24.152 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.061 * [progress]: [Phase 2 of 3] Improving. 0.061 * [simplify]: Simplifying: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 0.062 * * [simplify]: iteration 0: 15 enodes 0.067 * * [simplify]: iteration 1: 30 enodes 0.080 * * [simplify]: iteration 2: 88 enodes 0.131 * * [simplify]: iteration 3: 363 enodes 0.445 * * [simplify]: iteration 4: 1543 enodes 2.077 * * [simplify]: iteration complete: 5001 enodes 2.077 * * [simplify]: Extracting #0: cost 1 inf + 0 2.079 * * [simplify]: Extracting #1: cost 195 inf + 0 2.084 * * [simplify]: Extracting #2: cost 812 inf + 170 2.101 * * [simplify]: Extracting #3: cost 846 inf + 31133 2.173 * * [simplify]: Extracting #4: cost 149 inf + 173645 2.252 * * [simplify]: Extracting #5: cost 0 inf + 208090 2.354 * [simplify]: Simplified to: (* 1.0 (/ (/ PI 2.0) (* (/ (+ a b) (- (/ 1.0 a) (/ 1.0 b))) (- b a)))) 2.356 * * [progress]: iteration 1 / 4 2.356 * * * [progress]: picking best candidate 2.364 * * * * [pick]: Picked # 2.364 * * * [progress]: localizing error 2.409 * * * [progress]: generating rewritten candidates 2.409 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.515 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.529 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.541 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.588 * * * [progress]: generating series expansions 2.588 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.589 * [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)))) 2.589 * [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 2.589 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in a 2.589 * [taylor]: Taking taylor expansion of 0.5 in a 2.589 * [backup-simplify]: Simplify 0.5 into 0.5 2.589 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in a 2.589 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 2.589 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 2.589 * [taylor]: Taking taylor expansion of 1.0 in a 2.589 * [backup-simplify]: Simplify 1.0 into 1.0 2.589 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.589 * [taylor]: Taking taylor expansion of a in a 2.589 * [backup-simplify]: Simplify 0 into 0 2.589 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (/ 1 1) into 1 2.589 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 2.589 * [taylor]: Taking taylor expansion of 1.0 in a 2.589 * [backup-simplify]: Simplify 1.0 into 1.0 2.589 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.589 * [taylor]: Taking taylor expansion of b in a 2.589 * [backup-simplify]: Simplify b into b 2.590 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.590 * [taylor]: Taking taylor expansion of PI in a 2.590 * [backup-simplify]: Simplify PI into PI 2.590 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.590 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.590 * [taylor]: Taking taylor expansion of b in a 2.590 * [backup-simplify]: Simplify b into b 2.590 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.590 * [taylor]: Taking taylor expansion of a in a 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.590 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.590 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.591 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 2.591 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.591 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.591 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 2.591 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.591 * [taylor]: Taking taylor expansion of 0.5 in b 2.591 * [backup-simplify]: Simplify 0.5 into 0.5 2.591 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.591 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.591 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.591 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.591 * [taylor]: Taking taylor expansion of 1.0 in b 2.591 * [backup-simplify]: Simplify 1.0 into 1.0 2.591 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.591 * [taylor]: Taking taylor expansion of a in b 2.591 * [backup-simplify]: Simplify a into a 2.591 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.592 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.592 * [taylor]: Taking taylor expansion of 1.0 in b 2.592 * [backup-simplify]: Simplify 1.0 into 1.0 2.592 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.592 * [taylor]: Taking taylor expansion of b in b 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [backup-simplify]: Simplify (/ 1 1) into 1 2.592 * [taylor]: Taking taylor expansion of PI in b 2.592 * [backup-simplify]: Simplify PI into PI 2.592 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.592 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.592 * [taylor]: Taking taylor expansion of b in b 2.592 * [backup-simplify]: Simplify 0 into 0 2.592 * [backup-simplify]: Simplify 1 into 1 2.592 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.592 * [taylor]: Taking taylor expansion of a in b 2.592 * [backup-simplify]: Simplify a into a 2.592 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.593 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.593 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.594 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 2.594 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.594 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.594 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.594 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 2.594 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.594 * [taylor]: Taking taylor expansion of 0.5 in b 2.594 * [backup-simplify]: Simplify 0.5 into 0.5 2.594 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.594 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.594 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.594 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.595 * [taylor]: Taking taylor expansion of 1.0 in b 2.595 * [backup-simplify]: Simplify 1.0 into 1.0 2.595 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.595 * [taylor]: Taking taylor expansion of a in b 2.595 * [backup-simplify]: Simplify a into a 2.595 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.595 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.595 * [taylor]: Taking taylor expansion of 1.0 in b 2.595 * [backup-simplify]: Simplify 1.0 into 1.0 2.595 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.595 * [taylor]: Taking taylor expansion of b in b 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 1 into 1 2.595 * [backup-simplify]: Simplify (/ 1 1) into 1 2.595 * [taylor]: Taking taylor expansion of PI in b 2.595 * [backup-simplify]: Simplify PI into PI 2.595 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.595 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.595 * [taylor]: Taking taylor expansion of b in b 2.595 * [backup-simplify]: Simplify 0 into 0 2.595 * [backup-simplify]: Simplify 1 into 1 2.595 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.595 * [taylor]: Taking taylor expansion of a in b 2.595 * [backup-simplify]: Simplify a into a 2.595 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.596 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.596 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.597 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 2.597 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.597 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.597 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.597 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 2.598 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 2.598 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.598 * [taylor]: Taking taylor expansion of 0.5 in a 2.598 * [backup-simplify]: Simplify 0.5 into 0.5 2.598 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.598 * [taylor]: Taking taylor expansion of PI in a 2.598 * [backup-simplify]: Simplify PI into PI 2.598 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.598 * [taylor]: Taking taylor expansion of a in a 2.598 * [backup-simplify]: Simplify 0 into 0 2.598 * [backup-simplify]: Simplify 1 into 1 2.598 * [backup-simplify]: Simplify (* 1 1) into 1 2.598 * [backup-simplify]: Simplify (/ PI 1) into PI 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.600 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.601 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.601 * [backup-simplify]: Simplify (- 0) into 0 2.601 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 2.602 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 2.602 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.602 * [backup-simplify]: Simplify (- 0) into 0 2.602 * [backup-simplify]: Simplify (+ 0 0) into 0 2.603 * [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)))) 2.603 * [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)))) 2.603 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 2.603 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 2.603 * [taylor]: Taking taylor expansion of 0.5 in a 2.603 * [backup-simplify]: Simplify 0.5 into 0.5 2.603 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 2.605 * [taylor]: Taking taylor expansion of PI in a 2.605 * [backup-simplify]: Simplify PI into PI 2.605 * [taylor]: Taking taylor expansion of (pow a 3) in a 2.605 * [taylor]: Taking taylor expansion of a in a 2.605 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify 1 into 1 2.606 * [backup-simplify]: Simplify (* 1 1) into 1 2.606 * [backup-simplify]: Simplify (* 1 1) into 1 2.606 * [backup-simplify]: Simplify (/ PI 1) into PI 2.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.610 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.610 * [backup-simplify]: Simplify (- 0) into 0 2.610 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.612 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.612 * [backup-simplify]: Simplify 0 into 0 2.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.613 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 2.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.615 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 2.615 * [backup-simplify]: Simplify (- 0) into 0 2.615 * [backup-simplify]: Simplify (+ 0 0) into 0 2.616 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 2.617 * [backup-simplify]: Simplify (* 1 1) into 1 2.617 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.618 * [backup-simplify]: Simplify (- 0) into 0 2.618 * [backup-simplify]: Simplify (+ 1 0) into 1 2.619 * [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))) 2.620 * [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))) 2.620 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.620 * [taylor]: Taking taylor expansion of 0.5 in a 2.620 * [backup-simplify]: Simplify 0.5 into 0.5 2.620 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.620 * [taylor]: Taking taylor expansion of PI in a 2.620 * [backup-simplify]: Simplify PI into PI 2.620 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.620 * [taylor]: Taking taylor expansion of a in a 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 1 into 1 2.620 * [backup-simplify]: Simplify (* 1 1) into 1 2.621 * [backup-simplify]: Simplify (* 1 1) into 1 2.621 * [backup-simplify]: Simplify (/ PI 1) into PI 2.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.630 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.630 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.635 * [backup-simplify]: Simplify (- 0) into 0 2.635 * [backup-simplify]: Simplify 0 into 0 2.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.639 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.640 * [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))))) 2.640 * [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 2.640 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.640 * [taylor]: Taking taylor expansion of 0.5 in a 2.640 * [backup-simplify]: Simplify 0.5 into 0.5 2.640 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.640 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 2.640 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 2.640 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.640 * [taylor]: Taking taylor expansion of 1.0 in a 2.640 * [backup-simplify]: Simplify 1.0 into 1.0 2.640 * [taylor]: Taking taylor expansion of a in a 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify 1 into 1 2.640 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.640 * [taylor]: Taking taylor expansion of 1.0 in a 2.640 * [backup-simplify]: Simplify 1.0 into 1.0 2.640 * [taylor]: Taking taylor expansion of b in a 2.640 * [backup-simplify]: Simplify b into b 2.640 * [taylor]: Taking taylor expansion of PI in a 2.640 * [backup-simplify]: Simplify PI into PI 2.640 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.640 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.640 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.641 * [taylor]: Taking taylor expansion of b in a 2.641 * [backup-simplify]: Simplify b into b 2.641 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.641 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.641 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.641 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.641 * [taylor]: Taking taylor expansion of a in a 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify 1 into 1 2.641 * [backup-simplify]: Simplify (* 1 1) into 1 2.642 * [backup-simplify]: Simplify (/ 1 1) into 1 2.642 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.642 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 2.642 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 2.642 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 2.642 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 2.643 * [backup-simplify]: Simplify (- 1) into -1 2.643 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.643 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 2.643 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.643 * [taylor]: Taking taylor expansion of 0.5 in b 2.643 * [backup-simplify]: Simplify 0.5 into 0.5 2.643 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.643 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.643 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.644 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.644 * [taylor]: Taking taylor expansion of 1.0 in b 2.644 * [backup-simplify]: Simplify 1.0 into 1.0 2.644 * [taylor]: Taking taylor expansion of a in b 2.644 * [backup-simplify]: Simplify a into a 2.644 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.644 * [taylor]: Taking taylor expansion of 1.0 in b 2.644 * [backup-simplify]: Simplify 1.0 into 1.0 2.644 * [taylor]: Taking taylor expansion of b in b 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [taylor]: Taking taylor expansion of PI in b 2.644 * [backup-simplify]: Simplify PI into PI 2.644 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.644 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.644 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.644 * [taylor]: Taking taylor expansion of b in b 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.644 * [backup-simplify]: Simplify (* 1 1) into 1 2.645 * [backup-simplify]: Simplify (/ 1 1) into 1 2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.645 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.645 * [taylor]: Taking taylor expansion of a in b 2.645 * [backup-simplify]: Simplify a into a 2.645 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.645 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.645 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.646 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.646 * [backup-simplify]: Simplify (- 0) into 0 2.646 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 2.646 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 2.646 * [backup-simplify]: Simplify (+ 1 0) into 1 2.647 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 2.647 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.647 * [taylor]: Taking taylor expansion of 0.5 in b 2.647 * [backup-simplify]: Simplify 0.5 into 0.5 2.647 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.647 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.647 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.647 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.647 * [taylor]: Taking taylor expansion of 1.0 in b 2.647 * [backup-simplify]: Simplify 1.0 into 1.0 2.647 * [taylor]: Taking taylor expansion of a in b 2.647 * [backup-simplify]: Simplify a into a 2.647 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.647 * [taylor]: Taking taylor expansion of 1.0 in b 2.647 * [backup-simplify]: Simplify 1.0 into 1.0 2.647 * [taylor]: Taking taylor expansion of b in b 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.647 * [taylor]: Taking taylor expansion of PI in b 2.647 * [backup-simplify]: Simplify PI into PI 2.647 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.647 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.647 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.647 * [taylor]: Taking taylor expansion of b in b 2.647 * [backup-simplify]: Simplify 0 into 0 2.647 * [backup-simplify]: Simplify 1 into 1 2.648 * [backup-simplify]: Simplify (* 1 1) into 1 2.648 * [backup-simplify]: Simplify (/ 1 1) into 1 2.648 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.648 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.648 * [taylor]: Taking taylor expansion of a in b 2.648 * [backup-simplify]: Simplify a into a 2.648 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.648 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.648 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.649 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.649 * [backup-simplify]: Simplify (- 0) into 0 2.649 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 2.649 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 2.650 * [backup-simplify]: Simplify (+ 1 0) into 1 2.650 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 2.650 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 2.650 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 2.650 * [taylor]: Taking taylor expansion of 0.5 in a 2.650 * [backup-simplify]: Simplify 0.5 into 0.5 2.650 * [taylor]: Taking taylor expansion of (* a PI) in a 2.650 * [taylor]: Taking taylor expansion of a in a 2.650 * [backup-simplify]: Simplify 0 into 0 2.650 * [backup-simplify]: Simplify 1 into 1 2.650 * [taylor]: Taking taylor expansion of PI in a 2.650 * [backup-simplify]: Simplify PI into PI 2.651 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.653 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.653 * [backup-simplify]: Simplify (* 0 PI) into 0 2.654 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 2.654 * [backup-simplify]: Simplify 0 into 0 2.655 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 2.656 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.656 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.657 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.658 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 2.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.659 * [backup-simplify]: Simplify (+ 0 0) into 0 2.660 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 2.661 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 2.661 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 2.661 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.661 * [taylor]: Taking taylor expansion of 0.5 in a 2.661 * [backup-simplify]: Simplify 0.5 into 0.5 2.661 * [taylor]: Taking taylor expansion of PI in a 2.661 * [backup-simplify]: Simplify PI into PI 2.662 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.662 * [backup-simplify]: Simplify (- 0) into 0 2.662 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.664 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.664 * [backup-simplify]: Simplify 0 into 0 2.664 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 2.665 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.665 * [backup-simplify]: Simplify (- 0) into 0 2.665 * [backup-simplify]: Simplify (+ 0 0) into 0 2.666 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 2.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.667 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.667 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 2.669 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 2.669 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.669 * [taylor]: Taking taylor expansion of 0.5 in a 2.669 * [backup-simplify]: Simplify 0.5 into 0.5 2.669 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.669 * [taylor]: Taking taylor expansion of PI in a 2.669 * [backup-simplify]: Simplify PI into PI 2.669 * [taylor]: Taking taylor expansion of a in a 2.669 * [backup-simplify]: Simplify 0 into 0 2.669 * [backup-simplify]: Simplify 1 into 1 2.669 * [backup-simplify]: Simplify (/ PI 1) into PI 2.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.673 * [backup-simplify]: Simplify (- 0) into 0 2.673 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.674 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 0 into 0 2.675 * [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 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 2.675 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.675 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.675 * [taylor]: Taking taylor expansion of 0.5 in a 2.675 * [backup-simplify]: Simplify 0.5 into 0.5 2.675 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.675 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 2.675 * [taylor]: Taking taylor expansion of PI in a 2.675 * [backup-simplify]: Simplify PI into PI 2.675 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 2.675 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.675 * [taylor]: Taking taylor expansion of 1.0 in a 2.675 * [backup-simplify]: Simplify 1.0 into 1.0 2.675 * [taylor]: Taking taylor expansion of b in a 2.675 * [backup-simplify]: Simplify b into b 2.675 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.675 * [taylor]: Taking taylor expansion of 1.0 in a 2.675 * [backup-simplify]: Simplify 1.0 into 1.0 2.675 * [taylor]: Taking taylor expansion of a in a 2.675 * [backup-simplify]: Simplify 0 into 0 2.675 * [backup-simplify]: Simplify 1 into 1 2.675 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.675 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.675 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.675 * [taylor]: Taking taylor expansion of b in a 2.676 * [backup-simplify]: Simplify b into b 2.676 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.676 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.676 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.676 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.676 * [taylor]: Taking taylor expansion of a in a 2.676 * [backup-simplify]: Simplify 0 into 0 2.676 * [backup-simplify]: Simplify 1 into 1 2.676 * [backup-simplify]: Simplify (* 1 1) into 1 2.676 * [backup-simplify]: Simplify (/ 1 1) into 1 2.676 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 2.677 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.677 * [backup-simplify]: Simplify (- 0) into 0 2.677 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 2.677 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 2.677 * [backup-simplify]: Simplify (- 1) into -1 2.677 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.677 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) -1) into (* -1.0 (* PI b)) 2.677 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.678 * [taylor]: Taking taylor expansion of 0.5 in b 2.678 * [backup-simplify]: Simplify 0.5 into 0.5 2.678 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.678 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 2.678 * [taylor]: Taking taylor expansion of PI in b 2.678 * [backup-simplify]: Simplify PI into PI 2.678 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.678 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.678 * [taylor]: Taking taylor expansion of 1.0 in b 2.678 * [backup-simplify]: Simplify 1.0 into 1.0 2.678 * [taylor]: Taking taylor expansion of b in b 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.678 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.678 * [taylor]: Taking taylor expansion of 1.0 in b 2.678 * [backup-simplify]: Simplify 1.0 into 1.0 2.678 * [taylor]: Taking taylor expansion of a in b 2.678 * [backup-simplify]: Simplify a into a 2.678 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.678 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.678 * [taylor]: Taking taylor expansion of b in b 2.678 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify 1 into 1 2.678 * [backup-simplify]: Simplify (* 1 1) into 1 2.678 * [backup-simplify]: Simplify (/ 1 1) into 1 2.678 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.678 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.678 * [taylor]: Taking taylor expansion of a in b 2.678 * [backup-simplify]: Simplify a into a 2.678 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.679 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.679 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.679 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.679 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 2.679 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 2.679 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 2.679 * [backup-simplify]: Simplify (+ 1 0) into 1 2.679 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 2.679 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.679 * [taylor]: Taking taylor expansion of 0.5 in b 2.680 * [backup-simplify]: Simplify 0.5 into 0.5 2.680 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.680 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 2.680 * [taylor]: Taking taylor expansion of PI in b 2.680 * [backup-simplify]: Simplify PI into PI 2.680 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.680 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.680 * [taylor]: Taking taylor expansion of 1.0 in b 2.680 * [backup-simplify]: Simplify 1.0 into 1.0 2.680 * [taylor]: Taking taylor expansion of b in b 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.680 * [taylor]: Taking taylor expansion of 1.0 in b 2.680 * [backup-simplify]: Simplify 1.0 into 1.0 2.680 * [taylor]: Taking taylor expansion of a in b 2.680 * [backup-simplify]: Simplify a into a 2.680 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.680 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.680 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.680 * [taylor]: Taking taylor expansion of b in b 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 1 into 1 2.680 * [backup-simplify]: Simplify (* 1 1) into 1 2.680 * [backup-simplify]: Simplify (/ 1 1) into 1 2.680 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.680 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.680 * [taylor]: Taking taylor expansion of a in b 2.680 * [backup-simplify]: Simplify a into a 2.680 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.681 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.681 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.681 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.681 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 2.681 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 2.681 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 2.682 * [backup-simplify]: Simplify (+ 1 0) into 1 2.682 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 2.682 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (* a PI))) into (* -0.5 (* a PI)) 2.682 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 2.682 * [taylor]: Taking taylor expansion of -0.5 in a 2.682 * [backup-simplify]: Simplify -0.5 into -0.5 2.682 * [taylor]: Taking taylor expansion of (* a PI) in a 2.682 * [taylor]: Taking taylor expansion of a in a 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 1 into 1 2.682 * [taylor]: Taking taylor expansion of PI in a 2.682 * [backup-simplify]: Simplify PI into PI 2.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.683 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.684 * [backup-simplify]: Simplify (* 0 PI) into 0 2.684 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 2.684 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.686 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 2.686 * [backup-simplify]: Simplify (- 0) into 0 2.686 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.686 * [backup-simplify]: Simplify (+ (* PI 1.0) (* 0 (- (* 1.0 a)))) into (* 1.0 PI) 2.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.687 * [backup-simplify]: Simplify (+ 0 0) into 0 2.689 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)))) into (* 1.0 PI) 2.690 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 PI)) (* 0 (* -1.0 (* a PI)))) into (* 0.5 PI) 2.690 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.690 * [taylor]: Taking taylor expansion of 0.5 in a 2.690 * [backup-simplify]: Simplify 0.5 into 0.5 2.690 * [taylor]: Taking taylor expansion of PI in a 2.690 * [backup-simplify]: Simplify PI into PI 2.691 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.691 * [backup-simplify]: Simplify 0 into 0 2.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.694 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.694 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.696 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 2.696 * [backup-simplify]: Simplify (- 0) into 0 2.697 * [backup-simplify]: Simplify (+ 0 0) into 0 2.698 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1.0) (* 0 (- (* 1.0 a))))) into 0 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.700 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (* 1.0 PI) (/ 0 1)))) into (- (* 1.0 (/ PI a))) 2.703 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI a)))) (+ (* 0 (* 1.0 PI)) (* 0 (* -1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 2.703 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 2.703 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.703 * [taylor]: Taking taylor expansion of 0.5 in a 2.703 * [backup-simplify]: Simplify 0.5 into 0.5 2.703 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.703 * [taylor]: Taking taylor expansion of PI in a 2.703 * [backup-simplify]: Simplify PI into PI 2.703 * [taylor]: Taking taylor expansion of a in a 2.703 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.704 * [backup-simplify]: Simplify (/ PI 1) into PI 2.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.708 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.708 * [backup-simplify]: Simplify (- 0) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.713 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.713 * [backup-simplify]: Simplify (- (* b b) (* a a)) into (- (pow b 2) (pow a 2)) 2.713 * [approximate]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in (b a) around 0 2.713 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.713 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.713 * [taylor]: Taking taylor expansion of b in a 2.713 * [backup-simplify]: Simplify b into b 2.713 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.713 * [taylor]: Taking taylor expansion of a in a 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.714 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.714 * [taylor]: Taking taylor expansion of b in b 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.714 * [taylor]: Taking taylor expansion of a in b 2.714 * [backup-simplify]: Simplify a into a 2.714 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.714 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.714 * [taylor]: Taking taylor expansion of b in b 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 1 into 1 2.714 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.714 * [taylor]: Taking taylor expansion of a in b 2.714 * [backup-simplify]: Simplify a into a 2.714 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.714 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.715 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.715 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 2.715 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.715 * [taylor]: Taking taylor expansion of a in a 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.715 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.715 * [backup-simplify]: Simplify (- 0) into 0 2.716 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [taylor]: Taking taylor expansion of 0 in a 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify (* 1 1) into 1 2.717 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.717 * [backup-simplify]: Simplify (- 0) into 0 2.718 * [backup-simplify]: Simplify (+ 1 0) into 1 2.718 * [taylor]: Taking taylor expansion of 1 in a 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify (* 1 1) into 1 2.719 * [backup-simplify]: Simplify (- 1) into -1 2.719 * [backup-simplify]: Simplify -1 into -1 2.719 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.720 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 2.721 * [backup-simplify]: Simplify (- 0) into 0 2.721 * [backup-simplify]: Simplify (+ 0 0) into 0 2.721 * [taylor]: Taking taylor expansion of 0 in a 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.722 * [backup-simplify]: Simplify (- 0) into 0 2.722 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.724 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 2.724 * [backup-simplify]: Simplify (- 0) into 0 2.725 * [backup-simplify]: Simplify (+ 0 0) into 0 2.725 * [taylor]: Taking taylor expansion of 0 in a 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (+ (* -1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) 2.725 * [backup-simplify]: Simplify (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.726 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.726 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.726 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.726 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.726 * [taylor]: Taking taylor expansion of b in a 2.726 * [backup-simplify]: Simplify b into b 2.726 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.726 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.726 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.726 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.726 * [taylor]: Taking taylor expansion of a in a 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (* 1 1) into 1 2.730 * [backup-simplify]: Simplify (/ 1 1) into 1 2.730 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.730 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.730 * [taylor]: Taking taylor expansion of b in b 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (* 1 1) into 1 2.731 * [backup-simplify]: Simplify (/ 1 1) into 1 2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.731 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.731 * [taylor]: Taking taylor expansion of a in b 2.731 * [backup-simplify]: Simplify a into a 2.731 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.731 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.731 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.731 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.731 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.731 * [taylor]: Taking taylor expansion of b in b 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (* 1 1) into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.732 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.732 * [taylor]: Taking taylor expansion of a in b 2.732 * [backup-simplify]: Simplify a into a 2.732 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.732 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.733 * [backup-simplify]: Simplify (+ 1 0) into 1 2.733 * [taylor]: Taking taylor expansion of 1 in a 2.733 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [taylor]: Taking taylor expansion of 0 in a 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.736 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.736 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.736 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.737 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.737 * [taylor]: Taking taylor expansion of a in a 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (* 1 1) into 1 2.737 * [backup-simplify]: Simplify (/ 1 1) into 1 2.737 * [backup-simplify]: Simplify (- 1) into -1 2.737 * [backup-simplify]: Simplify -1 into -1 2.737 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.739 * [backup-simplify]: Simplify (- 0) into 0 2.739 * [backup-simplify]: Simplify (+ 0 0) into 0 2.739 * [taylor]: Taking taylor expansion of 0 in a 2.739 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (- 0) into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.743 * [backup-simplify]: Simplify (- 0) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.743 * [taylor]: Taking taylor expansion of 0 in a 2.743 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.744 * [backup-simplify]: Simplify (- 0) into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) 2.745 * [backup-simplify]: Simplify (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.745 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.745 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.745 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.745 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.745 * [taylor]: Taking taylor expansion of b in a 2.745 * [backup-simplify]: Simplify b into b 2.745 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.745 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.745 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.745 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.745 * [taylor]: Taking taylor expansion of a in a 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (* 1 1) into 1 2.746 * [backup-simplify]: Simplify (/ 1 1) into 1 2.746 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.746 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.746 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.746 * [taylor]: Taking taylor expansion of b in b 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (* 1 1) into 1 2.747 * [backup-simplify]: Simplify (/ 1 1) into 1 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.747 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.747 * [taylor]: Taking taylor expansion of a in b 2.747 * [backup-simplify]: Simplify a into a 2.747 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.747 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.747 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.747 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.747 * [taylor]: Taking taylor expansion of b in b 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.747 * [backup-simplify]: Simplify (* 1 1) into 1 2.748 * [backup-simplify]: Simplify (/ 1 1) into 1 2.748 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.748 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.748 * [taylor]: Taking taylor expansion of a in b 2.748 * [backup-simplify]: Simplify a into a 2.748 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.748 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.748 * [backup-simplify]: Simplify (+ 1 0) into 1 2.748 * [taylor]: Taking taylor expansion of 1 in a 2.748 * [backup-simplify]: Simplify 1 into 1 2.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [taylor]: Taking taylor expansion of 0 in a 2.749 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.751 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.751 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.751 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.751 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.751 * [taylor]: Taking taylor expansion of a in a 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [backup-simplify]: Simplify (* 1 1) into 1 2.751 * [backup-simplify]: Simplify (/ 1 1) into 1 2.751 * [backup-simplify]: Simplify (- 1) into -1 2.751 * [backup-simplify]: Simplify -1 into -1 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.753 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.753 * [backup-simplify]: Simplify (- 0) into 0 2.753 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [taylor]: Taking taylor expansion of 0 in a 2.753 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.755 * [backup-simplify]: Simplify (- 0) into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.756 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.757 * [backup-simplify]: Simplify (- 0) into 0 2.757 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [taylor]: Taking taylor expansion of 0 in a 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.758 * [backup-simplify]: Simplify (- 0) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) 2.759 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.759 * [backup-simplify]: Simplify (/ 1.0 (- (* b b) (* a a))) into (/ 1.0 (- (pow b 2) (pow a 2))) 2.759 * [approximate]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in (b a) around 0 2.759 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in a 2.759 * [taylor]: Taking taylor expansion of 1.0 in a 2.759 * [backup-simplify]: Simplify 1.0 into 1.0 2.759 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.759 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.759 * [taylor]: Taking taylor expansion of b in a 2.759 * [backup-simplify]: Simplify b into b 2.759 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.759 * [taylor]: Taking taylor expansion of a in a 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.759 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.759 * [backup-simplify]: Simplify (/ 1.0 (pow b 2)) into (/ 1.0 (pow b 2)) 2.759 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.759 * [taylor]: Taking taylor expansion of 1.0 in b 2.759 * [backup-simplify]: Simplify 1.0 into 1.0 2.759 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.759 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.759 * [taylor]: Taking taylor expansion of b in b 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.759 * [taylor]: Taking taylor expansion of a in b 2.759 * [backup-simplify]: Simplify a into a 2.760 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.760 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.760 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.760 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 2.760 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.760 * [taylor]: Taking taylor expansion of 1.0 in b 2.760 * [backup-simplify]: Simplify 1.0 into 1.0 2.760 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.760 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.760 * [taylor]: Taking taylor expansion of b in b 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.760 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.760 * [taylor]: Taking taylor expansion of a in b 2.760 * [backup-simplify]: Simplify a into a 2.760 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.760 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.760 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.760 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 2.760 * [taylor]: Taking taylor expansion of (/ -1.0 (pow a 2)) in a 2.760 * [taylor]: Taking taylor expansion of -1.0 in a 2.760 * [backup-simplify]: Simplify -1.0 into -1.0 2.760 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.760 * [taylor]: Taking taylor expansion of a in a 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (* 1 1) into 1 2.761 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.763 * [backup-simplify]: Simplify 0 into 0 2.763 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.763 * [backup-simplify]: Simplify (- 0) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 0 (- (pow a 2)))))) into 0 2.764 * [taylor]: Taking taylor expansion of 0 in a 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify (* 1 1) into 1 2.766 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.766 * [backup-simplify]: Simplify (- 0) into 0 2.766 * [backup-simplify]: Simplify (+ 1 0) into 1 2.767 * [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)))) 2.767 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 4)))) in a 2.767 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 4))) in a 2.767 * [taylor]: Taking taylor expansion of 1.0 in a 2.767 * [backup-simplify]: Simplify 1.0 into 1.0 2.767 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 2.767 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.767 * [taylor]: Taking taylor expansion of a in a 2.767 * [backup-simplify]: Simplify 0 into 0 2.767 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (* 1 1) into 1 2.767 * [backup-simplify]: Simplify (/ 1 1) into 1 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.775 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.775 * [backup-simplify]: Simplify (- 0) into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 0 into 0 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 2.778 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.778 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.778 * [taylor]: Taking taylor expansion of 1.0 in a 2.778 * [backup-simplify]: Simplify 1.0 into 1.0 2.778 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.778 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.778 * [taylor]: Taking taylor expansion of b in a 2.778 * [backup-simplify]: Simplify b into b 2.778 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.778 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.778 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.778 * [taylor]: Taking taylor expansion of a in a 2.778 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (* 1 1) into 1 2.779 * [backup-simplify]: Simplify (/ 1 1) into 1 2.779 * [backup-simplify]: Simplify (- 1) into -1 2.780 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.780 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 2.780 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.780 * [taylor]: Taking taylor expansion of 1.0 in b 2.780 * [backup-simplify]: Simplify 1.0 into 1.0 2.780 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.780 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.780 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.780 * [taylor]: Taking taylor expansion of b in b 2.780 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (* 1 1) into 1 2.781 * [backup-simplify]: Simplify (/ 1 1) into 1 2.781 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.781 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.781 * [taylor]: Taking taylor expansion of a in b 2.781 * [backup-simplify]: Simplify a into a 2.782 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.782 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.782 * [backup-simplify]: Simplify (+ 1 0) into 1 2.783 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.783 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.783 * [taylor]: Taking taylor expansion of 1.0 in b 2.783 * [backup-simplify]: Simplify 1.0 into 1.0 2.783 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.783 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.783 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.783 * [taylor]: Taking taylor expansion of b in b 2.783 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify 1 into 1 2.783 * [backup-simplify]: Simplify (* 1 1) into 1 2.784 * [backup-simplify]: Simplify (/ 1 1) into 1 2.784 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.784 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.784 * [taylor]: Taking taylor expansion of a in b 2.784 * [backup-simplify]: Simplify a into a 2.784 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.784 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.784 * [backup-simplify]: Simplify (+ 1 0) into 1 2.785 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.785 * [taylor]: Taking taylor expansion of 1.0 in a 2.785 * [backup-simplify]: Simplify 1.0 into 1.0 2.785 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (+ 0 0) into 0 2.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 2.787 * [taylor]: Taking taylor expansion of 0 in a 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.790 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 2.791 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 2.791 * [taylor]: Taking taylor expansion of 1.0 in a 2.791 * [backup-simplify]: Simplify 1.0 into 1.0 2.791 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.791 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.791 * [taylor]: Taking taylor expansion of a in a 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (* 1 1) into 1 2.792 * [backup-simplify]: Simplify (/ 1 1) into 1 2.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.801 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 2.801 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.801 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.801 * [taylor]: Taking taylor expansion of 1.0 in a 2.801 * [backup-simplify]: Simplify 1.0 into 1.0 2.801 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.801 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.801 * [taylor]: Taking taylor expansion of b in a 2.801 * [backup-simplify]: Simplify b into b 2.801 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.802 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.802 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.802 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.802 * [taylor]: Taking taylor expansion of a in a 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (* 1 1) into 1 2.802 * [backup-simplify]: Simplify (/ 1 1) into 1 2.803 * [backup-simplify]: Simplify (- 1) into -1 2.803 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.804 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 2.804 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.804 * [taylor]: Taking taylor expansion of 1.0 in b 2.804 * [backup-simplify]: Simplify 1.0 into 1.0 2.804 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.804 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.804 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.804 * [taylor]: Taking taylor expansion of b in b 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (* 1 1) into 1 2.805 * [backup-simplify]: Simplify (/ 1 1) into 1 2.805 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.805 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.805 * [taylor]: Taking taylor expansion of a in b 2.805 * [backup-simplify]: Simplify a into a 2.805 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.805 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.805 * [backup-simplify]: Simplify (+ 1 0) into 1 2.806 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.806 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.806 * [taylor]: Taking taylor expansion of 1.0 in b 2.806 * [backup-simplify]: Simplify 1.0 into 1.0 2.806 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.806 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.806 * [taylor]: Taking taylor expansion of b in b 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.806 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.807 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.807 * [taylor]: Taking taylor expansion of a in b 2.807 * [backup-simplify]: Simplify a into a 2.807 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.807 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.808 * [backup-simplify]: Simplify (+ 1 0) into 1 2.808 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.808 * [taylor]: Taking taylor expansion of 1.0 in a 2.808 * [backup-simplify]: Simplify 1.0 into 1.0 2.808 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.810 * [backup-simplify]: Simplify (+ 0 0) into 0 2.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 2.811 * [taylor]: Taking taylor expansion of 0 in a 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.813 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 2.814 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 2.814 * [taylor]: Taking taylor expansion of 1.0 in a 2.814 * [backup-simplify]: Simplify 1.0 into 1.0 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.814 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.814 * [taylor]: Taking taylor expansion of a in a 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (* 1 1) into 1 2.815 * [backup-simplify]: Simplify (/ 1 1) into 1 2.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.824 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) into (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) 2.824 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in (b a) around 0 2.824 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in a 2.825 * [taylor]: Taking taylor expansion of 0.5 in a 2.825 * [backup-simplify]: Simplify 0.5 into 0.5 2.825 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in a 2.825 * [taylor]: Taking taylor expansion of PI in a 2.825 * [backup-simplify]: Simplify PI into PI 2.825 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.825 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.825 * [taylor]: Taking taylor expansion of b in a 2.825 * [backup-simplify]: Simplify b into b 2.825 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.825 * [taylor]: Taking taylor expansion of a in a 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.825 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.825 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.825 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 2.825 * [taylor]: Taking taylor expansion of 0.5 in b 2.825 * [backup-simplify]: Simplify 0.5 into 0.5 2.825 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 2.825 * [taylor]: Taking taylor expansion of PI in b 2.825 * [backup-simplify]: Simplify PI into PI 2.825 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.825 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.825 * [taylor]: Taking taylor expansion of b in b 2.825 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.826 * [taylor]: Taking taylor expansion of a in b 2.826 * [backup-simplify]: Simplify a into a 2.826 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.826 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.826 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.826 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 2.826 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 2.826 * [taylor]: Taking taylor expansion of 0.5 in b 2.826 * [backup-simplify]: Simplify 0.5 into 0.5 2.826 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 2.826 * [taylor]: Taking taylor expansion of PI in b 2.826 * [backup-simplify]: Simplify PI into PI 2.826 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.826 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.826 * [taylor]: Taking taylor expansion of b in b 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.826 * [taylor]: Taking taylor expansion of a in b 2.827 * [backup-simplify]: Simplify a into a 2.827 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.827 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.827 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.827 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 2.827 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI (pow a 2)))) into (* -0.5 (/ PI (pow a 2))) 2.827 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 2.827 * [taylor]: Taking taylor expansion of -0.5 in a 2.827 * [backup-simplify]: Simplify -0.5 into -0.5 2.827 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.827 * [taylor]: Taking taylor expansion of PI in a 2.827 * [backup-simplify]: Simplify PI into PI 2.827 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.828 * [taylor]: Taking taylor expansion of a in a 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (* 1 1) into 1 2.829 * [backup-simplify]: Simplify (/ PI 1) into PI 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.834 * [backup-simplify]: Simplify (- 0) into 0 2.834 * [backup-simplify]: Simplify (+ 0 0) into 0 2.835 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (/ PI (pow a 2))))) into 0 2.835 * [taylor]: Taking taylor expansion of 0 in a 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.837 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify (* 1 1) into 1 2.838 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.838 * [backup-simplify]: Simplify (- 0) into 0 2.839 * [backup-simplify]: Simplify (+ 1 0) into 1 2.839 * [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))) 2.839 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 4)))) (+ (* 0 0) (* 0 (* -1 (/ PI (pow a 2)))))) into (- (* 0.5 (/ PI (pow a 4)))) 2.840 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 4)))) in a 2.840 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.840 * [taylor]: Taking taylor expansion of 0.5 in a 2.840 * [backup-simplify]: Simplify 0.5 into 0.5 2.840 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.840 * [taylor]: Taking taylor expansion of PI in a 2.840 * [backup-simplify]: Simplify PI into PI 2.840 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.840 * [taylor]: Taking taylor expansion of a in a 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (* 1 1) into 1 2.840 * [backup-simplify]: Simplify (* 1 1) into 1 2.840 * [backup-simplify]: Simplify (/ PI 1) into PI 2.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.851 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.851 * [backup-simplify]: Simplify (- 0) into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (* (/ 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))))) 2.854 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.854 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.854 * [taylor]: Taking taylor expansion of 0.5 in a 2.854 * [backup-simplify]: Simplify 0.5 into 0.5 2.854 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.854 * [taylor]: Taking taylor expansion of PI in a 2.854 * [backup-simplify]: Simplify PI into PI 2.854 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.854 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.854 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.854 * [taylor]: Taking taylor expansion of b in a 2.854 * [backup-simplify]: Simplify b into b 2.854 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.854 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.854 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.854 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.854 * [taylor]: Taking taylor expansion of a in a 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (* 1 1) into 1 2.854 * [backup-simplify]: Simplify (/ 1 1) into 1 2.855 * [backup-simplify]: Simplify (- 1) into -1 2.855 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.855 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.855 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.855 * [taylor]: Taking taylor expansion of 0.5 in b 2.855 * [backup-simplify]: Simplify 0.5 into 0.5 2.855 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.855 * [taylor]: Taking taylor expansion of PI in b 2.855 * [backup-simplify]: Simplify PI into PI 2.855 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.855 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.855 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.855 * [taylor]: Taking taylor expansion of b in b 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify 1 into 1 2.856 * [backup-simplify]: Simplify (* 1 1) into 1 2.856 * [backup-simplify]: Simplify (/ 1 1) into 1 2.856 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.856 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.856 * [taylor]: Taking taylor expansion of a in b 2.856 * [backup-simplify]: Simplify a into a 2.856 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.856 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.856 * [backup-simplify]: Simplify (+ 1 0) into 1 2.857 * [backup-simplify]: Simplify (/ PI 1) into PI 2.857 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.857 * [taylor]: Taking taylor expansion of 0.5 in b 2.857 * [backup-simplify]: Simplify 0.5 into 0.5 2.857 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.857 * [taylor]: Taking taylor expansion of PI in b 2.857 * [backup-simplify]: Simplify PI into PI 2.857 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.857 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.857 * [taylor]: Taking taylor expansion of b in b 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (* 1 1) into 1 2.857 * [backup-simplify]: Simplify (/ 1 1) into 1 2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.858 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.858 * [taylor]: Taking taylor expansion of a in b 2.858 * [backup-simplify]: Simplify a into a 2.858 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.858 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.858 * [backup-simplify]: Simplify (+ 1 0) into 1 2.858 * [backup-simplify]: Simplify (/ PI 1) into PI 2.859 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 2.859 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.859 * [taylor]: Taking taylor expansion of 0.5 in a 2.859 * [backup-simplify]: Simplify 0.5 into 0.5 2.859 * [taylor]: Taking taylor expansion of PI in a 2.859 * [backup-simplify]: Simplify PI into PI 2.859 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (+ 0 0) into 0 2.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.861 * [taylor]: Taking taylor expansion of 0 in a 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.862 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.864 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 2.865 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 2.865 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.865 * [taylor]: Taking taylor expansion of 0.5 in a 2.865 * [backup-simplify]: Simplify 0.5 into 0.5 2.865 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.865 * [taylor]: Taking taylor expansion of PI in a 2.865 * [backup-simplify]: Simplify PI into PI 2.866 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.866 * [taylor]: Taking taylor expansion of a in a 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.866 * [backup-simplify]: Simplify (* 1 1) into 1 2.866 * [backup-simplify]: Simplify (/ PI 1) into PI 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.876 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [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))))) 2.878 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.878 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.878 * [taylor]: Taking taylor expansion of 0.5 in a 2.878 * [backup-simplify]: Simplify 0.5 into 0.5 2.878 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.878 * [taylor]: Taking taylor expansion of PI in a 2.878 * [backup-simplify]: Simplify PI into PI 2.878 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.878 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.878 * [taylor]: Taking taylor expansion of b in a 2.878 * [backup-simplify]: Simplify b into b 2.878 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.878 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.878 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.878 * [taylor]: Taking taylor expansion of a in a 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (* 1 1) into 1 2.879 * [backup-simplify]: Simplify (/ 1 1) into 1 2.879 * [backup-simplify]: Simplify (- 1) into -1 2.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.880 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.880 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.880 * [taylor]: Taking taylor expansion of 0.5 in b 2.880 * [backup-simplify]: Simplify 0.5 into 0.5 2.880 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.880 * [taylor]: Taking taylor expansion of PI in b 2.880 * [backup-simplify]: Simplify PI into PI 2.880 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.880 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.880 * [taylor]: Taking taylor expansion of b in b 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 1 into 1 2.880 * [backup-simplify]: Simplify (* 1 1) into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.880 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.880 * [taylor]: Taking taylor expansion of a in b 2.881 * [backup-simplify]: Simplify a into a 2.881 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.881 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.881 * [backup-simplify]: Simplify (+ 1 0) into 1 2.881 * [backup-simplify]: Simplify (/ PI 1) into PI 2.881 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.881 * [taylor]: Taking taylor expansion of 0.5 in b 2.881 * [backup-simplify]: Simplify 0.5 into 0.5 2.881 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.881 * [taylor]: Taking taylor expansion of PI in b 2.881 * [backup-simplify]: Simplify PI into PI 2.881 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.881 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.881 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.881 * [taylor]: Taking taylor expansion of b in b 2.881 * [backup-simplify]: Simplify 0 into 0 2.881 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (* 1 1) into 1 2.882 * [backup-simplify]: Simplify (/ 1 1) into 1 2.882 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.882 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.882 * [taylor]: Taking taylor expansion of a in b 2.882 * [backup-simplify]: Simplify a into a 2.882 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.882 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.882 * [backup-simplify]: Simplify (+ 1 0) into 1 2.883 * [backup-simplify]: Simplify (/ PI 1) into PI 2.883 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 2.883 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.883 * [taylor]: Taking taylor expansion of 0.5 in a 2.883 * [backup-simplify]: Simplify 0.5 into 0.5 2.883 * [taylor]: Taking taylor expansion of PI in a 2.883 * [backup-simplify]: Simplify PI into PI 2.884 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.886 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.886 * [taylor]: Taking taylor expansion of 0 in a 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.888 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 2.889 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 2.889 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.889 * [taylor]: Taking taylor expansion of 0.5 in a 2.889 * [backup-simplify]: Simplify 0.5 into 0.5 2.889 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.889 * [taylor]: Taking taylor expansion of PI in a 2.889 * [backup-simplify]: Simplify PI into PI 2.889 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.889 * [taylor]: Taking taylor expansion of a in a 2.889 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (* 1 1) into 1 2.890 * [backup-simplify]: Simplify (/ PI 1) into PI 2.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * * * [progress]: simplifying candidates 2.899 * [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 2.902 * * [simplify]: iteration 0: 258 enodes 2.992 * * [simplify]: iteration 1: 853 enodes 3.489 * * [simplify]: iteration 2: 3712 enodes 4.473 * * [simplify]: iteration complete: 5005 enodes 4.473 * * [simplify]: Extracting #0: cost 143 inf + 0 4.478 * * [simplify]: Extracting #1: cost 1355 inf + 44 4.492 * * [simplify]: Extracting #2: cost 1903 inf + 18922 4.564 * * [simplify]: Extracting #3: cost 768 inf + 308894 4.706 * * [simplify]: Extracting #4: cost 106 inf + 495644 4.855 * * [simplify]: Extracting #5: cost 8 inf + 515602 5.002 * * [simplify]: Extracting #6: cost 0 inf + 518540 5.173 * * [simplify]: Extracting #7: cost 0 inf + 518420 5.346 * [simplify]: Simplified to: (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (log (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0))) (log (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0))) (log (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0))) (log (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0))) (log (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0))) (log (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0))) (exp (* (- (/ 1.0 a) (/ 1.0 b)) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0))) (* (* (* (- (/ 1.0 a) (/ 1.0 b)) (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) (/ PI 2.0)) (/ 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(* (- (* 1.0 b) (* 1.0 a)) 1.0) (/ PI 2.0)) (* (* a (- (* b b) (* a a))) b) (* (/ PI 2.0) (* 1.0 (- (* (/ 1.0 a) (* (/ 1.0 a) (/ 1.0 a))) (* (/ 1.0 b) (* (/ 1.0 b) (/ 1.0 b)))))) (* (+ a b) (* (- b a) (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a)))))) (/ (* (* (* 1.0 PI) (+ (/ 1.0 b) (/ 1.0 a))) (- (/ 1.0 a) (/ 1.0 b))) 2.0) (* (+ (/ 1.0 b) (/ 1.0 a)) (- (* b b) (* a a))) (* (- (* 1.0 b) (* 1.0 a)) (/ (* 1.0 PI) (- (* b b) (* a a)))) (* (* a b) 2.0) (* (/ (- (* (/ 1.0 a) (* (/ 1.0 a) (/ 1.0 a))) (* (/ 1.0 b) (* (/ 1.0 b) (/ 1.0 b)))) (+ a b)) (/ (* 1.0 PI) (- b a))) (* (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a)))) 2.0) (* PI (* (* (+ (/ 1.0 b) (/ 1.0 a)) (- (/ 1.0 a) (/ 1.0 b))) (/ 1.0 (- (* b b) (* a a))))) (* 2.0 (+ (/ 1.0 b) (/ 1.0 a))) (/ (* (/ (* 1.0 PI) (- (* b b) (* a a))) (/ 1.0 a)) 2.0) (/ (* (- (/ 1.0 b)) (/ (* 1.0 PI) (- (* b b) (* a a)))) 2.0) (/ (* (/ (* 1.0 PI) (- (* b b) (* a a))) (/ 1.0 a)) 2.0) (/ (* (- (/ 1.0 b)) (/ (* 1.0 PI) (- (* b b) (* a a)))) 2.0) (/ (* (/ (* 1.0 PI) (- (* b b) (* a a))) (/ 1.0 a)) 2.0) (/ (* (- (/ 1.0 b)) (/ (* 1.0 PI) (- (* b b) (* a a)))) 2.0) (/ (* (/ (* 1.0 PI) (- (* b b) (* a a))) (/ 1.0 a)) 2.0) (/ (* (- (/ 1.0 b)) (/ (* 1.0 PI) (- (* b b) (* a a)))) 2.0) (* (/ PI 2.0) (* (* (/ 1.0 (- (* b b) (* a a))) (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) (* (+ (sqrt (/ 1.0 b)) (sqrt (/ 1.0 a))) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (* (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0)) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (+ (sqrt (/ 1.0 b)) (/ (sqrt 1.0) (sqrt a)))) (+ (/ (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (sqrt 1.0)) (sqrt b)) (/ (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (sqrt 1.0)) (sqrt a))) (* (/ (/ (* 1.0 PI) (- (* b b) (* a a))) 2.0) (* (cbrt 1.0) (cbrt 1.0))) (/ (* (sqrt 1.0) (/ (* 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) (/ (* 1.0 (/ (* 1.0 PI) (- (* b b) (* a a)))) 2.0) (* (/ 1.0 (+ a b)) (/ (- (/ 1.0 a) (/ 1.0 b)) (- b a))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (* 1.0 b) (* 1.0 a))) (* (/ PI 2.0) (* (/ 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 PI) (- (* b b) (* a a))) 2.0) (* (+ (/ 1.0 b) (/ 1.0 a)) (- (/ 1.0 a) (/ 1.0 b)))) (* (* 1.0 PI) (- (/ 1.0 a) (/ 1.0 b))) (/ (* (- (/ 1.0 a) (/ 1.0 b)) (* 1.0 PI)) 2.0) (* (* (- (/ 1.0 a) (/ 1.0 b)) (/ 1.0 (- (* b b) (* a a)))) PI) (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)))) (+ (* (* b b) (* b b)) (* (* a a) (+ (* a a) (* 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) (* (- (+ a b)) (- b 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) (- (* b b) (* a 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) (- (* b b) (* a 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 (+ a b)) (- b 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))) (* (/ (/ (* 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))) (* (* (/ 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))) (* (/ (/ (* 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))) (* (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)) (* (/ (/ (* 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 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 (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (sqrt (/ PI 2.0))) (* (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (sqrt (/ PI 2.0))) (/ (* (sqrt PI) (sqrt (/ 1.0 (- (* b b) (* a a))))) (sqrt 2.0)) (/ (* (sqrt PI) (sqrt (/ 1.0 (- (* b b) (* a a))))) (sqrt 2.0)) (* (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (/ (sqrt PI) (sqrt 2.0))) (* (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (/ (sqrt PI) (sqrt 2.0))) (* (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a))))) (/ PI 2.0)) (* (/ 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)))) (/ (* (* (cbrt 1.0) (cbrt 1.0)) (/ PI 2.0)) (sqrt (- (* b b) (* a a)))) (/ PI (/ 2.0 (* (cbrt 1.0) (cbrt 1.0)))) (/ (/ PI (/ 2.0 (* (cbrt 1.0) (cbrt 1.0)))) (+ a b)) (* (/ (/ PI 2.0) (cbrt (- (* b b) (* a a)))) (/ (sqrt 1.0) (cbrt (- (* b b) (* a a))))) (* (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (/ PI 2.0)) (/ (* PI (sqrt 1.0)) 2.0) (/ (/ (* PI (sqrt 1.0)) 2.0) (+ a b)) (/ (/ PI 2.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (/ PI (sqrt (- (* b b) (* a a)))) 2.0) (/ PI 2.0) (/ (/ PI (+ a b)) 2.0) (/ PI 2.0) (* 1.0 (/ PI 2.0)) (/ (/ (* PI 1.0) (- (* (* b b) (* (* b b) (* b b))) (* (* a (* a a)) (* a (* a a))))) 2.0) (* (/ 1.0 (+ (* a a) (* b b))) (/ (/ PI 2.0) (- (* b b) (* a a)))) (* (/ (cbrt (/ PI 2.0)) (+ a b)) (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (/ (sqrt (/ PI 2.0)) (+ a b))) (/ (* (/ 1.0 (- (* b b) (* a a))) (cbrt PI)) (cbrt 2.0)) (* (/ 1.0 (+ a b)) (/ (/ (cbrt PI) (sqrt 2.0)) (- b a))) (* (/ (/ (cbrt PI) 2.0) (- b a)) (/ 1.0 (+ a b))) (* (/ 1.0 (- (* b b) (* a a))) (/ (sqrt PI) (cbrt 2.0))) (/ (* 1.0 (/ (sqrt PI) (sqrt 2.0))) (- (* b b) (* a a))) (/ (/ (* (sqrt PI) 1.0) 2.0) (- (* b b) (* a a))) (/ (/ PI (cbrt 2.0)) (/ (- (* b b) (* a a)) 1.0)) (/ (/ (* 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) (* 1.0 (/ PI 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 5.372 * * * [progress]: adding candidates to table 6.286 * * [progress]: iteration 2 / 4 6.286 * * * [progress]: picking best candidate 6.329 * * * * [pick]: Picked # 6.329 * * * [progress]: localizing error 6.353 * * * [progress]: generating rewritten candidates 6.353 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.506 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 6.518 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.590 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 6.615 * * * [progress]: generating series expansions 6.616 * * * * [progress]: [ 1 / 4 ] generating series at (2) 6.616 * [backup-simplify]: Simplify (* (* (/ (/ PI (+ a b)) 2.0) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) 6.616 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in (a b) around 0 6.616 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in b 6.616 * [taylor]: Taking taylor expansion of 0.5 in b 6.616 * [backup-simplify]: Simplify 0.5 into 0.5 6.616 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a))) in b 6.616 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 6.616 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 6.616 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 6.616 * [taylor]: Taking taylor expansion of 1.0 in b 6.616 * [backup-simplify]: Simplify 1.0 into 1.0 6.616 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.616 * [taylor]: Taking taylor expansion of a in b 6.616 * [backup-simplify]: Simplify a into a 6.616 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.616 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 6.616 * [taylor]: Taking taylor expansion of 1.0 in b 6.617 * [backup-simplify]: Simplify 1.0 into 1.0 6.617 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.617 * [taylor]: Taking taylor expansion of b in b 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify 1 into 1 6.617 * [backup-simplify]: Simplify (/ 1 1) into 1 6.617 * [taylor]: Taking taylor expansion of PI in b 6.617 * [backup-simplify]: Simplify PI into PI 6.617 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 6.617 * [taylor]: Taking taylor expansion of (+ a b) in b 6.617 * [taylor]: Taking taylor expansion of a in b 6.617 * [backup-simplify]: Simplify a into a 6.617 * [taylor]: Taking taylor expansion of b in b 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify 1 into 1 6.617 * [taylor]: Taking taylor expansion of (- b a) in b 6.617 * [taylor]: Taking taylor expansion of b in b 6.617 * [backup-simplify]: Simplify 0 into 0 6.617 * [backup-simplify]: Simplify 1 into 1 6.617 * [taylor]: Taking taylor expansion of a in b 6.617 * [backup-simplify]: Simplify a into a 6.618 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.618 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.619 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.619 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 6.619 * [backup-simplify]: Simplify (+ a 0) into a 6.619 * [backup-simplify]: Simplify (- a) into (- a) 6.619 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 6.619 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 6.620 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 6.620 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in a 6.620 * [taylor]: Taking taylor expansion of 0.5 in a 6.620 * [backup-simplify]: Simplify 0.5 into 0.5 6.620 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a))) in a 6.620 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 6.620 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 6.620 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 6.620 * [taylor]: Taking taylor expansion of 1.0 in a 6.620 * [backup-simplify]: Simplify 1.0 into 1.0 6.620 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.620 * [taylor]: Taking taylor expansion of a in a 6.620 * [backup-simplify]: Simplify 0 into 0 6.620 * [backup-simplify]: Simplify 1 into 1 6.620 * [backup-simplify]: Simplify (/ 1 1) into 1 6.620 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 6.620 * [taylor]: Taking taylor expansion of 1.0 in a 6.620 * [backup-simplify]: Simplify 1.0 into 1.0 6.620 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.620 * [taylor]: Taking taylor expansion of b in a 6.620 * [backup-simplify]: Simplify b into b 6.620 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.621 * [taylor]: Taking taylor expansion of PI in a 6.621 * [backup-simplify]: Simplify PI into PI 6.621 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 6.621 * [taylor]: Taking taylor expansion of (+ a b) in a 6.621 * [taylor]: Taking taylor expansion of a in a 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 1 into 1 6.621 * [taylor]: Taking taylor expansion of b in a 6.621 * [backup-simplify]: Simplify b into b 6.621 * [taylor]: Taking taylor expansion of (- b a) in a 6.621 * [taylor]: Taking taylor expansion of b in a 6.621 * [backup-simplify]: Simplify b into b 6.621 * [taylor]: Taking taylor expansion of a in a 6.621 * [backup-simplify]: Simplify 0 into 0 6.621 * [backup-simplify]: Simplify 1 into 1 6.621 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.621 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.622 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 6.622 * [backup-simplify]: Simplify (+ 0 b) into b 6.622 * [backup-simplify]: Simplify (- 0) into 0 6.622 * [backup-simplify]: Simplify (+ b 0) into b 6.622 * [backup-simplify]: Simplify (* b b) into (pow b 2) 6.622 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 6.622 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in a 6.622 * [taylor]: Taking taylor expansion of 0.5 in a 6.622 * [backup-simplify]: Simplify 0.5 into 0.5 6.622 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a))) in a 6.622 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 6.622 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 6.622 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 6.623 * [taylor]: Taking taylor expansion of 1.0 in a 6.623 * [backup-simplify]: Simplify 1.0 into 1.0 6.623 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.623 * [taylor]: Taking taylor expansion of a in a 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 1 into 1 6.623 * [backup-simplify]: Simplify (/ 1 1) into 1 6.623 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 6.623 * [taylor]: Taking taylor expansion of 1.0 in a 6.623 * [backup-simplify]: Simplify 1.0 into 1.0 6.623 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.623 * [taylor]: Taking taylor expansion of b in a 6.623 * [backup-simplify]: Simplify b into b 6.623 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.623 * [taylor]: Taking taylor expansion of PI in a 6.623 * [backup-simplify]: Simplify PI into PI 6.623 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 6.623 * [taylor]: Taking taylor expansion of (+ a b) in a 6.623 * [taylor]: Taking taylor expansion of a in a 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 1 into 1 6.623 * [taylor]: Taking taylor expansion of b in a 6.623 * [backup-simplify]: Simplify b into b 6.623 * [taylor]: Taking taylor expansion of (- b a) in a 6.623 * [taylor]: Taking taylor expansion of b in a 6.623 * [backup-simplify]: Simplify b into b 6.623 * [taylor]: Taking taylor expansion of a in a 6.623 * [backup-simplify]: Simplify 0 into 0 6.623 * [backup-simplify]: Simplify 1 into 1 6.623 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 6.624 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.624 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 6.624 * [backup-simplify]: Simplify (+ 0 b) into b 6.627 * [backup-simplify]: Simplify (- 0) into 0 6.627 * [backup-simplify]: Simplify (+ b 0) into b 6.627 * [backup-simplify]: Simplify (* b b) into (pow b 2) 6.628 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 6.628 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow b 2)))) into (* 0.5 (/ PI (pow b 2))) 6.628 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 6.628 * [taylor]: Taking taylor expansion of 0.5 in b 6.628 * [backup-simplify]: Simplify 0.5 into 0.5 6.628 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.628 * [taylor]: Taking taylor expansion of PI in b 6.628 * [backup-simplify]: Simplify PI into PI 6.628 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.628 * [taylor]: Taking taylor expansion of b in b 6.628 * [backup-simplify]: Simplify 0 into 0 6.628 * [backup-simplify]: Simplify 1 into 1 6.628 * [backup-simplify]: Simplify (* 1 1) into 1 6.629 * [backup-simplify]: Simplify (/ PI 1) into PI 6.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.630 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 6.630 * [backup-simplify]: Simplify 0 into 0 6.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.631 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 6.631 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 6.631 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 6.631 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 6.632 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 6.632 * [backup-simplify]: Simplify (- 1) into -1 6.632 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.632 * [backup-simplify]: Simplify (+ 1 0) into 1 6.632 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 6.633 * [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)))) 6.633 * [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)))) 6.633 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 3)))) in b 6.633 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 6.633 * [taylor]: Taking taylor expansion of 0.5 in b 6.633 * [backup-simplify]: Simplify 0.5 into 0.5 6.633 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 6.633 * [taylor]: Taking taylor expansion of PI in b 6.633 * [backup-simplify]: Simplify PI into PI 6.633 * [taylor]: Taking taylor expansion of (pow b 3) in b 6.633 * [taylor]: Taking taylor expansion of b in b 6.633 * [backup-simplify]: Simplify 0 into 0 6.633 * [backup-simplify]: Simplify 1 into 1 6.633 * [backup-simplify]: Simplify (* 1 1) into 1 6.634 * [backup-simplify]: Simplify (* 1 1) into 1 6.634 * [backup-simplify]: Simplify (/ PI 1) into PI 6.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.639 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 6.639 * [backup-simplify]: Simplify (- 0) into 0 6.639 * [backup-simplify]: Simplify 0 into 0 6.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.642 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 6.642 * [backup-simplify]: Simplify 0 into 0 6.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.644 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 6.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.645 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 6.645 * [backup-simplify]: Simplify (- 0) into 0 6.646 * [backup-simplify]: Simplify (+ 0 0) into 0 6.647 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 6.647 * [backup-simplify]: Simplify (- 0) into 0 6.648 * [backup-simplify]: Simplify (+ 0 0) into 0 6.648 * [backup-simplify]: Simplify (+ 0 0) into 0 6.648 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 6.649 * [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))) 6.650 * [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))) 6.650 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 6.650 * [taylor]: Taking taylor expansion of 0.5 in b 6.650 * [backup-simplify]: Simplify 0.5 into 0.5 6.650 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 6.650 * [taylor]: Taking taylor expansion of PI in b 6.650 * [backup-simplify]: Simplify PI into PI 6.650 * [taylor]: Taking taylor expansion of (pow b 4) in b 6.650 * [taylor]: Taking taylor expansion of b in b 6.650 * [backup-simplify]: Simplify 0 into 0 6.650 * [backup-simplify]: Simplify 1 into 1 6.650 * [backup-simplify]: Simplify (* 1 1) into 1 6.650 * [backup-simplify]: Simplify (* 1 1) into 1 6.651 * [backup-simplify]: Simplify (/ PI 1) into PI 6.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.656 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.656 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.659 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.659 * [backup-simplify]: Simplify (- 0) into 0 6.659 * [backup-simplify]: Simplify 0 into 0 6.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.661 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify (* (* (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2.0) (/ 1.0 (- (/ 1 b) (/ 1 a)))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 6.661 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 6.661 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 6.661 * [taylor]: Taking taylor expansion of 0.5 in b 6.661 * [backup-simplify]: Simplify 0.5 into 0.5 6.661 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 6.661 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 a) (* 1.0 b))) in b 6.661 * [taylor]: Taking taylor expansion of PI in b 6.661 * [backup-simplify]: Simplify PI into PI 6.661 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 6.661 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 6.661 * [taylor]: Taking taylor expansion of 1.0 in b 6.661 * [backup-simplify]: Simplify 1.0 into 1.0 6.661 * [taylor]: Taking taylor expansion of a in b 6.661 * [backup-simplify]: Simplify a into a 6.661 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 6.661 * [taylor]: Taking taylor expansion of 1.0 in b 6.661 * [backup-simplify]: Simplify 1.0 into 1.0 6.661 * [taylor]: Taking taylor expansion of b in b 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 6.661 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.662 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.662 * [taylor]: Taking taylor expansion of a in b 6.662 * [backup-simplify]: Simplify a into a 6.662 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.662 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.662 * [taylor]: Taking taylor expansion of b in b 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [backup-simplify]: Simplify (/ 1 1) into 1 6.662 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 6.662 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.662 * [taylor]: Taking taylor expansion of b in b 6.662 * [backup-simplify]: Simplify 0 into 0 6.662 * [backup-simplify]: Simplify 1 into 1 6.662 * [backup-simplify]: Simplify (/ 1 1) into 1 6.662 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.662 * [taylor]: Taking taylor expansion of a in b 6.662 * [backup-simplify]: Simplify a into a 6.662 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.662 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 6.663 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.663 * [backup-simplify]: Simplify (- 0) into 0 6.663 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 6.663 * [backup-simplify]: Simplify (* PI (* 1.0 a)) into (* 1.0 (* a PI)) 6.663 * [backup-simplify]: Simplify (+ 0 1) into 1 6.663 * [backup-simplify]: Simplify (+ 1 0) into 1 6.664 * [backup-simplify]: Simplify (* 1 1) into 1 6.664 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 6.664 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 6.664 * [taylor]: Taking taylor expansion of 0.5 in a 6.664 * [backup-simplify]: Simplify 0.5 into 0.5 6.664 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 6.664 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 a) (* 1.0 b))) in a 6.664 * [taylor]: Taking taylor expansion of PI in a 6.664 * [backup-simplify]: Simplify PI into PI 6.664 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 6.664 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 6.664 * [taylor]: Taking taylor expansion of 1.0 in a 6.664 * [backup-simplify]: Simplify 1.0 into 1.0 6.664 * [taylor]: Taking taylor expansion of a in a 6.664 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify 1 into 1 6.664 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 6.664 * [taylor]: Taking taylor expansion of 1.0 in a 6.664 * [backup-simplify]: Simplify 1.0 into 1.0 6.664 * [taylor]: Taking taylor expansion of b in a 6.664 * [backup-simplify]: Simplify b into b 6.664 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 6.664 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.664 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.664 * [taylor]: Taking taylor expansion of a in a 6.664 * [backup-simplify]: Simplify 0 into 0 6.664 * [backup-simplify]: Simplify 1 into 1 6.664 * [backup-simplify]: Simplify (/ 1 1) into 1 6.664 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.665 * [taylor]: Taking taylor expansion of b in a 6.665 * [backup-simplify]: Simplify b into b 6.665 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.665 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.665 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.665 * [taylor]: Taking taylor expansion of b in a 6.665 * [backup-simplify]: Simplify b into b 6.665 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.665 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.665 * [taylor]: Taking taylor expansion of a in a 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify 1 into 1 6.665 * [backup-simplify]: Simplify (/ 1 1) into 1 6.665 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.665 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 6.665 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 6.665 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 6.665 * [backup-simplify]: Simplify (* PI (- (* 1.0 b))) into (* -1.0 (* b PI)) 6.666 * [backup-simplify]: Simplify (+ 1 0) into 1 6.666 * [backup-simplify]: Simplify (- 1) into -1 6.666 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.667 * [backup-simplify]: Simplify (* 1 -1) into -1 6.667 * [backup-simplify]: Simplify (/ (* -1.0 (* b PI)) -1) into (* 1.0 (* PI b)) 6.667 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 6.667 * [taylor]: Taking taylor expansion of 0.5 in a 6.667 * [backup-simplify]: Simplify 0.5 into 0.5 6.667 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 6.667 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 a) (* 1.0 b))) in a 6.667 * [taylor]: Taking taylor expansion of PI in a 6.667 * [backup-simplify]: Simplify PI into PI 6.667 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 6.667 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 6.667 * [taylor]: Taking taylor expansion of 1.0 in a 6.667 * [backup-simplify]: Simplify 1.0 into 1.0 6.667 * [taylor]: Taking taylor expansion of a in a 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify 1 into 1 6.667 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 6.667 * [taylor]: Taking taylor expansion of 1.0 in a 6.667 * [backup-simplify]: Simplify 1.0 into 1.0 6.667 * [taylor]: Taking taylor expansion of b in a 6.667 * [backup-simplify]: Simplify b into b 6.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 6.667 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.667 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.667 * [taylor]: Taking taylor expansion of a in a 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify 1 into 1 6.667 * [backup-simplify]: Simplify (/ 1 1) into 1 6.667 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.668 * [taylor]: Taking taylor expansion of b in a 6.668 * [backup-simplify]: Simplify b into b 6.668 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.668 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.668 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.668 * [taylor]: Taking taylor expansion of b in a 6.668 * [backup-simplify]: Simplify b into b 6.668 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.668 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.668 * [taylor]: Taking taylor expansion of a in a 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify 1 into 1 6.668 * [backup-simplify]: Simplify (/ 1 1) into 1 6.668 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.668 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 6.668 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 6.668 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 6.668 * [backup-simplify]: Simplify (* PI (- (* 1.0 b))) into (* -1.0 (* b PI)) 6.669 * [backup-simplify]: Simplify (+ 1 0) into 1 6.669 * [backup-simplify]: Simplify (- 1) into -1 6.669 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.670 * [backup-simplify]: Simplify (* 1 -1) into -1 6.670 * [backup-simplify]: Simplify (/ (* -1.0 (* b PI)) -1) into (* 1.0 (* PI b)) 6.670 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* PI b))) into (* 0.5 (* b PI)) 6.670 * [taylor]: Taking taylor expansion of (* 0.5 (* b PI)) in b 6.670 * [taylor]: Taking taylor expansion of 0.5 in b 6.670 * [backup-simplify]: Simplify 0.5 into 0.5 6.670 * [taylor]: Taking taylor expansion of (* b PI) in b 6.670 * [taylor]: Taking taylor expansion of b in b 6.670 * [backup-simplify]: Simplify 0 into 0 6.670 * [backup-simplify]: Simplify 1 into 1 6.670 * [taylor]: Taking taylor expansion of PI in b 6.670 * [backup-simplify]: Simplify PI into PI 6.670 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.671 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.672 * [backup-simplify]: Simplify (* 0 PI) into 0 6.672 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 6.672 * [backup-simplify]: Simplify 0 into 0 6.673 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.673 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 6.674 * [backup-simplify]: Simplify (- 0) into 0 6.674 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 6.674 * [backup-simplify]: Simplify (+ (* PI 1.0) (* 0 (- (* 1.0 b)))) into (* 1.0 PI) 6.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (- 0) into 0 6.675 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 6.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.676 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.676 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 6.677 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* PI b)) (/ 0 -1)))) into (- (* 1.0 PI)) 6.679 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (- (* 0.5 PI)) 6.679 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in b 6.679 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 6.679 * [taylor]: Taking taylor expansion of 0.5 in b 6.679 * [backup-simplify]: Simplify 0.5 into 0.5 6.679 * [taylor]: Taking taylor expansion of PI in b 6.679 * [backup-simplify]: Simplify PI into PI 6.680 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 6.681 * [backup-simplify]: Simplify (- 0) into 0 6.681 * [backup-simplify]: Simplify 0 into 0 6.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.683 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.685 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 6.685 * [backup-simplify]: Simplify (- 0) into 0 6.686 * [backup-simplify]: Simplify (+ 0 0) into 0 6.687 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1.0) (* 0 (- (* 1.0 b))))) into 0 6.687 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.688 * [backup-simplify]: Simplify (- 0) into 0 6.688 * [backup-simplify]: Simplify (+ 0 0) into 0 6.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.690 * [backup-simplify]: Simplify (+ 0 0) into 0 6.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 6.693 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* PI b)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI b)) 6.694 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (* 0.5 (/ PI b)) 6.694 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 6.694 * [taylor]: Taking taylor expansion of 0.5 in b 6.694 * [backup-simplify]: Simplify 0.5 into 0.5 6.694 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.694 * [taylor]: Taking taylor expansion of PI in b 6.694 * [backup-simplify]: Simplify PI into PI 6.694 * [taylor]: Taking taylor expansion of b in b 6.694 * [backup-simplify]: Simplify 0 into 0 6.694 * [backup-simplify]: Simplify 1 into 1 6.695 * [backup-simplify]: Simplify (/ PI 1) into PI 6.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.699 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.699 * [backup-simplify]: Simplify 0 into 0 6.700 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.701 * [backup-simplify]: Simplify (- 0) into 0 6.701 * [backup-simplify]: Simplify 0 into 0 6.702 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.704 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify (* (* (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2.0) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 6.704 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 6.704 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 6.704 * [taylor]: Taking taylor expansion of -0.5 in b 6.704 * [backup-simplify]: Simplify -0.5 into -0.5 6.705 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 6.705 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 6.705 * [taylor]: Taking taylor expansion of PI in b 6.705 * [backup-simplify]: Simplify PI into PI 6.705 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 6.705 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 6.705 * [taylor]: Taking taylor expansion of 1.0 in b 6.705 * [backup-simplify]: Simplify 1.0 into 1.0 6.705 * [taylor]: Taking taylor expansion of b in b 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify 1 into 1 6.705 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 6.705 * [taylor]: Taking taylor expansion of 1.0 in b 6.705 * [backup-simplify]: Simplify 1.0 into 1.0 6.705 * [taylor]: Taking taylor expansion of a in b 6.705 * [backup-simplify]: Simplify a into a 6.705 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 6.705 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.705 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.705 * [taylor]: Taking taylor expansion of a in b 6.705 * [backup-simplify]: Simplify a into a 6.705 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.705 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.705 * [taylor]: Taking taylor expansion of b in b 6.705 * [backup-simplify]: Simplify 0 into 0 6.705 * [backup-simplify]: Simplify 1 into 1 6.706 * [backup-simplify]: Simplify (/ 1 1) into 1 6.706 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 6.706 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.706 * [taylor]: Taking taylor expansion of a in b 6.706 * [backup-simplify]: Simplify a into a 6.706 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.706 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.706 * [taylor]: Taking taylor expansion of b in b 6.706 * [backup-simplify]: Simplify 0 into 0 6.706 * [backup-simplify]: Simplify 1 into 1 6.706 * [backup-simplify]: Simplify (/ 1 1) into 1 6.707 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.707 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 6.707 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 6.707 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 6.707 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 6.708 * [backup-simplify]: Simplify (+ 0 1) into 1 6.708 * [backup-simplify]: Simplify (- 1) into -1 6.708 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.709 * [backup-simplify]: Simplify (* 1 -1) into -1 6.709 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 6.709 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 6.709 * [taylor]: Taking taylor expansion of -0.5 in a 6.709 * [backup-simplify]: Simplify -0.5 into -0.5 6.709 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 6.709 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 6.709 * [taylor]: Taking taylor expansion of PI in a 6.709 * [backup-simplify]: Simplify PI into PI 6.709 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 6.709 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 6.709 * [taylor]: Taking taylor expansion of 1.0 in a 6.709 * [backup-simplify]: Simplify 1.0 into 1.0 6.709 * [taylor]: Taking taylor expansion of b in a 6.709 * [backup-simplify]: Simplify b into b 6.709 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 6.709 * [taylor]: Taking taylor expansion of 1.0 in a 6.709 * [backup-simplify]: Simplify 1.0 into 1.0 6.709 * [taylor]: Taking taylor expansion of a in a 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 1 into 1 6.709 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 6.709 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.710 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.710 * [taylor]: Taking taylor expansion of a in a 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify 1 into 1 6.710 * [backup-simplify]: Simplify (/ 1 1) into 1 6.710 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.710 * [taylor]: Taking taylor expansion of b in a 6.710 * [backup-simplify]: Simplify b into b 6.710 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.710 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.710 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.710 * [taylor]: Taking taylor expansion of a in a 6.710 * [backup-simplify]: Simplify 0 into 0 6.710 * [backup-simplify]: Simplify 1 into 1 6.711 * [backup-simplify]: Simplify (/ 1 1) into 1 6.711 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.711 * [taylor]: Taking taylor expansion of b in a 6.711 * [backup-simplify]: Simplify b into b 6.711 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.711 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 6.711 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.712 * [backup-simplify]: Simplify (- 0) into 0 6.712 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 6.712 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 6.712 * [backup-simplify]: Simplify (+ 1 0) into 1 6.713 * [backup-simplify]: Simplify (+ 1 0) into 1 6.713 * [backup-simplify]: Simplify (* 1 1) into 1 6.713 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 6.713 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 6.713 * [taylor]: Taking taylor expansion of -0.5 in a 6.713 * [backup-simplify]: Simplify -0.5 into -0.5 6.713 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 6.713 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 6.713 * [taylor]: Taking taylor expansion of PI in a 6.713 * [backup-simplify]: Simplify PI into PI 6.713 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 6.714 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 6.714 * [taylor]: Taking taylor expansion of 1.0 in a 6.714 * [backup-simplify]: Simplify 1.0 into 1.0 6.714 * [taylor]: Taking taylor expansion of b in a 6.714 * [backup-simplify]: Simplify b into b 6.714 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 6.714 * [taylor]: Taking taylor expansion of 1.0 in a 6.714 * [backup-simplify]: Simplify 1.0 into 1.0 6.714 * [taylor]: Taking taylor expansion of a in a 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [backup-simplify]: Simplify 1 into 1 6.714 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 6.714 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.714 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.714 * [taylor]: Taking taylor expansion of a in a 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [backup-simplify]: Simplify 1 into 1 6.714 * [backup-simplify]: Simplify (/ 1 1) into 1 6.714 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.714 * [taylor]: Taking taylor expansion of b in a 6.714 * [backup-simplify]: Simplify b into b 6.715 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.715 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.715 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.715 * [taylor]: Taking taylor expansion of a in a 6.715 * [backup-simplify]: Simplify 0 into 0 6.715 * [backup-simplify]: Simplify 1 into 1 6.715 * [backup-simplify]: Simplify (/ 1 1) into 1 6.715 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.715 * [taylor]: Taking taylor expansion of b in a 6.715 * [backup-simplify]: Simplify b into b 6.715 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.715 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 6.716 * [backup-simplify]: Simplify (* 1.0 0) into 0 6.716 * [backup-simplify]: Simplify (- 0) into 0 6.717 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 6.717 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 6.717 * [backup-simplify]: Simplify (+ 1 0) into 1 6.717 * [backup-simplify]: Simplify (+ 1 0) into 1 6.718 * [backup-simplify]: Simplify (* 1 1) into 1 6.718 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 6.718 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 6.718 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 6.718 * [taylor]: Taking taylor expansion of -0.5 in b 6.718 * [backup-simplify]: Simplify -0.5 into -0.5 6.718 * [taylor]: Taking taylor expansion of (* b PI) in b 6.718 * [taylor]: Taking taylor expansion of b in b 6.718 * [backup-simplify]: Simplify 0 into 0 6.718 * [backup-simplify]: Simplify 1 into 1 6.718 * [taylor]: Taking taylor expansion of PI in b 6.718 * [backup-simplify]: Simplify PI into PI 6.719 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 6.721 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 6.721 * [backup-simplify]: Simplify (* 0 PI) into 0 6.722 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 6.722 * [backup-simplify]: Simplify 0 into 0 6.723 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 6.724 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 6.725 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 6.726 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 6.727 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 6.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.728 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 6.728 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 6.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.729 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.729 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 6.732 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)))) into (- (* 1.0 PI)) 6.733 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 0.5 PI) 6.733 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 6.733 * [taylor]: Taking taylor expansion of 0.5 in b 6.733 * [backup-simplify]: Simplify 0.5 into 0.5 6.733 * [taylor]: Taking taylor expansion of PI in b 6.733 * [backup-simplify]: Simplify PI into PI 6.734 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 6.734 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 6.735 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 6.735 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 6.736 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 6.736 * [backup-simplify]: Simplify (- 0) into 0 6.737 * [backup-simplify]: Simplify (+ 0 0) into 0 6.737 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 6.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.738 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.738 * [backup-simplify]: Simplify (- 0) into 0 6.738 * [backup-simplify]: Simplify (+ 0 0) into 0 6.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.739 * [backup-simplify]: Simplify (+ 0 0) into 0 6.740 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 6.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI b)) 6.742 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 0.5 (/ PI b))) 6.742 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 6.742 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 6.742 * [taylor]: Taking taylor expansion of 0.5 in b 6.742 * [backup-simplify]: Simplify 0.5 into 0.5 6.742 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.742 * [taylor]: Taking taylor expansion of PI in b 6.742 * [backup-simplify]: Simplify PI into PI 6.742 * [taylor]: Taking taylor expansion of b in b 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 1 into 1 6.743 * [backup-simplify]: Simplify (/ PI 1) into PI 6.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.747 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.748 * [backup-simplify]: Simplify (- 0) into 0 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.748 * [backup-simplify]: Simplify 0 into 0 6.749 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.750 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 6.750 * [backup-simplify]: Simplify 0 into 0 6.750 * [backup-simplify]: Simplify 0 into 0 6.750 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 6.750 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 6.750 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 6.750 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 6.750 * [taylor]: Taking taylor expansion of PI in b 6.750 * [backup-simplify]: Simplify PI into PI 6.750 * [taylor]: Taking taylor expansion of (+ a b) in b 6.750 * [taylor]: Taking taylor expansion of a in b 6.750 * [backup-simplify]: Simplify a into a 6.750 * [taylor]: Taking taylor expansion of b in b 6.750 * [backup-simplify]: Simplify 0 into 0 6.750 * [backup-simplify]: Simplify 1 into 1 6.750 * [backup-simplify]: Simplify (+ a 0) into a 6.750 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 6.750 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 6.750 * [taylor]: Taking taylor expansion of PI in a 6.750 * [backup-simplify]: Simplify PI into PI 6.750 * [taylor]: Taking taylor expansion of (+ a b) in a 6.750 * [taylor]: Taking taylor expansion of a in a 6.750 * [backup-simplify]: Simplify 0 into 0 6.750 * [backup-simplify]: Simplify 1 into 1 6.750 * [taylor]: Taking taylor expansion of b in a 6.750 * [backup-simplify]: Simplify b into b 6.750 * [backup-simplify]: Simplify (+ 0 b) into b 6.750 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.750 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 6.750 * [taylor]: Taking taylor expansion of PI in a 6.751 * [backup-simplify]: Simplify PI into PI 6.751 * [taylor]: Taking taylor expansion of (+ a b) in a 6.751 * [taylor]: Taking taylor expansion of a in a 6.751 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify 1 into 1 6.751 * [taylor]: Taking taylor expansion of b in a 6.751 * [backup-simplify]: Simplify b into b 6.751 * [backup-simplify]: Simplify (+ 0 b) into b 6.751 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 6.751 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.751 * [taylor]: Taking taylor expansion of PI in b 6.751 * [backup-simplify]: Simplify PI into PI 6.751 * [taylor]: Taking taylor expansion of b in b 6.751 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify 1 into 1 6.751 * [backup-simplify]: Simplify (/ PI 1) into PI 6.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify (+ 1 0) into 1 6.752 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 6.752 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 6.752 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.752 * [taylor]: Taking taylor expansion of PI in b 6.752 * [backup-simplify]: Simplify PI into PI 6.752 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.752 * [taylor]: Taking taylor expansion of b in b 6.752 * [backup-simplify]: Simplify 0 into 0 6.752 * [backup-simplify]: Simplify 1 into 1 6.752 * [backup-simplify]: Simplify (* 1 1) into 1 6.753 * [backup-simplify]: Simplify (/ PI 1) into PI 6.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.755 * [backup-simplify]: Simplify (- 0) into 0 6.755 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify (+ 0 0) into 0 6.756 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 6.756 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 6.756 * [taylor]: Taking taylor expansion of PI in b 6.756 * [backup-simplify]: Simplify PI into PI 6.756 * [taylor]: Taking taylor expansion of (pow b 3) in b 6.756 * [taylor]: Taking taylor expansion of b in b 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 1 into 1 6.757 * [backup-simplify]: Simplify (* 1 1) into 1 6.757 * [backup-simplify]: Simplify (* 1 1) into 1 6.757 * [backup-simplify]: Simplify (/ PI 1) into PI 6.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.763 * [backup-simplify]: Simplify (- 0) into 0 6.763 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.764 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 6.764 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 6.764 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 6.764 * [taylor]: Taking taylor expansion of PI in b 6.764 * [backup-simplify]: Simplify PI into PI 6.764 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.764 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.764 * [taylor]: Taking taylor expansion of a in b 6.764 * [backup-simplify]: Simplify a into a 6.764 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.764 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.764 * [taylor]: Taking taylor expansion of b in b 6.764 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify 1 into 1 6.765 * [backup-simplify]: Simplify (/ 1 1) into 1 6.765 * [backup-simplify]: Simplify (+ 0 1) into 1 6.765 * [backup-simplify]: Simplify (/ PI 1) into PI 6.765 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 6.765 * [taylor]: Taking taylor expansion of PI in a 6.765 * [backup-simplify]: Simplify PI into PI 6.765 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.765 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.765 * [taylor]: Taking taylor expansion of a in a 6.765 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 1 into 1 6.766 * [backup-simplify]: Simplify (/ 1 1) into 1 6.766 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.766 * [taylor]: Taking taylor expansion of b in a 6.766 * [backup-simplify]: Simplify b into b 6.766 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.766 * [backup-simplify]: Simplify (+ 1 0) into 1 6.766 * [backup-simplify]: Simplify (/ PI 1) into PI 6.766 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 6.766 * [taylor]: Taking taylor expansion of PI in a 6.766 * [backup-simplify]: Simplify PI into PI 6.766 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.766 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.767 * [taylor]: Taking taylor expansion of a in a 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify 1 into 1 6.767 * [backup-simplify]: Simplify (/ 1 1) into 1 6.767 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.767 * [taylor]: Taking taylor expansion of b in a 6.767 * [backup-simplify]: Simplify b into b 6.767 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.767 * [backup-simplify]: Simplify (+ 1 0) into 1 6.767 * [backup-simplify]: Simplify (/ PI 1) into PI 6.768 * [taylor]: Taking taylor expansion of PI in b 6.768 * [backup-simplify]: Simplify PI into PI 6.768 * [backup-simplify]: Simplify 0 into 0 6.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.768 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 6.768 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 6.768 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.768 * [taylor]: Taking taylor expansion of PI in b 6.769 * [backup-simplify]: Simplify PI into PI 6.769 * [taylor]: Taking taylor expansion of b in b 6.769 * [backup-simplify]: Simplify 0 into 0 6.769 * [backup-simplify]: Simplify 1 into 1 6.769 * [backup-simplify]: Simplify (/ PI 1) into PI 6.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.770 * [backup-simplify]: Simplify (- 0) into 0 6.770 * [backup-simplify]: Simplify 0 into 0 6.770 * [backup-simplify]: Simplify 0 into 0 6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.771 * [backup-simplify]: Simplify (+ 0 0) into 0 6.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 6.772 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.772 * [taylor]: Taking taylor expansion of PI in b 6.772 * [backup-simplify]: Simplify PI into PI 6.772 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.772 * [taylor]: Taking taylor expansion of b in b 6.772 * [backup-simplify]: Simplify 0 into 0 6.772 * [backup-simplify]: Simplify 1 into 1 6.772 * [backup-simplify]: Simplify (* 1 1) into 1 6.773 * [backup-simplify]: Simplify (/ PI 1) into PI 6.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.774 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.776 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.777 * [backup-simplify]: Simplify (- 0) into 0 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify 0 into 0 6.777 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 6.777 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 6.777 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 6.777 * [taylor]: Taking taylor expansion of -1 in b 6.778 * [backup-simplify]: Simplify -1 into -1 6.778 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 6.778 * [taylor]: Taking taylor expansion of PI in b 6.778 * [backup-simplify]: Simplify PI into PI 6.778 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.778 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.778 * [taylor]: Taking taylor expansion of a in b 6.778 * [backup-simplify]: Simplify a into a 6.778 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.778 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.778 * [taylor]: Taking taylor expansion of b in b 6.778 * [backup-simplify]: Simplify 0 into 0 6.778 * [backup-simplify]: Simplify 1 into 1 6.778 * [backup-simplify]: Simplify (/ 1 1) into 1 6.779 * [backup-simplify]: Simplify (+ 0 1) into 1 6.779 * [backup-simplify]: Simplify (/ PI 1) into PI 6.779 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 6.779 * [taylor]: Taking taylor expansion of -1 in a 6.779 * [backup-simplify]: Simplify -1 into -1 6.779 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 6.779 * [taylor]: Taking taylor expansion of PI in a 6.779 * [backup-simplify]: Simplify PI into PI 6.779 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.779 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.779 * [taylor]: Taking taylor expansion of a in a 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [backup-simplify]: Simplify (/ 1 1) into 1 6.780 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.780 * [taylor]: Taking taylor expansion of b in a 6.780 * [backup-simplify]: Simplify b into b 6.780 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.780 * [backup-simplify]: Simplify (+ 1 0) into 1 6.781 * [backup-simplify]: Simplify (/ PI 1) into PI 6.781 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 6.781 * [taylor]: Taking taylor expansion of -1 in a 6.781 * [backup-simplify]: Simplify -1 into -1 6.781 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 6.781 * [taylor]: Taking taylor expansion of PI in a 6.781 * [backup-simplify]: Simplify PI into PI 6.781 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.781 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.781 * [taylor]: Taking taylor expansion of a in a 6.781 * [backup-simplify]: Simplify 0 into 0 6.781 * [backup-simplify]: Simplify 1 into 1 6.782 * [backup-simplify]: Simplify (/ 1 1) into 1 6.782 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.782 * [taylor]: Taking taylor expansion of b in a 6.782 * [backup-simplify]: Simplify b into b 6.782 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.782 * [backup-simplify]: Simplify (+ 1 0) into 1 6.783 * [backup-simplify]: Simplify (/ PI 1) into PI 6.783 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 6.783 * [taylor]: Taking taylor expansion of (* -1 PI) in b 6.783 * [taylor]: Taking taylor expansion of -1 in b 6.783 * [backup-simplify]: Simplify -1 into -1 6.783 * [taylor]: Taking taylor expansion of PI in b 6.783 * [backup-simplify]: Simplify PI into PI 6.784 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 6.784 * [backup-simplify]: Simplify 0 into 0 6.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.785 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 6.786 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 6.786 * [taylor]: Taking taylor expansion of (/ PI b) in b 6.786 * [taylor]: Taking taylor expansion of PI in b 6.786 * [backup-simplify]: Simplify PI into PI 6.786 * [taylor]: Taking taylor expansion of b in b 6.786 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify 1 into 1 6.787 * [backup-simplify]: Simplify (/ PI 1) into PI 6.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.789 * [backup-simplify]: Simplify 0 into 0 6.790 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 6.790 * [backup-simplify]: Simplify 0 into 0 6.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.791 * [backup-simplify]: Simplify (+ 0 0) into 0 6.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 6.793 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 6.794 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 6.794 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.794 * [taylor]: Taking taylor expansion of PI in b 6.794 * [backup-simplify]: Simplify PI into PI 6.794 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.794 * [taylor]: Taking taylor expansion of b in b 6.794 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify 1 into 1 6.794 * [backup-simplify]: Simplify (* 1 1) into 1 6.795 * [backup-simplify]: Simplify (/ PI 1) into PI 6.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.799 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.801 * [backup-simplify]: Simplify (- 0) into 0 6.801 * [backup-simplify]: Simplify 0 into 0 6.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.801 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * [backup-simplify]: Simplify 0 into 0 6.802 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 6.802 * [backup-simplify]: Simplify (* (/ (/ PI (+ a b)) 2.0) (/ 1.0 (- b a))) into (* 0.5 (/ PI (* (+ a b) (- b a)))) 6.802 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in (a b) around 0 6.802 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in b 6.802 * [taylor]: Taking taylor expansion of 0.5 in b 6.802 * [backup-simplify]: Simplify 0.5 into 0.5 6.802 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in b 6.802 * [taylor]: Taking taylor expansion of PI in b 6.802 * [backup-simplify]: Simplify PI into PI 6.802 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 6.802 * [taylor]: Taking taylor expansion of (+ a b) in b 6.803 * [taylor]: Taking taylor expansion of a in b 6.803 * [backup-simplify]: Simplify a into a 6.803 * [taylor]: Taking taylor expansion of b in b 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [taylor]: Taking taylor expansion of (- b a) in b 6.803 * [taylor]: Taking taylor expansion of b in b 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [taylor]: Taking taylor expansion of a in b 6.803 * [backup-simplify]: Simplify a into a 6.803 * [backup-simplify]: Simplify (+ a 0) into a 6.803 * [backup-simplify]: Simplify (- a) into (- a) 6.803 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 6.803 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 6.803 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 6.803 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in a 6.803 * [taylor]: Taking taylor expansion of 0.5 in a 6.803 * [backup-simplify]: Simplify 0.5 into 0.5 6.803 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in a 6.803 * [taylor]: Taking taylor expansion of PI in a 6.803 * [backup-simplify]: Simplify PI into PI 6.803 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 6.803 * [taylor]: Taking taylor expansion of (+ a b) in a 6.803 * [taylor]: Taking taylor expansion of a in a 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [taylor]: Taking taylor expansion of b in a 6.803 * [backup-simplify]: Simplify b into b 6.803 * [taylor]: Taking taylor expansion of (- b a) in a 6.803 * [taylor]: Taking taylor expansion of b in a 6.803 * [backup-simplify]: Simplify b into b 6.803 * [taylor]: Taking taylor expansion of a in a 6.803 * [backup-simplify]: Simplify 0 into 0 6.803 * [backup-simplify]: Simplify 1 into 1 6.803 * [backup-simplify]: Simplify (+ 0 b) into b 6.804 * [backup-simplify]: Simplify (- 0) into 0 6.804 * [backup-simplify]: Simplify (+ b 0) into b 6.804 * [backup-simplify]: Simplify (* b b) into (pow b 2) 6.804 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 6.804 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in a 6.804 * [taylor]: Taking taylor expansion of 0.5 in a 6.804 * [backup-simplify]: Simplify 0.5 into 0.5 6.804 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in a 6.804 * [taylor]: Taking taylor expansion of PI in a 6.804 * [backup-simplify]: Simplify PI into PI 6.804 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 6.804 * [taylor]: Taking taylor expansion of (+ a b) in a 6.804 * [taylor]: Taking taylor expansion of a in a 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 1 into 1 6.804 * [taylor]: Taking taylor expansion of b in a 6.804 * [backup-simplify]: Simplify b into b 6.804 * [taylor]: Taking taylor expansion of (- b a) in a 6.804 * [taylor]: Taking taylor expansion of b in a 6.804 * [backup-simplify]: Simplify b into b 6.804 * [taylor]: Taking taylor expansion of a in a 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 1 into 1 6.804 * [backup-simplify]: Simplify (+ 0 b) into b 6.804 * [backup-simplify]: Simplify (- 0) into 0 6.804 * [backup-simplify]: Simplify (+ b 0) into b 6.804 * [backup-simplify]: Simplify (* b b) into (pow b 2) 6.804 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 6.805 * [backup-simplify]: Simplify (* 0.5 (/ PI (pow b 2))) into (* 0.5 (/ PI (pow b 2))) 6.805 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 6.805 * [taylor]: Taking taylor expansion of 0.5 in b 6.805 * [backup-simplify]: Simplify 0.5 into 0.5 6.805 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.805 * [taylor]: Taking taylor expansion of PI in b 6.805 * [backup-simplify]: Simplify PI into PI 6.805 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.805 * [taylor]: Taking taylor expansion of b in b 6.805 * [backup-simplify]: Simplify 0 into 0 6.805 * [backup-simplify]: Simplify 1 into 1 6.805 * [backup-simplify]: Simplify (* 1 1) into 1 6.805 * [backup-simplify]: Simplify (/ PI 1) into PI 6.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.808 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify (- 1) into -1 6.808 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.809 * [backup-simplify]: Simplify (+ 1 0) into 1 6.809 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 6.809 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 6.809 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ PI (pow b 2)))) into 0 6.809 * [taylor]: Taking taylor expansion of 0 in b 6.809 * [backup-simplify]: Simplify 0 into 0 6.809 * [backup-simplify]: Simplify 0 into 0 6.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.811 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.811 * [backup-simplify]: Simplify 0 into 0 6.812 * [backup-simplify]: Simplify (- 0) into 0 6.812 * [backup-simplify]: Simplify (+ 0 0) into 0 6.812 * [backup-simplify]: Simplify (+ 0 0) into 0 6.812 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 6.813 * [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)) 6.814 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 0.5 (/ PI (pow b 4))) 6.814 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 6.814 * [taylor]: Taking taylor expansion of 0.5 in b 6.814 * [backup-simplify]: Simplify 0.5 into 0.5 6.814 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 6.814 * [taylor]: Taking taylor expansion of PI in b 6.814 * [backup-simplify]: Simplify PI into PI 6.814 * [taylor]: Taking taylor expansion of (pow b 4) in b 6.814 * [taylor]: Taking taylor expansion of b in b 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (* 1 1) into 1 6.814 * [backup-simplify]: Simplify (* 1 1) into 1 6.814 * [backup-simplify]: Simplify (/ PI 1) into PI 6.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.822 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.822 * [backup-simplify]: Simplify 0 into 0 6.822 * [backup-simplify]: Simplify 0 into 0 6.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.824 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.824 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2.0) (/ 1.0 (- (/ 1 b) (/ 1 a)))) into (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 6.825 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 6.825 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 6.825 * [taylor]: Taking taylor expansion of 0.5 in b 6.825 * [backup-simplify]: Simplify 0.5 into 0.5 6.825 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 6.825 * [taylor]: Taking taylor expansion of PI in b 6.825 * [backup-simplify]: Simplify PI into PI 6.825 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 6.825 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.825 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.825 * [taylor]: Taking taylor expansion of a in b 6.825 * [backup-simplify]: Simplify a into a 6.825 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.825 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.825 * [taylor]: Taking taylor expansion of b in b 6.825 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify 1 into 1 6.825 * [backup-simplify]: Simplify (/ 1 1) into 1 6.825 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 6.825 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.825 * [taylor]: Taking taylor expansion of b in b 6.825 * [backup-simplify]: Simplify 0 into 0 6.825 * [backup-simplify]: Simplify 1 into 1 6.825 * [backup-simplify]: Simplify (/ 1 1) into 1 6.825 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.825 * [taylor]: Taking taylor expansion of a in b 6.826 * [backup-simplify]: Simplify a into a 6.826 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.826 * [backup-simplify]: Simplify (+ 0 1) into 1 6.826 * [backup-simplify]: Simplify (+ 1 0) into 1 6.826 * [backup-simplify]: Simplify (* 1 1) into 1 6.827 * [backup-simplify]: Simplify (/ PI 1) into PI 6.827 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 6.827 * [taylor]: Taking taylor expansion of 0.5 in a 6.827 * [backup-simplify]: Simplify 0.5 into 0.5 6.827 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 6.827 * [taylor]: Taking taylor expansion of PI in a 6.827 * [backup-simplify]: Simplify PI into PI 6.827 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 6.827 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.827 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.827 * [taylor]: Taking taylor expansion of a in a 6.827 * [backup-simplify]: Simplify 0 into 0 6.827 * [backup-simplify]: Simplify 1 into 1 6.827 * [backup-simplify]: Simplify (/ 1 1) into 1 6.827 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.827 * [taylor]: Taking taylor expansion of b in a 6.827 * [backup-simplify]: Simplify b into b 6.827 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.827 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.827 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.827 * [taylor]: Taking taylor expansion of b in a 6.827 * [backup-simplify]: Simplify b into b 6.827 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.827 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.827 * [taylor]: Taking taylor expansion of a in a 6.827 * [backup-simplify]: Simplify 0 into 0 6.827 * [backup-simplify]: Simplify 1 into 1 6.828 * [backup-simplify]: Simplify (/ 1 1) into 1 6.828 * [backup-simplify]: Simplify (+ 1 0) into 1 6.828 * [backup-simplify]: Simplify (- 1) into -1 6.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.829 * [backup-simplify]: Simplify (* 1 -1) into -1 6.829 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 6.829 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 6.829 * [taylor]: Taking taylor expansion of 0.5 in a 6.829 * [backup-simplify]: Simplify 0.5 into 0.5 6.829 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 6.830 * [taylor]: Taking taylor expansion of PI in a 6.830 * [backup-simplify]: Simplify PI into PI 6.830 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 6.830 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.830 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.830 * [taylor]: Taking taylor expansion of a in a 6.830 * [backup-simplify]: Simplify 0 into 0 6.830 * [backup-simplify]: Simplify 1 into 1 6.830 * [backup-simplify]: Simplify (/ 1 1) into 1 6.830 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.830 * [taylor]: Taking taylor expansion of b in a 6.830 * [backup-simplify]: Simplify b into b 6.830 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.830 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.830 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.830 * [taylor]: Taking taylor expansion of b in a 6.830 * [backup-simplify]: Simplify b into b 6.830 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.830 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.830 * [taylor]: Taking taylor expansion of a in a 6.830 * [backup-simplify]: Simplify 0 into 0 6.831 * [backup-simplify]: Simplify 1 into 1 6.831 * [backup-simplify]: Simplify (/ 1 1) into 1 6.831 * [backup-simplify]: Simplify (+ 1 0) into 1 6.832 * [backup-simplify]: Simplify (- 1) into -1 6.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.833 * [backup-simplify]: Simplify (* 1 -1) into -1 6.833 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 6.835 * [backup-simplify]: Simplify (* 0.5 (* -1 PI)) into (* -0.5 PI) 6.835 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 6.835 * [taylor]: Taking taylor expansion of -0.5 in b 6.835 * [backup-simplify]: Simplify -0.5 into -0.5 6.835 * [taylor]: Taking taylor expansion of PI in b 6.835 * [backup-simplify]: Simplify PI into PI 6.836 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 6.836 * [backup-simplify]: Simplify 0 into 0 6.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.837 * [backup-simplify]: Simplify (- 0) into 0 6.837 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 6.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.838 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.838 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 6.840 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 6.841 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 PI))) into 0 6.841 * [taylor]: Taking taylor expansion of 0 in b 6.841 * [backup-simplify]: Simplify 0 into 0 6.841 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.842 * [backup-simplify]: Simplify 0 into 0 6.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.844 * [backup-simplify]: Simplify (- 0) into 0 6.844 * [backup-simplify]: Simplify (+ 0 0) into 0 6.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.846 * [backup-simplify]: Simplify (+ 0 0) into 0 6.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 6.848 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 6.850 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 0.5 (/ PI (pow b 2)))) 6.850 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 6.850 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 6.850 * [taylor]: Taking taylor expansion of 0.5 in b 6.850 * [backup-simplify]: Simplify 0.5 into 0.5 6.850 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.850 * [taylor]: Taking taylor expansion of PI in b 6.850 * [backup-simplify]: Simplify PI into PI 6.850 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.850 * [taylor]: Taking taylor expansion of b in b 6.850 * [backup-simplify]: Simplify 0 into 0 6.850 * [backup-simplify]: Simplify 1 into 1 6.851 * [backup-simplify]: Simplify (* 1 1) into 1 6.851 * [backup-simplify]: Simplify (/ PI 1) into PI 6.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.862 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.862 * [backup-simplify]: Simplify (- 0) into 0 6.862 * [backup-simplify]: Simplify 0 into 0 6.862 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify 0 into 0 6.863 * [backup-simplify]: Simplify (* (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2.0) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 6.863 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 6.863 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 6.863 * [taylor]: Taking taylor expansion of -0.5 in b 6.863 * [backup-simplify]: Simplify -0.5 into -0.5 6.863 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 6.863 * [taylor]: Taking taylor expansion of PI in b 6.863 * [backup-simplify]: Simplify PI into PI 6.863 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 6.863 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 6.863 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.863 * [taylor]: Taking taylor expansion of a in b 6.864 * [backup-simplify]: Simplify a into a 6.864 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.864 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.864 * [taylor]: Taking taylor expansion of b in b 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.864 * [backup-simplify]: Simplify (/ 1 1) into 1 6.864 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 6.864 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.864 * [taylor]: Taking taylor expansion of a in b 6.864 * [backup-simplify]: Simplify a into a 6.864 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.864 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.864 * [taylor]: Taking taylor expansion of b in b 6.864 * [backup-simplify]: Simplify 0 into 0 6.864 * [backup-simplify]: Simplify 1 into 1 6.864 * [backup-simplify]: Simplify (/ 1 1) into 1 6.865 * [backup-simplify]: Simplify (+ 0 1) into 1 6.865 * [backup-simplify]: Simplify (- 1) into -1 6.865 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.865 * [backup-simplify]: Simplify (* 1 -1) into -1 6.866 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 6.866 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 6.866 * [taylor]: Taking taylor expansion of -0.5 in a 6.866 * [backup-simplify]: Simplify -0.5 into -0.5 6.866 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 6.866 * [taylor]: Taking taylor expansion of PI in a 6.866 * [backup-simplify]: Simplify PI into PI 6.866 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 6.866 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.866 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.866 * [taylor]: Taking taylor expansion of a in a 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify (/ 1 1) into 1 6.866 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.866 * [taylor]: Taking taylor expansion of b in a 6.866 * [backup-simplify]: Simplify b into b 6.866 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.866 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.866 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.866 * [taylor]: Taking taylor expansion of a in a 6.866 * [backup-simplify]: Simplify 0 into 0 6.866 * [backup-simplify]: Simplify 1 into 1 6.866 * [backup-simplify]: Simplify (/ 1 1) into 1 6.866 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.866 * [taylor]: Taking taylor expansion of b in a 6.866 * [backup-simplify]: Simplify b into b 6.867 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.867 * [backup-simplify]: Simplify (+ 1 0) into 1 6.867 * [backup-simplify]: Simplify (+ 1 0) into 1 6.868 * [backup-simplify]: Simplify (* 1 1) into 1 6.868 * [backup-simplify]: Simplify (/ PI 1) into PI 6.868 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 6.868 * [taylor]: Taking taylor expansion of -0.5 in a 6.868 * [backup-simplify]: Simplify -0.5 into -0.5 6.868 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 6.868 * [taylor]: Taking taylor expansion of PI in a 6.868 * [backup-simplify]: Simplify PI into PI 6.868 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 6.868 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 6.868 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.868 * [taylor]: Taking taylor expansion of a in a 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.868 * [backup-simplify]: Simplify (/ 1 1) into 1 6.868 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.868 * [taylor]: Taking taylor expansion of b in a 6.868 * [backup-simplify]: Simplify b into b 6.868 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.868 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.868 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.868 * [taylor]: Taking taylor expansion of a in a 6.868 * [backup-simplify]: Simplify 0 into 0 6.868 * [backup-simplify]: Simplify 1 into 1 6.869 * [backup-simplify]: Simplify (/ 1 1) into 1 6.869 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.869 * [taylor]: Taking taylor expansion of b in a 6.869 * [backup-simplify]: Simplify b into b 6.869 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.869 * [backup-simplify]: Simplify (+ 1 0) into 1 6.869 * [backup-simplify]: Simplify (+ 1 0) into 1 6.870 * [backup-simplify]: Simplify (* 1 1) into 1 6.870 * [backup-simplify]: Simplify (/ PI 1) into PI 6.870 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 6.870 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 6.870 * [taylor]: Taking taylor expansion of -0.5 in b 6.870 * [backup-simplify]: Simplify -0.5 into -0.5 6.870 * [taylor]: Taking taylor expansion of PI in b 6.870 * [backup-simplify]: Simplify PI into PI 6.871 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 6.871 * [backup-simplify]: Simplify 0 into 0 6.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.871 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 6.871 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 6.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.872 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 6.872 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 6.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.873 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 6.873 * [taylor]: Taking taylor expansion of 0 in b 6.873 * [backup-simplify]: Simplify 0 into 0 6.873 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 6.874 * [backup-simplify]: Simplify 0 into 0 6.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.875 * [backup-simplify]: Simplify (- 0) into 0 6.875 * [backup-simplify]: Simplify (+ 0 0) into 0 6.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 6.876 * [backup-simplify]: Simplify (+ 0 0) into 0 6.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 6.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 6.878 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 6.878 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 6.878 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 6.878 * [taylor]: Taking taylor expansion of 0.5 in b 6.878 * [backup-simplify]: Simplify 0.5 into 0.5 6.878 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 6.878 * [taylor]: Taking taylor expansion of PI in b 6.878 * [backup-simplify]: Simplify PI into PI 6.878 * [taylor]: Taking taylor expansion of (pow b 2) in b 6.878 * [taylor]: Taking taylor expansion of b in b 6.878 * [backup-simplify]: Simplify 0 into 0 6.878 * [backup-simplify]: Simplify 1 into 1 6.878 * [backup-simplify]: Simplify (* 1 1) into 1 6.878 * [backup-simplify]: Simplify (/ PI 1) into PI 6.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 6.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.884 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.884 * [backup-simplify]: Simplify (- 0) into 0 6.884 * [backup-simplify]: Simplify 0 into 0 6.884 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 6.885 * [backup-simplify]: Simplify (/ 1.0 (- b a)) into (/ 1.0 (- b a)) 6.885 * [approximate]: Taking taylor expansion of (/ 1.0 (- b a)) in (b a) around 0 6.885 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in a 6.885 * [taylor]: Taking taylor expansion of 1.0 in a 6.885 * [backup-simplify]: Simplify 1.0 into 1.0 6.885 * [taylor]: Taking taylor expansion of (- b a) in a 6.885 * [taylor]: Taking taylor expansion of b in a 6.885 * [backup-simplify]: Simplify b into b 6.885 * [taylor]: Taking taylor expansion of a in a 6.885 * [backup-simplify]: Simplify 0 into 0 6.885 * [backup-simplify]: Simplify 1 into 1 6.885 * [backup-simplify]: Simplify (- 0) into 0 6.886 * [backup-simplify]: Simplify (+ b 0) into b 6.886 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 6.886 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in b 6.886 * [taylor]: Taking taylor expansion of 1.0 in b 6.886 * [backup-simplify]: Simplify 1.0 into 1.0 6.886 * [taylor]: Taking taylor expansion of (- b a) in b 6.886 * [taylor]: Taking taylor expansion of b in b 6.886 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify 1 into 1 6.886 * [taylor]: Taking taylor expansion of a in b 6.886 * [backup-simplify]: Simplify a into a 6.886 * [backup-simplify]: Simplify (- a) into (- a) 6.886 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 6.886 * [backup-simplify]: Simplify (/ 1.0 (- a)) into (/ -1.0 a) 6.886 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in b 6.886 * [taylor]: Taking taylor expansion of 1.0 in b 6.886 * [backup-simplify]: Simplify 1.0 into 1.0 6.886 * [taylor]: Taking taylor expansion of (- b a) in b 6.886 * [taylor]: Taking taylor expansion of b in b 6.886 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify 1 into 1 6.886 * [taylor]: Taking taylor expansion of a in b 6.886 * [backup-simplify]: Simplify a into a 6.886 * [backup-simplify]: Simplify (- a) into (- a) 6.886 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 6.886 * [backup-simplify]: Simplify (/ 1.0 (- a)) into (/ -1.0 a) 6.886 * [taylor]: Taking taylor expansion of (/ -1.0 a) in a 6.886 * [taylor]: Taking taylor expansion of -1.0 in a 6.886 * [backup-simplify]: Simplify -1.0 into -1.0 6.886 * [taylor]: Taking taylor expansion of a in a 6.886 * [backup-simplify]: Simplify 0 into 0 6.886 * [backup-simplify]: Simplify 1 into 1 6.886 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 6.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 6.887 * [backup-simplify]: Simplify 0 into 0 6.887 * [backup-simplify]: Simplify (- 0) into 0 6.888 * [backup-simplify]: Simplify (+ 1 0) into 1 6.888 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1.0 a) (/ 1 (- a))))) into (- (* 1.0 (/ 1 (pow a 2)))) 6.888 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 2)))) in a 6.888 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 6.888 * [taylor]: Taking taylor expansion of 1.0 in a 6.888 * [backup-simplify]: Simplify 1.0 into 1.0 6.888 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 6.888 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.888 * [taylor]: Taking taylor expansion of a in a 6.888 * [backup-simplify]: Simplify 0 into 0 6.888 * [backup-simplify]: Simplify 1 into 1 6.888 * [backup-simplify]: Simplify (* 1 1) into 1 6.888 * [backup-simplify]: Simplify (/ 1 1) into 1 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.891 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 6.891 * [backup-simplify]: Simplify (- 0) into 0 6.891 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.892 * [backup-simplify]: Simplify 0 into 0 6.892 * [backup-simplify]: Simplify (- 0) into 0 6.892 * [backup-simplify]: Simplify (+ 0 0) into 0 6.893 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1.0 a) (/ 0 (- a))) (* (- (* 1.0 (/ 1 (pow a 2)))) (/ 1 (- a))))) into (- (* 1.0 (/ 1 (pow a 3)))) 6.893 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 3)))) in a 6.893 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 3))) in a 6.893 * [taylor]: Taking taylor expansion of 1.0 in a 6.893 * [backup-simplify]: Simplify 1.0 into 1.0 6.893 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 6.893 * [taylor]: Taking taylor expansion of (pow a 3) in a 6.893 * [taylor]: Taking taylor expansion of a in a 6.893 * [backup-simplify]: Simplify 0 into 0 6.893 * [backup-simplify]: Simplify 1 into 1 6.893 * [backup-simplify]: Simplify (* 1 1) into 1 6.894 * [backup-simplify]: Simplify (* 1 1) into 1 6.894 * [backup-simplify]: Simplify (/ 1 1) into 1 6.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.903 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.904 * [backup-simplify]: Simplify (- 0) into 0 6.904 * [backup-simplify]: Simplify 0 into 0 6.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.906 * [backup-simplify]: Simplify (- 0) into 0 6.906 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify (/ 1.0 (- (/ 1 b) (/ 1 a))) into (/ 1.0 (- (/ 1 b) (/ 1 a))) 6.907 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in (b a) around 0 6.907 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in a 6.907 * [taylor]: Taking taylor expansion of 1.0 in a 6.907 * [backup-simplify]: Simplify 1.0 into 1.0 6.907 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 6.907 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.907 * [taylor]: Taking taylor expansion of b in a 6.907 * [backup-simplify]: Simplify b into b 6.907 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.907 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.907 * [taylor]: Taking taylor expansion of a in a 6.907 * [backup-simplify]: Simplify 0 into 0 6.907 * [backup-simplify]: Simplify 1 into 1 6.907 * [backup-simplify]: Simplify (/ 1 1) into 1 6.907 * [backup-simplify]: Simplify (- 1) into -1 6.908 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.908 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 6.908 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in b 6.908 * [taylor]: Taking taylor expansion of 1.0 in b 6.908 * [backup-simplify]: Simplify 1.0 into 1.0 6.908 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 6.908 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.908 * [taylor]: Taking taylor expansion of b in b 6.908 * [backup-simplify]: Simplify 0 into 0 6.908 * [backup-simplify]: Simplify 1 into 1 6.908 * [backup-simplify]: Simplify (/ 1 1) into 1 6.908 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.908 * [taylor]: Taking taylor expansion of a in b 6.908 * [backup-simplify]: Simplify a into a 6.908 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.909 * [backup-simplify]: Simplify (+ 1 0) into 1 6.909 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.909 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in b 6.909 * [taylor]: Taking taylor expansion of 1.0 in b 6.909 * [backup-simplify]: Simplify 1.0 into 1.0 6.909 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 6.909 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.909 * [taylor]: Taking taylor expansion of b in b 6.909 * [backup-simplify]: Simplify 0 into 0 6.909 * [backup-simplify]: Simplify 1 into 1 6.909 * [backup-simplify]: Simplify (/ 1 1) into 1 6.909 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.909 * [taylor]: Taking taylor expansion of a in b 6.909 * [backup-simplify]: Simplify a into a 6.909 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.910 * [backup-simplify]: Simplify (+ 1 0) into 1 6.910 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.910 * [taylor]: Taking taylor expansion of 1.0 in a 6.910 * [backup-simplify]: Simplify 1.0 into 1.0 6.910 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.911 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 6.911 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 6.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 a)) 1)))) into (* 1.0 (/ 1 a)) 6.911 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 6.911 * [taylor]: Taking taylor expansion of 1.0 in a 6.911 * [backup-simplify]: Simplify 1.0 into 1.0 6.911 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.911 * [taylor]: Taking taylor expansion of a in a 6.911 * [backup-simplify]: Simplify 0 into 0 6.911 * [backup-simplify]: Simplify 1 into 1 6.911 * [backup-simplify]: Simplify (/ 1 1) into 1 6.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.913 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify 0 into 0 6.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 6.914 * [backup-simplify]: Simplify (- 0) into 0 6.914 * [backup-simplify]: Simplify (+ 0 0) into 0 6.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* (* 1.0 (/ 1 a)) (/ (- (/ 1 a)) 1)))) into (* 1.0 (/ 1 (pow a 2))) 6.915 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 6.915 * [taylor]: Taking taylor expansion of 1.0 in a 6.915 * [backup-simplify]: Simplify 1.0 into 1.0 6.915 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 6.915 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.915 * [taylor]: Taking taylor expansion of a in a 6.915 * [backup-simplify]: Simplify 0 into 0 6.915 * [backup-simplify]: Simplify 1 into 1 6.915 * [backup-simplify]: Simplify (* 1 1) into 1 6.915 * [backup-simplify]: Simplify (/ 1 1) into 1 6.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.919 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.919 * [backup-simplify]: Simplify 0 into 0 6.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.920 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a)))) into (/ 1.0 (- (/ 1 a) (/ 1 b))) 6.921 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in (b a) around 0 6.921 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in a 6.921 * [taylor]: Taking taylor expansion of 1.0 in a 6.921 * [backup-simplify]: Simplify 1.0 into 1.0 6.921 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 6.921 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.921 * [taylor]: Taking taylor expansion of a in a 6.921 * [backup-simplify]: Simplify 0 into 0 6.921 * [backup-simplify]: Simplify 1 into 1 6.921 * [backup-simplify]: Simplify (/ 1 1) into 1 6.921 * [taylor]: Taking taylor expansion of (/ 1 b) in a 6.921 * [taylor]: Taking taylor expansion of b in a 6.921 * [backup-simplify]: Simplify b into b 6.921 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 6.922 * [backup-simplify]: Simplify (+ 1 0) into 1 6.922 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 6.922 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in b 6.922 * [taylor]: Taking taylor expansion of 1.0 in b 6.922 * [backup-simplify]: Simplify 1.0 into 1.0 6.922 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 6.922 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.922 * [taylor]: Taking taylor expansion of a in b 6.922 * [backup-simplify]: Simplify a into a 6.922 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.922 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.922 * [taylor]: Taking taylor expansion of b in b 6.922 * [backup-simplify]: Simplify 0 into 0 6.922 * [backup-simplify]: Simplify 1 into 1 6.922 * [backup-simplify]: Simplify (/ 1 1) into 1 6.922 * [backup-simplify]: Simplify (- 1) into -1 6.923 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.923 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 6.923 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in b 6.923 * [taylor]: Taking taylor expansion of 1.0 in b 6.923 * [backup-simplify]: Simplify 1.0 into 1.0 6.923 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 6.923 * [taylor]: Taking taylor expansion of (/ 1 a) in b 6.923 * [taylor]: Taking taylor expansion of a in b 6.923 * [backup-simplify]: Simplify a into a 6.923 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 6.923 * [taylor]: Taking taylor expansion of (/ 1 b) in b 6.923 * [taylor]: Taking taylor expansion of b in b 6.923 * [backup-simplify]: Simplify 0 into 0 6.923 * [backup-simplify]: Simplify 1 into 1 6.923 * [backup-simplify]: Simplify (/ 1 1) into 1 6.924 * [backup-simplify]: Simplify (- 1) into -1 6.924 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.924 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 6.924 * [taylor]: Taking taylor expansion of -1.0 in a 6.924 * [backup-simplify]: Simplify -1.0 into -1.0 6.924 * [backup-simplify]: Simplify 0 into 0 6.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.925 * [backup-simplify]: Simplify (- 0) into 0 6.925 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 6.925 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ (/ 1 a) -1)))) into (- (* 1.0 (/ 1 a))) 6.926 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a))) in a 6.926 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 6.926 * [taylor]: Taking taylor expansion of 1.0 in a 6.926 * [backup-simplify]: Simplify 1.0 into 1.0 6.926 * [taylor]: Taking taylor expansion of (/ 1 a) in a 6.926 * [taylor]: Taking taylor expansion of a in a 6.926 * [backup-simplify]: Simplify 0 into 0 6.926 * [backup-simplify]: Simplify 1 into 1 6.926 * [backup-simplify]: Simplify (/ 1 1) into 1 6.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.927 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 6.928 * [backup-simplify]: Simplify (- 0) into 0 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify 0 into 0 6.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 6.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.929 * [backup-simplify]: Simplify (- 0) into 0 6.929 * [backup-simplify]: Simplify (+ 0 0) into 0 6.930 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ 0 -1)) (* (- (* 1.0 (/ 1 a))) (/ (/ 1 a) -1)))) into (- (* 1.0 (/ 1 (pow a 2)))) 6.930 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 2)))) in a 6.930 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 6.930 * [taylor]: Taking taylor expansion of 1.0 in a 6.930 * [backup-simplify]: Simplify 1.0 into 1.0 6.930 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 6.930 * [taylor]: Taking taylor expansion of (pow a 2) in a 6.930 * [taylor]: Taking taylor expansion of a in a 6.930 * [backup-simplify]: Simplify 0 into 0 6.930 * [backup-simplify]: Simplify 1 into 1 6.930 * [backup-simplify]: Simplify (* 1 1) into 1 6.930 * [backup-simplify]: Simplify (/ 1 1) into 1 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.935 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.935 * [backup-simplify]: Simplify (- 0) into 0 6.935 * [backup-simplify]: Simplify 0 into 0 6.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.937 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.938 * [backup-simplify]: Simplify (- 0) into 0 6.938 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify 0 into 0 6.938 * [backup-simplify]: Simplify 0 into 0 6.938 * * * [progress]: simplifying candidates 6.945 * [simplify]: Simplifying: (* (* (/ (/ PI (+ a b)) 2.0) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI (+ a b)) 2.0) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (- (log PI) (log (+ a b))) (log 2.0)) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (- (log PI) (log (+ a b))) (log 2.0)) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI (+ a b))) (log 2.0)) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI (+ a b))) (log 2.0)) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI (+ a b)) 2.0)) (- (log 1.0) (log (- b 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a) 1.0) (/ 1.0 (- (pow b 3) (pow a 3))) (/ 1.0 (- (* b b) (* a a))) 0 0 0 0 0 0 0 0 0 0 0 0 6.955 * * [simplify]: iteration 0: 369 enodes 7.070 * * [simplify]: iteration 1: 1208 enodes 7.674 * * [simplify]: iteration complete: 5000 enodes 7.675 * * [simplify]: Extracting #0: cost 199 inf + 0 7.678 * * [simplify]: Extracting #1: cost 1550 inf + 168 7.694 * * [simplify]: Extracting #2: cost 2104 inf + 6840 7.736 * * [simplify]: Extracting #3: cost 1523 inf + 127935 7.817 * * [simplify]: Extracting #4: cost 318 inf + 452511 7.917 * * [simplify]: Extracting #5: cost 33 inf + 555638 8.085 * * [simplify]: Extracting #6: cost 3 inf + 563034 8.240 * * [simplify]: Extracting #7: cost 0 inf + 563635 8.424 * [simplify]: Simplified to: (/ (* (/ (/ PI (+ a b)) (/ 2.0 1.0)) (- (/ 1.0 a) (/ 1.0 b))) (- b a)) (/ (* (/ (/ PI (+ a b)) (/ 2.0 1.0)) (- (/ 1.0 a) (/ 1.0 b))) (- b a)) (log (/ (* (/ (/ PI (+ a b)) (/ 2.0 1.0)) (- (/ 1.0 a) (/ 1.0 b))) (- b a))) (log (/ (* (/ (/ PI (+ a b)) (/ 2.0 1.0)) (- (/ 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(/ (/ (* (/ PI (+ a b)) 1.0) (- b a)) (sqrt 2.0)) (/ (/ (/ PI (+ a b)) (/ 2.0 1.0)) (- b a)) (/ (* 1.0 (/ (/ 1 (cbrt 2.0)) (+ a b))) (- b a)) (/ (* (/ 1 (+ a b)) (/ 1.0 (- b a))) (sqrt 2.0)) (* (/ (/ 1 2.0) (+ a b)) (/ 1.0 (- b a))) (/ (+ (* b (- b a)) (* a a)) (/ (cbrt 2.0) (/ 1.0 (- b a)))) (/ (/ (+ (* b (- b a)) (* a a)) (sqrt 2.0)) (/ (- b a) 1.0)) (/ (* (+ (* b (- b a)) (* a a)) (/ 1.0 (- b a))) 2.0) (/ (* (/ 1.0 (- b a)) (- a b)) (cbrt 2.0)) (/ (* 1.0 (/ (- a b) (sqrt 2.0))) (- b a)) (/ (* 1.0 (/ (- a b) 2.0)) (- b a)) (/ (/ (/ PI (+ a b)) (/ 2.0 1.0)) (- b a)) (/ (/ 1.0 (- b a)) 2.0) (/ (/ PI (+ a b)) (/ 2.0 1.0)) (/ (* (/ PI (+ a b)) 1.0) (- b a)) (log (/ 1.0 (- b a))) (log (/ 1.0 (- b a))) (exp (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (* (/ 1.0 (- b a)) (/ 1.0 (- b a)))) (* (cbrt (/ 1.0 (- b a))) (cbrt (/ 1.0 (- b a)))) (cbrt (/ 1.0 (- b a))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a))) (sqrt (/ 1.0 (- b a))) (sqrt (/ 1.0 (- b a))) (- 1.0) (- (- b a)) (* (/ (cbrt 1.0) (cbrt (- b a))) (/ (cbrt 1.0) (cbrt (- b a)))) (/ (cbrt 1.0) (cbrt (- b a))) (* (/ (cbrt 1.0) (sqrt (- b a))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (- b a))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- b a)) (/ (cbrt 1.0) (/ (+ (sqrt b) (sqrt a)) (cbrt 1.0))) (/ (cbrt 1.0) (- (sqrt b) (sqrt a))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- b a)) (/ (/ (sqrt 1.0) (cbrt (- b a))) (cbrt (- b a))) (/ (sqrt 1.0) (cbrt (- b a))) (/ (sqrt 1.0) (sqrt (- b a))) (/ (sqrt 1.0) (sqrt (- b a))) (sqrt 1.0) (/ (sqrt 1.0) (- b a)) (/ (sqrt 1.0) (+ (sqrt b) (sqrt a))) (/ (sqrt 1.0) (- (sqrt b) (sqrt a))) (sqrt 1.0) (/ (sqrt 1.0) (- b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 1.0 (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ 1.0 (sqrt (- b a))) 1 (/ 1.0 (- b a)) (/ 1 (+ (sqrt b) (sqrt a))) (/ 1.0 (- (sqrt b) (sqrt a))) 1 (/ 1.0 (- b a)) (/ 1 (- b a)) (/ (- b a) 1.0) (/ 1.0 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 1.0 (sqrt (- b a))) 1.0 (/ 1.0 (+ (sqrt b) (sqrt a))) 1.0 (/ (- b a) (cbrt 1.0)) (/ (- b a) (sqrt 1.0)) (/ (- b a) 1.0) (/ 1.0 (- (* b (* b b)) (* (* a a) a))) (/ 1.0 (* (+ a b) (- b a))) 0 0 0 0 0 0 0 0 0 0 0 0 8.453 * * * [progress]: adding candidates to table 9.796 * * [progress]: iteration 3 / 4 9.796 * * * [progress]: picking best candidate 9.843 * * * * [pick]: Picked # 9.844 * * * [progress]: localizing error 9.884 * * * [progress]: generating rewritten candidates 9.884 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 10.048 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 1) 10.066 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 10.202 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 10.239 * * * [progress]: generating series expansions 10.239 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 10.239 * [backup-simplify]: Simplify (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) 10.239 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in (a b) around 0 10.239 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in b 10.239 * [taylor]: Taking taylor expansion of 0.5 in b 10.239 * [backup-simplify]: Simplify 0.5 into 0.5 10.239 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in b 10.239 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 10.239 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 10.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 10.239 * [taylor]: Taking taylor expansion of 1.0 in b 10.239 * [backup-simplify]: Simplify 1.0 into 1.0 10.239 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.239 * [taylor]: Taking taylor expansion of a in b 10.239 * [backup-simplify]: Simplify a into a 10.239 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.239 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 10.239 * [taylor]: Taking taylor expansion of 1.0 in b 10.239 * [backup-simplify]: Simplify 1.0 into 1.0 10.239 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.239 * [taylor]: Taking taylor expansion of b in b 10.239 * [backup-simplify]: Simplify 0 into 0 10.239 * [backup-simplify]: Simplify 1 into 1 10.240 * [backup-simplify]: Simplify (/ 1 1) into 1 10.240 * [taylor]: Taking taylor expansion of PI in b 10.240 * [backup-simplify]: Simplify PI into PI 10.240 * [taylor]: Taking taylor expansion of (+ a b) in b 10.240 * [taylor]: Taking taylor expansion of a in b 10.240 * [backup-simplify]: Simplify a into a 10.240 * [taylor]: Taking taylor expansion of b in b 10.240 * [backup-simplify]: Simplify 0 into 0 10.240 * [backup-simplify]: Simplify 1 into 1 10.240 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.241 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.241 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 10.242 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 10.242 * [backup-simplify]: Simplify (+ a 0) into a 10.242 * [backup-simplify]: Simplify (/ (* -1.0 PI) a) into (* -1.0 (/ PI a)) 10.242 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in a 10.242 * [taylor]: Taking taylor expansion of 0.5 in a 10.242 * [backup-simplify]: Simplify 0.5 into 0.5 10.242 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in a 10.242 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 10.242 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 10.242 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 10.242 * [taylor]: Taking taylor expansion of 1.0 in a 10.242 * [backup-simplify]: Simplify 1.0 into 1.0 10.242 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.242 * [taylor]: Taking taylor expansion of a in a 10.242 * [backup-simplify]: Simplify 0 into 0 10.242 * [backup-simplify]: Simplify 1 into 1 10.243 * [backup-simplify]: Simplify (/ 1 1) into 1 10.243 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 10.243 * [taylor]: Taking taylor expansion of 1.0 in a 10.243 * [backup-simplify]: Simplify 1.0 into 1.0 10.243 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.243 * [taylor]: Taking taylor expansion of b in a 10.243 * [backup-simplify]: Simplify b into b 10.243 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.243 * [taylor]: Taking taylor expansion of PI in a 10.243 * [backup-simplify]: Simplify PI into PI 10.243 * [taylor]: Taking taylor expansion of (+ a b) in a 10.243 * [taylor]: Taking taylor expansion of a in a 10.243 * [backup-simplify]: Simplify 0 into 0 10.243 * [backup-simplify]: Simplify 1 into 1 10.243 * [taylor]: Taking taylor expansion of b in a 10.243 * [backup-simplify]: Simplify b into b 10.243 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.244 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.244 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 10.244 * [backup-simplify]: Simplify (+ 0 b) into b 10.244 * [backup-simplify]: Simplify (/ (* 1.0 PI) b) into (* 1.0 (/ PI b)) 10.244 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in a 10.244 * [taylor]: Taking taylor expansion of 0.5 in a 10.244 * [backup-simplify]: Simplify 0.5 into 0.5 10.244 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in a 10.244 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 10.244 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 10.244 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 10.244 * [taylor]: Taking taylor expansion of 1.0 in a 10.244 * [backup-simplify]: Simplify 1.0 into 1.0 10.244 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.244 * [taylor]: Taking taylor expansion of a in a 10.244 * [backup-simplify]: Simplify 0 into 0 10.244 * [backup-simplify]: Simplify 1 into 1 10.245 * [backup-simplify]: Simplify (/ 1 1) into 1 10.245 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 10.245 * [taylor]: Taking taylor expansion of 1.0 in a 10.245 * [backup-simplify]: Simplify 1.0 into 1.0 10.245 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.245 * [taylor]: Taking taylor expansion of b in a 10.245 * [backup-simplify]: Simplify b into b 10.245 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.245 * [taylor]: Taking taylor expansion of PI in a 10.245 * [backup-simplify]: Simplify PI into PI 10.245 * [taylor]: Taking taylor expansion of (+ a b) in a 10.245 * [taylor]: Taking taylor expansion of a in a 10.245 * [backup-simplify]: Simplify 0 into 0 10.245 * [backup-simplify]: Simplify 1 into 1 10.245 * [taylor]: Taking taylor expansion of b in a 10.245 * [backup-simplify]: Simplify b into b 10.245 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.246 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.246 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 10.246 * [backup-simplify]: Simplify (+ 0 b) into b 10.246 * [backup-simplify]: Simplify (/ (* 1.0 PI) b) into (* 1.0 (/ PI b)) 10.246 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI b))) into (* 0.5 (/ PI b)) 10.246 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 10.246 * [taylor]: Taking taylor expansion of 0.5 in b 10.246 * [backup-simplify]: Simplify 0.5 into 0.5 10.246 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.246 * [taylor]: Taking taylor expansion of PI in b 10.247 * [backup-simplify]: Simplify PI into PI 10.247 * [taylor]: Taking taylor expansion of b in b 10.247 * [backup-simplify]: Simplify 0 into 0 10.247 * [backup-simplify]: Simplify 1 into 1 10.247 * [backup-simplify]: Simplify (/ PI 1) into PI 10.247 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 10.248 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 10.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.249 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 10.249 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 10.249 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 10.249 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 10.249 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 10.249 * [backup-simplify]: Simplify (+ 1 0) into 1 10.250 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI b))) b) (+ (* (* 1.0 (/ PI b)) (/ 1 b)))) into (- (* 2.0 (/ PI (pow b 2)))) 10.250 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow b 2))))) (* 0 (* 1.0 (/ PI b)))) into (- (* 1.0 (/ PI (pow b 2)))) 10.250 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow b 2)))) in b 10.250 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 2))) in b 10.250 * [taylor]: Taking taylor expansion of 1.0 in b 10.250 * [backup-simplify]: Simplify 1.0 into 1.0 10.250 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.250 * [taylor]: Taking taylor expansion of PI in b 10.250 * [backup-simplify]: Simplify PI into PI 10.250 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.250 * [taylor]: Taking taylor expansion of b in b 10.250 * [backup-simplify]: Simplify 0 into 0 10.250 * [backup-simplify]: Simplify 1 into 1 10.250 * [backup-simplify]: Simplify (* 1 1) into 1 10.251 * [backup-simplify]: Simplify (/ PI 1) into PI 10.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.252 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 10.252 * [backup-simplify]: Simplify (- 0) into 0 10.252 * [backup-simplify]: Simplify 0 into 0 10.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 10.253 * [backup-simplify]: Simplify 0 into 0 10.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.254 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 10.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.255 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 10.255 * [backup-simplify]: Simplify (- 0) into 0 10.255 * [backup-simplify]: Simplify (+ 0 0) into 0 10.256 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 10.256 * [backup-simplify]: Simplify (+ 0 0) into 0 10.257 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1.0 (/ PI b)) (/ 0 b)) (* (- (* 2.0 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2.0 (/ PI (pow b 3))) 10.257 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow b 3)))) (+ (* 0 (- (* 2.0 (/ PI (pow b 2))))) (* 0 (* 1.0 (/ PI b))))) into (* 1.0 (/ PI (pow b 3))) 10.257 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 3))) in b 10.257 * [taylor]: Taking taylor expansion of 1.0 in b 10.257 * [backup-simplify]: Simplify 1.0 into 1.0 10.257 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 10.257 * [taylor]: Taking taylor expansion of PI in b 10.257 * [backup-simplify]: Simplify PI into PI 10.257 * [taylor]: Taking taylor expansion of (pow b 3) in b 10.257 * [taylor]: Taking taylor expansion of b in b 10.257 * [backup-simplify]: Simplify 0 into 0 10.257 * [backup-simplify]: Simplify 1 into 1 10.257 * [backup-simplify]: Simplify (* 1 1) into 1 10.258 * [backup-simplify]: Simplify (* 1 1) into 1 10.258 * [backup-simplify]: Simplify (/ PI 1) into PI 10.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.261 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.262 * [backup-simplify]: Simplify 0 into 0 10.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.264 * [backup-simplify]: Simplify (- 0) into 0 10.264 * [backup-simplify]: Simplify 0 into 0 10.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.265 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 10.265 * [backup-simplify]: Simplify 0 into 0 10.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.266 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.267 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 10.267 * [backup-simplify]: Simplify (- 0) into 0 10.267 * [backup-simplify]: Simplify (+ 0 0) into 0 10.268 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (+ (* 0 0) (* 0 PI)))) into 0 10.268 * [backup-simplify]: Simplify (+ 0 0) into 0 10.269 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1.0 (/ PI b)) (/ 0 b)) (* (- (* 2.0 (/ PI (pow b 2)))) (/ 0 b)) (* (* 2.0 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 2.0 (/ PI (pow b 4)))) 10.269 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow b 4))))) (+ (* 0 (* 2.0 (/ PI (pow b 3)))) (+ (* 0 (- (* 2.0 (/ PI (pow b 2))))) (* 0 (* 1.0 (/ PI b)))))) into (- (* 1.0 (/ PI (pow b 4)))) 10.269 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow b 4)))) in b 10.269 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 4))) in b 10.269 * [taylor]: Taking taylor expansion of 1.0 in b 10.269 * [backup-simplify]: Simplify 1.0 into 1.0 10.269 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 10.269 * [taylor]: Taking taylor expansion of PI in b 10.269 * [backup-simplify]: Simplify PI into PI 10.269 * [taylor]: Taking taylor expansion of (pow b 4) in b 10.269 * [taylor]: Taking taylor expansion of b in b 10.269 * [backup-simplify]: Simplify 0 into 0 10.269 * [backup-simplify]: Simplify 1 into 1 10.270 * [backup-simplify]: Simplify (* 1 1) into 1 10.270 * [backup-simplify]: Simplify (* 1 1) into 1 10.270 * [backup-simplify]: Simplify (/ PI 1) into PI 10.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.276 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.276 * [backup-simplify]: Simplify (- 0) into 0 10.276 * [backup-simplify]: Simplify 0 into 0 10.276 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (* a b))) 10.277 * [backup-simplify]: Simplify (* (* (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2.0) 1.0) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) 10.277 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 10.277 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in b 10.277 * [taylor]: Taking taylor expansion of 0.5 in b 10.277 * [backup-simplify]: Simplify 0.5 into 0.5 10.277 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in b 10.277 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 10.277 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 10.277 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 10.277 * [taylor]: Taking taylor expansion of 1.0 in b 10.277 * [backup-simplify]: Simplify 1.0 into 1.0 10.277 * [taylor]: Taking taylor expansion of a in b 10.277 * [backup-simplify]: Simplify a into a 10.277 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 10.277 * [taylor]: Taking taylor expansion of 1.0 in b 10.277 * [backup-simplify]: Simplify 1.0 into 1.0 10.277 * [taylor]: Taking taylor expansion of b in b 10.277 * [backup-simplify]: Simplify 0 into 0 10.277 * [backup-simplify]: Simplify 1 into 1 10.277 * [taylor]: Taking taylor expansion of PI in b 10.277 * [backup-simplify]: Simplify PI into PI 10.277 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.278 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.278 * [taylor]: Taking taylor expansion of a in b 10.278 * [backup-simplify]: Simplify a into a 10.278 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.278 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.278 * [taylor]: Taking taylor expansion of b in b 10.278 * [backup-simplify]: Simplify 0 into 0 10.278 * [backup-simplify]: Simplify 1 into 1 10.281 * [backup-simplify]: Simplify (/ 1 1) into 1 10.282 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 10.282 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.283 * [backup-simplify]: Simplify (- 0) into 0 10.283 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 10.283 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 10.283 * [backup-simplify]: Simplify (+ 0 1) into 1 10.283 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 10.283 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in a 10.284 * [taylor]: Taking taylor expansion of 0.5 in a 10.284 * [backup-simplify]: Simplify 0.5 into 0.5 10.284 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 10.284 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 10.284 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 10.284 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.284 * [taylor]: Taking taylor expansion of 1.0 in a 10.284 * [backup-simplify]: Simplify 1.0 into 1.0 10.284 * [taylor]: Taking taylor expansion of a in a 10.284 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify 1 into 1 10.284 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.284 * [taylor]: Taking taylor expansion of 1.0 in a 10.284 * [backup-simplify]: Simplify 1.0 into 1.0 10.284 * [taylor]: Taking taylor expansion of b in a 10.284 * [backup-simplify]: Simplify b into b 10.284 * [taylor]: Taking taylor expansion of PI in a 10.284 * [backup-simplify]: Simplify PI into PI 10.284 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.284 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.284 * [taylor]: Taking taylor expansion of a in a 10.284 * [backup-simplify]: Simplify 0 into 0 10.284 * [backup-simplify]: Simplify 1 into 1 10.284 * [backup-simplify]: Simplify (/ 1 1) into 1 10.284 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.285 * [taylor]: Taking taylor expansion of b in a 10.285 * [backup-simplify]: Simplify b into b 10.285 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.285 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.285 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.285 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 10.285 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 10.285 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 10.286 * [backup-simplify]: Simplify (+ 1 0) into 1 10.286 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) 1) into (* -1.0 (* b PI)) 10.286 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in a 10.286 * [taylor]: Taking taylor expansion of 0.5 in a 10.286 * [backup-simplify]: Simplify 0.5 into 0.5 10.286 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 10.286 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 10.286 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 10.286 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.286 * [taylor]: Taking taylor expansion of 1.0 in a 10.286 * [backup-simplify]: Simplify 1.0 into 1.0 10.286 * [taylor]: Taking taylor expansion of a in a 10.286 * [backup-simplify]: Simplify 0 into 0 10.286 * [backup-simplify]: Simplify 1 into 1 10.286 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.286 * [taylor]: Taking taylor expansion of 1.0 in a 10.286 * [backup-simplify]: Simplify 1.0 into 1.0 10.286 * [taylor]: Taking taylor expansion of b in a 10.286 * [backup-simplify]: Simplify b into b 10.286 * [taylor]: Taking taylor expansion of PI in a 10.286 * [backup-simplify]: Simplify PI into PI 10.286 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.286 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.287 * [taylor]: Taking taylor expansion of a in a 10.287 * [backup-simplify]: Simplify 0 into 0 10.287 * [backup-simplify]: Simplify 1 into 1 10.287 * [backup-simplify]: Simplify (/ 1 1) into 1 10.287 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.287 * [taylor]: Taking taylor expansion of b in a 10.287 * [backup-simplify]: Simplify b into b 10.287 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.287 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.288 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.288 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 10.288 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 10.288 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 10.288 * [backup-simplify]: Simplify (+ 1 0) into 1 10.288 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) 1) into (* -1.0 (* b PI)) 10.289 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (* b PI))) into (* -0.5 (* PI b)) 10.289 * [taylor]: Taking taylor expansion of (* -0.5 (* PI b)) in b 10.289 * [taylor]: Taking taylor expansion of -0.5 in b 10.289 * [backup-simplify]: Simplify -0.5 into -0.5 10.289 * [taylor]: Taking taylor expansion of (* PI b) in b 10.289 * [taylor]: Taking taylor expansion of PI in b 10.289 * [backup-simplify]: Simplify PI into PI 10.289 * [taylor]: Taking taylor expansion of b in b 10.289 * [backup-simplify]: Simplify 0 into 0 10.289 * [backup-simplify]: Simplify 1 into 1 10.290 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 10.291 * [backup-simplify]: Simplify (* PI 0) into 0 10.292 * [backup-simplify]: Simplify (+ (* -0.5 PI) (* 0 0)) into (- (* 0.5 PI)) 10.294 * [backup-simplify]: Simplify (- (* 0.5 PI)) into (- (* 0.5 PI)) 10.295 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 10.296 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 10.296 * [backup-simplify]: Simplify (- 0) into 0 10.296 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.297 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (* 1.0 PI)) into (* 1.0 PI) 10.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.298 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.299 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* b PI)) (/ (/ 1 b) 1)))) into (* 2.0 PI) 10.300 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 PI)) (* 0 (* -1.0 (* b PI)))) into (* 1.0 PI) 10.300 * [taylor]: Taking taylor expansion of (* 1.0 PI) in b 10.300 * [taylor]: Taking taylor expansion of 1.0 in b 10.300 * [backup-simplify]: Simplify 1.0 into 1.0 10.301 * [taylor]: Taking taylor expansion of PI in b 10.301 * [backup-simplify]: Simplify PI into PI 10.301 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 10.301 * [backup-simplify]: Simplify 0 into 0 10.302 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 10.302 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 10.302 * [backup-simplify]: Simplify 0 into 0 10.303 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 10.304 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 10.304 * [backup-simplify]: Simplify (- 0) into 0 10.304 * [backup-simplify]: Simplify (+ 0 0) into 0 10.305 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 10.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.305 * [backup-simplify]: Simplify (+ 0 0) into 0 10.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* b PI)) (/ 0 1)) (* (* 2.0 PI) (/ (/ 1 b) 1)))) into (- (* 2.0 (/ PI b))) 10.307 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI b)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* b PI))))) into (- (* 1.0 (/ PI b))) 10.307 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI b))) in b 10.307 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI b)) in b 10.307 * [taylor]: Taking taylor expansion of 1.0 in b 10.307 * [backup-simplify]: Simplify 1.0 into 1.0 10.307 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.307 * [taylor]: Taking taylor expansion of PI in b 10.307 * [backup-simplify]: Simplify PI into PI 10.307 * [taylor]: Taking taylor expansion of b in b 10.307 * [backup-simplify]: Simplify 0 into 0 10.307 * [backup-simplify]: Simplify 1 into 1 10.307 * [backup-simplify]: Simplify (/ PI 1) into PI 10.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.309 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.309 * [backup-simplify]: Simplify (- 0) into 0 10.309 * [backup-simplify]: Simplify 0 into 0 10.310 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.310 * [backup-simplify]: Simplify 0 into 0 10.311 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.311 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.311 * [backup-simplify]: Simplify 0 into 0 10.312 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.313 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 10.313 * [backup-simplify]: Simplify (- 0) into 0 10.313 * [backup-simplify]: Simplify (+ 0 0) into 0 10.314 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.315 * [backup-simplify]: Simplify (+ 0 0) into 0 10.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* b PI)) (/ 0 1)) (* (* 2.0 PI) (/ 0 1)) (* (- (* 2.0 (/ PI b))) (/ (/ 1 b) 1)))) into (* 2.0 (/ PI (pow b 2))) 10.317 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow b 2)))) (+ (* 0 (- (* 2.0 (/ PI b)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* b PI)))))) into (* 1.0 (/ PI (pow b 2))) 10.317 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 2))) in b 10.317 * [taylor]: Taking taylor expansion of 1.0 in b 10.317 * [backup-simplify]: Simplify 1.0 into 1.0 10.317 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.317 * [taylor]: Taking taylor expansion of PI in b 10.317 * [backup-simplify]: Simplify PI into PI 10.317 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.317 * [taylor]: Taking taylor expansion of b in b 10.317 * [backup-simplify]: Simplify 0 into 0 10.317 * [backup-simplify]: Simplify 1 into 1 10.317 * [backup-simplify]: Simplify (* 1 1) into 1 10.318 * [backup-simplify]: Simplify (/ PI 1) into PI 10.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.321 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.322 * [backup-simplify]: Simplify 0 into 0 10.322 * [backup-simplify]: Simplify (* (- (* 0.5 PI)) (* (/ 1 b) (/ 1 a))) into (* -0.5 (/ PI (* a b))) 10.323 * [backup-simplify]: Simplify (* (* (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2.0) 1.0) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) 10.323 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 10.323 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in b 10.323 * [taylor]: Taking taylor expansion of -0.5 in b 10.323 * [backup-simplify]: Simplify -0.5 into -0.5 10.323 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b))) in b 10.323 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 10.323 * [taylor]: Taking taylor expansion of PI in b 10.323 * [backup-simplify]: Simplify PI into PI 10.323 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 10.323 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 10.323 * [taylor]: Taking taylor expansion of 1.0 in b 10.323 * [backup-simplify]: Simplify 1.0 into 1.0 10.323 * [taylor]: Taking taylor expansion of b in b 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [backup-simplify]: Simplify 1 into 1 10.323 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 10.323 * [taylor]: Taking taylor expansion of 1.0 in b 10.323 * [backup-simplify]: Simplify 1.0 into 1.0 10.323 * [taylor]: Taking taylor expansion of a in b 10.323 * [backup-simplify]: Simplify a into a 10.323 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.323 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.323 * [taylor]: Taking taylor expansion of a in b 10.323 * [backup-simplify]: Simplify a into a 10.323 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.323 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.323 * [taylor]: Taking taylor expansion of b in b 10.323 * [backup-simplify]: Simplify 0 into 0 10.323 * [backup-simplify]: Simplify 1 into 1 10.323 * [backup-simplify]: Simplify (/ 1 1) into 1 10.324 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.324 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 10.324 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 10.324 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 10.324 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 10.324 * [backup-simplify]: Simplify (+ 0 1) into 1 10.324 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 10.324 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in a 10.324 * [taylor]: Taking taylor expansion of -0.5 in a 10.324 * [backup-simplify]: Simplify -0.5 into -0.5 10.324 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b))) in a 10.324 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 10.324 * [taylor]: Taking taylor expansion of PI in a 10.324 * [backup-simplify]: Simplify PI into PI 10.324 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 10.324 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.324 * [taylor]: Taking taylor expansion of 1.0 in a 10.324 * [backup-simplify]: Simplify 1.0 into 1.0 10.324 * [taylor]: Taking taylor expansion of b in a 10.324 * [backup-simplify]: Simplify b into b 10.324 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.324 * [taylor]: Taking taylor expansion of 1.0 in a 10.324 * [backup-simplify]: Simplify 1.0 into 1.0 10.324 * [taylor]: Taking taylor expansion of a in a 10.324 * [backup-simplify]: Simplify 0 into 0 10.324 * [backup-simplify]: Simplify 1 into 1 10.324 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.325 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.325 * [taylor]: Taking taylor expansion of a in a 10.325 * [backup-simplify]: Simplify 0 into 0 10.325 * [backup-simplify]: Simplify 1 into 1 10.325 * [backup-simplify]: Simplify (/ 1 1) into 1 10.325 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.325 * [taylor]: Taking taylor expansion of b in a 10.325 * [backup-simplify]: Simplify b into b 10.325 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.325 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.325 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.325 * [backup-simplify]: Simplify (- 0) into 0 10.325 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 10.326 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 10.326 * [backup-simplify]: Simplify (+ 1 0) into 1 10.326 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 10.326 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in a 10.326 * [taylor]: Taking taylor expansion of -0.5 in a 10.326 * [backup-simplify]: Simplify -0.5 into -0.5 10.326 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b))) in a 10.326 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 10.326 * [taylor]: Taking taylor expansion of PI in a 10.326 * [backup-simplify]: Simplify PI into PI 10.326 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 10.326 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.326 * [taylor]: Taking taylor expansion of 1.0 in a 10.326 * [backup-simplify]: Simplify 1.0 into 1.0 10.326 * [taylor]: Taking taylor expansion of b in a 10.326 * [backup-simplify]: Simplify b into b 10.326 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.326 * [taylor]: Taking taylor expansion of 1.0 in a 10.326 * [backup-simplify]: Simplify 1.0 into 1.0 10.326 * [taylor]: Taking taylor expansion of a in a 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.326 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.326 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.326 * [taylor]: Taking taylor expansion of a in a 10.326 * [backup-simplify]: Simplify 0 into 0 10.326 * [backup-simplify]: Simplify 1 into 1 10.327 * [backup-simplify]: Simplify (/ 1 1) into 1 10.327 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.327 * [taylor]: Taking taylor expansion of b in a 10.327 * [backup-simplify]: Simplify b into b 10.327 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.327 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.327 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.327 * [backup-simplify]: Simplify (- 0) into 0 10.327 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 10.327 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 10.328 * [backup-simplify]: Simplify (+ 1 0) into 1 10.328 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 10.328 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 10.328 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 10.328 * [taylor]: Taking taylor expansion of -0.5 in b 10.328 * [backup-simplify]: Simplify -0.5 into -0.5 10.328 * [taylor]: Taking taylor expansion of (* b PI) in b 10.328 * [taylor]: Taking taylor expansion of b in b 10.328 * [backup-simplify]: Simplify 0 into 0 10.328 * [backup-simplify]: Simplify 1 into 1 10.328 * [taylor]: Taking taylor expansion of PI in b 10.328 * [backup-simplify]: Simplify PI into PI 10.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.329 * [backup-simplify]: Simplify (* 0 PI) into 0 10.330 * [backup-simplify]: Simplify (+ (* -0.5 PI) (* 0 0)) into (- (* 0.5 PI)) 10.331 * [backup-simplify]: Simplify (- (* 0.5 PI)) into (- (* 0.5 PI)) 10.331 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 10.332 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 10.332 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.333 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 10.334 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 10.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.334 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.335 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ (/ 1 b) 1)))) into (- (* 2.0 PI)) 10.337 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 1.0 PI) 10.337 * [taylor]: Taking taylor expansion of (* 1.0 PI) in b 10.337 * [taylor]: Taking taylor expansion of 1.0 in b 10.337 * [backup-simplify]: Simplify 1.0 into 1.0 10.337 * [taylor]: Taking taylor expansion of PI in b 10.337 * [backup-simplify]: Simplify PI into PI 10.337 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 10.337 * [backup-simplify]: Simplify 0 into 0 10.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.338 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 10.338 * [backup-simplify]: Simplify 0 into 0 10.339 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 10.340 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 10.340 * [backup-simplify]: Simplify (- 0) into 0 10.340 * [backup-simplify]: Simplify (+ 0 0) into 0 10.341 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 10.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.342 * [backup-simplify]: Simplify (+ 0 0) into 0 10.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)) (* (- (* 2.0 PI)) (/ (/ 1 b) 1)))) into (* 2.0 (/ PI b)) 10.344 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 (/ PI b))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 1.0 (/ PI b))) 10.344 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI b))) in b 10.344 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI b)) in b 10.344 * [taylor]: Taking taylor expansion of 1.0 in b 10.344 * [backup-simplify]: Simplify 1.0 into 1.0 10.344 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.344 * [taylor]: Taking taylor expansion of PI in b 10.344 * [backup-simplify]: Simplify PI into PI 10.344 * [taylor]: Taking taylor expansion of b in b 10.344 * [backup-simplify]: Simplify 0 into 0 10.344 * [backup-simplify]: Simplify 1 into 1 10.344 * [backup-simplify]: Simplify (/ PI 1) into PI 10.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.346 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.346 * [backup-simplify]: Simplify (- 0) into 0 10.346 * [backup-simplify]: Simplify 0 into 0 10.347 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 10.347 * [backup-simplify]: Simplify 0 into 0 10.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.348 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.348 * [backup-simplify]: Simplify 0 into 0 10.349 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 10.350 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.350 * [backup-simplify]: Simplify (- 0) into 0 10.350 * [backup-simplify]: Simplify (+ 0 0) into 0 10.351 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b))))) into 0 10.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.352 * [backup-simplify]: Simplify (+ 0 0) into 0 10.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)) (* (- (* 2.0 PI)) (/ 0 1)) (* (* 2.0 (/ PI b)) (/ (/ 1 b) 1)))) into (- (* 2.0 (/ PI (pow b 2)))) 10.354 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 (/ PI (pow b 2))))) (+ (* 0 (* 2.0 (/ PI b))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* PI b)))))) into (* 1.0 (/ PI (pow b 2))) 10.354 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 2))) in b 10.354 * [taylor]: Taking taylor expansion of 1.0 in b 10.354 * [backup-simplify]: Simplify 1.0 into 1.0 10.354 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.354 * [taylor]: Taking taylor expansion of PI in b 10.354 * [backup-simplify]: Simplify PI into PI 10.354 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.354 * [taylor]: Taking taylor expansion of b in b 10.354 * [backup-simplify]: Simplify 0 into 0 10.354 * [backup-simplify]: Simplify 1 into 1 10.354 * [backup-simplify]: Simplify (* 1 1) into 1 10.355 * [backup-simplify]: Simplify (/ PI 1) into PI 10.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.359 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.359 * [backup-simplify]: Simplify 0 into 0 10.359 * [backup-simplify]: Simplify (* (- (* 0.5 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (* a b))) 10.359 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 1) 10.359 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 10.359 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 10.359 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 10.360 * [taylor]: Taking taylor expansion of PI in b 10.360 * [backup-simplify]: Simplify PI into PI 10.360 * [taylor]: Taking taylor expansion of (+ a b) in b 10.360 * [taylor]: Taking taylor expansion of a in b 10.360 * [backup-simplify]: Simplify a into a 10.360 * [taylor]: Taking taylor expansion of b in b 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify 1 into 1 10.360 * [backup-simplify]: Simplify (+ a 0) into a 10.360 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 10.360 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 10.360 * [taylor]: Taking taylor expansion of PI in a 10.360 * [backup-simplify]: Simplify PI into PI 10.360 * [taylor]: Taking taylor expansion of (+ a b) in a 10.360 * [taylor]: Taking taylor expansion of a in a 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify 1 into 1 10.360 * [taylor]: Taking taylor expansion of b in a 10.360 * [backup-simplify]: Simplify b into b 10.360 * [backup-simplify]: Simplify (+ 0 b) into b 10.360 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.360 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 10.360 * [taylor]: Taking taylor expansion of PI in a 10.360 * [backup-simplify]: Simplify PI into PI 10.360 * [taylor]: Taking taylor expansion of (+ a b) in a 10.360 * [taylor]: Taking taylor expansion of a in a 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify 1 into 1 10.360 * [taylor]: Taking taylor expansion of b in a 10.360 * [backup-simplify]: Simplify b into b 10.360 * [backup-simplify]: Simplify (+ 0 b) into b 10.360 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 10.360 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.360 * [taylor]: Taking taylor expansion of PI in b 10.360 * [backup-simplify]: Simplify PI into PI 10.360 * [taylor]: Taking taylor expansion of b in b 10.360 * [backup-simplify]: Simplify 0 into 0 10.360 * [backup-simplify]: Simplify 1 into 1 10.361 * [backup-simplify]: Simplify (/ PI 1) into PI 10.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.361 * [backup-simplify]: Simplify 0 into 0 10.361 * [backup-simplify]: Simplify (+ 1 0) into 1 10.362 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 10.362 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 10.362 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.362 * [taylor]: Taking taylor expansion of PI in b 10.362 * [backup-simplify]: Simplify PI into PI 10.362 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.362 * [taylor]: Taking taylor expansion of b in b 10.362 * [backup-simplify]: Simplify 0 into 0 10.362 * [backup-simplify]: Simplify 1 into 1 10.362 * [backup-simplify]: Simplify (* 1 1) into 1 10.362 * [backup-simplify]: Simplify (/ PI 1) into PI 10.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.365 * [backup-simplify]: Simplify (- 0) into 0 10.365 * [backup-simplify]: Simplify 0 into 0 10.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.365 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify (+ 0 0) into 0 10.366 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 10.366 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 10.366 * [taylor]: Taking taylor expansion of PI in b 10.366 * [backup-simplify]: Simplify PI into PI 10.366 * [taylor]: Taking taylor expansion of (pow b 3) in b 10.366 * [taylor]: Taking taylor expansion of b in b 10.366 * [backup-simplify]: Simplify 0 into 0 10.366 * [backup-simplify]: Simplify 1 into 1 10.366 * [backup-simplify]: Simplify (* 1 1) into 1 10.366 * [backup-simplify]: Simplify (* 1 1) into 1 10.367 * [backup-simplify]: Simplify (/ PI 1) into PI 10.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.372 * [backup-simplify]: Simplify 0 into 0 10.372 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.373 * [backup-simplify]: Simplify (- 0) into 0 10.373 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.374 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 10.374 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 10.374 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 10.374 * [taylor]: Taking taylor expansion of PI in b 10.374 * [backup-simplify]: Simplify PI into PI 10.374 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.374 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.374 * [taylor]: Taking taylor expansion of a in b 10.374 * [backup-simplify]: Simplify a into a 10.374 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.374 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.374 * [taylor]: Taking taylor expansion of b in b 10.374 * [backup-simplify]: Simplify 0 into 0 10.374 * [backup-simplify]: Simplify 1 into 1 10.375 * [backup-simplify]: Simplify (/ 1 1) into 1 10.375 * [backup-simplify]: Simplify (+ 0 1) into 1 10.375 * [backup-simplify]: Simplify (/ PI 1) into PI 10.375 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 10.375 * [taylor]: Taking taylor expansion of PI in a 10.375 * [backup-simplify]: Simplify PI into PI 10.375 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.375 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.375 * [taylor]: Taking taylor expansion of a in a 10.375 * [backup-simplify]: Simplify 0 into 0 10.375 * [backup-simplify]: Simplify 1 into 1 10.376 * [backup-simplify]: Simplify (/ 1 1) into 1 10.376 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.376 * [taylor]: Taking taylor expansion of b in a 10.376 * [backup-simplify]: Simplify b into b 10.376 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.378 * [backup-simplify]: Simplify (+ 1 0) into 1 10.379 * [backup-simplify]: Simplify (/ PI 1) into PI 10.379 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 10.379 * [taylor]: Taking taylor expansion of PI in a 10.379 * [backup-simplify]: Simplify PI into PI 10.379 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.379 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.379 * [taylor]: Taking taylor expansion of a in a 10.379 * [backup-simplify]: Simplify 0 into 0 10.379 * [backup-simplify]: Simplify 1 into 1 10.379 * [backup-simplify]: Simplify (/ 1 1) into 1 10.379 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.379 * [taylor]: Taking taylor expansion of b in a 10.379 * [backup-simplify]: Simplify b into b 10.379 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.380 * [backup-simplify]: Simplify (+ 1 0) into 1 10.380 * [backup-simplify]: Simplify (/ PI 1) into PI 10.380 * [taylor]: Taking taylor expansion of PI in b 10.380 * [backup-simplify]: Simplify PI into PI 10.380 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.381 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 10.381 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 10.381 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.381 * [taylor]: Taking taylor expansion of PI in b 10.381 * [backup-simplify]: Simplify PI into PI 10.381 * [taylor]: Taking taylor expansion of b in b 10.381 * [backup-simplify]: Simplify 0 into 0 10.381 * [backup-simplify]: Simplify 1 into 1 10.381 * [backup-simplify]: Simplify (/ PI 1) into PI 10.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.383 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.383 * [backup-simplify]: Simplify (- 0) into 0 10.383 * [backup-simplify]: Simplify 0 into 0 10.383 * [backup-simplify]: Simplify 0 into 0 10.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.384 * [backup-simplify]: Simplify (+ 0 0) into 0 10.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 10.385 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.385 * [taylor]: Taking taylor expansion of PI in b 10.385 * [backup-simplify]: Simplify PI into PI 10.385 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.385 * [taylor]: Taking taylor expansion of b in b 10.385 * [backup-simplify]: Simplify 0 into 0 10.385 * [backup-simplify]: Simplify 1 into 1 10.385 * [backup-simplify]: Simplify (* 1 1) into 1 10.385 * [backup-simplify]: Simplify (/ PI 1) into PI 10.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.388 * [backup-simplify]: Simplify 0 into 0 10.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.389 * [backup-simplify]: Simplify (- 0) into 0 10.389 * [backup-simplify]: Simplify 0 into 0 10.389 * [backup-simplify]: Simplify 0 into 0 10.389 * [backup-simplify]: Simplify 0 into 0 10.390 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 10.390 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 10.390 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 10.390 * [taylor]: Taking taylor expansion of -1 in b 10.390 * [backup-simplify]: Simplify -1 into -1 10.390 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 10.390 * [taylor]: Taking taylor expansion of PI in b 10.390 * [backup-simplify]: Simplify PI into PI 10.390 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.390 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.390 * [taylor]: Taking taylor expansion of a in b 10.390 * [backup-simplify]: Simplify a into a 10.390 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.390 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.390 * [taylor]: Taking taylor expansion of b in b 10.390 * [backup-simplify]: Simplify 0 into 0 10.390 * [backup-simplify]: Simplify 1 into 1 10.390 * [backup-simplify]: Simplify (/ 1 1) into 1 10.390 * [backup-simplify]: Simplify (+ 0 1) into 1 10.391 * [backup-simplify]: Simplify (/ PI 1) into PI 10.391 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 10.391 * [taylor]: Taking taylor expansion of -1 in a 10.391 * [backup-simplify]: Simplify -1 into -1 10.391 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 10.391 * [taylor]: Taking taylor expansion of PI in a 10.391 * [backup-simplify]: Simplify PI into PI 10.391 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.391 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.391 * [taylor]: Taking taylor expansion of a in a 10.391 * [backup-simplify]: Simplify 0 into 0 10.391 * [backup-simplify]: Simplify 1 into 1 10.391 * [backup-simplify]: Simplify (/ 1 1) into 1 10.391 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.391 * [taylor]: Taking taylor expansion of b in a 10.391 * [backup-simplify]: Simplify b into b 10.391 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.392 * [backup-simplify]: Simplify (+ 1 0) into 1 10.392 * [backup-simplify]: Simplify (/ PI 1) into PI 10.392 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 10.392 * [taylor]: Taking taylor expansion of -1 in a 10.392 * [backup-simplify]: Simplify -1 into -1 10.392 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 10.392 * [taylor]: Taking taylor expansion of PI in a 10.392 * [backup-simplify]: Simplify PI into PI 10.392 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.392 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.392 * [taylor]: Taking taylor expansion of a in a 10.392 * [backup-simplify]: Simplify 0 into 0 10.392 * [backup-simplify]: Simplify 1 into 1 10.393 * [backup-simplify]: Simplify (/ 1 1) into 1 10.393 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.393 * [taylor]: Taking taylor expansion of b in a 10.393 * [backup-simplify]: Simplify b into b 10.393 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.393 * [backup-simplify]: Simplify (+ 1 0) into 1 10.394 * [backup-simplify]: Simplify (/ PI 1) into PI 10.394 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 10.394 * [taylor]: Taking taylor expansion of (* -1 PI) in b 10.394 * [taylor]: Taking taylor expansion of -1 in b 10.394 * [backup-simplify]: Simplify -1 into -1 10.394 * [taylor]: Taking taylor expansion of PI in b 10.394 * [backup-simplify]: Simplify PI into PI 10.395 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 10.395 * [backup-simplify]: Simplify 0 into 0 10.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.396 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 10.397 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 10.397 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.397 * [taylor]: Taking taylor expansion of PI in b 10.397 * [backup-simplify]: Simplify PI into PI 10.397 * [taylor]: Taking taylor expansion of b in b 10.397 * [backup-simplify]: Simplify 0 into 0 10.397 * [backup-simplify]: Simplify 1 into 1 10.398 * [backup-simplify]: Simplify (/ PI 1) into PI 10.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.400 * [backup-simplify]: Simplify 0 into 0 10.401 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 10.401 * [backup-simplify]: Simplify 0 into 0 10.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.402 * [backup-simplify]: Simplify (+ 0 0) into 0 10.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 10.404 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 10.404 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 10.404 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.404 * [taylor]: Taking taylor expansion of PI in b 10.404 * [backup-simplify]: Simplify PI into PI 10.404 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.404 * [taylor]: Taking taylor expansion of b in b 10.404 * [backup-simplify]: Simplify 0 into 0 10.404 * [backup-simplify]: Simplify 1 into 1 10.405 * [backup-simplify]: Simplify (* 1 1) into 1 10.405 * [backup-simplify]: Simplify (/ PI 1) into PI 10.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.411 * [backup-simplify]: Simplify (- 0) into 0 10.411 * [backup-simplify]: Simplify 0 into 0 10.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.412 * [backup-simplify]: Simplify 0 into 0 10.414 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.414 * [backup-simplify]: Simplify 0 into 0 10.414 * [backup-simplify]: Simplify 0 into 0 10.414 * * * * [progress]: [ 3 / 4 ] generating series at (2) 10.414 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (- b a)) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) 10.414 * [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 10.414 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 10.414 * [taylor]: Taking taylor expansion of 0.5 in b 10.414 * [backup-simplify]: Simplify 0.5 into 0.5 10.415 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 10.415 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 10.415 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 10.415 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 10.415 * [taylor]: Taking taylor expansion of 1.0 in b 10.415 * [backup-simplify]: Simplify 1.0 into 1.0 10.415 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.415 * [taylor]: Taking taylor expansion of a in b 10.415 * [backup-simplify]: Simplify a into a 10.415 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.415 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 10.415 * [taylor]: Taking taylor expansion of 1.0 in b 10.415 * [backup-simplify]: Simplify 1.0 into 1.0 10.415 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.415 * [taylor]: Taking taylor expansion of b in b 10.415 * [backup-simplify]: Simplify 0 into 0 10.415 * [backup-simplify]: Simplify 1 into 1 10.415 * [backup-simplify]: Simplify (/ 1 1) into 1 10.416 * [taylor]: Taking taylor expansion of PI in b 10.416 * [backup-simplify]: Simplify PI into PI 10.416 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 10.416 * [taylor]: Taking taylor expansion of (- b a) in b 10.416 * [taylor]: Taking taylor expansion of b in b 10.416 * [backup-simplify]: Simplify 0 into 0 10.416 * [backup-simplify]: Simplify 1 into 1 10.416 * [taylor]: Taking taylor expansion of a in b 10.416 * [backup-simplify]: Simplify a into a 10.416 * [taylor]: Taking taylor expansion of (+ a b) in b 10.416 * [taylor]: Taking taylor expansion of a in b 10.416 * [backup-simplify]: Simplify a into a 10.416 * [taylor]: Taking taylor expansion of b in b 10.416 * [backup-simplify]: Simplify 0 into 0 10.416 * [backup-simplify]: Simplify 1 into 1 10.416 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.417 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.418 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 10.419 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 10.419 * [backup-simplify]: Simplify (- a) into (- a) 10.419 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 10.419 * [backup-simplify]: Simplify (+ a 0) into a 10.419 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 10.419 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 10.420 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 10.420 * [taylor]: Taking taylor expansion of 0.5 in a 10.420 * [backup-simplify]: Simplify 0.5 into 0.5 10.420 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 10.420 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 10.420 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 10.420 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 10.420 * [taylor]: Taking taylor expansion of 1.0 in a 10.420 * [backup-simplify]: Simplify 1.0 into 1.0 10.420 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.420 * [taylor]: Taking taylor expansion of a in a 10.420 * [backup-simplify]: Simplify 0 into 0 10.420 * [backup-simplify]: Simplify 1 into 1 10.420 * [backup-simplify]: Simplify (/ 1 1) into 1 10.420 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 10.420 * [taylor]: Taking taylor expansion of 1.0 in a 10.420 * [backup-simplify]: Simplify 1.0 into 1.0 10.420 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.420 * [taylor]: Taking taylor expansion of b in a 10.420 * [backup-simplify]: Simplify b into b 10.420 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.421 * [taylor]: Taking taylor expansion of PI in a 10.421 * [backup-simplify]: Simplify PI into PI 10.421 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 10.421 * [taylor]: Taking taylor expansion of (- b a) in a 10.421 * [taylor]: Taking taylor expansion of b in a 10.421 * [backup-simplify]: Simplify b into b 10.421 * [taylor]: Taking taylor expansion of a in a 10.421 * [backup-simplify]: Simplify 0 into 0 10.421 * [backup-simplify]: Simplify 1 into 1 10.421 * [taylor]: Taking taylor expansion of (+ a b) in a 10.421 * [taylor]: Taking taylor expansion of a in a 10.421 * [backup-simplify]: Simplify 0 into 0 10.421 * [backup-simplify]: Simplify 1 into 1 10.421 * [taylor]: Taking taylor expansion of b in a 10.421 * [backup-simplify]: Simplify b into b 10.421 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.422 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.422 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 10.423 * [backup-simplify]: Simplify (- 0) into 0 10.423 * [backup-simplify]: Simplify (+ b 0) into b 10.423 * [backup-simplify]: Simplify (+ 0 b) into b 10.423 * [backup-simplify]: Simplify (* b b) into (pow b 2) 10.423 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 10.423 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 10.424 * [taylor]: Taking taylor expansion of 0.5 in a 10.424 * [backup-simplify]: Simplify 0.5 into 0.5 10.424 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 10.424 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 10.424 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 10.424 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 10.424 * [taylor]: Taking taylor expansion of 1.0 in a 10.424 * [backup-simplify]: Simplify 1.0 into 1.0 10.424 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.424 * [taylor]: Taking taylor expansion of a in a 10.424 * [backup-simplify]: Simplify 0 into 0 10.424 * [backup-simplify]: Simplify 1 into 1 10.424 * [backup-simplify]: Simplify (/ 1 1) into 1 10.424 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 10.424 * [taylor]: Taking taylor expansion of 1.0 in a 10.424 * [backup-simplify]: Simplify 1.0 into 1.0 10.424 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.424 * [taylor]: Taking taylor expansion of b in a 10.424 * [backup-simplify]: Simplify b into b 10.424 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.424 * [taylor]: Taking taylor expansion of PI in a 10.425 * [backup-simplify]: Simplify PI into PI 10.425 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 10.425 * [taylor]: Taking taylor expansion of (- b a) in a 10.425 * [taylor]: Taking taylor expansion of b in a 10.425 * [backup-simplify]: Simplify b into b 10.425 * [taylor]: Taking taylor expansion of a in a 10.425 * [backup-simplify]: Simplify 0 into 0 10.425 * [backup-simplify]: Simplify 1 into 1 10.425 * [taylor]: Taking taylor expansion of (+ a b) in a 10.425 * [taylor]: Taking taylor expansion of a in a 10.425 * [backup-simplify]: Simplify 0 into 0 10.425 * [backup-simplify]: Simplify 1 into 1 10.425 * [taylor]: Taking taylor expansion of b in a 10.425 * [backup-simplify]: Simplify b into b 10.425 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.426 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.426 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 10.427 * [backup-simplify]: Simplify (- 0) into 0 10.427 * [backup-simplify]: Simplify (+ b 0) into b 10.427 * [backup-simplify]: Simplify (+ 0 b) into b 10.427 * [backup-simplify]: Simplify (* b b) into (pow b 2) 10.427 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 10.428 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow b 2)))) into (* 0.5 (/ PI (pow b 2))) 10.428 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 10.428 * [taylor]: Taking taylor expansion of 0.5 in b 10.428 * [backup-simplify]: Simplify 0.5 into 0.5 10.428 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.428 * [taylor]: Taking taylor expansion of PI in b 10.428 * [backup-simplify]: Simplify PI into PI 10.428 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.428 * [taylor]: Taking taylor expansion of b in b 10.428 * [backup-simplify]: Simplify 0 into 0 10.428 * [backup-simplify]: Simplify 1 into 1 10.428 * [backup-simplify]: Simplify (* 1 1) into 1 10.429 * [backup-simplify]: Simplify (/ PI 1) into PI 10.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.431 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 10.431 * [backup-simplify]: Simplify 0 into 0 10.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.433 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 10.433 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 10.433 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 10.433 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 10.434 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 10.434 * [backup-simplify]: Simplify (+ 1 0) into 1 10.435 * [backup-simplify]: Simplify (- 1) into -1 10.435 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.435 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 10.436 * [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)))) 10.436 * [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)))) 10.436 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 3)))) in b 10.436 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 10.436 * [taylor]: Taking taylor expansion of 0.5 in b 10.436 * [backup-simplify]: Simplify 0.5 into 0.5 10.436 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 10.436 * [taylor]: Taking taylor expansion of PI in b 10.436 * [backup-simplify]: Simplify PI into PI 10.436 * [taylor]: Taking taylor expansion of (pow b 3) in b 10.436 * [taylor]: Taking taylor expansion of b in b 10.436 * [backup-simplify]: Simplify 0 into 0 10.436 * [backup-simplify]: Simplify 1 into 1 10.437 * [backup-simplify]: Simplify (* 1 1) into 1 10.437 * [backup-simplify]: Simplify (* 1 1) into 1 10.437 * [backup-simplify]: Simplify (/ PI 1) into PI 10.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.441 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 10.441 * [backup-simplify]: Simplify (- 0) into 0 10.441 * [backup-simplify]: Simplify 0 into 0 10.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.443 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 10.443 * [backup-simplify]: Simplify 0 into 0 10.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.444 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 10.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.444 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 10.445 * [backup-simplify]: Simplify (- 0) into 0 10.445 * [backup-simplify]: Simplify (+ 0 0) into 0 10.445 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 10.446 * [backup-simplify]: Simplify (+ 0 0) into 0 10.446 * [backup-simplify]: Simplify (- 0) into 0 10.446 * [backup-simplify]: Simplify (+ 0 0) into 0 10.446 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 10.447 * [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))) 10.447 * [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))) 10.447 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 10.448 * [taylor]: Taking taylor expansion of 0.5 in b 10.448 * [backup-simplify]: Simplify 0.5 into 0.5 10.448 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 10.448 * [taylor]: Taking taylor expansion of PI in b 10.448 * [backup-simplify]: Simplify PI into PI 10.448 * [taylor]: Taking taylor expansion of (pow b 4) in b 10.448 * [taylor]: Taking taylor expansion of b in b 10.448 * [backup-simplify]: Simplify 0 into 0 10.448 * [backup-simplify]: Simplify 1 into 1 10.448 * [backup-simplify]: Simplify (* 1 1) into 1 10.448 * [backup-simplify]: Simplify (* 1 1) into 1 10.448 * [backup-simplify]: Simplify (/ PI 1) into PI 10.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.454 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.454 * [backup-simplify]: Simplify 0 into 0 10.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.456 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.457 * [backup-simplify]: Simplify (- 0) into 0 10.457 * [backup-simplify]: Simplify 0 into 0 10.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.459 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.459 * [backup-simplify]: Simplify 0 into 0 10.459 * [backup-simplify]: Simplify 0 into 0 10.459 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI (+ (/ 1 a) (/ 1 b))) 2.0) 1.0) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 10.459 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 10.459 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 10.459 * [taylor]: Taking taylor expansion of 0.5 in b 10.459 * [backup-simplify]: Simplify 0.5 into 0.5 10.459 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 10.459 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 10.459 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 10.459 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 10.459 * [taylor]: Taking taylor expansion of 1.0 in b 10.459 * [backup-simplify]: Simplify 1.0 into 1.0 10.459 * [taylor]: Taking taylor expansion of a in b 10.459 * [backup-simplify]: Simplify a into a 10.459 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 10.459 * [taylor]: Taking taylor expansion of 1.0 in b 10.459 * [backup-simplify]: Simplify 1.0 into 1.0 10.459 * [taylor]: Taking taylor expansion of b in b 10.459 * [backup-simplify]: Simplify 0 into 0 10.459 * [backup-simplify]: Simplify 1 into 1 10.459 * [taylor]: Taking taylor expansion of PI in b 10.459 * [backup-simplify]: Simplify PI into PI 10.459 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 10.459 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.459 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.459 * [taylor]: Taking taylor expansion of a in b 10.459 * [backup-simplify]: Simplify a into a 10.459 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.459 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.459 * [taylor]: Taking taylor expansion of b in b 10.459 * [backup-simplify]: Simplify 0 into 0 10.459 * [backup-simplify]: Simplify 1 into 1 10.460 * [backup-simplify]: Simplify (/ 1 1) into 1 10.460 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 10.460 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.460 * [taylor]: Taking taylor expansion of b in b 10.460 * [backup-simplify]: Simplify 0 into 0 10.460 * [backup-simplify]: Simplify 1 into 1 10.460 * [backup-simplify]: Simplify (/ 1 1) into 1 10.460 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.460 * [taylor]: Taking taylor expansion of a in b 10.460 * [backup-simplify]: Simplify a into a 10.460 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.460 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 10.460 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.461 * [backup-simplify]: Simplify (- 0) into 0 10.461 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 10.461 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 10.461 * [backup-simplify]: Simplify (+ 0 1) into 1 10.461 * [backup-simplify]: Simplify (+ 1 0) into 1 10.462 * [backup-simplify]: Simplify (* 1 1) into 1 10.462 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 10.462 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 10.462 * [taylor]: Taking taylor expansion of 0.5 in a 10.462 * [backup-simplify]: Simplify 0.5 into 0.5 10.462 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 10.462 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 10.462 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 10.462 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.462 * [taylor]: Taking taylor expansion of 1.0 in a 10.462 * [backup-simplify]: Simplify 1.0 into 1.0 10.462 * [taylor]: Taking taylor expansion of a in a 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [backup-simplify]: Simplify 1 into 1 10.462 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.462 * [taylor]: Taking taylor expansion of 1.0 in a 10.462 * [backup-simplify]: Simplify 1.0 into 1.0 10.462 * [taylor]: Taking taylor expansion of b in a 10.462 * [backup-simplify]: Simplify b into b 10.462 * [taylor]: Taking taylor expansion of PI in a 10.462 * [backup-simplify]: Simplify PI into PI 10.462 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 10.462 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.462 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.462 * [taylor]: Taking taylor expansion of a in a 10.462 * [backup-simplify]: Simplify 0 into 0 10.462 * [backup-simplify]: Simplify 1 into 1 10.462 * [backup-simplify]: Simplify (/ 1 1) into 1 10.462 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.462 * [taylor]: Taking taylor expansion of b in a 10.462 * [backup-simplify]: Simplify b into b 10.462 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.462 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.462 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.462 * [taylor]: Taking taylor expansion of b in a 10.462 * [backup-simplify]: Simplify b into b 10.462 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.463 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.463 * [taylor]: Taking taylor expansion of a in a 10.463 * [backup-simplify]: Simplify 0 into 0 10.463 * [backup-simplify]: Simplify 1 into 1 10.463 * [backup-simplify]: Simplify (/ 1 1) into 1 10.463 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.463 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.463 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 10.463 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 10.463 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 10.464 * [backup-simplify]: Simplify (+ 1 0) into 1 10.464 * [backup-simplify]: Simplify (- 1) into -1 10.464 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.464 * [backup-simplify]: Simplify (* 1 -1) into -1 10.465 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 10.465 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 10.465 * [taylor]: Taking taylor expansion of 0.5 in a 10.465 * [backup-simplify]: Simplify 0.5 into 0.5 10.465 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 10.465 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 10.465 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 10.465 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.465 * [taylor]: Taking taylor expansion of 1.0 in a 10.465 * [backup-simplify]: Simplify 1.0 into 1.0 10.465 * [taylor]: Taking taylor expansion of a in a 10.465 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify 1 into 1 10.465 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.465 * [taylor]: Taking taylor expansion of 1.0 in a 10.465 * [backup-simplify]: Simplify 1.0 into 1.0 10.465 * [taylor]: Taking taylor expansion of b in a 10.465 * [backup-simplify]: Simplify b into b 10.465 * [taylor]: Taking taylor expansion of PI in a 10.465 * [backup-simplify]: Simplify PI into PI 10.465 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 10.465 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.465 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.465 * [taylor]: Taking taylor expansion of a in a 10.465 * [backup-simplify]: Simplify 0 into 0 10.465 * [backup-simplify]: Simplify 1 into 1 10.466 * [backup-simplify]: Simplify (/ 1 1) into 1 10.466 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.466 * [taylor]: Taking taylor expansion of b in a 10.466 * [backup-simplify]: Simplify b into b 10.466 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.466 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.466 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.466 * [taylor]: Taking taylor expansion of b in a 10.466 * [backup-simplify]: Simplify b into b 10.466 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.466 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.466 * [taylor]: Taking taylor expansion of a in a 10.466 * [backup-simplify]: Simplify 0 into 0 10.466 * [backup-simplify]: Simplify 1 into 1 10.466 * [backup-simplify]: Simplify (/ 1 1) into 1 10.467 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.467 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.467 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 10.467 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 10.467 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 10.467 * [backup-simplify]: Simplify (+ 1 0) into 1 10.468 * [backup-simplify]: Simplify (- 1) into -1 10.468 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.468 * [backup-simplify]: Simplify (* 1 -1) into -1 10.469 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 10.469 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* b PI))) into (* 0.5 (* PI b)) 10.469 * [taylor]: Taking taylor expansion of (* 0.5 (* PI b)) in b 10.469 * [taylor]: Taking taylor expansion of 0.5 in b 10.469 * [backup-simplify]: Simplify 0.5 into 0.5 10.469 * [taylor]: Taking taylor expansion of (* PI b) in b 10.469 * [taylor]: Taking taylor expansion of PI in b 10.469 * [backup-simplify]: Simplify PI into PI 10.469 * [taylor]: Taking taylor expansion of b in b 10.469 * [backup-simplify]: Simplify 0 into 0 10.469 * [backup-simplify]: Simplify 1 into 1 10.470 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 10.471 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 10.472 * [backup-simplify]: Simplify (* PI 0) into 0 10.472 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 10.473 * [backup-simplify]: Simplify 0 into 0 10.474 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 10.474 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 10.475 * [backup-simplify]: Simplify (- 0) into 0 10.475 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.476 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (* 1.0 PI)) into (* 1.0 PI) 10.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.477 * [backup-simplify]: Simplify (- 0) into 0 10.477 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 10.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.477 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.478 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 10.479 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* b PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 10.481 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI)))) into (- (* 0.5 PI)) 10.481 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in b 10.481 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 10.481 * [taylor]: Taking taylor expansion of 0.5 in b 10.481 * [backup-simplify]: Simplify 0.5 into 0.5 10.481 * [taylor]: Taking taylor expansion of PI in b 10.481 * [backup-simplify]: Simplify PI into PI 10.481 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 10.482 * [backup-simplify]: Simplify (- 0) into 0 10.482 * [backup-simplify]: Simplify 0 into 0 10.482 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.483 * [backup-simplify]: Simplify 0 into 0 10.484 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 10.484 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 10.484 * [backup-simplify]: Simplify (- 0) into 0 10.485 * [backup-simplify]: Simplify (+ 0 0) into 0 10.485 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 10.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.486 * [backup-simplify]: Simplify (- 0) into 0 10.486 * [backup-simplify]: Simplify (+ 0 0) into 0 10.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.487 * [backup-simplify]: Simplify (+ 0 0) into 0 10.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 10.491 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI b)) 10.492 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI))))) into (* 0.5 (/ PI b)) 10.492 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 10.492 * [taylor]: Taking taylor expansion of 0.5 in b 10.492 * [backup-simplify]: Simplify 0.5 into 0.5 10.492 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.492 * [taylor]: Taking taylor expansion of PI in b 10.492 * [backup-simplify]: Simplify PI into PI 10.492 * [taylor]: Taking taylor expansion of b in b 10.492 * [backup-simplify]: Simplify 0 into 0 10.492 * [backup-simplify]: Simplify 1 into 1 10.492 * [backup-simplify]: Simplify (/ PI 1) into PI 10.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.495 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.495 * [backup-simplify]: Simplify 0 into 0 10.496 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.496 * [backup-simplify]: Simplify (- 0) into 0 10.496 * [backup-simplify]: Simplify 0 into 0 10.497 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 10.498 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify 0 into 0 10.498 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) 2.0) 1.0) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 10.498 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 10.498 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 10.498 * [taylor]: Taking taylor expansion of -0.5 in b 10.498 * [backup-simplify]: Simplify -0.5 into -0.5 10.498 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 10.498 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 10.498 * [taylor]: Taking taylor expansion of PI in b 10.498 * [backup-simplify]: Simplify PI into PI 10.499 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 10.499 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 10.499 * [taylor]: Taking taylor expansion of 1.0 in b 10.499 * [backup-simplify]: Simplify 1.0 into 1.0 10.499 * [taylor]: Taking taylor expansion of b in b 10.499 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify 1 into 1 10.499 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 10.499 * [taylor]: Taking taylor expansion of 1.0 in b 10.499 * [backup-simplify]: Simplify 1.0 into 1.0 10.499 * [taylor]: Taking taylor expansion of a in b 10.499 * [backup-simplify]: Simplify a into a 10.499 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 10.499 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.499 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.499 * [taylor]: Taking taylor expansion of a in b 10.499 * [backup-simplify]: Simplify a into a 10.499 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.499 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.499 * [taylor]: Taking taylor expansion of b in b 10.499 * [backup-simplify]: Simplify 0 into 0 10.499 * [backup-simplify]: Simplify 1 into 1 10.499 * [backup-simplify]: Simplify (/ 1 1) into 1 10.499 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 10.499 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.499 * [taylor]: Taking taylor expansion of a in b 10.499 * [backup-simplify]: Simplify a into a 10.500 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.500 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.500 * [taylor]: Taking taylor expansion of b in b 10.500 * [backup-simplify]: Simplify 0 into 0 10.500 * [backup-simplify]: Simplify 1 into 1 10.500 * [backup-simplify]: Simplify (/ 1 1) into 1 10.500 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.500 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 10.500 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 10.500 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 10.501 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 10.501 * [backup-simplify]: Simplify (+ 0 1) into 1 10.501 * [backup-simplify]: Simplify (- 1) into -1 10.502 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.502 * [backup-simplify]: Simplify (* 1 -1) into -1 10.502 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 10.502 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 10.502 * [taylor]: Taking taylor expansion of -0.5 in a 10.502 * [backup-simplify]: Simplify -0.5 into -0.5 10.503 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 10.503 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 10.503 * [taylor]: Taking taylor expansion of PI in a 10.503 * [backup-simplify]: Simplify PI into PI 10.503 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 10.503 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.503 * [taylor]: Taking taylor expansion of 1.0 in a 10.503 * [backup-simplify]: Simplify 1.0 into 1.0 10.503 * [taylor]: Taking taylor expansion of b in a 10.503 * [backup-simplify]: Simplify b into b 10.503 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.503 * [taylor]: Taking taylor expansion of 1.0 in a 10.503 * [backup-simplify]: Simplify 1.0 into 1.0 10.503 * [taylor]: Taking taylor expansion of a in a 10.503 * [backup-simplify]: Simplify 0 into 0 10.503 * [backup-simplify]: Simplify 1 into 1 10.503 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 10.503 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.503 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.503 * [taylor]: Taking taylor expansion of a in a 10.503 * [backup-simplify]: Simplify 0 into 0 10.503 * [backup-simplify]: Simplify 1 into 1 10.503 * [backup-simplify]: Simplify (/ 1 1) into 1 10.503 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.503 * [taylor]: Taking taylor expansion of b in a 10.504 * [backup-simplify]: Simplify b into b 10.504 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.504 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.504 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.504 * [taylor]: Taking taylor expansion of a in a 10.504 * [backup-simplify]: Simplify 0 into 0 10.504 * [backup-simplify]: Simplify 1 into 1 10.504 * [backup-simplify]: Simplify (/ 1 1) into 1 10.504 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.504 * [taylor]: Taking taylor expansion of b in a 10.504 * [backup-simplify]: Simplify b into b 10.504 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.504 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.505 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.505 * [backup-simplify]: Simplify (- 0) into 0 10.505 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 10.505 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 10.506 * [backup-simplify]: Simplify (+ 1 0) into 1 10.506 * [backup-simplify]: Simplify (+ 1 0) into 1 10.506 * [backup-simplify]: Simplify (* 1 1) into 1 10.507 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 10.507 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 10.507 * [taylor]: Taking taylor expansion of -0.5 in a 10.507 * [backup-simplify]: Simplify -0.5 into -0.5 10.507 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 10.507 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 10.507 * [taylor]: Taking taylor expansion of PI in a 10.507 * [backup-simplify]: Simplify PI into PI 10.507 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 10.507 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.507 * [taylor]: Taking taylor expansion of 1.0 in a 10.507 * [backup-simplify]: Simplify 1.0 into 1.0 10.507 * [taylor]: Taking taylor expansion of b in a 10.507 * [backup-simplify]: Simplify b into b 10.507 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.507 * [taylor]: Taking taylor expansion of 1.0 in a 10.507 * [backup-simplify]: Simplify 1.0 into 1.0 10.507 * [taylor]: Taking taylor expansion of a in a 10.507 * [backup-simplify]: Simplify 0 into 0 10.507 * [backup-simplify]: Simplify 1 into 1 10.507 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 10.507 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.507 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.507 * [taylor]: Taking taylor expansion of a in a 10.507 * [backup-simplify]: Simplify 0 into 0 10.507 * [backup-simplify]: Simplify 1 into 1 10.508 * [backup-simplify]: Simplify (/ 1 1) into 1 10.508 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.508 * [taylor]: Taking taylor expansion of b in a 10.508 * [backup-simplify]: Simplify b into b 10.508 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.508 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.508 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.508 * [taylor]: Taking taylor expansion of a in a 10.508 * [backup-simplify]: Simplify 0 into 0 10.508 * [backup-simplify]: Simplify 1 into 1 10.508 * [backup-simplify]: Simplify (/ 1 1) into 1 10.508 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.508 * [taylor]: Taking taylor expansion of b in a 10.508 * [backup-simplify]: Simplify b into b 10.508 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.508 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.509 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.509 * [backup-simplify]: Simplify (- 0) into 0 10.509 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 10.510 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 10.510 * [backup-simplify]: Simplify (+ 1 0) into 1 10.510 * [backup-simplify]: Simplify (+ 1 0) into 1 10.511 * [backup-simplify]: Simplify (* 1 1) into 1 10.511 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 10.511 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 10.511 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 10.511 * [taylor]: Taking taylor expansion of -0.5 in b 10.511 * [backup-simplify]: Simplify -0.5 into -0.5 10.511 * [taylor]: Taking taylor expansion of (* b PI) in b 10.511 * [taylor]: Taking taylor expansion of b in b 10.511 * [backup-simplify]: Simplify 0 into 0 10.511 * [backup-simplify]: Simplify 1 into 1 10.511 * [taylor]: Taking taylor expansion of PI in b 10.511 * [backup-simplify]: Simplify PI into PI 10.512 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.514 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.514 * [backup-simplify]: Simplify (* 0 PI) into 0 10.515 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 10.515 * [backup-simplify]: Simplify 0 into 0 10.516 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 10.517 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 10.518 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.518 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 10.519 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 10.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.520 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 10.520 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 10.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.521 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.521 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 10.524 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)))) into (- (* 1.0 PI)) 10.525 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 0.5 PI) 10.525 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 10.525 * [taylor]: Taking taylor expansion of 0.5 in b 10.525 * [backup-simplify]: Simplify 0.5 into 0.5 10.525 * [taylor]: Taking taylor expansion of PI in b 10.525 * [backup-simplify]: Simplify PI into PI 10.526 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 10.526 * [backup-simplify]: Simplify 0 into 0 10.526 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.527 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.527 * [backup-simplify]: Simplify 0 into 0 10.528 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 10.528 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 10.528 * [backup-simplify]: Simplify (- 0) into 0 10.529 * [backup-simplify]: Simplify (+ 0 0) into 0 10.529 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 10.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.530 * [backup-simplify]: Simplify (- 0) into 0 10.531 * [backup-simplify]: Simplify (+ 0 0) into 0 10.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.531 * [backup-simplify]: Simplify (+ 0 0) into 0 10.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 10.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI b)) 10.534 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 0.5 (/ PI b))) 10.534 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 10.534 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 10.534 * [taylor]: Taking taylor expansion of 0.5 in b 10.534 * [backup-simplify]: Simplify 0.5 into 0.5 10.534 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.534 * [taylor]: Taking taylor expansion of PI in b 10.534 * [backup-simplify]: Simplify PI into PI 10.534 * [taylor]: Taking taylor expansion of b in b 10.534 * [backup-simplify]: Simplify 0 into 0 10.534 * [backup-simplify]: Simplify 1 into 1 10.534 * [backup-simplify]: Simplify (/ PI 1) into PI 10.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.537 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.537 * [backup-simplify]: Simplify (- 0) into 0 10.537 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.538 * [backup-simplify]: Simplify 0 into 0 10.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 10.539 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 10.539 * [backup-simplify]: Simplify 0 into 0 10.539 * [backup-simplify]: Simplify 0 into 0 10.539 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 10.539 * [backup-simplify]: Simplify (- (/ 1.0 a) (/ 1.0 b)) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 10.539 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in (a b) around 0 10.540 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 10.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 10.540 * [taylor]: Taking taylor expansion of 1.0 in b 10.540 * [backup-simplify]: Simplify 1.0 into 1.0 10.540 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.540 * [taylor]: Taking taylor expansion of a in b 10.540 * [backup-simplify]: Simplify a into a 10.540 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 10.540 * [taylor]: Taking taylor expansion of 1.0 in b 10.540 * [backup-simplify]: Simplify 1.0 into 1.0 10.540 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.540 * [taylor]: Taking taylor expansion of b in b 10.540 * [backup-simplify]: Simplify 0 into 0 10.540 * [backup-simplify]: Simplify 1 into 1 10.540 * [backup-simplify]: Simplify (/ 1 1) into 1 10.540 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 10.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 10.540 * [taylor]: Taking taylor expansion of 1.0 in a 10.540 * [backup-simplify]: Simplify 1.0 into 1.0 10.540 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.540 * [taylor]: Taking taylor expansion of a in a 10.540 * [backup-simplify]: Simplify 0 into 0 10.540 * [backup-simplify]: Simplify 1 into 1 10.540 * [backup-simplify]: Simplify (/ 1 1) into 1 10.540 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 10.541 * [taylor]: Taking taylor expansion of 1.0 in a 10.541 * [backup-simplify]: Simplify 1.0 into 1.0 10.541 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.541 * [taylor]: Taking taylor expansion of b in a 10.541 * [backup-simplify]: Simplify b into b 10.541 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.541 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 10.541 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 10.541 * [taylor]: Taking taylor expansion of 1.0 in a 10.541 * [backup-simplify]: Simplify 1.0 into 1.0 10.541 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.541 * [taylor]: Taking taylor expansion of a in a 10.541 * [backup-simplify]: Simplify 0 into 0 10.541 * [backup-simplify]: Simplify 1 into 1 10.541 * [backup-simplify]: Simplify (/ 1 1) into 1 10.541 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 10.541 * [taylor]: Taking taylor expansion of 1.0 in a 10.541 * [backup-simplify]: Simplify 1.0 into 1.0 10.541 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.541 * [taylor]: Taking taylor expansion of b in a 10.541 * [backup-simplify]: Simplify b into b 10.541 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.541 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.542 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.542 * [taylor]: Taking taylor expansion of 1.0 in b 10.542 * [backup-simplify]: Simplify 1.0 into 1.0 10.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.543 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 10.543 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 10.543 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 10.543 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 10.543 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b))) in b 10.543 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 10.543 * [taylor]: Taking taylor expansion of 1.0 in b 10.543 * [backup-simplify]: Simplify 1.0 into 1.0 10.543 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.543 * [taylor]: Taking taylor expansion of b in b 10.543 * [backup-simplify]: Simplify 0 into 0 10.543 * [backup-simplify]: Simplify 1 into 1 10.543 * [backup-simplify]: Simplify (/ 1 1) into 1 10.544 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.544 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.544 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.544 * [backup-simplify]: Simplify 1.0 into 1.0 10.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.545 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 10.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.546 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 10.546 * [backup-simplify]: Simplify (- 0) into 0 10.546 * [backup-simplify]: Simplify (+ 0 0) into 0 10.546 * [taylor]: Taking taylor expansion of 0 in b 10.546 * [backup-simplify]: Simplify 0 into 0 10.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.547 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 10.547 * [backup-simplify]: Simplify (- 0) into 0 10.547 * [backup-simplify]: Simplify 0 into 0 10.547 * [backup-simplify]: Simplify 0 into 0 10.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.549 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.549 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 10.549 * [backup-simplify]: Simplify (- 0) into 0 10.550 * [backup-simplify]: Simplify (+ 0 0) into 0 10.550 * [taylor]: Taking taylor expansion of 0 in b 10.550 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify 0 into 0 10.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.551 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 10.551 * [backup-simplify]: Simplify (- 0) into 0 10.551 * [backup-simplify]: Simplify 0 into 0 10.551 * [backup-simplify]: Simplify 0 into 0 10.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.553 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 10.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 10.555 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 10.556 * [backup-simplify]: Simplify (- 0) into 0 10.556 * [backup-simplify]: Simplify (+ 0 0) into 0 10.556 * [taylor]: Taking taylor expansion of 0 in b 10.556 * [backup-simplify]: Simplify 0 into 0 10.556 * [backup-simplify]: Simplify 0 into 0 10.557 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 a))) (* (- 1.0) (* (/ 1 b) 1))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 10.557 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) into (- (* 1.0 a) (* 1.0 b)) 10.557 * [approximate]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in (a b) around 0 10.557 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 10.557 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 10.557 * [taylor]: Taking taylor expansion of 1.0 in b 10.557 * [backup-simplify]: Simplify 1.0 into 1.0 10.557 * [taylor]: Taking taylor expansion of a in b 10.557 * [backup-simplify]: Simplify a into a 10.557 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 10.557 * [taylor]: Taking taylor expansion of 1.0 in b 10.557 * [backup-simplify]: Simplify 1.0 into 1.0 10.557 * [taylor]: Taking taylor expansion of b in b 10.557 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify 1 into 1 10.558 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 10.558 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.558 * [taylor]: Taking taylor expansion of 1.0 in a 10.558 * [backup-simplify]: Simplify 1.0 into 1.0 10.558 * [taylor]: Taking taylor expansion of a in a 10.558 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify 1 into 1 10.558 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.558 * [taylor]: Taking taylor expansion of 1.0 in a 10.558 * [backup-simplify]: Simplify 1.0 into 1.0 10.558 * [taylor]: Taking taylor expansion of b in a 10.558 * [backup-simplify]: Simplify b into b 10.558 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 10.558 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.558 * [taylor]: Taking taylor expansion of 1.0 in a 10.558 * [backup-simplify]: Simplify 1.0 into 1.0 10.558 * [taylor]: Taking taylor expansion of a in a 10.558 * [backup-simplify]: Simplify 0 into 0 10.558 * [backup-simplify]: Simplify 1 into 1 10.558 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.558 * [taylor]: Taking taylor expansion of 1.0 in a 10.558 * [backup-simplify]: Simplify 1.0 into 1.0 10.558 * [taylor]: Taking taylor expansion of b in a 10.558 * [backup-simplify]: Simplify b into b 10.559 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.559 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.559 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 10.559 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 10.559 * [taylor]: Taking taylor expansion of (- (* 1.0 b)) in b 10.559 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 10.559 * [taylor]: Taking taylor expansion of 1.0 in b 10.559 * [backup-simplify]: Simplify 1.0 into 1.0 10.559 * [taylor]: Taking taylor expansion of b in b 10.559 * [backup-simplify]: Simplify 0 into 0 10.559 * [backup-simplify]: Simplify 1 into 1 10.560 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.560 * [backup-simplify]: Simplify (- 0) into 0 10.560 * [backup-simplify]: Simplify 0 into 0 10.562 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 10.562 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 10.562 * [backup-simplify]: Simplify (- 0) into 0 10.563 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.563 * [taylor]: Taking taylor expansion of 1.0 in b 10.563 * [backup-simplify]: Simplify 1.0 into 1.0 10.563 * [backup-simplify]: Simplify 1.0 into 1.0 10.564 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 10.565 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.565 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.566 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 10.567 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 10.567 * [backup-simplify]: Simplify (- 0) into 0 10.568 * [backup-simplify]: Simplify (+ 0 0) into 0 10.568 * [taylor]: Taking taylor expansion of 0 in b 10.568 * [backup-simplify]: Simplify 0 into 0 10.568 * [backup-simplify]: Simplify 0 into 0 10.568 * [backup-simplify]: Simplify 0 into 0 10.569 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 10.569 * [backup-simplify]: Simplify (- 0) into 0 10.569 * [backup-simplify]: Simplify 0 into 0 10.571 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.572 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 10.572 * [backup-simplify]: Simplify (- 0) into 0 10.572 * [backup-simplify]: Simplify (+ 0 0) into 0 10.572 * [taylor]: Taking taylor expansion of 0 in b 10.572 * [backup-simplify]: Simplify 0 into 0 10.572 * [backup-simplify]: Simplify 0 into 0 10.573 * [backup-simplify]: Simplify 0 into 0 10.573 * [backup-simplify]: Simplify 0 into 0 10.573 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 b) 1)) (* 1.0 (* 1 (/ 1 a)))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 10.573 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) into (- (* 1.0 b) (* 1.0 a)) 10.573 * [approximate]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in (a b) around 0 10.573 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 10.574 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 10.574 * [taylor]: Taking taylor expansion of 1.0 in b 10.574 * [backup-simplify]: Simplify 1.0 into 1.0 10.574 * [taylor]: Taking taylor expansion of b in b 10.574 * [backup-simplify]: Simplify 0 into 0 10.574 * [backup-simplify]: Simplify 1 into 1 10.574 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 10.574 * [taylor]: Taking taylor expansion of 1.0 in b 10.574 * [backup-simplify]: Simplify 1.0 into 1.0 10.574 * [taylor]: Taking taylor expansion of a in b 10.574 * [backup-simplify]: Simplify a into a 10.574 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 10.574 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.574 * [taylor]: Taking taylor expansion of 1.0 in a 10.574 * [backup-simplify]: Simplify 1.0 into 1.0 10.574 * [taylor]: Taking taylor expansion of b in a 10.574 * [backup-simplify]: Simplify b into b 10.574 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.574 * [taylor]: Taking taylor expansion of 1.0 in a 10.574 * [backup-simplify]: Simplify 1.0 into 1.0 10.574 * [taylor]: Taking taylor expansion of a in a 10.574 * [backup-simplify]: Simplify 0 into 0 10.574 * [backup-simplify]: Simplify 1 into 1 10.574 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 10.574 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.574 * [taylor]: Taking taylor expansion of 1.0 in a 10.574 * [backup-simplify]: Simplify 1.0 into 1.0 10.574 * [taylor]: Taking taylor expansion of b in a 10.574 * [backup-simplify]: Simplify b into b 10.574 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.574 * [taylor]: Taking taylor expansion of 1.0 in a 10.574 * [backup-simplify]: Simplify 1.0 into 1.0 10.574 * [taylor]: Taking taylor expansion of a in a 10.574 * [backup-simplify]: Simplify 0 into 0 10.574 * [backup-simplify]: Simplify 1 into 1 10.575 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.575 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.575 * [backup-simplify]: Simplify (- 0) into 0 10.575 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 10.576 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 10.576 * [taylor]: Taking taylor expansion of 1.0 in b 10.576 * [backup-simplify]: Simplify 1.0 into 1.0 10.576 * [taylor]: Taking taylor expansion of b in b 10.576 * [backup-simplify]: Simplify 0 into 0 10.576 * [backup-simplify]: Simplify 1 into 1 10.576 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.576 * [backup-simplify]: Simplify 0 into 0 10.577 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 10.578 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 10.578 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.579 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 10.579 * [taylor]: Taking taylor expansion of (- 1.0) in b 10.579 * [taylor]: Taking taylor expansion of 1.0 in b 10.579 * [backup-simplify]: Simplify 1.0 into 1.0 10.580 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.580 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.582 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 10.582 * [backup-simplify]: Simplify 1.0 into 1.0 10.583 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 10.584 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 10.584 * [backup-simplify]: Simplify (- 0) into 0 10.585 * [backup-simplify]: Simplify (+ 0 0) into 0 10.585 * [taylor]: Taking taylor expansion of 0 in b 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.585 * [backup-simplify]: Simplify (- 0) into 0 10.585 * [backup-simplify]: Simplify 0 into 0 10.586 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 10.586 * [backup-simplify]: Simplify 0 into 0 10.588 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 10.589 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 10.589 * [backup-simplify]: Simplify (- 0) into 0 10.589 * [backup-simplify]: Simplify (+ 0 0) into 0 10.589 * [taylor]: Taking taylor expansion of 0 in b 10.589 * [backup-simplify]: Simplify 0 into 0 10.589 * [backup-simplify]: Simplify 0 into 0 10.589 * [backup-simplify]: Simplify 0 into 0 10.589 * [backup-simplify]: Simplify (- 0) into 0 10.589 * [backup-simplify]: Simplify 0 into 0 10.590 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- b)) 1)) (* (- 1.0) (* 1 (/ 1 (- a))))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 10.590 * * * [progress]: simplifying candidates 10.592 * [simplify]: Simplifying: (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (- (log PI) (log (+ a b))) (log 2.0)) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI (+ a b))) (log 2.0)) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI (+ a b)) 2.0)) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ (/ PI (+ a b)) 2.0) 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 2.0 2.0) 2.0)) (* (* 1.0 1.0) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b))) (* (* 2.0 2.0) 2.0)) (* (* 1.0 1.0) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI (+ a b)) 2.0) (/ (/ PI (+ a b)) 2.0)) (/ (/ PI (+ a b)) 2.0)) (* (* 1.0 1.0) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (* (/ (/ PI (+ a b)) 2.0) 1.0)) (* (/ (/ PI (+ a b)) 2.0) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (cbrt (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b))))) (cbrt (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI (+ a b)) 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 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(cbrt PI) (sqrt (+ a b))) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ a b)) (* (cbrt PI) (cbrt PI)) (/ (cbrt PI) (+ a b)) (/ (/ (sqrt PI) (cbrt (+ a b))) (cbrt (+ a b))) (/ (sqrt PI) (cbrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (/ (sqrt PI) (sqrt (+ a b))) (sqrt PI) (/ (sqrt PI) (+ a b)) (sqrt PI) (/ (sqrt PI) (+ a b)) (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) (/ PI (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ PI (sqrt (+ a b))) 1 (/ PI (+ a b)) 1 (/ PI (+ a b)) (/ 1 (+ a b)) (/ (+ a b) PI) (/ (/ PI (cbrt (+ a b))) (cbrt (+ a b))) (/ PI (sqrt (+ a b))) PI PI (/ (+ a b) (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ (+ a b) PI) (/ PI (+ (* b (* b b)) (* (* a a) a))) (/ PI (* (+ a b) (- a b))) (log (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (/ (* (* (* (/ (* (/ PI (+ a b)) (/ PI (+ a b))) 2.0) (/ (/ PI (+ a b)) (* 2.0 2.0))) (* 1.0 1.0)) 1.0) (* (* (/ (- b a) (- (/ 1.0 a) (/ 1.0 b))) (/ (- b a) (- (/ 1.0 a) (/ 1.0 b)))) (/ (- b a) (- (/ 1.0 a) (/ 1.0 b))))) (* (/ (/ PI (* (+ a b) 2.0)) (/ (- b a) (- (/ 1.0 a) (/ 1.0 b)))) (/ (* (/ PI (* (+ a b) 2.0)) (* (* (/ PI (* (+ a b) 2.0)) (* 1.0 1.0)) 1.0)) (* (/ (- b a) (- (/ 1.0 a) (/ 1.0 b))) (/ (- b a) (- (/ 1.0 a) (/ 1.0 b)))))) (* (/ (/ PI (* (+ a b) 2.0)) (/ (- b a) (- (/ 1.0 a) (/ 1.0 b)))) (/ (* (/ PI (* (+ a b) 2.0)) (* (* (/ PI (* (+ a b) 2.0)) (* 1.0 1.0)) 1.0)) (* (/ (- b a) (- (/ 1.0 a) (/ 1.0 b))) (/ (- b a) (- (/ 1.0 a) (/ 1.0 b)))))) (* (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b))) (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b))))) (* (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b))) (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b))))) (* (cbrt (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b))))) (cbrt (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b))) (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b))))) (sqrt (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (* (- (/ 1.0 a) (/ 1.0 b)) (- (* (/ PI (+ a b)) (/ 1.0 2.0)))) (- (- b a)) (* (/ 1.0 (cbrt (- b a))) (/ (/ PI (* (+ a b) 2.0)) (cbrt (- b a)))) (/ (- (/ 1.0 a) (/ 1.0 b)) (cbrt (- b a))) (* (/ (/ PI (* (+ a b) 2.0)) (sqrt (- b a))) 1.0) (/ (- (/ 1.0 a) (/ 1.0 b)) (sqrt (- b a))) (* (/ PI (+ a b)) (/ 1.0 2.0)) (/ (- (/ 1.0 a) (/ 1.0 b)) (- b a)) (* (/ (/ PI (* (+ a b) 2.0)) (+ (sqrt b) (sqrt a))) 1.0) (/ (- (/ 1.0 a) (/ 1.0 b)) (- (sqrt b) (sqrt a))) (* (/ PI (+ a b)) (/ 1.0 2.0)) (/ (- (/ 1.0 a) (/ 1.0 b)) (- b a)) (/ 1 (- b a)) (/ (/ (- b a) (* (/ PI (+ a b)) (/ 1.0 2.0))) (- (/ 1.0 a) (/ 1.0 b))) (* (/ (* (/ PI (* (+ a b) 2.0)) (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- b a))) (/ 1.0 (cbrt (- b a)))) (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (/ (sqrt (- b a)) (- (/ 1.0 a) (/ 1.0 b)))) (* (/ PI (* (+ a b) 2.0)) (* (- (/ 1.0 a) (/ 1.0 b)) 1.0)) (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (/ (+ (sqrt b) (sqrt a)) (- (/ 1.0 a) (/ 1.0 b)))) (* (/ PI (* (+ a b) 2.0)) (* (- (/ 1.0 a) (/ 1.0 b)) 1.0)) (/ (- b a) (- (/ 1.0 a) (/ 1.0 b))) (* (/ (* (/ PI (+ a b)) (/ 1.0 2.0)) (- (* b (* b b)) (* (* a a) a))) (- (/ 1.0 a) (/ 1.0 b))) (* (/ (* (/ PI (* (+ a b) 2.0)) (- (/ 1.0 a) (/ 1.0 b))) (+ a b)) (/ 1.0 (- b a))) (* (* (- b a) (* 2.0 a)) b) (* (* (- b a) 2.0) (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 a) (/ 1.0 b))))) (* 2.0 (* (+ (/ 1.0 b) (/ 1.0 a)) (- b a))) (* (* b a) (- b a)) (* (+ (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (+ (/ 1.0 a) (/ 1.0 b)))) (- b a)) (* (- b a) (+ (/ 1.0 b) (/ 1.0 a))) (* (- b a) 2.0) (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 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 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) (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) (/ (* 0.5 PI) (* b a)) (/ (/ (* -0.5 PI) a) b) (/ (/ (* -0.5 PI) a) b) 0 0 0 0 0 0 (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) 12.623 * * * [progress]: adding candidates to table 13.428 * * [progress]: iteration 4 / 4 13.428 * * * [progress]: picking best candidate 13.500 * * * * [pick]: Picked # 13.500 * * * [progress]: localizing error 13.545 * * * [progress]: generating rewritten candidates 13.545 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 13.708 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 13.746 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2) 13.755 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 13.911 * * * [progress]: generating series expansions 13.911 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 13.912 * [backup-simplify]: Simplify (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b))) into (* 0.5 (/ (* (- b a) PI) (* a (* (+ a b) b)))) 13.912 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (* a (* (+ a b) b)))) in (b a) around 0 13.912 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (* a (* (+ a b) b)))) in a 13.912 * [taylor]: Taking taylor expansion of 0.5 in a 13.912 * [backup-simplify]: Simplify 0.5 into 0.5 13.912 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in a 13.912 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 13.912 * [taylor]: Taking taylor expansion of (- b a) in a 13.912 * [taylor]: Taking taylor expansion of b in a 13.912 * [backup-simplify]: Simplify b into b 13.912 * [taylor]: Taking taylor expansion of a in a 13.912 * [backup-simplify]: Simplify 0 into 0 13.912 * [backup-simplify]: Simplify 1 into 1 13.912 * [taylor]: Taking taylor expansion of PI in a 13.912 * [backup-simplify]: Simplify PI into PI 13.912 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 13.912 * [taylor]: Taking taylor expansion of a in a 13.912 * [backup-simplify]: Simplify 0 into 0 13.912 * [backup-simplify]: Simplify 1 into 1 13.912 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 13.912 * [taylor]: Taking taylor expansion of (+ a b) in a 13.912 * [taylor]: Taking taylor expansion of a in a 13.912 * [backup-simplify]: Simplify 0 into 0 13.912 * [backup-simplify]: Simplify 1 into 1 13.913 * [taylor]: Taking taylor expansion of b in a 13.913 * [backup-simplify]: Simplify b into b 13.913 * [taylor]: Taking taylor expansion of b in a 13.913 * [backup-simplify]: Simplify b into b 13.913 * [backup-simplify]: Simplify (- 0) into 0 13.913 * [backup-simplify]: Simplify (+ b 0) into b 13.913 * [backup-simplify]: Simplify (* b PI) into (* PI b) 13.913 * [backup-simplify]: Simplify (+ 0 b) into b 13.913 * [backup-simplify]: Simplify (* b b) into (pow b 2) 13.914 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 13.914 * [backup-simplify]: Simplify (+ 1 0) into 1 13.914 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 13.914 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 13.915 * [backup-simplify]: Simplify (/ (* PI b) (pow b 2)) into (/ PI b) 13.915 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (* a (* (+ a b) b)))) in b 13.915 * [taylor]: Taking taylor expansion of 0.5 in b 13.915 * [backup-simplify]: Simplify 0.5 into 0.5 13.915 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in b 13.915 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 13.915 * [taylor]: Taking taylor expansion of (- b a) in b 13.915 * [taylor]: Taking taylor expansion of b in b 13.915 * [backup-simplify]: Simplify 0 into 0 13.915 * [backup-simplify]: Simplify 1 into 1 13.915 * [taylor]: Taking taylor expansion of a in b 13.915 * [backup-simplify]: Simplify a into a 13.915 * [taylor]: Taking taylor expansion of PI in b 13.915 * [backup-simplify]: Simplify PI into PI 13.915 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 13.915 * [taylor]: Taking taylor expansion of a in b 13.915 * [backup-simplify]: Simplify a into a 13.915 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 13.915 * [taylor]: Taking taylor expansion of (+ a b) in b 13.915 * [taylor]: Taking taylor expansion of a in b 13.915 * [backup-simplify]: Simplify a into a 13.915 * [taylor]: Taking taylor expansion of b in b 13.915 * [backup-simplify]: Simplify 0 into 0 13.915 * [backup-simplify]: Simplify 1 into 1 13.915 * [taylor]: Taking taylor expansion of b in b 13.915 * [backup-simplify]: Simplify 0 into 0 13.915 * [backup-simplify]: Simplify 1 into 1 13.915 * [backup-simplify]: Simplify (- a) into (- a) 13.915 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 13.915 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 13.915 * [backup-simplify]: Simplify (+ a 0) into a 13.916 * [backup-simplify]: Simplify (* a 0) into 0 13.916 * [backup-simplify]: Simplify (* a 0) into 0 13.916 * [backup-simplify]: Simplify (+ 0 1) into 1 13.916 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 13.917 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 13.917 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) (pow a 2)) into (* -1 (/ PI a)) 13.917 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (* a (* (+ a b) b)))) in b 13.917 * [taylor]: Taking taylor expansion of 0.5 in b 13.917 * [backup-simplify]: Simplify 0.5 into 0.5 13.917 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* a (* (+ a b) b))) in b 13.917 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 13.917 * [taylor]: Taking taylor expansion of (- b a) in b 13.917 * [taylor]: Taking taylor expansion of b in b 13.917 * [backup-simplify]: Simplify 0 into 0 13.917 * [backup-simplify]: Simplify 1 into 1 13.917 * [taylor]: Taking taylor expansion of a in b 13.917 * [backup-simplify]: Simplify a into a 13.918 * [taylor]: Taking taylor expansion of PI in b 13.918 * [backup-simplify]: Simplify PI into PI 13.918 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 13.918 * [taylor]: Taking taylor expansion of a in b 13.918 * [backup-simplify]: Simplify a into a 13.918 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 13.918 * [taylor]: Taking taylor expansion of (+ a b) in b 13.918 * [taylor]: Taking taylor expansion of a in b 13.918 * [backup-simplify]: Simplify a into a 13.918 * [taylor]: Taking taylor expansion of b in b 13.918 * [backup-simplify]: Simplify 0 into 0 13.918 * [backup-simplify]: Simplify 1 into 1 13.918 * [taylor]: Taking taylor expansion of b in b 13.918 * [backup-simplify]: Simplify 0 into 0 13.918 * [backup-simplify]: Simplify 1 into 1 13.918 * [backup-simplify]: Simplify (- a) into (- a) 13.918 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 13.918 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 13.918 * [backup-simplify]: Simplify (+ a 0) into a 13.918 * [backup-simplify]: Simplify (* a 0) into 0 13.918 * [backup-simplify]: Simplify (* a 0) into 0 13.919 * [backup-simplify]: Simplify (+ 0 1) into 1 13.919 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 13.920 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 13.920 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) (pow a 2)) into (* -1 (/ PI a)) 13.920 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI a))) into (* -0.5 (/ PI a)) 13.920 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI a)) in a 13.920 * [taylor]: Taking taylor expansion of -0.5 in a 13.920 * [backup-simplify]: Simplify -0.5 into -0.5 13.920 * [taylor]: Taking taylor expansion of (/ PI a) in a 13.920 * [taylor]: Taking taylor expansion of PI in a 13.920 * [backup-simplify]: Simplify PI into PI 13.920 * [taylor]: Taking taylor expansion of a in a 13.920 * [backup-simplify]: Simplify 0 into 0 13.920 * [backup-simplify]: Simplify 1 into 1 13.921 * [backup-simplify]: Simplify (/ PI 1) into PI 13.921 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 13.922 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 13.922 * [backup-simplify]: Simplify (- 0) into 0 13.922 * [backup-simplify]: Simplify (+ 1 0) into 1 13.923 * [backup-simplify]: Simplify (+ (* (- a) 0) (* 1 PI)) into PI 13.923 * [backup-simplify]: Simplify (+ 0 0) into 0 13.924 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 0))) into 1 13.925 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 a) (* 0 0))) into a 13.925 * [backup-simplify]: Simplify (- (/ PI (pow a 2)) (+ (* (* -1 (/ PI a)) (/ a (pow a 2))))) into (* 2 (/ PI (pow a 2))) 13.925 * [backup-simplify]: Simplify (+ (* 0.5 (* 2 (/ PI (pow a 2)))) (* 0 (* -1 (/ PI a)))) into (* 1.0 (/ PI (pow a 2))) 13.925 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 13.925 * [taylor]: Taking taylor expansion of 1.0 in a 13.925 * [backup-simplify]: Simplify 1.0 into 1.0 13.925 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 13.926 * [taylor]: Taking taylor expansion of PI in a 13.926 * [backup-simplify]: Simplify PI into PI 13.926 * [taylor]: Taking taylor expansion of (pow a 2) in a 13.926 * [taylor]: Taking taylor expansion of a in a 13.926 * [backup-simplify]: Simplify 0 into 0 13.926 * [backup-simplify]: Simplify 1 into 1 13.926 * [backup-simplify]: Simplify (* 1 1) into 1 13.927 * [backup-simplify]: Simplify (/ PI 1) into PI 13.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.929 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 13.929 * [backup-simplify]: Simplify 0 into 0 13.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.931 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 13.931 * [backup-simplify]: Simplify 0 into 0 13.931 * [backup-simplify]: Simplify (- 0) into 0 13.931 * [backup-simplify]: Simplify (+ 0 0) into 0 13.932 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (* 0 PI))) into 0 13.933 * [backup-simplify]: Simplify (+ 0 0) into 0 13.934 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 13.934 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (+ (* 0 a) (* 0 0)))) into 0 13.935 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (* -1 (/ PI a)) (/ 0 (pow a 2))) (* (* 2 (/ PI (pow a 2))) (/ a (pow a 2))))) into (- (* 2 (/ PI (pow a 3)))) 13.936 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ PI (pow a 3))))) (+ (* 0 (* 2 (/ PI (pow a 2)))) (* 0 (* -1 (/ PI a))))) into (- (* 1.0 (/ PI (pow a 3)))) 13.936 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 13.936 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 13.936 * [taylor]: Taking taylor expansion of 1.0 in a 13.936 * [backup-simplify]: Simplify 1.0 into 1.0 13.936 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 13.936 * [taylor]: Taking taylor expansion of PI in a 13.936 * [backup-simplify]: Simplify PI into PI 13.936 * [taylor]: Taking taylor expansion of (pow a 3) in a 13.936 * [taylor]: Taking taylor expansion of a in a 13.936 * [backup-simplify]: Simplify 0 into 0 13.936 * [backup-simplify]: Simplify 1 into 1 13.936 * [backup-simplify]: Simplify (* 1 1) into 1 13.937 * [backup-simplify]: Simplify (* 1 1) into 1 13.937 * [backup-simplify]: Simplify (/ PI 1) into PI 13.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.943 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.944 * [backup-simplify]: Simplify (- 0) into 0 13.944 * [backup-simplify]: Simplify 0 into 0 13.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.947 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 13.947 * [backup-simplify]: Simplify 0 into 0 13.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.949 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 13.949 * [backup-simplify]: Simplify 0 into 0 13.950 * [backup-simplify]: Simplify (- 0) into 0 13.950 * [backup-simplify]: Simplify (+ 0 0) into 0 13.952 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 13.952 * [backup-simplify]: Simplify (+ 0 0) into 0 13.953 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 13.954 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 a) (* 0 0))))) into 0 13.956 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (* -1 (/ PI a)) (/ 0 (pow a 2))) (* (* 2 (/ PI (pow a 2))) (/ 0 (pow a 2))) (* (- (* 2 (/ PI (pow a 3)))) (/ a (pow a 2))))) into (* 2 (/ PI (pow a 4))) 13.956 * [backup-simplify]: Simplify (+ (* 0.5 (* 2 (/ PI (pow a 4)))) (+ (* 0 (- (* 2 (/ PI (pow a 3))))) (+ (* 0 (* 2 (/ PI (pow a 2)))) (* 0 (* -1 (/ PI a)))))) into (* 1.0 (/ PI (pow a 4))) 13.956 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 4))) in a 13.956 * [taylor]: Taking taylor expansion of 1.0 in a 13.956 * [backup-simplify]: Simplify 1.0 into 1.0 13.956 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 13.956 * [taylor]: Taking taylor expansion of PI in a 13.956 * [backup-simplify]: Simplify PI into PI 13.956 * [taylor]: Taking taylor expansion of (pow a 4) in a 13.957 * [taylor]: Taking taylor expansion of a in a 13.957 * [backup-simplify]: Simplify 0 into 0 13.957 * [backup-simplify]: Simplify 1 into 1 13.957 * [backup-simplify]: Simplify (* 1 1) into 1 13.957 * [backup-simplify]: Simplify (* 1 1) into 1 13.958 * [backup-simplify]: Simplify (/ PI 1) into PI 13.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 13.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 13.963 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 13.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 13.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.967 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 13.967 * [backup-simplify]: Simplify 0 into 0 13.968 * [backup-simplify]: Simplify (* (* -0.5 PI) (* (/ 1 a) (/ 1 b))) into (* -0.5 (/ PI (* a b))) 13.969 * [backup-simplify]: Simplify (/ (* (* (* 1.0 (- (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 a) (/ 1 b)))) 1.0) (* 2.0 (* (/ 1 a) (/ 1 b)))) into (* 0.5 (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b)))) 13.969 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 13.969 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b)))) in a 13.969 * [taylor]: Taking taylor expansion of 0.5 in a 13.969 * [backup-simplify]: Simplify 0.5 into 0.5 13.969 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b))) in a 13.969 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) in a 13.969 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 13.969 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.969 * [taylor]: Taking taylor expansion of b in a 13.969 * [backup-simplify]: Simplify b into b 13.969 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.969 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.969 * [taylor]: Taking taylor expansion of a in a 13.969 * [backup-simplify]: Simplify 0 into 0 13.969 * [backup-simplify]: Simplify 1 into 1 13.969 * [backup-simplify]: Simplify (/ 1 1) into 1 13.970 * [taylor]: Taking taylor expansion of (* b (* PI a)) in a 13.970 * [taylor]: Taking taylor expansion of b in a 13.970 * [backup-simplify]: Simplify b into b 13.970 * [taylor]: Taking taylor expansion of (* PI a) in a 13.970 * [taylor]: Taking taylor expansion of PI in a 13.970 * [backup-simplify]: Simplify PI into PI 13.970 * [taylor]: Taking taylor expansion of a in a 13.970 * [backup-simplify]: Simplify 0 into 0 13.970 * [backup-simplify]: Simplify 1 into 1 13.970 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 13.970 * [taylor]: Taking taylor expansion of (/ 1 a) in a 13.970 * [taylor]: Taking taylor expansion of a in a 13.970 * [backup-simplify]: Simplify 0 into 0 13.970 * [backup-simplify]: Simplify 1 into 1 13.970 * [backup-simplify]: Simplify (/ 1 1) into 1 13.970 * [taylor]: Taking taylor expansion of (/ 1 b) in a 13.970 * [taylor]: Taking taylor expansion of b in a 13.970 * [backup-simplify]: Simplify b into b 13.970 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 13.971 * [backup-simplify]: Simplify (- 1) into -1 13.971 * [backup-simplify]: Simplify (+ 0 -1) into -1 13.972 * [backup-simplify]: Simplify (* PI 0) into 0 13.972 * [backup-simplify]: Simplify (* b 0) into 0 13.972 * [backup-simplify]: Simplify (* -1 0) into 0 13.974 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 13.974 * [backup-simplify]: Simplify (+ (* b PI) (* 0 0)) into (* b PI) 13.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.975 * [backup-simplify]: Simplify (- 0) into 0 13.975 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 13.975 * [backup-simplify]: Simplify (+ (* -1 (* b PI)) (* (/ 1 b) 0)) into (- (* b PI)) 13.976 * [backup-simplify]: Simplify (+ 1 0) into 1 13.976 * [backup-simplify]: Simplify (/ (- (* b PI)) 1) into (* -1 (* PI b)) 13.976 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b)))) in b 13.976 * [taylor]: Taking taylor expansion of 0.5 in b 13.976 * [backup-simplify]: Simplify 0.5 into 0.5 13.976 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b))) in b 13.976 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) in b 13.976 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 13.976 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.976 * [taylor]: Taking taylor expansion of b in b 13.976 * [backup-simplify]: Simplify 0 into 0 13.976 * [backup-simplify]: Simplify 1 into 1 13.977 * [backup-simplify]: Simplify (/ 1 1) into 1 13.977 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.977 * [taylor]: Taking taylor expansion of a in b 13.977 * [backup-simplify]: Simplify a into a 13.977 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.977 * [taylor]: Taking taylor expansion of (* b (* PI a)) in b 13.977 * [taylor]: Taking taylor expansion of b in b 13.977 * [backup-simplify]: Simplify 0 into 0 13.977 * [backup-simplify]: Simplify 1 into 1 13.977 * [taylor]: Taking taylor expansion of (* PI a) in b 13.977 * [taylor]: Taking taylor expansion of PI in b 13.977 * [backup-simplify]: Simplify PI into PI 13.977 * [taylor]: Taking taylor expansion of a in b 13.977 * [backup-simplify]: Simplify a into a 13.977 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.977 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.977 * [taylor]: Taking taylor expansion of a in b 13.977 * [backup-simplify]: Simplify a into a 13.977 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.977 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.977 * [taylor]: Taking taylor expansion of b in b 13.977 * [backup-simplify]: Simplify 0 into 0 13.977 * [backup-simplify]: Simplify 1 into 1 13.978 * [backup-simplify]: Simplify (/ 1 1) into 1 13.978 * [backup-simplify]: Simplify (+ 1 0) into 1 13.978 * [backup-simplify]: Simplify (* PI a) into (* a PI) 13.978 * [backup-simplify]: Simplify (* 0 (* a PI)) into 0 13.979 * [backup-simplify]: Simplify (* 1 0) into 0 13.979 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 a)) into 0 13.979 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* a PI))) into (* a PI) 13.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.980 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 13.980 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 13.981 * [backup-simplify]: Simplify (+ (* 1 (* a PI)) (* (- (/ 1 a)) 0)) into (* a PI) 13.981 * [backup-simplify]: Simplify (+ 0 1) into 1 13.981 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 13.981 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b)))) in b 13.981 * [taylor]: Taking taylor expansion of 0.5 in b 13.981 * [backup-simplify]: Simplify 0.5 into 0.5 13.981 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) (+ (/ 1 a) (/ 1 b))) in b 13.981 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (* b (* PI a))) in b 13.981 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 13.981 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.981 * [taylor]: Taking taylor expansion of b in b 13.981 * [backup-simplify]: Simplify 0 into 0 13.981 * [backup-simplify]: Simplify 1 into 1 13.982 * [backup-simplify]: Simplify (/ 1 1) into 1 13.982 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.982 * [taylor]: Taking taylor expansion of a in b 13.982 * [backup-simplify]: Simplify a into a 13.982 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.982 * [taylor]: Taking taylor expansion of (* b (* PI a)) in b 13.982 * [taylor]: Taking taylor expansion of b in b 13.982 * [backup-simplify]: Simplify 0 into 0 13.982 * [backup-simplify]: Simplify 1 into 1 13.982 * [taylor]: Taking taylor expansion of (* PI a) in b 13.982 * [taylor]: Taking taylor expansion of PI in b 13.982 * [backup-simplify]: Simplify PI into PI 13.982 * [taylor]: Taking taylor expansion of a in b 13.982 * [backup-simplify]: Simplify a into a 13.982 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 13.982 * [taylor]: Taking taylor expansion of (/ 1 a) in b 13.982 * [taylor]: Taking taylor expansion of a in b 13.982 * [backup-simplify]: Simplify a into a 13.982 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 13.982 * [taylor]: Taking taylor expansion of (/ 1 b) in b 13.982 * [taylor]: Taking taylor expansion of b in b 13.982 * [backup-simplify]: Simplify 0 into 0 13.982 * [backup-simplify]: Simplify 1 into 1 13.983 * [backup-simplify]: Simplify (/ 1 1) into 1 13.983 * [backup-simplify]: Simplify (+ 1 0) into 1 13.983 * [backup-simplify]: Simplify (* PI a) into (* a PI) 13.983 * [backup-simplify]: Simplify (* 0 (* a PI)) into 0 13.984 * [backup-simplify]: Simplify (* 1 0) into 0 13.984 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 a)) into 0 13.985 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* a PI))) into (* a PI) 13.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.985 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 13.986 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 13.986 * [backup-simplify]: Simplify (+ (* 1 (* a PI)) (* (- (/ 1 a)) 0)) into (* a PI) 13.986 * [backup-simplify]: Simplify (+ 0 1) into 1 13.986 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 13.986 * [backup-simplify]: Simplify (* 0.5 (* a PI)) into (* 0.5 (* a PI)) 13.986 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 13.987 * [taylor]: Taking taylor expansion of 0.5 in a 13.987 * [backup-simplify]: Simplify 0.5 into 0.5 13.987 * [taylor]: Taking taylor expansion of (* a PI) in a 13.987 * [taylor]: Taking taylor expansion of a in a 13.987 * [backup-simplify]: Simplify 0 into 0 13.987 * [backup-simplify]: Simplify 1 into 1 13.987 * [taylor]: Taking taylor expansion of PI in a 13.987 * [backup-simplify]: Simplify PI into PI 13.988 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 13.989 * [backup-simplify]: Simplify (* 0 PI) into 0 13.990 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 13.991 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 13.992 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 a))) into 0 13.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* a PI)))) into 0 13.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 13.994 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 13.994 * [backup-simplify]: Simplify (- 0) into 0 13.995 * [backup-simplify]: Simplify (+ 0 0) into 0 13.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (* a PI)) (* 0 0))) into (- PI) 13.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 13.997 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 13.998 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- (* 2 PI)) 14.000 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 PI))) (* 0 (* a PI))) into (- (* 1.0 PI)) 14.000 * [taylor]: Taking taylor expansion of (- (* 1.0 PI)) in a 14.000 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 14.000 * [taylor]: Taking taylor expansion of 1.0 in a 14.000 * [backup-simplify]: Simplify 1.0 into 1.0 14.000 * [taylor]: Taking taylor expansion of PI in a 14.000 * [backup-simplify]: Simplify PI into PI 14.001 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 14.001 * [backup-simplify]: Simplify (- 0) into 0 14.001 * [backup-simplify]: Simplify 0 into 0 14.003 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 14.004 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 14.004 * [backup-simplify]: Simplify 0 into 0 14.005 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 14.005 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* a PI))))) into 0 14.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.006 * [backup-simplify]: Simplify (- 0) into 0 14.007 * [backup-simplify]: Simplify (+ 0 0) into 0 14.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 (* a PI)) (* 0 0)))) into 0 14.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.008 * [backup-simplify]: Simplify (+ 0 0) into 0 14.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 a) 1)))) into (* 2 (/ PI a)) 14.014 * [backup-simplify]: Simplify (+ (* 0.5 (* 2 (/ PI a))) (+ (* 0 (- (* 2 PI))) (* 0 (* a PI)))) into (* 1.0 (/ PI a)) 14.014 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 14.014 * [taylor]: Taking taylor expansion of 1.0 in a 14.014 * [backup-simplify]: Simplify 1.0 into 1.0 14.014 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.014 * [taylor]: Taking taylor expansion of PI in a 14.014 * [backup-simplify]: Simplify PI into PI 14.014 * [taylor]: Taking taylor expansion of a in a 14.014 * [backup-simplify]: Simplify 0 into 0 14.014 * [backup-simplify]: Simplify 1 into 1 14.015 * [backup-simplify]: Simplify (/ PI 1) into PI 14.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.016 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.016 * [backup-simplify]: Simplify 0 into 0 14.017 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.017 * [backup-simplify]: Simplify (- 0) into 0 14.017 * [backup-simplify]: Simplify 0 into 0 14.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.019 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.019 * [backup-simplify]: Simplify 0 into 0 14.020 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 14.021 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* a PI)))))) into 0 14.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.022 * [backup-simplify]: Simplify (- 0) into 0 14.022 * [backup-simplify]: Simplify (+ 0 0) into 0 14.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 (* a PI)) (* 0 0))))) into 0 14.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.023 * [backup-simplify]: Simplify (+ 0 0) into 0 14.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- (* 2 PI)) (/ 0 1)) (* (* 2 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 2)))) 14.026 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (+ (* 0 (- (* 2 PI))) (* 0 (* a PI))))) into (- (* 1.0 (/ PI (pow a 2)))) 14.026 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 14.026 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 14.026 * [taylor]: Taking taylor expansion of 1.0 in a 14.026 * [backup-simplify]: Simplify 1.0 into 1.0 14.026 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.026 * [taylor]: Taking taylor expansion of PI in a 14.026 * [backup-simplify]: Simplify PI into PI 14.026 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.026 * [taylor]: Taking taylor expansion of a in a 14.026 * [backup-simplify]: Simplify 0 into 0 14.026 * [backup-simplify]: Simplify 1 into 1 14.026 * [backup-simplify]: Simplify (* 1 1) into 1 14.026 * [backup-simplify]: Simplify (/ PI 1) into PI 14.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.030 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.030 * [backup-simplify]: Simplify (- 0) into 0 14.030 * [backup-simplify]: Simplify 0 into 0 14.031 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (* a b))) 14.031 * [backup-simplify]: Simplify (/ (* (* (* 1.0 (- (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) 1.0) (* 2.0 (* (/ 1 (- a)) (/ 1 (- b))))) into (* -0.5 (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) 14.031 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 14.031 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in a 14.031 * [taylor]: Taking taylor expansion of -0.5 in a 14.031 * [backup-simplify]: Simplify -0.5 into -0.5 14.031 * [taylor]: Taking taylor expansion of (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))) in a 14.031 * [taylor]: Taking taylor expansion of (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) in a 14.031 * [taylor]: Taking taylor expansion of b in a 14.031 * [backup-simplify]: Simplify b into b 14.031 * [taylor]: Taking taylor expansion of (* a (* PI (- (/ 1 a) (/ 1 b)))) in a 14.031 * [taylor]: Taking taylor expansion of a in a 14.031 * [backup-simplify]: Simplify 0 into 0 14.031 * [backup-simplify]: Simplify 1 into 1 14.031 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 14.031 * [taylor]: Taking taylor expansion of PI in a 14.031 * [backup-simplify]: Simplify PI into PI 14.031 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 14.031 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.031 * [taylor]: Taking taylor expansion of a in a 14.031 * [backup-simplify]: Simplify 0 into 0 14.031 * [backup-simplify]: Simplify 1 into 1 14.032 * [backup-simplify]: Simplify (/ 1 1) into 1 14.032 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.032 * [taylor]: Taking taylor expansion of b in a 14.032 * [backup-simplify]: Simplify b into b 14.032 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.032 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.032 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.032 * [taylor]: Taking taylor expansion of a in a 14.032 * [backup-simplify]: Simplify 0 into 0 14.032 * [backup-simplify]: Simplify 1 into 1 14.032 * [backup-simplify]: Simplify (/ 1 1) into 1 14.032 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.032 * [taylor]: Taking taylor expansion of b in a 14.032 * [backup-simplify]: Simplify b into b 14.032 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.033 * [backup-simplify]: Simplify (+ 1 0) into 1 14.033 * [backup-simplify]: Simplify (* PI 1) into PI 14.033 * [backup-simplify]: Simplify (* 0 PI) into 0 14.033 * [backup-simplify]: Simplify (* b 0) into 0 14.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.034 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 14.034 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 14.034 * [backup-simplify]: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) 14.034 * [backup-simplify]: Simplify (+ (* 0 (- (/ PI b))) (* 1 PI)) into PI 14.035 * [backup-simplify]: Simplify (+ (* b PI) (* 0 0)) into (* b PI) 14.035 * [backup-simplify]: Simplify (+ 1 0) into 1 14.035 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 14.035 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in b 14.035 * [taylor]: Taking taylor expansion of -0.5 in b 14.035 * [backup-simplify]: Simplify -0.5 into -0.5 14.035 * [taylor]: Taking taylor expansion of (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))) in b 14.035 * [taylor]: Taking taylor expansion of (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) in b 14.035 * [taylor]: Taking taylor expansion of b in b 14.035 * [backup-simplify]: Simplify 0 into 0 14.035 * [backup-simplify]: Simplify 1 into 1 14.035 * [taylor]: Taking taylor expansion of (* a (* PI (- (/ 1 a) (/ 1 b)))) in b 14.035 * [taylor]: Taking taylor expansion of a in b 14.035 * [backup-simplify]: Simplify a into a 14.035 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 14.035 * [taylor]: Taking taylor expansion of PI in b 14.035 * [backup-simplify]: Simplify PI into PI 14.035 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 14.035 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.035 * [taylor]: Taking taylor expansion of a in b 14.035 * [backup-simplify]: Simplify a into a 14.035 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.035 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.035 * [taylor]: Taking taylor expansion of b in b 14.035 * [backup-simplify]: Simplify 0 into 0 14.035 * [backup-simplify]: Simplify 1 into 1 14.036 * [backup-simplify]: Simplify (/ 1 1) into 1 14.036 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.036 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.036 * [taylor]: Taking taylor expansion of a in b 14.036 * [backup-simplify]: Simplify a into a 14.036 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.036 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.036 * [taylor]: Taking taylor expansion of b in b 14.036 * [backup-simplify]: Simplify 0 into 0 14.036 * [backup-simplify]: Simplify 1 into 1 14.036 * [backup-simplify]: Simplify (/ 1 1) into 1 14.036 * [backup-simplify]: Simplify (- 1) into -1 14.037 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.037 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 14.037 * [backup-simplify]: Simplify (* a (* -1 PI)) into (* -1 (* a PI)) 14.037 * [backup-simplify]: Simplify (* 0 (* -1 (* a PI))) into 0 14.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.038 * [backup-simplify]: Simplify (- 0) into 0 14.038 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.038 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (* 0 -1)) into (/ PI a) 14.039 * [backup-simplify]: Simplify (+ (* a (/ PI a)) (* 0 (* -1 PI))) into PI 14.039 * [backup-simplify]: Simplify (+ (* 0 PI) (* 1 (* -1 (* a PI)))) into (- (* a PI)) 14.039 * [backup-simplify]: Simplify (+ 0 1) into 1 14.039 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 14.039 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in b 14.039 * [taylor]: Taking taylor expansion of -0.5 in b 14.039 * [backup-simplify]: Simplify -0.5 into -0.5 14.040 * [taylor]: Taking taylor expansion of (/ (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))) in b 14.040 * [taylor]: Taking taylor expansion of (* b (* a (* PI (- (/ 1 a) (/ 1 b))))) in b 14.040 * [taylor]: Taking taylor expansion of b in b 14.040 * [backup-simplify]: Simplify 0 into 0 14.040 * [backup-simplify]: Simplify 1 into 1 14.040 * [taylor]: Taking taylor expansion of (* a (* PI (- (/ 1 a) (/ 1 b)))) in b 14.040 * [taylor]: Taking taylor expansion of a in b 14.040 * [backup-simplify]: Simplify a into a 14.040 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 14.040 * [taylor]: Taking taylor expansion of PI in b 14.040 * [backup-simplify]: Simplify PI into PI 14.040 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 14.040 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.040 * [taylor]: Taking taylor expansion of a in b 14.040 * [backup-simplify]: Simplify a into a 14.040 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.040 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.040 * [taylor]: Taking taylor expansion of b in b 14.040 * [backup-simplify]: Simplify 0 into 0 14.040 * [backup-simplify]: Simplify 1 into 1 14.040 * [backup-simplify]: Simplify (/ 1 1) into 1 14.040 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.040 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.040 * [taylor]: Taking taylor expansion of a in b 14.040 * [backup-simplify]: Simplify a into a 14.040 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.040 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.040 * [taylor]: Taking taylor expansion of b in b 14.040 * [backup-simplify]: Simplify 0 into 0 14.040 * [backup-simplify]: Simplify 1 into 1 14.041 * [backup-simplify]: Simplify (/ 1 1) into 1 14.041 * [backup-simplify]: Simplify (- 1) into -1 14.041 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.042 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 14.042 * [backup-simplify]: Simplify (* a (* -1 PI)) into (* -1 (* a PI)) 14.043 * [backup-simplify]: Simplify (* 0 (* -1 (* a PI))) into 0 14.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.044 * [backup-simplify]: Simplify (- 0) into 0 14.044 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.044 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (* 0 -1)) into (/ PI a) 14.045 * [backup-simplify]: Simplify (+ (* a (/ PI a)) (* 0 (* -1 PI))) into PI 14.046 * [backup-simplify]: Simplify (+ (* 0 PI) (* 1 (* -1 (* a PI)))) into (- (* a PI)) 14.047 * [backup-simplify]: Simplify (+ 0 1) into 1 14.047 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 14.047 * [backup-simplify]: Simplify (* -0.5 (* -1 (* a PI))) into (* 0.5 (* a PI)) 14.047 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 14.047 * [taylor]: Taking taylor expansion of 0.5 in a 14.047 * [backup-simplify]: Simplify 0.5 into 0.5 14.047 * [taylor]: Taking taylor expansion of (* a PI) in a 14.047 * [taylor]: Taking taylor expansion of a in a 14.047 * [backup-simplify]: Simplify 0 into 0 14.047 * [backup-simplify]: Simplify 1 into 1 14.047 * [taylor]: Taking taylor expansion of PI in a 14.048 * [backup-simplify]: Simplify PI into PI 14.049 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.049 * [backup-simplify]: Simplify (* 0 PI) into 0 14.051 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 14.052 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 14.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.053 * [backup-simplify]: Simplify (- 0) into 0 14.054 * [backup-simplify]: Simplify (+ 0 0) into 0 14.055 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (/ 1 a)) (* 0 -1))) into 0 14.055 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (/ PI a)) (* 0 (* -1 PI)))) into 0 14.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 PI) (* 0 (* -1 (* a PI))))) into PI 14.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.057 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.057 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* a PI)) (/ (/ 1 a) 1)))) into (* 2 PI) 14.058 * [backup-simplify]: Simplify (+ (* -0.5 (* 2 PI)) (* 0 (* -1 (* a PI)))) into (- (* 1.0 PI)) 14.058 * [taylor]: Taking taylor expansion of (- (* 1.0 PI)) in a 14.058 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 14.058 * [taylor]: Taking taylor expansion of 1.0 in a 14.058 * [backup-simplify]: Simplify 1.0 into 1.0 14.058 * [taylor]: Taking taylor expansion of PI in a 14.058 * [backup-simplify]: Simplify PI into PI 14.058 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 14.059 * [backup-simplify]: Simplify (- 0) into 0 14.059 * [backup-simplify]: Simplify 0 into 0 14.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 14.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 14.060 * [backup-simplify]: Simplify 0 into 0 14.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.061 * [backup-simplify]: Simplify (- 0) into 0 14.061 * [backup-simplify]: Simplify (+ 0 0) into 0 14.062 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1)))) into 0 14.062 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 (/ PI a)) (* 0 (* -1 PI))))) into 0 14.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 PI) (* 0 (* -1 (* a PI)))))) into 0 14.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.064 * [backup-simplify]: Simplify (+ 0 0) into 0 14.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* a PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI a))) 14.066 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2 (/ PI a)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* a PI))))) into (* 1.0 (/ PI a)) 14.066 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 14.066 * [taylor]: Taking taylor expansion of 1.0 in a 14.066 * [backup-simplify]: Simplify 1.0 into 1.0 14.066 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.066 * [taylor]: Taking taylor expansion of PI in a 14.066 * [backup-simplify]: Simplify PI into PI 14.066 * [taylor]: Taking taylor expansion of a in a 14.066 * [backup-simplify]: Simplify 0 into 0 14.066 * [backup-simplify]: Simplify 1 into 1 14.066 * [backup-simplify]: Simplify (/ PI 1) into PI 14.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.068 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.068 * [backup-simplify]: Simplify 0 into 0 14.068 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.069 * [backup-simplify]: Simplify (- 0) into 0 14.069 * [backup-simplify]: Simplify 0 into 0 14.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.070 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.070 * [backup-simplify]: Simplify 0 into 0 14.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.071 * [backup-simplify]: Simplify (- 0) into 0 14.071 * [backup-simplify]: Simplify (+ 0 0) into 0 14.072 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1))))) into 0 14.073 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ PI a)) (* 0 (* -1 PI)))))) into 0 14.074 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 (* -1 (* a PI))))))) into 0 14.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.075 * [backup-simplify]: Simplify (+ 0 0) into 0 14.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* a PI)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 2))) 14.077 * [backup-simplify]: Simplify (+ (* -0.5 (* 2 (/ PI (pow a 2)))) (+ (* 0 (- (* 2 (/ PI a)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* a PI)))))) into (- (* 1.0 (/ PI (pow a 2)))) 14.077 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 14.077 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 14.077 * [taylor]: Taking taylor expansion of 1.0 in a 14.077 * [backup-simplify]: Simplify 1.0 into 1.0 14.077 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.077 * [taylor]: Taking taylor expansion of PI in a 14.077 * [backup-simplify]: Simplify PI into PI 14.077 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.077 * [taylor]: Taking taylor expansion of a in a 14.077 * [backup-simplify]: Simplify 0 into 0 14.077 * [backup-simplify]: Simplify 1 into 1 14.078 * [backup-simplify]: Simplify (* 1 1) into 1 14.078 * [backup-simplify]: Simplify (/ PI 1) into PI 14.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.082 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.082 * [backup-simplify]: Simplify (- 0) into 0 14.082 * [backup-simplify]: Simplify 0 into 0 14.083 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 (- a)) (/ 1 (- b)))) into (* 0.5 (/ PI (* a b))) 14.083 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 14.083 * [backup-simplify]: Simplify (* (* 1.0 (- b a)) (/ PI (+ a b))) into (* 1.0 (/ (* (- b a) PI) (+ a b))) 14.083 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (- b a) PI) (+ a b))) in (b a) around 0 14.083 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (- b a) PI) (+ a b))) in a 14.083 * [taylor]: Taking taylor expansion of 1.0 in a 14.083 * [backup-simplify]: Simplify 1.0 into 1.0 14.083 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in a 14.083 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 14.083 * [taylor]: Taking taylor expansion of (- b a) in a 14.083 * [taylor]: Taking taylor expansion of b in a 14.083 * [backup-simplify]: Simplify b into b 14.083 * [taylor]: Taking taylor expansion of a in a 14.083 * [backup-simplify]: Simplify 0 into 0 14.083 * [backup-simplify]: Simplify 1 into 1 14.083 * [taylor]: Taking taylor expansion of PI in a 14.083 * [backup-simplify]: Simplify PI into PI 14.083 * [taylor]: Taking taylor expansion of (+ a b) in a 14.083 * [taylor]: Taking taylor expansion of a in a 14.083 * [backup-simplify]: Simplify 0 into 0 14.083 * [backup-simplify]: Simplify 1 into 1 14.083 * [taylor]: Taking taylor expansion of b in a 14.083 * [backup-simplify]: Simplify b into b 14.083 * [backup-simplify]: Simplify (- 0) into 0 14.083 * [backup-simplify]: Simplify (+ b 0) into b 14.083 * [backup-simplify]: Simplify (* b PI) into (* PI b) 14.083 * [backup-simplify]: Simplify (+ 0 b) into b 14.083 * [backup-simplify]: Simplify (/ (* PI b) b) into PI 14.083 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (- b a) PI) (+ a b))) in b 14.083 * [taylor]: Taking taylor expansion of 1.0 in b 14.084 * [backup-simplify]: Simplify 1.0 into 1.0 14.084 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in b 14.084 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 14.084 * [taylor]: Taking taylor expansion of (- b a) in b 14.084 * [taylor]: Taking taylor expansion of b in b 14.084 * [backup-simplify]: Simplify 0 into 0 14.084 * [backup-simplify]: Simplify 1 into 1 14.084 * [taylor]: Taking taylor expansion of a in b 14.084 * [backup-simplify]: Simplify a into a 14.084 * [taylor]: Taking taylor expansion of PI in b 14.084 * [backup-simplify]: Simplify PI into PI 14.084 * [taylor]: Taking taylor expansion of (+ a b) in b 14.084 * [taylor]: Taking taylor expansion of a in b 14.084 * [backup-simplify]: Simplify a into a 14.084 * [taylor]: Taking taylor expansion of b in b 14.084 * [backup-simplify]: Simplify 0 into 0 14.084 * [backup-simplify]: Simplify 1 into 1 14.084 * [backup-simplify]: Simplify (- a) into (- a) 14.084 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 14.084 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 14.084 * [backup-simplify]: Simplify (+ a 0) into a 14.084 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) a) into (* -1 PI) 14.084 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (- b a) PI) (+ a b))) in b 14.084 * [taylor]: Taking taylor expansion of 1.0 in b 14.084 * [backup-simplify]: Simplify 1.0 into 1.0 14.084 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in b 14.084 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 14.084 * [taylor]: Taking taylor expansion of (- b a) in b 14.084 * [taylor]: Taking taylor expansion of b in b 14.084 * [backup-simplify]: Simplify 0 into 0 14.084 * [backup-simplify]: Simplify 1 into 1 14.084 * [taylor]: Taking taylor expansion of a in b 14.084 * [backup-simplify]: Simplify a into a 14.084 * [taylor]: Taking taylor expansion of PI in b 14.084 * [backup-simplify]: Simplify PI into PI 14.084 * [taylor]: Taking taylor expansion of (+ a b) in b 14.084 * [taylor]: Taking taylor expansion of a in b 14.084 * [backup-simplify]: Simplify a into a 14.084 * [taylor]: Taking taylor expansion of b in b 14.084 * [backup-simplify]: Simplify 0 into 0 14.084 * [backup-simplify]: Simplify 1 into 1 14.084 * [backup-simplify]: Simplify (- a) into (- a) 14.084 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 14.084 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 14.085 * [backup-simplify]: Simplify (+ a 0) into a 14.085 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) a) into (* -1 PI) 14.086 * [backup-simplify]: Simplify (* 1.0 (* -1 PI)) into (* -1.0 PI) 14.086 * [taylor]: Taking taylor expansion of (* -1.0 PI) in a 14.086 * [taylor]: Taking taylor expansion of -1.0 in a 14.086 * [backup-simplify]: Simplify -1.0 into -1.0 14.086 * [taylor]: Taking taylor expansion of PI in a 14.086 * [backup-simplify]: Simplify PI into PI 14.087 * [backup-simplify]: Simplify (* -1.0 PI) into (* -1.0 PI) 14.087 * [backup-simplify]: Simplify (* -1.0 PI) into (* -1.0 PI) 14.087 * [backup-simplify]: Simplify (- 0) into 0 14.088 * [backup-simplify]: Simplify (+ 1 0) into 1 14.088 * [backup-simplify]: Simplify (+ (* (- a) 0) (* 1 PI)) into PI 14.089 * [backup-simplify]: Simplify (+ 0 1) into 1 14.089 * [backup-simplify]: Simplify (- (/ PI a) (+ (* (* -1 PI) (/ 1 a)))) into (* 2 (/ PI a)) 14.090 * [backup-simplify]: Simplify (+ (* 1.0 (* 2 (/ PI a))) (* 0 (* -1 PI))) into (* 2.0 (/ PI a)) 14.090 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI a)) in a 14.090 * [taylor]: Taking taylor expansion of 2.0 in a 14.090 * [backup-simplify]: Simplify 2.0 into 2.0 14.090 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.090 * [taylor]: Taking taylor expansion of PI in a 14.090 * [backup-simplify]: Simplify PI into PI 14.090 * [taylor]: Taking taylor expansion of a in a 14.090 * [backup-simplify]: Simplify 0 into 0 14.090 * [backup-simplify]: Simplify 1 into 1 14.091 * [backup-simplify]: Simplify (/ PI 1) into PI 14.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.093 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 14.093 * [backup-simplify]: Simplify 0 into 0 14.093 * [backup-simplify]: Simplify (+ (* -1.0 0) (* 0 PI)) into 0 14.093 * [backup-simplify]: Simplify 0 into 0 14.094 * [backup-simplify]: Simplify (- 0) into 0 14.094 * [backup-simplify]: Simplify (+ 0 0) into 0 14.095 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (* 0 PI))) into 0 14.095 * [backup-simplify]: Simplify (+ 0 0) into 0 14.096 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1 PI) (/ 0 a)) (* (* 2 (/ PI a)) (/ 1 a)))) into (- (* 2 (/ PI (pow a 2)))) 14.097 * [backup-simplify]: Simplify (+ (* 1.0 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI)))) into (- (* 2.0 (/ PI (pow a 2)))) 14.097 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ PI (pow a 2)))) in a 14.097 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI (pow a 2))) in a 14.097 * [taylor]: Taking taylor expansion of 2.0 in a 14.097 * [backup-simplify]: Simplify 2.0 into 2.0 14.097 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.097 * [taylor]: Taking taylor expansion of PI in a 14.097 * [backup-simplify]: Simplify PI into PI 14.097 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.097 * [taylor]: Taking taylor expansion of a in a 14.097 * [backup-simplify]: Simplify 0 into 0 14.097 * [backup-simplify]: Simplify 1 into 1 14.097 * [backup-simplify]: Simplify (* 1 1) into 1 14.098 * [backup-simplify]: Simplify (/ PI 1) into PI 14.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.100 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.101 * [backup-simplify]: Simplify (- 0) into 0 14.101 * [backup-simplify]: Simplify 0 into 0 14.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.102 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.102 * [backup-simplify]: Simplify 0 into 0 14.103 * [backup-simplify]: Simplify (+ (* -1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.103 * [backup-simplify]: Simplify 0 into 0 14.103 * [backup-simplify]: Simplify (- 0) into 0 14.103 * [backup-simplify]: Simplify (+ 0 0) into 0 14.104 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.104 * [backup-simplify]: Simplify (+ 0 0) into 0 14.105 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1 PI) (/ 0 a)) (* (* 2 (/ PI a)) (/ 0 a)) (* (- (* 2 (/ PI (pow a 2)))) (/ 1 a)))) into (* 2 (/ PI (pow a 3))) 14.105 * [backup-simplify]: Simplify (+ (* 1.0 (* 2 (/ PI (pow a 3)))) (+ (* 0 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI))))) into (* 2.0 (/ PI (pow a 3))) 14.105 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI (pow a 3))) in a 14.105 * [taylor]: Taking taylor expansion of 2.0 in a 14.105 * [backup-simplify]: Simplify 2.0 into 2.0 14.105 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 14.105 * [taylor]: Taking taylor expansion of PI in a 14.105 * [backup-simplify]: Simplify PI into PI 14.106 * [taylor]: Taking taylor expansion of (pow a 3) in a 14.106 * [taylor]: Taking taylor expansion of a in a 14.106 * [backup-simplify]: Simplify 0 into 0 14.106 * [backup-simplify]: Simplify 1 into 1 14.106 * [backup-simplify]: Simplify (* 1 1) into 1 14.106 * [backup-simplify]: Simplify (* 1 1) into 1 14.106 * [backup-simplify]: Simplify (/ PI 1) into PI 14.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.114 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.114 * [backup-simplify]: Simplify 0 into 0 14.115 * [backup-simplify]: Simplify (* -1.0 PI) into (* -1.0 PI) 14.115 * [backup-simplify]: Simplify (* (* 1.0 (- (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 a) (/ 1 b)))) into (* 1.0 (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b)))) 14.115 * [approximate]: Taking taylor expansion of (* 1.0 (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 14.115 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b)))) in a 14.115 * [taylor]: Taking taylor expansion of 1.0 in a 14.115 * [backup-simplify]: Simplify 1.0 into 1.0 14.115 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) in a 14.115 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in a 14.115 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 14.115 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.115 * [taylor]: Taking taylor expansion of b in a 14.115 * [backup-simplify]: Simplify b into b 14.115 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.115 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.115 * [taylor]: Taking taylor expansion of a in a 14.115 * [backup-simplify]: Simplify 0 into 0 14.115 * [backup-simplify]: Simplify 1 into 1 14.115 * [backup-simplify]: Simplify (/ 1 1) into 1 14.115 * [taylor]: Taking taylor expansion of PI in a 14.115 * [backup-simplify]: Simplify PI into PI 14.115 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.115 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.115 * [taylor]: Taking taylor expansion of a in a 14.115 * [backup-simplify]: Simplify 0 into 0 14.116 * [backup-simplify]: Simplify 1 into 1 14.116 * [backup-simplify]: Simplify (/ 1 1) into 1 14.116 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.116 * [taylor]: Taking taylor expansion of b in a 14.116 * [backup-simplify]: Simplify b into b 14.116 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.116 * [backup-simplify]: Simplify (- 1) into -1 14.116 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.117 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 14.117 * [backup-simplify]: Simplify (+ 1 0) into 1 14.118 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 14.118 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b)))) in b 14.118 * [taylor]: Taking taylor expansion of 1.0 in b 14.118 * [backup-simplify]: Simplify 1.0 into 1.0 14.118 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 14.118 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in b 14.118 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 14.118 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.118 * [taylor]: Taking taylor expansion of b in b 14.118 * [backup-simplify]: Simplify 0 into 0 14.118 * [backup-simplify]: Simplify 1 into 1 14.118 * [backup-simplify]: Simplify (/ 1 1) into 1 14.118 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.118 * [taylor]: Taking taylor expansion of a in b 14.118 * [backup-simplify]: Simplify a into a 14.118 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.118 * [taylor]: Taking taylor expansion of PI in b 14.118 * [backup-simplify]: Simplify PI into PI 14.118 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.118 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.118 * [taylor]: Taking taylor expansion of a in b 14.118 * [backup-simplify]: Simplify a into a 14.118 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.118 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.118 * [taylor]: Taking taylor expansion of b in b 14.118 * [backup-simplify]: Simplify 0 into 0 14.118 * [backup-simplify]: Simplify 1 into 1 14.118 * [backup-simplify]: Simplify (/ 1 1) into 1 14.119 * [backup-simplify]: Simplify (+ 1 0) into 1 14.119 * [backup-simplify]: Simplify (* 1 PI) into PI 14.119 * [backup-simplify]: Simplify (+ 0 1) into 1 14.120 * [backup-simplify]: Simplify (/ PI 1) into PI 14.120 * [taylor]: Taking taylor expansion of (* 1.0 (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b)))) in b 14.120 * [taylor]: Taking taylor expansion of 1.0 in b 14.120 * [backup-simplify]: Simplify 1.0 into 1.0 14.120 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 14.120 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in b 14.120 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 14.120 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.120 * [taylor]: Taking taylor expansion of b in b 14.120 * [backup-simplify]: Simplify 0 into 0 14.120 * [backup-simplify]: Simplify 1 into 1 14.120 * [backup-simplify]: Simplify (/ 1 1) into 1 14.120 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.120 * [taylor]: Taking taylor expansion of a in b 14.120 * [backup-simplify]: Simplify a into a 14.120 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.120 * [taylor]: Taking taylor expansion of PI in b 14.120 * [backup-simplify]: Simplify PI into PI 14.120 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.120 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.120 * [taylor]: Taking taylor expansion of a in b 14.120 * [backup-simplify]: Simplify a into a 14.120 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.120 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.120 * [taylor]: Taking taylor expansion of b in b 14.120 * [backup-simplify]: Simplify 0 into 0 14.120 * [backup-simplify]: Simplify 1 into 1 14.121 * [backup-simplify]: Simplify (/ 1 1) into 1 14.121 * [backup-simplify]: Simplify (+ 1 0) into 1 14.121 * [backup-simplify]: Simplify (* 1 PI) into PI 14.121 * [backup-simplify]: Simplify (+ 0 1) into 1 14.122 * [backup-simplify]: Simplify (/ PI 1) into PI 14.122 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 14.122 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 14.122 * [taylor]: Taking taylor expansion of 1.0 in a 14.122 * [backup-simplify]: Simplify 1.0 into 1.0 14.122 * [taylor]: Taking taylor expansion of PI in a 14.122 * [backup-simplify]: Simplify PI into PI 14.123 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 14.123 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 14.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.123 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 14.123 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 14.124 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 a)) PI)) into (- (/ PI a)) 14.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.124 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.124 * [backup-simplify]: Simplify (- (/ (- (/ PI a)) 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (* 2 (/ PI a))) 14.125 * [backup-simplify]: Simplify (+ (* 1.0 (- (* 2 (/ PI a)))) (* 0 PI)) into (- (* 2.0 (/ PI a))) 14.125 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ PI a))) in a 14.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI a)) in a 14.125 * [taylor]: Taking taylor expansion of 2.0 in a 14.125 * [backup-simplify]: Simplify 2.0 into 2.0 14.125 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.125 * [taylor]: Taking taylor expansion of PI in a 14.125 * [backup-simplify]: Simplify PI into PI 14.125 * [taylor]: Taking taylor expansion of a in a 14.125 * [backup-simplify]: Simplify 0 into 0 14.125 * [backup-simplify]: Simplify 1 into 1 14.125 * [backup-simplify]: Simplify (/ PI 1) into PI 14.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.126 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 14.127 * [backup-simplify]: Simplify (- 0) into 0 14.127 * [backup-simplify]: Simplify 0 into 0 14.127 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 14.127 * [backup-simplify]: Simplify 0 into 0 14.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.128 * [backup-simplify]: Simplify (- 0) into 0 14.128 * [backup-simplify]: Simplify (+ 0 0) into 0 14.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (* 0 PI))) into 0 14.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.131 * [backup-simplify]: Simplify (+ 0 0) into 0 14.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (* 2 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 2))) 14.133 * [backup-simplify]: Simplify (+ (* 1.0 (* 2 (/ PI (pow a 2)))) (+ (* 0 (- (* 2 (/ PI a)))) (* 0 PI))) into (* 2.0 (/ PI (pow a 2))) 14.133 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI (pow a 2))) in a 14.133 * [taylor]: Taking taylor expansion of 2.0 in a 14.133 * [backup-simplify]: Simplify 2.0 into 2.0 14.133 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.133 * [taylor]: Taking taylor expansion of PI in a 14.133 * [backup-simplify]: Simplify PI into PI 14.133 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.133 * [taylor]: Taking taylor expansion of a in a 14.133 * [backup-simplify]: Simplify 0 into 0 14.134 * [backup-simplify]: Simplify 1 into 1 14.134 * [backup-simplify]: Simplify (* 1 1) into 1 14.134 * [backup-simplify]: Simplify (/ PI 1) into PI 14.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.139 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.139 * [backup-simplify]: Simplify 0 into 0 14.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.141 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.141 * [backup-simplify]: Simplify (- 0) into 0 14.142 * [backup-simplify]: Simplify 0 into 0 14.143 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.143 * [backup-simplify]: Simplify 0 into 0 14.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.144 * [backup-simplify]: Simplify (- 0) into 0 14.144 * [backup-simplify]: Simplify (+ 0 0) into 0 14.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 14.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.147 * [backup-simplify]: Simplify (+ 0 0) into 0 14.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (* 2 (/ PI a))) (/ 0 1)) (* (* 2 (/ PI (pow a 2))) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 3)))) 14.150 * [backup-simplify]: Simplify (+ (* 1.0 (- (* 2 (/ PI (pow a 3))))) (+ (* 0 (* 2 (/ PI (pow a 2)))) (+ (* 0 (- (* 2 (/ PI a)))) (* 0 PI)))) into (- (* 2.0 (/ PI (pow a 3)))) 14.150 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ PI (pow a 3)))) in a 14.150 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI (pow a 3))) in a 14.150 * [taylor]: Taking taylor expansion of 2.0 in a 14.150 * [backup-simplify]: Simplify 2.0 into 2.0 14.150 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 14.150 * [taylor]: Taking taylor expansion of PI in a 14.150 * [backup-simplify]: Simplify PI into PI 14.150 * [taylor]: Taking taylor expansion of (pow a 3) in a 14.150 * [taylor]: Taking taylor expansion of a in a 14.150 * [backup-simplify]: Simplify 0 into 0 14.150 * [backup-simplify]: Simplify 1 into 1 14.151 * [backup-simplify]: Simplify (* 1 1) into 1 14.151 * [backup-simplify]: Simplify (* 1 1) into 1 14.152 * [backup-simplify]: Simplify (/ PI 1) into PI 14.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.161 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.162 * [backup-simplify]: Simplify (- 0) into 0 14.162 * [backup-simplify]: Simplify 0 into 0 14.162 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 14.163 * [backup-simplify]: Simplify (* (* 1.0 (- (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) into (* -1.0 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) 14.163 * [approximate]: Taking taylor expansion of (* -1.0 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 14.163 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) in a 14.163 * [taylor]: Taking taylor expansion of -1.0 in a 14.163 * [backup-simplify]: Simplify -1.0 into -1.0 14.163 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in a 14.163 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in a 14.163 * [taylor]: Taking taylor expansion of PI in a 14.163 * [backup-simplify]: Simplify PI into PI 14.163 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 14.163 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.163 * [taylor]: Taking taylor expansion of a in a 14.163 * [backup-simplify]: Simplify 0 into 0 14.163 * [backup-simplify]: Simplify 1 into 1 14.163 * [backup-simplify]: Simplify (/ 1 1) into 1 14.163 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.163 * [taylor]: Taking taylor expansion of b in a 14.164 * [backup-simplify]: Simplify b into b 14.164 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.164 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.164 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.164 * [taylor]: Taking taylor expansion of a in a 14.164 * [backup-simplify]: Simplify 0 into 0 14.164 * [backup-simplify]: Simplify 1 into 1 14.164 * [backup-simplify]: Simplify (/ 1 1) into 1 14.164 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.164 * [taylor]: Taking taylor expansion of b in a 14.164 * [backup-simplify]: Simplify b into b 14.164 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.165 * [backup-simplify]: Simplify (+ 1 0) into 1 14.165 * [backup-simplify]: Simplify (* PI 1) into PI 14.166 * [backup-simplify]: Simplify (+ 1 0) into 1 14.166 * [backup-simplify]: Simplify (/ PI 1) into PI 14.166 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) in b 14.166 * [taylor]: Taking taylor expansion of -1.0 in b 14.166 * [backup-simplify]: Simplify -1.0 into -1.0 14.166 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in b 14.166 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 14.166 * [taylor]: Taking taylor expansion of PI in b 14.166 * [backup-simplify]: Simplify PI into PI 14.166 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 14.166 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.166 * [taylor]: Taking taylor expansion of a in b 14.166 * [backup-simplify]: Simplify a into a 14.166 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.166 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.166 * [taylor]: Taking taylor expansion of b in b 14.167 * [backup-simplify]: Simplify 0 into 0 14.167 * [backup-simplify]: Simplify 1 into 1 14.167 * [backup-simplify]: Simplify (/ 1 1) into 1 14.167 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.167 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.167 * [taylor]: Taking taylor expansion of a in b 14.167 * [backup-simplify]: Simplify a into a 14.167 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.167 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.167 * [taylor]: Taking taylor expansion of b in b 14.167 * [backup-simplify]: Simplify 0 into 0 14.167 * [backup-simplify]: Simplify 1 into 1 14.168 * [backup-simplify]: Simplify (/ 1 1) into 1 14.168 * [backup-simplify]: Simplify (- 1) into -1 14.168 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.169 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 14.169 * [backup-simplify]: Simplify (+ 0 1) into 1 14.170 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 14.170 * [taylor]: Taking taylor expansion of (* -1.0 (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) in b 14.171 * [taylor]: Taking taylor expansion of -1.0 in b 14.171 * [backup-simplify]: Simplify -1.0 into -1.0 14.171 * [taylor]: Taking taylor expansion of (/ (* PI (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in b 14.171 * [taylor]: Taking taylor expansion of (* PI (- (/ 1 a) (/ 1 b))) in b 14.171 * [taylor]: Taking taylor expansion of PI in b 14.171 * [backup-simplify]: Simplify PI into PI 14.171 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 14.171 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.171 * [taylor]: Taking taylor expansion of a in b 14.171 * [backup-simplify]: Simplify a into a 14.171 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.171 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.171 * [taylor]: Taking taylor expansion of b in b 14.171 * [backup-simplify]: Simplify 0 into 0 14.171 * [backup-simplify]: Simplify 1 into 1 14.171 * [backup-simplify]: Simplify (/ 1 1) into 1 14.171 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.171 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.172 * [taylor]: Taking taylor expansion of a in b 14.172 * [backup-simplify]: Simplify a into a 14.172 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.172 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.172 * [taylor]: Taking taylor expansion of b in b 14.172 * [backup-simplify]: Simplify 0 into 0 14.172 * [backup-simplify]: Simplify 1 into 1 14.172 * [backup-simplify]: Simplify (/ 1 1) into 1 14.173 * [backup-simplify]: Simplify (- 1) into -1 14.173 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.173 * [backup-simplify]: Simplify (* PI -1) into (* -1 PI) 14.174 * [backup-simplify]: Simplify (+ 0 1) into 1 14.175 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 14.176 * [backup-simplify]: Simplify (* -1.0 (* -1 PI)) into (* 1.0 PI) 14.176 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 14.176 * [taylor]: Taking taylor expansion of 1.0 in a 14.176 * [backup-simplify]: Simplify 1.0 into 1.0 14.176 * [taylor]: Taking taylor expansion of PI in a 14.176 * [backup-simplify]: Simplify PI into PI 14.177 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 14.177 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 14.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.178 * [backup-simplify]: Simplify (- 0) into 0 14.178 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.178 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (* 0 -1)) into (/ PI a) 14.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.178 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.179 * [backup-simplify]: Simplify (- (/ (/ PI a) 1) (+ (* (* -1 PI) (/ (/ 1 a) 1)))) into (* 2 (/ PI a)) 14.179 * [backup-simplify]: Simplify (+ (* -1.0 (* 2 (/ PI a))) (* 0 (* -1 PI))) into (- (* 2.0 (/ PI a))) 14.179 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ PI a))) in a 14.179 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI a)) in a 14.179 * [taylor]: Taking taylor expansion of 2.0 in a 14.179 * [backup-simplify]: Simplify 2.0 into 2.0 14.179 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.179 * [taylor]: Taking taylor expansion of PI in a 14.179 * [backup-simplify]: Simplify PI into PI 14.179 * [taylor]: Taking taylor expansion of a in a 14.179 * [backup-simplify]: Simplify 0 into 0 14.179 * [backup-simplify]: Simplify 1 into 1 14.180 * [backup-simplify]: Simplify (/ PI 1) into PI 14.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.181 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 14.181 * [backup-simplify]: Simplify (- 0) into 0 14.181 * [backup-simplify]: Simplify 0 into 0 14.181 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 14.182 * [backup-simplify]: Simplify 0 into 0 14.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.182 * [backup-simplify]: Simplify (- 0) into 0 14.183 * [backup-simplify]: Simplify (+ 0 0) into 0 14.183 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (/ 1 a)) (* 0 -1))) into 0 14.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.184 * [backup-simplify]: Simplify (+ 0 0) into 0 14.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)) (* (* 2 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 2)))) 14.186 * [backup-simplify]: Simplify (+ (* -1.0 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI)))) into (* 2.0 (/ PI (pow a 2))) 14.186 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI (pow a 2))) in a 14.186 * [taylor]: Taking taylor expansion of 2.0 in a 14.186 * [backup-simplify]: Simplify 2.0 into 2.0 14.186 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.186 * [taylor]: Taking taylor expansion of PI in a 14.186 * [backup-simplify]: Simplify PI into PI 14.186 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.186 * [taylor]: Taking taylor expansion of a in a 14.186 * [backup-simplify]: Simplify 0 into 0 14.186 * [backup-simplify]: Simplify 1 into 1 14.186 * [backup-simplify]: Simplify (* 1 1) into 1 14.186 * [backup-simplify]: Simplify (/ PI 1) into PI 14.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.189 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.189 * [backup-simplify]: Simplify 0 into 0 14.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.190 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.190 * [backup-simplify]: Simplify (- 0) into 0 14.191 * [backup-simplify]: Simplify 0 into 0 14.191 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.191 * [backup-simplify]: Simplify 0 into 0 14.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.192 * [backup-simplify]: Simplify (- 0) into 0 14.192 * [backup-simplify]: Simplify (+ 0 0) into 0 14.193 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1)))) into 0 14.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.194 * [backup-simplify]: Simplify (+ 0 0) into 0 14.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)) (* (* 2 (/ PI a)) (/ 0 1)) (* (- (* 2 (/ PI (pow a 2)))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 3))) 14.196 * [backup-simplify]: Simplify (+ (* -1.0 (* 2 (/ PI (pow a 3)))) (+ (* 0 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI))))) into (- (* 2.0 (/ PI (pow a 3)))) 14.196 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ PI (pow a 3)))) in a 14.196 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI (pow a 3))) in a 14.196 * [taylor]: Taking taylor expansion of 2.0 in a 14.196 * [backup-simplify]: Simplify 2.0 into 2.0 14.196 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 14.196 * [taylor]: Taking taylor expansion of PI in a 14.196 * [backup-simplify]: Simplify PI into PI 14.196 * [taylor]: Taking taylor expansion of (pow a 3) in a 14.196 * [taylor]: Taking taylor expansion of a in a 14.196 * [backup-simplify]: Simplify 0 into 0 14.196 * [backup-simplify]: Simplify 1 into 1 14.197 * [backup-simplify]: Simplify (* 1 1) into 1 14.197 * [backup-simplify]: Simplify (* 1 1) into 1 14.197 * [backup-simplify]: Simplify (/ PI 1) into PI 14.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.203 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.203 * [backup-simplify]: Simplify (- 0) into 0 14.203 * [backup-simplify]: Simplify 0 into 0 14.203 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 14.204 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2) 14.204 * [backup-simplify]: Simplify (/ PI (+ a b)) into (/ PI (+ a b)) 14.204 * [approximate]: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 14.204 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 14.204 * [taylor]: Taking taylor expansion of PI in b 14.204 * [backup-simplify]: Simplify PI into PI 14.204 * [taylor]: Taking taylor expansion of (+ a b) in b 14.204 * [taylor]: Taking taylor expansion of a in b 14.204 * [backup-simplify]: Simplify a into a 14.204 * [taylor]: Taking taylor expansion of b in b 14.204 * [backup-simplify]: Simplify 0 into 0 14.204 * [backup-simplify]: Simplify 1 into 1 14.204 * [backup-simplify]: Simplify (+ a 0) into a 14.204 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 14.204 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 14.204 * [taylor]: Taking taylor expansion of PI in a 14.204 * [backup-simplify]: Simplify PI into PI 14.204 * [taylor]: Taking taylor expansion of (+ a b) in a 14.204 * [taylor]: Taking taylor expansion of a in a 14.204 * [backup-simplify]: Simplify 0 into 0 14.204 * [backup-simplify]: Simplify 1 into 1 14.204 * [taylor]: Taking taylor expansion of b in a 14.204 * [backup-simplify]: Simplify b into b 14.204 * [backup-simplify]: Simplify (+ 0 b) into b 14.204 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 14.204 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 14.204 * [taylor]: Taking taylor expansion of PI in a 14.204 * [backup-simplify]: Simplify PI into PI 14.204 * [taylor]: Taking taylor expansion of (+ a b) in a 14.204 * [taylor]: Taking taylor expansion of a in a 14.204 * [backup-simplify]: Simplify 0 into 0 14.204 * [backup-simplify]: Simplify 1 into 1 14.204 * [taylor]: Taking taylor expansion of b in a 14.204 * [backup-simplify]: Simplify b into b 14.204 * [backup-simplify]: Simplify (+ 0 b) into b 14.204 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 14.204 * [taylor]: Taking taylor expansion of (/ PI b) in b 14.204 * [taylor]: Taking taylor expansion of PI in b 14.204 * [backup-simplify]: Simplify PI into PI 14.204 * [taylor]: Taking taylor expansion of b in b 14.204 * [backup-simplify]: Simplify 0 into 0 14.204 * [backup-simplify]: Simplify 1 into 1 14.205 * [backup-simplify]: Simplify (/ PI 1) into PI 14.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.205 * [backup-simplify]: Simplify 0 into 0 14.206 * [backup-simplify]: Simplify (+ 1 0) into 1 14.206 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 14.206 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 14.206 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 14.206 * [taylor]: Taking taylor expansion of PI in b 14.206 * [backup-simplify]: Simplify PI into PI 14.206 * [taylor]: Taking taylor expansion of (pow b 2) in b 14.206 * [taylor]: Taking taylor expansion of b in b 14.206 * [backup-simplify]: Simplify 0 into 0 14.206 * [backup-simplify]: Simplify 1 into 1 14.206 * [backup-simplify]: Simplify (* 1 1) into 1 14.206 * [backup-simplify]: Simplify (/ PI 1) into PI 14.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.209 * [backup-simplify]: Simplify (- 0) into 0 14.209 * [backup-simplify]: Simplify 0 into 0 14.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.210 * [backup-simplify]: Simplify 0 into 0 14.211 * [backup-simplify]: Simplify (+ 0 0) into 0 14.211 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 14.211 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 14.211 * [taylor]: Taking taylor expansion of PI in b 14.211 * [backup-simplify]: Simplify PI into PI 14.211 * [taylor]: Taking taylor expansion of (pow b 3) in b 14.211 * [taylor]: Taking taylor expansion of b in b 14.211 * [backup-simplify]: Simplify 0 into 0 14.211 * [backup-simplify]: Simplify 1 into 1 14.212 * [backup-simplify]: Simplify (* 1 1) into 1 14.212 * [backup-simplify]: Simplify (* 1 1) into 1 14.213 * [backup-simplify]: Simplify (/ PI 1) into PI 14.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.221 * [backup-simplify]: Simplify 0 into 0 14.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.223 * [backup-simplify]: Simplify (- 0) into 0 14.223 * [backup-simplify]: Simplify 0 into 0 14.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.224 * [backup-simplify]: Simplify 0 into 0 14.224 * [backup-simplify]: Simplify 0 into 0 14.224 * [backup-simplify]: Simplify (/ PI (+ (/ 1 a) (/ 1 b))) into (/ PI (+ (/ 1 a) (/ 1 b))) 14.225 * [approximate]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 14.225 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 14.225 * [taylor]: Taking taylor expansion of PI in b 14.225 * [backup-simplify]: Simplify PI into PI 14.225 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.225 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.225 * [taylor]: Taking taylor expansion of a in b 14.225 * [backup-simplify]: Simplify a into a 14.225 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.225 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.225 * [taylor]: Taking taylor expansion of b in b 14.225 * [backup-simplify]: Simplify 0 into 0 14.225 * [backup-simplify]: Simplify 1 into 1 14.227 * [backup-simplify]: Simplify (/ 1 1) into 1 14.227 * [backup-simplify]: Simplify (+ 0 1) into 1 14.228 * [backup-simplify]: Simplify (/ PI 1) into PI 14.228 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 14.228 * [taylor]: Taking taylor expansion of PI in a 14.228 * [backup-simplify]: Simplify PI into PI 14.228 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.228 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.228 * [taylor]: Taking taylor expansion of a in a 14.228 * [backup-simplify]: Simplify 0 into 0 14.228 * [backup-simplify]: Simplify 1 into 1 14.228 * [backup-simplify]: Simplify (/ 1 1) into 1 14.228 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.228 * [taylor]: Taking taylor expansion of b in a 14.228 * [backup-simplify]: Simplify b into b 14.228 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.228 * [backup-simplify]: Simplify (+ 1 0) into 1 14.229 * [backup-simplify]: Simplify (/ PI 1) into PI 14.229 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 14.229 * [taylor]: Taking taylor expansion of PI in a 14.229 * [backup-simplify]: Simplify PI into PI 14.229 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.229 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.229 * [taylor]: Taking taylor expansion of a in a 14.229 * [backup-simplify]: Simplify 0 into 0 14.229 * [backup-simplify]: Simplify 1 into 1 14.229 * [backup-simplify]: Simplify (/ 1 1) into 1 14.229 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.229 * [taylor]: Taking taylor expansion of b in a 14.229 * [backup-simplify]: Simplify b into b 14.229 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.229 * [backup-simplify]: Simplify (+ 1 0) into 1 14.230 * [backup-simplify]: Simplify (/ PI 1) into PI 14.230 * [taylor]: Taking taylor expansion of PI in b 14.230 * [backup-simplify]: Simplify PI into PI 14.230 * [backup-simplify]: Simplify 0 into 0 14.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.230 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 14.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 14.231 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 14.231 * [taylor]: Taking taylor expansion of (/ PI b) in b 14.231 * [taylor]: Taking taylor expansion of PI in b 14.231 * [backup-simplify]: Simplify PI into PI 14.231 * [taylor]: Taking taylor expansion of b in b 14.231 * [backup-simplify]: Simplify 0 into 0 14.231 * [backup-simplify]: Simplify 1 into 1 14.231 * [backup-simplify]: Simplify (/ PI 1) into PI 14.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.233 * [backup-simplify]: Simplify (- 0) into 0 14.233 * [backup-simplify]: Simplify 0 into 0 14.233 * [backup-simplify]: Simplify 0 into 0 14.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 14.233 * [backup-simplify]: Simplify (+ 0 0) into 0 14.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 14.234 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 14.234 * [taylor]: Taking taylor expansion of PI in b 14.234 * [backup-simplify]: Simplify PI into PI 14.234 * [taylor]: Taking taylor expansion of (pow b 2) in b 14.234 * [taylor]: Taking taylor expansion of b in b 14.234 * [backup-simplify]: Simplify 0 into 0 14.234 * [backup-simplify]: Simplify 1 into 1 14.235 * [backup-simplify]: Simplify (* 1 1) into 1 14.235 * [backup-simplify]: Simplify (/ PI 1) into PI 14.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.238 * [backup-simplify]: Simplify 0 into 0 14.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.239 * [backup-simplify]: Simplify (- 0) into 0 14.239 * [backup-simplify]: Simplify 0 into 0 14.239 * [backup-simplify]: Simplify 0 into 0 14.239 * [backup-simplify]: Simplify 0 into 0 14.239 * [backup-simplify]: Simplify (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) 14.239 * [approximate]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 14.239 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 14.239 * [taylor]: Taking taylor expansion of -1 in b 14.239 * [backup-simplify]: Simplify -1 into -1 14.239 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 14.239 * [taylor]: Taking taylor expansion of PI in b 14.239 * [backup-simplify]: Simplify PI into PI 14.239 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.239 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.239 * [taylor]: Taking taylor expansion of a in b 14.239 * [backup-simplify]: Simplify a into a 14.239 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.239 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.239 * [taylor]: Taking taylor expansion of b in b 14.239 * [backup-simplify]: Simplify 0 into 0 14.239 * [backup-simplify]: Simplify 1 into 1 14.240 * [backup-simplify]: Simplify (/ 1 1) into 1 14.240 * [backup-simplify]: Simplify (+ 0 1) into 1 14.240 * [backup-simplify]: Simplify (/ PI 1) into PI 14.240 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 14.240 * [taylor]: Taking taylor expansion of -1 in a 14.240 * [backup-simplify]: Simplify -1 into -1 14.240 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 14.240 * [taylor]: Taking taylor expansion of PI in a 14.240 * [backup-simplify]: Simplify PI into PI 14.240 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.240 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.241 * [taylor]: Taking taylor expansion of a in a 14.241 * [backup-simplify]: Simplify 0 into 0 14.241 * [backup-simplify]: Simplify 1 into 1 14.241 * [backup-simplify]: Simplify (/ 1 1) into 1 14.241 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.241 * [taylor]: Taking taylor expansion of b in a 14.241 * [backup-simplify]: Simplify b into b 14.241 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.241 * [backup-simplify]: Simplify (+ 1 0) into 1 14.241 * [backup-simplify]: Simplify (/ PI 1) into PI 14.241 * [taylor]: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 14.241 * [taylor]: Taking taylor expansion of -1 in a 14.242 * [backup-simplify]: Simplify -1 into -1 14.242 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 14.242 * [taylor]: Taking taylor expansion of PI in a 14.242 * [backup-simplify]: Simplify PI into PI 14.242 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.242 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.242 * [taylor]: Taking taylor expansion of a in a 14.242 * [backup-simplify]: Simplify 0 into 0 14.242 * [backup-simplify]: Simplify 1 into 1 14.242 * [backup-simplify]: Simplify (/ 1 1) into 1 14.242 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.242 * [taylor]: Taking taylor expansion of b in a 14.242 * [backup-simplify]: Simplify b into b 14.242 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.242 * [backup-simplify]: Simplify (+ 1 0) into 1 14.243 * [backup-simplify]: Simplify (/ PI 1) into PI 14.243 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 14.243 * [taylor]: Taking taylor expansion of (* -1 PI) in b 14.243 * [taylor]: Taking taylor expansion of -1 in b 14.243 * [backup-simplify]: Simplify -1 into -1 14.243 * [taylor]: Taking taylor expansion of PI in b 14.243 * [backup-simplify]: Simplify PI into PI 14.243 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 14.243 * [backup-simplify]: Simplify 0 into 0 14.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.244 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 14.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 14.245 * [backup-simplify]: Simplify (+ (* -1 (- (/ PI b))) (* 0 PI)) into (/ PI b) 14.245 * [taylor]: Taking taylor expansion of (/ PI b) in b 14.245 * [taylor]: Taking taylor expansion of PI in b 14.245 * [backup-simplify]: Simplify PI into PI 14.245 * [taylor]: Taking taylor expansion of b in b 14.245 * [backup-simplify]: Simplify 0 into 0 14.245 * [backup-simplify]: Simplify 1 into 1 14.245 * [backup-simplify]: Simplify (/ PI 1) into PI 14.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.246 * [backup-simplify]: Simplify 0 into 0 14.247 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 14.247 * [backup-simplify]: Simplify 0 into 0 14.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 14.248 * [backup-simplify]: Simplify (+ 0 0) into 0 14.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 14.249 * [backup-simplify]: Simplify (+ (* -1 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (/ PI (pow b 2))) 14.249 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 14.249 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 14.249 * [taylor]: Taking taylor expansion of PI in b 14.249 * [backup-simplify]: Simplify PI into PI 14.249 * [taylor]: Taking taylor expansion of (pow b 2) in b 14.249 * [taylor]: Taking taylor expansion of b in b 14.249 * [backup-simplify]: Simplify 0 into 0 14.249 * [backup-simplify]: Simplify 1 into 1 14.250 * [backup-simplify]: Simplify (* 1 1) into 1 14.250 * [backup-simplify]: Simplify (/ PI 1) into PI 14.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.255 * [backup-simplify]: Simplify (- 0) into 0 14.255 * [backup-simplify]: Simplify 0 into 0 14.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.256 * [backup-simplify]: Simplify 0 into 0 14.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.257 * [backup-simplify]: Simplify 0 into 0 14.257 * [backup-simplify]: Simplify 0 into 0 14.257 * * * * [progress]: [ 4 / 4 ] generating series at (2) 14.258 * [backup-simplify]: Simplify (/ (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b))) (- b a)) into (* 0.5 (/ PI (* a (* (+ a b) b)))) 14.258 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* a (* (+ a b) b)))) in (b a) around 0 14.258 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* (+ a b) b)))) in a 14.258 * [taylor]: Taking taylor expansion of 0.5 in a 14.258 * [backup-simplify]: Simplify 0.5 into 0.5 14.258 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in a 14.258 * [taylor]: Taking taylor expansion of PI in a 14.258 * [backup-simplify]: Simplify PI into PI 14.258 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in a 14.258 * [taylor]: Taking taylor expansion of a in a 14.258 * [backup-simplify]: Simplify 0 into 0 14.258 * [backup-simplify]: Simplify 1 into 1 14.258 * [taylor]: Taking taylor expansion of (* (+ a b) b) in a 14.258 * [taylor]: Taking taylor expansion of (+ a b) in a 14.258 * [taylor]: Taking taylor expansion of a in a 14.258 * [backup-simplify]: Simplify 0 into 0 14.258 * [backup-simplify]: Simplify 1 into 1 14.258 * [taylor]: Taking taylor expansion of b in a 14.258 * [backup-simplify]: Simplify b into b 14.258 * [taylor]: Taking taylor expansion of b in a 14.258 * [backup-simplify]: Simplify b into b 14.258 * [backup-simplify]: Simplify (+ 0 b) into b 14.258 * [backup-simplify]: Simplify (* b b) into (pow b 2) 14.258 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 14.259 * [backup-simplify]: Simplify (+ 1 0) into 1 14.259 * [backup-simplify]: Simplify (+ (* b 0) (* 1 b)) into b 14.259 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 14.259 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 14.259 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* (+ a b) b)))) in b 14.260 * [taylor]: Taking taylor expansion of 0.5 in b 14.260 * [backup-simplify]: Simplify 0.5 into 0.5 14.260 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 14.260 * [taylor]: Taking taylor expansion of PI in b 14.260 * [backup-simplify]: Simplify PI into PI 14.260 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 14.260 * [taylor]: Taking taylor expansion of a in b 14.260 * [backup-simplify]: Simplify a into a 14.260 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 14.260 * [taylor]: Taking taylor expansion of (+ a b) in b 14.260 * [taylor]: Taking taylor expansion of a in b 14.260 * [backup-simplify]: Simplify a into a 14.260 * [taylor]: Taking taylor expansion of b in b 14.260 * [backup-simplify]: Simplify 0 into 0 14.260 * [backup-simplify]: Simplify 1 into 1 14.260 * [taylor]: Taking taylor expansion of b in b 14.260 * [backup-simplify]: Simplify 0 into 0 14.260 * [backup-simplify]: Simplify 1 into 1 14.260 * [backup-simplify]: Simplify (+ a 0) into a 14.260 * [backup-simplify]: Simplify (* a 0) into 0 14.260 * [backup-simplify]: Simplify (* a 0) into 0 14.261 * [backup-simplify]: Simplify (+ 0 1) into 1 14.261 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 14.261 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 14.262 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 14.262 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* (+ a b) b)))) in b 14.262 * [taylor]: Taking taylor expansion of 0.5 in b 14.262 * [backup-simplify]: Simplify 0.5 into 0.5 14.262 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) b))) in b 14.262 * [taylor]: Taking taylor expansion of PI in b 14.262 * [backup-simplify]: Simplify PI into PI 14.262 * [taylor]: Taking taylor expansion of (* a (* (+ a b) b)) in b 14.262 * [taylor]: Taking taylor expansion of a in b 14.262 * [backup-simplify]: Simplify a into a 14.262 * [taylor]: Taking taylor expansion of (* (+ a b) b) in b 14.262 * [taylor]: Taking taylor expansion of (+ a b) in b 14.262 * [taylor]: Taking taylor expansion of a in b 14.262 * [backup-simplify]: Simplify a into a 14.262 * [taylor]: Taking taylor expansion of b in b 14.262 * [backup-simplify]: Simplify 0 into 0 14.262 * [backup-simplify]: Simplify 1 into 1 14.262 * [taylor]: Taking taylor expansion of b in b 14.262 * [backup-simplify]: Simplify 0 into 0 14.262 * [backup-simplify]: Simplify 1 into 1 14.262 * [backup-simplify]: Simplify (+ a 0) into a 14.262 * [backup-simplify]: Simplify (* a 0) into 0 14.262 * [backup-simplify]: Simplify (* a 0) into 0 14.263 * [backup-simplify]: Simplify (+ 0 1) into 1 14.263 * [backup-simplify]: Simplify (+ (* a 1) (* 1 0)) into a 14.264 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 14.264 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 14.264 * [backup-simplify]: Simplify (* 0.5 (/ PI (pow a 2))) into (* 0.5 (/ PI (pow a 2))) 14.264 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 14.264 * [taylor]: Taking taylor expansion of 0.5 in a 14.264 * [backup-simplify]: Simplify 0.5 into 0.5 14.264 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.264 * [taylor]: Taking taylor expansion of PI in a 14.264 * [backup-simplify]: Simplify PI into PI 14.264 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.264 * [taylor]: Taking taylor expansion of a in a 14.264 * [backup-simplify]: Simplify 0 into 0 14.264 * [backup-simplify]: Simplify 1 into 1 14.265 * [backup-simplify]: Simplify (* 1 1) into 1 14.265 * [backup-simplify]: Simplify (/ PI 1) into PI 14.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 14.268 * [backup-simplify]: Simplify 0 into 0 14.268 * [backup-simplify]: Simplify (+ 0 0) into 0 14.269 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 1) (* 0 0))) into 1 14.269 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 a) (* 0 0))) into a 14.269 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ a (pow a 2))))) into (- (/ PI (pow a 3))) 14.269 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2)))) into (- (* 0.5 (/ PI (pow a 3)))) 14.269 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 14.269 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 14.269 * [taylor]: Taking taylor expansion of 0.5 in a 14.269 * [backup-simplify]: Simplify 0.5 into 0.5 14.269 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 14.269 * [taylor]: Taking taylor expansion of PI in a 14.269 * [backup-simplify]: Simplify PI into PI 14.269 * [taylor]: Taking taylor expansion of (pow a 3) in a 14.270 * [taylor]: Taking taylor expansion of a in a 14.270 * [backup-simplify]: Simplify 0 into 0 14.270 * [backup-simplify]: Simplify 1 into 1 14.270 * [backup-simplify]: Simplify (* 1 1) into 1 14.270 * [backup-simplify]: Simplify (* 1 1) into 1 14.270 * [backup-simplify]: Simplify (/ PI 1) into PI 14.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.274 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.274 * [backup-simplify]: Simplify (- 0) into 0 14.274 * [backup-simplify]: Simplify 0 into 0 14.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.276 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.276 * [backup-simplify]: Simplify 0 into 0 14.276 * [backup-simplify]: Simplify (+ 0 0) into 0 14.277 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 14.277 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (+ (* 0 a) (* 0 0)))) into 0 14.278 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ 0 (pow a 2))) (* (- (/ PI (pow a 3))) (/ a (pow a 2))))) into (/ PI (pow a 4)) 14.278 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 4))) (+ (* 0 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2))))) into (* 0.5 (/ PI (pow a 4))) 14.278 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 14.278 * [taylor]: Taking taylor expansion of 0.5 in a 14.278 * [backup-simplify]: Simplify 0.5 into 0.5 14.278 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 14.278 * [taylor]: Taking taylor expansion of PI in a 14.278 * [backup-simplify]: Simplify PI into PI 14.278 * [taylor]: Taking taylor expansion of (pow a 4) in a 14.278 * [taylor]: Taking taylor expansion of a in a 14.278 * [backup-simplify]: Simplify 0 into 0 14.278 * [backup-simplify]: Simplify 1 into 1 14.278 * [backup-simplify]: Simplify (* 1 1) into 1 14.279 * [backup-simplify]: Simplify (* 1 1) into 1 14.279 * [backup-simplify]: Simplify (/ PI 1) into PI 14.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.285 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.285 * [backup-simplify]: Simplify 0 into 0 14.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.287 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.288 * [backup-simplify]: Simplify (- 0) into 0 14.288 * [backup-simplify]: Simplify 0 into 0 14.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.290 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.290 * [backup-simplify]: Simplify 0 into 0 14.290 * [backup-simplify]: Simplify 0 into 0 14.290 * [backup-simplify]: Simplify (/ (/ (* (* (* 1.0 (- (/ 1 b) (/ 1 a))) (/ PI (+ (/ 1 a) (/ 1 b)))) 1.0) (* 2.0 (* (/ 1 a) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) into (* 0.5 (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b)))) 14.290 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 14.290 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b)))) in a 14.290 * [taylor]: Taking taylor expansion of 0.5 in a 14.290 * [backup-simplify]: Simplify 0.5 into 0.5 14.290 * [taylor]: Taking taylor expansion of (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b))) in a 14.290 * [taylor]: Taking taylor expansion of (* PI (* b a)) in a 14.290 * [taylor]: Taking taylor expansion of PI in a 14.290 * [backup-simplify]: Simplify PI into PI 14.290 * [taylor]: Taking taylor expansion of (* b a) in a 14.290 * [taylor]: Taking taylor expansion of b in a 14.290 * [backup-simplify]: Simplify b into b 14.290 * [taylor]: Taking taylor expansion of a in a 14.290 * [backup-simplify]: Simplify 0 into 0 14.290 * [backup-simplify]: Simplify 1 into 1 14.290 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.290 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.290 * [taylor]: Taking taylor expansion of a in a 14.290 * [backup-simplify]: Simplify 0 into 0 14.290 * [backup-simplify]: Simplify 1 into 1 14.291 * [backup-simplify]: Simplify (/ 1 1) into 1 14.291 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.291 * [taylor]: Taking taylor expansion of b in a 14.291 * [backup-simplify]: Simplify b into b 14.291 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.291 * [backup-simplify]: Simplify (* b 0) into 0 14.291 * [backup-simplify]: Simplify (* PI 0) into 0 14.291 * [backup-simplify]: Simplify (+ (* b 1) (* 0 0)) into b 14.291 * [backup-simplify]: Simplify (+ (* PI b) (* 0 0)) into (* PI b) 14.292 * [backup-simplify]: Simplify (+ 1 0) into 1 14.292 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 14.292 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b)))) in b 14.292 * [taylor]: Taking taylor expansion of 0.5 in b 14.292 * [backup-simplify]: Simplify 0.5 into 0.5 14.292 * [taylor]: Taking taylor expansion of (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b))) in b 14.292 * [taylor]: Taking taylor expansion of (* PI (* b a)) in b 14.292 * [taylor]: Taking taylor expansion of PI in b 14.292 * [backup-simplify]: Simplify PI into PI 14.292 * [taylor]: Taking taylor expansion of (* b a) in b 14.292 * [taylor]: Taking taylor expansion of b in b 14.292 * [backup-simplify]: Simplify 0 into 0 14.292 * [backup-simplify]: Simplify 1 into 1 14.292 * [taylor]: Taking taylor expansion of a in b 14.292 * [backup-simplify]: Simplify a into a 14.292 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.292 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.292 * [taylor]: Taking taylor expansion of a in b 14.292 * [backup-simplify]: Simplify a into a 14.292 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.292 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.292 * [taylor]: Taking taylor expansion of b in b 14.292 * [backup-simplify]: Simplify 0 into 0 14.292 * [backup-simplify]: Simplify 1 into 1 14.292 * [backup-simplify]: Simplify (/ 1 1) into 1 14.293 * [backup-simplify]: Simplify (* 0 a) into 0 14.293 * [backup-simplify]: Simplify (* PI 0) into 0 14.293 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 a)) into a 14.293 * [backup-simplify]: Simplify (+ (* PI a) (* 0 0)) into (* a PI) 14.294 * [backup-simplify]: Simplify (+ 0 1) into 1 14.294 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 14.294 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b)))) in b 14.294 * [taylor]: Taking taylor expansion of 0.5 in b 14.294 * [backup-simplify]: Simplify 0.5 into 0.5 14.294 * [taylor]: Taking taylor expansion of (/ (* PI (* b a)) (+ (/ 1 a) (/ 1 b))) in b 14.294 * [taylor]: Taking taylor expansion of (* PI (* b a)) in b 14.294 * [taylor]: Taking taylor expansion of PI in b 14.294 * [backup-simplify]: Simplify PI into PI 14.294 * [taylor]: Taking taylor expansion of (* b a) in b 14.294 * [taylor]: Taking taylor expansion of b in b 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [backup-simplify]: Simplify 1 into 1 14.294 * [taylor]: Taking taylor expansion of a in b 14.294 * [backup-simplify]: Simplify a into a 14.294 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.294 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.294 * [taylor]: Taking taylor expansion of a in b 14.294 * [backup-simplify]: Simplify a into a 14.294 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.294 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.294 * [taylor]: Taking taylor expansion of b in b 14.294 * [backup-simplify]: Simplify 0 into 0 14.294 * [backup-simplify]: Simplify 1 into 1 14.294 * [backup-simplify]: Simplify (/ 1 1) into 1 14.294 * [backup-simplify]: Simplify (* 0 a) into 0 14.295 * [backup-simplify]: Simplify (* PI 0) into 0 14.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 a)) into a 14.295 * [backup-simplify]: Simplify (+ (* PI a) (* 0 0)) into (* a PI) 14.295 * [backup-simplify]: Simplify (+ 0 1) into 1 14.295 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 14.296 * [backup-simplify]: Simplify (* 0.5 (* a PI)) into (* 0.5 (* a PI)) 14.296 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 14.296 * [taylor]: Taking taylor expansion of 0.5 in a 14.296 * [backup-simplify]: Simplify 0.5 into 0.5 14.296 * [taylor]: Taking taylor expansion of (* a PI) in a 14.296 * [taylor]: Taking taylor expansion of a in a 14.296 * [backup-simplify]: Simplify 0 into 0 14.296 * [backup-simplify]: Simplify 1 into 1 14.296 * [taylor]: Taking taylor expansion of PI in a 14.296 * [backup-simplify]: Simplify PI into PI 14.296 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 14.298 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.298 * [backup-simplify]: Simplify (* 0 PI) into 0 14.299 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 14.300 * [backup-simplify]: Simplify 0 into 0 14.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 14.301 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 a) (* 0 0))) into 0 14.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.302 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 14.304 * [backup-simplify]: Simplify (+ (* 0.5 (- PI)) (* 0 (* a PI))) into (- (* 0.5 PI)) 14.304 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 14.304 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 14.304 * [taylor]: Taking taylor expansion of 0.5 in a 14.304 * [backup-simplify]: Simplify 0.5 into 0.5 14.304 * [taylor]: Taking taylor expansion of PI in a 14.304 * [backup-simplify]: Simplify PI into PI 14.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.306 * [backup-simplify]: Simplify (- 0) into 0 14.306 * [backup-simplify]: Simplify 0 into 0 14.307 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.308 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.308 * [backup-simplify]: Simplify 0 into 0 14.309 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 14.310 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 a) (* 0 0)))) into 0 14.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.311 * [backup-simplify]: Simplify (+ 0 0) into 0 14.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 14.312 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (* 0.5 (/ PI a)) 14.312 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 14.312 * [taylor]: Taking taylor expansion of 0.5 in a 14.312 * [backup-simplify]: Simplify 0.5 into 0.5 14.312 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.312 * [taylor]: Taking taylor expansion of PI in a 14.312 * [backup-simplify]: Simplify PI into PI 14.312 * [taylor]: Taking taylor expansion of a in a 14.312 * [backup-simplify]: Simplify 0 into 0 14.312 * [backup-simplify]: Simplify 1 into 1 14.312 * [backup-simplify]: Simplify (/ PI 1) into PI 14.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.315 * [backup-simplify]: Simplify 0 into 0 14.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.316 * [backup-simplify]: Simplify (- 0) into 0 14.316 * [backup-simplify]: Simplify 0 into 0 14.317 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 14.317 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 14.317 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify (/ (/ (* (* (* 1.0 (- (/ 1 (- b)) (/ 1 (- a)))) (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) 1.0) (* 2.0 (* (/ 1 (- a)) (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) 14.318 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 14.318 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in a 14.318 * [taylor]: Taking taylor expansion of -0.5 in a 14.318 * [backup-simplify]: Simplify -0.5 into -0.5 14.318 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 14.318 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 14.318 * [taylor]: Taking taylor expansion of a in a 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify 1 into 1 14.318 * [taylor]: Taking taylor expansion of (* PI b) in a 14.318 * [taylor]: Taking taylor expansion of PI in a 14.318 * [backup-simplify]: Simplify PI into PI 14.318 * [taylor]: Taking taylor expansion of b in a 14.318 * [backup-simplify]: Simplify b into b 14.318 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.318 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.318 * [taylor]: Taking taylor expansion of a in a 14.318 * [backup-simplify]: Simplify 0 into 0 14.318 * [backup-simplify]: Simplify 1 into 1 14.319 * [backup-simplify]: Simplify (/ 1 1) into 1 14.319 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.319 * [taylor]: Taking taylor expansion of b in a 14.319 * [backup-simplify]: Simplify b into b 14.319 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.319 * [backup-simplify]: Simplify (* PI b) into (* b PI) 14.319 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 14.319 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 14.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 14.320 * [backup-simplify]: Simplify (+ 1 0) into 1 14.320 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 14.320 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in b 14.320 * [taylor]: Taking taylor expansion of -0.5 in b 14.320 * [backup-simplify]: Simplify -0.5 into -0.5 14.320 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 14.320 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 14.320 * [taylor]: Taking taylor expansion of a in b 14.320 * [backup-simplify]: Simplify a into a 14.320 * [taylor]: Taking taylor expansion of (* PI b) in b 14.320 * [taylor]: Taking taylor expansion of PI in b 14.320 * [backup-simplify]: Simplify PI into PI 14.320 * [taylor]: Taking taylor expansion of b in b 14.320 * [backup-simplify]: Simplify 0 into 0 14.320 * [backup-simplify]: Simplify 1 into 1 14.320 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.320 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.320 * [taylor]: Taking taylor expansion of a in b 14.320 * [backup-simplify]: Simplify a into a 14.320 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.320 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.320 * [taylor]: Taking taylor expansion of b in b 14.320 * [backup-simplify]: Simplify 0 into 0 14.320 * [backup-simplify]: Simplify 1 into 1 14.320 * [backup-simplify]: Simplify (/ 1 1) into 1 14.321 * [backup-simplify]: Simplify (* PI 0) into 0 14.321 * [backup-simplify]: Simplify (* a 0) into 0 14.322 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 14.322 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 14.322 * [backup-simplify]: Simplify (+ 0 1) into 1 14.322 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 14.322 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in b 14.322 * [taylor]: Taking taylor expansion of -0.5 in b 14.322 * [backup-simplify]: Simplify -0.5 into -0.5 14.322 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 14.322 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 14.322 * [taylor]: Taking taylor expansion of a in b 14.322 * [backup-simplify]: Simplify a into a 14.322 * [taylor]: Taking taylor expansion of (* PI b) in b 14.322 * [taylor]: Taking taylor expansion of PI in b 14.322 * [backup-simplify]: Simplify PI into PI 14.322 * [taylor]: Taking taylor expansion of b in b 14.322 * [backup-simplify]: Simplify 0 into 0 14.322 * [backup-simplify]: Simplify 1 into 1 14.322 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.322 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.322 * [taylor]: Taking taylor expansion of a in b 14.322 * [backup-simplify]: Simplify a into a 14.322 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.322 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.322 * [taylor]: Taking taylor expansion of b in b 14.322 * [backup-simplify]: Simplify 0 into 0 14.322 * [backup-simplify]: Simplify 1 into 1 14.323 * [backup-simplify]: Simplify (/ 1 1) into 1 14.323 * [backup-simplify]: Simplify (* PI 0) into 0 14.323 * [backup-simplify]: Simplify (* a 0) into 0 14.324 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 14.324 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 14.325 * [backup-simplify]: Simplify (+ 0 1) into 1 14.325 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 14.325 * [backup-simplify]: Simplify (* -0.5 (* a PI)) into (* -0.5 (* a PI)) 14.325 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 14.325 * [taylor]: Taking taylor expansion of -0.5 in a 14.325 * [backup-simplify]: Simplify -0.5 into -0.5 14.325 * [taylor]: Taking taylor expansion of (* a PI) in a 14.325 * [taylor]: Taking taylor expansion of a in a 14.325 * [backup-simplify]: Simplify 0 into 0 14.325 * [backup-simplify]: Simplify 1 into 1 14.325 * [taylor]: Taking taylor expansion of PI in a 14.325 * [backup-simplify]: Simplify PI into PI 14.325 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 14.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.329 * [backup-simplify]: Simplify (* 0 PI) into 0 14.330 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 14.330 * [backup-simplify]: Simplify 0 into 0 14.330 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 14.331 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 PI) (* 0 0))) into 0 14.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.331 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 14.332 * [backup-simplify]: Simplify (+ (* -0.5 (- PI)) (* 0 (* a PI))) into (* 0.5 PI) 14.332 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 14.332 * [taylor]: Taking taylor expansion of 0.5 in a 14.332 * [backup-simplify]: Simplify 0.5 into 0.5 14.332 * [taylor]: Taking taylor expansion of PI in a 14.332 * [backup-simplify]: Simplify PI into PI 14.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.333 * [backup-simplify]: Simplify 0 into 0 14.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.334 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.334 * [backup-simplify]: Simplify 0 into 0 14.335 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.335 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.336 * [backup-simplify]: Simplify (+ 0 0) into 0 14.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 14.338 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (- (* 0.5 (/ PI a))) 14.338 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 14.338 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 14.338 * [taylor]: Taking taylor expansion of 0.5 in a 14.338 * [backup-simplify]: Simplify 0.5 into 0.5 14.338 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.338 * [taylor]: Taking taylor expansion of PI in a 14.338 * [backup-simplify]: Simplify PI into PI 14.338 * [taylor]: Taking taylor expansion of a in a 14.338 * [backup-simplify]: Simplify 0 into 0 14.338 * [backup-simplify]: Simplify 1 into 1 14.338 * [backup-simplify]: Simplify (/ PI 1) into PI 14.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.341 * [backup-simplify]: Simplify (- 0) into 0 14.341 * [backup-simplify]: Simplify 0 into 0 14.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.342 * [backup-simplify]: Simplify 0 into 0 14.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 14.345 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 14.345 * [backup-simplify]: Simplify 0 into 0 14.345 * [backup-simplify]: Simplify 0 into 0 14.345 * * * [progress]: simplifying candidates 14.352 * [simplify]: Simplifying: (- (+ (+ (+ (log 1.0) (log (- b a))) (- (log PI) (log (+ a b)))) (log 1.0)) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (+ (+ (log 1.0) (log (- b a))) (- (log PI) (log (+ a b)))) (log 1.0)) (+ (log 2.0) (log (* a b)))) (- (+ (+ (+ (log 1.0) (log (- b a))) (- (log PI) (log (+ a b)))) (log 1.0)) (log (* 2.0 (* a b)))) (- (+ (+ (+ (log 1.0) (log (- b a))) (log (/ PI (+ a b)))) (log 1.0)) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (+ (+ (log 1.0) (log (- b a))) (log (/ PI (+ a b)))) (log 1.0)) (+ (log 2.0) (log (* a b)))) (- (+ (+ (+ (log 1.0) (log (- b a))) (log (/ PI (+ a b)))) (log 1.0)) (log (* 2.0 (* a b)))) (- (+ (+ (log (* 1.0 (- b a))) (- (log PI) (log (+ a b)))) (log 1.0)) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (+ (log (* 1.0 (- b a))) (- (log PI) (log (+ a b)))) (log 1.0)) (+ (log 2.0) (log (* a b)))) (- (+ (+ (log (* 1.0 (- b a))) (- (log PI) (log (+ a b)))) (log 1.0)) (log (* 2.0 (* a b)))) (- (+ (+ (log (* 1.0 (- b a))) (log (/ PI (+ a b)))) (log 1.0)) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (+ (log (* 1.0 (- b a))) (log (/ PI (+ a b)))) (log 1.0)) (+ (log 2.0) (log (* a b)))) (- (+ (+ (log (* 1.0 (- b a))) (log (/ PI (+ a b)))) (log 1.0)) (log (* 2.0 (* a b)))) (- (+ (log (* (* 1.0 (- b a)) (/ PI (+ a b)))) (log 1.0)) (+ (log 2.0) (+ (log a) (log b)))) (- (+ (log (* (* 1.0 (- b a)) (/ PI (+ a b)))) (log 1.0)) (+ (log 2.0) (log (* a b)))) (- (+ (log (* (* 1.0 (- b a)) (/ PI (+ a b)))) (log 1.0)) (log (* 2.0 (* a b)))) (- (log (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0)) (+ (log 2.0) (+ (log a) (log b)))) (- (log (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0)) (+ (log 2.0) (log (* a b)))) (- (log (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0)) (log (* 2.0 (* a b)))) (log (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b)))) (exp (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b)))) (/ (* (* (* (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a a) a) (* (* b b) b)))) (/ (* (* (* (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a b) (* a b)) (* a b)))) (/ (* (* (* (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 (* a b)) (* 2.0 (* a b))) (* 2.0 (* a b)))) (/ (* (* (* (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a a) a) (* (* b b) b)))) (/ (* (* (* (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a b) (* a b)) (* a b)))) (/ (* (* (* (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 (* a b)) (* 2.0 (* a b))) (* 2.0 (* a b)))) (/ (* (* (* (* (* 1.0 (- b a)) (* 1.0 (- b a))) (* 1.0 (- b a))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a a) a) (* (* b b) b)))) (/ (* (* (* (* (* 1.0 (- b a)) (* 1.0 (- b a))) (* 1.0 (- b a))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a b) (* a b)) (* a b)))) (/ (* (* (* (* (* 1.0 (- b a)) (* 1.0 (- b a))) (* 1.0 (- b a))) (/ (* (* PI PI) PI) (* (* (+ a b) (+ a b)) (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 (* a b)) (* 2.0 (* a b))) (* 2.0 (* a b)))) (/ (* (* (* (* (* 1.0 (- b a)) (* 1.0 (- b a))) (* 1.0 (- b a))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a a) a) (* (* b b) b)))) (/ (* (* (* (* (* 1.0 (- b a)) (* 1.0 (- b a))) (* 1.0 (- b a))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a b) (* a b)) (* a b)))) (/ (* (* (* (* (* 1.0 (- b a)) (* 1.0 (- b a))) (* 1.0 (- b a))) (* (* (/ PI (+ a b)) (/ PI (+ a b))) (/ PI (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 (* a b)) (* 2.0 (* a b))) (* 2.0 (* a b)))) (/ (* (* (* (* (* 1.0 (- b a)) (/ PI (+ a b))) (* (* 1.0 (- b a)) (/ PI (+ a b)))) (* (* 1.0 (- b a)) (/ PI (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a a) a) (* (* b b) b)))) (/ (* (* (* (* (* 1.0 (- b a)) (/ PI (+ a b))) (* (* 1.0 (- b a)) (/ PI (+ a b)))) (* (* 1.0 (- b a)) (/ PI (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a b) (* a b)) (* a b)))) (/ (* (* (* (* (* 1.0 (- b a)) (/ PI (+ a b))) (* (* 1.0 (- b a)) (/ PI (+ a b)))) (* (* 1.0 (- b a)) (/ PI (+ a b)))) (* (* 1.0 1.0) 1.0)) (* (* (* 2.0 (* a b)) (* 2.0 (* a b))) (* 2.0 (* a b)))) (/ (* (* (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0)) (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a a) a) (* (* b b) b)))) (/ (* (* (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0)) (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0)) (* (* (* 2.0 2.0) 2.0) (* (* (* a b) (* a b)) (* a b)))) (/ (* (* (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0)) (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0)) (* (* (* 2.0 (* a b)) (* 2.0 (* a b))) (* 2.0 (* a b)))) (* (cbrt (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b)))) (cbrt (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b))))) (cbrt (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b)))) (* (* (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b))) (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b)))) (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b)))) (sqrt (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b)))) (sqrt (/ (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0) (* 2.0 (* a b)))) (- (* (* (* 1.0 (- b a)) (/ PI (+ a b))) 1.0)) (- (* 2.0 (* a b))) (/ (* (* 1.0 (- b a)) (/ PI (+ a b))) 2.0) (/ 1.0 (* a b)) (/ 1 (* 2.0 (* a b))) (/ (* 2.0 (* a b)) 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14.502 * * [simplify]: iteration 1: 1012 enodes 15.032 * * [simplify]: iteration complete: 5000 enodes 15.032 * * [simplify]: Extracting #0: cost 163 inf + 0 15.037 * * [simplify]: Extracting #1: cost 1234 inf + 44 15.050 * * [simplify]: Extracting #2: cost 1988 inf + 5523 15.082 * * [simplify]: Extracting #3: cost 1477 inf + 109181 15.161 * * [simplify]: Extracting #4: cost 492 inf + 425594 15.342 * * [simplify]: Extracting #5: cost 36 inf + 604733 15.542 * * [simplify]: Extracting #6: cost 0 inf + 614501 15.706 * * [simplify]: Extracting #7: cost 0 inf + 613821 15.910 * [simplify]: Simplified to: (log (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a))) (log (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a))) (log (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a))) (log (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a))) (log (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a))) (log (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b 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b a)) 2.0)) (/ (/ 1.0 (* b a)) (sqrt (- b a))) (/ (* 1.0 (- b a)) (/ 2.0 (/ PI (+ a b)))) (/ (/ 1.0 (* b a)) (- b a)) (/ (* (/ (* PI 1.0) (+ a b)) (- b a)) (* (+ (sqrt a) (sqrt b)) 2.0)) (/ (/ 1.0 (* b a)) (- (sqrt b) (sqrt a))) (/ (* 1.0 (- b a)) (/ 2.0 (/ PI (+ a b)))) (/ (/ 1.0 (* b a)) (- b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) (* (cbrt (- b a)) (* 2.0 (* b a)))) (/ 1 (sqrt (- b a))) (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) (sqrt (- b a))) (* 2.0 (* b a))) 1 (/ (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a)) (- b a)) (/ 1 (+ (sqrt a) (sqrt b))) (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) (* (- (sqrt b) (sqrt a)) (* 2.0 (* b a)))) 1 (/ (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a)) (- b a)) (/ (* (* (/ (* PI 1.0) (+ a b)) (- b a)) (/ 1.0 (cbrt (- b a)))) (cbrt (- b a))) (/ 1 (* (cbrt (- b a)) (* 2.0 (* b a)))) (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) (sqrt (- b a))) (/ (/ (/ 1 2.0) (* b a)) (sqrt (- b a))) (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) (/ 1 (* (* 2.0 (* b a)) (- b a))) (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) (+ (sqrt a) (sqrt b))) (/ (/ (/ 1 2.0) (* b a)) (- (sqrt b) (sqrt a))) (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) (/ 1 (* (* 2.0 (* b a)) (- b a))) (/ 1 (- b a)) (* (/ (- b a) (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a)))) (* 2.0 (* b a))) (/ (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) (sqrt (- b a))) (* 2.0 (* b a))) (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a)) (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) (+ (sqrt a) (sqrt b))) (* 2.0 (* b a))) (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a)) (/ (- b a) (cbrt (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a)))) (/ (- b a) (sqrt (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) 2.0) (* b a)))) (/ (- b a) (/ 1.0 (* b a))) (* (/ (- b a) (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a)))) (* 2.0 (* b a))) (* (* 2.0 (* b a)) (- b a)) (/ (/ (* (* 1.0 1.0) (* (/ PI (+ a b)) (- b a))) (- (* (* b b) b) (* a (* a a)))) (* 2.0 (* b a))) (* (/ (/ (* 1.0 (- b a)) (/ 2.0 (/ PI (+ a b)))) (+ a b)) (/ (/ 1.0 (* b a)) (- b a))) (* (* 2.0 (* b a)) (- b a)) (/ (* PI -0.5) (* b a)) (/ (* 0.5 (/ PI a)) b) (/ (* 0.5 (/ PI a)) b) (* -1.0 PI) (* PI 1.0) (* PI 1.0) 0 0 0 0 0 0 15.950 * * * [progress]: adding candidates to table 17.111 * [progress]: [Phase 3 of 3] Extracting. 17.111 * * [regime]: Finding splitpoints for: (# # # # # # #) 17.115 * * * [regime-changes]: Trying 2 branch expressions: (b a) 17.115 * * * * [regimes]: Trying to branch on b from (# # # # # # #) 17.177 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 17.261 * * * [regime]: Found split indices: #