simplify 0 into 0 4.566 * [backup-simplify]: Simplify 1 into 1 4.566 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.566 * [taylor]: Taking taylor expansion of a in b 4.566 * [backup-simplify]: Simplify a into a 4.566 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 4.566 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.567 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.568 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 4.568 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.568 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 4.568 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 4.569 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 4.569 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 4.569 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 4.569 * [taylor]: Taking taylor expansion of 0.5 in a 4.569 * [backup-simplify]: Simplify 0.5 into 0.5 4.569 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 4.570 * [taylor]: Taking taylor expansion of PI in a 4.570 * [backup-simplify]: Simplify PI into PI 4.570 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.570 * [taylor]: Taking taylor expansion of a in a 4.570 * [backup-simplify]: Simplify 0 into 0 4.570 * [backup-simplify]: Simplify 1 into 1 4.570 * [backup-simplify]: Simplify (* 1 1) into 1 4.570 * [backup-simplify]: Simplify (/ PI 1) into PI 4.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.573 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 4.573 * [backup-simplify]: Simplify 0 into 0 4.573 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 4.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.575 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 4.575 * [backup-simplify]: Simplify (- 0) into 0 4.576 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 4.576 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 4.576 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.577 * [backup-simplify]: Simplify (- 0) into 0 4.577 * [backup-simplify]: Simplify (+ 0 0) into 0 4.578 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) (- (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into (- (* 1.0 (/ PI (pow a 3)))) 4.578 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2))))) into (- (* 0.5 (/ PI (pow a 3)))) 4.579 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 4.579 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 4.579 * [taylor]: Taking taylor expansion of 0.5 in a 4.579 * [backup-simplify]: Simplify 0.5 into 0.5 4.579 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 4.579 * [taylor]: Taking taylor expansion of PI in a 4.579 * [backup-simplify]: Simplify PI into PI 4.579 * [taylor]: Taking taylor expansion of (pow a 3) in a 4.579 * [taylor]: Taking taylor expansion of a in a 4.579 * [backup-simplify]: Simplify 0 into 0 4.579 * [backup-simplify]: Simplify 1 into 1 4.580 * [backup-simplify]: Simplify (* 1 1) into 1 4.580 * [backup-simplify]: Simplify (* 1 1) into 1 4.580 * [backup-simplify]: Simplify (/ PI 1) into PI 4.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 4.588 * [backup-simplify]: Simplify (- 0) into 0 4.588 * [backup-simplify]: Simplify 0 into 0 4.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.594 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.595 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 4.595 * [backup-simplify]: Simplify 0 into 0 4.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 4.596 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 4.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.597 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 4.598 * [backup-simplify]: Simplify (- 0) into 0 4.598 * [backup-simplify]: Simplify (+ 0 0) into 0 4.599 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 4.599 * [backup-simplify]: Simplify (* 1 1) into 1 4.600 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.601 * [backup-simplify]: Simplify (- 0) into 0 4.601 * [backup-simplify]: Simplify (+ 1 0) into 1 4.602 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* (- (* 1.0 (/ PI (pow a 3)))) (/ 0 (- (pow a 2)))))) into (* 1.0 (/ PI (pow a 4))) 4.603 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow a 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2)))))) into (* 0.5 (/ PI (pow a 4))) 4.603 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 4.603 * [taylor]: Taking taylor expansion of 0.5 in a 4.603 * [backup-simplify]: Simplify 0.5 into 0.5 4.603 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 4.603 * [taylor]: Taking taylor expansion of PI in a 4.603 * [backup-simplify]: Simplify PI into PI 4.603 * [taylor]: Taking taylor expansion of (pow a 4) in a 4.603 * [taylor]: Taking taylor expansion of a in a 4.603 * [backup-simplify]: Simplify 0 into 0 4.603 * [backup-simplify]: Simplify 1 into 1 4.603 * [backup-simplify]: Simplify (* 1 1) into 1 4.604 * [backup-simplify]: Simplify (* 1 1) into 1 4.604 * [backup-simplify]: Simplify (/ PI 1) into PI 4.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.614 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.614 * [backup-simplify]: Simplify 0 into 0 4.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.618 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.619 * [backup-simplify]: Simplify (- 0) into 0 4.619 * [backup-simplify]: Simplify 0 into 0 4.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.622 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.622 * [backup-simplify]: Simplify 0 into 0 4.623 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 4.623 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 4.623 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 4.623 * [taylor]: Taking taylor expansion of 0.5 in a 4.623 * [backup-simplify]: Simplify 0.5 into 0.5 4.623 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 4.623 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 4.624 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 4.624 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 4.624 * [taylor]: Taking taylor expansion of 1.0 in a 4.624 * [backup-simplify]: Simplify 1.0 into 1.0 4.624 * [taylor]: Taking taylor expansion of a in a 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 1 into 1 4.624 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 4.624 * [taylor]: Taking taylor expansion of 1.0 in a 4.624 * [backup-simplify]: Simplify 1.0 into 1.0 4.624 * [taylor]: Taking taylor expansion of b in a 4.624 * [backup-simplify]: Simplify b into b 4.624 * [taylor]: Taking taylor expansion of PI in a 4.624 * [backup-simplify]: Simplify PI into PI 4.624 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 4.624 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.624 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.624 * [taylor]: Taking taylor expansion of b in a 4.624 * [backup-simplify]: Simplify b into b 4.624 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.624 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.624 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.624 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.624 * [taylor]: Taking taylor expansion of a in a 4.624 * [backup-simplify]: Simplify 0 into 0 4.624 * [backup-simplify]: Simplify 1 into 1 4.625 * [backup-simplify]: Simplify (* 1 1) into 1 4.626 * [backup-simplify]: Simplify (/ 1 1) into 1 4.626 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.626 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 4.627 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 4.627 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 4.627 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 4.627 * [backup-simplify]: Simplify (- 1) into -1 4.628 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.628 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 4.628 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 4.628 * [taylor]: Taking taylor expansion of 0.5 in b 4.628 * [backup-simplify]: Simplify 0.5 into 0.5 4.628 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.628 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 4.628 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 4.628 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 4.628 * [taylor]: Taking taylor expansion of 1.0 in b 4.628 * [backup-simplify]: Simplify 1.0 into 1.0 4.628 * [taylor]: Taking taylor expansion of a in b 4.628 * [backup-simplify]: Simplify a into a 4.628 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 4.628 * [taylor]: Taking taylor expansion of 1.0 in b 4.628 * [backup-simplify]: Simplify 1.0 into 1.0 4.628 * [taylor]: Taking taylor expansion of b in b 4.628 * [backup-simplify]: Simplify 0 into 0 4.628 * [backup-simplify]: Simplify 1 into 1 4.628 * [taylor]: Taking taylor expansion of PI in b 4.628 * [backup-simplify]: Simplify PI into PI 4.628 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.629 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.629 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.629 * [taylor]: Taking taylor expansion of b in b 4.629 * [backup-simplify]: Simplify 0 into 0 4.629 * [backup-simplify]: Simplify 1 into 1 4.629 * [backup-simplify]: Simplify (* 1 1) into 1 4.629 * [backup-simplify]: Simplify (/ 1 1) into 1 4.629 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.630 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.630 * [taylor]: Taking taylor expansion of a in b 4.630 * [backup-simplify]: Simplify a into a 4.630 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.630 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.630 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 4.630 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.631 * [backup-simplify]: Simplify (- 0) into 0 4.631 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 4.631 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 4.631 * [backup-simplify]: Simplify (+ 1 0) into 1 4.631 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 4.632 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 4.632 * [taylor]: Taking taylor expansion of 0.5 in b 4.632 * [backup-simplify]: Simplify 0.5 into 0.5 4.632 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.632 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 4.632 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 4.632 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 4.632 * [taylor]: Taking taylor expansion of 1.0 in b 4.632 * [backup-simplify]: Simplify 1.0 into 1.0 4.632 * [taylor]: Taking taylor expansion of a in b 4.632 * [backup-simplify]: Simplify a into a 4.632 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 4.632 * [taylor]: Taking taylor expansion of 1.0 in b 4.632 * [backup-simplify]: Simplify 1.0 into 1.0 4.632 * [taylor]: Taking taylor expansion of b in b 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.632 * [taylor]: Taking taylor expansion of PI in b 4.632 * [backup-simplify]: Simplify PI into PI 4.632 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.632 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.632 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.632 * [taylor]: Taking taylor expansion of b in b 4.632 * [backup-simplify]: Simplify 0 into 0 4.632 * [backup-simplify]: Simplify 1 into 1 4.638 * [backup-simplify]: Simplify (* 1 1) into 1 4.639 * [backup-simplify]: Simplify (/ 1 1) into 1 4.639 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.640 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.640 * [taylor]: Taking taylor expansion of a in b 4.640 * [backup-simplify]: Simplify a into a 4.640 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.640 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.640 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 4.641 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.641 * [backup-simplify]: Simplify (- 0) into 0 4.641 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 4.642 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 4.642 * [backup-simplify]: Simplify (+ 1 0) into 1 4.642 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 4.642 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 4.642 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 4.642 * [taylor]: Taking taylor expansion of 0.5 in a 4.642 * [backup-simplify]: Simplify 0.5 into 0.5 4.642 * [taylor]: Taking taylor expansion of (* a PI) in a 4.643 * [taylor]: Taking taylor expansion of a in a 4.643 * [backup-simplify]: Simplify 0 into 0 4.643 * [backup-simplify]: Simplify 1 into 1 4.643 * [taylor]: Taking taylor expansion of PI in a 4.643 * [backup-simplify]: Simplify PI into PI 4.644 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.646 * [backup-simplify]: Simplify (* 0 PI) into 0 4.647 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 4.647 * [backup-simplify]: Simplify 0 into 0 4.648 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 4.649 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.650 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 4.651 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 4.652 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 4.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.654 * [backup-simplify]: Simplify (+ 0 0) into 0 4.657 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 4.659 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 4.659 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 4.659 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 4.659 * [taylor]: Taking taylor expansion of 0.5 in a 4.659 * [backup-simplify]: Simplify 0.5 into 0.5 4.659 * [taylor]: Taking taylor expansion of PI in a 4.659 * [backup-simplify]: Simplify PI into PI 4.660 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 4.661 * [backup-simplify]: Simplify (- 0) into 0 4.661 * [backup-simplify]: Simplify 0 into 0 4.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.664 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.664 * [backup-simplify]: Simplify 0 into 0 4.665 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 4.666 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.667 * [backup-simplify]: Simplify (- 0) into 0 4.667 * [backup-simplify]: Simplify (+ 0 0) into 0 4.668 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 4.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.671 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 4.671 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 4.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 4.674 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 4.674 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 4.674 * [taylor]: Taking taylor expansion of 0.5 in a 4.675 * [backup-simplify]: Simplify 0.5 into 0.5 4.675 * [taylor]: Taking taylor expansion of (/ PI a) in a 4.675 * [taylor]: Taking taylor expansion of PI in a 4.675 * [backup-simplify]: Simplify PI into PI 4.675 * [taylor]: Taking taylor expansion of a in a 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [backup-simplify]: Simplify (/ PI 1) into PI 4.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.680 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.682 * [backup-simplify]: Simplify (- 0) into 0 4.682 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.685 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 4.686 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 4.687 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 4.687 * [taylor]: Taking taylor expansion of 0.5 in a 4.687 * [backup-simplify]: Simplify 0.5 into 0.5 4.687 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 4.687 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 4.687 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 4.687 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 4.687 * [taylor]: Taking taylor expansion of 1.0 in a 4.687 * [backup-simplify]: Simplify 1.0 into 1.0 4.687 * [taylor]: Taking taylor expansion of b in a 4.687 * [backup-simplify]: Simplify b into b 4.687 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 4.687 * [taylor]: Taking taylor expansion of 1.0 in a 4.687 * [backup-simplify]: Simplify 1.0 into 1.0 4.687 * [taylor]: Taking taylor expansion of a in a 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 1 into 1 4.687 * [taylor]: Taking taylor expansion of PI in a 4.687 * [backup-simplify]: Simplify PI into PI 4.687 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.687 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.687 * [taylor]: Taking taylor expansion of b in a 4.687 * [backup-simplify]: Simplify b into b 4.687 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.687 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.687 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.687 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.687 * [taylor]: Taking taylor expansion of a in a 4.687 * [backup-simplify]: Simplify 0 into 0 4.688 * [backup-simplify]: Simplify 1 into 1 4.688 * [backup-simplify]: Simplify (* 1 1) into 1 4.688 * [backup-simplify]: Simplify (/ 1 1) into 1 4.688 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 4.689 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.689 * [backup-simplify]: Simplify (- 0) into 0 4.689 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 4.689 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 4.690 * [backup-simplify]: Simplify (- 1) into -1 4.690 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.690 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) -1) into (* -1.0 (* b PI)) 4.691 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 4.691 * [taylor]: Taking taylor expansion of 0.5 in b 4.691 * [backup-simplify]: Simplify 0.5 into 0.5 4.691 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.691 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 4.691 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 4.691 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 4.691 * [taylor]: Taking taylor expansion of 1.0 in b 4.691 * [backup-simplify]: Simplify 1.0 into 1.0 4.691 * [taylor]: Taking taylor expansion of b in b 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify 1 into 1 4.691 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 4.691 * [taylor]: Taking taylor expansion of 1.0 in b 4.691 * [backup-simplify]: Simplify 1.0 into 1.0 4.691 * [taylor]: Taking taylor expansion of a in b 4.691 * [backup-simplify]: Simplify a into a 4.691 * [taylor]: Taking taylor expansion of PI in b 4.691 * [backup-simplify]: Simplify PI into PI 4.691 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.691 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.691 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.691 * [taylor]: Taking taylor expansion of b in b 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify 1 into 1 4.692 * [backup-simplify]: Simplify (* 1 1) into 1 4.692 * [backup-simplify]: Simplify (/ 1 1) into 1 4.692 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.692 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.692 * [taylor]: Taking taylor expansion of a in b 4.692 * [backup-simplify]: Simplify a into a 4.692 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.693 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.693 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.693 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 4.693 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 4.693 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 4.693 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 4.694 * [backup-simplify]: Simplify (+ 1 0) into 1 4.694 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 4.694 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 4.694 * [taylor]: Taking taylor expansion of 0.5 in b 4.694 * [backup-simplify]: Simplify 0.5 into 0.5 4.694 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.694 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 4.694 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 4.694 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 4.694 * [taylor]: Taking taylor expansion of 1.0 in b 4.694 * [backup-simplify]: Simplify 1.0 into 1.0 4.694 * [taylor]: Taking taylor expansion of b in b 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 1 into 1 4.694 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 4.694 * [taylor]: Taking taylor expansion of 1.0 in b 4.694 * [backup-simplify]: Simplify 1.0 into 1.0 4.694 * [taylor]: Taking taylor expansion of a in b 4.694 * [backup-simplify]: Simplify a into a 4.694 * [taylor]: Taking taylor expansion of PI in b 4.694 * [backup-simplify]: Simplify PI into PI 4.695 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.695 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.695 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.695 * [taylor]: Taking taylor expansion of b in b 4.695 * [backup-simplify]: Simplify 0 into 0 4.695 * [backup-simplify]: Simplify 1 into 1 4.695 * [backup-simplify]: Simplify (* 1 1) into 1 4.695 * [backup-simplify]: Simplify (/ 1 1) into 1 4.696 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.696 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.696 * [taylor]: Taking taylor expansion of a in b 4.696 * [backup-simplify]: Simplify a into a 4.696 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.696 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.696 * [backup-simplify]: Simplify (* 1.0 0) into 0 4.696 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 4.697 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 4.697 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 4.697 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 4.697 * [backup-simplify]: Simplify (+ 1 0) into 1 4.697 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 4.698 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (* a PI))) into (* -0.5 (* a PI)) 4.698 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 4.698 * [taylor]: Taking taylor expansion of -0.5 in a 4.698 * [backup-simplify]: Simplify -0.5 into -0.5 4.698 * [taylor]: Taking taylor expansion of (* a PI) in a 4.698 * [taylor]: Taking taylor expansion of a in a 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [taylor]: Taking taylor expansion of PI in a 4.698 * [backup-simplify]: Simplify PI into PI 4.699 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 4.701 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 4.702 * [backup-simplify]: Simplify (* 0 PI) into 0 4.703 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 4.703 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 4.705 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 4.706 * [backup-simplify]: Simplify (- 0) into 0 4.706 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 4.706 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 4.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.708 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)))) into (* 1.0 PI) 4.710 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 PI)) (* 0 (* -1.0 (* a PI)))) into (* 0.5 PI) 4.710 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 4.710 * [taylor]: Taking taylor expansion of 0.5 in a 4.710 * [backup-simplify]: Simplify 0.5 into 0.5 4.710 * [taylor]: Taking taylor expansion of PI in a 4.710 * [backup-simplify]: Simplify PI into PI 4.710 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 4.712 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 4.713 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 4.713 * [backup-simplify]: Simplify (- 0) into 0 4.713 * [backup-simplify]: Simplify (+ 0 0) into 0 4.714 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 4.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.716 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 4.716 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 4.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (* 1.0 PI) (/ 0 1)))) into (- (* 1.0 (/ PI a))) 4.720 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI a)))) (+ (* 0 (* 1.0 PI)) (* 0 (* -1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 4.720 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 4.721 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 4.721 * [taylor]: Taking taylor expansion of 0.5 in a 4.721 * [backup-simplify]: Simplify 0.5 into 0.5 4.721 * [taylor]: Taking taylor expansion of (/ PI a) in a 4.721 * [taylor]: Taking taylor expansion of PI in a 4.721 * [backup-simplify]: Simplify PI into PI 4.721 * [taylor]: Taking taylor expansion of a in a 4.721 * [backup-simplify]: Simplify 0 into 0 4.721 * [backup-simplify]: Simplify 1 into 1 4.723 * [backup-simplify]: Simplify (/ PI 1) into PI 4.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.726 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.729 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.730 * [backup-simplify]: Simplify (- 0) into 0 4.730 * [backup-simplify]: Simplify 0 into 0 4.731 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.731 * [backup-simplify]: Simplify 0 into 0 4.733 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.735 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify 0 into 0 4.735 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 4.736 * [backup-simplify]: Simplify (- (* b b) (* a a)) into (- (pow b 2) (pow a 2)) 4.736 * [approximate]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in (b a) around 0 4.736 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 4.736 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.736 * [taylor]: Taking taylor expansion of b in a 4.736 * [backup-simplify]: Simplify b into b 4.736 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.736 * [taylor]: Taking taylor expansion of a in a 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 1 into 1 4.736 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 4.736 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.736 * [taylor]: Taking taylor expansion of b in b 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 1 into 1 4.736 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.736 * [taylor]: Taking taylor expansion of a in b 4.736 * [backup-simplify]: Simplify a into a 4.736 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 4.736 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.736 * [taylor]: Taking taylor expansion of b in b 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 1 into 1 4.736 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.736 * [taylor]: Taking taylor expansion of a in b 4.736 * [backup-simplify]: Simplify a into a 4.736 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.737 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 4.737 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 4.737 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 4.737 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.737 * [taylor]: Taking taylor expansion of a in a 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.738 * [backup-simplify]: Simplify (- 0) into 0 4.738 * [backup-simplify]: Simplify (+ 0 0) into 0 4.738 * [taylor]: Taking taylor expansion of 0 in a 4.738 * [backup-simplify]: Simplify 0 into 0 4.738 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify (* 1 1) into 1 4.739 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.739 * [backup-simplify]: Simplify (- 0) into 0 4.740 * [backup-simplify]: Simplify (+ 1 0) into 1 4.740 * [taylor]: Taking taylor expansion of 1 in a 4.740 * [backup-simplify]: Simplify 1 into 1 4.740 * [backup-simplify]: Simplify 1 into 1 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify (* 1 1) into 1 4.740 * [backup-simplify]: Simplify (- 1) into -1 4.740 * [backup-simplify]: Simplify -1 into -1 4.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.741 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 4.742 * [backup-simplify]: Simplify (- 0) into 0 4.742 * [backup-simplify]: Simplify (+ 0 0) into 0 4.742 * [taylor]: Taking taylor expansion of 0 in a 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.742 * [backup-simplify]: Simplify (- 0) into 0 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.744 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 4.744 * [backup-simplify]: Simplify (- 0) into 0 4.744 * [backup-simplify]: Simplify (+ 0 0) into 0 4.744 * [taylor]: Taking taylor expansion of 0 in a 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify (+ (* -1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) 4.745 * [backup-simplify]: Simplify (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 4.745 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 4.745 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 4.745 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.745 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.745 * [taylor]: Taking taylor expansion of b in a 4.745 * [backup-simplify]: Simplify b into b 4.745 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.746 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.746 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.746 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.746 * [taylor]: Taking taylor expansion of a in a 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 1 into 1 4.746 * [backup-simplify]: Simplify (* 1 1) into 1 4.746 * [backup-simplify]: Simplify (/ 1 1) into 1 4.747 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.747 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.747 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.747 * [taylor]: Taking taylor expansion of b in b 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [backup-simplify]: Simplify (* 1 1) into 1 4.747 * [backup-simplify]: Simplify (/ 1 1) into 1 4.747 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.747 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.747 * [taylor]: Taking taylor expansion of a in b 4.748 * [backup-simplify]: Simplify a into a 4.748 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.748 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.748 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.748 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.748 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.748 * [taylor]: Taking taylor expansion of b in b 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 1 into 1 4.748 * [backup-simplify]: Simplify (* 1 1) into 1 4.749 * [backup-simplify]: Simplify (/ 1 1) into 1 4.749 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.749 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.749 * [taylor]: Taking taylor expansion of a in b 4.749 * [backup-simplify]: Simplify a into a 4.749 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.749 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.750 * [backup-simplify]: Simplify (+ 1 0) into 1 4.750 * [taylor]: Taking taylor expansion of 1 in a 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.751 * [backup-simplify]: Simplify (+ 0 0) into 0 4.751 * [taylor]: Taking taylor expansion of 0 in a 4.751 * [backup-simplify]: Simplify 0 into 0 4.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.754 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 4.754 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 4.754 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 4.754 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.754 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.754 * [taylor]: Taking taylor expansion of a in a 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (* 1 1) into 1 4.755 * [backup-simplify]: Simplify (/ 1 1) into 1 4.755 * [backup-simplify]: Simplify (- 1) into -1 4.755 * [backup-simplify]: Simplify -1 into -1 4.755 * [backup-simplify]: Simplify 1 into 1 4.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.757 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.758 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 4.758 * [backup-simplify]: Simplify (- 0) into 0 4.758 * [backup-simplify]: Simplify (+ 0 0) into 0 4.758 * [taylor]: Taking taylor expansion of 0 in a 4.758 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.760 * [backup-simplify]: Simplify (- 0) into 0 4.760 * [backup-simplify]: Simplify 0 into 0 4.760 * [backup-simplify]: Simplify 0 into 0 4.760 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.763 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.764 * [backup-simplify]: Simplify (- 0) into 0 4.764 * [backup-simplify]: Simplify (+ 0 0) into 0 4.765 * [taylor]: Taking taylor expansion of 0 in a 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.767 * [backup-simplify]: Simplify (- 0) into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.767 * [backup-simplify]: Simplify 0 into 0 4.768 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) 4.768 * [backup-simplify]: Simplify (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 4.769 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 4.769 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 4.769 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.769 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.769 * [taylor]: Taking taylor expansion of b in a 4.769 * [backup-simplify]: Simplify b into b 4.769 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.769 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.769 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.769 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.769 * [taylor]: Taking taylor expansion of a in a 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [backup-simplify]: Simplify 1 into 1 4.770 * [backup-simplify]: Simplify (* 1 1) into 1 4.771 * [backup-simplify]: Simplify (/ 1 1) into 1 4.771 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.771 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.771 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.771 * [taylor]: Taking taylor expansion of b in b 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify 1 into 1 4.772 * [backup-simplify]: Simplify (* 1 1) into 1 4.772 * [backup-simplify]: Simplify (/ 1 1) into 1 4.772 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.772 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.772 * [taylor]: Taking taylor expansion of a in b 4.772 * [backup-simplify]: Simplify a into a 4.773 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.773 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.773 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.773 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.773 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.773 * [taylor]: Taking taylor expansion of b in b 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 1 into 1 4.773 * [backup-simplify]: Simplify (* 1 1) into 1 4.774 * [backup-simplify]: Simplify (/ 1 1) into 1 4.774 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.774 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.774 * [taylor]: Taking taylor expansion of a in b 4.774 * [backup-simplify]: Simplify a into a 4.774 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.774 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.775 * [backup-simplify]: Simplify (+ 1 0) into 1 4.775 * [taylor]: Taking taylor expansion of 1 in a 4.775 * [backup-simplify]: Simplify 1 into 1 4.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.777 * [backup-simplify]: Simplify (+ 0 0) into 0 4.778 * [taylor]: Taking taylor expansion of 0 in a 4.778 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.780 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 4.780 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 4.780 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 4.780 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.781 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.781 * [taylor]: Taking taylor expansion of a in a 4.781 * [backup-simplify]: Simplify 0 into 0 4.781 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (* 1 1) into 1 4.782 * [backup-simplify]: Simplify (/ 1 1) into 1 4.782 * [backup-simplify]: Simplify (- 1) into -1 4.782 * [backup-simplify]: Simplify -1 into -1 4.782 * [backup-simplify]: Simplify 1 into 1 4.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.785 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 4.786 * [backup-simplify]: Simplify (- 0) into 0 4.786 * [backup-simplify]: Simplify (+ 0 0) into 0 4.786 * [taylor]: Taking taylor expansion of 0 in a 4.786 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.788 * [backup-simplify]: Simplify (- 0) into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.788 * [backup-simplify]: Simplify 0 into 0 4.789 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.792 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 4.793 * [backup-simplify]: Simplify (- 0) into 0 4.793 * [backup-simplify]: Simplify (+ 0 0) into 0 4.793 * [taylor]: Taking taylor expansion of 0 in a 4.793 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.796 * [backup-simplify]: Simplify (- 0) into 0 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 0 into 0 4.796 * [backup-simplify]: Simplify 0 into 0 4.797 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) 4.797 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 4.797 * [backup-simplify]: Simplify (/ 1.0 (- (* b b) (* a a))) into (/ 1.0 (- (pow b 2) (pow a 2))) 4.797 * [approximate]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in (b a) around 0 4.797 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in a 4.797 * [taylor]: Taking taylor expansion of 1.0 in a 4.797 * [backup-simplify]: Simplify 1.0 into 1.0 4.797 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 4.797 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.797 * [taylor]: Taking taylor expansion of b in a 4.798 * [backup-simplify]: Simplify b into b 4.798 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.798 * [taylor]: Taking taylor expansion of a in a 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.798 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.798 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 4.798 * [backup-simplify]: Simplify (/ 1.0 (pow b 2)) into (/ 1.0 (pow b 2)) 4.798 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 4.798 * [taylor]: Taking taylor expansion of 1.0 in b 4.798 * [backup-simplify]: Simplify 1.0 into 1.0 4.798 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 4.798 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.798 * [taylor]: Taking taylor expansion of b in b 4.798 * [backup-simplify]: Simplify 0 into 0 4.798 * [backup-simplify]: Simplify 1 into 1 4.798 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.798 * [taylor]: Taking taylor expansion of a in b 4.798 * [backup-simplify]: Simplify a into a 4.798 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.799 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 4.799 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 4.799 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 4.799 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 4.799 * [taylor]: Taking taylor expansion of 1.0 in b 4.799 * [backup-simplify]: Simplify 1.0 into 1.0 4.799 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 4.799 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.799 * [taylor]: Taking taylor expansion of b in b 4.799 * [backup-simplify]: Simplify 0 into 0 4.799 * [backup-simplify]: Simplify 1 into 1 4.799 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.799 * [taylor]: Taking taylor expansion of a in b 4.799 * [backup-simplify]: Simplify a into a 4.799 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.800 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 4.800 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 4.800 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 4.800 * [taylor]: Taking taylor expansion of (/ -1.0 (pow a 2)) in a 4.800 * [taylor]: Taking taylor expansion of -1.0 in a 4.800 * [backup-simplify]: Simplify -1.0 into -1.0 4.800 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.800 * [taylor]: Taking taylor expansion of a in a 4.800 * [backup-simplify]: Simplify 0 into 0 4.800 * [backup-simplify]: Simplify 1 into 1 4.801 * [backup-simplify]: Simplify (* 1 1) into 1 4.802 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 4.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 4.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.807 * [backup-simplify]: Simplify (- 0) into 0 4.807 * [backup-simplify]: Simplify (+ 0 0) into 0 4.808 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 0 (- (pow a 2)))))) into 0 4.808 * [taylor]: Taking taylor expansion of 0 in a 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.816 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify (* 1 1) into 1 4.817 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.818 * [backup-simplify]: Simplify (- 0) into 0 4.818 * [backup-simplify]: Simplify (+ 1 0) into 1 4.819 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 1 (- (pow a 2)))) (* 0 (/ 0 (- (pow a 2)))))) into (- (* 1.0 (/ 1 (pow a 4)))) 4.819 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 4)))) in a 4.819 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 4))) in a 4.819 * [taylor]: Taking taylor expansion of 1.0 in a 4.819 * [backup-simplify]: Simplify 1.0 into 1.0 4.819 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 4.819 * [taylor]: Taking taylor expansion of (pow a 4) in a 4.819 * [taylor]: Taking taylor expansion of a in a 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.820 * [backup-simplify]: Simplify (* 1 1) into 1 4.820 * [backup-simplify]: Simplify (* 1 1) into 1 4.821 * [backup-simplify]: Simplify (/ 1 1) into 1 4.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.835 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.836 * [backup-simplify]: Simplify (- 0) into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.836 * [backup-simplify]: Simplify 0 into 0 4.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.840 * [backup-simplify]: Simplify 0 into 0 4.841 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 4.841 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 4.841 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 4.841 * [taylor]: Taking taylor expansion of 1.0 in a 4.841 * [backup-simplify]: Simplify 1.0 into 1.0 4.841 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 4.841 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.841 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.841 * [taylor]: Taking taylor expansion of b in a 4.841 * [backup-simplify]: Simplify b into b 4.841 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.842 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.842 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.842 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.842 * [taylor]: Taking taylor expansion of a in a 4.842 * [backup-simplify]: Simplify 0 into 0 4.842 * [backup-simplify]: Simplify 1 into 1 4.843 * [backup-simplify]: Simplify (* 1 1) into 1 4.843 * [backup-simplify]: Simplify (/ 1 1) into 1 4.844 * [backup-simplify]: Simplify (- 1) into -1 4.844 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.845 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 4.845 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.845 * [taylor]: Taking taylor expansion of 1.0 in b 4.845 * [backup-simplify]: Simplify 1.0 into 1.0 4.845 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.845 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.845 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.845 * [taylor]: Taking taylor expansion of b in b 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 1 into 1 4.846 * [backup-simplify]: Simplify (* 1 1) into 1 4.846 * [backup-simplify]: Simplify (/ 1 1) into 1 4.847 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.847 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.847 * [taylor]: Taking taylor expansion of a in b 4.847 * [backup-simplify]: Simplify a into a 4.847 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.847 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.848 * [backup-simplify]: Simplify (+ 1 0) into 1 4.848 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.848 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.848 * [taylor]: Taking taylor expansion of 1.0 in b 4.848 * [backup-simplify]: Simplify 1.0 into 1.0 4.848 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.848 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.848 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.848 * [taylor]: Taking taylor expansion of b in b 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.849 * [backup-simplify]: Simplify (* 1 1) into 1 4.849 * [backup-simplify]: Simplify (/ 1 1) into 1 4.849 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.849 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.849 * [taylor]: Taking taylor expansion of a in b 4.849 * [backup-simplify]: Simplify a into a 4.849 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.849 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.850 * [backup-simplify]: Simplify (+ 1 0) into 1 4.850 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.850 * [taylor]: Taking taylor expansion of 1.0 in a 4.850 * [backup-simplify]: Simplify 1.0 into 1.0 4.850 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.852 * [backup-simplify]: Simplify (+ 0 0) into 0 4.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 4.852 * [taylor]: Taking taylor expansion of 0 in a 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.854 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 4.854 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 4.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 4.855 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 4.855 * [taylor]: Taking taylor expansion of 1.0 in a 4.855 * [backup-simplify]: Simplify 1.0 into 1.0 4.855 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.855 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.855 * [taylor]: Taking taylor expansion of a in a 4.855 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify 1 into 1 4.856 * [backup-simplify]: Simplify (* 1 1) into 1 4.856 * [backup-simplify]: Simplify (/ 1 1) into 1 4.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.865 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.865 * [backup-simplify]: Simplify 0 into 0 4.866 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 4.866 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 4.866 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 4.866 * [taylor]: Taking taylor expansion of 1.0 in a 4.866 * [backup-simplify]: Simplify 1.0 into 1.0 4.866 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 4.866 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.866 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.866 * [taylor]: Taking taylor expansion of b in a 4.866 * [backup-simplify]: Simplify b into b 4.866 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.866 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.867 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.867 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.867 * [taylor]: Taking taylor expansion of a in a 4.867 * [backup-simplify]: Simplify 0 into 0 4.867 * [backup-simplify]: Simplify 1 into 1 4.867 * [backup-simplify]: Simplify (* 1 1) into 1 4.867 * [backup-simplify]: Simplify (/ 1 1) into 1 4.868 * [backup-simplify]: Simplify (- 1) into -1 4.868 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.869 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 4.869 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.869 * [taylor]: Taking taylor expansion of 1.0 in b 4.869 * [backup-simplify]: Simplify 1.0 into 1.0 4.869 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.869 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.869 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.869 * [taylor]: Taking taylor expansion of b in b 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 1 into 1 4.869 * [backup-simplify]: Simplify (* 1 1) into 1 4.870 * [backup-simplify]: Simplify (/ 1 1) into 1 4.870 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.870 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.870 * [taylor]: Taking taylor expansion of a in b 4.870 * [backup-simplify]: Simplify a into a 4.870 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.870 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.871 * [backup-simplify]: Simplify (+ 1 0) into 1 4.871 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.871 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.871 * [taylor]: Taking taylor expansion of 1.0 in b 4.871 * [backup-simplify]: Simplify 1.0 into 1.0 4.871 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.871 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.871 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.871 * [taylor]: Taking taylor expansion of b in b 4.871 * [backup-simplify]: Simplify 0 into 0 4.871 * [backup-simplify]: Simplify 1 into 1 4.872 * [backup-simplify]: Simplify (* 1 1) into 1 4.872 * [backup-simplify]: Simplify (/ 1 1) into 1 4.872 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.872 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.872 * [taylor]: Taking taylor expansion of a in b 4.872 * [backup-simplify]: Simplify a into a 4.872 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.873 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.873 * [backup-simplify]: Simplify (+ 1 0) into 1 4.873 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 4.874 * [taylor]: Taking taylor expansion of 1.0 in a 4.874 * [backup-simplify]: Simplify 1.0 into 1.0 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.875 * [backup-simplify]: Simplify (+ 0 0) into 0 4.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 4.876 * [taylor]: Taking taylor expansion of 0 in a 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.876 * [backup-simplify]: Simplify 0 into 0 4.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.879 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 4.879 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 4.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 4.880 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 4.881 * [taylor]: Taking taylor expansion of 1.0 in a 4.881 * [backup-simplify]: Simplify 1.0 into 1.0 4.881 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.881 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.881 * [taylor]: Taking taylor expansion of a in a 4.881 * [backup-simplify]: Simplify 0 into 0 4.881 * [backup-simplify]: Simplify 1 into 1 4.881 * [backup-simplify]: Simplify (* 1 1) into 1 4.882 * [backup-simplify]: Simplify (/ 1 1) into 1 4.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.889 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.889 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * [backup-simplify]: Simplify 0 into 0 4.890 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 4.890 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) into (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) 4.890 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in (b a) around 0 4.891 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in a 4.891 * [taylor]: Taking taylor expansion of 0.5 in a 4.891 * [backup-simplify]: Simplify 0.5 into 0.5 4.891 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in a 4.891 * [taylor]: Taking taylor expansion of PI in a 4.891 * [backup-simplify]: Simplify PI into PI 4.891 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 4.891 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.891 * [taylor]: Taking taylor expansion of b in a 4.891 * [backup-simplify]: Simplify b into b 4.891 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.891 * [taylor]: Taking taylor expansion of a in a 4.891 * [backup-simplify]: Simplify 0 into 0 4.891 * [backup-simplify]: Simplify 1 into 1 4.891 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.891 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 4.891 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 4.891 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 4.891 * [taylor]: Taking taylor expansion of 0.5 in b 4.891 * [backup-simplify]: Simplify 0.5 into 0.5 4.891 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 4.891 * [taylor]: Taking taylor expansion of PI in b 4.891 * [backup-simplify]: Simplify PI into PI 4.892 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 4.892 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.892 * [taylor]: Taking taylor expansion of b in b 4.892 * [backup-simplify]: Simplify 0 into 0 4.892 * [backup-simplify]: Simplify 1 into 1 4.892 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.892 * [taylor]: Taking taylor expansion of a in b 4.892 * [backup-simplify]: Simplify a into a 4.892 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.892 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 4.892 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 4.892 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 4.892 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 4.892 * [taylor]: Taking taylor expansion of 0.5 in b 4.892 * [backup-simplify]: Simplify 0.5 into 0.5 4.893 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 4.893 * [taylor]: Taking taylor expansion of PI in b 4.893 * [backup-simplify]: Simplify PI into PI 4.893 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 4.893 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.893 * [taylor]: Taking taylor expansion of b in b 4.893 * [backup-simplify]: Simplify 0 into 0 4.893 * [backup-simplify]: Simplify 1 into 1 4.893 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.893 * [taylor]: Taking taylor expansion of a in b 4.893 * [backup-simplify]: Simplify a into a 4.893 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.893 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 4.893 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 4.893 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 4.894 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI (pow a 2)))) into (* -0.5 (/ PI (pow a 2))) 4.894 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 4.894 * [taylor]: Taking taylor expansion of -0.5 in a 4.894 * [backup-simplify]: Simplify -0.5 into -0.5 4.894 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 4.894 * [taylor]: Taking taylor expansion of PI in a 4.894 * [backup-simplify]: Simplify PI into PI 4.894 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.894 * [taylor]: Taking taylor expansion of a in a 4.894 * [backup-simplify]: Simplify 0 into 0 4.894 * [backup-simplify]: Simplify 1 into 1 4.894 * [backup-simplify]: Simplify (* 1 1) into 1 4.895 * [backup-simplify]: Simplify (/ PI 1) into PI 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.900 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 4.900 * [backup-simplify]: Simplify 0 into 0 4.900 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 4.901 * [backup-simplify]: Simplify (- 0) into 0 4.902 * [backup-simplify]: Simplify (+ 0 0) into 0 4.903 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into 0 4.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (/ PI (pow a 2))))) into 0 4.904 * [taylor]: Taking taylor expansion of 0 in a 4.904 * [backup-simplify]: Simplify 0 into 0 4.904 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.908 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.908 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify (* 1 1) into 1 4.909 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 4.910 * [backup-simplify]: Simplify (- 0) into 0 4.910 * [backup-simplify]: Simplify (+ 1 0) into 1 4.911 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* 0 (/ 0 (- (pow a 2)))))) into (- (/ PI (pow a 4))) 4.912 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 4)))) (+ (* 0 0) (* 0 (* -1 (/ PI (pow a 2)))))) into (- (* 0.5 (/ PI (pow a 4)))) 4.912 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 4)))) in a 4.912 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 4.912 * [taylor]: Taking taylor expansion of 0.5 in a 4.912 * [backup-simplify]: Simplify 0.5 into 0.5 4.912 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 4.912 * [taylor]: Taking taylor expansion of PI in a 4.912 * [backup-simplify]: Simplify PI into PI 4.912 * [taylor]: Taking taylor expansion of (pow a 4) in a 4.912 * [taylor]: Taking taylor expansion of a in a 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify 1 into 1 4.912 * [backup-simplify]: Simplify (* 1 1) into 1 4.913 * [backup-simplify]: Simplify (* 1 1) into 1 4.913 * [backup-simplify]: Simplify (/ PI 1) into PI 4.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.925 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.925 * [backup-simplify]: Simplify (- 0) into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.926 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.930 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.931 * [backup-simplify]: Simplify 0 into 0 4.931 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) into (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 4.932 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 4.932 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 4.932 * [taylor]: Taking taylor expansion of 0.5 in a 4.932 * [backup-simplify]: Simplify 0.5 into 0.5 4.932 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 4.932 * [taylor]: Taking taylor expansion of PI in a 4.932 * [backup-simplify]: Simplify PI into PI 4.932 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 4.932 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.932 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.932 * [taylor]: Taking taylor expansion of b in a 4.932 * [backup-simplify]: Simplify b into b 4.932 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.932 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.932 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.932 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.932 * [taylor]: Taking taylor expansion of a in a 4.932 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify 1 into 1 4.933 * [backup-simplify]: Simplify (* 1 1) into 1 4.933 * [backup-simplify]: Simplify (/ 1 1) into 1 4.934 * [backup-simplify]: Simplify (- 1) into -1 4.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.935 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 4.935 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 4.935 * [taylor]: Taking taylor expansion of 0.5 in b 4.935 * [backup-simplify]: Simplify 0.5 into 0.5 4.935 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.936 * [taylor]: Taking taylor expansion of PI in b 4.936 * [backup-simplify]: Simplify PI into PI 4.936 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.936 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.936 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.936 * [taylor]: Taking taylor expansion of b in b 4.936 * [backup-simplify]: Simplify 0 into 0 4.936 * [backup-simplify]: Simplify 1 into 1 4.936 * [backup-simplify]: Simplify (* 1 1) into 1 4.937 * [backup-simplify]: Simplify (/ 1 1) into 1 4.937 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.937 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.937 * [taylor]: Taking taylor expansion of a in b 4.937 * [backup-simplify]: Simplify a into a 4.937 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.938 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.938 * [backup-simplify]: Simplify (+ 1 0) into 1 4.939 * [backup-simplify]: Simplify (/ PI 1) into PI 4.939 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 4.939 * [taylor]: Taking taylor expansion of 0.5 in b 4.939 * [backup-simplify]: Simplify 0.5 into 0.5 4.939 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.939 * [taylor]: Taking taylor expansion of PI in b 4.939 * [backup-simplify]: Simplify PI into PI 4.939 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.939 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.939 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.939 * [taylor]: Taking taylor expansion of b in b 4.939 * [backup-simplify]: Simplify 0 into 0 4.939 * [backup-simplify]: Simplify 1 into 1 4.939 * [backup-simplify]: Simplify (* 1 1) into 1 4.940 * [backup-simplify]: Simplify (/ 1 1) into 1 4.940 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.940 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.940 * [taylor]: Taking taylor expansion of a in b 4.940 * [backup-simplify]: Simplify a into a 4.940 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.940 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.940 * [backup-simplify]: Simplify (+ 1 0) into 1 4.941 * [backup-simplify]: Simplify (/ PI 1) into PI 4.941 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 4.942 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 4.942 * [taylor]: Taking taylor expansion of 0.5 in a 4.942 * [backup-simplify]: Simplify 0.5 into 0.5 4.942 * [taylor]: Taking taylor expansion of PI in a 4.942 * [backup-simplify]: Simplify PI into PI 4.943 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 4.943 * [backup-simplify]: Simplify 0 into 0 4.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.945 * [backup-simplify]: Simplify (+ 0 0) into 0 4.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.947 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 4.947 * [taylor]: Taking taylor expansion of 0 in a 4.947 * [backup-simplify]: Simplify 0 into 0 4.947 * [backup-simplify]: Simplify 0 into 0 4.948 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.948 * [backup-simplify]: Simplify 0 into 0 4.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.950 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 4.951 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 4.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 4.952 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 4.952 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 4.952 * [taylor]: Taking taylor expansion of 0.5 in a 4.952 * [backup-simplify]: Simplify 0.5 into 0.5 4.952 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 4.952 * [taylor]: Taking taylor expansion of PI in a 4.952 * [backup-simplify]: Simplify PI into PI 4.953 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.953 * [taylor]: Taking taylor expansion of a in a 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 1 into 1 4.953 * [backup-simplify]: Simplify (* 1 1) into 1 4.953 * [backup-simplify]: Simplify (/ PI 1) into PI 4.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.963 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.964 * [backup-simplify]: Simplify 0 into 0 4.964 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 4.966 * [backup-simplify]: Simplify 0 into 0 4.966 * [backup-simplify]: Simplify 0 into 0 4.967 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) into (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 4.967 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 4.967 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 4.967 * [taylor]: Taking taylor expansion of 0.5 in a 4.967 * [backup-simplify]: Simplify 0.5 into 0.5 4.967 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 4.967 * [taylor]: Taking taylor expansion of PI in a 4.967 * [backup-simplify]: Simplify PI into PI 4.967 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 4.967 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 4.967 * [taylor]: Taking taylor expansion of (pow b 2) in a 4.967 * [taylor]: Taking taylor expansion of b in a 4.967 * [backup-simplify]: Simplify b into b 4.967 * [backup-simplify]: Simplify (* b b) into (pow b 2) 4.968 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 4.968 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 4.968 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.968 * [taylor]: Taking taylor expansion of a in a 4.968 * [backup-simplify]: Simplify 0 into 0 4.968 * [backup-simplify]: Simplify 1 into 1 4.968 * [backup-simplify]: Simplify (* 1 1) into 1 4.969 * [backup-simplify]: Simplify (/ 1 1) into 1 4.969 * [backup-simplify]: Simplify (- 1) into -1 4.970 * [backup-simplify]: Simplify (+ 0 -1) into -1 4.970 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 4.970 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 4.970 * [taylor]: Taking taylor expansion of 0.5 in b 4.970 * [backup-simplify]: Simplify 0.5 into 0.5 4.970 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.970 * [taylor]: Taking taylor expansion of PI in b 4.970 * [backup-simplify]: Simplify PI into PI 4.970 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.970 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.970 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.971 * [taylor]: Taking taylor expansion of b in b 4.971 * [backup-simplify]: Simplify 0 into 0 4.971 * [backup-simplify]: Simplify 1 into 1 4.971 * [backup-simplify]: Simplify (* 1 1) into 1 4.971 * [backup-simplify]: Simplify (/ 1 1) into 1 4.971 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.971 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.971 * [taylor]: Taking taylor expansion of a in b 4.971 * [backup-simplify]: Simplify a into a 4.972 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.972 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.972 * [backup-simplify]: Simplify (+ 1 0) into 1 4.973 * [backup-simplify]: Simplify (/ PI 1) into PI 4.973 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 4.973 * [taylor]: Taking taylor expansion of 0.5 in b 4.973 * [backup-simplify]: Simplify 0.5 into 0.5 4.973 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 4.973 * [taylor]: Taking taylor expansion of PI in b 4.973 * [backup-simplify]: Simplify PI into PI 4.973 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 4.973 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 4.973 * [taylor]: Taking taylor expansion of (pow b 2) in b 4.973 * [taylor]: Taking taylor expansion of b in b 4.973 * [backup-simplify]: Simplify 0 into 0 4.973 * [backup-simplify]: Simplify 1 into 1 4.974 * [backup-simplify]: Simplify (* 1 1) into 1 4.974 * [backup-simplify]: Simplify (/ 1 1) into 1 4.974 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 4.974 * [taylor]: Taking taylor expansion of (pow a 2) in b 4.974 * [taylor]: Taking taylor expansion of a in b 4.974 * [backup-simplify]: Simplify a into a 4.974 * [backup-simplify]: Simplify (* a a) into (pow a 2) 4.974 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 4.975 * [backup-simplify]: Simplify (+ 1 0) into 1 4.975 * [backup-simplify]: Simplify (/ PI 1) into PI 4.976 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 4.976 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 4.976 * [taylor]: Taking taylor expansion of 0.5 in a 4.976 * [backup-simplify]: Simplify 0.5 into 0.5 4.976 * [taylor]: Taking taylor expansion of PI in a 4.976 * [backup-simplify]: Simplify PI into PI 4.977 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 4.977 * [backup-simplify]: Simplify 0 into 0 4.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.980 * [backup-simplify]: Simplify (+ 0 0) into 0 4.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.986 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 4.987 * [taylor]: Taking taylor expansion of 0 in a 4.987 * [backup-simplify]: Simplify 0 into 0 4.987 * [backup-simplify]: Simplify 0 into 0 4.988 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 4.988 * [backup-simplify]: Simplify 0 into 0 4.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.991 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 4.991 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 4.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 4.993 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 4.993 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 4.993 * [taylor]: Taking taylor expansion of 0.5 in a 4.993 * [backup-simplify]: Simplify 0.5 into 0.5 4.993 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 4.993 * [taylor]: Taking taylor expansion of PI in a 4.993 * [backup-simplify]: Simplify PI into PI 4.993 * [taylor]: Taking taylor expansion of (pow a 2) in a 4.993 * [taylor]: Taking taylor expansion of a in a 4.994 * [backup-simplify]: Simplify 0 into 0 4.994 * [backup-simplify]: Simplify 1 into 1 4.994 * [backup-simplify]: Simplify (* 1 1) into 1 4.994 * [backup-simplify]: Simplify (/ PI 1) into PI 4.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 5.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 5.004 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.004 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * [backup-simplify]: Simplify 0 into 0 5.006 * * * [progress]: simplifying candidates 5.011 * [simplify]: Simplifying: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (log PI) (log 2.0)) (- (log 1.0) (log (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log PI) (log 2.0)) (log (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ PI 2.0)) (- (log 1.0) (log (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ PI 2.0)) (log (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (/ (* (* 1.0 1.0) 1.0) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (/ (* (* 1.0 1.0) 1.0) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 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(/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ b a))) (* (/ PI 2.0) (/ (sqrt 1.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (* (/ PI 2.0) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (/ (sqrt 1.0) 1)) (* (/ PI 2.0) (/ (sqrt 1.0) (+ b a))) (* (/ PI 2.0) (/ 1 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (* (/ PI 2.0) (/ 1 (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1 1)) (* (/ PI 2.0) (/ 1 (+ b a))) (* (/ PI 2.0) 1) (* (/ PI 2.0) 1.0) (* (/ PI 2.0) (/ 1.0 (- (pow (* b b) 3) (pow (* a a) 3)))) (* (/ PI 2.0) (/ 1.0 (- (* (* b b) (* b b)) (* (* a a) (* a a))))) (* (cbrt (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (sqrt (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ 1 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) 1.0) (* PI (/ 1.0 (- (* b b) (* a a)))) 0 0 0 (- (pow b 2) (pow a 2)) (- (pow b 2) (pow a 2)) (- (pow b 2) (pow a 2)) 0 0 0 0 0 0 5.020 * * [simplify]: iteration 0: 258 enodes 5.201 * * [simplify]: iteration 1: 853 enodes 6.183 * * [simplify]: iteration 2: 3696 enodes 8.133 * * [simplify]: iteration complete: 5001 enodes 8.133 * * [simplify]: Extracting #0: cost 143 inf + 0 8.138 * * [simplify]: Extracting #1: cost 1350 inf + 44 8.155 * * [simplify]: Extracting #2: cost 1884 inf + 20149 8.250 * * [simplify]: Extracting #3: cost 853 inf + 281492 8.418 * * [simplify]: Extracting #4: cost 115 inf + 492259 8.607 * * [simplify]: Extracting #5: cost 5 inf + 519167 8.805 * * [simplify]: Extracting #6: cost 0 inf + 519662 8.998 * [simplify]: Simplified to: (/ (* (/ 1.0 (- (* b b) (* a a))) (* PI (- (/ 1.0 a) (/ 1.0 b)))) 2.0) (/ (* (/ 1.0 (- (* b b) (* a a))) (* PI (- (/ 1.0 a) (/ 1.0 b)))) 2.0) (log (/ (* (/ 1.0 (- (* b b) (* a a))) (* PI (- (/ 1.0 a) (/ 1.0 b)))) 2.0)) (log (/ (* (/ 1.0 (- (* b b) (* a a))) (* PI (- (/ 1.0 a) (/ 1.0 b)))) 2.0)) (log (/ (* (/ 1.0 (- (* b b) (* a a))) (* PI (- (/ 1.0 a) (/ 1.0 b)))) 2.0)) (log (/ (* (/ 1.0 (- (* b b) (* a a))) (* PI (- (/ 1.0 a) (/ 1.0 b)))) 2.0)) (log (/ (* (/ 1.0 (- (* b b) (* a a))) (* PI (- (/ 1.0 a) (/ 1.0 b)))) 2.0)) (log (/ (* (/ 1.0 (- (* b b) (* a a))) (* PI (- (/ 1.0 a) (/ 1.0 b)))) 2.0)) (exp (/ (* (/ 1.0 (- (* b b) (* a a))) (* PI (- (/ 1.0 a) (/ 1.0 b)))) 2.0)) (* (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (* (/ 1.0 (- (* b b) (* a a))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 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b b) (* a a)) (* a b)) (* (/ (* PI 1.0) 2.0) (- (* (* (/ 1.0 a) (/ 1.0 a)) (/ 1.0 a)) (* (/ 1.0 b) (* (/ 1.0 b) (/ 1.0 b))))) (* (+ a b) (* (- b a) (+ (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a))) (* (/ 1.0 a) (/ 1.0 a))))) (* (+ (/ 1.0 b) (/ 1.0 a)) (* (/ PI 2.0) (* (- (/ 1.0 a) (/ 1.0 b)) 1.0))) (* (- (* b b) (* a a)) (+ (/ 1.0 b) (/ 1.0 a))) (* (* PI (/ 1.0 (- (* b b) (* a a)))) (- (* b 1.0) (* 1.0 a))) (* b (* a 2.0)) (* (* PI (/ 1.0 (- (* b b) (* a a)))) (- (* (* (/ 1.0 a) (/ 1.0 a)) (/ 1.0 a)) (* (/ 1.0 b) (* (/ 1.0 b) (/ 1.0 b))))) (* (+ (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a))) (* (/ 1.0 a) (/ 1.0 a))) 2.0) (* (* (- (/ 1.0 a) (/ 1.0 b)) (+ (/ 1.0 b) (/ 1.0 a))) (/ (* 1.0 PI) (- (* b b) (* a a)))) (* 2.0 (+ (/ 1.0 b) (/ 1.0 a))) (* (* (/ PI 2.0) (/ 1.0 a)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (- (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 a)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (- (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 a)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (- (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 a)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (- (/ 1.0 b))) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b))))) (* (sqrt (- (/ 1.0 a) (/ 1.0 b))) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (/ (sqrt 1.0) (sqrt b)) (sqrt (/ 1.0 a)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b)))) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b)))) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (* (cbrt 1.0) (cbrt 1.0))) (/ (* (/ (* 1.0 PI) (- (* b b) (* a a))) (sqrt 1.0)) 2.0) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (/ (* 1.0 (/ (* 1.0 PI) (- (* b b) (* a a)))) 2.0) (/ (* 1.0 (- (/ 1.0 a) (/ 1.0 b))) (- (* b b) (* a a))) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (- (* b 1.0) (* 1.0 a))) (/ (* (* PI (/ 1.0 (- (* b b) (* a a)))) (- (* (* (/ 1.0 a) (/ 1.0 a)) (/ 1.0 a)) (* (/ 1.0 b) (* (/ 1.0 b) (/ 1.0 b))))) 2.0) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (* (- (/ 1.0 a) (/ 1.0 b)) (+ (/ 1.0 b) (/ 1.0 a)))) (* (* 1.0 PI) (- (/ 1.0 a) (/ 1.0 b))) (* (/ PI 2.0) (* (- (/ 1.0 a) (/ 1.0 b)) 1.0)) (* (/ 1.0 (- (* b b) (* a a))) (* PI (- (/ 1.0 a) (/ 1.0 b)))) (exp (- (* b b) (* a a))) (log (- (* b b) (* a a))) (exp (- (* b b) (* a a))) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))) (cbrt (- (* b b) (* a a))) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))) (sqrt (- (* b b) (* a a))) (sqrt (- (* b b) (* a a))) (- (* (* b b) (* (* b b) (* b b))) (* (* a a) (* (* a a) (* a a)))) (+ (* (* a a) (+ (* a a) (* b b))) (* (* b b) (* b b))) (* a (- a)) (- (* (* b b) (* b b)) (* (* a a) (* a a))) (+ (* a a) (* b b)) (+ a b) (- b a) (* a (- a)) (log (/ 1.0 (- (* b b) (* a a)))) (log (/ 1.0 (- (* b b) (* a a)))) (exp (/ 1.0 (- (* b b) (* a a)))) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a))))) (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a))))) (cbrt (/ 1.0 (- (* b b) (* a a)))) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b b) (* a a)))) (sqrt (/ 1.0 (- (* b b) (* a a)))) (sqrt (/ 1.0 (- (* b b) (* a a)))) (- 1.0) (- (- (* b b) (* a a))) (* (/ (cbrt 1.0) (cbrt (- (* b b) (* a a)))) (/ (cbrt 1.0) (cbrt (- (* b b) (* a a))))) (/ (cbrt 1.0) (cbrt (- (* b b) (* a a)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- (* b b) (* a a)))) (/ (cbrt 1.0) (sqrt (- (* b b) (* a a)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (/ (cbrt 1.0) (+ a b)) (- b a)) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ a b)) (/ (cbrt 1.0) (- b a)) (/ (sqrt 1.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (sqrt 1.0) (cbrt (- (* b b) (* a a)))) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (sqrt 1.0) (/ (/ (sqrt 1.0) (+ a b)) (- b a)) (/ (sqrt 1.0) (+ a b)) (/ (sqrt 1.0) (- b a)) (/ (/ 1 (cbrt (- (* b b) (* a a)))) (cbrt (- (* b b) (* a a)))) (/ 1.0 (cbrt (- (* b b) (* a a)))) (/ 1 (sqrt (- (* b b) (* a a)))) (/ 1.0 (sqrt (- (* b b) (* a a)))) 1 (/ 1.0 (- (* b b) (* a a))) (/ 1 (+ a b)) (/ 1.0 (- b a)) (/ 1 (- (* b b) (* a a))) (/ (- (* b b) (* a a)) 1.0) (/ 1.0 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ 1.0 (sqrt (- (* b b) (* a a)))) 1.0 (/ 1.0 (+ a b)) (/ (- (* b b) (* a a)) (cbrt 1.0)) (/ (- (* b b) (* a a)) (sqrt 1.0)) (/ (- (* b b) (* a a)) 1.0) (/ 1.0 (- (* (* b b) (* (* b b) (* b b))) (* (* a a) (* (* a a) (* a a))))) (/ 1.0 (- (* (* b b) (* b b)) (* (* a a) (* a a)))) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (log (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (log (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (log (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (log (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (log (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (exp (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (* (/ 1.0 (- (* b b) (* a a))) (* (/ PI 2.0) (* (/ PI 2.0) (/ PI 2.0))))) (* (* (/ PI 2.0) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))))) (/ 1.0 (- (* b b) (* a a)))) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (* (/ 1.0 (- (* b b) (* a a))) (* (/ PI 2.0) (* (/ PI 2.0) (/ PI 2.0))))) (* (* (/ PI 2.0) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))))) (/ 1.0 (- (* b b) (* a a)))) (* (cbrt (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (cbrt (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0))) (cbrt (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (* (* (/ PI 2.0) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))))) (/ 1.0 (- (* b b) (* a a)))) (sqrt (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (sqrt (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (* 1.0 PI) (* (- (* b b) (* a a)) 2.0) (* (sqrt (/ 1.0 (- (* b b) (* a a)))) (sqrt (/ PI 2.0))) (* (sqrt (/ 1.0 (- (* b b) (* a a)))) (sqrt (/ PI 2.0))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (/ (sqrt PI) (/ (sqrt 2.0) (sqrt (/ 1.0 (- (* b b) (* a a)))))) (/ (sqrt PI) (/ (sqrt 2.0) (sqrt (/ 1.0 (- (* b b) (* a a)))))) (* (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (* (/ PI 2.0) (cbrt (/ 1.0 (- (* b b) (* a a))))) (cbrt (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (sqrt (/ 1.0 (- (* b b) (* a a))))) (/ (/ PI 2.0) (* (/ (cbrt (- (* b b) (* a a))) (cbrt 1.0)) (/ (cbrt (- (* b b) (* a a))) (cbrt 1.0)))) (/ (/ (* PI (* (cbrt 1.0) (cbrt 1.0))) 2.0) (sqrt (- (* b b) (* a a)))) (/ (* PI (* (cbrt 1.0) (cbrt 1.0))) 2.0) (/ (/ PI 2.0) (/ (+ a b) (* (cbrt 1.0) (cbrt 1.0)))) (/ (/ (* (sqrt 1.0) PI) 2.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (/ PI 2.0) (/ (sqrt (- (* b b) (* a a))) (sqrt 1.0))) (/ (* (sqrt 1.0) PI) 2.0) (/ (/ (* (sqrt 1.0) PI) 2.0) (+ a b)) (/ (/ PI 2.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (/ PI 2.0) (sqrt (- (* b b) (* a a)))) (/ PI 2.0) (/ (/ PI 2.0) (+ a b)) (/ PI 2.0) (/ (* PI 1.0) 2.0) (/ (* 1.0 (/ PI 2.0)) (- (* (* b b) (* (* b b) (* b b))) (* (* a a) (* (* a a) (* a a))))) (/ (* 1.0 (/ PI 2.0)) (- (* (* b b) (* b b)) (* (* a a) (* a a)))) (/ (* (cbrt (/ PI 2.0)) 1.0) (- (* b b) (* a a))) (* (/ 1.0 (- (* b b) (* a a))) (sqrt (/ PI 2.0))) (/ (* (/ 1.0 (- (* b b) (* a a))) (cbrt PI)) (cbrt 2.0)) (/ (* (cbrt PI) (/ 1.0 (- (* b b) (* a a)))) (sqrt 2.0)) (* (/ (cbrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (/ (* (/ (sqrt PI) (cbrt 2.0)) 1.0) (- (* b b) (* a a))) (* (/ 1.0 (+ a b)) (/ (/ (sqrt PI) (sqrt 2.0)) (- b a))) (/ (* (/ 1.0 (- (* b b) (* a a))) (sqrt PI)) 2.0) (/ (* 1.0 (/ PI (cbrt 2.0))) (- (* b b) (* a a))) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) (sqrt 2.0)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (/ (/ 1.0 (- (* b b) (* a a))) 2.0) (/ (* PI 1.0) 2.0) (/ (* 1.0 PI) (- (* b b) (* a a))) 0 0 0 (- (* b b) (* a a)) (- (* b b) (* a a)) (- (* b b) (* a a)) 0 0 0 0 0 0 9.021 * * * [progress]: adding candidates to table 10.312 * * [progress]: iteration 2 / 4 10.312 * * * [progress]: picking best candidate 10.384 * * * * [pick]: Picked # 10.384 * * * [progress]: localizing error 10.439 * * * [progress]: generating rewritten candidates 10.439 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 10.752 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 10.790 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 10.950 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 11.038 * * * [progress]: generating series expansions 11.038 * * * * [progress]: [ 1 / 4 ] generating series at (2) 11.040 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) 11.040 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in (a b) around 0 11.040 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 11.040 * [taylor]: Taking taylor expansion of 0.5 in b 11.040 * [backup-simplify]: Simplify 0.5 into 0.5 11.040 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 11.040 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 11.040 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 11.040 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 11.040 * [taylor]: Taking taylor expansion of 1.0 in b 11.040 * [backup-simplify]: Simplify 1.0 into 1.0 11.040 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.040 * [taylor]: Taking taylor expansion of a in b 11.040 * [backup-simplify]: Simplify a into a 11.040 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.040 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 11.040 * [taylor]: Taking taylor expansion of 1.0 in b 11.040 * [backup-simplify]: Simplify 1.0 into 1.0 11.041 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.041 * [taylor]: Taking taylor expansion of b in b 11.041 * [backup-simplify]: Simplify 0 into 0 11.041 * [backup-simplify]: Simplify 1 into 1 11.041 * [backup-simplify]: Simplify (/ 1 1) into 1 11.041 * [taylor]: Taking taylor expansion of PI in b 11.041 * [backup-simplify]: Simplify PI into PI 11.041 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 11.041 * [taylor]: Taking taylor expansion of (- b a) in b 11.041 * [taylor]: Taking taylor expansion of b in b 11.041 * [backup-simplify]: Simplify 0 into 0 11.042 * [backup-simplify]: Simplify 1 into 1 11.042 * [taylor]: Taking taylor expansion of a in b 11.042 * [backup-simplify]: Simplify a into a 11.042 * [taylor]: Taking taylor expansion of (+ a b) in b 11.042 * [taylor]: Taking taylor expansion of a in b 11.042 * [backup-simplify]: Simplify a into a 11.042 * [taylor]: Taking taylor expansion of b in b 11.042 * [backup-simplify]: Simplify 0 into 0 11.042 * [backup-simplify]: Simplify 1 into 1 11.042 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.043 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.044 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 11.045 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 11.045 * [backup-simplify]: Simplify (- a) into (- a) 11.045 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 11.045 * [backup-simplify]: Simplify (+ a 0) into a 11.045 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 11.046 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 11.046 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 11.046 * [taylor]: Taking taylor expansion of 0.5 in a 11.046 * [backup-simplify]: Simplify 0.5 into 0.5 11.046 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 11.046 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 11.046 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 11.046 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 11.046 * [taylor]: Taking taylor expansion of 1.0 in a 11.046 * [backup-simplify]: Simplify 1.0 into 1.0 11.046 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.046 * [taylor]: Taking taylor expansion of a in a 11.046 * [backup-simplify]: Simplify 0 into 0 11.046 * [backup-simplify]: Simplify 1 into 1 11.046 * [backup-simplify]: Simplify (/ 1 1) into 1 11.047 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 11.047 * [taylor]: Taking taylor expansion of 1.0 in a 11.047 * [backup-simplify]: Simplify 1.0 into 1.0 11.047 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.047 * [taylor]: Taking taylor expansion of b in a 11.047 * [backup-simplify]: Simplify b into b 11.047 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.047 * [taylor]: Taking taylor expansion of PI in a 11.047 * [backup-simplify]: Simplify PI into PI 11.047 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 11.047 * [taylor]: Taking taylor expansion of (- b a) in a 11.047 * [taylor]: Taking taylor expansion of b in a 11.047 * [backup-simplify]: Simplify b into b 11.047 * [taylor]: Taking taylor expansion of a in a 11.047 * [backup-simplify]: Simplify 0 into 0 11.047 * [backup-simplify]: Simplify 1 into 1 11.047 * [taylor]: Taking taylor expansion of (+ a b) in a 11.047 * [taylor]: Taking taylor expansion of a in a 11.047 * [backup-simplify]: Simplify 0 into 0 11.047 * [backup-simplify]: Simplify 1 into 1 11.047 * [taylor]: Taking taylor expansion of b in a 11.047 * [backup-simplify]: Simplify b into b 11.048 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.048 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.049 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 11.049 * [backup-simplify]: Simplify (- 0) into 0 11.049 * [backup-simplify]: Simplify (+ b 0) into b 11.049 * [backup-simplify]: Simplify (+ 0 b) into b 11.049 * [backup-simplify]: Simplify (* b b) into (pow b 2) 11.050 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 11.050 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 11.050 * [taylor]: Taking taylor expansion of 0.5 in a 11.050 * [backup-simplify]: Simplify 0.5 into 0.5 11.050 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 11.050 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 11.050 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 11.050 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 11.050 * [taylor]: Taking taylor expansion of 1.0 in a 11.050 * [backup-simplify]: Simplify 1.0 into 1.0 11.050 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.050 * [taylor]: Taking taylor expansion of a in a 11.050 * [backup-simplify]: Simplify 0 into 0 11.050 * [backup-simplify]: Simplify 1 into 1 11.051 * [backup-simplify]: Simplify (/ 1 1) into 1 11.051 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 11.051 * [taylor]: Taking taylor expansion of 1.0 in a 11.051 * [backup-simplify]: Simplify 1.0 into 1.0 11.051 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.051 * [taylor]: Taking taylor expansion of b in a 11.051 * [backup-simplify]: Simplify b into b 11.051 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.051 * [taylor]: Taking taylor expansion of PI in a 11.051 * [backup-simplify]: Simplify PI into PI 11.051 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 11.051 * [taylor]: Taking taylor expansion of (- b a) in a 11.051 * [taylor]: Taking taylor expansion of b in a 11.051 * [backup-simplify]: Simplify b into b 11.051 * [taylor]: Taking taylor expansion of a in a 11.051 * [backup-simplify]: Simplify 0 into 0 11.051 * [backup-simplify]: Simplify 1 into 1 11.051 * [taylor]: Taking taylor expansion of (+ a b) in a 11.051 * [taylor]: Taking taylor expansion of a in a 11.051 * [backup-simplify]: Simplify 0 into 0 11.051 * [backup-simplify]: Simplify 1 into 1 11.051 * [taylor]: Taking taylor expansion of b in a 11.051 * [backup-simplify]: Simplify b into b 11.052 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.052 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.053 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 11.053 * [backup-simplify]: Simplify (- 0) into 0 11.053 * [backup-simplify]: Simplify (+ b 0) into b 11.054 * [backup-simplify]: Simplify (+ 0 b) into b 11.054 * [backup-simplify]: Simplify (* b b) into (pow b 2) 11.054 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 11.055 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow b 2)))) into (* 0.5 (/ PI (pow b 2))) 11.055 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.055 * [taylor]: Taking taylor expansion of 0.5 in b 11.055 * [backup-simplify]: Simplify 0.5 into 0.5 11.055 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.055 * [taylor]: Taking taylor expansion of PI in b 11.055 * [backup-simplify]: Simplify PI into PI 11.055 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.055 * [taylor]: Taking taylor expansion of b in b 11.055 * [backup-simplify]: Simplify 0 into 0 11.055 * [backup-simplify]: Simplify 1 into 1 11.056 * [backup-simplify]: Simplify (* 1 1) into 1 11.056 * [backup-simplify]: Simplify (/ PI 1) into PI 11.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 11.059 * [backup-simplify]: Simplify 0 into 0 11.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.061 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 11.061 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 11.061 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 11.061 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 11.062 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 11.063 * [backup-simplify]: Simplify (+ 1 0) into 1 11.063 * [backup-simplify]: Simplify (- 1) into -1 11.064 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.064 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 11.064 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI b))) (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1.0 (/ PI (pow b 3)))) 11.065 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2))))) into (- (* 0.5 (/ PI (pow b 3)))) 11.065 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 3)))) in b 11.065 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 11.065 * [taylor]: Taking taylor expansion of 0.5 in b 11.065 * [backup-simplify]: Simplify 0.5 into 0.5 11.065 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 11.065 * [taylor]: Taking taylor expansion of PI in b 11.065 * [backup-simplify]: Simplify PI into PI 11.065 * [taylor]: Taking taylor expansion of (pow b 3) in b 11.065 * [taylor]: Taking taylor expansion of b in b 11.065 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify 1 into 1 11.066 * [backup-simplify]: Simplify (* 1 1) into 1 11.067 * [backup-simplify]: Simplify (* 1 1) into 1 11.067 * [backup-simplify]: Simplify (/ PI 1) into PI 11.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.074 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.075 * [backup-simplify]: Simplify (- 0) into 0 11.075 * [backup-simplify]: Simplify 0 into 0 11.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.078 * [backup-simplify]: Simplify 0 into 0 11.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.080 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 11.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.080 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 11.081 * [backup-simplify]: Simplify (- 0) into 0 11.081 * [backup-simplify]: Simplify (+ 0 0) into 0 11.082 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 11.083 * [backup-simplify]: Simplify (+ 0 0) into 0 11.083 * [backup-simplify]: Simplify (- 0) into 0 11.083 * [backup-simplify]: Simplify (+ 0 0) into 0 11.084 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 11.085 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1.0 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1.0 (/ PI (pow b 4))) 11.086 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow b 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2)))))) into (* 0.5 (/ PI (pow b 4))) 11.086 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 11.086 * [taylor]: Taking taylor expansion of 0.5 in b 11.086 * [backup-simplify]: Simplify 0.5 into 0.5 11.086 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 11.086 * [taylor]: Taking taylor expansion of PI in b 11.086 * [backup-simplify]: Simplify PI into PI 11.086 * [taylor]: Taking taylor expansion of (pow b 4) in b 11.086 * [taylor]: Taking taylor expansion of b in b 11.086 * [backup-simplify]: Simplify 0 into 0 11.086 * [backup-simplify]: Simplify 1 into 1 11.087 * [backup-simplify]: Simplify (* 1 1) into 1 11.087 * [backup-simplify]: Simplify (* 1 1) into 1 11.088 * [backup-simplify]: Simplify (/ PI 1) into PI 11.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.097 * [backup-simplify]: Simplify 0 into 0 11.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.102 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.102 * [backup-simplify]: Simplify (- 0) into 0 11.102 * [backup-simplify]: Simplify 0 into 0 11.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.106 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.106 * [backup-simplify]: Simplify 0 into 0 11.106 * [backup-simplify]: Simplify 0 into 0 11.107 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) (/ 1.0 (- (/ 1 b) (/ 1 a)))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) 11.107 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 11.107 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in b 11.107 * [taylor]: Taking taylor expansion of 0.5 in b 11.107 * [backup-simplify]: Simplify 0.5 into 0.5 11.107 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 11.108 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 11.108 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 11.108 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 11.108 * [taylor]: Taking taylor expansion of 1.0 in b 11.108 * [backup-simplify]: Simplify 1.0 into 1.0 11.108 * [taylor]: Taking taylor expansion of a in b 11.108 * [backup-simplify]: Simplify a into a 11.108 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 11.108 * [taylor]: Taking taylor expansion of 1.0 in b 11.108 * [backup-simplify]: Simplify 1.0 into 1.0 11.108 * [taylor]: Taking taylor expansion of b in b 11.108 * [backup-simplify]: Simplify 0 into 0 11.108 * [backup-simplify]: Simplify 1 into 1 11.108 * [taylor]: Taking taylor expansion of PI in b 11.108 * [backup-simplify]: Simplify PI into PI 11.108 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 11.108 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 11.108 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.108 * [taylor]: Taking taylor expansion of b in b 11.108 * [backup-simplify]: Simplify 0 into 0 11.108 * [backup-simplify]: Simplify 1 into 1 11.109 * [backup-simplify]: Simplify (/ 1 1) into 1 11.109 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.109 * [taylor]: Taking taylor expansion of a in b 11.109 * [backup-simplify]: Simplify a into a 11.109 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.109 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 11.109 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.109 * [taylor]: Taking taylor expansion of b in b 11.109 * [backup-simplify]: Simplify 0 into 0 11.109 * [backup-simplify]: Simplify 1 into 1 11.109 * [backup-simplify]: Simplify (/ 1 1) into 1 11.109 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.109 * [taylor]: Taking taylor expansion of a in b 11.109 * [backup-simplify]: Simplify a into a 11.109 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.109 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 11.110 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.110 * [backup-simplify]: Simplify (- 0) into 0 11.110 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 11.110 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 11.111 * [backup-simplify]: Simplify (+ 1 0) into 1 11.111 * [backup-simplify]: Simplify (+ 1 0) into 1 11.112 * [backup-simplify]: Simplify (* 1 1) into 1 11.112 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 11.112 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 11.112 * [taylor]: Taking taylor expansion of 0.5 in a 11.112 * [backup-simplify]: Simplify 0.5 into 0.5 11.112 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 11.112 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 11.112 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 11.112 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 11.112 * [taylor]: Taking taylor expansion of 1.0 in a 11.112 * [backup-simplify]: Simplify 1.0 into 1.0 11.112 * [taylor]: Taking taylor expansion of a in a 11.112 * [backup-simplify]: Simplify 0 into 0 11.112 * [backup-simplify]: Simplify 1 into 1 11.112 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 11.112 * [taylor]: Taking taylor expansion of 1.0 in a 11.112 * [backup-simplify]: Simplify 1.0 into 1.0 11.112 * [taylor]: Taking taylor expansion of b in a 11.112 * [backup-simplify]: Simplify b into b 11.112 * [taylor]: Taking taylor expansion of PI in a 11.112 * [backup-simplify]: Simplify PI into PI 11.112 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 11.112 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 11.112 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.112 * [taylor]: Taking taylor expansion of b in a 11.113 * [backup-simplify]: Simplify b into b 11.113 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.113 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.113 * [taylor]: Taking taylor expansion of a in a 11.113 * [backup-simplify]: Simplify 0 into 0 11.113 * [backup-simplify]: Simplify 1 into 1 11.113 * [backup-simplify]: Simplify (/ 1 1) into 1 11.113 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.113 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.113 * [taylor]: Taking taylor expansion of b in a 11.113 * [backup-simplify]: Simplify b into b 11.113 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.113 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.113 * [taylor]: Taking taylor expansion of a in a 11.113 * [backup-simplify]: Simplify 0 into 0 11.113 * [backup-simplify]: Simplify 1 into 1 11.114 * [backup-simplify]: Simplify (/ 1 1) into 1 11.114 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.114 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 11.114 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 11.115 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 11.115 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 11.115 * [backup-simplify]: Simplify (- 1) into -1 11.115 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.116 * [backup-simplify]: Simplify (+ 0 1) into 1 11.116 * [backup-simplify]: Simplify (* -1 1) into -1 11.116 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 11.116 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 11.116 * [taylor]: Taking taylor expansion of 0.5 in a 11.117 * [backup-simplify]: Simplify 0.5 into 0.5 11.117 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 11.117 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 11.117 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 11.117 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 11.117 * [taylor]: Taking taylor expansion of 1.0 in a 11.117 * [backup-simplify]: Simplify 1.0 into 1.0 11.117 * [taylor]: Taking taylor expansion of a in a 11.117 * [backup-simplify]: Simplify 0 into 0 11.117 * [backup-simplify]: Simplify 1 into 1 11.117 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 11.117 * [taylor]: Taking taylor expansion of 1.0 in a 11.117 * [backup-simplify]: Simplify 1.0 into 1.0 11.117 * [taylor]: Taking taylor expansion of b in a 11.117 * [backup-simplify]: Simplify b into b 11.117 * [taylor]: Taking taylor expansion of PI in a 11.117 * [backup-simplify]: Simplify PI into PI 11.117 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 11.117 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 11.117 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.117 * [taylor]: Taking taylor expansion of b in a 11.117 * [backup-simplify]: Simplify b into b 11.117 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.117 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.117 * [taylor]: Taking taylor expansion of a in a 11.117 * [backup-simplify]: Simplify 0 into 0 11.117 * [backup-simplify]: Simplify 1 into 1 11.118 * [backup-simplify]: Simplify (/ 1 1) into 1 11.118 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.118 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.118 * [taylor]: Taking taylor expansion of b in a 11.118 * [backup-simplify]: Simplify b into b 11.118 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.118 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.118 * [taylor]: Taking taylor expansion of a in a 11.118 * [backup-simplify]: Simplify 0 into 0 11.118 * [backup-simplify]: Simplify 1 into 1 11.125 * [backup-simplify]: Simplify (/ 1 1) into 1 11.126 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.126 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 11.126 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 11.126 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 11.126 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 11.127 * [backup-simplify]: Simplify (- 1) into -1 11.127 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.127 * [backup-simplify]: Simplify (+ 0 1) into 1 11.128 * [backup-simplify]: Simplify (* -1 1) into -1 11.128 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 11.128 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* b PI))) into (* 0.5 (* PI b)) 11.128 * [taylor]: Taking taylor expansion of (* 0.5 (* PI b)) in b 11.128 * [taylor]: Taking taylor expansion of 0.5 in b 11.128 * [backup-simplify]: Simplify 0.5 into 0.5 11.128 * [taylor]: Taking taylor expansion of (* PI b) in b 11.128 * [taylor]: Taking taylor expansion of PI in b 11.128 * [backup-simplify]: Simplify PI into PI 11.128 * [taylor]: Taking taylor expansion of b in b 11.128 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify 1 into 1 11.130 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 11.131 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 11.132 * [backup-simplify]: Simplify (* PI 0) into 0 11.133 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 11.133 * [backup-simplify]: Simplify 0 into 0 11.134 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.135 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 11.135 * [backup-simplify]: Simplify (- 0) into 0 11.136 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.136 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (* 1.0 PI)) into (* 1.0 PI) 11.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.137 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 11.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.138 * [backup-simplify]: Simplify (- 0) into 0 11.138 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 11.139 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 11.141 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* b PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 11.143 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI)))) into (- (* 0.5 PI)) 11.143 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in b 11.143 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 11.144 * [taylor]: Taking taylor expansion of 0.5 in b 11.144 * [backup-simplify]: Simplify 0.5 into 0.5 11.144 * [taylor]: Taking taylor expansion of PI in b 11.144 * [backup-simplify]: Simplify PI into PI 11.145 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.145 * [backup-simplify]: Simplify (- 0) into 0 11.145 * [backup-simplify]: Simplify 0 into 0 11.146 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.147 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.147 * [backup-simplify]: Simplify 0 into 0 11.148 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.149 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 11.150 * [backup-simplify]: Simplify (- 0) into 0 11.150 * [backup-simplify]: Simplify (+ 0 0) into 0 11.151 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 11.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.152 * [backup-simplify]: Simplify (+ 0 0) into 0 11.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.154 * [backup-simplify]: Simplify (- 0) into 0 11.154 * [backup-simplify]: Simplify (+ 0 0) into 0 11.155 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 11.157 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI b)) 11.159 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI))))) into (* 0.5 (/ PI b)) 11.159 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 11.159 * [taylor]: Taking taylor expansion of 0.5 in b 11.159 * [backup-simplify]: Simplify 0.5 into 0.5 11.159 * [taylor]: Taking taylor expansion of (/ PI b) in b 11.159 * [taylor]: Taking taylor expansion of PI in b 11.159 * [backup-simplify]: Simplify PI into PI 11.159 * [taylor]: Taking taylor expansion of b in b 11.159 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify 1 into 1 11.160 * [backup-simplify]: Simplify (/ PI 1) into PI 11.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.166 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.166 * [backup-simplify]: Simplify 0 into 0 11.167 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.168 * [backup-simplify]: Simplify (- 0) into 0 11.168 * [backup-simplify]: Simplify 0 into 0 11.169 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.170 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 11.171 * [backup-simplify]: Simplify 0 into 0 11.171 * [backup-simplify]: Simplify 0 into 0 11.172 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) 11.172 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 11.172 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in b 11.172 * [taylor]: Taking taylor expansion of -0.5 in b 11.172 * [backup-simplify]: Simplify -0.5 into -0.5 11.172 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in b 11.172 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 11.172 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 11.172 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 11.172 * [taylor]: Taking taylor expansion of 1.0 in b 11.172 * [backup-simplify]: Simplify 1.0 into 1.0 11.172 * [taylor]: Taking taylor expansion of b in b 11.172 * [backup-simplify]: Simplify 0 into 0 11.172 * [backup-simplify]: Simplify 1 into 1 11.172 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 11.172 * [taylor]: Taking taylor expansion of 1.0 in b 11.172 * [backup-simplify]: Simplify 1.0 into 1.0 11.172 * [taylor]: Taking taylor expansion of a in b 11.172 * [backup-simplify]: Simplify a into a 11.172 * [taylor]: Taking taylor expansion of PI in b 11.172 * [backup-simplify]: Simplify PI into PI 11.172 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in b 11.172 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 11.173 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.173 * [taylor]: Taking taylor expansion of a in b 11.173 * [backup-simplify]: Simplify a into a 11.173 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.173 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.173 * [taylor]: Taking taylor expansion of b in b 11.173 * [backup-simplify]: Simplify 0 into 0 11.173 * [backup-simplify]: Simplify 1 into 1 11.173 * [backup-simplify]: Simplify (/ 1 1) into 1 11.173 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 11.173 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.173 * [taylor]: Taking taylor expansion of b in b 11.173 * [backup-simplify]: Simplify 0 into 0 11.173 * [backup-simplify]: Simplify 1 into 1 11.174 * [backup-simplify]: Simplify (/ 1 1) into 1 11.174 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.174 * [taylor]: Taking taylor expansion of a in b 11.174 * [backup-simplify]: Simplify a into a 11.174 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.174 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.175 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 11.175 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 11.175 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 11.175 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 11.175 * [backup-simplify]: Simplify (- 1) into -1 11.176 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.176 * [backup-simplify]: Simplify (+ 1 0) into 1 11.177 * [backup-simplify]: Simplify (* -1 1) into -1 11.177 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 11.177 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 11.177 * [taylor]: Taking taylor expansion of -0.5 in a 11.177 * [backup-simplify]: Simplify -0.5 into -0.5 11.177 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 11.177 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 11.177 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 11.177 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 11.177 * [taylor]: Taking taylor expansion of 1.0 in a 11.177 * [backup-simplify]: Simplify 1.0 into 1.0 11.177 * [taylor]: Taking taylor expansion of b in a 11.177 * [backup-simplify]: Simplify b into b 11.177 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 11.177 * [taylor]: Taking taylor expansion of 1.0 in a 11.177 * [backup-simplify]: Simplify 1.0 into 1.0 11.177 * [taylor]: Taking taylor expansion of a in a 11.177 * [backup-simplify]: Simplify 0 into 0 11.177 * [backup-simplify]: Simplify 1 into 1 11.177 * [taylor]: Taking taylor expansion of PI in a 11.177 * [backup-simplify]: Simplify PI into PI 11.177 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 11.177 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 11.177 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.177 * [taylor]: Taking taylor expansion of a in a 11.177 * [backup-simplify]: Simplify 0 into 0 11.178 * [backup-simplify]: Simplify 1 into 1 11.178 * [backup-simplify]: Simplify (/ 1 1) into 1 11.178 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.178 * [taylor]: Taking taylor expansion of b in a 11.178 * [backup-simplify]: Simplify b into b 11.178 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.178 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.178 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.178 * [taylor]: Taking taylor expansion of b in a 11.178 * [backup-simplify]: Simplify b into b 11.178 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.178 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.178 * [taylor]: Taking taylor expansion of a in a 11.178 * [backup-simplify]: Simplify 0 into 0 11.178 * [backup-simplify]: Simplify 1 into 1 11.179 * [backup-simplify]: Simplify (/ 1 1) into 1 11.179 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 11.179 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.180 * [backup-simplify]: Simplify (- 0) into 0 11.180 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 11.180 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 11.180 * [backup-simplify]: Simplify (+ 1 0) into 1 11.181 * [backup-simplify]: Simplify (+ 0 1) into 1 11.181 * [backup-simplify]: Simplify (* 1 1) into 1 11.181 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 11.181 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 11.181 * [taylor]: Taking taylor expansion of -0.5 in a 11.181 * [backup-simplify]: Simplify -0.5 into -0.5 11.181 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 11.181 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 11.181 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 11.181 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 11.181 * [taylor]: Taking taylor expansion of 1.0 in a 11.181 * [backup-simplify]: Simplify 1.0 into 1.0 11.181 * [taylor]: Taking taylor expansion of b in a 11.182 * [backup-simplify]: Simplify b into b 11.182 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 11.182 * [taylor]: Taking taylor expansion of 1.0 in a 11.182 * [backup-simplify]: Simplify 1.0 into 1.0 11.182 * [taylor]: Taking taylor expansion of a in a 11.182 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify 1 into 1 11.182 * [taylor]: Taking taylor expansion of PI in a 11.182 * [backup-simplify]: Simplify PI into PI 11.182 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 11.182 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 11.182 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.182 * [taylor]: Taking taylor expansion of a in a 11.182 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify 1 into 1 11.182 * [backup-simplify]: Simplify (/ 1 1) into 1 11.182 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.182 * [taylor]: Taking taylor expansion of b in a 11.182 * [backup-simplify]: Simplify b into b 11.182 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.182 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.183 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.183 * [taylor]: Taking taylor expansion of b in a 11.183 * [backup-simplify]: Simplify b into b 11.183 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.183 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.183 * [taylor]: Taking taylor expansion of a in a 11.183 * [backup-simplify]: Simplify 0 into 0 11.183 * [backup-simplify]: Simplify 1 into 1 11.183 * [backup-simplify]: Simplify (/ 1 1) into 1 11.183 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 11.184 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.184 * [backup-simplify]: Simplify (- 0) into 0 11.184 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 11.185 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 11.185 * [backup-simplify]: Simplify (+ 1 0) into 1 11.185 * [backup-simplify]: Simplify (+ 0 1) into 1 11.186 * [backup-simplify]: Simplify (* 1 1) into 1 11.186 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 11.186 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* b PI))) into (* -0.5 (* PI b)) 11.186 * [taylor]: Taking taylor expansion of (* -0.5 (* PI b)) in b 11.186 * [taylor]: Taking taylor expansion of -0.5 in b 11.186 * [backup-simplify]: Simplify -0.5 into -0.5 11.186 * [taylor]: Taking taylor expansion of (* PI b) in b 11.186 * [taylor]: Taking taylor expansion of PI in b 11.186 * [backup-simplify]: Simplify PI into PI 11.186 * [taylor]: Taking taylor expansion of b in b 11.186 * [backup-simplify]: Simplify 0 into 0 11.186 * [backup-simplify]: Simplify 1 into 1 11.187 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 11.189 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 11.190 * [backup-simplify]: Simplify (* PI 0) into 0 11.191 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 11.191 * [backup-simplify]: Simplify 0 into 0 11.191 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 11.193 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.194 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.195 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 11.196 * [backup-simplify]: Simplify (+ (* (* 1.0 b) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 11.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.197 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 11.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.198 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 11.198 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 11.198 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 11.201 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* b PI)) (/ 0 1)))) into (- (* 1.0 PI)) 11.203 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI)))) into (* 0.5 PI) 11.203 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 11.203 * [taylor]: Taking taylor expansion of 0.5 in b 11.203 * [backup-simplify]: Simplify 0.5 into 0.5 11.203 * [taylor]: Taking taylor expansion of PI in b 11.203 * [backup-simplify]: Simplify PI into PI 11.205 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.205 * [backup-simplify]: Simplify 0 into 0 11.206 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.208 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.208 * [backup-simplify]: Simplify 0 into 0 11.209 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 11.210 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.210 * [backup-simplify]: Simplify (- 0) into 0 11.211 * [backup-simplify]: Simplify (+ 0 0) into 0 11.211 * [backup-simplify]: Simplify (+ (* (* 1.0 b) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 11.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.212 * [backup-simplify]: Simplify (+ 0 0) into 0 11.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.213 * [backup-simplify]: Simplify (- 0) into 0 11.213 * [backup-simplify]: Simplify (+ 0 0) into 0 11.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 11.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* b PI)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI b)) 11.216 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI))))) into (- (* 0.5 (/ PI b))) 11.216 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 11.216 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 11.216 * [taylor]: Taking taylor expansion of 0.5 in b 11.216 * [backup-simplify]: Simplify 0.5 into 0.5 11.216 * [taylor]: Taking taylor expansion of (/ PI b) in b 11.216 * [taylor]: Taking taylor expansion of PI in b 11.216 * [backup-simplify]: Simplify PI into PI 11.216 * [taylor]: Taking taylor expansion of b in b 11.216 * [backup-simplify]: Simplify 0 into 0 11.216 * [backup-simplify]: Simplify 1 into 1 11.216 * [backup-simplify]: Simplify (/ PI 1) into PI 11.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.218 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.219 * [backup-simplify]: Simplify (- 0) into 0 11.219 * [backup-simplify]: Simplify 0 into 0 11.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.219 * [backup-simplify]: Simplify 0 into 0 11.220 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 11.221 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 11.221 * [backup-simplify]: Simplify 0 into 0 11.221 * [backup-simplify]: Simplify 0 into 0 11.221 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 11.221 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ a b)) into (* 0.5 (/ PI (+ a b))) 11.222 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (a b) around 0 11.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 11.222 * [taylor]: Taking taylor expansion of 0.5 in b 11.222 * [backup-simplify]: Simplify 0.5 into 0.5 11.222 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 11.222 * [taylor]: Taking taylor expansion of PI in b 11.222 * [backup-simplify]: Simplify PI into PI 11.222 * [taylor]: Taking taylor expansion of (+ a b) in b 11.222 * [taylor]: Taking taylor expansion of a in b 11.222 * [backup-simplify]: Simplify a into a 11.222 * [taylor]: Taking taylor expansion of b in b 11.222 * [backup-simplify]: Simplify 0 into 0 11.222 * [backup-simplify]: Simplify 1 into 1 11.222 * [backup-simplify]: Simplify (+ a 0) into a 11.222 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 11.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 11.222 * [taylor]: Taking taylor expansion of 0.5 in a 11.222 * [backup-simplify]: Simplify 0.5 into 0.5 11.222 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 11.222 * [taylor]: Taking taylor expansion of PI in a 11.222 * [backup-simplify]: Simplify PI into PI 11.222 * [taylor]: Taking taylor expansion of (+ a b) in a 11.222 * [taylor]: Taking taylor expansion of a in a 11.222 * [backup-simplify]: Simplify 0 into 0 11.222 * [backup-simplify]: Simplify 1 into 1 11.222 * [taylor]: Taking taylor expansion of b in a 11.222 * [backup-simplify]: Simplify b into b 11.222 * [backup-simplify]: Simplify (+ 0 b) into b 11.222 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 11.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 11.222 * [taylor]: Taking taylor expansion of 0.5 in a 11.222 * [backup-simplify]: Simplify 0.5 into 0.5 11.222 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 11.222 * [taylor]: Taking taylor expansion of PI in a 11.222 * [backup-simplify]: Simplify PI into PI 11.222 * [taylor]: Taking taylor expansion of (+ a b) in a 11.222 * [taylor]: Taking taylor expansion of a in a 11.222 * [backup-simplify]: Simplify 0 into 0 11.222 * [backup-simplify]: Simplify 1 into 1 11.222 * [taylor]: Taking taylor expansion of b in a 11.222 * [backup-simplify]: Simplify b into b 11.222 * [backup-simplify]: Simplify (+ 0 b) into b 11.222 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 11.222 * [backup-simplify]: Simplify (* 0.5 (/ PI b)) into (* 0.5 (/ PI b)) 11.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 11.223 * [taylor]: Taking taylor expansion of 0.5 in b 11.223 * [backup-simplify]: Simplify 0.5 into 0.5 11.223 * [taylor]: Taking taylor expansion of (/ PI b) in b 11.223 * [taylor]: Taking taylor expansion of PI in b 11.223 * [backup-simplify]: Simplify PI into PI 11.223 * [taylor]: Taking taylor expansion of b in b 11.223 * [backup-simplify]: Simplify 0 into 0 11.223 * [backup-simplify]: Simplify 1 into 1 11.223 * [backup-simplify]: Simplify (/ PI 1) into PI 11.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 11.224 * [backup-simplify]: Simplify 0 into 0 11.224 * [backup-simplify]: Simplify (+ 1 0) into 1 11.225 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 11.225 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 0.5 (/ PI (pow b 2)))) 11.225 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 11.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.225 * [taylor]: Taking taylor expansion of 0.5 in b 11.225 * [backup-simplify]: Simplify 0.5 into 0.5 11.225 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.225 * [taylor]: Taking taylor expansion of PI in b 11.225 * [backup-simplify]: Simplify PI into PI 11.225 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.225 * [taylor]: Taking taylor expansion of b in b 11.225 * [backup-simplify]: Simplify 0 into 0 11.225 * [backup-simplify]: Simplify 1 into 1 11.225 * [backup-simplify]: Simplify (* 1 1) into 1 11.226 * [backup-simplify]: Simplify (/ PI 1) into PI 11.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.228 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.229 * [backup-simplify]: Simplify (- 0) into 0 11.229 * [backup-simplify]: Simplify 0 into 0 11.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.230 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.230 * [backup-simplify]: Simplify 0 into 0 11.230 * [backup-simplify]: Simplify (+ 0 0) into 0 11.231 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 11.231 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 0.5 (/ PI (pow b 3))) 11.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 11.231 * [taylor]: Taking taylor expansion of 0.5 in b 11.231 * [backup-simplify]: Simplify 0.5 into 0.5 11.231 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 11.231 * [taylor]: Taking taylor expansion of PI in b 11.231 * [backup-simplify]: Simplify PI into PI 11.231 * [taylor]: Taking taylor expansion of (pow b 3) in b 11.231 * [taylor]: Taking taylor expansion of b in b 11.231 * [backup-simplify]: Simplify 0 into 0 11.231 * [backup-simplify]: Simplify 1 into 1 11.231 * [backup-simplify]: Simplify (* 1 1) into 1 11.232 * [backup-simplify]: Simplify (* 1 1) into 1 11.232 * [backup-simplify]: Simplify (/ PI 1) into PI 11.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.237 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.238 * [backup-simplify]: Simplify 0 into 0 11.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.241 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.241 * [backup-simplify]: Simplify (- 0) into 0 11.241 * [backup-simplify]: Simplify 0 into 0 11.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.244 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.244 * [backup-simplify]: Simplify 0 into 0 11.244 * [backup-simplify]: Simplify 0 into 0 11.244 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (+ (/ 1 b) (/ 1 a)))) 11.244 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 11.244 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 b) (/ 1 a)))) in b 11.244 * [taylor]: Taking taylor expansion of 0.5 in b 11.245 * [backup-simplify]: Simplify 0.5 into 0.5 11.245 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 11.245 * [taylor]: Taking taylor expansion of PI in b 11.245 * [backup-simplify]: Simplify PI into PI 11.245 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 11.245 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.245 * [taylor]: Taking taylor expansion of b in b 11.245 * [backup-simplify]: Simplify 0 into 0 11.245 * [backup-simplify]: Simplify 1 into 1 11.245 * [backup-simplify]: Simplify (/ 1 1) into 1 11.245 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.245 * [taylor]: Taking taylor expansion of a in b 11.245 * [backup-simplify]: Simplify a into a 11.245 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.246 * [backup-simplify]: Simplify (+ 1 0) into 1 11.246 * [backup-simplify]: Simplify (/ PI 1) into PI 11.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 b) (/ 1 a)))) in a 11.246 * [taylor]: Taking taylor expansion of 0.5 in a 11.246 * [backup-simplify]: Simplify 0.5 into 0.5 11.246 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a 11.246 * [taylor]: Taking taylor expansion of PI in a 11.246 * [backup-simplify]: Simplify PI into PI 11.246 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.246 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.246 * [taylor]: Taking taylor expansion of b in a 11.246 * [backup-simplify]: Simplify b into b 11.247 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.247 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.247 * [taylor]: Taking taylor expansion of a in a 11.247 * [backup-simplify]: Simplify 0 into 0 11.247 * [backup-simplify]: Simplify 1 into 1 11.247 * [backup-simplify]: Simplify (/ 1 1) into 1 11.247 * [backup-simplify]: Simplify (+ 0 1) into 1 11.247 * [backup-simplify]: Simplify (/ PI 1) into PI 11.247 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 b) (/ 1 a)))) in a 11.247 * [taylor]: Taking taylor expansion of 0.5 in a 11.247 * [backup-simplify]: Simplify 0.5 into 0.5 11.248 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a 11.248 * [taylor]: Taking taylor expansion of PI in a 11.248 * [backup-simplify]: Simplify PI into PI 11.248 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.248 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.248 * [taylor]: Taking taylor expansion of b in a 11.248 * [backup-simplify]: Simplify b into b 11.248 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.248 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.248 * [taylor]: Taking taylor expansion of a in a 11.248 * [backup-simplify]: Simplify 0 into 0 11.248 * [backup-simplify]: Simplify 1 into 1 11.248 * [backup-simplify]: Simplify (/ 1 1) into 1 11.248 * [backup-simplify]: Simplify (+ 0 1) into 1 11.249 * [backup-simplify]: Simplify (/ PI 1) into PI 11.249 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 11.249 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 11.249 * [taylor]: Taking taylor expansion of 0.5 in b 11.249 * [backup-simplify]: Simplify 0.5 into 0.5 11.249 * [taylor]: Taking taylor expansion of PI in b 11.249 * [backup-simplify]: Simplify PI into PI 11.249 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 11.250 * [backup-simplify]: Simplify 0 into 0 11.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.250 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 11.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 11.251 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI b))) (* 0 PI)) into (- (* 0.5 (/ PI b))) 11.251 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 11.251 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 11.251 * [taylor]: Taking taylor expansion of 0.5 in b 11.251 * [backup-simplify]: Simplify 0.5 into 0.5 11.251 * [taylor]: Taking taylor expansion of (/ PI b) in b 11.251 * [taylor]: Taking taylor expansion of PI in b 11.251 * [backup-simplify]: Simplify PI into PI 11.251 * [taylor]: Taking taylor expansion of b in b 11.251 * [backup-simplify]: Simplify 0 into 0 11.251 * [backup-simplify]: Simplify 1 into 1 11.251 * [backup-simplify]: Simplify (/ PI 1) into PI 11.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.253 * [backup-simplify]: Simplify (- 0) into 0 11.253 * [backup-simplify]: Simplify 0 into 0 11.254 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.254 * [backup-simplify]: Simplify 0 into 0 11.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.255 * [backup-simplify]: Simplify (+ 0 0) into 0 11.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 11.256 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 0.5 (/ PI (pow b 2))) 11.256 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.256 * [taylor]: Taking taylor expansion of 0.5 in b 11.256 * [backup-simplify]: Simplify 0.5 into 0.5 11.256 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.256 * [taylor]: Taking taylor expansion of PI in b 11.256 * [backup-simplify]: Simplify PI into PI 11.256 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.256 * [taylor]: Taking taylor expansion of b in b 11.256 * [backup-simplify]: Simplify 0 into 0 11.256 * [backup-simplify]: Simplify 1 into 1 11.256 * [backup-simplify]: Simplify (* 1 1) into 1 11.257 * [backup-simplify]: Simplify (/ PI 1) into PI 11.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.267 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.267 * [backup-simplify]: Simplify 0 into 0 11.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.270 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.270 * [backup-simplify]: Simplify (- 0) into 0 11.270 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.272 * [backup-simplify]: Simplify 0 into 0 11.272 * [backup-simplify]: Simplify 0 into 0 11.273 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ PI (+ (/ 1 b) (/ 1 a)))) 11.273 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 11.273 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 b) (/ 1 a)))) in b 11.273 * [taylor]: Taking taylor expansion of -0.5 in b 11.273 * [backup-simplify]: Simplify -0.5 into -0.5 11.273 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b 11.273 * [taylor]: Taking taylor expansion of PI in b 11.273 * [backup-simplify]: Simplify PI into PI 11.274 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 11.274 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.274 * [taylor]: Taking taylor expansion of b in b 11.274 * [backup-simplify]: Simplify 0 into 0 11.274 * [backup-simplify]: Simplify 1 into 1 11.274 * [backup-simplify]: Simplify (/ 1 1) into 1 11.274 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.274 * [taylor]: Taking taylor expansion of a in b 11.274 * [backup-simplify]: Simplify a into a 11.274 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.275 * [backup-simplify]: Simplify (+ 1 0) into 1 11.275 * [backup-simplify]: Simplify (/ PI 1) into PI 11.275 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 b) (/ 1 a)))) in a 11.275 * [taylor]: Taking taylor expansion of -0.5 in a 11.275 * [backup-simplify]: Simplify -0.5 into -0.5 11.276 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a 11.276 * [taylor]: Taking taylor expansion of PI in a 11.276 * [backup-simplify]: Simplify PI into PI 11.276 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.276 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.276 * [taylor]: Taking taylor expansion of b in a 11.276 * [backup-simplify]: Simplify b into b 11.276 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.276 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.276 * [taylor]: Taking taylor expansion of a in a 11.276 * [backup-simplify]: Simplify 0 into 0 11.276 * [backup-simplify]: Simplify 1 into 1 11.276 * [backup-simplify]: Simplify (/ 1 1) into 1 11.277 * [backup-simplify]: Simplify (+ 0 1) into 1 11.277 * [backup-simplify]: Simplify (/ PI 1) into PI 11.277 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 b) (/ 1 a)))) in a 11.277 * [taylor]: Taking taylor expansion of -0.5 in a 11.277 * [backup-simplify]: Simplify -0.5 into -0.5 11.277 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in a 11.277 * [taylor]: Taking taylor expansion of PI in a 11.277 * [backup-simplify]: Simplify PI into PI 11.277 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.277 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.278 * [taylor]: Taking taylor expansion of b in a 11.278 * [backup-simplify]: Simplify b into b 11.278 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.278 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.278 * [taylor]: Taking taylor expansion of a in a 11.278 * [backup-simplify]: Simplify 0 into 0 11.278 * [backup-simplify]: Simplify 1 into 1 11.278 * [backup-simplify]: Simplify (/ 1 1) into 1 11.278 * [backup-simplify]: Simplify (+ 0 1) into 1 11.279 * [backup-simplify]: Simplify (/ PI 1) into PI 11.280 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 11.280 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 11.280 * [taylor]: Taking taylor expansion of -0.5 in b 11.280 * [backup-simplify]: Simplify -0.5 into -0.5 11.280 * [taylor]: Taking taylor expansion of PI in b 11.280 * [backup-simplify]: Simplify PI into PI 11.280 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 11.280 * [backup-simplify]: Simplify 0 into 0 11.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.281 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 11.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 11.282 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI b))) (* 0 PI)) into (* 0.5 (/ PI b)) 11.282 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 11.282 * [taylor]: Taking taylor expansion of 0.5 in b 11.283 * [backup-simplify]: Simplify 0.5 into 0.5 11.283 * [taylor]: Taking taylor expansion of (/ PI b) in b 11.283 * [taylor]: Taking taylor expansion of PI in b 11.283 * [backup-simplify]: Simplify PI into PI 11.283 * [taylor]: Taking taylor expansion of b in b 11.283 * [backup-simplify]: Simplify 0 into 0 11.283 * [backup-simplify]: Simplify 1 into 1 11.283 * [backup-simplify]: Simplify (/ PI 1) into PI 11.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.285 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.286 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.286 * [backup-simplify]: Simplify 0 into 0 11.288 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.288 * [backup-simplify]: Simplify 0 into 0 11.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.290 * [backup-simplify]: Simplify (+ 0 0) into 0 11.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 11.292 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 11.292 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 11.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.292 * [taylor]: Taking taylor expansion of 0.5 in b 11.292 * [backup-simplify]: Simplify 0.5 into 0.5 11.292 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.292 * [taylor]: Taking taylor expansion of PI in b 11.292 * [backup-simplify]: Simplify PI into PI 11.292 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.292 * [taylor]: Taking taylor expansion of b in b 11.292 * [backup-simplify]: Simplify 0 into 0 11.292 * [backup-simplify]: Simplify 1 into 1 11.292 * [backup-simplify]: Simplify (* 1 1) into 1 11.293 * [backup-simplify]: Simplify (/ PI 1) into PI 11.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.301 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.301 * [backup-simplify]: Simplify (- 0) into 0 11.302 * [backup-simplify]: Simplify 0 into 0 11.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.304 * [backup-simplify]: Simplify 0 into 0 11.305 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.305 * [backup-simplify]: Simplify 0 into 0 11.305 * [backup-simplify]: Simplify 0 into 0 11.305 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.306 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) into (* 0.5 (/ PI (* (- b a) (+ a b)))) 11.306 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in (a b) around 0 11.306 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in b 11.306 * [taylor]: Taking taylor expansion of 0.5 in b 11.306 * [backup-simplify]: Simplify 0.5 into 0.5 11.306 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in b 11.306 * [taylor]: Taking taylor expansion of PI in b 11.306 * [backup-simplify]: Simplify PI into PI 11.306 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 11.306 * [taylor]: Taking taylor expansion of (- b a) in b 11.307 * [taylor]: Taking taylor expansion of b in b 11.307 * [backup-simplify]: Simplify 0 into 0 11.307 * [backup-simplify]: Simplify 1 into 1 11.307 * [taylor]: Taking taylor expansion of a in b 11.307 * [backup-simplify]: Simplify a into a 11.307 * [taylor]: Taking taylor expansion of (+ a b) in b 11.307 * [taylor]: Taking taylor expansion of a in b 11.307 * [backup-simplify]: Simplify a into a 11.307 * [taylor]: Taking taylor expansion of b in b 11.307 * [backup-simplify]: Simplify 0 into 0 11.307 * [backup-simplify]: Simplify 1 into 1 11.307 * [backup-simplify]: Simplify (- a) into (- a) 11.307 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 11.307 * [backup-simplify]: Simplify (+ a 0) into a 11.307 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 11.307 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 11.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in a 11.307 * [taylor]: Taking taylor expansion of 0.5 in a 11.307 * [backup-simplify]: Simplify 0.5 into 0.5 11.307 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in a 11.307 * [taylor]: Taking taylor expansion of PI in a 11.307 * [backup-simplify]: Simplify PI into PI 11.307 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 11.307 * [taylor]: Taking taylor expansion of (- b a) in a 11.307 * [taylor]: Taking taylor expansion of b in a 11.308 * [backup-simplify]: Simplify b into b 11.308 * [taylor]: Taking taylor expansion of a in a 11.308 * [backup-simplify]: Simplify 0 into 0 11.308 * [backup-simplify]: Simplify 1 into 1 11.308 * [taylor]: Taking taylor expansion of (+ a b) in a 11.308 * [taylor]: Taking taylor expansion of a in a 11.308 * [backup-simplify]: Simplify 0 into 0 11.308 * [backup-simplify]: Simplify 1 into 1 11.308 * [taylor]: Taking taylor expansion of b in a 11.308 * [backup-simplify]: Simplify b into b 11.308 * [backup-simplify]: Simplify (- 0) into 0 11.308 * [backup-simplify]: Simplify (+ b 0) into b 11.308 * [backup-simplify]: Simplify (+ 0 b) into b 11.308 * [backup-simplify]: Simplify (* b b) into (pow b 2) 11.309 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 11.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in a 11.309 * [taylor]: Taking taylor expansion of 0.5 in a 11.309 * [backup-simplify]: Simplify 0.5 into 0.5 11.309 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in a 11.309 * [taylor]: Taking taylor expansion of PI in a 11.309 * [backup-simplify]: Simplify PI into PI 11.309 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 11.309 * [taylor]: Taking taylor expansion of (- b a) in a 11.309 * [taylor]: Taking taylor expansion of b in a 11.309 * [backup-simplify]: Simplify b into b 11.309 * [taylor]: Taking taylor expansion of a in a 11.309 * [backup-simplify]: Simplify 0 into 0 11.309 * [backup-simplify]: Simplify 1 into 1 11.309 * [taylor]: Taking taylor expansion of (+ a b) in a 11.309 * [taylor]: Taking taylor expansion of a in a 11.309 * [backup-simplify]: Simplify 0 into 0 11.309 * [backup-simplify]: Simplify 1 into 1 11.309 * [taylor]: Taking taylor expansion of b in a 11.309 * [backup-simplify]: Simplify b into b 11.310 * [backup-simplify]: Simplify (- 0) into 0 11.310 * [backup-simplify]: Simplify (+ b 0) into b 11.310 * [backup-simplify]: Simplify (+ 0 b) into b 11.310 * [backup-simplify]: Simplify (* b b) into (pow b 2) 11.310 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 11.310 * [backup-simplify]: Simplify (* 0.5 (/ PI (pow b 2))) into (* 0.5 (/ PI (pow b 2))) 11.310 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.310 * [taylor]: Taking taylor expansion of 0.5 in b 11.310 * [backup-simplify]: Simplify 0.5 into 0.5 11.310 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.310 * [taylor]: Taking taylor expansion of PI in b 11.310 * [backup-simplify]: Simplify PI into PI 11.310 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.310 * [taylor]: Taking taylor expansion of b in b 11.310 * [backup-simplify]: Simplify 0 into 0 11.310 * [backup-simplify]: Simplify 1 into 1 11.311 * [backup-simplify]: Simplify (* 1 1) into 1 11.311 * [backup-simplify]: Simplify (/ PI 1) into PI 11.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.316 * [backup-simplify]: Simplify 0 into 0 11.316 * [backup-simplify]: Simplify (+ 1 0) into 1 11.316 * [backup-simplify]: Simplify (- 1) into -1 11.317 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.317 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 11.317 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 11.318 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ PI (pow b 2)))) into 0 11.318 * [taylor]: Taking taylor expansion of 0 in b 11.318 * [backup-simplify]: Simplify 0 into 0 11.318 * [backup-simplify]: Simplify 0 into 0 11.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.321 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.321 * [backup-simplify]: Simplify 0 into 0 11.322 * [backup-simplify]: Simplify (+ 0 0) into 0 11.322 * [backup-simplify]: Simplify (- 0) into 0 11.323 * [backup-simplify]: Simplify (+ 0 0) into 0 11.323 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 11.324 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* 0 (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 11.325 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 0.5 (/ PI (pow b 4))) 11.325 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 11.325 * [taylor]: Taking taylor expansion of 0.5 in b 11.325 * [backup-simplify]: Simplify 0.5 into 0.5 11.325 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 11.325 * [taylor]: Taking taylor expansion of PI in b 11.325 * [backup-simplify]: Simplify PI into PI 11.325 * [taylor]: Taking taylor expansion of (pow b 4) in b 11.325 * [taylor]: Taking taylor expansion of b in b 11.325 * [backup-simplify]: Simplify 0 into 0 11.325 * [backup-simplify]: Simplify 1 into 1 11.326 * [backup-simplify]: Simplify (* 1 1) into 1 11.326 * [backup-simplify]: Simplify (* 1 1) into 1 11.327 * [backup-simplify]: Simplify (/ PI 1) into PI 11.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.339 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.339 * [backup-simplify]: Simplify 0 into 0 11.340 * [backup-simplify]: Simplify 0 into 0 11.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.344 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.344 * [backup-simplify]: Simplify 0 into 0 11.344 * [backup-simplify]: Simplify 0 into 0 11.345 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) (/ 1.0 (- (/ 1 b) (/ 1 a)))) into (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) 11.345 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 11.345 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in b 11.345 * [taylor]: Taking taylor expansion of 0.5 in b 11.345 * [backup-simplify]: Simplify 0.5 into 0.5 11.345 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 11.345 * [taylor]: Taking taylor expansion of PI in b 11.345 * [backup-simplify]: Simplify PI into PI 11.345 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 11.345 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 11.345 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.345 * [taylor]: Taking taylor expansion of b in b 11.345 * [backup-simplify]: Simplify 0 into 0 11.345 * [backup-simplify]: Simplify 1 into 1 11.346 * [backup-simplify]: Simplify (/ 1 1) into 1 11.346 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.346 * [taylor]: Taking taylor expansion of a in b 11.346 * [backup-simplify]: Simplify a into a 11.346 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.346 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 11.346 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.346 * [taylor]: Taking taylor expansion of b in b 11.346 * [backup-simplify]: Simplify 0 into 0 11.346 * [backup-simplify]: Simplify 1 into 1 11.346 * [backup-simplify]: Simplify (/ 1 1) into 1 11.346 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.346 * [taylor]: Taking taylor expansion of a in b 11.346 * [backup-simplify]: Simplify a into a 11.346 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.347 * [backup-simplify]: Simplify (+ 1 0) into 1 11.347 * [backup-simplify]: Simplify (+ 1 0) into 1 11.347 * [backup-simplify]: Simplify (* 1 1) into 1 11.348 * [backup-simplify]: Simplify (/ PI 1) into PI 11.348 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 11.348 * [taylor]: Taking taylor expansion of 0.5 in a 11.348 * [backup-simplify]: Simplify 0.5 into 0.5 11.348 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 11.348 * [taylor]: Taking taylor expansion of PI in a 11.348 * [backup-simplify]: Simplify PI into PI 11.348 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 11.348 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 11.348 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.348 * [taylor]: Taking taylor expansion of b in a 11.348 * [backup-simplify]: Simplify b into b 11.348 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.348 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.348 * [taylor]: Taking taylor expansion of a in a 11.348 * [backup-simplify]: Simplify 0 into 0 11.348 * [backup-simplify]: Simplify 1 into 1 11.349 * [backup-simplify]: Simplify (/ 1 1) into 1 11.349 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.349 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.349 * [taylor]: Taking taylor expansion of b in a 11.349 * [backup-simplify]: Simplify b into b 11.349 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.349 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.349 * [taylor]: Taking taylor expansion of a in a 11.349 * [backup-simplify]: Simplify 0 into 0 11.349 * [backup-simplify]: Simplify 1 into 1 11.349 * [backup-simplify]: Simplify (/ 1 1) into 1 11.350 * [backup-simplify]: Simplify (- 1) into -1 11.350 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.351 * [backup-simplify]: Simplify (+ 0 1) into 1 11.351 * [backup-simplify]: Simplify (* -1 1) into -1 11.351 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 11.351 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 11.351 * [taylor]: Taking taylor expansion of 0.5 in a 11.352 * [backup-simplify]: Simplify 0.5 into 0.5 11.352 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 11.352 * [taylor]: Taking taylor expansion of PI in a 11.352 * [backup-simplify]: Simplify PI into PI 11.352 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 11.352 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 11.352 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.352 * [taylor]: Taking taylor expansion of b in a 11.352 * [backup-simplify]: Simplify b into b 11.352 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.352 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.352 * [taylor]: Taking taylor expansion of a in a 11.352 * [backup-simplify]: Simplify 0 into 0 11.352 * [backup-simplify]: Simplify 1 into 1 11.352 * [backup-simplify]: Simplify (/ 1 1) into 1 11.352 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.352 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.352 * [taylor]: Taking taylor expansion of b in a 11.352 * [backup-simplify]: Simplify b into b 11.352 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.352 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.352 * [taylor]: Taking taylor expansion of a in a 11.352 * [backup-simplify]: Simplify 0 into 0 11.353 * [backup-simplify]: Simplify 1 into 1 11.353 * [backup-simplify]: Simplify (/ 1 1) into 1 11.353 * [backup-simplify]: Simplify (- 1) into -1 11.354 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.354 * [backup-simplify]: Simplify (+ 0 1) into 1 11.354 * [backup-simplify]: Simplify (* -1 1) into -1 11.355 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 11.356 * [backup-simplify]: Simplify (* 0.5 (* -1 PI)) into (* -0.5 PI) 11.356 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 11.356 * [taylor]: Taking taylor expansion of -0.5 in b 11.356 * [backup-simplify]: Simplify -0.5 into -0.5 11.356 * [taylor]: Taking taylor expansion of PI in b 11.356 * [backup-simplify]: Simplify PI into PI 11.357 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.357 * [backup-simplify]: Simplify 0 into 0 11.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.358 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 11.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.359 * [backup-simplify]: Simplify (- 0) into 0 11.359 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 11.360 * [backup-simplify]: Simplify (+ (* -1 (/ 1 b)) (* (/ 1 b) 1)) into 0 11.360 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 11.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 PI))) into 0 11.361 * [taylor]: Taking taylor expansion of 0 in b 11.362 * [backup-simplify]: Simplify 0 into 0 11.362 * [backup-simplify]: Simplify 0 into 0 11.363 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.363 * [backup-simplify]: Simplify 0 into 0 11.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.365 * [backup-simplify]: Simplify (+ 0 0) into 0 11.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.366 * [backup-simplify]: Simplify (- 0) into 0 11.366 * [backup-simplify]: Simplify (+ 0 0) into 0 11.368 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 1))) into (/ 1 (pow b 2)) 11.369 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 11.371 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 0.5 (/ PI (pow b 2)))) 11.371 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 11.371 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.371 * [taylor]: Taking taylor expansion of 0.5 in b 11.371 * [backup-simplify]: Simplify 0.5 into 0.5 11.371 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.371 * [taylor]: Taking taylor expansion of PI in b 11.371 * [backup-simplify]: Simplify PI into PI 11.371 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.371 * [taylor]: Taking taylor expansion of b in b 11.371 * [backup-simplify]: Simplify 0 into 0 11.371 * [backup-simplify]: Simplify 1 into 1 11.371 * [backup-simplify]: Simplify (* 1 1) into 1 11.372 * [backup-simplify]: Simplify (/ PI 1) into PI 11.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.374 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.383 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.383 * [backup-simplify]: Simplify (- 0) into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.383 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.385 * [backup-simplify]: Simplify 0 into 0 11.385 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) 11.386 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in (a b) around 0 11.386 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in b 11.386 * [taylor]: Taking taylor expansion of -0.5 in b 11.386 * [backup-simplify]: Simplify -0.5 into -0.5 11.386 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in b 11.386 * [taylor]: Taking taylor expansion of PI in b 11.386 * [backup-simplify]: Simplify PI into PI 11.386 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in b 11.386 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 11.386 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.386 * [taylor]: Taking taylor expansion of a in b 11.386 * [backup-simplify]: Simplify a into a 11.386 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.386 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.386 * [taylor]: Taking taylor expansion of b in b 11.386 * [backup-simplify]: Simplify 0 into 0 11.386 * [backup-simplify]: Simplify 1 into 1 11.387 * [backup-simplify]: Simplify (/ 1 1) into 1 11.387 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 11.387 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.387 * [taylor]: Taking taylor expansion of b in b 11.387 * [backup-simplify]: Simplify 0 into 0 11.387 * [backup-simplify]: Simplify 1 into 1 11.387 * [backup-simplify]: Simplify (/ 1 1) into 1 11.387 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.387 * [taylor]: Taking taylor expansion of a in b 11.387 * [backup-simplify]: Simplify a into a 11.388 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.388 * [backup-simplify]: Simplify (- 1) into -1 11.388 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.389 * [backup-simplify]: Simplify (+ 1 0) into 1 11.389 * [backup-simplify]: Simplify (* -1 1) into -1 11.390 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 11.390 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 11.390 * [taylor]: Taking taylor expansion of -0.5 in a 11.390 * [backup-simplify]: Simplify -0.5 into -0.5 11.390 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 11.390 * [taylor]: Taking taylor expansion of PI in a 11.390 * [backup-simplify]: Simplify PI into PI 11.390 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 11.390 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 11.390 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.390 * [taylor]: Taking taylor expansion of a in a 11.390 * [backup-simplify]: Simplify 0 into 0 11.390 * [backup-simplify]: Simplify 1 into 1 11.391 * [backup-simplify]: Simplify (/ 1 1) into 1 11.391 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.391 * [taylor]: Taking taylor expansion of b in a 11.391 * [backup-simplify]: Simplify b into b 11.391 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.391 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.391 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.391 * [taylor]: Taking taylor expansion of b in a 11.391 * [backup-simplify]: Simplify b into b 11.391 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.391 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.391 * [taylor]: Taking taylor expansion of a in a 11.391 * [backup-simplify]: Simplify 0 into 0 11.391 * [backup-simplify]: Simplify 1 into 1 11.392 * [backup-simplify]: Simplify (/ 1 1) into 1 11.392 * [backup-simplify]: Simplify (+ 1 0) into 1 11.393 * [backup-simplify]: Simplify (+ 0 1) into 1 11.393 * [backup-simplify]: Simplify (* 1 1) into 1 11.394 * [backup-simplify]: Simplify (/ PI 1) into PI 11.394 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 11.394 * [taylor]: Taking taylor expansion of -0.5 in a 11.394 * [backup-simplify]: Simplify -0.5 into -0.5 11.394 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 11.394 * [taylor]: Taking taylor expansion of PI in a 11.394 * [backup-simplify]: Simplify PI into PI 11.394 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 11.394 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 11.394 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.394 * [taylor]: Taking taylor expansion of a in a 11.394 * [backup-simplify]: Simplify 0 into 0 11.394 * [backup-simplify]: Simplify 1 into 1 11.395 * [backup-simplify]: Simplify (/ 1 1) into 1 11.395 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.395 * [taylor]: Taking taylor expansion of b in a 11.395 * [backup-simplify]: Simplify b into b 11.395 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.395 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 11.395 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.395 * [taylor]: Taking taylor expansion of b in a 11.395 * [backup-simplify]: Simplify b into b 11.395 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.395 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.395 * [taylor]: Taking taylor expansion of a in a 11.395 * [backup-simplify]: Simplify 0 into 0 11.395 * [backup-simplify]: Simplify 1 into 1 11.395 * [backup-simplify]: Simplify (/ 1 1) into 1 11.396 * [backup-simplify]: Simplify (+ 1 0) into 1 11.396 * [backup-simplify]: Simplify (+ 0 1) into 1 11.397 * [backup-simplify]: Simplify (* 1 1) into 1 11.397 * [backup-simplify]: Simplify (/ PI 1) into PI 11.398 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 11.398 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 11.398 * [taylor]: Taking taylor expansion of -0.5 in b 11.398 * [backup-simplify]: Simplify -0.5 into -0.5 11.398 * [taylor]: Taking taylor expansion of PI in b 11.398 * [backup-simplify]: Simplify PI into PI 11.399 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.399 * [backup-simplify]: Simplify 0 into 0 11.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.400 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 11.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.401 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 11.401 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 11.401 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (- (/ 1 b)) 1)) into 0 11.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.404 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 11.404 * [taylor]: Taking taylor expansion of 0 in b 11.404 * [backup-simplify]: Simplify 0 into 0 11.404 * [backup-simplify]: Simplify 0 into 0 11.405 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.406 * [backup-simplify]: Simplify 0 into 0 11.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.407 * [backup-simplify]: Simplify (+ 0 0) into 0 11.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.408 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.409 * [backup-simplify]: Simplify (- 0) into 0 11.409 * [backup-simplify]: Simplify (+ 0 0) into 0 11.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) (/ 1 b)) (* 0 1))) into (- (/ 1 (pow b 2))) 11.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 11.413 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 11.413 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 11.413 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.413 * [taylor]: Taking taylor expansion of 0.5 in b 11.413 * [backup-simplify]: Simplify 0.5 into 0.5 11.413 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.413 * [taylor]: Taking taylor expansion of PI in b 11.414 * [backup-simplify]: Simplify PI into PI 11.414 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.414 * [taylor]: Taking taylor expansion of b in b 11.414 * [backup-simplify]: Simplify 0 into 0 11.414 * [backup-simplify]: Simplify 1 into 1 11.414 * [backup-simplify]: Simplify (* 1 1) into 1 11.415 * [backup-simplify]: Simplify (/ PI 1) into PI 11.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.418 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.432 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.433 * [backup-simplify]: Simplify (- 0) into 0 11.433 * [backup-simplify]: Simplify 0 into 0 11.433 * [backup-simplify]: Simplify 0 into 0 11.440 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.440 * [backup-simplify]: Simplify 0 into 0 11.440 * [backup-simplify]: Simplify 0 into 0 11.440 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 11.441 * [backup-simplify]: Simplify (- (/ 1.0 a) (/ 1.0 b)) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 11.441 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in (a b) around 0 11.441 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 11.441 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 11.441 * [taylor]: Taking taylor expansion of 1.0 in b 11.441 * [backup-simplify]: Simplify 1.0 into 1.0 11.441 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.441 * [taylor]: Taking taylor expansion of a in b 11.441 * [backup-simplify]: Simplify a into a 11.441 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.441 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 11.441 * [taylor]: Taking taylor expansion of 1.0 in b 11.441 * [backup-simplify]: Simplify 1.0 into 1.0 11.441 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.441 * [taylor]: Taking taylor expansion of b in b 11.441 * [backup-simplify]: Simplify 0 into 0 11.441 * [backup-simplify]: Simplify 1 into 1 11.442 * [backup-simplify]: Simplify (/ 1 1) into 1 11.442 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 11.442 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 11.442 * [taylor]: Taking taylor expansion of 1.0 in a 11.442 * [backup-simplify]: Simplify 1.0 into 1.0 11.442 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.442 * [taylor]: Taking taylor expansion of a in a 11.442 * [backup-simplify]: Simplify 0 into 0 11.442 * [backup-simplify]: Simplify 1 into 1 11.443 * [backup-simplify]: Simplify (/ 1 1) into 1 11.443 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 11.443 * [taylor]: Taking taylor expansion of 1.0 in a 11.443 * [backup-simplify]: Simplify 1.0 into 1.0 11.443 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.443 * [taylor]: Taking taylor expansion of b in a 11.443 * [backup-simplify]: Simplify b into b 11.443 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.443 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 11.443 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 11.443 * [taylor]: Taking taylor expansion of 1.0 in a 11.443 * [backup-simplify]: Simplify 1.0 into 1.0 11.443 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.443 * [taylor]: Taking taylor expansion of a in a 11.443 * [backup-simplify]: Simplify 0 into 0 11.443 * [backup-simplify]: Simplify 1 into 1 11.444 * [backup-simplify]: Simplify (/ 1 1) into 1 11.444 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 11.444 * [taylor]: Taking taylor expansion of 1.0 in a 11.444 * [backup-simplify]: Simplify 1.0 into 1.0 11.444 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.444 * [taylor]: Taking taylor expansion of b in a 11.444 * [backup-simplify]: Simplify b into b 11.444 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.444 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.445 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.445 * [taylor]: Taking taylor expansion of 1.0 in b 11.445 * [backup-simplify]: Simplify 1.0 into 1.0 11.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.446 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 11.446 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 11.446 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 11.446 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 11.446 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b))) in b 11.446 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 11.446 * [taylor]: Taking taylor expansion of 1.0 in b 11.446 * [backup-simplify]: Simplify 1.0 into 1.0 11.447 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.447 * [taylor]: Taking taylor expansion of b in b 11.447 * [backup-simplify]: Simplify 0 into 0 11.447 * [backup-simplify]: Simplify 1 into 1 11.447 * [backup-simplify]: Simplify (/ 1 1) into 1 11.447 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 11.447 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.448 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.448 * [backup-simplify]: Simplify 1.0 into 1.0 11.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.449 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 11.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.449 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 11.449 * [backup-simplify]: Simplify (- 0) into 0 11.450 * [backup-simplify]: Simplify (+ 0 0) into 0 11.450 * [taylor]: Taking taylor expansion of 0 in b 11.450 * [backup-simplify]: Simplify 0 into 0 11.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.450 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 11.451 * [backup-simplify]: Simplify (- 0) into 0 11.451 * [backup-simplify]: Simplify 0 into 0 11.451 * [backup-simplify]: Simplify 0 into 0 11.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.452 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 11.453 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 11.453 * [backup-simplify]: Simplify (- 0) into 0 11.453 * [backup-simplify]: Simplify (+ 0 0) into 0 11.453 * [taylor]: Taking taylor expansion of 0 in b 11.453 * [backup-simplify]: Simplify 0 into 0 11.453 * [backup-simplify]: Simplify 0 into 0 11.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.455 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 11.455 * [backup-simplify]: Simplify (- 0) into 0 11.455 * [backup-simplify]: Simplify 0 into 0 11.455 * [backup-simplify]: Simplify 0 into 0 11.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.457 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 11.459 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 11.459 * [backup-simplify]: Simplify (- 0) into 0 11.460 * [backup-simplify]: Simplify (+ 0 0) into 0 11.460 * [taylor]: Taking taylor expansion of 0 in b 11.460 * [backup-simplify]: Simplify 0 into 0 11.460 * [backup-simplify]: Simplify 0 into 0 11.460 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 a))) (* (- 1.0) (* (/ 1 b) 1))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 11.460 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) into (- (* 1.0 a) (* 1.0 b)) 11.461 * [approximate]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in (a b) around 0 11.461 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 11.461 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 11.461 * [taylor]: Taking taylor expansion of 1.0 in b 11.461 * [backup-simplify]: Simplify 1.0 into 1.0 11.461 * [taylor]: Taking taylor expansion of a in b 11.461 * [backup-simplify]: Simplify a into a 11.461 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 11.461 * [taylor]: Taking taylor expansion of 1.0 in b 11.461 * [backup-simplify]: Simplify 1.0 into 1.0 11.461 * [taylor]: Taking taylor expansion of b in b 11.461 * [backup-simplify]: Simplify 0 into 0 11.461 * [backup-simplify]: Simplify 1 into 1 11.461 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 11.461 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 11.461 * [taylor]: Taking taylor expansion of 1.0 in a 11.461 * [backup-simplify]: Simplify 1.0 into 1.0 11.461 * [taylor]: Taking taylor expansion of a in a 11.461 * [backup-simplify]: Simplify 0 into 0 11.461 * [backup-simplify]: Simplify 1 into 1 11.461 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 11.461 * [taylor]: Taking taylor expansion of 1.0 in a 11.461 * [backup-simplify]: Simplify 1.0 into 1.0 11.461 * [taylor]: Taking taylor expansion of b in a 11.461 * [backup-simplify]: Simplify b into b 11.461 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 11.461 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 11.461 * [taylor]: Taking taylor expansion of 1.0 in a 11.461 * [backup-simplify]: Simplify 1.0 into 1.0 11.461 * [taylor]: Taking taylor expansion of a in a 11.461 * [backup-simplify]: Simplify 0 into 0 11.461 * [backup-simplify]: Simplify 1 into 1 11.461 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 11.461 * [taylor]: Taking taylor expansion of 1.0 in a 11.462 * [backup-simplify]: Simplify 1.0 into 1.0 11.462 * [taylor]: Taking taylor expansion of b in a 11.462 * [backup-simplify]: Simplify b into b 11.463 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.463 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 11.463 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 11.463 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 11.463 * [taylor]: Taking taylor expansion of (- (* 1.0 b)) in b 11.463 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 11.463 * [taylor]: Taking taylor expansion of 1.0 in b 11.463 * [backup-simplify]: Simplify 1.0 into 1.0 11.463 * [taylor]: Taking taylor expansion of b in b 11.463 * [backup-simplify]: Simplify 0 into 0 11.463 * [backup-simplify]: Simplify 1 into 1 11.464 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.464 * [backup-simplify]: Simplify (- 0) into 0 11.464 * [backup-simplify]: Simplify 0 into 0 11.466 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.467 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 11.467 * [backup-simplify]: Simplify (- 0) into 0 11.468 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.468 * [taylor]: Taking taylor expansion of 1.0 in b 11.468 * [backup-simplify]: Simplify 1.0 into 1.0 11.468 * [backup-simplify]: Simplify 1.0 into 1.0 11.469 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.470 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.470 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.471 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.472 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 11.472 * [backup-simplify]: Simplify (- 0) into 0 11.473 * [backup-simplify]: Simplify (+ 0 0) into 0 11.473 * [taylor]: Taking taylor expansion of 0 in b 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 0 into 0 11.473 * [backup-simplify]: Simplify 0 into 0 11.474 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.474 * [backup-simplify]: Simplify (- 0) into 0 11.474 * [backup-simplify]: Simplify 0 into 0 11.475 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.476 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 11.476 * [backup-simplify]: Simplify (- 0) into 0 11.477 * [backup-simplify]: Simplify (+ 0 0) into 0 11.477 * [taylor]: Taking taylor expansion of 0 in b 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify 0 into 0 11.477 * [backup-simplify]: Simplify 0 into 0 11.478 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 b) 1)) (* 1.0 (* 1 (/ 1 a)))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 11.478 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) into (- (* 1.0 b) (* 1.0 a)) 11.478 * [approximate]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in (a b) around 0 11.478 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 11.478 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 11.478 * [taylor]: Taking taylor expansion of 1.0 in b 11.478 * [backup-simplify]: Simplify 1.0 into 1.0 11.478 * [taylor]: Taking taylor expansion of b in b 11.478 * [backup-simplify]: Simplify 0 into 0 11.478 * [backup-simplify]: Simplify 1 into 1 11.478 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 11.478 * [taylor]: Taking taylor expansion of 1.0 in b 11.478 * [backup-simplify]: Simplify 1.0 into 1.0 11.478 * [taylor]: Taking taylor expansion of a in b 11.478 * [backup-simplify]: Simplify a into a 11.479 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 11.479 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 11.479 * [taylor]: Taking taylor expansion of 1.0 in a 11.479 * [backup-simplify]: Simplify 1.0 into 1.0 11.479 * [taylor]: Taking taylor expansion of b in a 11.479 * [backup-simplify]: Simplify b into b 11.479 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 11.479 * [taylor]: Taking taylor expansion of 1.0 in a 11.479 * [backup-simplify]: Simplify 1.0 into 1.0 11.479 * [taylor]: Taking taylor expansion of a in a 11.479 * [backup-simplify]: Simplify 0 into 0 11.479 * [backup-simplify]: Simplify 1 into 1 11.479 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 11.479 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 11.479 * [taylor]: Taking taylor expansion of 1.0 in a 11.479 * [backup-simplify]: Simplify 1.0 into 1.0 11.479 * [taylor]: Taking taylor expansion of b in a 11.479 * [backup-simplify]: Simplify b into b 11.479 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 11.479 * [taylor]: Taking taylor expansion of 1.0 in a 11.479 * [backup-simplify]: Simplify 1.0 into 1.0 11.479 * [taylor]: Taking taylor expansion of a in a 11.479 * [backup-simplify]: Simplify 0 into 0 11.479 * [backup-simplify]: Simplify 1 into 1 11.479 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 11.480 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.480 * [backup-simplify]: Simplify (- 0) into 0 11.481 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 11.481 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 11.481 * [taylor]: Taking taylor expansion of 1.0 in b 11.481 * [backup-simplify]: Simplify 1.0 into 1.0 11.481 * [taylor]: Taking taylor expansion of b in b 11.481 * [backup-simplify]: Simplify 0 into 0 11.481 * [backup-simplify]: Simplify 1 into 1 11.481 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.481 * [backup-simplify]: Simplify 0 into 0 11.482 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 11.483 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.483 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.484 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 11.484 * [taylor]: Taking taylor expansion of (- 1.0) in b 11.484 * [taylor]: Taking taylor expansion of 1.0 in b 11.484 * [backup-simplify]: Simplify 1.0 into 1.0 11.485 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.485 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.486 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.486 * [backup-simplify]: Simplify 1.0 into 1.0 11.487 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 11.488 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.488 * [backup-simplify]: Simplify (- 0) into 0 11.489 * [backup-simplify]: Simplify (+ 0 0) into 0 11.489 * [taylor]: Taking taylor expansion of 0 in b 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify 0 into 0 11.489 * [backup-simplify]: Simplify (- 0) into 0 11.489 * [backup-simplify]: Simplify 0 into 0 11.490 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.490 * [backup-simplify]: Simplify 0 into 0 11.492 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 11.493 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 11.493 * [backup-simplify]: Simplify (- 0) into 0 11.494 * [backup-simplify]: Simplify (+ 0 0) into 0 11.494 * [taylor]: Taking taylor expansion of 0 in b 11.494 * [backup-simplify]: Simplify 0 into 0 11.494 * [backup-simplify]: Simplify 0 into 0 11.494 * [backup-simplify]: Simplify 0 into 0 11.494 * [backup-simplify]: Simplify (- 0) into 0 11.494 * [backup-simplify]: Simplify 0 into 0 11.495 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- b)) 1)) (* (- 1.0) (* 1 (/ 1 (- a))))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 11.495 * * * [progress]: simplifying candidates 11.500 * [simplify]: Simplifying: (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ a b))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ a b))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ a b))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ a b))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ a b))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ a b))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 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11.762 * * [simplify]: iteration 1: 1303 enodes 12.992 * * [simplify]: iteration complete: 5000 enodes 12.993 * * [simplify]: Extracting #0: cost 240 inf + 0 12.999 * * [simplify]: Extracting #1: cost 1545 inf + 44 13.014 * * [simplify]: Extracting #2: cost 2103 inf + 3756 13.047 * * [simplify]: Extracting #3: cost 1595 inf + 86619 13.157 * * [simplify]: Extracting #4: cost 363 inf + 406508 13.321 * * [simplify]: Extracting #5: cost 25 inf + 511679 13.500 * * [simplify]: Extracting #6: cost 4 inf + 516289 13.697 * * [simplify]: Extracting #7: cost 0 inf + 517261 13.937 * [simplify]: Simplified to: (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (log (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 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(/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a)))) (* (* (/ 1.0 (- b a)) (* (/ 1.0 (- b a)) (/ 1.0 (- b a)))) (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a)))) (* (* (/ 1.0 (- b a)) (* (/ 1.0 (- b a)) (/ 1.0 (- b a)))) (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a)))) (* (* (/ 1.0 (- b a)) (* (/ 1.0 (- b a)) (/ 1.0 (- b a)))) (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a)))) (* (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (* (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)))) (* (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (* (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)))) (* (cbrt (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0))) (cbrt (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)))) (cbrt (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0))) (* (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (* (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)))) (sqrt (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0))) (sqrt (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0))) (* 1.0 (/ PI 2.0)) (* (+ b a) (- b a)) (* (sqrt (/ 1.0 (- b a))) (sqrt (/ (/ PI 2.0) (+ b a)))) (* (sqrt (/ 1.0 (- b a))) (sqrt (/ (/ PI 2.0) (+ b a)))) (* (/ (sqrt 1.0) (sqrt (- b a))) (sqrt (/ (/ PI 2.0) (+ b a)))) (* (/ (sqrt 1.0) (sqrt (- b a))) (sqrt (/ (/ PI 2.0) (+ b a)))) (/ (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- b a)))) (sqrt (+ b a))) (/ (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- b a)))) (sqrt (+ b a))) (* (/ (sqrt (/ PI 2.0)) (sqrt (+ b a))) (/ (sqrt 1.0) (sqrt (- b a)))) (* (/ (sqrt (/ PI 2.0)) (sqrt (+ b a))) (/ (sqrt 1.0) (sqrt (- b a)))) (/ (* (/ (sqrt PI) (sqrt 2.0)) (sqrt (/ 1.0 (- b a)))) (sqrt (+ b a))) (/ (* (/ (sqrt PI) (sqrt 2.0)) (sqrt (/ 1.0 (- b a)))) (sqrt (+ b a))) (* (/ (sqrt 1.0) (sqrt (- b a))) (/ (sqrt PI) (* (sqrt (+ b a)) (sqrt 2.0)))) (* (/ (sqrt 1.0) (sqrt (- b a))) (/ (sqrt PI) (* (sqrt (+ b a)) (sqrt 2.0)))) (/ (* (* (cbrt (/ 1.0 (- b a))) (cbrt (/ 1.0 (- b a)))) PI) (* (+ b a) 2.0)) (/ (* (sqrt (/ 1.0 (- b a))) PI) (* (+ b a) 2.0)) (* (* (/ (cbrt 1.0) (cbrt (- b a))) (/ (cbrt 1.0) (cbrt (- b a)))) (/ (/ PI 2.0) (+ b a))) (/ (/ (/ PI 2.0) (+ b a)) (/ (sqrt (- b a)) (* (cbrt 1.0) (cbrt 1.0)))) (* (* (cbrt 1.0) (cbrt 1.0)) (/ (/ PI 2.0) (+ b a))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ (/ PI 2.0) (+ b a))) (+ (sqrt a) (sqrt b))) (* (* (cbrt 1.0) (cbrt 1.0)) (/ (/ PI 2.0) (+ b a))) (/ (* (/ (/ PI 2.0) (+ b a)) (sqrt 1.0)) (* (cbrt (- b a)) (cbrt (- b a)))) (* (/ (/ PI 2.0) (+ b a)) (/ (sqrt 1.0) (sqrt (- b a)))) (/ (/ PI 2.0) (/ (+ b a) (sqrt 1.0))) (/ (* (sqrt 1.0) (/ (/ PI 2.0) (+ b a))) (+ (sqrt a) (sqrt b))) (/ (/ PI 2.0) (/ (+ b a) (sqrt 1.0))) (/ (/ (/ PI 2.0) (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (/ PI 2.0) (+ b a)) (sqrt (- b a))) (/ (/ PI 2.0) (+ b a)) (/ (/ (/ PI 2.0) (+ b a)) (+ (sqrt a) (sqrt b))) (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a)) (/ (* (/ PI 2.0) 1.0) (+ b a)) (/ (/ (* (/ PI 2.0) 1.0) (+ b a)) (- (* b (* b b)) (* a (* a a)))) (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (* (+ b a) (- b a)))) (/ (cbrt (/ (/ PI 2.0) (+ b a))) (/ (- b a) 1.0)) (* (/ 1.0 (- b a)) (sqrt (/ (/ PI 2.0) (+ b a)))) (/ (* (cbrt (/ PI 2.0)) (/ 1.0 (- b a))) (cbrt (+ b a))) (* (/ (cbrt (/ PI 2.0)) (sqrt (+ b a))) (/ 1.0 (- b a))) (/ (* (/ 1.0 (- b a)) (cbrt (/ PI 2.0))) (+ b a)) (/ (* (/ 1.0 (- b a)) (cbrt (/ PI 2.0))) (+ b a)) (/ (/ (* (sqrt (/ PI 2.0)) 1.0) (cbrt (+ b a))) (- b a)) (/ (* (/ 1.0 (- b a)) (sqrt (/ PI 2.0))) (sqrt (+ b a))) (* (/ 1.0 (- b a)) (/ (sqrt (/ PI 2.0)) (+ b a))) (* (/ 1.0 (- b a)) (/ (sqrt (/ PI 2.0)) (+ b a))) (/ (* (/ 1.0 (- b a)) (/ (cbrt PI) (cbrt 2.0))) (cbrt (+ b a))) (/ (* (cbrt PI) (/ 1.0 (- b a))) (* (sqrt (+ b a)) (cbrt 2.0))) (/ (* 1.0 (/ (/ (cbrt PI) (cbrt 2.0)) (+ b a))) (- b a)) (/ (* 1.0 (/ (/ (cbrt PI) (cbrt 2.0)) (+ b a))) (- b a)) (/ (/ (* (/ (cbrt PI) (sqrt 2.0)) 1.0) (cbrt (+ b a))) (- b a)) (/ (* (/ 1.0 (- b a)) (/ (cbrt PI) (sqrt 2.0))) (sqrt (+ b a))) (* (/ (cbrt PI) (* (sqrt 2.0) (+ b a))) (/ 1.0 (- b a))) (* (/ (cbrt PI) (* (sqrt 2.0) (+ b a))) (/ 1.0 (- b a))) (/ (* (/ 1.0 (- b a)) (cbrt PI)) (* (cbrt (+ b a)) 2.0)) (/ (/ (/ (cbrt PI) (sqrt (+ b a))) 2.0) (/ (- b a) 1.0)) (* (/ 1.0 (- b a)) (/ (/ (cbrt PI) 2.0) (+ b a))) (* (/ 1.0 (- b a)) (/ (/ (cbrt PI) 2.0) (+ b a))) (/ (* (/ 1.0 (- b a)) (sqrt PI)) (* (cbrt (+ b a)) (cbrt 2.0))) (/ (/ (sqrt PI) (cbrt 2.0)) (/ (sqrt (+ b a)) (/ 1.0 (- b a)))) (/ (* 1.0 (/ (/ (sqrt PI) (+ b a)) (cbrt 2.0))) (- b a)) (/ (* 1.0 (/ (/ (sqrt PI) (+ b a)) (cbrt 2.0))) (- b a)) (/ (/ (* (/ (sqrt PI) (sqrt 2.0)) 1.0) (cbrt (+ b a))) (- b a)) (/ (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt (+ b a)) (/ 1.0 (- b a)))) (/ (/ (* (/ (sqrt PI) (sqrt 2.0)) 1.0) (- b a)) (+ b a)) (/ (/ (* (/ (sqrt PI) (sqrt 2.0)) 1.0) (- b a)) (+ b a)) (/ (/ (* (/ (sqrt PI) 2.0) 1.0) (- b a)) (cbrt (+ b a))) (/ (* (/ 1.0 (- b a)) (sqrt PI)) (* (sqrt (+ b a)) 2.0)) (/ (/ (* (/ (sqrt PI) 2.0) 1.0) (- b a)) (+ b a)) (/ (/ (* (/ (sqrt PI) 2.0) 1.0) (- b a)) (+ b a)) (/ (/ (* (/ PI (cbrt 2.0)) 1.0) (cbrt (+ b a))) (- b a)) (/ (/ (* (/ PI (cbrt 2.0)) 1.0) (- b a)) (sqrt (+ b a))) (/ (/ (* (/ PI (cbrt 2.0)) 1.0) (- b a)) (+ b a)) (/ (/ (* (/ PI (cbrt 2.0)) 1.0) (- b a)) (+ b a)) (/ (* (/ PI (sqrt 2.0)) (/ 1.0 (- b a))) (cbrt (+ b a))) (/ (/ (* PI (/ 1.0 (- b a))) (sqrt 2.0)) (sqrt (+ b a))) (/ (/ PI (* (sqrt 2.0) (+ b a))) (/ (- b a) 1.0)) (/ (/ PI (* (sqrt 2.0) (+ b a))) (/ (- b a) 1.0)) (/ (* (/ 1.0 (- b a)) PI) (* (cbrt (+ b a)) 2.0)) (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (sqrt (+ b a))) (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (/ (* (/ 1.0 (- b a)) PI) (* (cbrt (+ b a)) 2.0)) (/ (* (/ 1.0 (- b a)) (/ PI 2.0)) (sqrt (+ b a))) (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (/ (* (/ 1 2.0) (/ 1.0 (- b a))) (cbrt (+ b a))) (* (/ 1.0 (- b a)) (/ (/ 1 (sqrt (+ b a))) 2.0)) (* (/ 1.0 (- b a)) (/ (/ 1 2.0) (+ b a))) (* (/ 1.0 (- b a)) (/ (/ 1 2.0) (+ b a))) (/ (/ (/ PI 2.0) (+ b a)) (/ (- b a) 1.0)) (/ 1.0 (* (+ b a) (- b a))) (/ (+ (* b (- b a)) (* a a)) (/ (- b a) 1.0)) (* (/ 1.0 (- b a)) (- a b)) (/ (* (/ PI 2.0) 1.0) (+ b a)) (/ (* (/ PI 2.0) 1.0) (- b a)) (exp (- (/ 1.0 a) (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (* 1.0 (- b a)) (* b a) (- (* (/ 1.0 a) (* (/ 1.0 a) (/ 1.0 a))) (* (* (/ 1.0 b) (/ 1.0 b)) (/ 1.0 b))) (+ (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a))) (* (/ 1.0 a) (/ 1.0 a))) (/ (- 1.0) b) (* (+ (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (+ (/ 1.0 b) (/ 1.0 a)) (+ (sqrt (/ 1.0 b)) (sqrt (/ 1.0 a))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt b)) (sqrt (/ 1.0 a))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (sqrt (/ 1.0 b)) (/ (sqrt 1.0) (sqrt a))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt a))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (/ (- 1.0) b) 0 0 0 0 0 0 0 0 0 (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) 13.987 * * * [progress]: adding candidates to table 16.225 * * [progress]: iteration 3 / 4 16.225 * * * [progress]: picking best candidate 16.310 * * * * [pick]: Picked # 16.311 * * * [progress]: localizing error 16.360 * * * [progress]: generating rewritten candidates 16.360 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 16.440 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 16.681 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 16.862 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 16.906 * * * [progress]: generating series expansions 16.907 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 16.908 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- b a))) into (* 0.5 (/ PI (- b a))) 16.908 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- b a))) in (b a) around 0 16.908 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- b a))) in a 16.908 * [taylor]: Taking taylor expansion of 0.5 in a 16.908 * [backup-simplify]: Simplify 0.5 into 0.5 16.908 * [taylor]: Taking taylor expansion of (/ PI (- b a)) in a 16.908 * [taylor]: Taking taylor expansion of PI in a 16.908 * [backup-simplify]: Simplify PI into PI 16.908 * [taylor]: Taking taylor expansion of (- b a) in a 16.908 * [taylor]: Taking taylor expansion of b in a 16.908 * [backup-simplify]: Simplify b into b 16.908 * [taylor]: Taking taylor expansion of a in a 16.908 * [backup-simplify]: Simplify 0 into 0 16.908 * [backup-simplify]: Simplify 1 into 1 16.909 * [backup-simplify]: Simplify (- 0) into 0 16.909 * [backup-simplify]: Simplify (+ b 0) into b 16.909 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 16.909 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- b a))) in b 16.909 * [taylor]: Taking taylor expansion of 0.5 in b 16.909 * [backup-simplify]: Simplify 0.5 into 0.5 16.909 * [taylor]: Taking taylor expansion of (/ PI (- b a)) in b 16.909 * [taylor]: Taking taylor expansion of PI in b 16.909 * [backup-simplify]: Simplify PI into PI 16.909 * [taylor]: Taking taylor expansion of (- b a) in b 16.909 * [taylor]: Taking taylor expansion of b in b 16.909 * [backup-simplify]: Simplify 0 into 0 16.909 * [backup-simplify]: Simplify 1 into 1 16.909 * [taylor]: Taking taylor expansion of a in b 16.909 * [backup-simplify]: Simplify a into a 16.909 * [backup-simplify]: Simplify (- a) into (- a) 16.909 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 16.909 * [backup-simplify]: Simplify (/ PI (- a)) into (* -1 (/ PI a)) 16.909 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- b a))) in b 16.909 * [taylor]: Taking taylor expansion of 0.5 in b 16.909 * [backup-simplify]: Simplify 0.5 into 0.5 16.909 * [taylor]: Taking taylor expansion of (/ PI (- b a)) in b 16.909 * [taylor]: Taking taylor expansion of PI in b 16.909 * [backup-simplify]: Simplify PI into PI 16.910 * [taylor]: Taking taylor expansion of (- b a) in b 16.910 * [taylor]: Taking taylor expansion of b in b 16.910 * [backup-simplify]: Simplify 0 into 0 16.910 * [backup-simplify]: Simplify 1 into 1 16.910 * [taylor]: Taking taylor expansion of a in b 16.910 * [backup-simplify]: Simplify a into a 16.910 * [backup-simplify]: Simplify (- a) into (- a) 16.910 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 16.910 * [backup-simplify]: Simplify (/ PI (- a)) into (* -1 (/ PI a)) 16.910 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI a))) into (* -0.5 (/ PI a)) 16.910 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI a)) in a 16.910 * [taylor]: Taking taylor expansion of -0.5 in a 16.910 * [backup-simplify]: Simplify -0.5 into -0.5 16.910 * [taylor]: Taking taylor expansion of (/ PI a) in a 16.910 * [taylor]: Taking taylor expansion of PI in a 16.910 * [backup-simplify]: Simplify PI into PI 16.910 * [taylor]: Taking taylor expansion of a in a 16.910 * [backup-simplify]: Simplify 0 into 0 16.910 * [backup-simplify]: Simplify 1 into 1 16.911 * [backup-simplify]: Simplify (/ PI 1) into PI 16.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.913 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 16.913 * [backup-simplify]: Simplify 0 into 0 16.913 * [backup-simplify]: Simplify (- 0) into 0 16.914 * [backup-simplify]: Simplify (+ 1 0) into 1 16.914 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 1 (- a))))) into (- (/ PI (pow a 2))) 16.914 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (* 0 (* -1 (/ PI a)))) into (- (* 0.5 (/ PI (pow a 2)))) 16.915 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 16.915 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 16.915 * [taylor]: Taking taylor expansion of 0.5 in a 16.915 * [backup-simplify]: Simplify 0.5 into 0.5 16.915 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 16.915 * [taylor]: Taking taylor expansion of PI in a 16.915 * [backup-simplify]: Simplify PI into PI 16.915 * [taylor]: Taking taylor expansion of (pow a 2) in a 16.915 * [taylor]: Taking taylor expansion of a in a 16.915 * [backup-simplify]: Simplify 0 into 0 16.915 * [backup-simplify]: Simplify 1 into 1 16.915 * [backup-simplify]: Simplify (* 1 1) into 1 16.916 * [backup-simplify]: Simplify (/ PI 1) into PI 16.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.921 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 16.922 * [backup-simplify]: Simplify (- 0) into 0 16.922 * [backup-simplify]: Simplify 0 into 0 16.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.925 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 16.925 * [backup-simplify]: Simplify 0 into 0 16.926 * [backup-simplify]: Simplify (- 0) into 0 16.926 * [backup-simplify]: Simplify (+ 0 0) into 0 16.926 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (* -1 (/ PI a)) (/ 0 (- a))) (* (- (/ PI (pow a 2))) (/ 1 (- a))))) into (- (/ PI (pow a 3))) 16.927 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 3)))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (* -1 (/ PI a))))) into (- (* 0.5 (/ PI (pow a 3)))) 16.927 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 16.927 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 16.927 * [taylor]: Taking taylor expansion of 0.5 in a 16.927 * [backup-simplify]: Simplify 0.5 into 0.5 16.927 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 16.927 * [taylor]: Taking taylor expansion of PI in a 16.927 * [backup-simplify]: Simplify PI into PI 16.927 * [taylor]: Taking taylor expansion of (pow a 3) in a 16.927 * [taylor]: Taking taylor expansion of a in a 16.927 * [backup-simplify]: Simplify 0 into 0 16.927 * [backup-simplify]: Simplify 1 into 1 16.928 * [backup-simplify]: Simplify (* 1 1) into 1 16.928 * [backup-simplify]: Simplify (* 1 1) into 1 16.929 * [backup-simplify]: Simplify (/ PI 1) into PI 16.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.935 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.940 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.940 * [backup-simplify]: Simplify (- 0) into 0 16.940 * [backup-simplify]: Simplify 0 into 0 16.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.944 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.945 * [backup-simplify]: Simplify (- 0) into 0 16.945 * [backup-simplify]: Simplify 0 into 0 16.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.947 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.947 * [backup-simplify]: Simplify 0 into 0 16.947 * [backup-simplify]: Simplify 0 into 0 16.948 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (/ 1 b) (/ 1 a)))) into (* 0.5 (/ PI (- (/ 1 b) (/ 1 a)))) 16.948 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 b) (/ 1 a)))) in (b a) around 0 16.948 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 b) (/ 1 a)))) in a 16.948 * [taylor]: Taking taylor expansion of 0.5 in a 16.948 * [backup-simplify]: Simplify 0.5 into 0.5 16.948 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in a 16.948 * [taylor]: Taking taylor expansion of PI in a 16.948 * [backup-simplify]: Simplify PI into PI 16.948 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 16.948 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.948 * [taylor]: Taking taylor expansion of b in a 16.948 * [backup-simplify]: Simplify b into b 16.949 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.949 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.949 * [taylor]: Taking taylor expansion of a in a 16.949 * [backup-simplify]: Simplify 0 into 0 16.949 * [backup-simplify]: Simplify 1 into 1 16.949 * [backup-simplify]: Simplify (/ 1 1) into 1 16.949 * [backup-simplify]: Simplify (- 1) into -1 16.950 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.950 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 16.950 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 b) (/ 1 a)))) in b 16.950 * [taylor]: Taking taylor expansion of 0.5 in b 16.950 * [backup-simplify]: Simplify 0.5 into 0.5 16.950 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b 16.950 * [taylor]: Taking taylor expansion of PI in b 16.950 * [backup-simplify]: Simplify PI into PI 16.951 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 16.951 * [taylor]: Taking taylor expansion of (/ 1 b) in b 16.951 * [taylor]: Taking taylor expansion of b in b 16.951 * [backup-simplify]: Simplify 0 into 0 16.951 * [backup-simplify]: Simplify 1 into 1 16.951 * [backup-simplify]: Simplify (/ 1 1) into 1 16.951 * [taylor]: Taking taylor expansion of (/ 1 a) in b 16.951 * [taylor]: Taking taylor expansion of a in b 16.951 * [backup-simplify]: Simplify a into a 16.951 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.952 * [backup-simplify]: Simplify (+ 1 0) into 1 16.952 * [backup-simplify]: Simplify (/ PI 1) into PI 16.952 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 b) (/ 1 a)))) in b 16.952 * [taylor]: Taking taylor expansion of 0.5 in b 16.952 * [backup-simplify]: Simplify 0.5 into 0.5 16.952 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 b) (/ 1 a))) in b 16.952 * [taylor]: Taking taylor expansion of PI in b 16.952 * [backup-simplify]: Simplify PI into PI 16.952 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 16.952 * [taylor]: Taking taylor expansion of (/ 1 b) in b 16.952 * [taylor]: Taking taylor expansion of b in b 16.952 * [backup-simplify]: Simplify 0 into 0 16.952 * [backup-simplify]: Simplify 1 into 1 16.953 * [backup-simplify]: Simplify (/ 1 1) into 1 16.953 * [taylor]: Taking taylor expansion of (/ 1 a) in b 16.953 * [taylor]: Taking taylor expansion of a in b 16.953 * [backup-simplify]: Simplify a into a 16.953 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.953 * [backup-simplify]: Simplify (+ 1 0) into 1 16.954 * [backup-simplify]: Simplify (/ PI 1) into PI 16.954 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 16.954 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 16.954 * [taylor]: Taking taylor expansion of 0.5 in a 16.954 * [backup-simplify]: Simplify 0.5 into 0.5 16.954 * [taylor]: Taking taylor expansion of PI in a 16.954 * [backup-simplify]: Simplify PI into PI 16.955 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 16.955 * [backup-simplify]: Simplify 0 into 0 16.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.956 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 16.956 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 16.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 a)) 1)))) into (/ PI a) 16.957 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI a)) (* 0 PI)) into (* 0.5 (/ PI a)) 16.957 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 16.957 * [taylor]: Taking taylor expansion of 0.5 in a 16.957 * [backup-simplify]: Simplify 0.5 into 0.5 16.957 * [taylor]: Taking taylor expansion of (/ PI a) in a 16.957 * [taylor]: Taking taylor expansion of PI in a 16.957 * [backup-simplify]: Simplify PI into PI 16.957 * [taylor]: Taking taylor expansion of a in a 16.957 * [backup-simplify]: Simplify 0 into 0 16.957 * [backup-simplify]: Simplify 1 into 1 16.958 * [backup-simplify]: Simplify (/ PI 1) into PI 16.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.961 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 16.961 * [backup-simplify]: Simplify 0 into 0 16.962 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 16.962 * [backup-simplify]: Simplify 0 into 0 16.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 16.963 * [backup-simplify]: Simplify (- 0) into 0 16.963 * [backup-simplify]: Simplify (+ 0 0) into 0 16.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (/ PI a) (/ (- (/ 1 a)) 1)))) into (/ PI (pow a 2)) 16.965 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 (/ PI a)) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 16.965 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 16.966 * [taylor]: Taking taylor expansion of 0.5 in a 16.966 * [backup-simplify]: Simplify 0.5 into 0.5 16.966 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 16.966 * [taylor]: Taking taylor expansion of PI in a 16.966 * [backup-simplify]: Simplify PI into PI 16.966 * [taylor]: Taking taylor expansion of (pow a 2) in a 16.966 * [taylor]: Taking taylor expansion of a in a 16.966 * [backup-simplify]: Simplify 0 into 0 16.966 * [backup-simplify]: Simplify 1 into 1 16.966 * [backup-simplify]: Simplify (* 1 1) into 1 16.966 * [backup-simplify]: Simplify (/ PI 1) into PI 16.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 16.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 16.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 16.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.973 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.973 * [backup-simplify]: Simplify 0 into 0 16.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.975 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.976 * [backup-simplify]: Simplify 0 into 0 16.977 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.977 * [backup-simplify]: Simplify 0 into 0 16.977 * [backup-simplify]: Simplify 0 into 0 16.978 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) into (* 0.5 (/ PI (- (/ 1 a) (/ 1 b)))) 16.978 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 a) (/ 1 b)))) in (b a) around 0 16.978 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 a) (/ 1 b)))) in a 16.978 * [taylor]: Taking taylor expansion of 0.5 in a 16.978 * [backup-simplify]: Simplify 0.5 into 0.5 16.978 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 a) (/ 1 b))) in a 16.978 * [taylor]: Taking taylor expansion of PI in a 16.978 * [backup-simplify]: Simplify PI into PI 16.978 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 16.978 * [taylor]: Taking taylor expansion of (/ 1 a) in a 16.978 * [taylor]: Taking taylor expansion of a in a 16.978 * [backup-simplify]: Simplify 0 into 0 16.978 * [backup-simplify]: Simplify 1 into 1 16.979 * [backup-simplify]: Simplify (/ 1 1) into 1 16.979 * [taylor]: Taking taylor expansion of (/ 1 b) in a 16.979 * [taylor]: Taking taylor expansion of b in a 16.979 * [backup-simplify]: Simplify b into b 16.979 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 16.979 * [backup-simplify]: Simplify (+ 1 0) into 1 16.980 * [backup-simplify]: Simplify (/ PI 1) into PI 16.980 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 a) (/ 1 b)))) in b 16.980 * [taylor]: Taking taylor expansion of 0.5 in b 16.980 * [backup-simplify]: Simplify 0.5 into 0.5 16.980 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 a) (/ 1 b))) in b 16.980 * [taylor]: Taking taylor expansion of PI in b 16.980 * [backup-simplify]: Simplify PI into PI 16.980 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 16.980 * [taylor]: Taking taylor expansion of (/ 1 a) in b 16.980 * [taylor]: Taking taylor expansion of a in b 16.980 * [backup-simplify]: Simplify a into a 16.980 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.980 * [taylor]: Taking taylor expansion of (/ 1 b) in b 16.980 * [taylor]: Taking taylor expansion of b in b 16.980 * [backup-simplify]: Simplify 0 into 0 16.980 * [backup-simplify]: Simplify 1 into 1 16.980 * [backup-simplify]: Simplify (/ 1 1) into 1 16.981 * [backup-simplify]: Simplify (- 1) into -1 16.981 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.982 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 16.982 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 a) (/ 1 b)))) in b 16.982 * [taylor]: Taking taylor expansion of 0.5 in b 16.982 * [backup-simplify]: Simplify 0.5 into 0.5 16.982 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 a) (/ 1 b))) in b 16.982 * [taylor]: Taking taylor expansion of PI in b 16.982 * [backup-simplify]: Simplify PI into PI 16.982 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 16.982 * [taylor]: Taking taylor expansion of (/ 1 a) in b 16.982 * [taylor]: Taking taylor expansion of a in b 16.982 * [backup-simplify]: Simplify a into a 16.982 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 16.982 * [taylor]: Taking taylor expansion of (/ 1 b) in b 16.982 * [taylor]: Taking taylor expansion of b in b 16.982 * [backup-simplify]: Simplify 0 into 0 16.982 * [backup-simplify]: Simplify 1 into 1 16.982 * [backup-simplify]: Simplify (/ 1 1) into 1 16.983 * [backup-simplify]: Simplify (- 1) into -1 16.983 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.984 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 16.985 * [backup-simplify]: Simplify (* 0.5 (* -1 PI)) into (* -0.5 PI) 16.985 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 16.985 * [taylor]: Taking taylor expansion of -0.5 in a 16.985 * [backup-simplify]: Simplify -0.5 into -0.5 16.985 * [taylor]: Taking taylor expansion of PI in a 16.985 * [backup-simplify]: Simplify PI into PI 16.985 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 16.986 * [backup-simplify]: Simplify 0 into 0 16.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 16.987 * [backup-simplify]: Simplify (- 0) into 0 16.987 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 16.988 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 a) -1)))) into (- (/ PI a)) 16.988 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI a))) (* 0 (* -1 PI))) into (- (* 0.5 (/ PI a))) 16.988 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 16.988 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 16.988 * [taylor]: Taking taylor expansion of 0.5 in a 16.988 * [backup-simplify]: Simplify 0.5 into 0.5 16.988 * [taylor]: Taking taylor expansion of (/ PI a) in a 16.988 * [taylor]: Taking taylor expansion of PI in a 16.989 * [backup-simplify]: Simplify PI into PI 16.989 * [taylor]: Taking taylor expansion of a in a 16.989 * [backup-simplify]: Simplify 0 into 0 16.989 * [backup-simplify]: Simplify 1 into 1 16.989 * [backup-simplify]: Simplify (/ PI 1) into PI 16.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.991 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 16.992 * [backup-simplify]: Simplify (- 0) into 0 16.992 * [backup-simplify]: Simplify 0 into 0 16.993 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 16.993 * [backup-simplify]: Simplify 0 into 0 16.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 16.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.994 * [backup-simplify]: Simplify (- 0) into 0 16.994 * [backup-simplify]: Simplify (+ 0 0) into 0 16.996 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (- (/ PI a)) (/ (/ 1 a) -1)))) into (- (/ PI (pow a 2))) 16.997 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (+ (* 0 (- (/ PI a))) (* 0 (* -1 PI)))) into (- (* 0.5 (/ PI (pow a 2)))) 16.997 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 16.997 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 16.997 * [taylor]: Taking taylor expansion of 0.5 in a 16.997 * [backup-simplify]: Simplify 0.5 into 0.5 16.997 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 16.997 * [taylor]: Taking taylor expansion of PI in a 16.997 * [backup-simplify]: Simplify PI into PI 16.997 * [taylor]: Taking taylor expansion of (pow a 2) in a 16.997 * [taylor]: Taking taylor expansion of a in a 16.997 * [backup-simplify]: Simplify 0 into 0 16.998 * [backup-simplify]: Simplify 1 into 1 16.998 * [backup-simplify]: Simplify (* 1 1) into 1 16.998 * [backup-simplify]: Simplify (/ PI 1) into PI 17.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.004 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.005 * [backup-simplify]: Simplify (- 0) into 0 17.005 * [backup-simplify]: Simplify 0 into 0 17.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.006 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.007 * [backup-simplify]: Simplify (- 0) into 0 17.007 * [backup-simplify]: Simplify 0 into 0 17.008 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.008 * [backup-simplify]: Simplify 0 into 0 17.008 * [backup-simplify]: Simplify 0 into 0 17.008 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 17.009 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- b a))) 17.009 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- b a))) in (b a) around 0 17.009 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- b a))) in a 17.009 * [taylor]: Taking taylor expansion of 0.5 in a 17.009 * [backup-simplify]: Simplify 0.5 into 0.5 17.009 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- b a)) in a 17.009 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 17.009 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 17.009 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 17.009 * [taylor]: Taking taylor expansion of 1.0 in a 17.009 * [backup-simplify]: Simplify 1.0 into 1.0 17.009 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.009 * [taylor]: Taking taylor expansion of a in a 17.009 * [backup-simplify]: Simplify 0 into 0 17.009 * [backup-simplify]: Simplify 1 into 1 17.009 * [backup-simplify]: Simplify (/ 1 1) into 1 17.009 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 17.009 * [taylor]: Taking taylor expansion of 1.0 in a 17.009 * [backup-simplify]: Simplify 1.0 into 1.0 17.009 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.009 * [taylor]: Taking taylor expansion of b in a 17.009 * [backup-simplify]: Simplify b into b 17.009 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.010 * [taylor]: Taking taylor expansion of PI in a 17.010 * [backup-simplify]: Simplify PI into PI 17.010 * [taylor]: Taking taylor expansion of (- b a) in a 17.010 * [taylor]: Taking taylor expansion of b in a 17.010 * [backup-simplify]: Simplify b into b 17.010 * [taylor]: Taking taylor expansion of a in a 17.010 * [backup-simplify]: Simplify 0 into 0 17.010 * [backup-simplify]: Simplify 1 into 1 17.010 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 17.011 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.011 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 17.011 * [backup-simplify]: Simplify (- 0) into 0 17.011 * [backup-simplify]: Simplify (+ b 0) into b 17.012 * [backup-simplify]: Simplify (/ (* 1.0 PI) b) into (* 1.0 (/ PI b)) 17.012 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- b a))) in b 17.012 * [taylor]: Taking taylor expansion of 0.5 in b 17.012 * [backup-simplify]: Simplify 0.5 into 0.5 17.012 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- b a)) in b 17.012 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 17.012 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 17.012 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 17.012 * [taylor]: Taking taylor expansion of 1.0 in b 17.012 * [backup-simplify]: Simplify 1.0 into 1.0 17.012 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.012 * [taylor]: Taking taylor expansion of a in b 17.012 * [backup-simplify]: Simplify a into a 17.012 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.012 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 17.012 * [taylor]: Taking taylor expansion of 1.0 in b 17.012 * [backup-simplify]: Simplify 1.0 into 1.0 17.012 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.012 * [taylor]: Taking taylor expansion of b in b 17.013 * [backup-simplify]: Simplify 0 into 0 17.013 * [backup-simplify]: Simplify 1 into 1 17.013 * [backup-simplify]: Simplify (/ 1 1) into 1 17.013 * [taylor]: Taking taylor expansion of PI in b 17.013 * [backup-simplify]: Simplify PI into PI 17.013 * [taylor]: Taking taylor expansion of (- b a) in b 17.013 * [taylor]: Taking taylor expansion of b in b 17.013 * [backup-simplify]: Simplify 0 into 0 17.013 * [backup-simplify]: Simplify 1 into 1 17.013 * [taylor]: Taking taylor expansion of a in b 17.013 * [backup-simplify]: Simplify a into a 17.013 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 17.014 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.022 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 17.023 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 17.023 * [backup-simplify]: Simplify (- a) into (- a) 17.023 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 17.024 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- a)) into (* 1.0 (/ PI a)) 17.024 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- b a))) in b 17.024 * [taylor]: Taking taylor expansion of 0.5 in b 17.024 * [backup-simplify]: Simplify 0.5 into 0.5 17.024 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- b a)) in b 17.024 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 17.024 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 17.024 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 17.024 * [taylor]: Taking taylor expansion of 1.0 in b 17.024 * [backup-simplify]: Simplify 1.0 into 1.0 17.024 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.024 * [taylor]: Taking taylor expansion of a in b 17.024 * [backup-simplify]: Simplify a into a 17.024 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.024 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 17.024 * [taylor]: Taking taylor expansion of 1.0 in b 17.024 * [backup-simplify]: Simplify 1.0 into 1.0 17.024 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.024 * [taylor]: Taking taylor expansion of b in b 17.024 * [backup-simplify]: Simplify 0 into 0 17.024 * [backup-simplify]: Simplify 1 into 1 17.025 * [backup-simplify]: Simplify (/ 1 1) into 1 17.025 * [taylor]: Taking taylor expansion of PI in b 17.025 * [backup-simplify]: Simplify PI into PI 17.025 * [taylor]: Taking taylor expansion of (- b a) in b 17.025 * [taylor]: Taking taylor expansion of b in b 17.025 * [backup-simplify]: Simplify 0 into 0 17.025 * [backup-simplify]: Simplify 1 into 1 17.025 * [taylor]: Taking taylor expansion of a in b 17.025 * [backup-simplify]: Simplify a into a 17.025 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 17.026 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.027 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 17.027 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 17.027 * [backup-simplify]: Simplify (- a) into (- a) 17.028 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 17.028 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- a)) into (* 1.0 (/ PI a)) 17.028 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI a))) into (* 0.5 (/ PI a)) 17.028 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 17.028 * [taylor]: Taking taylor expansion of 0.5 in a 17.028 * [backup-simplify]: Simplify 0.5 into 0.5 17.028 * [taylor]: Taking taylor expansion of (/ PI a) in a 17.028 * [taylor]: Taking taylor expansion of PI in a 17.028 * [backup-simplify]: Simplify PI into PI 17.029 * [taylor]: Taking taylor expansion of a in a 17.029 * [backup-simplify]: Simplify 0 into 0 17.029 * [backup-simplify]: Simplify 1 into 1 17.029 * [backup-simplify]: Simplify (/ PI 1) into PI 17.029 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 17.030 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 17.030 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 17.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.032 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 17.032 * [backup-simplify]: Simplify (- 0) into 0 17.032 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 17.033 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 17.033 * [backup-simplify]: Simplify (- 0) into 0 17.033 * [backup-simplify]: Simplify (+ 1 0) into 1 17.034 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) (- a)) (+ (* (* 1.0 (/ PI a)) (/ 1 (- a))))) into 0 17.034 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* 1.0 (/ PI a)))) into 0 17.034 * [taylor]: Taking taylor expansion of 0 in a 17.034 * [backup-simplify]: Simplify 0 into 0 17.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.036 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 17.036 * [backup-simplify]: Simplify 0 into 0 17.036 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 17.037 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 17.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.038 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 17.039 * [backup-simplify]: Simplify (- 0) into 0 17.039 * [backup-simplify]: Simplify (+ 0 0) into 0 17.040 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 17.041 * [backup-simplify]: Simplify (- 0) into 0 17.041 * [backup-simplify]: Simplify (+ 0 0) into 0 17.041 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (* 1.0 (/ PI a)) (/ 0 (- a))) (* 0 (/ 1 (- a))))) into 0 17.042 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* 1.0 (/ PI a))))) into 0 17.042 * [taylor]: Taking taylor expansion of 0 in a 17.042 * [backup-simplify]: Simplify 0 into 0 17.042 * [backup-simplify]: Simplify 0 into 0 17.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.044 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 17.044 * [backup-simplify]: Simplify 0 into 0 17.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 17.045 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 17.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.047 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.048 * [backup-simplify]: Simplify (- 0) into 0 17.048 * [backup-simplify]: Simplify (+ 0 0) into 0 17.049 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 17.050 * [backup-simplify]: Simplify (- 0) into 0 17.050 * [backup-simplify]: Simplify (+ 0 0) into 0 17.050 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (* 1.0 (/ PI a)) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 1 (- a))))) into 0 17.051 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (/ PI a)))))) into 0 17.051 * [taylor]: Taking taylor expansion of 0 in a 17.052 * [backup-simplify]: Simplify 0 into 0 17.052 * [backup-simplify]: Simplify 0 into 0 17.052 * [backup-simplify]: Simplify 0 into 0 17.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.054 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.054 * [backup-simplify]: Simplify 0 into 0 17.054 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (* a b))) 17.056 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (/ 1 b) (/ 1 a)))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 b) (/ 1 a)))) 17.056 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 17.056 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 b) (/ 1 a)))) in a 17.056 * [taylor]: Taking taylor expansion of 0.5 in a 17.056 * [backup-simplify]: Simplify 0.5 into 0.5 17.056 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 b) (/ 1 a))) in a 17.056 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 17.056 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 17.056 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 17.056 * [taylor]: Taking taylor expansion of 1.0 in a 17.056 * [backup-simplify]: Simplify 1.0 into 1.0 17.056 * [taylor]: Taking taylor expansion of a in a 17.056 * [backup-simplify]: Simplify 0 into 0 17.056 * [backup-simplify]: Simplify 1 into 1 17.056 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 17.056 * [taylor]: Taking taylor expansion of 1.0 in a 17.056 * [backup-simplify]: Simplify 1.0 into 1.0 17.056 * [taylor]: Taking taylor expansion of b in a 17.056 * [backup-simplify]: Simplify b into b 17.056 * [taylor]: Taking taylor expansion of PI in a 17.056 * [backup-simplify]: Simplify PI into PI 17.056 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 17.056 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.057 * [taylor]: Taking taylor expansion of b in a 17.057 * [backup-simplify]: Simplify b into b 17.057 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.057 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.057 * [taylor]: Taking taylor expansion of a in a 17.057 * [backup-simplify]: Simplify 0 into 0 17.057 * [backup-simplify]: Simplify 1 into 1 17.057 * [backup-simplify]: Simplify (/ 1 1) into 1 17.058 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.058 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 17.058 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 17.058 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 17.058 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 17.059 * [backup-simplify]: Simplify (- 1) into -1 17.059 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.059 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 17.059 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 b) (/ 1 a)))) in b 17.059 * [taylor]: Taking taylor expansion of 0.5 in b 17.059 * [backup-simplify]: Simplify 0.5 into 0.5 17.059 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 b) (/ 1 a))) in b 17.059 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 17.059 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 17.059 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 17.059 * [taylor]: Taking taylor expansion of 1.0 in b 17.059 * [backup-simplify]: Simplify 1.0 into 1.0 17.059 * [taylor]: Taking taylor expansion of a in b 17.059 * [backup-simplify]: Simplify a into a 17.059 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.059 * [taylor]: Taking taylor expansion of 1.0 in b 17.060 * [backup-simplify]: Simplify 1.0 into 1.0 17.060 * [taylor]: Taking taylor expansion of b in b 17.060 * [backup-simplify]: Simplify 0 into 0 17.060 * [backup-simplify]: Simplify 1 into 1 17.060 * [taylor]: Taking taylor expansion of PI in b 17.060 * [backup-simplify]: Simplify PI into PI 17.060 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 17.060 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.060 * [taylor]: Taking taylor expansion of b in b 17.060 * [backup-simplify]: Simplify 0 into 0 17.060 * [backup-simplify]: Simplify 1 into 1 17.060 * [backup-simplify]: Simplify (/ 1 1) into 1 17.060 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.060 * [taylor]: Taking taylor expansion of a in b 17.060 * [backup-simplify]: Simplify a into a 17.060 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.060 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 17.061 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.061 * [backup-simplify]: Simplify (- 0) into 0 17.061 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 17.061 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 17.062 * [backup-simplify]: Simplify (+ 1 0) into 1 17.062 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 17.062 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 b) (/ 1 a)))) in b 17.062 * [taylor]: Taking taylor expansion of 0.5 in b 17.062 * [backup-simplify]: Simplify 0.5 into 0.5 17.062 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 b) (/ 1 a))) in b 17.062 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 17.062 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 17.062 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 17.062 * [taylor]: Taking taylor expansion of 1.0 in b 17.062 * [backup-simplify]: Simplify 1.0 into 1.0 17.062 * [taylor]: Taking taylor expansion of a in b 17.062 * [backup-simplify]: Simplify a into a 17.062 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.062 * [taylor]: Taking taylor expansion of 1.0 in b 17.062 * [backup-simplify]: Simplify 1.0 into 1.0 17.062 * [taylor]: Taking taylor expansion of b in b 17.062 * [backup-simplify]: Simplify 0 into 0 17.062 * [backup-simplify]: Simplify 1 into 1 17.062 * [taylor]: Taking taylor expansion of PI in b 17.062 * [backup-simplify]: Simplify PI into PI 17.062 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 17.062 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.062 * [taylor]: Taking taylor expansion of b in b 17.063 * [backup-simplify]: Simplify 0 into 0 17.063 * [backup-simplify]: Simplify 1 into 1 17.063 * [backup-simplify]: Simplify (/ 1 1) into 1 17.063 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.063 * [taylor]: Taking taylor expansion of a in b 17.063 * [backup-simplify]: Simplify a into a 17.063 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.063 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 17.064 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.064 * [backup-simplify]: Simplify (- 0) into 0 17.065 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 17.065 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 17.065 * [backup-simplify]: Simplify (+ 1 0) into 1 17.066 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 17.066 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 17.066 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 17.066 * [taylor]: Taking taylor expansion of 0.5 in a 17.066 * [backup-simplify]: Simplify 0.5 into 0.5 17.066 * [taylor]: Taking taylor expansion of (* a PI) in a 17.066 * [taylor]: Taking taylor expansion of a in a 17.066 * [backup-simplify]: Simplify 0 into 0 17.066 * [backup-simplify]: Simplify 1 into 1 17.066 * [taylor]: Taking taylor expansion of PI in a 17.066 * [backup-simplify]: Simplify PI into PI 17.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.068 * [backup-simplify]: Simplify (* 0 PI) into 0 17.070 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 17.070 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 17.071 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 17.072 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 17.072 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.073 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 17.073 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 17.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.074 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 17.074 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 17.076 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 a)) 1)))) into 0 17.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* 1.0 (* a PI)))) into 0 17.077 * [taylor]: Taking taylor expansion of 0 in a 17.077 * [backup-simplify]: Simplify 0 into 0 17.077 * [backup-simplify]: Simplify 0 into 0 17.078 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.079 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 17.079 * [backup-simplify]: Simplify 0 into 0 17.080 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 17.081 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 17.082 * [backup-simplify]: Simplify (- 0) into 0 17.082 * [backup-simplify]: Simplify (+ 0 0) into 0 17.083 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 17.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 17.084 * [backup-simplify]: Simplify (- 0) into 0 17.084 * [backup-simplify]: Simplify (+ 0 0) into 0 17.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)) (* 0 (/ (- (/ 1 a)) 1)))) into 0 17.086 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* 1.0 (* a PI))))) into 0 17.086 * [taylor]: Taking taylor expansion of 0 in a 17.086 * [backup-simplify]: Simplify 0 into 0 17.086 * [backup-simplify]: Simplify 0 into 0 17.087 * [backup-simplify]: Simplify 0 into 0 17.088 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.089 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.089 * [backup-simplify]: Simplify 0 into 0 17.090 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 17.091 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.092 * [backup-simplify]: Simplify (- 0) into 0 17.092 * [backup-simplify]: Simplify (+ 0 0) into 0 17.094 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (+ (* 0 0) (* 0 PI)))) into 0 17.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 17.095 * [backup-simplify]: Simplify (- 0) into 0 17.096 * [backup-simplify]: Simplify (+ 0 0) into 0 17.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 a)) 1)))) into 0 17.099 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (* a PI)))))) into 0 17.099 * [taylor]: Taking taylor expansion of 0 in a 17.099 * [backup-simplify]: Simplify 0 into 0 17.099 * [backup-simplify]: Simplify 0 into 0 17.099 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (* a b))) 17.100 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 a) (/ 1 b)))) 17.100 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 a) (/ 1 b)))) in (b a) around 0 17.100 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 a) (/ 1 b)))) in a 17.100 * [taylor]: Taking taylor expansion of 0.5 in a 17.100 * [backup-simplify]: Simplify 0.5 into 0.5 17.100 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 a) (/ 1 b))) in a 17.100 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 17.100 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 17.100 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 17.101 * [taylor]: Taking taylor expansion of 1.0 in a 17.101 * [backup-simplify]: Simplify 1.0 into 1.0 17.101 * [taylor]: Taking taylor expansion of b in a 17.101 * [backup-simplify]: Simplify b into b 17.101 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 17.101 * [taylor]: Taking taylor expansion of 1.0 in a 17.101 * [backup-simplify]: Simplify 1.0 into 1.0 17.101 * [taylor]: Taking taylor expansion of a in a 17.101 * [backup-simplify]: Simplify 0 into 0 17.101 * [backup-simplify]: Simplify 1 into 1 17.101 * [taylor]: Taking taylor expansion of PI in a 17.101 * [backup-simplify]: Simplify PI into PI 17.101 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 17.101 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.101 * [taylor]: Taking taylor expansion of a in a 17.101 * [backup-simplify]: Simplify 0 into 0 17.101 * [backup-simplify]: Simplify 1 into 1 17.101 * [backup-simplify]: Simplify (/ 1 1) into 1 17.101 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.101 * [taylor]: Taking taylor expansion of b in a 17.101 * [backup-simplify]: Simplify b into b 17.101 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.102 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 17.102 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.102 * [backup-simplify]: Simplify (- 0) into 0 17.102 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 17.102 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 17.103 * [backup-simplify]: Simplify (+ 1 0) into 1 17.103 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 17.103 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 a) (/ 1 b)))) in b 17.103 * [taylor]: Taking taylor expansion of 0.5 in b 17.103 * [backup-simplify]: Simplify 0.5 into 0.5 17.103 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 a) (/ 1 b))) in b 17.103 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 17.103 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 17.103 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.103 * [taylor]: Taking taylor expansion of 1.0 in b 17.103 * [backup-simplify]: Simplify 1.0 into 1.0 17.103 * [taylor]: Taking taylor expansion of b in b 17.104 * [backup-simplify]: Simplify 0 into 0 17.104 * [backup-simplify]: Simplify 1 into 1 17.104 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 17.104 * [taylor]: Taking taylor expansion of 1.0 in b 17.104 * [backup-simplify]: Simplify 1.0 into 1.0 17.104 * [taylor]: Taking taylor expansion of a in b 17.104 * [backup-simplify]: Simplify a into a 17.104 * [taylor]: Taking taylor expansion of PI in b 17.104 * [backup-simplify]: Simplify PI into PI 17.104 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 17.104 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.104 * [taylor]: Taking taylor expansion of a in b 17.104 * [backup-simplify]: Simplify a into a 17.104 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.104 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.104 * [taylor]: Taking taylor expansion of b in b 17.104 * [backup-simplify]: Simplify 0 into 0 17.104 * [backup-simplify]: Simplify 1 into 1 17.104 * [backup-simplify]: Simplify (/ 1 1) into 1 17.105 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.105 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 17.105 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 17.105 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 17.105 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 17.106 * [backup-simplify]: Simplify (- 1) into -1 17.106 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.106 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 17.106 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 a) (/ 1 b)))) in b 17.106 * [taylor]: Taking taylor expansion of 0.5 in b 17.106 * [backup-simplify]: Simplify 0.5 into 0.5 17.106 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 a) (/ 1 b))) in b 17.106 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 17.107 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 17.107 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.107 * [taylor]: Taking taylor expansion of 1.0 in b 17.107 * [backup-simplify]: Simplify 1.0 into 1.0 17.107 * [taylor]: Taking taylor expansion of b in b 17.107 * [backup-simplify]: Simplify 0 into 0 17.107 * [backup-simplify]: Simplify 1 into 1 17.107 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 17.107 * [taylor]: Taking taylor expansion of 1.0 in b 17.107 * [backup-simplify]: Simplify 1.0 into 1.0 17.107 * [taylor]: Taking taylor expansion of a in b 17.107 * [backup-simplify]: Simplify a into a 17.107 * [taylor]: Taking taylor expansion of PI in b 17.107 * [backup-simplify]: Simplify PI into PI 17.107 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 17.107 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.107 * [taylor]: Taking taylor expansion of a in b 17.107 * [backup-simplify]: Simplify a into a 17.107 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.107 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.107 * [taylor]: Taking taylor expansion of b in b 17.107 * [backup-simplify]: Simplify 0 into 0 17.107 * [backup-simplify]: Simplify 1 into 1 17.108 * [backup-simplify]: Simplify (/ 1 1) into 1 17.108 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.108 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 17.108 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 17.109 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 17.109 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 17.109 * [backup-simplify]: Simplify (- 1) into -1 17.109 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.110 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 17.110 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 17.110 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 17.110 * [taylor]: Taking taylor expansion of 0.5 in a 17.110 * [backup-simplify]: Simplify 0.5 into 0.5 17.110 * [taylor]: Taking taylor expansion of (* a PI) in a 17.110 * [taylor]: Taking taylor expansion of a in a 17.110 * [backup-simplify]: Simplify 0 into 0 17.110 * [backup-simplify]: Simplify 1 into 1 17.110 * [taylor]: Taking taylor expansion of PI in a 17.110 * [backup-simplify]: Simplify PI into PI 17.112 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.112 * [backup-simplify]: Simplify (* 0 PI) into 0 17.114 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 17.115 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 17.116 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 17.117 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 17.118 * [backup-simplify]: Simplify (- 0) into 0 17.118 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.119 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 17.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.120 * [backup-simplify]: Simplify (- 0) into 0 17.120 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 17.122 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 a) -1)))) into 0 17.122 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* 1.0 (* a PI)))) into 0 17.123 * [taylor]: Taking taylor expansion of 0 in a 17.123 * [backup-simplify]: Simplify 0 into 0 17.123 * [backup-simplify]: Simplify 0 into 0 17.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.125 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 17.125 * [backup-simplify]: Simplify 0 into 0 17.126 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 17.127 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 17.128 * [backup-simplify]: Simplify (- 0) into 0 17.128 * [backup-simplify]: Simplify (+ 0 0) into 0 17.129 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 17.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 17.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.131 * [backup-simplify]: Simplify (- 0) into 0 17.131 * [backup-simplify]: Simplify (+ 0 0) into 0 17.132 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* a PI)) (/ 0 -1)) (* 0 (/ (/ 1 a) -1)))) into 0 17.133 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* 1.0 (* a PI))))) into 0 17.133 * [taylor]: Taking taylor expansion of 0 in a 17.133 * [backup-simplify]: Simplify 0 into 0 17.133 * [backup-simplify]: Simplify 0 into 0 17.133 * [backup-simplify]: Simplify 0 into 0 17.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.135 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.136 * [backup-simplify]: Simplify 0 into 0 17.137 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.138 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 17.138 * [backup-simplify]: Simplify (- 0) into 0 17.139 * [backup-simplify]: Simplify (+ 0 0) into 0 17.140 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 17.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.142 * [backup-simplify]: Simplify (- 0) into 0 17.142 * [backup-simplify]: Simplify (+ 0 0) into 0 17.144 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* a PI)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 a) -1)))) into 0 17.146 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 1.0 (* a PI)))))) into 0 17.146 * [taylor]: Taking taylor expansion of 0 in a 17.146 * [backup-simplify]: Simplify 0 into 0 17.146 * [backup-simplify]: Simplify 0 into 0 17.147 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 (- a)) (/ 1 (- b)))) into (* 0.5 (/ PI (* a b))) 17.147 * * * * [progress]: [ 3 / 4 ] generating series at (2) 17.148 * [backup-simplify]: Simplify (/ (* (* (/ PI 2.0) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (+ a b)) into (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) 17.148 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in (b a) around 0 17.149 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in a 17.149 * [taylor]: Taking taylor expansion of 0.5 in a 17.149 * [backup-simplify]: Simplify 0.5 into 0.5 17.149 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b))) in a 17.149 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in a 17.149 * [taylor]: Taking taylor expansion of PI in a 17.149 * [backup-simplify]: Simplify PI into PI 17.149 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 17.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 17.149 * [taylor]: Taking taylor expansion of 1.0 in a 17.149 * [backup-simplify]: Simplify 1.0 into 1.0 17.149 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.149 * [taylor]: Taking taylor expansion of a in a 17.149 * [backup-simplify]: Simplify 0 into 0 17.149 * [backup-simplify]: Simplify 1 into 1 17.149 * [backup-simplify]: Simplify (/ 1 1) into 1 17.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 17.149 * [taylor]: Taking taylor expansion of 1.0 in a 17.150 * [backup-simplify]: Simplify 1.0 into 1.0 17.150 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.150 * [taylor]: Taking taylor expansion of b in a 17.150 * [backup-simplify]: Simplify b into b 17.150 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.150 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 17.150 * [taylor]: Taking taylor expansion of (- b a) in a 17.150 * [taylor]: Taking taylor expansion of b in a 17.150 * [backup-simplify]: Simplify b into b 17.150 * [taylor]: Taking taylor expansion of a in a 17.150 * [backup-simplify]: Simplify 0 into 0 17.150 * [backup-simplify]: Simplify 1 into 1 17.150 * [taylor]: Taking taylor expansion of (+ a b) in a 17.150 * [taylor]: Taking taylor expansion of a in a 17.150 * [backup-simplify]: Simplify 0 into 0 17.150 * [backup-simplify]: Simplify 1 into 1 17.150 * [taylor]: Taking taylor expansion of b in a 17.150 * [backup-simplify]: Simplify b into b 17.150 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 17.151 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.152 * [backup-simplify]: Simplify (* PI 1.0) into (* 1.0 PI) 17.152 * [backup-simplify]: Simplify (- 0) into 0 17.152 * [backup-simplify]: Simplify (+ b 0) into b 17.152 * [backup-simplify]: Simplify (+ 0 b) into b 17.152 * [backup-simplify]: Simplify (* b b) into (pow b 2) 17.153 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 17.153 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in b 17.153 * [taylor]: Taking taylor expansion of 0.5 in b 17.153 * [backup-simplify]: Simplify 0.5 into 0.5 17.153 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b))) in b 17.153 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in b 17.153 * [taylor]: Taking taylor expansion of PI in b 17.153 * [backup-simplify]: Simplify PI into PI 17.153 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 17.153 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 17.153 * [taylor]: Taking taylor expansion of 1.0 in b 17.153 * [backup-simplify]: Simplify 1.0 into 1.0 17.153 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.153 * [taylor]: Taking taylor expansion of a in b 17.153 * [backup-simplify]: Simplify a into a 17.153 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.154 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 17.154 * [taylor]: Taking taylor expansion of 1.0 in b 17.154 * [backup-simplify]: Simplify 1.0 into 1.0 17.154 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.154 * [taylor]: Taking taylor expansion of b in b 17.154 * [backup-simplify]: Simplify 0 into 0 17.154 * [backup-simplify]: Simplify 1 into 1 17.154 * [backup-simplify]: Simplify (/ 1 1) into 1 17.154 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 17.154 * [taylor]: Taking taylor expansion of (- b a) in b 17.154 * [taylor]: Taking taylor expansion of b in b 17.154 * [backup-simplify]: Simplify 0 into 0 17.154 * [backup-simplify]: Simplify 1 into 1 17.154 * [taylor]: Taking taylor expansion of a in b 17.154 * [backup-simplify]: Simplify a into a 17.154 * [taylor]: Taking taylor expansion of (+ a b) in b 17.154 * [taylor]: Taking taylor expansion of a in b 17.154 * [backup-simplify]: Simplify a into a 17.154 * [taylor]: Taking taylor expansion of b in b 17.154 * [backup-simplify]: Simplify 0 into 0 17.155 * [backup-simplify]: Simplify 1 into 1 17.155 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 17.155 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.156 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 17.157 * [backup-simplify]: Simplify (* PI (- 1.0)) into (* -1.0 PI) 17.157 * [backup-simplify]: Simplify (- a) into (- a) 17.157 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 17.157 * [backup-simplify]: Simplify (+ a 0) into a 17.157 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 17.158 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 17.158 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in b 17.158 * [taylor]: Taking taylor expansion of 0.5 in b 17.158 * [backup-simplify]: Simplify 0.5 into 0.5 17.158 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b))) in b 17.158 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in b 17.158 * [taylor]: Taking taylor expansion of PI in b 17.158 * [backup-simplify]: Simplify PI into PI 17.158 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 17.158 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 17.159 * [taylor]: Taking taylor expansion of 1.0 in b 17.159 * [backup-simplify]: Simplify 1.0 into 1.0 17.159 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.159 * [taylor]: Taking taylor expansion of a in b 17.159 * [backup-simplify]: Simplify a into a 17.159 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.159 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 17.159 * [taylor]: Taking taylor expansion of 1.0 in b 17.159 * [backup-simplify]: Simplify 1.0 into 1.0 17.159 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.159 * [taylor]: Taking taylor expansion of b in b 17.159 * [backup-simplify]: Simplify 0 into 0 17.159 * [backup-simplify]: Simplify 1 into 1 17.159 * [backup-simplify]: Simplify (/ 1 1) into 1 17.159 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 17.159 * [taylor]: Taking taylor expansion of (- b a) in b 17.159 * [taylor]: Taking taylor expansion of b in b 17.159 * [backup-simplify]: Simplify 0 into 0 17.160 * [backup-simplify]: Simplify 1 into 1 17.160 * [taylor]: Taking taylor expansion of a in b 17.160 * [backup-simplify]: Simplify a into a 17.160 * [taylor]: Taking taylor expansion of (+ a b) in b 17.160 * [taylor]: Taking taylor expansion of a in b 17.160 * [backup-simplify]: Simplify a into a 17.160 * [taylor]: Taking taylor expansion of b in b 17.160 * [backup-simplify]: Simplify 0 into 0 17.160 * [backup-simplify]: Simplify 1 into 1 17.160 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 17.161 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.162 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 17.162 * [backup-simplify]: Simplify (* PI (- 1.0)) into (* -1.0 PI) 17.163 * [backup-simplify]: Simplify (- a) into (- a) 17.163 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 17.163 * [backup-simplify]: Simplify (+ a 0) into a 17.163 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 17.164 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 17.164 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 17.164 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 17.164 * [taylor]: Taking taylor expansion of 0.5 in a 17.164 * [backup-simplify]: Simplify 0.5 into 0.5 17.164 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 17.164 * [taylor]: Taking taylor expansion of PI in a 17.164 * [backup-simplify]: Simplify PI into PI 17.164 * [taylor]: Taking taylor expansion of (pow a 2) in a 17.164 * [taylor]: Taking taylor expansion of a in a 17.164 * [backup-simplify]: Simplify 0 into 0 17.164 * [backup-simplify]: Simplify 1 into 1 17.165 * [backup-simplify]: Simplify (* 1 1) into 1 17.165 * [backup-simplify]: Simplify (/ PI 1) into PI 17.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.167 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 17.167 * [backup-simplify]: Simplify 0 into 0 17.168 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 17.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.169 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 17.169 * [backup-simplify]: Simplify (- 0) into 0 17.170 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 17.170 * [backup-simplify]: Simplify (+ (* PI (* 1.0 (/ 1 a))) (* 0 (- 1.0))) into (* 1.0 (/ PI a)) 17.171 * [backup-simplify]: Simplify (+ 0 1) into 1 17.171 * [backup-simplify]: Simplify (- 0) into 0 17.171 * [backup-simplify]: Simplify (+ 1 0) into 1 17.172 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 a)) into 0 17.172 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) (* -1 (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) into (- (* 1.0 (/ PI (pow a 3)))) 17.173 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2))))) into (- (* 0.5 (/ PI (pow a 3)))) 17.173 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 17.173 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 17.173 * [taylor]: Taking taylor expansion of 0.5 in a 17.173 * [backup-simplify]: Simplify 0.5 into 0.5 17.173 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 17.173 * [taylor]: Taking taylor expansion of PI in a 17.173 * [backup-simplify]: Simplify PI into PI 17.173 * [taylor]: Taking taylor expansion of (pow a 3) in a 17.173 * [taylor]: Taking taylor expansion of a in a 17.173 * [backup-simplify]: Simplify 0 into 0 17.173 * [backup-simplify]: Simplify 1 into 1 17.173 * [backup-simplify]: Simplify (* 1 1) into 1 17.174 * [backup-simplify]: Simplify (* 1 1) into 1 17.175 * [backup-simplify]: Simplify (/ PI 1) into PI 17.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.190 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 17.191 * [backup-simplify]: Simplify (- 0) into 0 17.191 * [backup-simplify]: Simplify 0 into 0 17.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.194 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 17.194 * [backup-simplify]: Simplify 0 into 0 17.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 17.194 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 17.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.196 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 17.196 * [backup-simplify]: Simplify (- 0) into 0 17.197 * [backup-simplify]: Simplify (+ 0 0) into 0 17.198 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (* 1.0 (/ 1 a))) (* 0 (- 1.0)))) into 0 17.198 * [backup-simplify]: Simplify (+ 0 0) into 0 17.198 * [backup-simplify]: Simplify (- 0) into 0 17.199 * [backup-simplify]: Simplify (+ 0 0) into 0 17.199 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 a))) into 1 17.200 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* (- (* 1.0 (/ PI (pow a 3)))) (/ 0 (* -1 (pow a 2)))))) into (* 1.0 (/ PI (pow a 4))) 17.201 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow a 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2)))))) into (* 0.5 (/ PI (pow a 4))) 17.202 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 17.202 * [taylor]: Taking taylor expansion of 0.5 in a 17.202 * [backup-simplify]: Simplify 0.5 into 0.5 17.202 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 17.202 * [taylor]: Taking taylor expansion of PI in a 17.202 * [backup-simplify]: Simplify PI into PI 17.202 * [taylor]: Taking taylor expansion of (pow a 4) in a 17.202 * [taylor]: Taking taylor expansion of a in a 17.202 * [backup-simplify]: Simplify 0 into 0 17.202 * [backup-simplify]: Simplify 1 into 1 17.203 * [backup-simplify]: Simplify (* 1 1) into 1 17.203 * [backup-simplify]: Simplify (* 1 1) into 1 17.204 * [backup-simplify]: Simplify (/ PI 1) into PI 17.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.214 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.214 * [backup-simplify]: Simplify 0 into 0 17.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.219 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.219 * [backup-simplify]: Simplify (- 0) into 0 17.220 * [backup-simplify]: Simplify 0 into 0 17.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.223 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.223 * [backup-simplify]: Simplify 0 into 0 17.223 * [backup-simplify]: Simplify 0 into 0 17.225 * [backup-simplify]: Simplify (/ (* (* (/ PI 2.0) (/ 1.0 (- (/ 1 b) (/ 1 a)))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) (+ (/ 1 a) (/ 1 b))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) 17.225 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in (b a) around 0 17.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in a 17.225 * [taylor]: Taking taylor expansion of 0.5 in a 17.225 * [backup-simplify]: Simplify 0.5 into 0.5 17.225 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a 17.226 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 17.226 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 17.226 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 17.226 * [taylor]: Taking taylor expansion of 1.0 in a 17.226 * [backup-simplify]: Simplify 1.0 into 1.0 17.226 * [taylor]: Taking taylor expansion of a in a 17.226 * [backup-simplify]: Simplify 0 into 0 17.226 * [backup-simplify]: Simplify 1 into 1 17.226 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 17.226 * [taylor]: Taking taylor expansion of 1.0 in a 17.226 * [backup-simplify]: Simplify 1.0 into 1.0 17.226 * [taylor]: Taking taylor expansion of b in a 17.226 * [backup-simplify]: Simplify b into b 17.226 * [taylor]: Taking taylor expansion of PI in a 17.226 * [backup-simplify]: Simplify PI into PI 17.226 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a 17.226 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 17.226 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.226 * [taylor]: Taking taylor expansion of b in a 17.226 * [backup-simplify]: Simplify b into b 17.226 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.226 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.226 * [taylor]: Taking taylor expansion of a in a 17.226 * [backup-simplify]: Simplify 0 into 0 17.226 * [backup-simplify]: Simplify 1 into 1 17.227 * [backup-simplify]: Simplify (/ 1 1) into 1 17.227 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 17.227 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.227 * [taylor]: Taking taylor expansion of b in a 17.227 * [backup-simplify]: Simplify b into b 17.227 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.227 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.227 * [taylor]: Taking taylor expansion of a in a 17.227 * [backup-simplify]: Simplify 0 into 0 17.227 * [backup-simplify]: Simplify 1 into 1 17.227 * [backup-simplify]: Simplify (/ 1 1) into 1 17.228 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.228 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 17.228 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 17.228 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 17.228 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 17.229 * [backup-simplify]: Simplify (- 1) into -1 17.229 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.230 * [backup-simplify]: Simplify (+ 0 1) into 1 17.230 * [backup-simplify]: Simplify (* -1 1) into -1 17.231 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 17.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in b 17.231 * [taylor]: Taking taylor expansion of 0.5 in b 17.231 * [backup-simplify]: Simplify 0.5 into 0.5 17.231 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 17.231 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 17.231 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 17.231 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 17.231 * [taylor]: Taking taylor expansion of 1.0 in b 17.231 * [backup-simplify]: Simplify 1.0 into 1.0 17.231 * [taylor]: Taking taylor expansion of a in b 17.231 * [backup-simplify]: Simplify a into a 17.231 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.231 * [taylor]: Taking taylor expansion of 1.0 in b 17.231 * [backup-simplify]: Simplify 1.0 into 1.0 17.231 * [taylor]: Taking taylor expansion of b in b 17.231 * [backup-simplify]: Simplify 0 into 0 17.231 * [backup-simplify]: Simplify 1 into 1 17.231 * [taylor]: Taking taylor expansion of PI in b 17.231 * [backup-simplify]: Simplify PI into PI 17.231 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 17.231 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 17.231 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.231 * [taylor]: Taking taylor expansion of b in b 17.231 * [backup-simplify]: Simplify 0 into 0 17.231 * [backup-simplify]: Simplify 1 into 1 17.232 * [backup-simplify]: Simplify (/ 1 1) into 1 17.232 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.232 * [taylor]: Taking taylor expansion of a in b 17.232 * [backup-simplify]: Simplify a into a 17.233 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.233 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 17.233 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.233 * [taylor]: Taking taylor expansion of b in b 17.233 * [backup-simplify]: Simplify 0 into 0 17.233 * [backup-simplify]: Simplify 1 into 1 17.233 * [backup-simplify]: Simplify (/ 1 1) into 1 17.233 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.233 * [taylor]: Taking taylor expansion of a in b 17.233 * [backup-simplify]: Simplify a into a 17.234 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.234 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 17.235 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.235 * [backup-simplify]: Simplify (- 0) into 0 17.235 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 17.235 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 17.236 * [backup-simplify]: Simplify (+ 1 0) into 1 17.236 * [backup-simplify]: Simplify (+ 1 0) into 1 17.237 * [backup-simplify]: Simplify (* 1 1) into 1 17.237 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 17.237 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))))) in b 17.237 * [taylor]: Taking taylor expansion of 0.5 in b 17.237 * [backup-simplify]: Simplify 0.5 into 0.5 17.237 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b 17.237 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 17.237 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 17.237 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 17.237 * [taylor]: Taking taylor expansion of 1.0 in b 17.237 * [backup-simplify]: Simplify 1.0 into 1.0 17.237 * [taylor]: Taking taylor expansion of a in b 17.237 * [backup-simplify]: Simplify a into a 17.237 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.237 * [taylor]: Taking taylor expansion of 1.0 in b 17.237 * [backup-simplify]: Simplify 1.0 into 1.0 17.237 * [taylor]: Taking taylor expansion of b in b 17.237 * [backup-simplify]: Simplify 0 into 0 17.237 * [backup-simplify]: Simplify 1 into 1 17.237 * [taylor]: Taking taylor expansion of PI in b 17.237 * [backup-simplify]: Simplify PI into PI 17.237 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b 17.237 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 17.237 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.237 * [taylor]: Taking taylor expansion of b in b 17.238 * [backup-simplify]: Simplify 0 into 0 17.238 * [backup-simplify]: Simplify 1 into 1 17.238 * [backup-simplify]: Simplify (/ 1 1) into 1 17.238 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.238 * [taylor]: Taking taylor expansion of a in b 17.238 * [backup-simplify]: Simplify a into a 17.238 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.239 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 17.239 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.239 * [taylor]: Taking taylor expansion of b in b 17.239 * [backup-simplify]: Simplify 0 into 0 17.239 * [backup-simplify]: Simplify 1 into 1 17.239 * [backup-simplify]: Simplify (/ 1 1) into 1 17.239 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.239 * [taylor]: Taking taylor expansion of a in b 17.239 * [backup-simplify]: Simplify a into a 17.239 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.239 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 17.240 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.240 * [backup-simplify]: Simplify (- 0) into 0 17.240 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 17.240 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 17.241 * [backup-simplify]: Simplify (+ 1 0) into 1 17.241 * [backup-simplify]: Simplify (+ 1 0) into 1 17.242 * [backup-simplify]: Simplify (* 1 1) into 1 17.242 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 17.242 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 17.242 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 17.242 * [taylor]: Taking taylor expansion of 0.5 in a 17.242 * [backup-simplify]: Simplify 0.5 into 0.5 17.242 * [taylor]: Taking taylor expansion of (* a PI) in a 17.242 * [taylor]: Taking taylor expansion of a in a 17.242 * [backup-simplify]: Simplify 0 into 0 17.242 * [backup-simplify]: Simplify 1 into 1 17.242 * [taylor]: Taking taylor expansion of PI in a 17.242 * [backup-simplify]: Simplify PI into PI 17.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.245 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.245 * [backup-simplify]: Simplify (* 0 PI) into 0 17.246 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 17.246 * [backup-simplify]: Simplify 0 into 0 17.247 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 17.248 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 17.249 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.249 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 17.251 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 17.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.251 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 17.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.252 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 17.252 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 17.253 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 17.255 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 17.257 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 17.257 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 17.257 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 17.257 * [taylor]: Taking taylor expansion of 0.5 in a 17.257 * [backup-simplify]: Simplify 0.5 into 0.5 17.257 * [taylor]: Taking taylor expansion of PI in a 17.257 * [backup-simplify]: Simplify PI into PI 17.258 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 17.258 * [backup-simplify]: Simplify (- 0) into 0 17.258 * [backup-simplify]: Simplify 0 into 0 17.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.261 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.261 * [backup-simplify]: Simplify 0 into 0 17.262 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 17.262 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 17.263 * [backup-simplify]: Simplify (- 0) into 0 17.263 * [backup-simplify]: Simplify (+ 0 0) into 0 17.264 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 17.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 17.266 * [backup-simplify]: Simplify (+ 0 0) into 0 17.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 17.267 * [backup-simplify]: Simplify (- 0) into 0 17.268 * [backup-simplify]: Simplify (+ 0 0) into 0 17.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 17.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 17.272 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 17.273 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 17.273 * [taylor]: Taking taylor expansion of 0.5 in a 17.273 * [backup-simplify]: Simplify 0.5 into 0.5 17.273 * [taylor]: Taking taylor expansion of (/ PI a) in a 17.273 * [taylor]: Taking taylor expansion of PI in a 17.273 * [backup-simplify]: Simplify PI into PI 17.273 * [taylor]: Taking taylor expansion of a in a 17.273 * [backup-simplify]: Simplify 0 into 0 17.273 * [backup-simplify]: Simplify 1 into 1 17.273 * [backup-simplify]: Simplify (/ PI 1) into PI 17.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.276 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.277 * [backup-simplify]: Simplify 0 into 0 17.279 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.279 * [backup-simplify]: Simplify (- 0) into 0 17.279 * [backup-simplify]: Simplify 0 into 0 17.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.282 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 17.282 * [backup-simplify]: Simplify 0 into 0 17.282 * [backup-simplify]: Simplify 0 into 0 17.283 * [backup-simplify]: Simplify (/ (* (* (/ PI 2.0) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) 17.283 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in (b a) around 0 17.283 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in a 17.283 * [taylor]: Taking taylor expansion of -0.5 in a 17.283 * [backup-simplify]: Simplify -0.5 into -0.5 17.283 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in a 17.283 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 17.283 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 17.283 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 17.283 * [taylor]: Taking taylor expansion of 1.0 in a 17.283 * [backup-simplify]: Simplify 1.0 into 1.0 17.283 * [taylor]: Taking taylor expansion of b in a 17.283 * [backup-simplify]: Simplify b into b 17.283 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 17.283 * [taylor]: Taking taylor expansion of 1.0 in a 17.283 * [backup-simplify]: Simplify 1.0 into 1.0 17.283 * [taylor]: Taking taylor expansion of a in a 17.283 * [backup-simplify]: Simplify 0 into 0 17.283 * [backup-simplify]: Simplify 1 into 1 17.283 * [taylor]: Taking taylor expansion of PI in a 17.283 * [backup-simplify]: Simplify PI into PI 17.283 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in a 17.283 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 17.283 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.283 * [taylor]: Taking taylor expansion of a in a 17.283 * [backup-simplify]: Simplify 0 into 0 17.284 * [backup-simplify]: Simplify 1 into 1 17.284 * [backup-simplify]: Simplify (/ 1 1) into 1 17.284 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.284 * [taylor]: Taking taylor expansion of b in a 17.284 * [backup-simplify]: Simplify b into b 17.284 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.284 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 17.284 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.284 * [taylor]: Taking taylor expansion of b in a 17.284 * [backup-simplify]: Simplify b into b 17.284 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.284 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.284 * [taylor]: Taking taylor expansion of a in a 17.284 * [backup-simplify]: Simplify 0 into 0 17.284 * [backup-simplify]: Simplify 1 into 1 17.285 * [backup-simplify]: Simplify (/ 1 1) into 1 17.285 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 17.286 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.286 * [backup-simplify]: Simplify (- 0) into 0 17.286 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 17.286 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 17.287 * [backup-simplify]: Simplify (+ 1 0) into 1 17.287 * [backup-simplify]: Simplify (+ 0 1) into 1 17.287 * [backup-simplify]: Simplify (* 1 1) into 1 17.287 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 17.287 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in b 17.288 * [taylor]: Taking taylor expansion of -0.5 in b 17.288 * [backup-simplify]: Simplify -0.5 into -0.5 17.288 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in b 17.288 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 17.288 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 17.288 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.288 * [taylor]: Taking taylor expansion of 1.0 in b 17.288 * [backup-simplify]: Simplify 1.0 into 1.0 17.288 * [taylor]: Taking taylor expansion of b in b 17.288 * [backup-simplify]: Simplify 0 into 0 17.288 * [backup-simplify]: Simplify 1 into 1 17.288 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 17.288 * [taylor]: Taking taylor expansion of 1.0 in b 17.288 * [backup-simplify]: Simplify 1.0 into 1.0 17.288 * [taylor]: Taking taylor expansion of a in b 17.288 * [backup-simplify]: Simplify a into a 17.288 * [taylor]: Taking taylor expansion of PI in b 17.288 * [backup-simplify]: Simplify PI into PI 17.288 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in b 17.288 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 17.288 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.288 * [taylor]: Taking taylor expansion of a in b 17.288 * [backup-simplify]: Simplify a into a 17.288 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.288 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.288 * [taylor]: Taking taylor expansion of b in b 17.288 * [backup-simplify]: Simplify 0 into 0 17.288 * [backup-simplify]: Simplify 1 into 1 17.289 * [backup-simplify]: Simplify (/ 1 1) into 1 17.289 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 17.289 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.289 * [taylor]: Taking taylor expansion of b in b 17.289 * [backup-simplify]: Simplify 0 into 0 17.289 * [backup-simplify]: Simplify 1 into 1 17.289 * [backup-simplify]: Simplify (/ 1 1) into 1 17.289 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.289 * [taylor]: Taking taylor expansion of a in b 17.289 * [backup-simplify]: Simplify a into a 17.290 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.291 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.291 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 17.291 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 17.291 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 17.291 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 17.292 * [backup-simplify]: Simplify (- 1) into -1 17.292 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.293 * [backup-simplify]: Simplify (+ 1 0) into 1 17.294 * [backup-simplify]: Simplify (* -1 1) into -1 17.294 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 17.294 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))))) in b 17.294 * [taylor]: Taking taylor expansion of -0.5 in b 17.294 * [backup-simplify]: Simplify -0.5 into -0.5 17.294 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) in b 17.294 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 17.294 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 17.294 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.294 * [taylor]: Taking taylor expansion of 1.0 in b 17.294 * [backup-simplify]: Simplify 1.0 into 1.0 17.294 * [taylor]: Taking taylor expansion of b in b 17.294 * [backup-simplify]: Simplify 0 into 0 17.294 * [backup-simplify]: Simplify 1 into 1 17.294 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 17.294 * [taylor]: Taking taylor expansion of 1.0 in b 17.294 * [backup-simplify]: Simplify 1.0 into 1.0 17.294 * [taylor]: Taking taylor expansion of a in b 17.294 * [backup-simplify]: Simplify a into a 17.294 * [taylor]: Taking taylor expansion of PI in b 17.294 * [backup-simplify]: Simplify PI into PI 17.294 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a))) in b 17.294 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 17.295 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.295 * [taylor]: Taking taylor expansion of a in b 17.295 * [backup-simplify]: Simplify a into a 17.295 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.295 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.295 * [taylor]: Taking taylor expansion of b in b 17.295 * [backup-simplify]: Simplify 0 into 0 17.295 * [backup-simplify]: Simplify 1 into 1 17.295 * [backup-simplify]: Simplify (/ 1 1) into 1 17.295 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 17.295 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.295 * [taylor]: Taking taylor expansion of b in b 17.295 * [backup-simplify]: Simplify 0 into 0 17.295 * [backup-simplify]: Simplify 1 into 1 17.296 * [backup-simplify]: Simplify (/ 1 1) into 1 17.296 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.296 * [taylor]: Taking taylor expansion of a in b 17.296 * [backup-simplify]: Simplify a into a 17.296 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.296 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.296 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 17.297 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 17.297 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 17.297 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 17.297 * [backup-simplify]: Simplify (- 1) into -1 17.297 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.298 * [backup-simplify]: Simplify (+ 1 0) into 1 17.298 * [backup-simplify]: Simplify (* -1 1) into -1 17.298 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 17.299 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* a PI))) into (* -0.5 (* a PI)) 17.299 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 17.299 * [taylor]: Taking taylor expansion of -0.5 in a 17.299 * [backup-simplify]: Simplify -0.5 into -0.5 17.299 * [taylor]: Taking taylor expansion of (* a PI) in a 17.299 * [taylor]: Taking taylor expansion of a in a 17.299 * [backup-simplify]: Simplify 0 into 0 17.299 * [backup-simplify]: Simplify 1 into 1 17.299 * [taylor]: Taking taylor expansion of PI in a 17.299 * [backup-simplify]: Simplify PI into PI 17.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.301 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.302 * [backup-simplify]: Simplify (* 0 PI) into 0 17.303 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 17.303 * [backup-simplify]: Simplify 0 into 0 17.304 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 17.304 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 17.305 * [backup-simplify]: Simplify (- 0) into 0 17.305 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.306 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 17.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.307 * [backup-simplify]: Simplify (+ 0 (/ 1 a)) into (/ 1 a) 17.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.308 * [backup-simplify]: Simplify (- 0) into 0 17.308 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 17.308 * [backup-simplify]: Simplify (+ (* -1 (/ 1 a)) (* (/ 1 a) 1)) into 0 17.309 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* a PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 17.311 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (* 0.5 PI) 17.311 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 17.311 * [taylor]: Taking taylor expansion of 0.5 in a 17.311 * [backup-simplify]: Simplify 0.5 into 0.5 17.311 * [taylor]: Taking taylor expansion of PI in a 17.311 * [backup-simplify]: Simplify PI into PI 17.312 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 17.312 * [backup-simplify]: Simplify 0 into 0 17.313 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.315 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.315 * [backup-simplify]: Simplify 0 into 0 17.316 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 17.316 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 17.317 * [backup-simplify]: Simplify (- 0) into 0 17.317 * [backup-simplify]: Simplify (+ 0 0) into 0 17.318 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 17.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 17.320 * [backup-simplify]: Simplify (+ 0 0) into 0 17.320 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 17.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.321 * [backup-simplify]: Simplify (- 0) into 0 17.322 * [backup-simplify]: Simplify (+ 0 0) into 0 17.323 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 1))) into (/ 1 (pow a 2)) 17.325 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 (pow a 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI a)) 17.326 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 17.326 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 17.326 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 17.326 * [taylor]: Taking taylor expansion of 0.5 in a 17.326 * [backup-simplify]: Simplify 0.5 into 0.5 17.326 * [taylor]: Taking taylor expansion of (/ PI a) in a 17.326 * [taylor]: Taking taylor expansion of PI in a 17.326 * [backup-simplify]: Simplify PI into PI 17.326 * [taylor]: Taking taylor expansion of a in a 17.326 * [backup-simplify]: Simplify 0 into 0 17.326 * [backup-simplify]: Simplify 1 into 1 17.327 * [backup-simplify]: Simplify (/ PI 1) into PI 17.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.332 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.333 * [backup-simplify]: Simplify (- 0) into 0 17.333 * [backup-simplify]: Simplify 0 into 0 17.334 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.334 * [backup-simplify]: Simplify 0 into 0 17.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.337 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 17.337 * [backup-simplify]: Simplify 0 into 0 17.337 * [backup-simplify]: Simplify 0 into 0 17.337 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 17.337 * [backup-simplify]: Simplify (- (/ 1.0 a) (/ 1.0 b)) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 17.337 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in (a b) around 0 17.337 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 17.337 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 17.337 * [taylor]: Taking taylor expansion of 1.0 in b 17.337 * [backup-simplify]: Simplify 1.0 into 1.0 17.338 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.338 * [taylor]: Taking taylor expansion of a in b 17.338 * [backup-simplify]: Simplify a into a 17.338 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 17.338 * [taylor]: Taking taylor expansion of 1.0 in b 17.338 * [backup-simplify]: Simplify 1.0 into 1.0 17.338 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.338 * [taylor]: Taking taylor expansion of b in b 17.338 * [backup-simplify]: Simplify 0 into 0 17.338 * [backup-simplify]: Simplify 1 into 1 17.338 * [backup-simplify]: Simplify (/ 1 1) into 1 17.338 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 17.338 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 17.338 * [taylor]: Taking taylor expansion of 1.0 in a 17.338 * [backup-simplify]: Simplify 1.0 into 1.0 17.338 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.338 * [taylor]: Taking taylor expansion of a in a 17.339 * [backup-simplify]: Simplify 0 into 0 17.339 * [backup-simplify]: Simplify 1 into 1 17.339 * [backup-simplify]: Simplify (/ 1 1) into 1 17.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 17.339 * [taylor]: Taking taylor expansion of 1.0 in a 17.339 * [backup-simplify]: Simplify 1.0 into 1.0 17.339 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.339 * [taylor]: Taking taylor expansion of b in a 17.339 * [backup-simplify]: Simplify b into b 17.339 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.339 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 17.339 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 17.339 * [taylor]: Taking taylor expansion of 1.0 in a 17.339 * [backup-simplify]: Simplify 1.0 into 1.0 17.339 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.339 * [taylor]: Taking taylor expansion of a in a 17.339 * [backup-simplify]: Simplify 0 into 0 17.340 * [backup-simplify]: Simplify 1 into 1 17.340 * [backup-simplify]: Simplify (/ 1 1) into 1 17.340 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 17.340 * [taylor]: Taking taylor expansion of 1.0 in a 17.340 * [backup-simplify]: Simplify 1.0 into 1.0 17.340 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.340 * [taylor]: Taking taylor expansion of b in a 17.340 * [backup-simplify]: Simplify b into b 17.340 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.341 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 17.341 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.341 * [taylor]: Taking taylor expansion of 1.0 in b 17.342 * [backup-simplify]: Simplify 1.0 into 1.0 17.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.344 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 17.344 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 17.344 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 17.344 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 17.344 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b))) in b 17.344 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 17.344 * [taylor]: Taking taylor expansion of 1.0 in b 17.344 * [backup-simplify]: Simplify 1.0 into 1.0 17.344 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.344 * [taylor]: Taking taylor expansion of b in b 17.344 * [backup-simplify]: Simplify 0 into 0 17.344 * [backup-simplify]: Simplify 1 into 1 17.345 * [backup-simplify]: Simplify (/ 1 1) into 1 17.345 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 17.354 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.355 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.356 * [backup-simplify]: Simplify 1.0 into 1.0 17.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.358 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 17.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 17.358 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 17.359 * [backup-simplify]: Simplify (- 0) into 0 17.359 * [backup-simplify]: Simplify (+ 0 0) into 0 17.359 * [taylor]: Taking taylor expansion of 0 in b 17.359 * [backup-simplify]: Simplify 0 into 0 17.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.361 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 17.361 * [backup-simplify]: Simplify (- 0) into 0 17.361 * [backup-simplify]: Simplify 0 into 0 17.361 * [backup-simplify]: Simplify 0 into 0 17.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.364 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 17.365 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 17.365 * [backup-simplify]: Simplify (- 0) into 0 17.366 * [backup-simplify]: Simplify (+ 0 0) into 0 17.366 * [taylor]: Taking taylor expansion of 0 in b 17.366 * [backup-simplify]: Simplify 0 into 0 17.366 * [backup-simplify]: Simplify 0 into 0 17.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.368 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 17.368 * [backup-simplify]: Simplify (- 0) into 0 17.368 * [backup-simplify]: Simplify 0 into 0 17.368 * [backup-simplify]: Simplify 0 into 0 17.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.370 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 17.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 17.372 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 17.372 * [backup-simplify]: Simplify (- 0) into 0 17.373 * [backup-simplify]: Simplify (+ 0 0) into 0 17.373 * [taylor]: Taking taylor expansion of 0 in b 17.373 * [backup-simplify]: Simplify 0 into 0 17.373 * [backup-simplify]: Simplify 0 into 0 17.373 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 a))) (* (- 1.0) (* (/ 1 b) 1))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 17.374 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) into (- (* 1.0 a) (* 1.0 b)) 17.374 * [approximate]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in (a b) around 0 17.374 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 17.374 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 17.374 * [taylor]: Taking taylor expansion of 1.0 in b 17.374 * [backup-simplify]: Simplify 1.0 into 1.0 17.374 * [taylor]: Taking taylor expansion of a in b 17.374 * [backup-simplify]: Simplify a into a 17.374 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.374 * [taylor]: Taking taylor expansion of 1.0 in b 17.374 * [backup-simplify]: Simplify 1.0 into 1.0 17.374 * [taylor]: Taking taylor expansion of b in b 17.374 * [backup-simplify]: Simplify 0 into 0 17.374 * [backup-simplify]: Simplify 1 into 1 17.374 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 17.374 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 17.374 * [taylor]: Taking taylor expansion of 1.0 in a 17.374 * [backup-simplify]: Simplify 1.0 into 1.0 17.374 * [taylor]: Taking taylor expansion of a in a 17.374 * [backup-simplify]: Simplify 0 into 0 17.374 * [backup-simplify]: Simplify 1 into 1 17.374 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 17.374 * [taylor]: Taking taylor expansion of 1.0 in a 17.374 * [backup-simplify]: Simplify 1.0 into 1.0 17.374 * [taylor]: Taking taylor expansion of b in a 17.374 * [backup-simplify]: Simplify b into b 17.374 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 17.375 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 17.375 * [taylor]: Taking taylor expansion of 1.0 in a 17.375 * [backup-simplify]: Simplify 1.0 into 1.0 17.375 * [taylor]: Taking taylor expansion of a in a 17.375 * [backup-simplify]: Simplify 0 into 0 17.375 * [backup-simplify]: Simplify 1 into 1 17.375 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 17.375 * [taylor]: Taking taylor expansion of 1.0 in a 17.375 * [backup-simplify]: Simplify 1.0 into 1.0 17.375 * [taylor]: Taking taylor expansion of b in a 17.375 * [backup-simplify]: Simplify b into b 17.375 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.375 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 17.376 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 17.376 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 17.376 * [taylor]: Taking taylor expansion of (- (* 1.0 b)) in b 17.376 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.376 * [taylor]: Taking taylor expansion of 1.0 in b 17.376 * [backup-simplify]: Simplify 1.0 into 1.0 17.376 * [taylor]: Taking taylor expansion of b in b 17.376 * [backup-simplify]: Simplify 0 into 0 17.376 * [backup-simplify]: Simplify 1 into 1 17.376 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.377 * [backup-simplify]: Simplify (- 0) into 0 17.377 * [backup-simplify]: Simplify 0 into 0 17.378 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 17.379 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 17.379 * [backup-simplify]: Simplify (- 0) into 0 17.380 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 17.380 * [taylor]: Taking taylor expansion of 1.0 in b 17.380 * [backup-simplify]: Simplify 1.0 into 1.0 17.380 * [backup-simplify]: Simplify 1.0 into 1.0 17.382 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 17.382 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.383 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.384 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 17.385 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 17.385 * [backup-simplify]: Simplify (- 0) into 0 17.386 * [backup-simplify]: Simplify (+ 0 0) into 0 17.386 * [taylor]: Taking taylor expansion of 0 in b 17.386 * [backup-simplify]: Simplify 0 into 0 17.386 * [backup-simplify]: Simplify 0 into 0 17.386 * [backup-simplify]: Simplify 0 into 0 17.388 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 17.389 * [backup-simplify]: Simplify (- 0) into 0 17.389 * [backup-simplify]: Simplify 0 into 0 17.390 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.392 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 17.392 * [backup-simplify]: Simplify (- 0) into 0 17.392 * [backup-simplify]: Simplify (+ 0 0) into 0 17.393 * [taylor]: Taking taylor expansion of 0 in b 17.393 * [backup-simplify]: Simplify 0 into 0 17.393 * [backup-simplify]: Simplify 0 into 0 17.393 * [backup-simplify]: Simplify 0 into 0 17.393 * [backup-simplify]: Simplify 0 into 0 17.393 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 b) 1)) (* 1.0 (* 1 (/ 1 a)))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 17.394 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) into (- (* 1.0 b) (* 1.0 a)) 17.394 * [approximate]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in (a b) around 0 17.394 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 17.394 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.394 * [taylor]: Taking taylor expansion of 1.0 in b 17.394 * [backup-simplify]: Simplify 1.0 into 1.0 17.394 * [taylor]: Taking taylor expansion of b in b 17.394 * [backup-simplify]: Simplify 0 into 0 17.394 * [backup-simplify]: Simplify 1 into 1 17.394 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 17.394 * [taylor]: Taking taylor expansion of 1.0 in b 17.394 * [backup-simplify]: Simplify 1.0 into 1.0 17.394 * [taylor]: Taking taylor expansion of a in b 17.394 * [backup-simplify]: Simplify a into a 17.394 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 17.394 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 17.394 * [taylor]: Taking taylor expansion of 1.0 in a 17.394 * [backup-simplify]: Simplify 1.0 into 1.0 17.394 * [taylor]: Taking taylor expansion of b in a 17.394 * [backup-simplify]: Simplify b into b 17.394 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 17.394 * [taylor]: Taking taylor expansion of 1.0 in a 17.394 * [backup-simplify]: Simplify 1.0 into 1.0 17.394 * [taylor]: Taking taylor expansion of a in a 17.394 * [backup-simplify]: Simplify 0 into 0 17.394 * [backup-simplify]: Simplify 1 into 1 17.394 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 17.394 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 17.394 * [taylor]: Taking taylor expansion of 1.0 in a 17.394 * [backup-simplify]: Simplify 1.0 into 1.0 17.394 * [taylor]: Taking taylor expansion of b in a 17.394 * [backup-simplify]: Simplify b into b 17.394 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 17.394 * [taylor]: Taking taylor expansion of 1.0 in a 17.394 * [backup-simplify]: Simplify 1.0 into 1.0 17.394 * [taylor]: Taking taylor expansion of a in a 17.394 * [backup-simplify]: Simplify 0 into 0 17.394 * [backup-simplify]: Simplify 1 into 1 17.394 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 17.395 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.395 * [backup-simplify]: Simplify (- 0) into 0 17.395 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 17.395 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 17.395 * [taylor]: Taking taylor expansion of 1.0 in b 17.395 * [backup-simplify]: Simplify 1.0 into 1.0 17.395 * [taylor]: Taking taylor expansion of b in b 17.395 * [backup-simplify]: Simplify 0 into 0 17.395 * [backup-simplify]: Simplify 1 into 1 17.395 * [backup-simplify]: Simplify (* 1.0 0) into 0 17.395 * [backup-simplify]: Simplify 0 into 0 17.396 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 17.397 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 17.397 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.398 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 17.398 * [taylor]: Taking taylor expansion of (- 1.0) in b 17.398 * [taylor]: Taking taylor expansion of 1.0 in b 17.398 * [backup-simplify]: Simplify 1.0 into 1.0 17.398 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.398 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 17.400 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 17.400 * [backup-simplify]: Simplify 1.0 into 1.0 17.401 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 17.402 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 17.402 * [backup-simplify]: Simplify (- 0) into 0 17.403 * [backup-simplify]: Simplify (+ 0 0) into 0 17.403 * [taylor]: Taking taylor expansion of 0 in b 17.403 * [backup-simplify]: Simplify 0 into 0 17.403 * [backup-simplify]: Simplify 0 into 0 17.403 * [backup-simplify]: Simplify (- 0) into 0 17.403 * [backup-simplify]: Simplify 0 into 0 17.404 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 17.404 * [backup-simplify]: Simplify 0 into 0 17.406 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 17.407 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 17.407 * [backup-simplify]: Simplify (- 0) into 0 17.407 * [backup-simplify]: Simplify (+ 0 0) into 0 17.407 * [taylor]: Taking taylor expansion of 0 in b 17.408 * [backup-simplify]: Simplify 0 into 0 17.408 * [backup-simplify]: Simplify 0 into 0 17.408 * [backup-simplify]: Simplify 0 into 0 17.408 * [backup-simplify]: Simplify (- 0) into 0 17.408 * [backup-simplify]: Simplify 0 into 0 17.409 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- b)) 1)) (* (- 1.0) (* 1 (/ 1 (- a))))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 17.409 * * * [progress]: simplifying candidates 17.415 * [simplify]: Simplifying: (* (/ PI 2.0) (/ 1.0 (- b a))) (+ (- (log PI) (log 2.0)) (- (log 1.0) (log (- b a)))) (+ (- (log PI) (log 2.0)) (log (/ 1.0 (- b a)))) (+ (log (/ PI 2.0)) (- (log 1.0) (log (- b a)))) (+ (log (/ PI 2.0)) (log (/ 1.0 (- b a)))) (log (* (/ PI 2.0) (/ 1.0 (- b a)))) (exp (* (/ PI 2.0) (/ 1.0 (- b a)))) (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (cbrt (* (/ PI 2.0) (/ 1.0 (- b a)))) (cbrt (* (/ PI 2.0) (/ 1.0 (- b a))))) (cbrt (* (/ PI 2.0) (/ 1.0 (- b a)))) (* (* (* (/ PI 2.0) (/ 1.0 (- b a))) (* (/ PI 2.0) (/ 1.0 (- b a)))) (* (/ PI 2.0) (/ 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1.0 a) (/ 1.0 b))))) (* (+ a b) (+ (/ 1.0 a) (/ 1.0 b))) (* (+ a b) (* 2.0 (- b a))) (* (+ a b) (- b a)) (* (+ a b) 2.0) (/ (exp (/ 1.0 a)) (exp (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (- (* 1.0 b) (* a 1.0)) (* a b) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3)) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b)))) (- (/ 1.0 b)) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b))) (+ (/ 1.0 a) (/ 1.0 b)) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1.0 b)) 0 0 0 (* 0.5 (/ PI (* a b))) (* 0.5 (/ PI (* a b))) (* 0.5 (/ PI (* a b))) 0 0 0 (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 17.425 * * [simplify]: iteration 0: 305 enodes 17.616 * * [simplify]: iteration 1: 1006 enodes 18.779 * * [simplify]: iteration 2: 4422 enodes 21.199 * * [simplify]: iteration complete: 5002 enodes 21.200 * * [simplify]: Extracting #0: cost 147 inf + 0 21.206 * * [simplify]: Extracting #1: cost 1412 inf + 1 21.222 * * [simplify]: Extracting #2: cost 1979 inf + 3197 21.251 * * [simplify]: Extracting #3: cost 1484 inf + 82321 21.369 * * [simplify]: Extracting #4: cost 350 inf + 366815 21.528 * * [simplify]: Extracting #5: cost 12 inf + 461245 21.710 * * [simplify]: Extracting #6: cost 0 inf 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(/ 1.0 b)))) (* (/ (/ PI 2.0) (/ (- b a) 1.0)) (- (- (/ 1.0 a) (/ 1.0 b)))) (- (- a) b) (* (/ (/ 1.0 (- b a)) (cbrt (+ a b))) (/ (/ PI 2.0) (cbrt (+ a b)))) (/ (- (/ 1.0 a) (/ 1.0 b)) (cbrt (+ a b))) (/ (/ (/ PI 2.0) (/ (- b a) 1.0)) (sqrt (+ a b))) (/ (- (/ 1.0 a) (/ 1.0 b)) (sqrt (+ a b))) (/ (/ PI 2.0) (/ (- b a) 1.0)) (/ (- (/ 1.0 a) (/ 1.0 b)) (+ a b)) (/ (/ PI 2.0) (/ (- b a) 1.0)) (/ (- (/ 1.0 a) (/ 1.0 b)) (+ a b)) (/ 1 (+ a b)) (/ (* (/ (+ a b) (/ (* PI 1.0) (- b a))) 2.0) (- (/ 1.0 a) (/ 1.0 b))) (/ (/ (/ (* 1.0 (* (/ PI 2.0) (- (/ 1.0 a) (/ 1.0 b)))) (- b a)) (cbrt (+ a b))) (cbrt (+ a b))) (/ (/ (* 1.0 (* (/ PI 2.0) (- (/ 1.0 a) (/ 1.0 b)))) (- b a)) (sqrt (+ a b))) (/ (* 1.0 (* (/ PI 2.0) (- (/ 1.0 a) (/ 1.0 b)))) (- b a)) (/ (* 1.0 (* (/ PI 2.0) (- (/ 1.0 a) (/ 1.0 b)))) (- b a)) (/ (+ a b) (- (/ 1.0 a) (/ 1.0 b))) (/ (/ (* 1.0 (* (/ PI 2.0) (- (/ 1.0 a) (/ 1.0 b)))) (- b a)) (+ (* b (* b b)) (* a (* a a)))) (/ (/ (* PI 1.0) (- b a)) (* (/ (- (* a a) (* b b)) (- (/ 1.0 a) (/ 1.0 b))) 2.0)) (* (* (- (* b b) (* a a)) 2.0) (* a b)) (* 2.0 (* (+ a b) (* (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 a) (/ 1.0 b)))) (- b a)))) (* (+ (/ 1.0 a) (/ 1.0 b)) (* (- (* b b) (* a a)) 2.0)) (* (* (- (* b b) (* a a)) a) b) (* (+ a b) (* (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 a) (/ 1.0 b)))) (- b a))) (* (+ a b) (* (- b a) (+ (/ 1.0 a) (/ 1.0 b)))) (* (* (+ a b) (* a b)) 2.0) (* 2.0 (* (+ a b) (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 a) (/ 1.0 b)))))) (* (+ a b) (* 2.0 (+ (/ 1.0 a) (/ 1.0 b)))) (* (+ a b) (* a b)) (* (+ a b) (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 a) (/ 1.0 b))))) (* (+ (/ 1.0 a) (/ 1.0 b)) (+ a b)) (* (- (* b b) (* a a)) 2.0) (- (* b b) (* a a)) (* 2.0 (+ a b)) (exp (- (/ 1.0 a) (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (* (- (/ 1.0 a) (/ 1.0 b)) (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (* 1.0 (- b a)) (* a b) (- (* (* (/ 1.0 a) (/ 1.0 a)) (/ 1.0 a)) (* (* (/ 1.0 b) (/ 1.0 b)) (/ 1.0 b))) (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 a) (/ 1.0 b)))) (/ (- 1.0) b) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b))) (+ (/ 1.0 a) (/ 1.0 b)) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt b)) (sqrt (/ 1.0 a))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (sqrt (/ 1.0 b)) (/ (sqrt 1.0) (sqrt a))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt a))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (/ (- 1.0) b) 0 0 0 (/ 0.5 (/ (* a b) PI)) (/ 0.5 (/ (* a b) PI)) (/ 0.5 (/ (* a b) PI)) 0 0 0 (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) 21.922 * * * [progress]: adding candidates to table 23.327 * * [progress]: iteration 4 / 4 23.327 * * * [progress]: picking best candidate 23.406 * * * * [pick]: Picked # 23.406 * * * [progress]: localizing error 23.432 * * * [progress]: generating rewritten candidates 23.432 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1 2) 23.448 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 23.521 * * * [progress]: generating series expansions 23.521 * * * * [progress]: [ 1 / 2 ] generating series at (2 1 2) 23.522 * [backup-simplify]: Simplify (/ PI (* a b)) into (/ PI (* a b)) 23.522 * [approximate]: Taking taylor expansion of (/ PI (* a b)) in (a b) around 0 23.522 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in b 23.522 * [taylor]: Taking taylor expansion of PI in b 23.522 * [backup-simplify]: Simplify PI into PI 23.522 * [taylor]: Taking taylor expansion of (* a b) in b 23.522 * [taylor]: Taking taylor expansion of a in b 23.522 * [backup-simplify]: Simplify a into a 23.522 * [taylor]: Taking taylor expansion of b in b 23.522 * [backup-simplify]: Simplify 0 into 0 23.522 * [backup-simplify]: Simplify 1 into 1 23.522 * [backup-simplify]: Simplify (* a 0) into 0 23.523 * [backup-simplify]: Simplify (+ (* a 1) (* 0 0)) into a 23.523 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 23.523 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 23.523 * [taylor]: Taking taylor expansion of PI in a 23.523 * [backup-simplify]: Simplify PI into PI 23.523 * [taylor]: Taking taylor expansion of (* a b) in a 23.523 * [taylor]: Taking taylor expansion of a in a 23.523 * [backup-simplify]: Simplify 0 into 0 23.523 * [backup-simplify]: Simplify 1 into 1 23.523 * [taylor]: Taking taylor expansion of b in a 23.523 * [backup-simplify]: Simplify b into b 23.523 * [backup-simplify]: Simplify (* 0 b) into 0 23.524 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 23.524 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 23.524 * [taylor]: Taking taylor expansion of (/ PI (* a b)) in a 23.524 * [taylor]: Taking taylor expansion of PI in a 23.524 * [backup-simplify]: Simplify PI into PI 23.524 * [taylor]: Taking taylor expansion of (* a b) in a 23.524 * [taylor]: Taking taylor expansion of a in a 23.524 * [backup-simplify]: Simplify 0 into 0 23.524 * [backup-simplify]: Simplify 1 into 1 23.524 * [taylor]: Taking taylor expansion of b in a 23.524 * [backup-simplify]: Simplify b into b 23.524 * [backup-simplify]: Simplify (* 0 b) into 0 23.525 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 b)) into b 23.525 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 23.525 * [taylor]: Taking taylor expansion of (/ PI b) in b 23.525 * [taylor]: Taking taylor expansion of PI in b 23.525 * [backup-simplify]: Simplify PI into PI 23.525 * [taylor]: Taking taylor expansion of b in b 23.525 * [backup-simplify]: Simplify 0 into 0 23.525 * [backup-simplify]: Simplify 1 into 1 23.526 * [backup-simplify]: Simplify (/ PI 1) into PI 23.526 * [backup-simplify]: Simplify PI into PI 23.527 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 23.527 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)))) into 0 23.527 * [taylor]: Taking taylor expansion of 0 in b 23.527 * [backup-simplify]: Simplify 0 into 0 23.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.528 * [backup-simplify]: Simplify 0 into 0 23.529 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 23.529 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 23.529 * [taylor]: Taking taylor expansion of 0 in b 23.529 * [backup-simplify]: Simplify 0 into 0 23.529 * [backup-simplify]: Simplify 0 into 0 23.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.531 * [backup-simplify]: Simplify 0 into 0 23.532 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 23.532 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 23.532 * [taylor]: Taking taylor expansion of 0 in b 23.532 * [backup-simplify]: Simplify 0 into 0 23.532 * [backup-simplify]: Simplify 0 into 0 23.533 * [backup-simplify]: Simplify 0 into 0 23.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.534 * [backup-simplify]: Simplify 0 into 0 23.534 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 23.534 * [backup-simplify]: Simplify (/ PI (* (/ 1 a) (/ 1 b))) into (* a (* b PI)) 23.534 * [approximate]: Taking taylor expansion of (* a (* b PI)) in (a b) around 0 23.534 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 23.534 * [taylor]: Taking taylor expansion of a in b 23.534 * [backup-simplify]: Simplify a into a 23.534 * [taylor]: Taking taylor expansion of (* b PI) in b 23.534 * [taylor]: Taking taylor expansion of b in b 23.534 * [backup-simplify]: Simplify 0 into 0 23.534 * [backup-simplify]: Simplify 1 into 1 23.534 * [taylor]: Taking taylor expansion of PI in b 23.534 * [backup-simplify]: Simplify PI into PI 23.534 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 23.534 * [taylor]: Taking taylor expansion of a in a 23.534 * [backup-simplify]: Simplify 0 into 0 23.534 * [backup-simplify]: Simplify 1 into 1 23.535 * [taylor]: Taking taylor expansion of (* b PI) in a 23.535 * [taylor]: Taking taylor expansion of b in a 23.535 * [backup-simplify]: Simplify b into b 23.535 * [taylor]: Taking taylor expansion of PI in a 23.535 * [backup-simplify]: Simplify PI into PI 23.535 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 23.535 * [taylor]: Taking taylor expansion of a in a 23.535 * [backup-simplify]: Simplify 0 into 0 23.535 * [backup-simplify]: Simplify 1 into 1 23.535 * [taylor]: Taking taylor expansion of (* b PI) in a 23.535 * [taylor]: Taking taylor expansion of b in a 23.535 * [backup-simplify]: Simplify b into b 23.535 * [taylor]: Taking taylor expansion of PI in a 23.535 * [backup-simplify]: Simplify PI into PI 23.535 * [backup-simplify]: Simplify (* b PI) into (* PI b) 23.535 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 23.535 * [taylor]: Taking taylor expansion of 0 in b 23.535 * [backup-simplify]: Simplify 0 into 0 23.535 * [backup-simplify]: Simplify 0 into 0 23.536 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 23.536 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 23.536 * [taylor]: Taking taylor expansion of (* b PI) in b 23.536 * [taylor]: Taking taylor expansion of b in b 23.536 * [backup-simplify]: Simplify 0 into 0 23.536 * [backup-simplify]: Simplify 1 into 1 23.536 * [taylor]: Taking taylor expansion of PI in b 23.536 * [backup-simplify]: Simplify PI into PI 23.537 * [backup-simplify]: Simplify (* 0 PI) into 0 23.537 * [backup-simplify]: Simplify 0 into 0 23.537 * [backup-simplify]: Simplify 0 into 0 23.538 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 23.539 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 23.539 * [taylor]: Taking taylor expansion of 0 in b 23.539 * [backup-simplify]: Simplify 0 into 0 23.539 * [backup-simplify]: Simplify 0 into 0 23.540 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.540 * [backup-simplify]: Simplify PI into PI 23.540 * [backup-simplify]: Simplify 0 into 0 23.541 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.542 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 23.542 * [taylor]: Taking taylor expansion of 0 in b 23.542 * [backup-simplify]: Simplify 0 into 0 23.542 * [backup-simplify]: Simplify 0 into 0 23.542 * [backup-simplify]: Simplify 0 into 0 23.543 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 23.544 * [backup-simplify]: Simplify 0 into 0 23.544 * [backup-simplify]: Simplify 0 into 0 23.545 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 23.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 23.546 * [taylor]: Taking taylor expansion of 0 in b 23.546 * [backup-simplify]: Simplify 0 into 0 23.546 * [backup-simplify]: Simplify 0 into 0 23.546 * [backup-simplify]: Simplify (* PI (* (/ 1 b) (/ 1 a))) into (/ PI (* a b)) 23.547 * [backup-simplify]: Simplify (/ PI (* (/ 1 (- a)) (/ 1 (- b)))) into (* a (* b PI)) 23.547 * [approximate]: Taking taylor expansion of (* a (* b PI)) in (a b) around 0 23.547 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 23.547 * [taylor]: Taking taylor expansion of a in b 23.547 * [backup-simplify]: Simplify a into a 23.547 * [taylor]: Taking taylor expansion of (* b PI) in b 23.547 * [taylor]: Taking taylor expansion of b in b 23.547 * [backup-simplify]: Simplify 0 into 0 23.547 * [backup-simplify]: Simplify 1 into 1 23.547 * [taylor]: Taking taylor expansion of PI in b 23.547 * [backup-simplify]: Simplify PI into PI 23.547 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 23.547 * [taylor]: Taking taylor expansion of a in a 23.547 * [backup-simplify]: Simplify 0 into 0 23.547 * [backup-simplify]: Simplify 1 into 1 23.547 * [taylor]: Taking taylor expansion of (* b PI) in a 23.547 * [taylor]: Taking taylor expansion of b in a 23.547 * [backup-simplify]: Simplify b into b 23.547 * [taylor]: Taking taylor expansion of PI in a 23.547 * [backup-simplify]: Simplify PI into PI 23.547 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 23.547 * [taylor]: Taking taylor expansion of a in a 23.547 * [backup-simplify]: Simplify 0 into 0 23.547 * [backup-simplify]: Simplify 1 into 1 23.547 * [taylor]: Taking taylor expansion of (* b PI) in a 23.547 * [taylor]: Taking taylor expansion of b in a 23.547 * [backup-simplify]: Simplify b into b 23.547 * [taylor]: Taking taylor expansion of PI in a 23.547 * [backup-simplify]: Simplify PI into PI 23.547 * [backup-simplify]: Simplify (* b PI) into (* PI b) 23.547 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 23.547 * [taylor]: Taking taylor expansion of 0 in b 23.548 * [backup-simplify]: Simplify 0 into 0 23.548 * [backup-simplify]: Simplify 0 into 0 23.548 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 23.549 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 23.549 * [taylor]: Taking taylor expansion of (* b PI) in b 23.549 * [taylor]: Taking taylor expansion of b in b 23.549 * [backup-simplify]: Simplify 0 into 0 23.549 * [backup-simplify]: Simplify 1 into 1 23.549 * [taylor]: Taking taylor expansion of PI in b 23.549 * [backup-simplify]: Simplify PI into PI 23.549 * [backup-simplify]: Simplify (* 0 PI) into 0 23.549 * [backup-simplify]: Simplify 0 into 0 23.549 * [backup-simplify]: Simplify 0 into 0 23.550 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 23.551 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 23.551 * [taylor]: Taking taylor expansion of 0 in b 23.551 * [backup-simplify]: Simplify 0 into 0 23.551 * [backup-simplify]: Simplify 0 into 0 23.552 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.552 * [backup-simplify]: Simplify PI into PI 23.552 * [backup-simplify]: Simplify 0 into 0 23.553 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 23.555 * [taylor]: Taking taylor expansion of 0 in b 23.555 * [backup-simplify]: Simplify 0 into 0 23.555 * [backup-simplify]: Simplify 0 into 0 23.555 * [backup-simplify]: Simplify 0 into 0 23.556 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 23.556 * [backup-simplify]: Simplify 0 into 0 23.556 * [backup-simplify]: Simplify 0 into 0 23.557 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 23.558 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* PI b)))))) into 0 23.558 * [taylor]: Taking taylor expansion of 0 in b 23.558 * [backup-simplify]: Simplify 0 into 0 23.558 * [backup-simplify]: Simplify 0 into 0 23.559 * [backup-simplify]: Simplify (* PI (* (/ 1 (- b)) (/ 1 (- a)))) into (/ PI (* a b)) 23.559 * * * * [progress]: [ 2 / 2 ] generating series at (2) 23.559 * [backup-simplify]: Simplify (/ (* 0.5 (/ PI (* a b))) (+ a b)) into (* 0.5 (/ PI (* a (* b (+ a b))))) 23.559 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in (a b) around 0 23.559 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in b 23.559 * [taylor]: Taking taylor expansion of 0.5 in b 23.559 * [backup-simplify]: Simplify 0.5 into 0.5 23.559 * [taylor]: Taking taylor expansion of (/ PI (* a (* b (+ a b)))) in b 23.559 * [taylor]: Taking taylor expansion of PI in b 23.559 * [backup-simplify]: Simplify PI into PI 23.559 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in b 23.559 * [taylor]: Taking taylor expansion of a in b 23.559 * [backup-simplify]: Simplify a into a 23.559 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 23.559 * [taylor]: Taking taylor expansion of b in b 23.559 * [backup-simplify]: Simplify 0 into 0 23.559 * [backup-simplify]: Simplify 1 into 1 23.559 * [taylor]: Taking taylor expansion of (+ a b) in b 23.559 * [taylor]: Taking taylor expansion of a in b 23.559 * [backup-simplify]: Simplify a into a 23.559 * [taylor]: Taking taylor expansion of b in b 23.559 * [backup-simplify]: Simplify 0 into 0 23.559 * [backup-simplify]: Simplify 1 into 1 23.559 * [backup-simplify]: Simplify (+ a 0) into a 23.559 * [backup-simplify]: Simplify (* 0 a) into 0 23.560 * [backup-simplify]: Simplify (* a 0) into 0 23.560 * [backup-simplify]: Simplify (+ 0 1) into 1 23.560 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 23.561 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 23.561 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 23.561 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in a 23.561 * [taylor]: Taking taylor expansion of 0.5 in a 23.561 * [backup-simplify]: Simplify 0.5 into 0.5 23.561 * [taylor]: Taking taylor expansion of (/ PI (* a (* b (+ a b)))) in a 23.561 * [taylor]: Taking taylor expansion of PI in a 23.561 * [backup-simplify]: Simplify PI into PI 23.561 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in a 23.561 * [taylor]: Taking taylor expansion of a in a 23.561 * [backup-simplify]: Simplify 0 into 0 23.561 * [backup-simplify]: Simplify 1 into 1 23.562 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 23.562 * [taylor]: Taking taylor expansion of b in a 23.562 * [backup-simplify]: Simplify b into b 23.562 * [taylor]: Taking taylor expansion of (+ a b) in a 23.562 * [taylor]: Taking taylor expansion of a in a 23.562 * [backup-simplify]: Simplify 0 into 0 23.562 * [backup-simplify]: Simplify 1 into 1 23.562 * [taylor]: Taking taylor expansion of b in a 23.562 * [backup-simplify]: Simplify b into b 23.562 * [backup-simplify]: Simplify (+ 0 b) into b 23.562 * [backup-simplify]: Simplify (* b b) into (pow b 2) 23.562 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 23.562 * [backup-simplify]: Simplify (+ 1 0) into 1 23.563 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 23.563 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 23.563 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 23.563 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in a 23.563 * [taylor]: Taking taylor expansion of 0.5 in a 23.563 * [backup-simplify]: Simplify 0.5 into 0.5 23.563 * [taylor]: Taking taylor expansion of (/ PI (* a (* b (+ a b)))) in a 23.563 * [taylor]: Taking taylor expansion of PI in a 23.563 * [backup-simplify]: Simplify PI into PI 23.563 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in a 23.563 * [taylor]: Taking taylor expansion of a in a 23.563 * [backup-simplify]: Simplify 0 into 0 23.563 * [backup-simplify]: Simplify 1 into 1 23.563 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 23.563 * [taylor]: Taking taylor expansion of b in a 23.563 * [backup-simplify]: Simplify b into b 23.563 * [taylor]: Taking taylor expansion of (+ a b) in a 23.563 * [taylor]: Taking taylor expansion of a in a 23.563 * [backup-simplify]: Simplify 0 into 0 23.563 * [backup-simplify]: Simplify 1 into 1 23.563 * [taylor]: Taking taylor expansion of b in a 23.563 * [backup-simplify]: Simplify b into b 23.563 * [backup-simplify]: Simplify (+ 0 b) into b 23.564 * [backup-simplify]: Simplify (* b b) into (pow b 2) 23.564 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 23.564 * [backup-simplify]: Simplify (+ 1 0) into 1 23.564 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 23.565 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 23.565 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 23.565 * [backup-simplify]: Simplify (* 0.5 (/ PI (pow b 2))) into (* 0.5 (/ PI (pow b 2))) 23.565 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 23.565 * [taylor]: Taking taylor expansion of 0.5 in b 23.565 * [backup-simplify]: Simplify 0.5 into 0.5 23.565 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 23.565 * [taylor]: Taking taylor expansion of PI in b 23.565 * [backup-simplify]: Simplify PI into PI 23.565 * [taylor]: Taking taylor expansion of (pow b 2) in b 23.565 * [taylor]: Taking taylor expansion of b in b 23.565 * [backup-simplify]: Simplify 0 into 0 23.565 * [backup-simplify]: Simplify 1 into 1 23.566 * [backup-simplify]: Simplify (* 1 1) into 1 23.566 * [backup-simplify]: Simplify (/ PI 1) into PI 23.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.568 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.568 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 23.568 * [backup-simplify]: Simplify 0 into 0 23.569 * [backup-simplify]: Simplify (+ 0 0) into 0 23.569 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 1) (* 0 b))) into 0 23.570 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 b) (* 0 (pow b 2)))) into b 23.570 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ b (pow b 2))))) into (- (/ PI (pow b 3))) 23.571 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2)))) into (- (* 0.5 (/ PI (pow b 3)))) 23.571 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 3)))) in b 23.571 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 23.571 * [taylor]: Taking taylor expansion of 0.5 in b 23.571 * [backup-simplify]: Simplify 0.5 into 0.5 23.571 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 23.571 * [taylor]: Taking taylor expansion of PI in b 23.571 * [backup-simplify]: Simplify PI into PI 23.571 * [taylor]: Taking taylor expansion of (pow b 3) in b 23.571 * [taylor]: Taking taylor expansion of b in b 23.571 * [backup-simplify]: Simplify 0 into 0 23.571 * [backup-simplify]: Simplify 1 into 1 23.572 * [backup-simplify]: Simplify (* 1 1) into 1 23.572 * [backup-simplify]: Simplify (* 1 1) into 1 23.573 * [backup-simplify]: Simplify (/ PI 1) into PI 23.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.576 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.577 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.578 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 23.579 * [backup-simplify]: Simplify (- 0) into 0 23.579 * [backup-simplify]: Simplify 0 into 0 23.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.582 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 23.582 * [backup-simplify]: Simplify 0 into 0 23.583 * [backup-simplify]: Simplify (+ 0 0) into 0 23.584 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 1) (* 0 b)))) into 0 23.585 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 b) (* 0 (pow b 2))))) into 0 23.586 * [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)) 23.586 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 4))) (+ (* 0 (- (/ PI (pow b 3)))) (* 0 (/ PI (pow b 2))))) into (* 0.5 (/ PI (pow b 4))) 23.586 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 23.586 * [taylor]: Taking taylor expansion of 0.5 in b 23.586 * [backup-simplify]: Simplify 0.5 into 0.5 23.586 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 23.586 * [taylor]: Taking taylor expansion of PI in b 23.586 * [backup-simplify]: Simplify PI into PI 23.586 * [taylor]: Taking taylor expansion of (pow b 4) in b 23.586 * [taylor]: Taking taylor expansion of b in b 23.587 * [backup-simplify]: Simplify 0 into 0 23.587 * [backup-simplify]: Simplify 1 into 1 23.587 * [backup-simplify]: Simplify (* 1 1) into 1 23.587 * [backup-simplify]: Simplify (* 1 1) into 1 23.588 * [backup-simplify]: Simplify (/ PI 1) into PI 23.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.591 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 23.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 23.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.596 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.597 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.597 * [backup-simplify]: Simplify 0 into 0 23.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.600 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.601 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.601 * [backup-simplify]: Simplify (- 0) into 0 23.601 * [backup-simplify]: Simplify 0 into 0 23.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 23.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.605 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.605 * [backup-simplify]: Simplify 0 into 0 23.605 * [backup-simplify]: Simplify 0 into 0 23.605 * [backup-simplify]: Simplify (/ (* 0.5 (/ PI (* (/ 1 a) (/ 1 b)))) (+ (/ 1 a) (/ 1 b))) into (* 0.5 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) 23.605 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 23.605 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in b 23.605 * [taylor]: Taking taylor expansion of 0.5 in b 23.605 * [backup-simplify]: Simplify 0.5 into 0.5 23.605 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in b 23.605 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 23.605 * [taylor]: Taking taylor expansion of a in b 23.606 * [backup-simplify]: Simplify a into a 23.606 * [taylor]: Taking taylor expansion of (* b PI) in b 23.606 * [taylor]: Taking taylor expansion of b in b 23.606 * [backup-simplify]: Simplify 0 into 0 23.606 * [backup-simplify]: Simplify 1 into 1 23.606 * [taylor]: Taking taylor expansion of PI in b 23.606 * [backup-simplify]: Simplify PI into PI 23.606 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 23.606 * [taylor]: Taking taylor expansion of (/ 1 b) in b 23.606 * [taylor]: Taking taylor expansion of b in b 23.606 * [backup-simplify]: Simplify 0 into 0 23.606 * [backup-simplify]: Simplify 1 into 1 23.606 * [backup-simplify]: Simplify (/ 1 1) into 1 23.606 * [taylor]: Taking taylor expansion of (/ 1 a) in b 23.606 * [taylor]: Taking taylor expansion of a in b 23.606 * [backup-simplify]: Simplify a into a 23.606 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 23.607 * [backup-simplify]: Simplify (* 0 PI) into 0 23.607 * [backup-simplify]: Simplify (* a 0) into 0 23.608 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.609 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 23.609 * [backup-simplify]: Simplify (+ 1 0) into 1 23.609 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 23.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in a 23.609 * [taylor]: Taking taylor expansion of 0.5 in a 23.609 * [backup-simplify]: Simplify 0.5 into 0.5 23.609 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in a 23.609 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 23.609 * [taylor]: Taking taylor expansion of a in a 23.609 * [backup-simplify]: Simplify 0 into 0 23.609 * [backup-simplify]: Simplify 1 into 1 23.609 * [taylor]: Taking taylor expansion of (* b PI) in a 23.609 * [taylor]: Taking taylor expansion of b in a 23.609 * [backup-simplify]: Simplify b into b 23.610 * [taylor]: Taking taylor expansion of PI in a 23.610 * [backup-simplify]: Simplify PI into PI 23.610 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 23.610 * [taylor]: Taking taylor expansion of (/ 1 b) in a 23.610 * [taylor]: Taking taylor expansion of b in a 23.610 * [backup-simplify]: Simplify b into b 23.610 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 23.610 * [taylor]: Taking taylor expansion of (/ 1 a) in a 23.610 * [taylor]: Taking taylor expansion of a in a 23.610 * [backup-simplify]: Simplify 0 into 0 23.610 * [backup-simplify]: Simplify 1 into 1 23.610 * [backup-simplify]: Simplify (/ 1 1) into 1 23.610 * [backup-simplify]: Simplify (* b PI) into (* PI b) 23.610 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 23.611 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 23.611 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 23.612 * [backup-simplify]: Simplify (+ 0 1) into 1 23.612 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 23.612 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in a 23.612 * [taylor]: Taking taylor expansion of 0.5 in a 23.612 * [backup-simplify]: Simplify 0.5 into 0.5 23.612 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in a 23.612 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 23.612 * [taylor]: Taking taylor expansion of a in a 23.612 * [backup-simplify]: Simplify 0 into 0 23.612 * [backup-simplify]: Simplify 1 into 1 23.612 * [taylor]: Taking taylor expansion of (* b PI) in a 23.612 * [taylor]: Taking taylor expansion of b in a 23.612 * [backup-simplify]: Simplify b into b 23.612 * [taylor]: Taking taylor expansion of PI in a 23.612 * [backup-simplify]: Simplify PI into PI 23.612 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 23.612 * [taylor]: Taking taylor expansion of (/ 1 b) in a 23.612 * [taylor]: Taking taylor expansion of b in a 23.612 * [backup-simplify]: Simplify b into b 23.612 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 23.612 * [taylor]: Taking taylor expansion of (/ 1 a) in a 23.612 * [taylor]: Taking taylor expansion of a in a 23.612 * [backup-simplify]: Simplify 0 into 0 23.612 * [backup-simplify]: Simplify 1 into 1 23.613 * [backup-simplify]: Simplify (/ 1 1) into 1 23.613 * [backup-simplify]: Simplify (* b PI) into (* PI b) 23.613 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 23.613 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 23.614 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 23.614 * [backup-simplify]: Simplify (+ 0 1) into 1 23.614 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 23.615 * [backup-simplify]: Simplify (* 0.5 (* b PI)) into (* 0.5 (* b PI)) 23.615 * [taylor]: Taking taylor expansion of (* 0.5 (* b PI)) in b 23.615 * [taylor]: Taking taylor expansion of 0.5 in b 23.615 * [backup-simplify]: Simplify 0.5 into 0.5 23.615 * [taylor]: Taking taylor expansion of (* b PI) in b 23.615 * [taylor]: Taking taylor expansion of b in b 23.615 * [backup-simplify]: Simplify 0 into 0 23.615 * [backup-simplify]: Simplify 1 into 1 23.615 * [taylor]: Taking taylor expansion of PI in b 23.615 * [backup-simplify]: Simplify PI into PI 23.616 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 23.617 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.618 * [backup-simplify]: Simplify (* 0 PI) into 0 23.619 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 23.619 * [backup-simplify]: Simplify 0 into 0 23.620 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 23.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 23.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.621 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 23.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ (/ 1 b) 1)))) into (- PI) 23.623 * [backup-simplify]: Simplify (+ (* 0.5 (- PI)) (* 0 (* b PI))) into (- (* 0.5 PI)) 23.623 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in b 23.623 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 23.623 * [taylor]: Taking taylor expansion of 0.5 in b 23.623 * [backup-simplify]: Simplify 0.5 into 0.5 23.623 * [taylor]: Taking taylor expansion of PI in b 23.623 * [backup-simplify]: Simplify PI into PI 23.624 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 23.624 * [backup-simplify]: Simplify (- 0) into 0 23.624 * [backup-simplify]: Simplify 0 into 0 23.626 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 23.627 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 23.627 * [backup-simplify]: Simplify 0 into 0 23.628 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.629 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 23.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 23.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.631 * [backup-simplify]: Simplify (+ 0 0) into 0 23.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 23.633 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (* 0.5 (/ PI b)) 23.633 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 23.633 * [taylor]: Taking taylor expansion of 0.5 in b 23.633 * [backup-simplify]: Simplify 0.5 into 0.5 23.633 * [taylor]: Taking taylor expansion of (/ PI b) in b 23.633 * [taylor]: Taking taylor expansion of PI in b 23.633 * [backup-simplify]: Simplify PI into PI 23.633 * [taylor]: Taking taylor expansion of b in b 23.633 * [backup-simplify]: Simplify 0 into 0 23.633 * [backup-simplify]: Simplify 1 into 1 23.634 * [backup-simplify]: Simplify (/ PI 1) into PI 23.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.638 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.638 * [backup-simplify]: Simplify 0 into 0 23.639 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.639 * [backup-simplify]: Simplify (- 0) into 0 23.639 * [backup-simplify]: Simplify 0 into 0 23.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 23.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 23.642 * [backup-simplify]: Simplify 0 into 0 23.642 * [backup-simplify]: Simplify 0 into 0 23.643 * [backup-simplify]: Simplify (/ (* 0.5 (/ PI (* (/ 1 (- a)) (/ 1 (- b))))) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) 23.643 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in (a b) around 0 23.643 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in b 23.643 * [taylor]: Taking taylor expansion of -0.5 in b 23.643 * [backup-simplify]: Simplify -0.5 into -0.5 23.643 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in b 23.643 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 23.643 * [taylor]: Taking taylor expansion of a in b 23.643 * [backup-simplify]: Simplify a into a 23.643 * [taylor]: Taking taylor expansion of (* b PI) in b 23.643 * [taylor]: Taking taylor expansion of b in b 23.643 * [backup-simplify]: Simplify 0 into 0 23.643 * [backup-simplify]: Simplify 1 into 1 23.643 * [taylor]: Taking taylor expansion of PI in b 23.643 * [backup-simplify]: Simplify PI into PI 23.643 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b 23.643 * [taylor]: Taking taylor expansion of (/ 1 b) in b 23.643 * [taylor]: Taking taylor expansion of b in b 23.643 * [backup-simplify]: Simplify 0 into 0 23.643 * [backup-simplify]: Simplify 1 into 1 23.644 * [backup-simplify]: Simplify (/ 1 1) into 1 23.644 * [taylor]: Taking taylor expansion of (/ 1 a) in b 23.644 * [taylor]: Taking taylor expansion of a in b 23.644 * [backup-simplify]: Simplify a into a 23.644 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 23.645 * [backup-simplify]: Simplify (* 0 PI) into 0 23.645 * [backup-simplify]: Simplify (* a 0) into 0 23.646 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.647 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 23.647 * [backup-simplify]: Simplify (+ 1 0) into 1 23.647 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 23.647 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in a 23.647 * [taylor]: Taking taylor expansion of -0.5 in a 23.647 * [backup-simplify]: Simplify -0.5 into -0.5 23.647 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in a 23.647 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 23.647 * [taylor]: Taking taylor expansion of a in a 23.647 * [backup-simplify]: Simplify 0 into 0 23.647 * [backup-simplify]: Simplify 1 into 1 23.647 * [taylor]: Taking taylor expansion of (* b PI) in a 23.647 * [taylor]: Taking taylor expansion of b in a 23.647 * [backup-simplify]: Simplify b into b 23.647 * [taylor]: Taking taylor expansion of PI in a 23.647 * [backup-simplify]: Simplify PI into PI 23.647 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 23.647 * [taylor]: Taking taylor expansion of (/ 1 b) in a 23.647 * [taylor]: Taking taylor expansion of b in a 23.648 * [backup-simplify]: Simplify b into b 23.648 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 23.648 * [taylor]: Taking taylor expansion of (/ 1 a) in a 23.648 * [taylor]: Taking taylor expansion of a in a 23.648 * [backup-simplify]: Simplify 0 into 0 23.648 * [backup-simplify]: Simplify 1 into 1 23.648 * [backup-simplify]: Simplify (/ 1 1) into 1 23.648 * [backup-simplify]: Simplify (* b PI) into (* PI b) 23.648 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 23.649 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 23.649 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 23.650 * [backup-simplify]: Simplify (+ 0 1) into 1 23.650 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 23.650 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a)))) in a 23.650 * [taylor]: Taking taylor expansion of -0.5 in a 23.650 * [backup-simplify]: Simplify -0.5 into -0.5 23.650 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 b) (/ 1 a))) in a 23.650 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 23.650 * [taylor]: Taking taylor expansion of a in a 23.650 * [backup-simplify]: Simplify 0 into 0 23.650 * [backup-simplify]: Simplify 1 into 1 23.650 * [taylor]: Taking taylor expansion of (* b PI) in a 23.650 * [taylor]: Taking taylor expansion of b in a 23.650 * [backup-simplify]: Simplify b into b 23.650 * [taylor]: Taking taylor expansion of PI in a 23.650 * [backup-simplify]: Simplify PI into PI 23.650 * [taylor]: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a 23.650 * [taylor]: Taking taylor expansion of (/ 1 b) in a 23.650 * [taylor]: Taking taylor expansion of b in a 23.650 * [backup-simplify]: Simplify b into b 23.650 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 23.650 * [taylor]: Taking taylor expansion of (/ 1 a) in a 23.650 * [taylor]: Taking taylor expansion of a in a 23.650 * [backup-simplify]: Simplify 0 into 0 23.650 * [backup-simplify]: Simplify 1 into 1 23.651 * [backup-simplify]: Simplify (/ 1 1) into 1 23.651 * [backup-simplify]: Simplify (* b PI) into (* PI b) 23.651 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 23.651 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 23.652 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 23.652 * [backup-simplify]: Simplify (+ 0 1) into 1 23.652 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 23.652 * [backup-simplify]: Simplify (* -0.5 (* b PI)) into (* -0.5 (* b PI)) 23.652 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 23.652 * [taylor]: Taking taylor expansion of -0.5 in b 23.652 * [backup-simplify]: Simplify -0.5 into -0.5 23.653 * [taylor]: Taking taylor expansion of (* b PI) in b 23.653 * [taylor]: Taking taylor expansion of b in b 23.653 * [backup-simplify]: Simplify 0 into 0 23.653 * [backup-simplify]: Simplify 1 into 1 23.653 * [taylor]: Taking taylor expansion of PI in b 23.653 * [backup-simplify]: Simplify PI into PI 23.654 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 23.663 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 23.663 * [backup-simplify]: Simplify (* 0 PI) into 0 23.664 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 23.664 * [backup-simplify]: Simplify 0 into 0 23.665 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 23.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* PI b)))) into 0 23.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 23.667 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 23.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ (/ 1 b) 1)))) into (- PI) 23.669 * [backup-simplify]: Simplify (+ (* -0.5 (- PI)) (* 0 (* b PI))) into (* 0.5 PI) 23.669 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 23.669 * [taylor]: Taking taylor expansion of 0.5 in b 23.669 * [backup-simplify]: Simplify 0.5 into 0.5 23.669 * [taylor]: Taking taylor expansion of PI in b 23.669 * [backup-simplify]: Simplify PI into PI 23.670 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 23.670 * [backup-simplify]: Simplify 0 into 0 23.671 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 23.672 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 23.673 * [backup-simplify]: Simplify 0 into 0 23.674 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* PI b))))) into 0 23.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 23.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.676 * [backup-simplify]: Simplify (+ 0 0) into 0 23.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* b PI) (/ 0 1)) (* (- PI) (/ (/ 1 b) 1)))) into (/ PI b) 23.678 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI b)) (+ (* 0 (- PI)) (* 0 (* b PI)))) into (- (* 0.5 (/ PI b))) 23.678 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 23.678 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 23.678 * [taylor]: Taking taylor expansion of 0.5 in b 23.678 * [backup-simplify]: Simplify 0.5 into 0.5 23.678 * [taylor]: Taking taylor expansion of (/ PI b) in b 23.679 * [taylor]: Taking taylor expansion of PI in b 23.679 * [backup-simplify]: Simplify PI into PI 23.679 * [taylor]: Taking taylor expansion of b in b 23.679 * [backup-simplify]: Simplify 0 into 0 23.679 * [backup-simplify]: Simplify 1 into 1 23.679 * [backup-simplify]: Simplify (/ PI 1) into PI 23.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 23.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 23.684 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.684 * [backup-simplify]: Simplify (- 0) into 0 23.684 * [backup-simplify]: Simplify 0 into 0 23.685 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 23.685 * [backup-simplify]: Simplify 0 into 0 23.687 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 23.688 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 23.688 * [backup-simplify]: Simplify 0 into 0 23.688 * [backup-simplify]: Simplify 0 into 0 23.688 * * * [progress]: simplifying candidates 23.691 * [simplify]: Simplifying: (- (log PI) (+ (log a) (log b))) (- (log PI) (log (* a b))) (log (/ PI (* a b))) (exp (/ PI (* a b))) (/ (* (* PI PI) PI) (* (* (* a a) a) (* (* b b) b))) (/ (* (* PI PI) PI) (* (* (* a b) (* a b)) (* a b))) (* (cbrt (/ PI (* a b))) (cbrt (/ PI (* a b)))) (cbrt (/ PI (* a b))) (* (* (/ PI (* a b)) (/ PI (* a b))) (/ PI (* a b))) (sqrt (/ PI (* a b))) (sqrt (/ PI (* a b))) (- PI) (- (* a b)) (/ (* (cbrt PI) (cbrt PI)) a) (/ (cbrt PI) b) (/ (sqrt PI) a) (/ (sqrt PI) b) (/ 1 a) (/ PI b) (/ 1 (* a b)) (/ (* a b) PI) (/ PI a) (/ (* a b) (cbrt PI)) (/ (* a b) (sqrt PI)) (/ (* a b) PI) (- (+ (log 0.5) (- (log PI) (+ (log a) (log b)))) (log (+ a b))) (- (+ (log 0.5) (- (log PI) (log (* a b)))) (log (+ a b))) (- (+ (log 0.5) (log (/ PI (* a b)))) (log (+ a b))) (- (log (* 0.5 (/ PI (* a b)))) (log (+ a b))) (log (/ (* 0.5 (/ PI (* a b))) (+ a b))) (exp (/ (* 0.5 (/ PI (* a b))) (+ a b))) (/ (* (* (* 0.5 0.5) 0.5) (/ (* (* PI PI) PI) (* (* (* a a) a) (* (* b b) b)))) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (* 0.5 0.5) 0.5) (/ (* (* PI PI) PI) (* (* (* a b) (* a b)) (* a b)))) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (* 0.5 0.5) 0.5) (* (* (/ PI (* a b)) (/ PI (* a b))) (/ PI (* a b)))) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (* 0.5 (/ PI (* a b))) (* 0.5 (/ PI (* a b)))) (* 0.5 (/ PI (* a b)))) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (* 0.5 (/ PI (* a b))) (+ a b))) (cbrt (/ (* 0.5 (/ PI (* a b))) (+ a b)))) (cbrt (/ (* 0.5 (/ PI (* a b))) (+ a b))) (* (* (/ (* 0.5 (/ PI (* a b))) (+ a b)) (/ (* 0.5 (/ PI (* a b))) (+ a b))) (/ (* 0.5 (/ PI (* a b))) (+ a b))) (sqrt (/ (* 0.5 (/ PI (* a b))) (+ a b))) (sqrt (/ (* 0.5 (/ PI (* a b))) (+ a b))) (- (* 0.5 (/ PI (* a b)))) (- (+ a b)) (/ 0.5 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (* a b)) (cbrt (+ a b))) (/ 0.5 (sqrt (+ a b))) (/ (/ PI (* a b)) (sqrt (+ a b))) (/ 0.5 1) (/ (/ PI (* a b)) (+ a b)) (/ 0.5 1) (/ (/ PI (* a b)) (+ a b)) (/ 1 (+ a b)) (/ (+ a b) (* 0.5 (/ PI (* a b)))) (/ (* 0.5 (/ PI (* a b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (* 0.5 (/ PI (* a b))) (sqrt (+ a b))) (/ (* 0.5 (/ PI (* a b))) 1) (/ (* 0.5 (/ PI (* a b))) 1) (/ (+ a b) (/ PI (* a b))) (/ (* 0.5 (/ PI (* a b))) (+ (pow a 3) (pow b 3))) (/ (* 0.5 (/ PI (* a b))) (- (* a a) (* b b))) (* (+ a b) (* a b)) (/ PI (* a b)) (/ PI (* a b)) (/ PI (* a b)) 0 0 0 23.693 * * [simplify]: iteration 0: 107 enodes 23.756 * * [simplify]: iteration 1: 294 enodes 24.026 * * [simplify]: iteration 2: 1224 enodes 25.035 * * [simplify]: iteration complete: 5002 enodes 25.035 * * [simplify]: Extracting #0: cost 44 inf + 0 25.038 * * [simplify]: Extracting #1: cost 766 inf + 2 25.050 * * [simplify]: Extracting #2: cost 1506 inf + 11449 25.106 * * [simplify]: Extracting #3: cost 1204 inf + 162824 25.229 * * [simplify]: Extracting #4: cost 172 inf + 401140 25.414 * * [simplify]: Extracting #5: cost 9 inf + 450252 25.577 * * [simplify]: Extracting #6: cost 0 inf + 452995 25.746 * [simplify]: Simplified to: (log (/ (/ PI a) b)) (log (/ (/ PI a) b)) (log (/ (/ PI a) b)) (exp (/ (/ PI a) b)) (* (/ (/ PI a) b) (* (/ (/ PI a) b) (/ (/ PI a) b))) (* (/ (/ PI a) b) (* (/ (/ PI a) b) (/ (/ PI a) b))) (* (cbrt (/ (/ PI a) b)) (cbrt (/ (/ PI a) b))) (cbrt (/ (/ PI a) b)) (* (/ (/ PI a) b) (* (/ (/ PI a) b) (/ (/ PI a) b))) (sqrt (/ (/ PI a) b)) (sqrt (/ (/ PI a) b)) (- PI) (- (* b a)) (/ (cbrt PI) (/ a (cbrt PI))) (/ (cbrt PI) b) (/ (sqrt PI) a) (/ (sqrt PI) b) (/ 1 a) (/ PI b) (/ 1 (* b a)) (* (/ a PI) b) (/ PI a) (/ a (/ (cbrt PI) b)) (/ (* b a) (sqrt PI)) (* (/ a PI) b) (log (/ 0.5 (* (/ (+ b a) PI) (* b a)))) (log (/ 0.5 (* (/ (+ b a) PI) (* b a)))) (log (/ 0.5 (* (/ (+ b a) PI) (* b a)))) (log (/ 0.5 (* (/ (+ b a) PI) (* b a)))) (log (/ 0.5 (* (/ (+ b a) PI) (* b a)))) (exp (/ 0.5 (* (/ (+ b a) PI) (* b a)))) (* (/ 0.5 (* (/ (+ b a) PI) (* b a))) (* (/ 0.5 (* (/ (+ b a) PI) (* b a))) (/ 0.5 (* (/ (+ b a) PI) (* b a))))) (* (/ 0.5 (* (/ (+ b a) PI) (* b a))) (* (/ 0.5 (* (/ (+ b a) PI) (* b a))) (/ 0.5 (* (/ (+ b a) PI) (* b a))))) (* (/ 0.5 (* (/ (+ b a) PI) (* b a))) (* (/ 0.5 (* (/ (+ b a) PI) (* b a))) (/ 0.5 (* (/ (+ b a) PI) (* b a))))) (* (/ 0.5 (* (/ (+ b a) PI) (* b a))) (* (/ 0.5 (* (/ (+ b a) PI) (* b a))) (/ 0.5 (* (/ (+ b a) PI) (* b a))))) (* (cbrt (/ 0.5 (* (/ (+ b a) PI) (* b a)))) (cbrt (/ 0.5 (* (/ (+ b a) PI) (* b a))))) (cbrt (/ 0.5 (* (/ (+ b a) PI) (* b a)))) (* (/ 0.5 (* (/ (+ b a) PI) (* b a))) (* (/ 0.5 (* (/ (+ b a) PI) (* b a))) (/ 0.5 (* (/ (+ b a) PI) (* b a))))) (sqrt (/ 0.5 (* (/ (+ b a) PI) (* b a)))) (sqrt (/ 0.5 (* (/ (+ b a) PI) (* b a)))) (* (- (/ 0.5 a)) (/ PI b)) (- (+ b a)) (/ (/ 0.5 (cbrt (+ b a))) (cbrt (+ b a))) (/ (/ (/ PI a) b) (cbrt (+ b a))) (/ 0.5 (sqrt (+ b a))) (/ (/ (/ PI a) b) (sqrt (+ b a))) 0.5 (/ (/ (/ PI a) b) (+ b a)) 0.5 (/ (/ (/ PI a) b) (+ b a)) (/ 1 (+ b a)) (/ (+ b a) (* 0.5 (/ (/ PI a) b))) (* (/ 0.5 (cbrt (+ b a))) (/ (/ (/ PI a) b) (cbrt (+ b a)))) (* (/ (/ PI a) b) (/ 0.5 (sqrt (+ b a)))) (* 0.5 (/ (/ PI a) b)) (* 0.5 (/ (/ PI a) b)) (* (/ (+ b a) PI) (* b a)) (/ (* 0.5 (/ (/ PI a) b)) (+ (* (* b b) b) (* a (* a a)))) (* (/ (/ 0.5 a) (+ b a)) (/ (/ PI b) (- a b))) (* a (* b (+ b a))) (/ (/ PI a) b) (/ (/ PI a) b) (/ (/ PI a) b) 0 0 0 25.751 * * * [progress]: adding candidates to table 26.080 * [progress]: [Phase 3 of 3] Extracting. 26.081 * * [regime]: Finding splitpoints for: (# # # # # # #) 26.146 * * * [regime-changes]: Trying 2 branch expressions: (b a) 26.147 * * * * [regimes]: Trying to branch on b from (# # # # # # #) 26.244 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 26.347 * * * [regime]: Found split indices: #