17.130 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.053 * * * [progress]: [2/2] Setting up program. 0.058 * [progress]: [Phase 2 of 3] Improving. 0.058 * [simplify]: Simplifying: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 0.058 * * [simplify]: Extracting # 0 : cost 0 0.058 * * [simplify]: Extracting # 1 : cost 0 0.058 * * [simplify]: Extracting # 2 : cost 0 0.059 * * [simplify]: Extracting # 3 : cost 0 0.059 * * [simplify]: Extracting # 4 : cost 0 0.059 * * [simplify]: Extracting # 5 : cost 0 0.059 * * [simplify]: Extracting # 6 : cost 0 0.059 * * [simplify]: Extracting # 7 : cost 0 0.059 * * [simplify]: iteration 0 : 15 enodes (cost 21 ) 0.065 * * [simplify]: Extracting # 0 : cost 0 0.066 * * [simplify]: Extracting # 1 : cost 0 0.066 * * [simplify]: Extracting # 2 : cost 0 0.066 * * [simplify]: iteration 1 : 31 enodes (cost 21 ) 0.080 * * [simplify]: Extracting # 0 : cost 0 0.080 * * [simplify]: Extracting # 1 : cost 0 0.080 * * [simplify]: Extracting # 2 : cost 0 0.080 * * [simplify]: iteration 2 : 90 enodes (cost 21 ) 0.136 * * [simplify]: Extracting # 0 : cost 0 0.137 * * [simplify]: Extracting # 1 : cost 0 0.138 * * [simplify]: Extracting # 2 : cost 0 0.139 * * [simplify]: iteration 3 : 385 enodes (cost 21 ) 0.573 * * [simplify]: Extracting # 0 : cost 0 0.578 * * [simplify]: Extracting # 1 : cost 0 0.582 * * [simplify]: Extracting # 2 : cost 0 0.587 * * [simplify]: iteration 4 : 1860 enodes (cost 21 ) 2.189 * * [simplify]: Extracting # 0 : cost 0 2.199 * * [simplify]: Extracting # 1 : cost 0 2.209 * * [simplify]: Extracting # 2 : cost 0 2.218 * * [simplify]: iteration done: 5001 enodes (cost 21 ) 2.218 * [simplify]: Simplified to: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 2.219 * * [progress]: iteration 1 / 4 2.219 * * * [progress]: picking best candidate 2.223 * * * * [pick]: Picked # 2.223 * * * [progress]: localizing error 2.270 * * * [progress]: generating rewritten candidates 2.270 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.465 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.480 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.494 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.603 * * * [progress]: generating series expansions 2.603 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.604 * [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)))) 2.604 * [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 2.604 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in a 2.604 * [taylor]: Taking taylor expansion of 0.5 in a 2.604 * [backup-simplify]: Simplify 0.5 into 0.5 2.604 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in a 2.604 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 2.604 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 2.604 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 2.604 * [taylor]: Taking taylor expansion of 1.0 in a 2.605 * [backup-simplify]: Simplify 1.0 into 1.0 2.605 * [taylor]: Taking taylor expansion of (/ 1 a) 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 2.605 * [backup-simplify]: Simplify (/ 1 1) into 1 2.605 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 2.605 * [taylor]: Taking taylor expansion of 1.0 in a 2.605 * [backup-simplify]: Simplify 1.0 into 1.0 2.605 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.605 * [taylor]: Taking taylor expansion of b in a 2.605 * [backup-simplify]: Simplify b into b 2.605 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 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 b 2) (pow a 2)) in a 2.605 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.605 * [taylor]: Taking taylor expansion of b in a 2.605 * [backup-simplify]: Simplify b into b 2.605 * [taylor]: Taking taylor expansion of (pow a 2) 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 (* 1.0 1) into 1.0 2.606 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.606 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 2.606 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.606 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.607 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 2.607 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.607 * [taylor]: Taking taylor expansion of 0.5 in b 2.607 * [backup-simplify]: Simplify 0.5 into 0.5 2.607 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.607 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.607 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.607 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.607 * [taylor]: Taking taylor expansion of 1.0 in b 2.607 * [backup-simplify]: Simplify 1.0 into 1.0 2.607 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.607 * [taylor]: Taking taylor expansion of a in b 2.607 * [backup-simplify]: Simplify a into a 2.607 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.607 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.607 * [taylor]: Taking taylor expansion of 1.0 in b 2.607 * [backup-simplify]: Simplify 1.0 into 1.0 2.607 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.607 * [taylor]: Taking taylor expansion of b in b 2.607 * [backup-simplify]: Simplify 0 into 0 2.607 * [backup-simplify]: Simplify 1 into 1 2.608 * [backup-simplify]: Simplify (/ 1 1) into 1 2.608 * [taylor]: Taking taylor expansion of PI in b 2.608 * [backup-simplify]: Simplify PI into PI 2.608 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.608 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.608 * [taylor]: Taking taylor expansion of b in b 2.608 * [backup-simplify]: Simplify 0 into 0 2.608 * [backup-simplify]: Simplify 1 into 1 2.608 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.608 * [taylor]: Taking taylor expansion of a in b 2.608 * [backup-simplify]: Simplify a into a 2.608 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.608 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.609 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.609 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 2.609 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.609 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.610 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.610 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 2.610 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.610 * [taylor]: Taking taylor expansion of 0.5 in b 2.610 * [backup-simplify]: Simplify 0.5 into 0.5 2.610 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.610 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.610 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.610 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.610 * [taylor]: Taking taylor expansion of 1.0 in b 2.610 * [backup-simplify]: Simplify 1.0 into 1.0 2.610 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.610 * [taylor]: Taking taylor expansion of a in b 2.610 * [backup-simplify]: Simplify a into a 2.610 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.610 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.610 * [taylor]: Taking taylor expansion of 1.0 in b 2.610 * [backup-simplify]: Simplify 1.0 into 1.0 2.610 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.610 * [taylor]: Taking taylor expansion of b in b 2.610 * [backup-simplify]: Simplify 0 into 0 2.610 * [backup-simplify]: Simplify 1 into 1 2.611 * [backup-simplify]: Simplify (/ 1 1) into 1 2.611 * [taylor]: Taking taylor expansion of PI in b 2.611 * [backup-simplify]: Simplify PI into PI 2.611 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.611 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.611 * [taylor]: Taking taylor expansion of b in b 2.611 * [backup-simplify]: Simplify 0 into 0 2.611 * [backup-simplify]: Simplify 1 into 1 2.611 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.611 * [taylor]: Taking taylor expansion of a in b 2.611 * [backup-simplify]: Simplify a into a 2.611 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.611 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.612 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.613 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 2.613 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.613 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.613 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.614 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 2.614 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 2.614 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.614 * [taylor]: Taking taylor expansion of 0.5 in a 2.614 * [backup-simplify]: Simplify 0.5 into 0.5 2.614 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.614 * [taylor]: Taking taylor expansion of PI in a 2.614 * [backup-simplify]: Simplify PI into PI 2.614 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.614 * [taylor]: Taking taylor expansion of a in a 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 1 into 1 2.614 * [backup-simplify]: Simplify (* 1 1) into 1 2.615 * [backup-simplify]: Simplify (/ PI 1) into PI 2.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.616 * [backup-simplify]: Simplify 0 into 0 2.616 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 2.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.617 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.617 * [backup-simplify]: Simplify (- 0) into 0 2.617 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 2.618 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 2.618 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.618 * [backup-simplify]: Simplify (- 0) into 0 2.618 * [backup-simplify]: Simplify (+ 0 0) into 0 2.619 * [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)))) 2.619 * [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)))) 2.619 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 2.619 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 2.619 * [taylor]: Taking taylor expansion of 0.5 in a 2.619 * [backup-simplify]: Simplify 0.5 into 0.5 2.619 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 2.619 * [taylor]: Taking taylor expansion of PI in a 2.619 * [backup-simplify]: Simplify PI into PI 2.619 * [taylor]: Taking taylor expansion of (pow a 3) in a 2.619 * [taylor]: Taking taylor expansion of a in a 2.619 * [backup-simplify]: Simplify 0 into 0 2.619 * [backup-simplify]: Simplify 1 into 1 2.619 * [backup-simplify]: Simplify (* 1 1) into 1 2.620 * [backup-simplify]: Simplify (* 1 1) into 1 2.620 * [backup-simplify]: Simplify (/ PI 1) into PI 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.624 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.624 * [backup-simplify]: Simplify (- 0) into 0 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.626 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.626 * [backup-simplify]: Simplify 0 into 0 2.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.626 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 2.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.627 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 2.627 * [backup-simplify]: Simplify (- 0) into 0 2.628 * [backup-simplify]: Simplify (+ 0 0) into 0 2.628 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 2.629 * [backup-simplify]: Simplify (* 1 1) into 1 2.629 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.629 * [backup-simplify]: Simplify (- 0) into 0 2.629 * [backup-simplify]: Simplify (+ 1 0) into 1 2.630 * [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))) 2.630 * [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))) 2.630 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.630 * [taylor]: Taking taylor expansion of 0.5 in a 2.631 * [backup-simplify]: Simplify 0.5 into 0.5 2.631 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.631 * [taylor]: Taking taylor expansion of PI in a 2.631 * [backup-simplify]: Simplify PI into PI 2.631 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.631 * [taylor]: Taking taylor expansion of a in a 2.631 * [backup-simplify]: Simplify 0 into 0 2.631 * [backup-simplify]: Simplify 1 into 1 2.631 * [backup-simplify]: Simplify (* 1 1) into 1 2.631 * [backup-simplify]: Simplify (* 1 1) into 1 2.631 * [backup-simplify]: Simplify (/ PI 1) into PI 2.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.637 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.637 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.639 * [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 2.640 * [backup-simplify]: Simplify 0 into 0 2.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.641 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.641 * [backup-simplify]: Simplify 0 into 0 2.641 * [backup-simplify]: Simplify 0 into 0 2.642 * [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))))) 2.642 * [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 2.642 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.642 * [taylor]: Taking taylor expansion of 0.5 in a 2.642 * [backup-simplify]: Simplify 0.5 into 0.5 2.642 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.642 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 2.642 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 2.642 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.642 * [taylor]: Taking taylor expansion of 1.0 in a 2.642 * [backup-simplify]: Simplify 1.0 into 1.0 2.642 * [taylor]: Taking taylor expansion of a in a 2.642 * [backup-simplify]: Simplify 0 into 0 2.642 * [backup-simplify]: Simplify 1 into 1 2.642 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.642 * [taylor]: Taking taylor expansion of 1.0 in a 2.642 * [backup-simplify]: Simplify 1.0 into 1.0 2.642 * [taylor]: Taking taylor expansion of b in a 2.642 * [backup-simplify]: Simplify b into b 2.642 * [taylor]: Taking taylor expansion of PI in a 2.642 * [backup-simplify]: Simplify PI into PI 2.643 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.643 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.643 * [taylor]: Taking taylor expansion of b in a 2.643 * [backup-simplify]: Simplify b into b 2.643 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.643 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.643 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.643 * [taylor]: Taking taylor expansion of a in a 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (* 1 1) into 1 2.643 * [backup-simplify]: Simplify (/ 1 1) into 1 2.644 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.644 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 2.644 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 2.644 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 2.644 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 2.644 * [backup-simplify]: Simplify (- 1) into -1 2.644 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.645 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 2.645 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.645 * [taylor]: Taking taylor expansion of 0.5 in b 2.645 * [backup-simplify]: Simplify 0.5 into 0.5 2.645 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.645 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.645 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.645 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.645 * [taylor]: Taking taylor expansion of 1.0 in b 2.645 * [backup-simplify]: Simplify 1.0 into 1.0 2.645 * [taylor]: Taking taylor expansion of a in b 2.645 * [backup-simplify]: Simplify a into a 2.645 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.645 * [taylor]: Taking taylor expansion of 1.0 in b 2.645 * [backup-simplify]: Simplify 1.0 into 1.0 2.645 * [taylor]: Taking taylor expansion of b in b 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 1 into 1 2.645 * [taylor]: Taking taylor expansion of PI in b 2.645 * [backup-simplify]: Simplify PI into PI 2.645 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.645 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.645 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.645 * [taylor]: Taking taylor expansion of b in b 2.645 * [backup-simplify]: Simplify 0 into 0 2.645 * [backup-simplify]: Simplify 1 into 1 2.645 * [backup-simplify]: Simplify (* 1 1) into 1 2.646 * [backup-simplify]: Simplify (/ 1 1) into 1 2.646 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.646 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.646 * [taylor]: Taking taylor expansion of a in b 2.646 * [backup-simplify]: Simplify a into a 2.646 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.646 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.646 * [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)) 2.647 * [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) 2.648 * [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)) 2.649 * [backup-simplify]: Simplify (+ 1 0) into 1 2.649 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 2.649 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 2.649 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 2.649 * [taylor]: Taking taylor expansion of 0.5 in a 2.649 * [backup-simplify]: Simplify 0.5 into 0.5 2.649 * [taylor]: Taking taylor expansion of (* a PI) in a 2.649 * [taylor]: Taking taylor expansion of a in a 2.649 * [backup-simplify]: Simplify 0 into 0 2.649 * [backup-simplify]: Simplify 1 into 1 2.649 * [taylor]: Taking taylor expansion of PI in a 2.649 * [backup-simplify]: Simplify PI into PI 2.650 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.651 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.652 * [backup-simplify]: Simplify (* 0 PI) into 0 2.652 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 2.652 * [backup-simplify]: Simplify 0 into 0 2.653 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 2.653 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.654 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.654 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.655 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 2.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.656 * [backup-simplify]: Simplify (+ 0 0) into 0 2.657 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 2.658 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 2.658 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 2.658 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.658 * [taylor]: Taking taylor expansion of 0.5 in a 2.658 * [backup-simplify]: Simplify 0.5 into 0.5 2.658 * [taylor]: Taking taylor expansion of PI in a 2.658 * [backup-simplify]: Simplify PI into PI 2.659 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.659 * [backup-simplify]: Simplify (- 0) into 0 2.659 * [backup-simplify]: Simplify 0 into 0 2.660 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.661 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.661 * [backup-simplify]: Simplify 0 into 0 2.661 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 2.662 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.662 * [backup-simplify]: Simplify (- 0) into 0 2.662 * [backup-simplify]: Simplify (+ 0 0) into 0 2.670 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 2.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.672 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.672 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 2.674 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 2.674 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.674 * [taylor]: Taking taylor expansion of 0.5 in a 2.674 * [backup-simplify]: Simplify 0.5 into 0.5 2.674 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.674 * [taylor]: Taking taylor expansion of PI in a 2.674 * [backup-simplify]: Simplify PI into PI 2.674 * [taylor]: Taking taylor expansion of a in a 2.674 * [backup-simplify]: Simplify 0 into 0 2.674 * [backup-simplify]: Simplify 1 into 1 2.674 * [backup-simplify]: Simplify (/ PI 1) into PI 2.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.677 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.678 * [backup-simplify]: Simplify (- 0) into 0 2.678 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify 0 into 0 2.680 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 2.680 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.680 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.680 * [taylor]: Taking taylor expansion of 0.5 in a 2.680 * [backup-simplify]: Simplify 0.5 into 0.5 2.680 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.680 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 2.680 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 2.680 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.681 * [taylor]: Taking taylor expansion of 1.0 in a 2.681 * [backup-simplify]: Simplify 1.0 into 1.0 2.681 * [taylor]: Taking taylor expansion of b in a 2.681 * [backup-simplify]: Simplify b into b 2.681 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.681 * [taylor]: Taking taylor expansion of 1.0 in a 2.681 * [backup-simplify]: Simplify 1.0 into 1.0 2.681 * [taylor]: Taking taylor expansion of a in a 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [taylor]: Taking taylor expansion of PI in a 2.681 * [backup-simplify]: Simplify PI into PI 2.681 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.681 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.681 * [taylor]: Taking taylor expansion of b in a 2.681 * [backup-simplify]: Simplify b into b 2.681 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.681 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.681 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.681 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.681 * [taylor]: Taking taylor expansion of a in a 2.681 * [backup-simplify]: Simplify 0 into 0 2.681 * [backup-simplify]: Simplify 1 into 1 2.681 * [backup-simplify]: Simplify (* 1 1) into 1 2.682 * [backup-simplify]: Simplify (/ 1 1) into 1 2.682 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 2.682 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.682 * [backup-simplify]: Simplify (- 0) into 0 2.682 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 2.682 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 2.683 * [backup-simplify]: Simplify (- 1) into -1 2.683 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.683 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) -1) into (* -1.0 (* b PI)) 2.683 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.683 * [taylor]: Taking taylor expansion of 0.5 in b 2.683 * [backup-simplify]: Simplify 0.5 into 0.5 2.683 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.683 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 2.683 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.683 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.683 * [taylor]: Taking taylor expansion of 1.0 in b 2.683 * [backup-simplify]: Simplify 1.0 into 1.0 2.683 * [taylor]: Taking taylor expansion of b in b 2.683 * [backup-simplify]: Simplify 0 into 0 2.683 * [backup-simplify]: Simplify 1 into 1 2.683 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.683 * [taylor]: Taking taylor expansion of 1.0 in b 2.683 * [backup-simplify]: Simplify 1.0 into 1.0 2.683 * [taylor]: Taking taylor expansion of a in b 2.683 * [backup-simplify]: Simplify a into a 2.683 * [taylor]: Taking taylor expansion of PI in b 2.683 * [backup-simplify]: Simplify PI into PI 2.683 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.683 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.684 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.684 * [taylor]: Taking taylor expansion of b in b 2.684 * [backup-simplify]: Simplify 0 into 0 2.684 * [backup-simplify]: Simplify 1 into 1 2.684 * [backup-simplify]: Simplify (* 1 1) into 1 2.684 * [backup-simplify]: Simplify (/ 1 1) into 1 2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.684 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.684 * [taylor]: Taking taylor expansion of a in b 2.684 * [backup-simplify]: Simplify a into a 2.684 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.684 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.685 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.685 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.685 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 2.685 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 2.685 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 2.685 * [backup-simplify]: Simplify (+ 1 0) into 1 2.685 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 2.685 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.685 * [taylor]: Taking taylor expansion of 0.5 in b 2.685 * [backup-simplify]: Simplify 0.5 into 0.5 2.685 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.685 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 2.685 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.685 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.685 * [taylor]: Taking taylor expansion of 1.0 in b 2.686 * [backup-simplify]: Simplify 1.0 into 1.0 2.686 * [taylor]: Taking taylor expansion of b in b 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.686 * [taylor]: Taking taylor expansion of 1.0 in b 2.686 * [backup-simplify]: Simplify 1.0 into 1.0 2.686 * [taylor]: Taking taylor expansion of a in b 2.686 * [backup-simplify]: Simplify a into a 2.686 * [taylor]: Taking taylor expansion of PI in b 2.686 * [backup-simplify]: Simplify PI into PI 2.686 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.686 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.686 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.686 * [taylor]: Taking taylor expansion of b in b 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.686 * [backup-simplify]: Simplify (* 1 1) into 1 2.686 * [backup-simplify]: Simplify (/ 1 1) into 1 2.686 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.686 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.686 * [taylor]: Taking taylor expansion of a in b 2.686 * [backup-simplify]: Simplify a into a 2.686 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.687 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.687 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.687 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.687 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 2.687 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 2.687 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 2.687 * [backup-simplify]: Simplify (+ 1 0) into 1 2.687 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 2.688 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (* a PI))) into (* -0.5 (* a PI)) 2.688 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 2.688 * [taylor]: Taking taylor expansion of -0.5 in a 2.688 * [backup-simplify]: Simplify -0.5 into -0.5 2.688 * [taylor]: Taking taylor expansion of (* a PI) in a 2.688 * [taylor]: Taking taylor expansion of a in a 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [taylor]: Taking taylor expansion of PI in a 2.688 * [backup-simplify]: Simplify PI into PI 2.688 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.689 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.690 * [backup-simplify]: Simplify (* 0 PI) into 0 2.690 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 2.690 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.692 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 2.692 * [backup-simplify]: Simplify (- 0) into 0 2.692 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.693 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 2.693 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.694 * [backup-simplify]: Simplify (+ 0 0) into 0 2.695 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)))) into (* 1.0 PI) 2.696 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 PI)) (* 0 (* -1.0 (* a PI)))) into (* 0.5 PI) 2.696 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.696 * [taylor]: Taking taylor expansion of 0.5 in a 2.696 * [backup-simplify]: Simplify 0.5 into 0.5 2.696 * [taylor]: Taking taylor expansion of PI in a 2.696 * [backup-simplify]: Simplify PI into PI 2.697 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.697 * [backup-simplify]: Simplify 0 into 0 2.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.698 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.698 * [backup-simplify]: Simplify 0 into 0 2.699 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.699 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 2.699 * [backup-simplify]: Simplify (- 0) into 0 2.700 * [backup-simplify]: Simplify (+ 0 0) into 0 2.700 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 2.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.701 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.701 * [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 2.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.706 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.706 * [backup-simplify]: Simplify (- 0) into 0 2.706 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.708 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.708 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.709 * [backup-simplify]: Simplify (- (* b b) (* a a)) into (- (pow b 2) (pow a 2)) 2.709 * [approximate]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in (b a) around 0 2.709 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.709 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.709 * [taylor]: Taking taylor expansion of b in a 2.709 * [backup-simplify]: Simplify b into b 2.709 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.709 * [taylor]: Taking taylor expansion of a in a 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.709 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.709 * [taylor]: Taking taylor expansion of b in b 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.709 * [taylor]: Taking taylor expansion of a in b 2.709 * [backup-simplify]: Simplify a into a 2.709 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.709 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.709 * [taylor]: Taking taylor expansion of b in b 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.709 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.709 * [taylor]: Taking taylor expansion of a in b 2.709 * [backup-simplify]: Simplify a into a 2.709 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.709 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.710 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.710 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 2.710 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.710 * [taylor]: Taking taylor expansion of a in a 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.710 * [backup-simplify]: Simplify (- 0) into 0 2.710 * [backup-simplify]: Simplify (+ 0 0) into 0 2.710 * [taylor]: Taking taylor expansion of 0 in a 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify (* 1 1) into 1 2.711 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.711 * [backup-simplify]: Simplify (- 0) into 0 2.711 * [backup-simplify]: Simplify (+ 1 0) into 1 2.711 * [taylor]: Taking taylor expansion of 1 in a 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify 1 into 1 2.711 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (* 1 1) into 1 2.712 * [backup-simplify]: Simplify (- 1) into -1 2.712 * [backup-simplify]: Simplify -1 into -1 2.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.713 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 2.713 * [backup-simplify]: Simplify (- 0) into 0 2.713 * [backup-simplify]: Simplify (+ 0 0) into 0 2.714 * [taylor]: Taking taylor expansion of 0 in a 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.714 * [backup-simplify]: Simplify (- 0) into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.715 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 2.716 * [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 0 into 0 2.716 * [backup-simplify]: Simplify (+ (* -1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) 2.716 * [backup-simplify]: Simplify (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.716 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.717 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.717 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.717 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.717 * [taylor]: Taking taylor expansion of b in a 2.717 * [backup-simplify]: Simplify b into b 2.717 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.717 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.717 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.717 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.717 * [taylor]: Taking taylor expansion of a in a 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify (* 1 1) into 1 2.717 * [backup-simplify]: Simplify (/ 1 1) into 1 2.717 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.717 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.717 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.717 * [taylor]: Taking taylor expansion of b in b 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (* 1 1) into 1 2.718 * [backup-simplify]: Simplify (/ 1 1) into 1 2.718 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.718 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.718 * [taylor]: Taking taylor expansion of a in b 2.718 * [backup-simplify]: Simplify a into a 2.718 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.718 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.718 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.718 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.718 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.718 * [taylor]: Taking taylor expansion of b in b 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [backup-simplify]: Simplify (* 1 1) into 1 2.719 * [backup-simplify]: Simplify (/ 1 1) into 1 2.719 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.719 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.719 * [taylor]: Taking taylor expansion of a in b 2.719 * [backup-simplify]: Simplify a into a 2.719 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.719 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.719 * [backup-simplify]: Simplify (+ 1 0) into 1 2.719 * [taylor]: Taking taylor expansion of 1 in a 2.719 * [backup-simplify]: Simplify 1 into 1 2.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.720 * [backup-simplify]: Simplify (+ 0 0) into 0 2.720 * [taylor]: Taking taylor expansion of 0 in a 2.720 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.722 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.722 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.722 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.722 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.722 * [taylor]: Taking taylor expansion of a in a 2.722 * [backup-simplify]: Simplify 0 into 0 2.722 * [backup-simplify]: Simplify 1 into 1 2.722 * [backup-simplify]: Simplify (* 1 1) into 1 2.722 * [backup-simplify]: Simplify (/ 1 1) into 1 2.722 * [backup-simplify]: Simplify (- 1) into -1 2.723 * [backup-simplify]: Simplify -1 into -1 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.724 * [backup-simplify]: Simplify (- 0) into 0 2.724 * [backup-simplify]: Simplify (+ 0 0) into 0 2.724 * [taylor]: Taking taylor expansion of 0 in a 2.724 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (- 0) into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.728 * [backup-simplify]: Simplify (- 0) into 0 2.728 * [backup-simplify]: Simplify (+ 0 0) into 0 2.728 * [taylor]: Taking taylor expansion of 0 in a 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.729 * [backup-simplify]: Simplify (- 0) into 0 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) 2.730 * [backup-simplify]: Simplify (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.730 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.730 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.730 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.730 * [taylor]: Taking taylor expansion of b in a 2.730 * [backup-simplify]: Simplify b into b 2.730 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.730 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.730 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.731 * [taylor]: Taking taylor expansion of a in a 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 1 into 1 2.731 * [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 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)) 2.732 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.733 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.733 * [taylor]: Taking taylor expansion of b in b 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 1 into 1 2.733 * [backup-simplify]: Simplify (* 1 1) into 1 2.733 * [backup-simplify]: Simplify (/ 1 1) into 1 2.733 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.733 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.733 * [taylor]: Taking taylor expansion of a in b 2.733 * [backup-simplify]: Simplify a into a 2.734 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.734 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.734 * [backup-simplify]: Simplify (+ 1 0) into 1 2.734 * [taylor]: Taking taylor expansion of 1 in a 2.734 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.736 * [backup-simplify]: Simplify (+ 0 0) into 0 2.736 * [taylor]: Taking taylor expansion of 0 in a 2.736 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.738 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.738 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.738 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.738 * [taylor]: Taking taylor expansion of a in a 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (* 1 1) into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.740 * [backup-simplify]: Simplify (- 1) into -1 2.740 * [backup-simplify]: Simplify -1 into -1 2.740 * [backup-simplify]: Simplify 1 into 1 2.741 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 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 1)) into 0 2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) 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 0 into 0 2.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.749 * [backup-simplify]: Simplify (- 0) into 0 2.750 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [taylor]: Taking taylor expansion of 0 in a 2.750 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.752 * [backup-simplify]: Simplify (- 0) into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) 2.753 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.753 * [backup-simplify]: Simplify (/ 1.0 (- (* b b) (* a a))) into (/ 1.0 (- (pow b 2) (pow a 2))) 2.753 * [approximate]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in (b a) around 0 2.753 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in a 2.753 * [taylor]: Taking taylor expansion of 1.0 in a 2.753 * [backup-simplify]: Simplify 1.0 into 1.0 2.753 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.753 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.753 * [taylor]: Taking taylor expansion of b in a 2.753 * [backup-simplify]: Simplify b into b 2.753 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.753 * [taylor]: Taking taylor expansion of a in a 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.754 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.754 * [backup-simplify]: Simplify (/ 1.0 (pow b 2)) into (/ 1.0 (pow b 2)) 2.754 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.754 * [taylor]: Taking taylor expansion of 1.0 in b 2.754 * [backup-simplify]: Simplify 1.0 into 1.0 2.754 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.754 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.754 * [taylor]: Taking taylor expansion of b in b 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.754 * [taylor]: Taking taylor expansion of a in b 2.754 * [backup-simplify]: Simplify a into a 2.754 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.754 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.755 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.755 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 2.755 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.755 * [taylor]: Taking taylor expansion of 1.0 in b 2.755 * [backup-simplify]: Simplify 1.0 into 1.0 2.755 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.755 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.755 * [taylor]: Taking taylor expansion of b in b 2.755 * [backup-simplify]: Simplify 0 into 0 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.755 * [taylor]: Taking taylor expansion of a in b 2.755 * [backup-simplify]: Simplify a into a 2.755 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.755 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.755 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.756 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 2.756 * [taylor]: Taking taylor expansion of (/ -1.0 (pow a 2)) in a 2.756 * [taylor]: Taking taylor expansion of -1.0 in a 2.756 * [backup-simplify]: Simplify -1.0 into -1.0 2.756 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.756 * [taylor]: Taking taylor expansion of a in a 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (* 1 1) into 1 2.757 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 2.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 2.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.761 * [backup-simplify]: Simplify (- 0) into 0 2.762 * [backup-simplify]: Simplify (+ 0 0) into 0 2.762 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 0 (- (pow a 2)))))) into 0 2.762 * [taylor]: Taking taylor expansion of 0 in a 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 0 into 0 2.764 * [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 2.767 * [backup-simplify]: Simplify (+ 1 0) into 1 2.768 * [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)))) 2.768 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 4)))) in a 2.768 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 4))) in a 2.768 * [taylor]: Taking taylor expansion of 1.0 in a 2.768 * [backup-simplify]: Simplify 1.0 into 1.0 2.768 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 2.768 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.768 * [taylor]: Taking taylor expansion of a in a 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (* 1 1) into 1 2.769 * [backup-simplify]: Simplify (* 1 1) into 1 2.769 * [backup-simplify]: Simplify (/ 1 1) into 1 2.771 * [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 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.782 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.782 * [backup-simplify]: Simplify (- 0) into 0 2.782 * [backup-simplify]: Simplify 0 into 0 2.782 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 2.785 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.785 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.785 * [taylor]: Taking taylor expansion of 1.0 in a 2.785 * [backup-simplify]: Simplify 1.0 into 1.0 2.785 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.785 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.785 * [taylor]: Taking taylor expansion of b in a 2.785 * [backup-simplify]: Simplify b into b 2.785 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.785 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.785 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.785 * [taylor]: Taking taylor expansion of a in a 2.785 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (* 1 1) into 1 2.786 * [backup-simplify]: Simplify (/ 1 1) into 1 2.786 * [backup-simplify]: Simplify (- 1) into -1 2.787 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.794 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 2.794 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.794 * [taylor]: Taking taylor expansion of 1.0 in b 2.794 * [backup-simplify]: Simplify 1.0 into 1.0 2.794 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.794 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.794 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.794 * [taylor]: Taking taylor expansion of b in b 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.795 * [backup-simplify]: Simplify (* 1 1) into 1 2.796 * [backup-simplify]: Simplify (/ 1 1) into 1 2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.796 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.796 * [taylor]: Taking taylor expansion of a in b 2.796 * [backup-simplify]: Simplify a into a 2.796 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.796 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.796 * [backup-simplify]: Simplify (+ 1 0) into 1 2.797 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.797 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.797 * [taylor]: Taking taylor expansion of 1.0 in b 2.797 * [backup-simplify]: Simplify 1.0 into 1.0 2.797 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.797 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.797 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.797 * [taylor]: Taking taylor expansion of b in b 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 1 into 1 2.798 * [backup-simplify]: Simplify (* 1 1) into 1 2.798 * [backup-simplify]: Simplify (/ 1 1) into 1 2.798 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.798 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.798 * [taylor]: Taking taylor expansion of a in b 2.798 * [backup-simplify]: Simplify a into a 2.798 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.799 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.799 * [backup-simplify]: Simplify (+ 1 0) into 1 2.800 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.800 * [taylor]: Taking taylor expansion of 1.0 in a 2.800 * [backup-simplify]: Simplify 1.0 into 1.0 2.800 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (+ 0 0) into 0 2.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 2.803 * [taylor]: Taking taylor expansion of 0 in a 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.805 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 2.807 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 2.807 * [taylor]: Taking taylor expansion of 1.0 in a 2.807 * [backup-simplify]: Simplify 1.0 into 1.0 2.807 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.807 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.807 * [taylor]: Taking taylor expansion of a in a 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.808 * [backup-simplify]: Simplify (/ 1 1) into 1 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 2.818 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.818 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.818 * [taylor]: Taking taylor expansion of 1.0 in a 2.818 * [backup-simplify]: Simplify 1.0 into 1.0 2.818 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.818 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.818 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.818 * [taylor]: Taking taylor expansion of b in a 2.818 * [backup-simplify]: Simplify b into b 2.818 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.818 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.819 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.819 * [taylor]: Taking taylor expansion of a in a 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify (* 1 1) into 1 2.819 * [backup-simplify]: Simplify (/ 1 1) into 1 2.820 * [backup-simplify]: Simplify (- 1) into -1 2.820 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.821 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 2.821 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.821 * [taylor]: Taking taylor expansion of 1.0 in b 2.821 * [backup-simplify]: Simplify 1.0 into 1.0 2.821 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.821 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.821 * [taylor]: Taking taylor expansion of b in b 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.822 * [backup-simplify]: Simplify (* 1 1) into 1 2.822 * [backup-simplify]: Simplify (/ 1 1) into 1 2.822 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.822 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.822 * [taylor]: Taking taylor expansion of a in b 2.822 * [backup-simplify]: Simplify a into a 2.822 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.822 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.823 * [backup-simplify]: Simplify (+ 1 0) into 1 2.823 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.823 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.823 * [taylor]: Taking taylor expansion of 1.0 in b 2.823 * [backup-simplify]: Simplify 1.0 into 1.0 2.823 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.823 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.823 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.824 * [taylor]: Taking taylor expansion of b in b 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify (* 1 1) into 1 2.824 * [backup-simplify]: Simplify (/ 1 1) into 1 2.824 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.824 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.824 * [taylor]: Taking taylor expansion of a in b 2.825 * [backup-simplify]: Simplify a into a 2.825 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.825 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.825 * [backup-simplify]: Simplify (+ 1 0) into 1 2.826 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.826 * [taylor]: Taking taylor expansion of 1.0 in a 2.826 * [backup-simplify]: Simplify 1.0 into 1.0 2.826 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.828 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 2.829 * [taylor]: Taking taylor expansion of 0 in a 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.832 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 2.833 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 2.833 * [taylor]: Taking taylor expansion of 1.0 in a 2.833 * [backup-simplify]: Simplify 1.0 into 1.0 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.833 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.833 * [taylor]: Taking taylor expansion of a in a 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (* 1 1) into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.844 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) into (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) 2.844 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in (b a) around 0 2.844 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in a 2.844 * [taylor]: Taking taylor expansion of 0.5 in a 2.844 * [backup-simplify]: Simplify 0.5 into 0.5 2.844 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in a 2.844 * [taylor]: Taking taylor expansion of PI in a 2.844 * [backup-simplify]: Simplify PI into PI 2.844 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.844 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.844 * [taylor]: Taking taylor expansion of b in a 2.844 * [backup-simplify]: Simplify b into b 2.845 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.845 * [taylor]: Taking taylor expansion of a in a 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 1 into 1 2.845 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.845 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.845 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.845 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 2.845 * [taylor]: Taking taylor expansion of 0.5 in b 2.845 * [backup-simplify]: Simplify 0.5 into 0.5 2.845 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 2.845 * [taylor]: Taking taylor expansion of PI in b 2.845 * [backup-simplify]: Simplify PI into PI 2.845 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.845 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.845 * [taylor]: Taking taylor expansion of b in b 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 1 into 1 2.845 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.846 * [taylor]: Taking taylor expansion of a in b 2.846 * [backup-simplify]: Simplify a into a 2.846 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.846 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.846 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.846 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 2.846 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 2.846 * [taylor]: Taking taylor expansion of 0.5 in b 2.846 * [backup-simplify]: Simplify 0.5 into 0.5 2.846 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 2.846 * [taylor]: Taking taylor expansion of PI in b 2.846 * [backup-simplify]: Simplify PI into PI 2.846 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.846 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.846 * [taylor]: Taking taylor expansion of b in b 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 1 into 1 2.847 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.847 * [taylor]: Taking taylor expansion of a in b 2.847 * [backup-simplify]: Simplify a into a 2.847 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.847 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.847 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.847 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 2.848 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI (pow a 2)))) into (* -0.5 (/ PI (pow a 2))) 2.848 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 2.848 * [taylor]: Taking taylor expansion of -0.5 in a 2.848 * [backup-simplify]: Simplify -0.5 into -0.5 2.848 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.848 * [taylor]: Taking taylor expansion of PI in a 2.848 * [backup-simplify]: Simplify PI into PI 2.848 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.848 * [taylor]: Taking taylor expansion of a in a 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (* 1 1) into 1 2.849 * [backup-simplify]: Simplify (/ PI 1) into PI 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.854 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.854 * [backup-simplify]: Simplify (- 0) into 0 2.854 * [backup-simplify]: Simplify (+ 0 0) into 0 2.855 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into 0 2.856 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (/ PI (pow a 2))))) into 0 2.856 * [taylor]: Taking taylor expansion of 0 in a 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.859 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify (* 1 1) into 1 2.860 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.861 * [backup-simplify]: Simplify (- 0) into 0 2.861 * [backup-simplify]: Simplify (+ 1 0) into 1 2.862 * [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))) 2.863 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 4)))) (+ (* 0 0) (* 0 (* -1 (/ PI (pow a 2)))))) into (- (* 0.5 (/ PI (pow a 4)))) 2.863 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 4)))) in a 2.863 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.863 * [taylor]: Taking taylor expansion of 0.5 in a 2.863 * [backup-simplify]: Simplify 0.5 into 0.5 2.863 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.863 * [taylor]: Taking taylor expansion of PI in a 2.863 * [backup-simplify]: Simplify PI into PI 2.863 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.863 * [taylor]: Taking taylor expansion of a in a 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify (* 1 1) into 1 2.864 * [backup-simplify]: Simplify (* 1 1) into 1 2.865 * [backup-simplify]: Simplify (/ PI 1) into PI 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.878 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.879 * [backup-simplify]: Simplify (- 0) into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.884 * [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))))) 2.884 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.884 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.884 * [taylor]: Taking taylor expansion of 0.5 in a 2.884 * [backup-simplify]: Simplify 0.5 into 0.5 2.884 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.884 * [taylor]: Taking taylor expansion of PI in a 2.884 * [backup-simplify]: Simplify PI into PI 2.884 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.884 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.884 * [taylor]: Taking taylor expansion of b in a 2.884 * [backup-simplify]: Simplify b into b 2.884 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.884 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.884 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.884 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.884 * [taylor]: Taking taylor expansion of a in a 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify 1 into 1 2.885 * [backup-simplify]: Simplify (* 1 1) into 1 2.885 * [backup-simplify]: Simplify (/ 1 1) into 1 2.886 * [backup-simplify]: Simplify (- 1) into -1 2.886 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.886 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.887 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.887 * [taylor]: Taking taylor expansion of 0.5 in b 2.887 * [backup-simplify]: Simplify 0.5 into 0.5 2.887 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.887 * [taylor]: Taking taylor expansion of PI in b 2.887 * [backup-simplify]: Simplify PI into PI 2.887 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.887 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.887 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.887 * [taylor]: Taking taylor expansion of b in b 2.887 * [backup-simplify]: Simplify 0 into 0 2.887 * [backup-simplify]: Simplify 1 into 1 2.887 * [backup-simplify]: Simplify (* 1 1) into 1 2.888 * [backup-simplify]: Simplify (/ 1 1) into 1 2.888 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.888 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.888 * [taylor]: Taking taylor expansion of a in b 2.888 * [backup-simplify]: Simplify a into a 2.888 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.888 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.888 * [backup-simplify]: Simplify (+ 1 0) into 1 2.889 * [backup-simplify]: Simplify (/ PI 1) into PI 2.889 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.889 * [taylor]: Taking taylor expansion of 0.5 in b 2.889 * [backup-simplify]: Simplify 0.5 into 0.5 2.889 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.889 * [taylor]: Taking taylor expansion of PI in b 2.889 * [backup-simplify]: Simplify PI into PI 2.889 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.889 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.889 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.889 * [taylor]: Taking taylor expansion of b in b 2.889 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (* 1 1) into 1 2.890 * [backup-simplify]: Simplify (/ 1 1) into 1 2.890 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.890 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.890 * [taylor]: Taking taylor expansion of a in b 2.890 * [backup-simplify]: Simplify a into a 2.890 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.890 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.891 * [backup-simplify]: Simplify (+ 1 0) into 1 2.891 * [backup-simplify]: Simplify (/ PI 1) into PI 2.892 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 2.892 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.892 * [taylor]: Taking taylor expansion of 0.5 in a 2.892 * [backup-simplify]: Simplify 0.5 into 0.5 2.892 * [taylor]: Taking taylor expansion of PI in a 2.892 * [backup-simplify]: Simplify PI into PI 2.893 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.895 * [backup-simplify]: Simplify (+ 0 0) into 0 2.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.897 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.897 * [taylor]: Taking taylor expansion of 0 in a 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.898 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.901 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.901 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 2.903 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 2.903 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.903 * [taylor]: Taking taylor expansion of 0.5 in a 2.904 * [backup-simplify]: Simplify 0.5 into 0.5 2.904 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.904 * [taylor]: Taking taylor expansion of PI in a 2.904 * [backup-simplify]: Simplify PI into PI 2.904 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.904 * [taylor]: Taking taylor expansion of a in a 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify 1 into 1 2.904 * [backup-simplify]: Simplify (* 1 1) into 1 2.905 * [backup-simplify]: Simplify (/ PI 1) into PI 2.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [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))))) 2.917 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.917 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.917 * [taylor]: Taking taylor expansion of 0.5 in a 2.917 * [backup-simplify]: Simplify 0.5 into 0.5 2.917 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.917 * [taylor]: Taking taylor expansion of PI in a 2.917 * [backup-simplify]: Simplify PI into PI 2.917 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.917 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.917 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.917 * [taylor]: Taking taylor expansion of b in a 2.918 * [backup-simplify]: Simplify b into b 2.918 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.918 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.918 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.918 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.918 * [taylor]: Taking taylor expansion of a in a 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [backup-simplify]: Simplify (* 1 1) into 1 2.919 * [backup-simplify]: Simplify (/ 1 1) into 1 2.919 * [backup-simplify]: Simplify (- 1) into -1 2.919 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.920 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.920 * [taylor]: Taking taylor expansion of 0.5 in b 2.920 * [backup-simplify]: Simplify 0.5 into 0.5 2.920 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.920 * [taylor]: Taking taylor expansion of PI in b 2.920 * [backup-simplify]: Simplify PI into PI 2.920 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.920 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.920 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.920 * [taylor]: Taking taylor expansion of b in b 2.920 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify 1 into 1 2.921 * [backup-simplify]: Simplify (* 1 1) into 1 2.921 * [backup-simplify]: Simplify (/ 1 1) into 1 2.921 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.921 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.921 * [taylor]: Taking taylor expansion of a in b 2.921 * [backup-simplify]: Simplify a into a 2.921 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.921 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.922 * [backup-simplify]: Simplify (+ 1 0) into 1 2.922 * [backup-simplify]: Simplify (/ PI 1) into PI 2.922 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.922 * [taylor]: Taking taylor expansion of 0.5 in b 2.922 * [backup-simplify]: Simplify 0.5 into 0.5 2.922 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.922 * [taylor]: Taking taylor expansion of PI in b 2.922 * [backup-simplify]: Simplify PI into PI 2.922 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.923 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.923 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.923 * [taylor]: Taking taylor expansion of b in b 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (* 1 1) into 1 2.923 * [backup-simplify]: Simplify (/ 1 1) into 1 2.923 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.923 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.923 * [taylor]: Taking taylor expansion of a in b 2.924 * [backup-simplify]: Simplify a into a 2.924 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.924 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.924 * [backup-simplify]: Simplify (+ 1 0) into 1 2.925 * [backup-simplify]: Simplify (/ PI 1) into PI 2.926 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 2.926 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.926 * [taylor]: Taking taylor expansion of 0.5 in a 2.926 * [backup-simplify]: Simplify 0.5 into 0.5 2.926 * [taylor]: Taking taylor expansion of PI in a 2.926 * [backup-simplify]: Simplify PI into PI 2.927 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.930 * [taylor]: Taking taylor expansion of 0 in a 2.931 * [backup-simplify]: Simplify 0 into 0 2.931 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.932 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.934 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.935 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 2.937 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 2.937 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.937 * [taylor]: Taking taylor expansion of 0.5 in a 2.937 * [backup-simplify]: Simplify 0.5 into 0.5 2.937 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.937 * [taylor]: Taking taylor expansion of PI in a 2.937 * [backup-simplify]: Simplify PI into PI 2.938 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.938 * [taylor]: Taking taylor expansion of a in a 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (* 1 1) into 1 2.939 * [backup-simplify]: Simplify (/ PI 1) into PI 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.949 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * * * [progress]: simplifying candidates 2.989 * [simplify]: Simplifying: (expm1 (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ 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))) (* (* (/ 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))))) 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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 3.053 * * [simplify]: Extracting # 0 : cost 0 3.056 * * [simplify]: Extracting # 1 : cost 0 3.060 * * [simplify]: Extracting # 2 : cost 0 3.064 * * [simplify]: Extracting # 3 : cost 0 3.067 * * [simplify]: Extracting # 4 : cost 0 3.071 * * [simplify]: Extracting # 5 : cost 0 3.075 * * [simplify]: Extracting # 6 : cost 0 3.086 * * [simplify]: Extracting # 7 : cost 0 3.090 * * [simplify]: Extracting # 8 : cost 0 3.093 * * [simplify]: Extracting # 9 : cost 0 3.097 * * [simplify]: iteration 0 : 886 enodes (cost 27857 ) 3.767 * * [simplify]: Extracting # 0 : cost 0 3.772 * * [simplify]: Extracting # 1 : cost 0 3.778 * * [simplify]: Extracting # 2 : cost 0 3.782 * * [simplify]: Extracting # 3 : cost 0 3.786 * * [simplify]: Extracting # 4 : cost 0 3.795 * * [simplify]: Extracting # 5 : cost 0 3.802 * * [simplify]: iteration 1 : 2914 enodes (cost 25859 ) 5.349 * * [simplify]: Extracting # 0 : cost 0 5.366 * * [simplify]: Extracting # 1 : cost 0 5.376 * * [simplify]: Extracting # 2 : cost 0 5.390 * * [simplify]: Extracting # 3 : cost 0 5.396 * * [simplify]: Extracting # 4 : cost 0 5.403 * * [simplify]: iteration done: 5002 enodes (cost 23272 ) 5.414 * [simplify]: Simplified to: (expm1 (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- 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a))))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (exp (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ (pow 1.0 3) (pow (- (* b b) (* a a)) 3)) (pow (/ PI 2.0) 3)) (* (pow (/ 1.0 (- (* b b) (* a a))) 3) (pow (/ PI 2.0) 3)) (* (/ (pow 1.0 3) (pow (- (* b b) (* a a)) 3)) (pow (/ PI 2.0) 3)) (* (pow (/ 1.0 (- (* b b) (* a a))) 3) (pow (/ PI 2.0) 3)) (* (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))))) (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (pow (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) 3) (sqrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (sqrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* PI 1.0) (* 2.0 (- (* b b) (* a a))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a)))))) (* (/ PI 2.0) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (* (cbrt 1.0) (cbrt 1.0))) (* (/ 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)) (* (/ PI 2.0) (/ (sqrt 1.0) (+ b a))) (/ (/ PI 2.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (/ PI 2.0) (sqrt (- (* b b) (* a a)))) (/ PI 2.0) (/ (/ PI 2.0) (+ b a)) (/ PI 2.0) (* (/ PI 2.0) 1.0) (* (/ PI 2.0) (/ 1.0 (- (pow (* b b) 3) (pow (* a a) 3)))) (* (/ PI 2.0) (/ 1.0 (- (* b (pow b 3)) (pow a (* 2 2))))) (* (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 (/ 1.0 (- (* b b) (* a a)))) 2.0) (/ (* PI (/ 1.0 (- (* b b) (* a a)))) 2.0) (/ (/ 1.0 (fma b b (- (* a a)))) 2.0) (* (/ PI 2.0) 1.0) (* PI (/ 1.0 (- (* 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 5.428 * * * [progress]: adding candidates to table 7.358 * * [progress]: iteration 2 / 4 7.358 * * * [progress]: picking best candidate 7.382 * * * * [pick]: Picked # 7.382 * * * [progress]: localizing error 7.411 * * * [progress]: generating rewritten candidates 7.411 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 7.632 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 7.649 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.735 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 7.877 * * * [progress]: generating series expansions 7.877 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.879 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) 7.879 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in (b a) around 0 7.879 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 7.879 * [taylor]: Taking taylor expansion of 0.5 in a 7.879 * [backup-simplify]: Simplify 0.5 into 0.5 7.879 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 7.879 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 7.879 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 7.879 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 7.879 * [taylor]: Taking taylor expansion of 1.0 in a 7.879 * [backup-simplify]: Simplify 1.0 into 1.0 7.879 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.879 * [taylor]: Taking taylor expansion of a in a 7.879 * [backup-simplify]: Simplify 0 into 0 7.879 * [backup-simplify]: Simplify 1 into 1 7.880 * [backup-simplify]: Simplify (/ 1 1) into 1 7.880 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 7.880 * [taylor]: Taking taylor expansion of 1.0 in a 7.880 * [backup-simplify]: Simplify 1.0 into 1.0 7.880 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.880 * [taylor]: Taking taylor expansion of b in a 7.880 * [backup-simplify]: Simplify b into b 7.880 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.880 * [taylor]: Taking taylor expansion of PI in a 7.880 * [backup-simplify]: Simplify PI into PI 7.880 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 7.880 * [taylor]: Taking taylor expansion of (- b a) in a 7.880 * [taylor]: Taking taylor expansion of b in a 7.880 * [backup-simplify]: Simplify b into b 7.880 * [taylor]: Taking taylor expansion of a in a 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.880 * [taylor]: Taking taylor expansion of (+ a b) in a 7.880 * [taylor]: Taking taylor expansion of a in a 7.880 * [backup-simplify]: Simplify 0 into 0 7.880 * [backup-simplify]: Simplify 1 into 1 7.880 * [taylor]: Taking taylor expansion of b in a 7.880 * [backup-simplify]: Simplify b into b 7.881 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.881 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.882 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 7.882 * [backup-simplify]: Simplify (- 0) into 0 7.882 * [backup-simplify]: Simplify (+ b 0) into b 7.882 * [backup-simplify]: Simplify (+ 0 b) into b 7.882 * [backup-simplify]: Simplify (* b b) into (pow b 2) 7.883 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 7.883 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 7.883 * [taylor]: Taking taylor expansion of 0.5 in b 7.883 * [backup-simplify]: Simplify 0.5 into 0.5 7.883 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 7.883 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 7.883 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 7.883 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 7.883 * [taylor]: Taking taylor expansion of 1.0 in b 7.883 * [backup-simplify]: Simplify 1.0 into 1.0 7.883 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.883 * [taylor]: Taking taylor expansion of a in b 7.883 * [backup-simplify]: Simplify a into a 7.884 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.884 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 7.884 * [taylor]: Taking taylor expansion of 1.0 in b 7.884 * [backup-simplify]: Simplify 1.0 into 1.0 7.884 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.884 * [taylor]: Taking taylor expansion of b in b 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify 1 into 1 7.884 * [backup-simplify]: Simplify (/ 1 1) into 1 7.884 * [taylor]: Taking taylor expansion of PI in b 7.884 * [backup-simplify]: Simplify PI into PI 7.884 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 7.884 * [taylor]: Taking taylor expansion of (- b a) in b 7.884 * [taylor]: Taking taylor expansion of b in b 7.884 * [backup-simplify]: Simplify 0 into 0 7.884 * [backup-simplify]: Simplify 1 into 1 7.884 * [taylor]: Taking taylor expansion of a in b 7.884 * [backup-simplify]: Simplify a into a 7.884 * [taylor]: Taking taylor expansion of (+ a b) in b 7.884 * [taylor]: Taking taylor expansion of a in b 7.884 * [backup-simplify]: Simplify a into a 7.884 * [taylor]: Taking taylor expansion of b in b 7.884 * [backup-simplify]: Simplify 0 into 0 7.885 * [backup-simplify]: Simplify 1 into 1 7.885 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.885 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.886 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 7.887 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 7.887 * [backup-simplify]: Simplify (- a) into (- a) 7.887 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.887 * [backup-simplify]: Simplify (+ a 0) into a 7.887 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 7.888 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 7.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 7.888 * [taylor]: Taking taylor expansion of 0.5 in b 7.888 * [backup-simplify]: Simplify 0.5 into 0.5 7.888 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 7.888 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 7.888 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 7.888 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 7.888 * [taylor]: Taking taylor expansion of 1.0 in b 7.888 * [backup-simplify]: Simplify 1.0 into 1.0 7.888 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.888 * [taylor]: Taking taylor expansion of a in b 7.888 * [backup-simplify]: Simplify a into a 7.888 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.888 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 7.888 * [taylor]: Taking taylor expansion of 1.0 in b 7.888 * [backup-simplify]: Simplify 1.0 into 1.0 7.889 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.889 * [taylor]: Taking taylor expansion of b in b 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.889 * [backup-simplify]: Simplify (/ 1 1) into 1 7.889 * [taylor]: Taking taylor expansion of PI in b 7.889 * [backup-simplify]: Simplify PI into PI 7.889 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 7.889 * [taylor]: Taking taylor expansion of (- b a) in b 7.889 * [taylor]: Taking taylor expansion of b in b 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.889 * [taylor]: Taking taylor expansion of a in b 7.889 * [backup-simplify]: Simplify a into a 7.889 * [taylor]: Taking taylor expansion of (+ a b) in b 7.889 * [taylor]: Taking taylor expansion of a in b 7.889 * [backup-simplify]: Simplify a into a 7.889 * [taylor]: Taking taylor expansion of b in b 7.889 * [backup-simplify]: Simplify 0 into 0 7.889 * [backup-simplify]: Simplify 1 into 1 7.890 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.890 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.891 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 7.892 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 7.892 * [backup-simplify]: Simplify (- a) into (- a) 7.892 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.892 * [backup-simplify]: Simplify (+ a 0) into a 7.892 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 7.893 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 7.893 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 7.893 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 7.893 * [taylor]: Taking taylor expansion of 0.5 in a 7.893 * [backup-simplify]: Simplify 0.5 into 0.5 7.893 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 7.893 * [taylor]: Taking taylor expansion of PI in a 7.893 * [backup-simplify]: Simplify PI into PI 7.893 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.893 * [taylor]: Taking taylor expansion of a in a 7.893 * [backup-simplify]: Simplify 0 into 0 7.893 * [backup-simplify]: Simplify 1 into 1 7.893 * [backup-simplify]: Simplify (* 1 1) into 1 7.894 * [backup-simplify]: Simplify (/ PI 1) into PI 7.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.895 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 7.895 * [backup-simplify]: Simplify 0 into 0 7.895 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 7.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.896 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 7.896 * [backup-simplify]: Simplify (- 0) into 0 7.896 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 7.897 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 7.897 * [backup-simplify]: Simplify (+ 0 1) into 1 7.897 * [backup-simplify]: Simplify (- 0) into 0 7.897 * [backup-simplify]: Simplify (+ 1 0) into 1 7.898 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 a)) into 0 7.898 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) (* -1 (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) into (- (* 1.0 (/ PI (pow a 3)))) 7.898 * [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)))) 7.898 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 7.898 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 7.898 * [taylor]: Taking taylor expansion of 0.5 in a 7.898 * [backup-simplify]: Simplify 0.5 into 0.5 7.898 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 7.898 * [taylor]: Taking taylor expansion of PI in a 7.898 * [backup-simplify]: Simplify PI into PI 7.898 * [taylor]: Taking taylor expansion of (pow a 3) in a 7.898 * [taylor]: Taking taylor expansion of a in a 7.898 * [backup-simplify]: Simplify 0 into 0 7.898 * [backup-simplify]: Simplify 1 into 1 7.899 * [backup-simplify]: Simplify (* 1 1) into 1 7.899 * [backup-simplify]: Simplify (* 1 1) into 1 7.899 * [backup-simplify]: Simplify (/ PI 1) into PI 7.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.904 * [backup-simplify]: Simplify (- 0) into 0 7.904 * [backup-simplify]: Simplify 0 into 0 7.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.915 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.915 * [backup-simplify]: Simplify 0 into 0 7.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.915 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 7.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.916 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 7.917 * [backup-simplify]: Simplify (- 0) into 0 7.917 * [backup-simplify]: Simplify (+ 0 0) into 0 7.918 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 7.918 * [backup-simplify]: Simplify (+ 0 0) into 0 7.918 * [backup-simplify]: Simplify (- 0) into 0 7.918 * [backup-simplify]: Simplify (+ 0 0) into 0 7.918 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 a))) into 1 7.919 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* (- (* 1.0 (/ PI (pow a 3)))) (/ 0 (* -1 (pow a 2)))))) into (* 1.0 (/ PI (pow a 4))) 7.919 * [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))) 7.920 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 7.920 * [taylor]: Taking taylor expansion of 0.5 in a 7.920 * [backup-simplify]: Simplify 0.5 into 0.5 7.920 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 7.920 * [taylor]: Taking taylor expansion of PI in a 7.920 * [backup-simplify]: Simplify PI into PI 7.920 * [taylor]: Taking taylor expansion of (pow a 4) in a 7.920 * [taylor]: Taking taylor expansion of a in a 7.920 * [backup-simplify]: Simplify 0 into 0 7.920 * [backup-simplify]: Simplify 1 into 1 7.920 * [backup-simplify]: Simplify (* 1 1) into 1 7.920 * [backup-simplify]: Simplify (* 1 1) into 1 7.920 * [backup-simplify]: Simplify (/ PI 1) into PI 7.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.926 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.926 * [backup-simplify]: Simplify 0 into 0 7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.929 * [backup-simplify]: Simplify (- 0) into 0 7.929 * [backup-simplify]: Simplify 0 into 0 7.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.932 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.932 * [backup-simplify]: Simplify 0 into 0 7.932 * [backup-simplify]: Simplify 0 into 0 7.933 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) (/ 1.0 (- (/ 1 b) (/ 1 a)))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) 7.933 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in (b a) around 0 7.933 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 7.933 * [taylor]: Taking taylor expansion of 0.5 in a 7.933 * [backup-simplify]: Simplify 0.5 into 0.5 7.933 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 7.933 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 7.933 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 7.933 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 7.933 * [taylor]: Taking taylor expansion of 1.0 in a 7.933 * [backup-simplify]: Simplify 1.0 into 1.0 7.933 * [taylor]: Taking taylor expansion of a in a 7.934 * [backup-simplify]: Simplify 0 into 0 7.934 * [backup-simplify]: Simplify 1 into 1 7.934 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 7.934 * [taylor]: Taking taylor expansion of 1.0 in a 7.934 * [backup-simplify]: Simplify 1.0 into 1.0 7.934 * [taylor]: Taking taylor expansion of b in a 7.934 * [backup-simplify]: Simplify b into b 7.934 * [taylor]: Taking taylor expansion of PI in a 7.934 * [backup-simplify]: Simplify PI into PI 7.934 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 7.934 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 7.934 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.934 * [taylor]: Taking taylor expansion of b in a 7.934 * [backup-simplify]: Simplify b into b 7.934 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.934 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.934 * [taylor]: Taking taylor expansion of a in a 7.934 * [backup-simplify]: Simplify 0 into 0 7.934 * [backup-simplify]: Simplify 1 into 1 7.934 * [backup-simplify]: Simplify (/ 1 1) into 1 7.934 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.934 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.935 * [taylor]: Taking taylor expansion of a in a 7.935 * [backup-simplify]: Simplify 0 into 0 7.935 * [backup-simplify]: Simplify 1 into 1 7.935 * [backup-simplify]: Simplify (/ 1 1) into 1 7.935 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.935 * [taylor]: Taking taylor expansion of b in a 7.935 * [backup-simplify]: Simplify b into b 7.935 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.936 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.936 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 7.936 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 7.936 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 7.936 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 7.936 * [backup-simplify]: Simplify (- 1) into -1 7.937 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.937 * [backup-simplify]: Simplify (+ 1 0) into 1 7.937 * [backup-simplify]: Simplify (* -1 1) into -1 7.938 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 7.938 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 7.938 * [taylor]: Taking taylor expansion of 0.5 in b 7.938 * [backup-simplify]: Simplify 0.5 into 0.5 7.938 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 7.938 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 7.938 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 7.938 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 7.938 * [taylor]: Taking taylor expansion of 1.0 in b 7.938 * [backup-simplify]: Simplify 1.0 into 1.0 7.938 * [taylor]: Taking taylor expansion of a in b 7.938 * [backup-simplify]: Simplify a into a 7.938 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 7.938 * [taylor]: Taking taylor expansion of 1.0 in b 7.938 * [backup-simplify]: Simplify 1.0 into 1.0 7.938 * [taylor]: Taking taylor expansion of b in b 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 1 into 1 7.938 * [taylor]: Taking taylor expansion of PI in b 7.938 * [backup-simplify]: Simplify PI into PI 7.938 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 7.938 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.938 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.938 * [taylor]: Taking taylor expansion of b in b 7.938 * [backup-simplify]: Simplify 0 into 0 7.938 * [backup-simplify]: Simplify 1 into 1 7.939 * [backup-simplify]: Simplify (/ 1 1) into 1 7.939 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.939 * [taylor]: Taking taylor expansion of a in b 7.939 * [backup-simplify]: Simplify a into a 7.939 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.939 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.939 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.939 * [taylor]: Taking taylor expansion of a in b 7.939 * [backup-simplify]: Simplify a into a 7.939 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.939 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.939 * [taylor]: Taking taylor expansion of b in b 7.939 * [backup-simplify]: Simplify 0 into 0 7.939 * [backup-simplify]: Simplify 1 into 1 7.939 * [backup-simplify]: Simplify (/ 1 1) into 1 7.940 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 7.940 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.940 * [backup-simplify]: Simplify (- 0) into 0 7.940 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 7.940 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 7.941 * [backup-simplify]: Simplify (+ 1 0) into 1 7.941 * [backup-simplify]: Simplify (+ 0 1) into 1 7.942 * [backup-simplify]: Simplify (* 1 1) into 1 7.942 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 7.942 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 7.942 * [taylor]: Taking taylor expansion of 0.5 in b 7.942 * [backup-simplify]: Simplify 0.5 into 0.5 7.942 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 7.942 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 7.942 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 7.942 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 7.942 * [taylor]: Taking taylor expansion of 1.0 in b 7.942 * [backup-simplify]: Simplify 1.0 into 1.0 7.942 * [taylor]: Taking taylor expansion of a in b 7.942 * [backup-simplify]: Simplify a into a 7.942 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 7.942 * [taylor]: Taking taylor expansion of 1.0 in b 7.942 * [backup-simplify]: Simplify 1.0 into 1.0 7.942 * [taylor]: Taking taylor expansion of b in b 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.942 * [taylor]: Taking taylor expansion of PI in b 7.942 * [backup-simplify]: Simplify PI into PI 7.942 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 7.942 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.942 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.942 * [taylor]: Taking taylor expansion of b in b 7.942 * [backup-simplify]: Simplify 0 into 0 7.942 * [backup-simplify]: Simplify 1 into 1 7.943 * [backup-simplify]: Simplify (/ 1 1) into 1 7.943 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.943 * [taylor]: Taking taylor expansion of a in b 7.943 * [backup-simplify]: Simplify a into a 7.943 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.943 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.943 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.943 * [taylor]: Taking taylor expansion of a in b 7.943 * [backup-simplify]: Simplify a into a 7.943 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.943 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.943 * [taylor]: Taking taylor expansion of b in b 7.943 * [backup-simplify]: Simplify 0 into 0 7.943 * [backup-simplify]: Simplify 1 into 1 7.944 * [backup-simplify]: Simplify (/ 1 1) into 1 7.944 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 7.944 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.944 * [backup-simplify]: Simplify (- 0) into 0 7.944 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 7.945 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 7.945 * [backup-simplify]: Simplify (+ 1 0) into 1 7.945 * [backup-simplify]: Simplify (+ 0 1) into 1 7.946 * [backup-simplify]: Simplify (* 1 1) into 1 7.946 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 7.946 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 7.946 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 7.946 * [taylor]: Taking taylor expansion of 0.5 in a 7.946 * [backup-simplify]: Simplify 0.5 into 0.5 7.946 * [taylor]: Taking taylor expansion of (* a PI) in a 7.946 * [taylor]: Taking taylor expansion of a in a 7.946 * [backup-simplify]: Simplify 0 into 0 7.946 * [backup-simplify]: Simplify 1 into 1 7.946 * [taylor]: Taking taylor expansion of PI in a 7.946 * [backup-simplify]: Simplify PI into PI 7.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.949 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.949 * [backup-simplify]: Simplify (* 0 PI) into 0 7.950 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 7.950 * [backup-simplify]: Simplify 0 into 0 7.950 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 7.952 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.952 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.953 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 7.954 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 7.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.954 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.955 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 7.955 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 7.956 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 7.958 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 7.959 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 7.959 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 7.959 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 7.959 * [taylor]: Taking taylor expansion of 0.5 in a 7.959 * [backup-simplify]: Simplify 0.5 into 0.5 7.959 * [taylor]: Taking taylor expansion of PI in a 7.959 * [backup-simplify]: Simplify PI into PI 7.960 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.961 * [backup-simplify]: Simplify (- 0) into 0 7.961 * [backup-simplify]: Simplify 0 into 0 7.962 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.963 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.963 * [backup-simplify]: Simplify 0 into 0 7.964 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 7.965 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.965 * [backup-simplify]: Simplify (- 0) into 0 7.966 * [backup-simplify]: Simplify (+ 0 0) into 0 7.966 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 7.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.968 * [backup-simplify]: Simplify (+ 0 0) into 0 7.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.969 * [backup-simplify]: Simplify (- 0) into 0 7.969 * [backup-simplify]: Simplify (+ 0 0) into 0 7.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 7.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 7.973 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 7.973 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 7.973 * [taylor]: Taking taylor expansion of 0.5 in a 7.973 * [backup-simplify]: Simplify 0.5 into 0.5 7.973 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.973 * [taylor]: Taking taylor expansion of PI in a 7.973 * [backup-simplify]: Simplify PI into PI 7.973 * [taylor]: Taking taylor expansion of a in a 7.973 * [backup-simplify]: Simplify 0 into 0 7.973 * [backup-simplify]: Simplify 1 into 1 7.974 * [backup-simplify]: Simplify (/ PI 1) into PI 7.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.978 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.978 * [backup-simplify]: Simplify 0 into 0 7.979 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.979 * [backup-simplify]: Simplify (- 0) into 0 7.979 * [backup-simplify]: Simplify 0 into 0 7.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.982 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.982 * [backup-simplify]: Simplify 0 into 0 7.982 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 7.983 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (b a) around 0 7.983 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 7.983 * [taylor]: Taking taylor expansion of -0.5 in a 7.983 * [backup-simplify]: Simplify -0.5 into -0.5 7.983 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 7.983 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 7.983 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 7.983 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 7.983 * [taylor]: Taking taylor expansion of 1.0 in a 7.983 * [backup-simplify]: Simplify 1.0 into 1.0 7.983 * [taylor]: Taking taylor expansion of b in a 7.983 * [backup-simplify]: Simplify b into b 7.983 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 7.983 * [taylor]: Taking taylor expansion of 1.0 in a 7.983 * [backup-simplify]: Simplify 1.0 into 1.0 7.983 * [taylor]: Taking taylor expansion of a in a 7.983 * [backup-simplify]: Simplify 0 into 0 7.983 * [backup-simplify]: Simplify 1 into 1 7.983 * [taylor]: Taking taylor expansion of PI in a 7.983 * [backup-simplify]: Simplify PI into PI 7.983 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 7.983 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.983 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.983 * [taylor]: Taking taylor expansion of a in a 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.984 * [backup-simplify]: Simplify (/ 1 1) into 1 7.984 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.984 * [taylor]: Taking taylor expansion of b in a 7.984 * [backup-simplify]: Simplify b into b 7.984 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.984 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 7.984 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.984 * [taylor]: Taking taylor expansion of a in a 7.984 * [backup-simplify]: Simplify 0 into 0 7.984 * [backup-simplify]: Simplify 1 into 1 7.985 * [backup-simplify]: Simplify (/ 1 1) into 1 7.985 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.985 * [taylor]: Taking taylor expansion of b in a 7.985 * [backup-simplify]: Simplify b into b 7.985 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.985 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 7.985 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.986 * [backup-simplify]: Simplify (- 0) into 0 7.986 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 7.986 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 7.986 * [backup-simplify]: Simplify (+ 1 0) into 1 7.986 * [backup-simplify]: Simplify (+ 1 0) into 1 7.987 * [backup-simplify]: Simplify (* 1 1) into 1 7.987 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 7.987 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 7.987 * [taylor]: Taking taylor expansion of -0.5 in b 7.987 * [backup-simplify]: Simplify -0.5 into -0.5 7.987 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 7.987 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 7.987 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 7.987 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 7.987 * [taylor]: Taking taylor expansion of 1.0 in b 7.987 * [backup-simplify]: Simplify 1.0 into 1.0 7.987 * [taylor]: Taking taylor expansion of b in b 7.987 * [backup-simplify]: Simplify 0 into 0 7.987 * [backup-simplify]: Simplify 1 into 1 7.987 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 7.987 * [taylor]: Taking taylor expansion of 1.0 in b 7.987 * [backup-simplify]: Simplify 1.0 into 1.0 7.987 * [taylor]: Taking taylor expansion of a in b 7.987 * [backup-simplify]: Simplify a into a 7.987 * [taylor]: Taking taylor expansion of PI in b 7.988 * [backup-simplify]: Simplify PI into PI 7.988 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 7.988 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.988 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.988 * [taylor]: Taking taylor expansion of a in b 7.988 * [backup-simplify]: Simplify a into a 7.988 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.988 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.988 * [taylor]: Taking taylor expansion of b in b 7.988 * [backup-simplify]: Simplify 0 into 0 7.988 * [backup-simplify]: Simplify 1 into 1 7.988 * [backup-simplify]: Simplify (/ 1 1) into 1 7.988 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.988 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.988 * [taylor]: Taking taylor expansion of a in b 7.988 * [backup-simplify]: Simplify a into a 7.988 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.988 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.988 * [taylor]: Taking taylor expansion of b in b 7.988 * [backup-simplify]: Simplify 0 into 0 7.989 * [backup-simplify]: Simplify 1 into 1 7.989 * [backup-simplify]: Simplify (/ 1 1) into 1 7.989 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.989 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 7.989 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 7.990 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 7.990 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 7.990 * [backup-simplify]: Simplify (+ 0 1) into 1 7.990 * [backup-simplify]: Simplify (- 1) into -1 7.991 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.991 * [backup-simplify]: Simplify (* 1 -1) into -1 7.992 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 7.992 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 7.992 * [taylor]: Taking taylor expansion of -0.5 in b 7.992 * [backup-simplify]: Simplify -0.5 into -0.5 7.992 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 7.992 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 7.992 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 7.992 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 7.992 * [taylor]: Taking taylor expansion of 1.0 in b 7.992 * [backup-simplify]: Simplify 1.0 into 1.0 7.992 * [taylor]: Taking taylor expansion of b in b 7.992 * [backup-simplify]: Simplify 0 into 0 7.992 * [backup-simplify]: Simplify 1 into 1 7.992 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 7.992 * [taylor]: Taking taylor expansion of 1.0 in b 7.992 * [backup-simplify]: Simplify 1.0 into 1.0 7.992 * [taylor]: Taking taylor expansion of a in b 7.992 * [backup-simplify]: Simplify a into a 7.992 * [taylor]: Taking taylor expansion of PI in b 7.992 * [backup-simplify]: Simplify PI into PI 7.992 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 7.992 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.992 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.992 * [taylor]: Taking taylor expansion of a in b 7.992 * [backup-simplify]: Simplify a into a 7.992 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.992 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.993 * [taylor]: Taking taylor expansion of b in b 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 1 into 1 7.993 * [backup-simplify]: Simplify (/ 1 1) into 1 7.993 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.993 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.993 * [taylor]: Taking taylor expansion of a in b 7.993 * [backup-simplify]: Simplify a into a 7.993 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.993 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.993 * [taylor]: Taking taylor expansion of b in b 7.993 * [backup-simplify]: Simplify 0 into 0 7.993 * [backup-simplify]: Simplify 1 into 1 7.994 * [backup-simplify]: Simplify (/ 1 1) into 1 7.994 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.994 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 7.994 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 7.994 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 7.994 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 7.995 * [backup-simplify]: Simplify (+ 0 1) into 1 7.995 * [backup-simplify]: Simplify (- 1) into -1 7.995 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.996 * [backup-simplify]: Simplify (* 1 -1) into -1 7.996 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 7.996 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* a PI))) into (* -0.5 (* a PI)) 7.996 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 7.996 * [taylor]: Taking taylor expansion of -0.5 in a 7.996 * [backup-simplify]: Simplify -0.5 into -0.5 7.996 * [taylor]: Taking taylor expansion of (* a PI) in a 7.996 * [taylor]: Taking taylor expansion of a in a 7.996 * [backup-simplify]: Simplify 0 into 0 7.996 * [backup-simplify]: Simplify 1 into 1 7.996 * [taylor]: Taking taylor expansion of PI in a 7.996 * [backup-simplify]: Simplify PI into PI 7.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.999 * [backup-simplify]: Simplify (* 0 PI) into 0 8.000 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 8.000 * [backup-simplify]: Simplify 0 into 0 8.002 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.002 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 8.002 * [backup-simplify]: Simplify (- 0) into 0 8.003 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.003 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 8.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.004 * [backup-simplify]: Simplify (- 0) into 0 8.005 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.005 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.005 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (/ 1 a) -1)) into 0 8.007 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* a PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 8.009 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (* 0.5 PI) 8.009 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 8.009 * [taylor]: Taking taylor expansion of 0.5 in a 8.009 * [backup-simplify]: Simplify 0.5 into 0.5 8.009 * [taylor]: Taking taylor expansion of PI in a 8.009 * [backup-simplify]: Simplify PI into PI 8.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.010 * [backup-simplify]: Simplify 0 into 0 8.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.012 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.012 * [backup-simplify]: Simplify 0 into 0 8.013 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.014 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 8.014 * [backup-simplify]: Simplify (- 0) into 0 8.014 * [backup-simplify]: Simplify (+ 0 0) into 0 8.015 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 8.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.017 * [backup-simplify]: Simplify (- 0) into 0 8.017 * [backup-simplify]: Simplify (+ 0 0) into 0 8.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.018 * [backup-simplify]: Simplify (+ 0 0) into 0 8.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 -1))) into (/ 1 (pow a 2)) 8.021 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 (pow a 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI a)) 8.022 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 8.022 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 8.022 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 8.022 * [taylor]: Taking taylor expansion of 0.5 in a 8.022 * [backup-simplify]: Simplify 0.5 into 0.5 8.022 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.022 * [taylor]: Taking taylor expansion of PI in a 8.022 * [backup-simplify]: Simplify PI into PI 8.022 * [taylor]: Taking taylor expansion of a in a 8.022 * [backup-simplify]: Simplify 0 into 0 8.022 * [backup-simplify]: Simplify 1 into 1 8.022 * [backup-simplify]: Simplify (/ PI 1) into PI 8.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.027 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.027 * [backup-simplify]: Simplify (- 0) into 0 8.027 * [backup-simplify]: Simplify 0 into 0 8.028 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.028 * [backup-simplify]: Simplify 0 into 0 8.029 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.030 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.030 * [backup-simplify]: Simplify 0 into 0 8.031 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 8.031 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ b a)) into (* 0.5 (/ PI (+ a b))) 8.031 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (b a) around 0 8.031 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 8.031 * [taylor]: Taking taylor expansion of 0.5 in a 8.031 * [backup-simplify]: Simplify 0.5 into 0.5 8.031 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.031 * [taylor]: Taking taylor expansion of PI in a 8.031 * [backup-simplify]: Simplify PI into PI 8.031 * [taylor]: Taking taylor expansion of (+ a b) in a 8.031 * [taylor]: Taking taylor expansion of a in a 8.031 * [backup-simplify]: Simplify 0 into 0 8.031 * [backup-simplify]: Simplify 1 into 1 8.031 * [taylor]: Taking taylor expansion of b in a 8.031 * [backup-simplify]: Simplify b into b 8.032 * [backup-simplify]: Simplify (+ 0 b) into b 8.032 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 8.032 * [taylor]: Taking taylor expansion of 0.5 in b 8.032 * [backup-simplify]: Simplify 0.5 into 0.5 8.032 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.032 * [taylor]: Taking taylor expansion of PI in b 8.032 * [backup-simplify]: Simplify PI into PI 8.032 * [taylor]: Taking taylor expansion of (+ a b) in b 8.032 * [taylor]: Taking taylor expansion of a in b 8.032 * [backup-simplify]: Simplify a into a 8.032 * [taylor]: Taking taylor expansion of b in b 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 1 into 1 8.032 * [backup-simplify]: Simplify (+ a 0) into a 8.032 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 8.032 * [taylor]: Taking taylor expansion of 0.5 in b 8.032 * [backup-simplify]: Simplify 0.5 into 0.5 8.032 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.032 * [taylor]: Taking taylor expansion of PI in b 8.032 * [backup-simplify]: Simplify PI into PI 8.032 * [taylor]: Taking taylor expansion of (+ a b) in b 8.032 * [taylor]: Taking taylor expansion of a in b 8.032 * [backup-simplify]: Simplify a into a 8.032 * [taylor]: Taking taylor expansion of b in b 8.032 * [backup-simplify]: Simplify 0 into 0 8.032 * [backup-simplify]: Simplify 1 into 1 8.032 * [backup-simplify]: Simplify (+ a 0) into a 8.032 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.033 * [backup-simplify]: Simplify (* 0.5 (/ PI a)) into (* 0.5 (/ PI a)) 8.033 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 8.033 * [taylor]: Taking taylor expansion of 0.5 in a 8.033 * [backup-simplify]: Simplify 0.5 into 0.5 8.033 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.033 * [taylor]: Taking taylor expansion of PI in a 8.033 * [backup-simplify]: Simplify PI into PI 8.033 * [taylor]: Taking taylor expansion of a in a 8.033 * [backup-simplify]: Simplify 0 into 0 8.033 * [backup-simplify]: Simplify 1 into 1 8.033 * [backup-simplify]: Simplify (/ PI 1) into PI 8.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.035 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 8.035 * [backup-simplify]: Simplify 0 into 0 8.035 * [backup-simplify]: Simplify (+ 0 1) into 1 8.036 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 8.036 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 0.5 (/ PI (pow a 2)))) 8.036 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 8.036 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.036 * [taylor]: Taking taylor expansion of 0.5 in a 8.036 * [backup-simplify]: Simplify 0.5 into 0.5 8.036 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.036 * [taylor]: Taking taylor expansion of PI in a 8.036 * [backup-simplify]: Simplify PI into PI 8.036 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.036 * [taylor]: Taking taylor expansion of a in a 8.036 * [backup-simplify]: Simplify 0 into 0 8.036 * [backup-simplify]: Simplify 1 into 1 8.037 * [backup-simplify]: Simplify (* 1 1) into 1 8.037 * [backup-simplify]: Simplify (/ PI 1) into PI 8.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.039 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.041 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.048 * [backup-simplify]: Simplify (- 0) into 0 8.048 * [backup-simplify]: Simplify 0 into 0 8.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.050 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.051 * [backup-simplify]: Simplify 0 into 0 8.051 * [backup-simplify]: Simplify (+ 0 0) into 0 8.052 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 8.052 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 0.5 (/ PI (pow a 3))) 8.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 8.052 * [taylor]: Taking taylor expansion of 0.5 in a 8.052 * [backup-simplify]: Simplify 0.5 into 0.5 8.052 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 8.052 * [taylor]: Taking taylor expansion of PI in a 8.052 * [backup-simplify]: Simplify PI into PI 8.052 * [taylor]: Taking taylor expansion of (pow a 3) in a 8.052 * [taylor]: Taking taylor expansion of a in a 8.052 * [backup-simplify]: Simplify 0 into 0 8.052 * [backup-simplify]: Simplify 1 into 1 8.053 * [backup-simplify]: Simplify (* 1 1) into 1 8.053 * [backup-simplify]: Simplify (* 1 1) into 1 8.054 * [backup-simplify]: Simplify (/ PI 1) into PI 8.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.063 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.063 * [backup-simplify]: Simplify 0 into 0 8.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.066 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.066 * [backup-simplify]: Simplify (- 0) into 0 8.066 * [backup-simplify]: Simplify 0 into 0 8.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.068 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.068 * [backup-simplify]: Simplify 0 into 0 8.068 * [backup-simplify]: Simplify 0 into 0 8.069 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.069 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 8.069 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.069 * [taylor]: Taking taylor expansion of 0.5 in a 8.069 * [backup-simplify]: Simplify 0.5 into 0.5 8.069 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.069 * [taylor]: Taking taylor expansion of PI in a 8.069 * [backup-simplify]: Simplify PI into PI 8.069 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.069 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.069 * [taylor]: Taking taylor expansion of a in a 8.069 * [backup-simplify]: Simplify 0 into 0 8.069 * [backup-simplify]: Simplify 1 into 1 8.069 * [backup-simplify]: Simplify (/ 1 1) into 1 8.069 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.069 * [taylor]: Taking taylor expansion of b in a 8.069 * [backup-simplify]: Simplify b into b 8.069 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.069 * [backup-simplify]: Simplify (+ 1 0) into 1 8.070 * [backup-simplify]: Simplify (/ PI 1) into PI 8.070 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.070 * [taylor]: Taking taylor expansion of 0.5 in b 8.070 * [backup-simplify]: Simplify 0.5 into 0.5 8.070 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.070 * [taylor]: Taking taylor expansion of PI in b 8.070 * [backup-simplify]: Simplify PI into PI 8.070 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.070 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.070 * [taylor]: Taking taylor expansion of a in b 8.070 * [backup-simplify]: Simplify a into a 8.070 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.070 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.070 * [taylor]: Taking taylor expansion of b in b 8.070 * [backup-simplify]: Simplify 0 into 0 8.070 * [backup-simplify]: Simplify 1 into 1 8.070 * [backup-simplify]: Simplify (/ 1 1) into 1 8.071 * [backup-simplify]: Simplify (+ 0 1) into 1 8.071 * [backup-simplify]: Simplify (/ PI 1) into PI 8.071 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.071 * [taylor]: Taking taylor expansion of 0.5 in b 8.071 * [backup-simplify]: Simplify 0.5 into 0.5 8.071 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.071 * [taylor]: Taking taylor expansion of PI in b 8.071 * [backup-simplify]: Simplify PI into PI 8.071 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.071 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.071 * [taylor]: Taking taylor expansion of a in b 8.071 * [backup-simplify]: Simplify a into a 8.071 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.071 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.071 * [taylor]: Taking taylor expansion of b in b 8.071 * [backup-simplify]: Simplify 0 into 0 8.071 * [backup-simplify]: Simplify 1 into 1 8.071 * [backup-simplify]: Simplify (/ 1 1) into 1 8.072 * [backup-simplify]: Simplify (+ 0 1) into 1 8.072 * [backup-simplify]: Simplify (/ PI 1) into PI 8.072 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 8.072 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 8.072 * [taylor]: Taking taylor expansion of 0.5 in a 8.072 * [backup-simplify]: Simplify 0.5 into 0.5 8.072 * [taylor]: Taking taylor expansion of PI in a 8.072 * [backup-simplify]: Simplify PI into PI 8.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 8.073 * [backup-simplify]: Simplify 0 into 0 8.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.074 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 8.074 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI a))) (* 0 PI)) into (- (* 0.5 (/ PI a))) 8.074 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 8.074 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 8.074 * [taylor]: Taking taylor expansion of 0.5 in a 8.075 * [backup-simplify]: Simplify 0.5 into 0.5 8.075 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.075 * [taylor]: Taking taylor expansion of PI in a 8.075 * [backup-simplify]: Simplify PI into PI 8.075 * [taylor]: Taking taylor expansion of a in a 8.075 * [backup-simplify]: Simplify 0 into 0 8.075 * [backup-simplify]: Simplify 1 into 1 8.075 * [backup-simplify]: Simplify (/ PI 1) into PI 8.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.077 * [backup-simplify]: Simplify (- 0) into 0 8.077 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.077 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.078 * [backup-simplify]: Simplify (+ 0 0) into 0 8.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 8.080 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 8.080 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.080 * [taylor]: Taking taylor expansion of 0.5 in a 8.080 * [backup-simplify]: Simplify 0.5 into 0.5 8.080 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.080 * [taylor]: Taking taylor expansion of PI in a 8.080 * [backup-simplify]: Simplify PI into PI 8.080 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.080 * [taylor]: Taking taylor expansion of a in a 8.080 * [backup-simplify]: Simplify 0 into 0 8.080 * [backup-simplify]: Simplify 1 into 1 8.080 * [backup-simplify]: Simplify (* 1 1) into 1 8.080 * [backup-simplify]: Simplify (/ PI 1) into PI 8.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.084 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.084 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.086 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.086 * [backup-simplify]: Simplify (- 0) into 0 8.086 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify 0 into 0 8.088 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.088 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 8.088 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.088 * [taylor]: Taking taylor expansion of -0.5 in a 8.088 * [backup-simplify]: Simplify -0.5 into -0.5 8.089 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.089 * [taylor]: Taking taylor expansion of PI in a 8.089 * [backup-simplify]: Simplify PI into PI 8.089 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.089 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.089 * [taylor]: Taking taylor expansion of a in a 8.089 * [backup-simplify]: Simplify 0 into 0 8.089 * [backup-simplify]: Simplify 1 into 1 8.089 * [backup-simplify]: Simplify (/ 1 1) into 1 8.089 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.089 * [taylor]: Taking taylor expansion of b in a 8.089 * [backup-simplify]: Simplify b into b 8.089 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.090 * [backup-simplify]: Simplify (+ 1 0) into 1 8.090 * [backup-simplify]: Simplify (/ PI 1) into PI 8.090 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.090 * [taylor]: Taking taylor expansion of -0.5 in b 8.090 * [backup-simplify]: Simplify -0.5 into -0.5 8.090 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.090 * [taylor]: Taking taylor expansion of PI in b 8.090 * [backup-simplify]: Simplify PI into PI 8.090 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.090 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.090 * [taylor]: Taking taylor expansion of a in b 8.090 * [backup-simplify]: Simplify a into a 8.091 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.091 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.091 * [taylor]: Taking taylor expansion of b in b 8.091 * [backup-simplify]: Simplify 0 into 0 8.091 * [backup-simplify]: Simplify 1 into 1 8.091 * [backup-simplify]: Simplify (/ 1 1) into 1 8.091 * [backup-simplify]: Simplify (+ 0 1) into 1 8.092 * [backup-simplify]: Simplify (/ PI 1) into PI 8.092 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.092 * [taylor]: Taking taylor expansion of -0.5 in b 8.092 * [backup-simplify]: Simplify -0.5 into -0.5 8.092 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.092 * [taylor]: Taking taylor expansion of PI in b 8.092 * [backup-simplify]: Simplify PI into PI 8.092 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.092 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.092 * [taylor]: Taking taylor expansion of a in b 8.092 * [backup-simplify]: Simplify a into a 8.092 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.092 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.092 * [taylor]: Taking taylor expansion of b in b 8.092 * [backup-simplify]: Simplify 0 into 0 8.092 * [backup-simplify]: Simplify 1 into 1 8.093 * [backup-simplify]: Simplify (/ 1 1) into 1 8.093 * [backup-simplify]: Simplify (+ 0 1) into 1 8.093 * [backup-simplify]: Simplify (/ PI 1) into PI 8.094 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 8.094 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 8.094 * [taylor]: Taking taylor expansion of -0.5 in a 8.094 * [backup-simplify]: Simplify -0.5 into -0.5 8.094 * [taylor]: Taking taylor expansion of PI in a 8.094 * [backup-simplify]: Simplify PI into PI 8.095 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 8.095 * [backup-simplify]: Simplify 0 into 0 8.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.096 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 8.097 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI a))) (* 0 PI)) into (* 0.5 (/ PI a)) 8.097 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 8.097 * [taylor]: Taking taylor expansion of 0.5 in a 8.097 * [backup-simplify]: Simplify 0.5 into 0.5 8.097 * [taylor]: Taking taylor expansion of (/ PI a) in a 8.097 * [taylor]: Taking taylor expansion of PI in a 8.097 * [backup-simplify]: Simplify PI into PI 8.097 * [taylor]: Taking taylor expansion of a in a 8.097 * [backup-simplify]: Simplify 0 into 0 8.097 * [backup-simplify]: Simplify 1 into 1 8.097 * [backup-simplify]: Simplify (/ PI 1) into PI 8.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.100 * [backup-simplify]: Simplify 0 into 0 8.101 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.101 * [backup-simplify]: Simplify 0 into 0 8.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.103 * [backup-simplify]: Simplify (+ 0 0) into 0 8.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 8.104 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (* 0.5 (/ PI (pow a 2)))) 8.105 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 8.105 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.105 * [taylor]: Taking taylor expansion of 0.5 in a 8.105 * [backup-simplify]: Simplify 0.5 into 0.5 8.105 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.105 * [taylor]: Taking taylor expansion of PI in a 8.105 * [backup-simplify]: Simplify PI into PI 8.105 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.105 * [taylor]: Taking taylor expansion of a in a 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.105 * [backup-simplify]: Simplify (* 1 1) into 1 8.106 * [backup-simplify]: Simplify (/ PI 1) into PI 8.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.112 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.112 * [backup-simplify]: Simplify (- 0) into 0 8.112 * [backup-simplify]: Simplify 0 into 0 8.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.114 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.114 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.115 * [backup-simplify]: Simplify 0 into 0 8.115 * [backup-simplify]: Simplify 0 into 0 8.115 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.115 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) into (* 0.5 (/ PI (* (- b a) (+ a b)))) 8.115 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in (b a) around 0 8.115 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in a 8.115 * [taylor]: Taking taylor expansion of 0.5 in a 8.115 * [backup-simplify]: Simplify 0.5 into 0.5 8.115 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in a 8.115 * [taylor]: Taking taylor expansion of PI in a 8.115 * [backup-simplify]: Simplify PI into PI 8.115 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 8.115 * [taylor]: Taking taylor expansion of (- b a) in a 8.115 * [taylor]: Taking taylor expansion of b in a 8.115 * [backup-simplify]: Simplify b into b 8.115 * [taylor]: Taking taylor expansion of a in a 8.115 * [backup-simplify]: Simplify 0 into 0 8.115 * [backup-simplify]: Simplify 1 into 1 8.115 * [taylor]: Taking taylor expansion of (+ a b) in a 8.115 * [taylor]: Taking taylor expansion of a in a 8.115 * [backup-simplify]: Simplify 0 into 0 8.115 * [backup-simplify]: Simplify 1 into 1 8.115 * [taylor]: Taking taylor expansion of b in a 8.115 * [backup-simplify]: Simplify b into b 8.116 * [backup-simplify]: Simplify (- 0) into 0 8.116 * [backup-simplify]: Simplify (+ b 0) into b 8.116 * [backup-simplify]: Simplify (+ 0 b) into b 8.116 * [backup-simplify]: Simplify (* b b) into (pow b 2) 8.116 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 8.116 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in b 8.116 * [taylor]: Taking taylor expansion of 0.5 in b 8.116 * [backup-simplify]: Simplify 0.5 into 0.5 8.116 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in b 8.116 * [taylor]: Taking taylor expansion of PI in b 8.116 * [backup-simplify]: Simplify PI into PI 8.116 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 8.116 * [taylor]: Taking taylor expansion of (- b a) in b 8.116 * [taylor]: Taking taylor expansion of b in b 8.116 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [taylor]: Taking taylor expansion of a in b 8.116 * [backup-simplify]: Simplify a into a 8.116 * [taylor]: Taking taylor expansion of (+ a b) in b 8.116 * [taylor]: Taking taylor expansion of a in b 8.116 * [backup-simplify]: Simplify a into a 8.116 * [taylor]: Taking taylor expansion of b in b 8.116 * [backup-simplify]: Simplify 0 into 0 8.116 * [backup-simplify]: Simplify 1 into 1 8.116 * [backup-simplify]: Simplify (- a) into (- a) 8.116 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.116 * [backup-simplify]: Simplify (+ a 0) into a 8.116 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 8.117 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 8.117 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in b 8.117 * [taylor]: Taking taylor expansion of 0.5 in b 8.117 * [backup-simplify]: Simplify 0.5 into 0.5 8.117 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in b 8.117 * [taylor]: Taking taylor expansion of PI in b 8.117 * [backup-simplify]: Simplify PI into PI 8.117 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 8.117 * [taylor]: Taking taylor expansion of (- b a) in b 8.117 * [taylor]: Taking taylor expansion of b in b 8.117 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.117 * [taylor]: Taking taylor expansion of a in b 8.117 * [backup-simplify]: Simplify a into a 8.117 * [taylor]: Taking taylor expansion of (+ a b) in b 8.117 * [taylor]: Taking taylor expansion of a in b 8.117 * [backup-simplify]: Simplify a into a 8.117 * [taylor]: Taking taylor expansion of b in b 8.117 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.117 * [backup-simplify]: Simplify (- a) into (- a) 8.117 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 8.117 * [backup-simplify]: Simplify (+ a 0) into a 8.117 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 8.117 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 8.117 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI (pow a 2)))) into (* -0.5 (/ PI (pow a 2))) 8.117 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 8.117 * [taylor]: Taking taylor expansion of -0.5 in a 8.117 * [backup-simplify]: Simplify -0.5 into -0.5 8.117 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.117 * [taylor]: Taking taylor expansion of PI in a 8.117 * [backup-simplify]: Simplify PI into PI 8.117 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.117 * [taylor]: Taking taylor expansion of a in a 8.117 * [backup-simplify]: Simplify 0 into 0 8.117 * [backup-simplify]: Simplify 1 into 1 8.118 * [backup-simplify]: Simplify (* 1 1) into 1 8.118 * [backup-simplify]: Simplify (/ PI 1) into PI 8.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.120 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify (+ 0 1) into 1 8.121 * [backup-simplify]: Simplify (- 0) into 0 8.121 * [backup-simplify]: Simplify (+ 1 0) into 1 8.121 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 a)) into 0 8.122 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) into 0 8.122 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (/ PI (pow a 2))))) into 0 8.122 * [taylor]: Taking taylor expansion of 0 in a 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.124 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.124 * [backup-simplify]: Simplify 0 into 0 8.124 * [backup-simplify]: Simplify (+ 0 0) into 0 8.125 * [backup-simplify]: Simplify (- 0) into 0 8.125 * [backup-simplify]: Simplify (+ 0 0) into 0 8.125 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 a))) into 1 8.126 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* 0 (/ 0 (* -1 (pow a 2)))))) into (- (/ PI (pow a 4))) 8.126 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 4)))) (+ (* 0 0) (* 0 (* -1 (/ PI (pow a 2)))))) into (- (* 0.5 (/ PI (pow a 4)))) 8.126 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 4)))) in a 8.126 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 8.126 * [taylor]: Taking taylor expansion of 0.5 in a 8.126 * [backup-simplify]: Simplify 0.5 into 0.5 8.126 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 8.126 * [taylor]: Taking taylor expansion of PI in a 8.126 * [backup-simplify]: Simplify PI into PI 8.126 * [taylor]: Taking taylor expansion of (pow a 4) in a 8.126 * [taylor]: Taking taylor expansion of a in a 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [backup-simplify]: Simplify 1 into 1 8.127 * [backup-simplify]: Simplify (* 1 1) into 1 8.127 * [backup-simplify]: Simplify (* 1 1) into 1 8.127 * [backup-simplify]: Simplify (/ PI 1) into PI 8.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.134 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.134 * [backup-simplify]: Simplify (- 0) into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.134 * [backup-simplify]: Simplify 0 into 0 8.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.136 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.136 * [backup-simplify]: Simplify 0 into 0 8.136 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) (/ 1.0 (- (/ 1 b) (/ 1 a)))) into (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) 8.137 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in (b a) around 0 8.137 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 8.137 * [taylor]: Taking taylor expansion of 0.5 in a 8.137 * [backup-simplify]: Simplify 0.5 into 0.5 8.137 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 8.137 * [taylor]: Taking taylor expansion of PI in a 8.137 * [backup-simplify]: Simplify PI into PI 8.137 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 8.137 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 8.138 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.138 * [taylor]: Taking taylor expansion of b in a 8.138 * [backup-simplify]: Simplify b into b 8.138 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.138 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.138 * [taylor]: Taking taylor expansion of a in a 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify 1 into 1 8.138 * [backup-simplify]: Simplify (/ 1 1) into 1 8.138 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.138 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.138 * [taylor]: Taking taylor expansion of a in a 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (/ 1 1) into 1 8.139 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.139 * [taylor]: Taking taylor expansion of b in a 8.139 * [backup-simplify]: Simplify b into b 8.139 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.139 * [backup-simplify]: Simplify (- 1) into -1 8.139 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.140 * [backup-simplify]: Simplify (+ 1 0) into 1 8.140 * [backup-simplify]: Simplify (* -1 1) into -1 8.141 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 8.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 8.141 * [taylor]: Taking taylor expansion of 0.5 in b 8.141 * [backup-simplify]: Simplify 0.5 into 0.5 8.141 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 8.141 * [taylor]: Taking taylor expansion of PI in b 8.141 * [backup-simplify]: Simplify PI into PI 8.141 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 8.141 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.141 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.141 * [taylor]: Taking taylor expansion of b in b 8.141 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify 1 into 1 8.141 * [backup-simplify]: Simplify (/ 1 1) into 1 8.141 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.141 * [taylor]: Taking taylor expansion of a in b 8.141 * [backup-simplify]: Simplify a into a 8.142 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.142 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.142 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.142 * [taylor]: Taking taylor expansion of a in b 8.142 * [backup-simplify]: Simplify a into a 8.142 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.142 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.142 * [taylor]: Taking taylor expansion of b in b 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.142 * [backup-simplify]: Simplify (/ 1 1) into 1 8.143 * [backup-simplify]: Simplify (+ 1 0) into 1 8.143 * [backup-simplify]: Simplify (+ 0 1) into 1 8.143 * [backup-simplify]: Simplify (* 1 1) into 1 8.144 * [backup-simplify]: Simplify (/ PI 1) into PI 8.144 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 8.144 * [taylor]: Taking taylor expansion of 0.5 in b 8.144 * [backup-simplify]: Simplify 0.5 into 0.5 8.144 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 8.144 * [taylor]: Taking taylor expansion of PI in b 8.144 * [backup-simplify]: Simplify PI into PI 8.144 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 8.144 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 8.144 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.144 * [taylor]: Taking taylor expansion of b in b 8.144 * [backup-simplify]: Simplify 0 into 0 8.144 * [backup-simplify]: Simplify 1 into 1 8.144 * [backup-simplify]: Simplify (/ 1 1) into 1 8.145 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.145 * [taylor]: Taking taylor expansion of a in b 8.145 * [backup-simplify]: Simplify a into a 8.145 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.145 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.145 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.145 * [taylor]: Taking taylor expansion of a in b 8.145 * [backup-simplify]: Simplify a into a 8.145 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.145 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.145 * [taylor]: Taking taylor expansion of b in b 8.145 * [backup-simplify]: Simplify 0 into 0 8.145 * [backup-simplify]: Simplify 1 into 1 8.145 * [backup-simplify]: Simplify (/ 1 1) into 1 8.146 * [backup-simplify]: Simplify (+ 1 0) into 1 8.146 * [backup-simplify]: Simplify (+ 0 1) into 1 8.147 * [backup-simplify]: Simplify (* 1 1) into 1 8.147 * [backup-simplify]: Simplify (/ PI 1) into PI 8.148 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 8.148 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 8.148 * [taylor]: Taking taylor expansion of 0.5 in a 8.148 * [backup-simplify]: Simplify 0.5 into 0.5 8.148 * [taylor]: Taking taylor expansion of PI in a 8.148 * [backup-simplify]: Simplify PI into PI 8.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.149 * [backup-simplify]: Simplify 0 into 0 8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.150 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.151 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 8.151 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 8.151 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 8.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.152 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 8.152 * [taylor]: Taking taylor expansion of 0 in a 8.152 * [backup-simplify]: Simplify 0 into 0 8.152 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.155 * [backup-simplify]: Simplify (+ 0 0) into 0 8.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.156 * [backup-simplify]: Simplify (- 0) into 0 8.156 * [backup-simplify]: Simplify (+ 0 0) into 0 8.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 8.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 8.159 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 8.159 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.159 * [taylor]: Taking taylor expansion of 0.5 in a 8.160 * [backup-simplify]: Simplify 0.5 into 0.5 8.160 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.160 * [taylor]: Taking taylor expansion of PI in a 8.160 * [backup-simplify]: Simplify PI into PI 8.160 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.160 * [taylor]: Taking taylor expansion of a in a 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.160 * [backup-simplify]: Simplify (* 1 1) into 1 8.160 * [backup-simplify]: Simplify (/ PI 1) into PI 8.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.177 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) 8.179 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in (b a) around 0 8.179 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 8.179 * [taylor]: Taking taylor expansion of -0.5 in a 8.179 * [backup-simplify]: Simplify -0.5 into -0.5 8.179 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 8.179 * [taylor]: Taking taylor expansion of PI in a 8.179 * [backup-simplify]: Simplify PI into PI 8.179 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 8.179 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 8.179 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.179 * [taylor]: Taking taylor expansion of a in a 8.179 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (/ 1 1) into 1 8.180 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.180 * [taylor]: Taking taylor expansion of b in a 8.180 * [backup-simplify]: Simplify b into b 8.180 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.180 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.180 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.180 * [taylor]: Taking taylor expansion of a in a 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 1 into 1 8.180 * [backup-simplify]: Simplify (/ 1 1) into 1 8.180 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.180 * [taylor]: Taking taylor expansion of b in a 8.180 * [backup-simplify]: Simplify b into b 8.181 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.181 * [backup-simplify]: Simplify (+ 1 0) into 1 8.181 * [backup-simplify]: Simplify (+ 1 0) into 1 8.182 * [backup-simplify]: Simplify (* 1 1) into 1 8.182 * [backup-simplify]: Simplify (/ PI 1) into PI 8.182 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 8.182 * [taylor]: Taking taylor expansion of -0.5 in b 8.182 * [backup-simplify]: Simplify -0.5 into -0.5 8.182 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 8.182 * [taylor]: Taking taylor expansion of PI in b 8.182 * [backup-simplify]: Simplify PI into PI 8.182 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 8.182 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.182 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.182 * [taylor]: Taking taylor expansion of a in b 8.182 * [backup-simplify]: Simplify a into a 8.183 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.183 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.183 * [taylor]: Taking taylor expansion of b in b 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [backup-simplify]: Simplify (/ 1 1) into 1 8.183 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.183 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.183 * [taylor]: Taking taylor expansion of a in b 8.183 * [backup-simplify]: Simplify a into a 8.183 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.183 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.183 * [taylor]: Taking taylor expansion of b in b 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.184 * [backup-simplify]: Simplify (/ 1 1) into 1 8.184 * [backup-simplify]: Simplify (- 1) into -1 8.184 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.185 * [backup-simplify]: Simplify (+ 0 1) into 1 8.185 * [backup-simplify]: Simplify (* -1 1) into -1 8.186 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 8.186 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 8.186 * [taylor]: Taking taylor expansion of -0.5 in b 8.186 * [backup-simplify]: Simplify -0.5 into -0.5 8.186 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 8.186 * [taylor]: Taking taylor expansion of PI in b 8.186 * [backup-simplify]: Simplify PI into PI 8.186 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 8.186 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 8.186 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.186 * [taylor]: Taking taylor expansion of a in b 8.186 * [backup-simplify]: Simplify a into a 8.186 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.186 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.186 * [taylor]: Taking taylor expansion of b in b 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 1 into 1 8.186 * [backup-simplify]: Simplify (/ 1 1) into 1 8.186 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.186 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.186 * [taylor]: Taking taylor expansion of a in b 8.187 * [backup-simplify]: Simplify a into a 8.187 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.187 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.187 * [taylor]: Taking taylor expansion of b in b 8.187 * [backup-simplify]: Simplify 0 into 0 8.187 * [backup-simplify]: Simplify 1 into 1 8.187 * [backup-simplify]: Simplify (/ 1 1) into 1 8.187 * [backup-simplify]: Simplify (- 1) into -1 8.188 * [backup-simplify]: Simplify (+ 0 -1) into -1 8.188 * [backup-simplify]: Simplify (+ 0 1) into 1 8.188 * [backup-simplify]: Simplify (* -1 1) into -1 8.189 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 8.190 * [backup-simplify]: Simplify (* -0.5 (* -1 PI)) into (* 0.5 PI) 8.190 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 8.190 * [taylor]: Taking taylor expansion of 0.5 in a 8.190 * [backup-simplify]: Simplify 0.5 into 0.5 8.190 * [taylor]: Taking taylor expansion of PI in a 8.190 * [backup-simplify]: Simplify PI into PI 8.191 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 8.191 * [backup-simplify]: Simplify 0 into 0 8.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.192 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.193 * [backup-simplify]: Simplify (- 0) into 0 8.193 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 8.193 * [backup-simplify]: Simplify (+ (* -1 (/ 1 a)) (* (/ 1 a) 1)) into 0 8.194 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 8.195 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (* -1 PI))) into 0 8.195 * [taylor]: Taking taylor expansion of 0 in a 8.195 * [backup-simplify]: Simplify 0 into 0 8.195 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.196 * [backup-simplify]: Simplify 0 into 0 8.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.198 * [backup-simplify]: Simplify (+ 0 0) into 0 8.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 8.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (- 0) into 0 8.199 * [backup-simplify]: Simplify (+ 0 0) into 0 8.200 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 1))) into (/ 1 (pow a 2)) 8.202 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow a 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow a 2))) 8.203 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI (pow a 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (* 0.5 (/ PI (pow a 2))) 8.203 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 8.203 * [taylor]: Taking taylor expansion of 0.5 in a 8.203 * [backup-simplify]: Simplify 0.5 into 0.5 8.203 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 8.203 * [taylor]: Taking taylor expansion of PI in a 8.203 * [backup-simplify]: Simplify PI into PI 8.203 * [taylor]: Taking taylor expansion of (pow a 2) in a 8.203 * [taylor]: Taking taylor expansion of a in a 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify 1 into 1 8.203 * [backup-simplify]: Simplify (* 1 1) into 1 8.204 * [backup-simplify]: Simplify (/ PI 1) into PI 8.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * [backup-simplify]: Simplify 0 into 0 8.213 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 8.213 * [backup-simplify]: Simplify (- (/ 1.0 a) (/ 1.0 b)) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 8.213 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in (a b) around 0 8.213 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 8.213 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 8.213 * [taylor]: Taking taylor expansion of 1.0 in b 8.214 * [backup-simplify]: Simplify 1.0 into 1.0 8.214 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.214 * [taylor]: Taking taylor expansion of a in b 8.214 * [backup-simplify]: Simplify a into a 8.214 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.214 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 8.214 * [taylor]: Taking taylor expansion of 1.0 in b 8.214 * [backup-simplify]: Simplify 1.0 into 1.0 8.214 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.214 * [taylor]: Taking taylor expansion of b in b 8.214 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify 1 into 1 8.214 * [backup-simplify]: Simplify (/ 1 1) into 1 8.214 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 8.214 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 8.214 * [taylor]: Taking taylor expansion of 1.0 in a 8.214 * [backup-simplify]: Simplify 1.0 into 1.0 8.214 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.214 * [taylor]: Taking taylor expansion of a in a 8.214 * [backup-simplify]: Simplify 0 into 0 8.214 * [backup-simplify]: Simplify 1 into 1 8.215 * [backup-simplify]: Simplify (/ 1 1) into 1 8.215 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 8.215 * [taylor]: Taking taylor expansion of 1.0 in a 8.215 * [backup-simplify]: Simplify 1.0 into 1.0 8.215 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.215 * [taylor]: Taking taylor expansion of b in a 8.215 * [backup-simplify]: Simplify b into b 8.215 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.215 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 8.215 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 8.215 * [taylor]: Taking taylor expansion of 1.0 in a 8.215 * [backup-simplify]: Simplify 1.0 into 1.0 8.215 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.215 * [taylor]: Taking taylor expansion of a in a 8.215 * [backup-simplify]: Simplify 0 into 0 8.215 * [backup-simplify]: Simplify 1 into 1 8.216 * [backup-simplify]: Simplify (/ 1 1) into 1 8.216 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 8.216 * [taylor]: Taking taylor expansion of 1.0 in a 8.216 * [backup-simplify]: Simplify 1.0 into 1.0 8.216 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.216 * [taylor]: Taking taylor expansion of b in a 8.216 * [backup-simplify]: Simplify b into b 8.216 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.216 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.217 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.217 * [taylor]: Taking taylor expansion of 1.0 in b 8.217 * [backup-simplify]: Simplify 1.0 into 1.0 8.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.218 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 8.218 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 8.218 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 8.218 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 8.218 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b))) in b 8.219 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 8.219 * [taylor]: Taking taylor expansion of 1.0 in b 8.219 * [backup-simplify]: Simplify 1.0 into 1.0 8.219 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.219 * [taylor]: Taking taylor expansion of b in b 8.219 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify 1 into 1 8.219 * [backup-simplify]: Simplify (/ 1 1) into 1 8.219 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 8.220 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.220 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.220 * [backup-simplify]: Simplify 1.0 into 1.0 8.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.222 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 8.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.222 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 8.223 * [backup-simplify]: Simplify (- 0) into 0 8.223 * [backup-simplify]: Simplify (+ 0 0) into 0 8.223 * [taylor]: Taking taylor expansion of 0 in b 8.223 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.225 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 8.225 * [backup-simplify]: Simplify (- 0) into 0 8.225 * [backup-simplify]: Simplify 0 into 0 8.225 * [backup-simplify]: Simplify 0 into 0 8.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.227 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 8.228 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 8.228 * [backup-simplify]: Simplify (- 0) into 0 8.229 * [backup-simplify]: Simplify (+ 0 0) into 0 8.229 * [taylor]: Taking taylor expansion of 0 in b 8.229 * [backup-simplify]: Simplify 0 into 0 8.229 * [backup-simplify]: Simplify 0 into 0 8.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.231 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 8.231 * [backup-simplify]: Simplify (- 0) into 0 8.231 * [backup-simplify]: Simplify 0 into 0 8.231 * [backup-simplify]: Simplify 0 into 0 8.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.233 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 8.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 8.234 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 8.235 * [backup-simplify]: Simplify (- 0) into 0 8.235 * [backup-simplify]: Simplify (+ 0 0) into 0 8.235 * [taylor]: Taking taylor expansion of 0 in b 8.235 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 a))) (* (- 1.0) (* (/ 1 b) 1))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 8.236 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) into (- (* 1.0 a) (* 1.0 b)) 8.236 * [approximate]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in (a b) around 0 8.236 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 8.236 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 8.236 * [taylor]: Taking taylor expansion of 1.0 in b 8.236 * [backup-simplify]: Simplify 1.0 into 1.0 8.236 * [taylor]: Taking taylor expansion of a in b 8.236 * [backup-simplify]: Simplify a into a 8.236 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 8.236 * [taylor]: Taking taylor expansion of 1.0 in b 8.236 * [backup-simplify]: Simplify 1.0 into 1.0 8.236 * [taylor]: Taking taylor expansion of b in b 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 1 into 1 8.236 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 8.236 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 8.236 * [taylor]: Taking taylor expansion of 1.0 in a 8.236 * [backup-simplify]: Simplify 1.0 into 1.0 8.237 * [taylor]: Taking taylor expansion of a in a 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 1 into 1 8.237 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 8.237 * [taylor]: Taking taylor expansion of 1.0 in a 8.237 * [backup-simplify]: Simplify 1.0 into 1.0 8.237 * [taylor]: Taking taylor expansion of b in a 8.237 * [backup-simplify]: Simplify b into b 8.237 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 8.237 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 8.237 * [taylor]: Taking taylor expansion of 1.0 in a 8.237 * [backup-simplify]: Simplify 1.0 into 1.0 8.237 * [taylor]: Taking taylor expansion of a in a 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 1 into 1 8.237 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 8.237 * [taylor]: Taking taylor expansion of 1.0 in a 8.237 * [backup-simplify]: Simplify 1.0 into 1.0 8.237 * [taylor]: Taking taylor expansion of b in a 8.237 * [backup-simplify]: Simplify b into b 8.238 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.238 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 8.238 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 8.238 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 8.238 * [taylor]: Taking taylor expansion of (- (* 1.0 b)) in b 8.238 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 8.238 * [taylor]: Taking taylor expansion of 1.0 in b 8.238 * [backup-simplify]: Simplify 1.0 into 1.0 8.238 * [taylor]: Taking taylor expansion of b in b 8.238 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify 1 into 1 8.238 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.239 * [backup-simplify]: Simplify (- 0) into 0 8.239 * [backup-simplify]: Simplify 0 into 0 8.240 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.240 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 8.241 * [backup-simplify]: Simplify (- 0) into 0 8.241 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 8.241 * [taylor]: Taking taylor expansion of 1.0 in b 8.241 * [backup-simplify]: Simplify 1.0 into 1.0 8.241 * [backup-simplify]: Simplify 1.0 into 1.0 8.243 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.243 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.243 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.244 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.245 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 8.245 * [backup-simplify]: Simplify (- 0) into 0 8.246 * [backup-simplify]: Simplify (+ 0 0) into 0 8.246 * [taylor]: Taking taylor expansion of 0 in b 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.246 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.247 * [backup-simplify]: Simplify (- 0) into 0 8.247 * [backup-simplify]: Simplify 0 into 0 8.248 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.249 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 8.249 * [backup-simplify]: Simplify (- 0) into 0 8.250 * [backup-simplify]: Simplify (+ 0 0) into 0 8.250 * [taylor]: Taking taylor expansion of 0 in b 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify 0 into 0 8.250 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 b) 1)) (* 1.0 (* 1 (/ 1 a)))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 8.251 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) into (- (* 1.0 b) (* 1.0 a)) 8.251 * [approximate]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in (a b) around 0 8.251 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 8.251 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 8.251 * [taylor]: Taking taylor expansion of 1.0 in b 8.251 * [backup-simplify]: Simplify 1.0 into 1.0 8.251 * [taylor]: Taking taylor expansion of b in b 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 1 into 1 8.251 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 8.251 * [taylor]: Taking taylor expansion of 1.0 in b 8.251 * [backup-simplify]: Simplify 1.0 into 1.0 8.251 * [taylor]: Taking taylor expansion of a in b 8.251 * [backup-simplify]: Simplify a into a 8.251 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 8.251 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 8.251 * [taylor]: Taking taylor expansion of 1.0 in a 8.251 * [backup-simplify]: Simplify 1.0 into 1.0 8.251 * [taylor]: Taking taylor expansion of b in a 8.251 * [backup-simplify]: Simplify b into b 8.251 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 8.251 * [taylor]: Taking taylor expansion of 1.0 in a 8.251 * [backup-simplify]: Simplify 1.0 into 1.0 8.251 * [taylor]: Taking taylor expansion of a in a 8.251 * [backup-simplify]: Simplify 0 into 0 8.251 * [backup-simplify]: Simplify 1 into 1 8.251 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 8.251 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 8.251 * [taylor]: Taking taylor expansion of 1.0 in a 8.251 * [backup-simplify]: Simplify 1.0 into 1.0 8.251 * [taylor]: Taking taylor expansion of b in a 8.251 * [backup-simplify]: Simplify b into b 8.251 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 8.251 * [taylor]: Taking taylor expansion of 1.0 in a 8.252 * [backup-simplify]: Simplify 1.0 into 1.0 8.252 * [taylor]: Taking taylor expansion of a in a 8.252 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify 1 into 1 8.252 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 8.252 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.252 * [backup-simplify]: Simplify (- 0) into 0 8.253 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 8.253 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 8.253 * [taylor]: Taking taylor expansion of 1.0 in b 8.253 * [backup-simplify]: Simplify 1.0 into 1.0 8.253 * [taylor]: Taking taylor expansion of b in b 8.253 * [backup-simplify]: Simplify 0 into 0 8.253 * [backup-simplify]: Simplify 1 into 1 8.253 * [backup-simplify]: Simplify (* 1.0 0) into 0 8.253 * [backup-simplify]: Simplify 0 into 0 8.254 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 8.255 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.255 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.256 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 8.256 * [taylor]: Taking taylor expansion of (- 1.0) in b 8.256 * [taylor]: Taking taylor expansion of 1.0 in b 8.256 * [backup-simplify]: Simplify 1.0 into 1.0 8.256 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.257 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 8.258 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 8.258 * [backup-simplify]: Simplify 1.0 into 1.0 8.259 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 8.260 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.260 * [backup-simplify]: Simplify (- 0) into 0 8.260 * [backup-simplify]: Simplify (+ 0 0) into 0 8.260 * [taylor]: Taking taylor expansion of 0 in b 8.260 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify 0 into 0 8.261 * [backup-simplify]: Simplify (- 0) into 0 8.261 * [backup-simplify]: Simplify 0 into 0 8.262 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 8.262 * [backup-simplify]: Simplify 0 into 0 8.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 8.264 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.264 * [backup-simplify]: Simplify (- 0) into 0 8.265 * [backup-simplify]: Simplify (+ 0 0) into 0 8.265 * [taylor]: Taking taylor expansion of 0 in b 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify 0 into 0 8.265 * [backup-simplify]: Simplify (- 0) into 0 8.265 * [backup-simplify]: Simplify 0 into 0 8.266 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- b)) 1)) (* (- 1.0) (* 1 (/ 1 (- a))))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 8.266 * * * [progress]: simplifying candidates 8.302 * [simplify]: Simplifying: (expm1 (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ b a))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ b a))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a))) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a)))) (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (cbrt (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 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(/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (/ (exp (/ 1.0 a)) (exp (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (- (* 1.0 b) (* a 1.0)) (* a b) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3)) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b)))) (- (/ 1.0 b)) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b))) (+ (/ 1.0 a) (/ 1.0 b)) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1.0 b)) 0 0 0 0 0 0 0 0 0 (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 8.346 * * [simplify]: Extracting # 0 : cost 0 8.348 * * [simplify]: Extracting # 1 : cost 0 8.350 * * [simplify]: Extracting # 2 : cost 0 8.352 * * [simplify]: Extracting # 3 : cost 0 8.354 * * [simplify]: Extracting # 4 : cost 0 8.360 * * [simplify]: Extracting # 5 : cost 0 8.362 * * [simplify]: Extracting # 6 : cost 0 8.364 * * [simplify]: Extracting # 7 : cost 0 8.366 * * [simplify]: Extracting # 8 : cost 0 8.368 * * [simplify]: iteration 0 : 1024 enodes (cost 37421 ) 8.941 * * [simplify]: Extracting # 0 : cost 0 8.947 * * [simplify]: Extracting # 1 : cost 0 8.952 * * [simplify]: Extracting # 2 : cost 0 8.957 * * [simplify]: Extracting # 3 : cost 0 8.966 * * [simplify]: Extracting # 4 : cost 0 8.970 * * [simplify]: Extracting # 5 : cost 0 8.977 * * [simplify]: iteration 1 : 3368 enodes (cost 34352 ) 10.519 * * [simplify]: Extracting # 0 : cost 0 10.537 * * [simplify]: Extracting # 1 : cost 0 10.543 * * [simplify]: Extracting # 2 : cost 0 10.549 * * [simplify]: Extracting # 3 : cost 0 10.556 * * [simplify]: Extracting # 4 : cost 0 10.567 * * [simplify]: iteration done: 5001 enodes (cost 30536 ) 10.585 * [simplify]: Simplified to: (expm1 (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (/ PI (* (+ b a) 2.0))) (/ 1.0 (- b a))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (/ PI (* (+ b a) 2.0))) (/ 1.0 (- b a))) (log (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ 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b)) (/ 1.0 b)) (+ (/ 1.0 a) (- (pow (/ (cbrt 1.0) (cbrt b)) 3))) (+ (- (pow (/ (cbrt 1.0) (cbrt b)) 3)) (pow (/ (cbrt 1.0) (cbrt b)) 3)) (+ (/ 1.0 a) (- (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b))))) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)) (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)))) (+ (/ 1.0 a) (- (/ (pow (cbrt 1.0) 3) b))) (+ (- (/ (pow (cbrt 1.0) 3) b)) (/ (pow (cbrt 1.0) 3) b)) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b)))))) (fma (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))))) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (fma (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (+ (/ 1.0 a) (/ (- (/ 1.0 (cbrt b))) (* (cbrt b) (cbrt b)))) (+ (/ (- (/ 1.0 (cbrt b))) (* (cbrt b) (cbrt b))) (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (+ (/ 1.0 a) (- (/ (/ 1.0 (sqrt b)) (sqrt b)))) (+ (- (/ (/ 1.0 (sqrt b)) (sqrt b))) (/ (/ 1.0 (sqrt b)) (sqrt b))) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (+ (/ 1.0 a) (- (pow (/ (cbrt 1.0) (cbrt b)) 3))) (+ (- (pow (/ (cbrt 1.0) (cbrt b)) 3)) (pow (/ (cbrt 1.0) (cbrt b)) 3)) (+ (/ 1.0 a) (- (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b))))) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)) (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)))) (+ (/ 1.0 a) (- (/ (pow (cbrt 1.0) 3) b))) (+ (- (/ (pow (cbrt 1.0) 3) b)) (/ (pow (cbrt 1.0) 3) b)) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b)))))) (fma (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))))) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (fma (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (+ (/ 1.0 a) (/ (- (/ 1.0 (cbrt b))) (* (cbrt b) (cbrt b)))) (+ (/ (- (/ 1.0 (cbrt b))) (* (cbrt b) (cbrt b))) (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (+ (/ 1.0 a) (- (/ (/ 1.0 (sqrt b)) (sqrt b)))) (+ (- (/ (/ 1.0 (sqrt b)) (sqrt b))) (/ (/ 1.0 (sqrt b)) (sqrt b))) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (expm1 (- (/ 1.0 a) (/ 1.0 b))) (log1p (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (exp (- (/ 1.0 a) (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (pow (- (/ 1.0 a) (/ 1.0 b)) 3) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (- (* 1.0 b) (* a 1.0)) (* a b) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3)) (fma (/ 1.0 a) (/ 1.0 a) (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a)))) (- (/ 1.0 b)) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b))) (+ (/ 1.0 a) (/ 1.0 b)) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1.0 b)) 0 0 0 0 0 0 0 0 0 (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) 10.601 * * * [progress]: adding candidates to table 13.418 * * [progress]: iteration 3 / 4 13.418 * * * [progress]: picking best candidate 13.478 * * * * [pick]: Picked # 13.478 * * * [progress]: localizing error 13.498 * * * [progress]: generating rewritten candidates 13.498 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 13.752 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 13.770 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 14.000 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 14.140 * * * [progress]: generating series expansions 14.140 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 14.141 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) 14.141 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in (b a) around 0 14.141 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in a 14.141 * [taylor]: Taking taylor expansion of 0.5 in a 14.141 * [backup-simplify]: Simplify 0.5 into 0.5 14.141 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in a 14.141 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 14.141 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 14.141 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 14.141 * [taylor]: Taking taylor expansion of 1.0 in a 14.141 * [backup-simplify]: Simplify 1.0 into 1.0 14.141 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.141 * [taylor]: Taking taylor expansion of a in a 14.141 * [backup-simplify]: Simplify 0 into 0 14.142 * [backup-simplify]: Simplify 1 into 1 14.142 * [backup-simplify]: Simplify (/ 1 1) into 1 14.142 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 14.142 * [taylor]: Taking taylor expansion of 1.0 in a 14.142 * [backup-simplify]: Simplify 1.0 into 1.0 14.142 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.142 * [taylor]: Taking taylor expansion of b in a 14.142 * [backup-simplify]: Simplify b into b 14.142 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.142 * [taylor]: Taking taylor expansion of PI in a 14.142 * [backup-simplify]: Simplify PI into PI 14.142 * [taylor]: Taking taylor expansion of (+ a b) in a 14.142 * [taylor]: Taking taylor expansion of a in a 14.142 * [backup-simplify]: Simplify 0 into 0 14.142 * [backup-simplify]: Simplify 1 into 1 14.142 * [taylor]: Taking taylor expansion of b in a 14.143 * [backup-simplify]: Simplify b into b 14.143 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.143 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.144 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 14.144 * [backup-simplify]: Simplify (+ 0 b) into b 14.145 * [backup-simplify]: Simplify (/ (* 1.0 PI) b) into (* 1.0 (/ PI b)) 14.145 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in b 14.145 * [taylor]: Taking taylor expansion of 0.5 in b 14.145 * [backup-simplify]: Simplify 0.5 into 0.5 14.145 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in b 14.145 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 14.145 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 14.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 14.145 * [taylor]: Taking taylor expansion of 1.0 in b 14.145 * [backup-simplify]: Simplify 1.0 into 1.0 14.145 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.145 * [taylor]: Taking taylor expansion of a in b 14.145 * [backup-simplify]: Simplify a into a 14.145 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 14.145 * [taylor]: Taking taylor expansion of 1.0 in b 14.145 * [backup-simplify]: Simplify 1.0 into 1.0 14.145 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.145 * [taylor]: Taking taylor expansion of b in b 14.145 * [backup-simplify]: Simplify 0 into 0 14.145 * [backup-simplify]: Simplify 1 into 1 14.146 * [backup-simplify]: Simplify (/ 1 1) into 1 14.146 * [taylor]: Taking taylor expansion of PI in b 14.146 * [backup-simplify]: Simplify PI into PI 14.146 * [taylor]: Taking taylor expansion of (+ a b) in b 14.146 * [taylor]: Taking taylor expansion of a in b 14.146 * [backup-simplify]: Simplify a into a 14.146 * [taylor]: Taking taylor expansion of b in b 14.146 * [backup-simplify]: Simplify 0 into 0 14.146 * [backup-simplify]: Simplify 1 into 1 14.146 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.147 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.148 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 14.149 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 14.149 * [backup-simplify]: Simplify (+ a 0) into a 14.149 * [backup-simplify]: Simplify (/ (* -1.0 PI) a) into (* -1.0 (/ PI a)) 14.149 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in b 14.149 * [taylor]: Taking taylor expansion of 0.5 in b 14.149 * [backup-simplify]: Simplify 0.5 into 0.5 14.149 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in b 14.149 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 14.149 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 14.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 14.150 * [taylor]: Taking taylor expansion of 1.0 in b 14.150 * [backup-simplify]: Simplify 1.0 into 1.0 14.150 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.150 * [taylor]: Taking taylor expansion of a in b 14.150 * [backup-simplify]: Simplify a into a 14.150 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.150 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 14.150 * [taylor]: Taking taylor expansion of 1.0 in b 14.150 * [backup-simplify]: Simplify 1.0 into 1.0 14.150 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.150 * [taylor]: Taking taylor expansion of b in b 14.150 * [backup-simplify]: Simplify 0 into 0 14.150 * [backup-simplify]: Simplify 1 into 1 14.150 * [backup-simplify]: Simplify (/ 1 1) into 1 14.150 * [taylor]: Taking taylor expansion of PI in b 14.150 * [backup-simplify]: Simplify PI into PI 14.150 * [taylor]: Taking taylor expansion of (+ a b) in b 14.150 * [taylor]: Taking taylor expansion of a in b 14.150 * [backup-simplify]: Simplify a into a 14.150 * [taylor]: Taking taylor expansion of b in b 14.151 * [backup-simplify]: Simplify 0 into 0 14.151 * [backup-simplify]: Simplify 1 into 1 14.151 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.151 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.152 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 14.166 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 14.166 * [backup-simplify]: Simplify (+ a 0) into a 14.166 * [backup-simplify]: Simplify (/ (* -1.0 PI) a) into (* -1.0 (/ PI a)) 14.167 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (/ PI a))) into (* -0.5 (/ PI a)) 14.167 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI a)) in a 14.167 * [taylor]: Taking taylor expansion of -0.5 in a 14.167 * [backup-simplify]: Simplify -0.5 into -0.5 14.167 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.167 * [taylor]: Taking taylor expansion of PI in a 14.167 * [backup-simplify]: Simplify PI into PI 14.167 * [taylor]: Taking taylor expansion of a in a 14.167 * [backup-simplify]: Simplify 0 into 0 14.167 * [backup-simplify]: Simplify 1 into 1 14.167 * [backup-simplify]: Simplify (/ PI 1) into PI 14.168 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 14.168 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 14.169 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 14.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.170 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 14.171 * [backup-simplify]: Simplify (- 0) into 0 14.171 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 14.171 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 14.172 * [backup-simplify]: Simplify (+ 0 1) into 1 14.172 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) a) (+ (* (* -1.0 (/ PI a)) (/ 1 a)))) into (* 2.0 (/ PI (pow a 2))) 14.172 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow a 2)))) (* 0 (* -1.0 (/ PI a)))) into (* 1.0 (/ PI (pow a 2))) 14.172 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 14.172 * [taylor]: Taking taylor expansion of 1.0 in a 14.172 * [backup-simplify]: Simplify 1.0 into 1.0 14.172 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.172 * [taylor]: Taking taylor expansion of PI in a 14.173 * [backup-simplify]: Simplify PI into PI 14.173 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.173 * [taylor]: Taking taylor expansion of a in a 14.173 * [backup-simplify]: Simplify 0 into 0 14.173 * [backup-simplify]: Simplify 1 into 1 14.173 * [backup-simplify]: Simplify (* 1 1) into 1 14.173 * [backup-simplify]: Simplify (/ PI 1) into PI 14.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.175 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 14.176 * [backup-simplify]: Simplify 0 into 0 14.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.177 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 14.177 * [backup-simplify]: Simplify 0 into 0 14.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.178 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 14.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.180 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 14.180 * [backup-simplify]: Simplify (- 0) into 0 14.181 * [backup-simplify]: Simplify (+ 0 0) into 0 14.182 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 14.182 * [backup-simplify]: Simplify (+ 0 0) into 0 14.183 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1.0 (/ PI a)) (/ 0 a)) (* (* 2.0 (/ PI (pow a 2))) (/ 1 a)))) into (- (* 2.0 (/ PI (pow a 3)))) 14.183 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow a 3))))) (+ (* 0 (* 2.0 (/ PI (pow a 2)))) (* 0 (* -1.0 (/ PI a))))) into (- (* 1.0 (/ PI (pow a 3)))) 14.183 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 14.184 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 14.184 * [taylor]: Taking taylor expansion of 1.0 in a 14.184 * [backup-simplify]: Simplify 1.0 into 1.0 14.184 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 14.184 * [taylor]: Taking taylor expansion of PI in a 14.184 * [backup-simplify]: Simplify PI into PI 14.184 * [taylor]: Taking taylor expansion of (pow a 3) in a 14.184 * [taylor]: Taking taylor expansion of a in a 14.184 * [backup-simplify]: Simplify 0 into 0 14.184 * [backup-simplify]: Simplify 1 into 1 14.184 * [backup-simplify]: Simplify (* 1 1) into 1 14.185 * [backup-simplify]: Simplify (* 1 1) into 1 14.185 * [backup-simplify]: Simplify (/ PI 1) into PI 14.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) 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 0 into 0 14.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.194 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.194 * [backup-simplify]: Simplify 0 into 0 14.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.196 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.196 * [backup-simplify]: Simplify 0 into 0 14.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.198 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 14.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.200 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.200 * [backup-simplify]: Simplify (- 0) into 0 14.200 * [backup-simplify]: Simplify (+ 0 0) into 0 14.202 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 14.202 * [backup-simplify]: Simplify (+ 0 0) into 0 14.203 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1.0 (/ PI a)) (/ 0 a)) (* (* 2.0 (/ PI (pow a 2))) (/ 0 a)) (* (- (* 2.0 (/ PI (pow a 3)))) (/ 1 a)))) into (* 2.0 (/ PI (pow a 4))) 14.204 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow a 4)))) (+ (* 0 (- (* 2.0 (/ PI (pow a 3))))) (+ (* 0 (* 2.0 (/ PI (pow a 2)))) (* 0 (* -1.0 (/ PI a)))))) into (* 1.0 (/ PI (pow a 4))) 14.204 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 4))) in a 14.204 * [taylor]: Taking taylor expansion of 1.0 in a 14.204 * [backup-simplify]: Simplify 1.0 into 1.0 14.204 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) 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 (pow a 4) 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 * [backup-simplify]: Simplify (* 1 1) into 1 14.205 * [backup-simplify]: Simplify (* 1 1) into 1 14.205 * [backup-simplify]: Simplify (/ PI 1) into PI 14.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.216 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.216 * [backup-simplify]: Simplify 0 into 0 14.216 * [backup-simplify]: Simplify (* (* -0.5 PI) (* (/ 1 a) (/ 1 b))) into (* -0.5 (/ PI (* a b))) 14.217 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) 1.0) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) 14.217 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 14.217 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in a 14.217 * [taylor]: Taking taylor expansion of 0.5 in a 14.218 * [backup-simplify]: Simplify 0.5 into 0.5 14.218 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 14.218 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 14.218 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 14.218 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 14.218 * [taylor]: Taking taylor expansion of 1.0 in a 14.218 * [backup-simplify]: Simplify 1.0 into 1.0 14.218 * [taylor]: Taking taylor expansion of a in a 14.218 * [backup-simplify]: Simplify 0 into 0 14.218 * [backup-simplify]: Simplify 1 into 1 14.218 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 14.218 * [taylor]: Taking taylor expansion of 1.0 in a 14.218 * [backup-simplify]: Simplify 1.0 into 1.0 14.218 * [taylor]: Taking taylor expansion of b in a 14.218 * [backup-simplify]: Simplify b into b 14.218 * [taylor]: Taking taylor expansion of PI in a 14.218 * [backup-simplify]: Simplify PI into PI 14.218 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.218 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.218 * [taylor]: Taking taylor expansion of a in a 14.218 * [backup-simplify]: Simplify 0 into 0 14.218 * [backup-simplify]: Simplify 1 into 1 14.219 * [backup-simplify]: Simplify (/ 1 1) into 1 14.219 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.219 * [taylor]: Taking taylor expansion of b in a 14.219 * [backup-simplify]: Simplify b into b 14.219 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.219 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.219 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 14.219 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 14.219 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 14.220 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 14.220 * [backup-simplify]: Simplify (+ 1 0) into 1 14.220 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) 1) into (* -1.0 (* b PI)) 14.220 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in b 14.220 * [taylor]: Taking taylor expansion of 0.5 in b 14.220 * [backup-simplify]: Simplify 0.5 into 0.5 14.220 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in b 14.220 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 14.220 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 14.220 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 14.220 * [taylor]: Taking taylor expansion of 1.0 in b 14.220 * [backup-simplify]: Simplify 1.0 into 1.0 14.220 * [taylor]: Taking taylor expansion of a in b 14.220 * [backup-simplify]: Simplify a into a 14.221 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.221 * [taylor]: Taking taylor expansion of 1.0 in b 14.221 * [backup-simplify]: Simplify 1.0 into 1.0 14.221 * [taylor]: Taking taylor expansion of b in b 14.221 * [backup-simplify]: Simplify 0 into 0 14.221 * [backup-simplify]: Simplify 1 into 1 14.221 * [taylor]: Taking taylor expansion of PI in b 14.221 * [backup-simplify]: Simplify PI into PI 14.221 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.221 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.221 * [taylor]: Taking taylor expansion of a in b 14.221 * [backup-simplify]: Simplify a into a 14.221 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.221 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.221 * [taylor]: Taking taylor expansion of b in b 14.221 * [backup-simplify]: Simplify 0 into 0 14.221 * [backup-simplify]: Simplify 1 into 1 14.221 * [backup-simplify]: Simplify (/ 1 1) into 1 14.222 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 14.222 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.222 * [backup-simplify]: Simplify (- 0) into 0 14.222 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 14.222 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 14.223 * [backup-simplify]: Simplify (+ 0 1) into 1 14.223 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 14.223 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in b 14.223 * [taylor]: Taking taylor expansion of 0.5 in b 14.223 * [backup-simplify]: Simplify 0.5 into 0.5 14.223 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in b 14.223 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 14.223 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 14.223 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 14.223 * [taylor]: Taking taylor expansion of 1.0 in b 14.223 * [backup-simplify]: Simplify 1.0 into 1.0 14.223 * [taylor]: Taking taylor expansion of a in b 14.223 * [backup-simplify]: Simplify a into a 14.223 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.224 * [taylor]: Taking taylor expansion of 1.0 in b 14.224 * [backup-simplify]: Simplify 1.0 into 1.0 14.224 * [taylor]: Taking taylor expansion of b in b 14.224 * [backup-simplify]: Simplify 0 into 0 14.224 * [backup-simplify]: Simplify 1 into 1 14.224 * [taylor]: Taking taylor expansion of PI in b 14.224 * [backup-simplify]: Simplify PI into PI 14.224 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.224 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.224 * [taylor]: Taking taylor expansion of a in b 14.224 * [backup-simplify]: Simplify a into a 14.224 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.224 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.224 * [taylor]: Taking taylor expansion of b in b 14.224 * [backup-simplify]: Simplify 0 into 0 14.224 * [backup-simplify]: Simplify 1 into 1 14.224 * [backup-simplify]: Simplify (/ 1 1) into 1 14.224 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 14.225 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.225 * [backup-simplify]: Simplify (- 0) into 0 14.225 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 14.225 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 14.226 * [backup-simplify]: Simplify (+ 0 1) into 1 14.226 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 14.226 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 14.226 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 14.226 * [taylor]: Taking taylor expansion of 0.5 in a 14.226 * [backup-simplify]: Simplify 0.5 into 0.5 14.226 * [taylor]: Taking taylor expansion of (* a PI) in a 14.226 * [taylor]: Taking taylor expansion of a in a 14.226 * [backup-simplify]: Simplify 0 into 0 14.226 * [backup-simplify]: Simplify 1 into 1 14.226 * [taylor]: Taking taylor expansion of PI in a 14.226 * [backup-simplify]: Simplify PI into PI 14.228 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.228 * [backup-simplify]: Simplify (* 0 PI) into 0 14.230 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 14.230 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 14.231 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 14.232 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 14.233 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.234 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 14.235 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 14.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.236 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.238 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 a) 1)))) into (- (* 2.0 PI)) 14.240 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 1.0 PI)) 14.240 * [taylor]: Taking taylor expansion of (- (* 1.0 PI)) in a 14.240 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 14.240 * [taylor]: Taking taylor expansion of 1.0 in a 14.240 * [backup-simplify]: Simplify 1.0 into 1.0 14.240 * [taylor]: Taking taylor expansion of PI in a 14.240 * [backup-simplify]: Simplify PI into PI 14.241 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 14.241 * [backup-simplify]: Simplify (- 0) into 0 14.241 * [backup-simplify]: Simplify 0 into 0 14.242 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 14.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 14.243 * [backup-simplify]: Simplify 0 into 0 14.244 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 14.245 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 14.245 * [backup-simplify]: Simplify (- 0) into 0 14.246 * [backup-simplify]: Simplify (+ 0 0) into 0 14.247 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 14.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.248 * [backup-simplify]: Simplify (+ 0 0) into 0 14.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)) (* (- (* 2.0 PI)) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI a)) 14.251 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI a))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 1.0 (/ PI a)) 14.251 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 14.251 * [taylor]: Taking taylor expansion of 1.0 in a 14.251 * [backup-simplify]: Simplify 1.0 into 1.0 14.251 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.251 * [taylor]: Taking taylor expansion of PI in a 14.251 * [backup-simplify]: Simplify PI into PI 14.251 * [taylor]: Taking taylor expansion of a in a 14.251 * [backup-simplify]: Simplify 0 into 0 14.251 * [backup-simplify]: Simplify 1 into 1 14.252 * [backup-simplify]: Simplify (/ PI 1) into PI 14.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.255 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.255 * [backup-simplify]: Simplify 0 into 0 14.256 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.256 * [backup-simplify]: Simplify (- 0) into 0 14.256 * [backup-simplify]: Simplify 0 into 0 14.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.259 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.259 * [backup-simplify]: Simplify 0 into 0 14.260 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 14.261 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.262 * [backup-simplify]: Simplify (- 0) into 0 14.262 * [backup-simplify]: Simplify (+ 0 0) into 0 14.263 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (+ (* 0 0) (* 0 PI)))) into 0 14.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.265 * [backup-simplify]: Simplify (+ 0 0) into 0 14.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)) (* (- (* 2.0 PI)) (/ 0 1)) (* (* 2.0 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI (pow a 2)))) 14.268 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow a 2))))) (+ (* 0 (* 2.0 (/ PI a))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* a PI)))))) into (- (* 1.0 (/ PI (pow a 2)))) 14.269 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 14.269 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 14.269 * [taylor]: Taking taylor expansion of 1.0 in a 14.269 * [backup-simplify]: Simplify 1.0 into 1.0 14.269 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) 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 2) in a 14.269 * [taylor]: Taking taylor expansion of a in a 14.269 * [backup-simplify]: Simplify 0 into 0 14.269 * [backup-simplify]: Simplify 1 into 1 14.269 * [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 0) (* 0 1)))) into 0 14.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.277 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.277 * [backup-simplify]: Simplify (- 0) into 0 14.277 * [backup-simplify]: Simplify 0 into 0 14.278 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (* a b))) 14.279 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) 1.0) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b)))) 14.279 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 14.279 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b)))) in a 14.279 * [taylor]: Taking taylor expansion of -0.5 in a 14.279 * [backup-simplify]: Simplify -0.5 into -0.5 14.279 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b))) in a 14.279 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 14.279 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 14.279 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 14.279 * [taylor]: Taking taylor expansion of 1.0 in a 14.279 * [backup-simplify]: Simplify 1.0 into 1.0 14.279 * [taylor]: Taking taylor expansion of b in a 14.279 * [backup-simplify]: Simplify b into b 14.279 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 14.279 * [taylor]: Taking taylor expansion of 1.0 in a 14.279 * [backup-simplify]: Simplify 1.0 into 1.0 14.279 * [taylor]: Taking taylor expansion of a in a 14.279 * [backup-simplify]: Simplify 0 into 0 14.279 * [backup-simplify]: Simplify 1 into 1 14.279 * [taylor]: Taking taylor expansion of PI in a 14.279 * [backup-simplify]: Simplify PI into PI 14.279 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.279 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.280 * [taylor]: Taking taylor expansion of a in a 14.280 * [backup-simplify]: Simplify 0 into 0 14.280 * [backup-simplify]: Simplify 1 into 1 14.280 * [backup-simplify]: Simplify (/ 1 1) into 1 14.280 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.280 * [taylor]: Taking taylor expansion of b in a 14.280 * [backup-simplify]: Simplify b into b 14.280 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.280 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 14.281 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.281 * [backup-simplify]: Simplify (- 0) into 0 14.281 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 14.281 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 14.282 * [backup-simplify]: Simplify (+ 1 0) into 1 14.282 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 14.282 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b)))) in b 14.282 * [taylor]: Taking taylor expansion of -0.5 in b 14.282 * [backup-simplify]: Simplify -0.5 into -0.5 14.282 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 14.282 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 14.282 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 14.282 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.282 * [taylor]: Taking taylor expansion of 1.0 in b 14.282 * [backup-simplify]: Simplify 1.0 into 1.0 14.282 * [taylor]: Taking taylor expansion of b in b 14.282 * [backup-simplify]: Simplify 0 into 0 14.282 * [backup-simplify]: Simplify 1 into 1 14.282 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 14.282 * [taylor]: Taking taylor expansion of 1.0 in b 14.282 * [backup-simplify]: Simplify 1.0 into 1.0 14.282 * [taylor]: Taking taylor expansion of a in b 14.282 * [backup-simplify]: Simplify a into a 14.282 * [taylor]: Taking taylor expansion of PI in b 14.282 * [backup-simplify]: Simplify PI into PI 14.282 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.282 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.282 * [taylor]: Taking taylor expansion of a in b 14.283 * [backup-simplify]: Simplify a into a 14.283 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.283 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.283 * [taylor]: Taking taylor expansion of b in b 14.283 * [backup-simplify]: Simplify 0 into 0 14.283 * [backup-simplify]: Simplify 1 into 1 14.283 * [backup-simplify]: Simplify (/ 1 1) into 1 14.283 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.284 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 14.284 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 14.284 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 14.284 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 14.284 * [backup-simplify]: Simplify (+ 0 1) into 1 14.284 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 14.284 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b)))) in b 14.285 * [taylor]: Taking taylor expansion of -0.5 in b 14.285 * [backup-simplify]: Simplify -0.5 into -0.5 14.285 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 14.285 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 14.285 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 14.285 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.285 * [taylor]: Taking taylor expansion of 1.0 in b 14.285 * [backup-simplify]: Simplify 1.0 into 1.0 14.285 * [taylor]: Taking taylor expansion of b in b 14.285 * [backup-simplify]: Simplify 0 into 0 14.285 * [backup-simplify]: Simplify 1 into 1 14.285 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 14.285 * [taylor]: Taking taylor expansion of 1.0 in b 14.285 * [backup-simplify]: Simplify 1.0 into 1.0 14.285 * [taylor]: Taking taylor expansion of a in b 14.285 * [backup-simplify]: Simplify a into a 14.285 * [taylor]: Taking taylor expansion of PI in b 14.285 * [backup-simplify]: Simplify PI into PI 14.285 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.285 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.285 * [taylor]: Taking taylor expansion of a in b 14.285 * [backup-simplify]: Simplify a into a 14.285 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.285 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.285 * [taylor]: Taking taylor expansion of b in b 14.285 * [backup-simplify]: Simplify 0 into 0 14.285 * [backup-simplify]: Simplify 1 into 1 14.286 * [backup-simplify]: Simplify (/ 1 1) into 1 14.286 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.286 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 14.286 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 14.286 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 14.287 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 14.287 * [backup-simplify]: Simplify (+ 0 1) into 1 14.287 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 14.287 * [backup-simplify]: Simplify (* -0.5 (* -1.0 (* a PI))) into (* 0.5 (* a PI)) 14.287 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 14.287 * [taylor]: Taking taylor expansion of 0.5 in a 14.287 * [backup-simplify]: Simplify 0.5 into 0.5 14.287 * [taylor]: Taking taylor expansion of (* a PI) in a 14.287 * [taylor]: Taking taylor expansion of a in a 14.287 * [backup-simplify]: Simplify 0 into 0 14.288 * [backup-simplify]: Simplify 1 into 1 14.288 * [taylor]: Taking taylor expansion of PI in a 14.288 * [backup-simplify]: Simplify PI into PI 14.289 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.290 * [backup-simplify]: Simplify (* 0 PI) into 0 14.291 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 14.292 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 14.293 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 14.293 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 14.294 * [backup-simplify]: Simplify (- 0) into 0 14.294 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.294 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 14.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.295 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.295 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* a PI)) (/ (/ 1 a) 1)))) into (* 2.0 PI) 14.296 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 PI)) (* 0 (* -1.0 (* a PI)))) into (- (* 1.0 PI)) 14.296 * [taylor]: Taking taylor expansion of (- (* 1.0 PI)) in a 14.296 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 14.296 * [taylor]: Taking taylor expansion of 1.0 in a 14.296 * [backup-simplify]: Simplify 1.0 into 1.0 14.296 * [taylor]: Taking taylor expansion of PI in a 14.296 * [backup-simplify]: Simplify PI into PI 14.297 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 14.297 * [backup-simplify]: Simplify (- 0) into 0 14.297 * [backup-simplify]: Simplify 0 into 0 14.298 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 14.298 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 14.298 * [backup-simplify]: Simplify 0 into 0 14.299 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 14.299 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 14.299 * [backup-simplify]: Simplify (- 0) into 0 14.300 * [backup-simplify]: Simplify (+ 0 0) into 0 14.300 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 14.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.301 * [backup-simplify]: Simplify (+ 0 0) into 0 14.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)) (* (* 2.0 PI) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI a))) 14.310 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 (/ PI a)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* a PI))))) into (* 1.0 (/ PI a)) 14.310 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 14.310 * [taylor]: Taking taylor expansion of 1.0 in a 14.310 * [backup-simplify]: Simplify 1.0 into 1.0 14.310 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.310 * [taylor]: Taking taylor expansion of PI in a 14.310 * [backup-simplify]: Simplify PI into PI 14.310 * [taylor]: Taking taylor expansion of a in a 14.310 * [backup-simplify]: Simplify 0 into 0 14.310 * [backup-simplify]: Simplify 1 into 1 14.311 * [backup-simplify]: Simplify (/ PI 1) into PI 14.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.312 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.312 * [backup-simplify]: Simplify 0 into 0 14.313 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 14.313 * [backup-simplify]: Simplify (- 0) into 0 14.313 * [backup-simplify]: Simplify 0 into 0 14.314 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.315 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.315 * [backup-simplify]: Simplify 0 into 0 14.315 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.316 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 14.316 * [backup-simplify]: Simplify (- 0) into 0 14.316 * [backup-simplify]: Simplify (+ 0 0) into 0 14.317 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 14.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.318 * [backup-simplify]: Simplify (+ 0 0) into 0 14.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)) (* (* 2.0 PI) (/ 0 1)) (* (- (* 2.0 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI (pow a 2))) 14.320 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 (/ PI (pow a 2)))) (+ (* 0 (- (* 2.0 (/ PI a)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* a PI)))))) into (- (* 1.0 (/ PI (pow a 2)))) 14.320 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 14.320 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 14.320 * [taylor]: Taking taylor expansion of 1.0 in a 14.320 * [backup-simplify]: Simplify 1.0 into 1.0 14.320 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.320 * [taylor]: Taking taylor expansion of PI in a 14.320 * [backup-simplify]: Simplify PI into PI 14.320 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.320 * [taylor]: Taking taylor expansion of a in a 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 1) into PI 14.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.327 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.327 * [backup-simplify]: Simplify (- 0) into 0 14.327 * [backup-simplify]: Simplify 0 into 0 14.328 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 (- a)) (/ 1 (- b)))) into (* 0.5 (/ PI (* a b))) 14.328 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 14.329 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ b a)) into (* 0.5 (/ PI (+ a b))) 14.329 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (b a) around 0 14.329 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 14.329 * [taylor]: Taking taylor expansion of 0.5 in a 14.329 * [backup-simplify]: Simplify 0.5 into 0.5 14.329 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 14.329 * [taylor]: Taking taylor expansion of PI in a 14.329 * [backup-simplify]: Simplify PI into PI 14.329 * [taylor]: Taking taylor expansion of (+ a b) in a 14.329 * [taylor]: Taking taylor expansion of a in a 14.329 * [backup-simplify]: Simplify 0 into 0 14.329 * [backup-simplify]: Simplify 1 into 1 14.329 * [taylor]: Taking taylor expansion of b in a 14.329 * [backup-simplify]: Simplify b into b 14.329 * [backup-simplify]: Simplify (+ 0 b) into b 14.329 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 14.329 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 14.329 * [taylor]: Taking taylor expansion of 0.5 in b 14.329 * [backup-simplify]: Simplify 0.5 into 0.5 14.329 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 14.329 * [taylor]: Taking taylor expansion of PI in b 14.329 * [backup-simplify]: Simplify PI into PI 14.329 * [taylor]: Taking taylor expansion of (+ a b) in b 14.330 * [taylor]: Taking taylor expansion of a in b 14.330 * [backup-simplify]: Simplify a into a 14.330 * [taylor]: Taking taylor expansion of b in b 14.330 * [backup-simplify]: Simplify 0 into 0 14.330 * [backup-simplify]: Simplify 1 into 1 14.330 * [backup-simplify]: Simplify (+ a 0) into a 14.330 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 14.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 14.330 * [taylor]: Taking taylor expansion of 0.5 in b 14.330 * [backup-simplify]: Simplify 0.5 into 0.5 14.330 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 14.330 * [taylor]: Taking taylor expansion of PI in b 14.330 * [backup-simplify]: Simplify PI into PI 14.330 * [taylor]: Taking taylor expansion of (+ a b) in b 14.330 * [taylor]: Taking taylor expansion of a in b 14.330 * [backup-simplify]: Simplify a into a 14.330 * [taylor]: Taking taylor expansion of b in b 14.330 * [backup-simplify]: Simplify 0 into 0 14.330 * [backup-simplify]: Simplify 1 into 1 14.330 * [backup-simplify]: Simplify (+ a 0) into a 14.330 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 14.330 * [backup-simplify]: Simplify (* 0.5 (/ PI a)) into (* 0.5 (/ PI a)) 14.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 14.330 * [taylor]: Taking taylor expansion of 0.5 in a 14.330 * [backup-simplify]: Simplify 0.5 into 0.5 14.330 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.331 * [taylor]: Taking taylor expansion of PI in a 14.331 * [backup-simplify]: Simplify PI into PI 14.331 * [taylor]: Taking taylor expansion of a in a 14.331 * [backup-simplify]: Simplify 0 into 0 14.331 * [backup-simplify]: Simplify 1 into 1 14.331 * [backup-simplify]: Simplify (/ PI 1) into PI 14.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.333 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 14.333 * [backup-simplify]: Simplify 0 into 0 14.333 * [backup-simplify]: Simplify (+ 0 1) into 1 14.334 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 14.334 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 0.5 (/ PI (pow a 2)))) 14.334 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 14.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 14.334 * [taylor]: Taking taylor expansion of 0.5 in a 14.334 * [backup-simplify]: Simplify 0.5 into 0.5 14.334 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.334 * [taylor]: Taking taylor expansion of PI in a 14.334 * [backup-simplify]: Simplify PI into PI 14.334 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.334 * [taylor]: Taking taylor expansion of a in a 14.334 * [backup-simplify]: Simplify 0 into 0 14.334 * [backup-simplify]: Simplify 1 into 1 14.335 * [backup-simplify]: Simplify (* 1 1) into 1 14.335 * [backup-simplify]: Simplify (/ PI 1) into PI 14.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.338 * [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 (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.340 * [backup-simplify]: Simplify (- 0) into 0 14.340 * [backup-simplify]: Simplify 0 into 0 14.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.342 * [backup-simplify]: Simplify 0 into 0 14.343 * [backup-simplify]: Simplify (+ 0 0) into 0 14.343 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 14.344 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 0.5 (/ PI (pow a 3))) 14.344 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 14.344 * [taylor]: Taking taylor expansion of 0.5 in a 14.344 * [backup-simplify]: Simplify 0.5 into 0.5 14.344 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 14.344 * [taylor]: Taking taylor expansion of PI in a 14.344 * [backup-simplify]: Simplify PI into PI 14.344 * [taylor]: Taking taylor expansion of (pow a 3) in a 14.344 * [taylor]: Taking taylor expansion of a in a 14.344 * [backup-simplify]: Simplify 0 into 0 14.344 * [backup-simplify]: Simplify 1 into 1 14.344 * [backup-simplify]: Simplify (* 1 1) into 1 14.345 * [backup-simplify]: Simplify (* 1 1) into 1 14.345 * [backup-simplify]: Simplify (/ PI 1) into PI 14.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.355 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.355 * [backup-simplify]: Simplify 0 into 0 14.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.359 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.360 * [backup-simplify]: Simplify (- 0) into 0 14.360 * [backup-simplify]: Simplify 0 into 0 14.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.362 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.362 * [backup-simplify]: Simplify 0 into 0 14.362 * [backup-simplify]: Simplify 0 into 0 14.363 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 14.363 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 14.363 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 14.363 * [taylor]: Taking taylor expansion of 0.5 in a 14.363 * [backup-simplify]: Simplify 0.5 into 0.5 14.363 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 14.363 * [taylor]: Taking taylor expansion of PI in a 14.363 * [backup-simplify]: Simplify PI into PI 14.363 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.364 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.364 * [taylor]: Taking taylor expansion of a in a 14.364 * [backup-simplify]: Simplify 0 into 0 14.364 * [backup-simplify]: Simplify 1 into 1 14.364 * [backup-simplify]: Simplify (/ 1 1) into 1 14.364 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.364 * [taylor]: Taking taylor expansion of b in a 14.364 * [backup-simplify]: Simplify b into b 14.364 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.365 * [backup-simplify]: Simplify (+ 1 0) into 1 14.365 * [backup-simplify]: Simplify (/ PI 1) into PI 14.365 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 14.365 * [taylor]: Taking taylor expansion of 0.5 in b 14.365 * [backup-simplify]: Simplify 0.5 into 0.5 14.365 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 14.365 * [taylor]: Taking taylor expansion of PI in b 14.365 * [backup-simplify]: Simplify PI into PI 14.365 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.365 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.365 * [taylor]: Taking taylor expansion of a in b 14.365 * [backup-simplify]: Simplify a into a 14.365 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.365 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.365 * [taylor]: Taking taylor expansion of b in b 14.366 * [backup-simplify]: Simplify 0 into 0 14.366 * [backup-simplify]: Simplify 1 into 1 14.366 * [backup-simplify]: Simplify (/ 1 1) into 1 14.366 * [backup-simplify]: Simplify (+ 0 1) into 1 14.367 * [backup-simplify]: Simplify (/ PI 1) into PI 14.367 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 14.367 * [taylor]: Taking taylor expansion of 0.5 in b 14.367 * [backup-simplify]: Simplify 0.5 into 0.5 14.367 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 14.367 * [taylor]: Taking taylor expansion of PI in b 14.367 * [backup-simplify]: Simplify PI into PI 14.367 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.367 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.367 * [taylor]: Taking taylor expansion of a in b 14.367 * [backup-simplify]: Simplify a into a 14.367 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.367 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.367 * [taylor]: Taking taylor expansion of b in b 14.367 * [backup-simplify]: Simplify 0 into 0 14.367 * [backup-simplify]: Simplify 1 into 1 14.368 * [backup-simplify]: Simplify (/ 1 1) into 1 14.368 * [backup-simplify]: Simplify (+ 0 1) into 1 14.369 * [backup-simplify]: Simplify (/ PI 1) into PI 14.369 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 14.369 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 14.369 * [taylor]: Taking taylor expansion of 0.5 in a 14.369 * [backup-simplify]: Simplify 0.5 into 0.5 14.369 * [taylor]: Taking taylor expansion of PI in a 14.369 * [backup-simplify]: Simplify PI into PI 14.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 14.370 * [backup-simplify]: Simplify 0 into 0 14.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.371 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 14.372 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI a))) (* 0 PI)) into (- (* 0.5 (/ PI a))) 14.372 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 14.372 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 14.372 * [taylor]: Taking taylor expansion of 0.5 in a 14.372 * [backup-simplify]: Simplify 0.5 into 0.5 14.372 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.372 * [taylor]: Taking taylor expansion of PI in a 14.372 * [backup-simplify]: Simplify PI into PI 14.372 * [taylor]: Taking taylor expansion of a in a 14.372 * [backup-simplify]: Simplify 0 into 0 14.372 * [backup-simplify]: Simplify 1 into 1 14.373 * [backup-simplify]: Simplify (/ PI 1) into PI 14.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.375 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.376 * [backup-simplify]: Simplify (- 0) into 0 14.376 * [backup-simplify]: Simplify 0 into 0 14.377 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.377 * [backup-simplify]: Simplify 0 into 0 14.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.378 * [backup-simplify]: Simplify (+ 0 0) into 0 14.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 14.380 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 14.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 14.380 * [taylor]: Taking taylor expansion of 0.5 in a 14.380 * [backup-simplify]: Simplify 0.5 into 0.5 14.380 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.380 * [taylor]: Taking taylor expansion of PI in a 14.380 * [backup-simplify]: Simplify PI into PI 14.380 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.381 * [taylor]: Taking taylor expansion of a in a 14.381 * [backup-simplify]: Simplify 0 into 0 14.381 * [backup-simplify]: Simplify 1 into 1 14.381 * [backup-simplify]: Simplify (* 1 1) into 1 14.381 * [backup-simplify]: Simplify (/ PI 1) into PI 14.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.388 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.388 * [backup-simplify]: Simplify 0 into 0 14.389 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.391 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.391 * [backup-simplify]: Simplify (- 0) into 0 14.391 * [backup-simplify]: Simplify 0 into 0 14.392 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.392 * [backup-simplify]: Simplify 0 into 0 14.392 * [backup-simplify]: Simplify 0 into 0 14.393 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 14.393 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 14.393 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 14.393 * [taylor]: Taking taylor expansion of -0.5 in a 14.393 * [backup-simplify]: Simplify -0.5 into -0.5 14.393 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 14.393 * [taylor]: Taking taylor expansion of PI in a 14.393 * [backup-simplify]: Simplify PI into PI 14.393 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.393 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.393 * [taylor]: Taking taylor expansion of a in a 14.393 * [backup-simplify]: Simplify 0 into 0 14.393 * [backup-simplify]: Simplify 1 into 1 14.394 * [backup-simplify]: Simplify (/ 1 1) into 1 14.394 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.394 * [taylor]: Taking taylor expansion of b in a 14.394 * [backup-simplify]: Simplify b into b 14.394 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.394 * [backup-simplify]: Simplify (+ 1 0) into 1 14.395 * [backup-simplify]: Simplify (/ PI 1) into PI 14.395 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 14.395 * [taylor]: Taking taylor expansion of -0.5 in b 14.395 * [backup-simplify]: Simplify -0.5 into -0.5 14.395 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 14.395 * [taylor]: Taking taylor expansion of PI in b 14.395 * [backup-simplify]: Simplify PI into PI 14.395 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.395 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.395 * [taylor]: Taking taylor expansion of a in b 14.395 * [backup-simplify]: Simplify a into a 14.395 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.395 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.395 * [taylor]: Taking taylor expansion of b in b 14.395 * [backup-simplify]: Simplify 0 into 0 14.395 * [backup-simplify]: Simplify 1 into 1 14.396 * [backup-simplify]: Simplify (/ 1 1) into 1 14.396 * [backup-simplify]: Simplify (+ 0 1) into 1 14.397 * [backup-simplify]: Simplify (/ PI 1) into PI 14.397 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 14.397 * [taylor]: Taking taylor expansion of -0.5 in b 14.397 * [backup-simplify]: Simplify -0.5 into -0.5 14.397 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 14.397 * [taylor]: Taking taylor expansion of PI in b 14.397 * [backup-simplify]: Simplify PI into PI 14.397 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.397 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.397 * [taylor]: Taking taylor expansion of a in b 14.397 * [backup-simplify]: Simplify a into a 14.397 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.397 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.397 * [taylor]: Taking taylor expansion of b in b 14.397 * [backup-simplify]: Simplify 0 into 0 14.397 * [backup-simplify]: Simplify 1 into 1 14.398 * [backup-simplify]: Simplify (/ 1 1) into 1 14.398 * [backup-simplify]: Simplify (+ 0 1) into 1 14.399 * [backup-simplify]: Simplify (/ PI 1) into PI 14.399 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 14.399 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 14.399 * [taylor]: Taking taylor expansion of -0.5 in a 14.399 * [backup-simplify]: Simplify -0.5 into -0.5 14.399 * [taylor]: Taking taylor expansion of PI in a 14.399 * [backup-simplify]: Simplify PI into PI 14.400 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 14.400 * [backup-simplify]: Simplify 0 into 0 14.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.401 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 14.402 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI a))) (* 0 PI)) into (* 0.5 (/ PI a)) 14.402 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 14.402 * [taylor]: Taking taylor expansion of 0.5 in a 14.402 * [backup-simplify]: Simplify 0.5 into 0.5 14.402 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.402 * [taylor]: Taking taylor expansion of PI in a 14.402 * [backup-simplify]: Simplify PI into PI 14.402 * [taylor]: Taking taylor expansion of a in a 14.402 * [backup-simplify]: Simplify 0 into 0 14.402 * [backup-simplify]: Simplify 1 into 1 14.402 * [backup-simplify]: Simplify (/ PI 1) into PI 14.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.404 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.404 * [backup-simplify]: Simplify 0 into 0 14.404 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.404 * [backup-simplify]: Simplify 0 into 0 14.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.405 * [backup-simplify]: Simplify (+ 0 0) into 0 14.406 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 14.406 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (* 0.5 (/ PI (pow a 2)))) 14.406 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 14.406 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 14.407 * [taylor]: Taking taylor expansion of 0.5 in a 14.407 * [backup-simplify]: Simplify 0.5 into 0.5 14.407 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.407 * [taylor]: Taking taylor expansion of PI in a 14.407 * [backup-simplify]: Simplify PI into PI 14.407 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.407 * [taylor]: Taking taylor expansion of a in a 14.407 * [backup-simplify]: Simplify 0 into 0 14.407 * [backup-simplify]: Simplify 1 into 1 14.407 * [backup-simplify]: Simplify (* 1 1) into 1 14.407 * [backup-simplify]: Simplify (/ PI 1) into PI 14.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.410 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.411 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.411 * [backup-simplify]: Simplify (- 0) into 0 14.411 * [backup-simplify]: Simplify 0 into 0 14.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.413 * [backup-simplify]: Simplify 0 into 0 14.414 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.414 * [backup-simplify]: Simplify 0 into 0 14.414 * [backup-simplify]: Simplify 0 into 0 14.414 * * * * [progress]: [ 3 / 4 ] generating series at (2) 14.414 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (- b a)) into (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) 14.414 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in (b a) around 0 14.414 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in a 14.414 * [taylor]: Taking taylor expansion of 0.5 in a 14.414 * [backup-simplify]: Simplify 0.5 into 0.5 14.414 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b))) in a 14.414 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in a 14.414 * [taylor]: Taking taylor expansion of PI in a 14.414 * [backup-simplify]: Simplify PI into PI 14.414 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 14.414 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 14.414 * [taylor]: Taking taylor expansion of 1.0 in a 14.414 * [backup-simplify]: Simplify 1.0 into 1.0 14.414 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.415 * [taylor]: Taking taylor expansion of a in a 14.415 * [backup-simplify]: Simplify 0 into 0 14.415 * [backup-simplify]: Simplify 1 into 1 14.415 * [backup-simplify]: Simplify (/ 1 1) into 1 14.415 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 14.415 * [taylor]: Taking taylor expansion of 1.0 in a 14.415 * [backup-simplify]: Simplify 1.0 into 1.0 14.415 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.415 * [taylor]: Taking taylor expansion of b in a 14.415 * [backup-simplify]: Simplify b into b 14.415 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.415 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 14.415 * [taylor]: Taking taylor expansion of (- b a) in a 14.415 * [taylor]: Taking taylor expansion of b in a 14.415 * [backup-simplify]: Simplify b into b 14.415 * [taylor]: Taking taylor expansion of a in a 14.415 * [backup-simplify]: Simplify 0 into 0 14.415 * [backup-simplify]: Simplify 1 into 1 14.415 * [taylor]: Taking taylor expansion of (+ a b) in a 14.415 * [taylor]: Taking taylor expansion of a in a 14.415 * [backup-simplify]: Simplify 0 into 0 14.415 * [backup-simplify]: Simplify 1 into 1 14.415 * [taylor]: Taking taylor expansion of b in a 14.415 * [backup-simplify]: Simplify b into b 14.415 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.416 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.416 * [backup-simplify]: Simplify (* PI 1.0) into (* 1.0 PI) 14.416 * [backup-simplify]: Simplify (- 0) into 0 14.416 * [backup-simplify]: Simplify (+ b 0) into b 14.416 * [backup-simplify]: Simplify (+ 0 b) into b 14.416 * [backup-simplify]: Simplify (* b b) into (pow b 2) 14.417 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 14.417 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in b 14.417 * [taylor]: Taking taylor expansion of 0.5 in b 14.417 * [backup-simplify]: Simplify 0.5 into 0.5 14.417 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b))) in b 14.417 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in b 14.417 * [taylor]: Taking taylor expansion of PI in b 14.417 * [backup-simplify]: Simplify PI into PI 14.417 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 14.417 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 14.417 * [taylor]: Taking taylor expansion of 1.0 in b 14.417 * [backup-simplify]: Simplify 1.0 into 1.0 14.417 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.417 * [taylor]: Taking taylor expansion of a in b 14.417 * [backup-simplify]: Simplify a into a 14.417 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.417 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 14.417 * [taylor]: Taking taylor expansion of 1.0 in b 14.417 * [backup-simplify]: Simplify 1.0 into 1.0 14.417 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.417 * [taylor]: Taking taylor expansion of b in b 14.417 * [backup-simplify]: Simplify 0 into 0 14.417 * [backup-simplify]: Simplify 1 into 1 14.418 * [backup-simplify]: Simplify (/ 1 1) into 1 14.418 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 14.418 * [taylor]: Taking taylor expansion of (- b a) in b 14.418 * [taylor]: Taking taylor expansion of b in b 14.418 * [backup-simplify]: Simplify 0 into 0 14.418 * [backup-simplify]: Simplify 1 into 1 14.418 * [taylor]: Taking taylor expansion of a in b 14.418 * [backup-simplify]: Simplify a into a 14.418 * [taylor]: Taking taylor expansion of (+ a b) in b 14.418 * [taylor]: Taking taylor expansion of a in b 14.418 * [backup-simplify]: Simplify a into a 14.418 * [taylor]: Taking taylor expansion of b in b 14.418 * [backup-simplify]: Simplify 0 into 0 14.418 * [backup-simplify]: Simplify 1 into 1 14.418 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.418 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.419 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 14.419 * [backup-simplify]: Simplify (* PI (- 1.0)) into (* -1.0 PI) 14.419 * [backup-simplify]: Simplify (- a) into (- a) 14.419 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 14.419 * [backup-simplify]: Simplify (+ a 0) into a 14.420 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 14.420 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 14.420 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in b 14.420 * [taylor]: Taking taylor expansion of 0.5 in b 14.420 * [backup-simplify]: Simplify 0.5 into 0.5 14.420 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b))) in b 14.420 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in b 14.420 * [taylor]: Taking taylor expansion of PI in b 14.420 * [backup-simplify]: Simplify PI into PI 14.420 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 14.420 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 14.420 * [taylor]: Taking taylor expansion of 1.0 in b 14.420 * [backup-simplify]: Simplify 1.0 into 1.0 14.420 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.420 * [taylor]: Taking taylor expansion of a in b 14.420 * [backup-simplify]: Simplify a into a 14.420 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.420 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 14.420 * [taylor]: Taking taylor expansion of 1.0 in b 14.420 * [backup-simplify]: Simplify 1.0 into 1.0 14.420 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.420 * [taylor]: Taking taylor expansion of b in b 14.420 * [backup-simplify]: Simplify 0 into 0 14.420 * [backup-simplify]: Simplify 1 into 1 14.421 * [backup-simplify]: Simplify (/ 1 1) into 1 14.421 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 14.421 * [taylor]: Taking taylor expansion of (- b a) in b 14.421 * [taylor]: Taking taylor expansion of b in b 14.421 * [backup-simplify]: Simplify 0 into 0 14.421 * [backup-simplify]: Simplify 1 into 1 14.421 * [taylor]: Taking taylor expansion of a in b 14.421 * [backup-simplify]: Simplify a into a 14.421 * [taylor]: Taking taylor expansion of (+ a b) in b 14.421 * [taylor]: Taking taylor expansion of a in b 14.421 * [backup-simplify]: Simplify a into a 14.421 * [taylor]: Taking taylor expansion of b in b 14.421 * [backup-simplify]: Simplify 0 into 0 14.421 * [backup-simplify]: Simplify 1 into 1 14.421 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.422 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.423 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 14.424 * [backup-simplify]: Simplify (* PI (- 1.0)) into (* -1.0 PI) 14.424 * [backup-simplify]: Simplify (- a) into (- a) 14.424 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 14.424 * [backup-simplify]: Simplify (+ a 0) into a 14.424 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 14.425 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 14.425 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 14.425 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 14.425 * [taylor]: Taking taylor expansion of 0.5 in a 14.425 * [backup-simplify]: Simplify 0.5 into 0.5 14.425 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 14.425 * [taylor]: Taking taylor expansion of PI in a 14.425 * [backup-simplify]: Simplify PI into PI 14.425 * [taylor]: Taking taylor expansion of (pow a 2) in a 14.425 * [taylor]: Taking taylor expansion of a in a 14.425 * [backup-simplify]: Simplify 0 into 0 14.425 * [backup-simplify]: Simplify 1 into 1 14.426 * [backup-simplify]: Simplify (* 1 1) into 1 14.426 * [backup-simplify]: Simplify (/ PI 1) into PI 14.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 14.429 * [backup-simplify]: Simplify 0 into 0 14.429 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 14.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.430 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 14.431 * [backup-simplify]: Simplify (- 0) into 0 14.431 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 14.431 * [backup-simplify]: Simplify (+ (* PI (* 1.0 (/ 1 a))) (* 0 (- 1.0))) into (* 1.0 (/ PI a)) 14.432 * [backup-simplify]: Simplify (+ 0 1) into 1 14.432 * [backup-simplify]: Simplify (- 0) into 0 14.433 * [backup-simplify]: Simplify (+ 1 0) into 1 14.433 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 a)) into 0 14.433 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) (* -1 (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) into (- (* 1.0 (/ PI (pow a 3)))) 14.434 * [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)))) 14.434 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 14.434 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 14.434 * [taylor]: Taking taylor expansion of 0.5 in a 14.434 * [backup-simplify]: Simplify 0.5 into 0.5 14.434 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 14.434 * [taylor]: Taking taylor expansion of PI in a 14.434 * [backup-simplify]: Simplify PI into PI 14.434 * [taylor]: Taking taylor expansion of (pow a 3) in a 14.434 * [taylor]: Taking taylor expansion of a in a 14.434 * [backup-simplify]: Simplify 0 into 0 14.434 * [backup-simplify]: Simplify 1 into 1 14.435 * [backup-simplify]: Simplify (* 1 1) into 1 14.435 * [backup-simplify]: Simplify (* 1 1) into 1 14.436 * [backup-simplify]: Simplify (/ PI 1) into PI 14.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.450 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.450 * [backup-simplify]: Simplify (- 0) into 0 14.450 * [backup-simplify]: Simplify 0 into 0 14.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.452 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.453 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.453 * [backup-simplify]: Simplify 0 into 0 14.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.454 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 14.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.456 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 14.456 * [backup-simplify]: Simplify (- 0) into 0 14.456 * [backup-simplify]: Simplify (+ 0 0) into 0 14.458 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (* 1.0 (/ 1 a))) (* 0 (- 1.0)))) into 0 14.458 * [backup-simplify]: Simplify (+ 0 0) into 0 14.458 * [backup-simplify]: Simplify (- 0) into 0 14.459 * [backup-simplify]: Simplify (+ 0 0) into 0 14.459 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 a))) into 1 14.460 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* (- (* 1.0 (/ PI (pow a 3)))) (/ 0 (* -1 (pow a 2)))))) into (* 1.0 (/ PI (pow a 4))) 14.461 * [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))) 14.461 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 14.461 * [taylor]: Taking taylor expansion of 0.5 in a 14.461 * [backup-simplify]: Simplify 0.5 into 0.5 14.461 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 14.461 * [taylor]: Taking taylor expansion of PI in a 14.461 * [backup-simplify]: Simplify PI into PI 14.461 * [taylor]: Taking taylor expansion of (pow a 4) in a 14.462 * [taylor]: Taking taylor expansion of a in a 14.462 * [backup-simplify]: Simplify 0 into 0 14.462 * [backup-simplify]: Simplify 1 into 1 14.462 * [backup-simplify]: Simplify (* 1 1) into 1 14.462 * [backup-simplify]: Simplify (* 1 1) into 1 14.463 * [backup-simplify]: Simplify (/ PI 1) into PI 14.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 14.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 14.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.472 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.472 * [backup-simplify]: Simplify 0 into 0 14.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.477 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.477 * [backup-simplify]: Simplify (- 0) into 0 14.477 * [backup-simplify]: Simplify 0 into 0 14.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.480 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.481 * [backup-simplify]: Simplify 0 into 0 14.481 * [backup-simplify]: Simplify 0 into 0 14.482 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) 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 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) 14.482 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in (b a) around 0 14.482 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 14.482 * [taylor]: Taking taylor expansion of 0.5 in a 14.482 * [backup-simplify]: Simplify 0.5 into 0.5 14.482 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 14.482 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 14.482 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 14.482 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 14.482 * [taylor]: Taking taylor expansion of 1.0 in a 14.482 * [backup-simplify]: Simplify 1.0 into 1.0 14.482 * [taylor]: Taking taylor expansion of a in a 14.482 * [backup-simplify]: Simplify 0 into 0 14.482 * [backup-simplify]: Simplify 1 into 1 14.482 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 14.482 * [taylor]: Taking taylor expansion of 1.0 in a 14.482 * [backup-simplify]: Simplify 1.0 into 1.0 14.482 * [taylor]: Taking taylor expansion of b in a 14.482 * [backup-simplify]: Simplify b into b 14.482 * [taylor]: Taking taylor expansion of PI in a 14.482 * [backup-simplify]: Simplify PI into PI 14.482 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 14.482 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 14.482 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.482 * [taylor]: Taking taylor expansion of b in a 14.483 * [backup-simplify]: Simplify b into b 14.483 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.483 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.483 * [taylor]: Taking taylor expansion of a in a 14.483 * [backup-simplify]: Simplify 0 into 0 14.483 * [backup-simplify]: Simplify 1 into 1 14.483 * [backup-simplify]: Simplify (/ 1 1) into 1 14.483 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.483 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.483 * [taylor]: Taking taylor expansion of a in a 14.483 * [backup-simplify]: Simplify 0 into 0 14.483 * [backup-simplify]: Simplify 1 into 1 14.484 * [backup-simplify]: Simplify (/ 1 1) into 1 14.484 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.484 * [taylor]: Taking taylor expansion of b in a 14.484 * [backup-simplify]: Simplify b into b 14.484 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.484 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.484 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 14.484 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 14.484 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 14.485 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 14.485 * [backup-simplify]: Simplify (- 1) into -1 14.485 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.486 * [backup-simplify]: Simplify (+ 1 0) into 1 14.486 * [backup-simplify]: Simplify (* -1 1) into -1 14.486 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 14.486 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 14.486 * [taylor]: Taking taylor expansion of 0.5 in b 14.486 * [backup-simplify]: Simplify 0.5 into 0.5 14.486 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 14.487 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 14.487 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 14.487 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 14.487 * [taylor]: Taking taylor expansion of 1.0 in b 14.487 * [backup-simplify]: Simplify 1.0 into 1.0 14.487 * [taylor]: Taking taylor expansion of a in b 14.487 * [backup-simplify]: Simplify a into a 14.487 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.487 * [taylor]: Taking taylor expansion of 1.0 in b 14.487 * [backup-simplify]: Simplify 1.0 into 1.0 14.487 * [taylor]: Taking taylor expansion of b in b 14.487 * [backup-simplify]: Simplify 0 into 0 14.487 * [backup-simplify]: Simplify 1 into 1 14.487 * [taylor]: Taking taylor expansion of PI in b 14.487 * [backup-simplify]: Simplify PI into PI 14.487 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 14.487 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 14.487 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.487 * [taylor]: Taking taylor expansion of b in b 14.487 * [backup-simplify]: Simplify 0 into 0 14.487 * [backup-simplify]: Simplify 1 into 1 14.487 * [backup-simplify]: Simplify (/ 1 1) into 1 14.488 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.488 * [taylor]: Taking taylor expansion of a in b 14.488 * [backup-simplify]: Simplify a into a 14.488 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.488 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.488 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.488 * [taylor]: Taking taylor expansion of a in b 14.488 * [backup-simplify]: Simplify a into a 14.488 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.488 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.488 * [taylor]: Taking taylor expansion of b in b 14.488 * [backup-simplify]: Simplify 0 into 0 14.488 * [backup-simplify]: Simplify 1 into 1 14.488 * [backup-simplify]: Simplify (/ 1 1) into 1 14.488 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 14.489 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.489 * [backup-simplify]: Simplify (- 0) into 0 14.489 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 14.489 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 14.490 * [backup-simplify]: Simplify (+ 1 0) into 1 14.490 * [backup-simplify]: Simplify (+ 0 1) into 1 14.491 * [backup-simplify]: Simplify (* 1 1) into 1 14.491 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 14.491 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 14.491 * [taylor]: Taking taylor expansion of 0.5 in b 14.491 * [backup-simplify]: Simplify 0.5 into 0.5 14.491 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 14.491 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 14.491 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 14.491 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 14.491 * [taylor]: Taking taylor expansion of 1.0 in b 14.491 * [backup-simplify]: Simplify 1.0 into 1.0 14.491 * [taylor]: Taking taylor expansion of a in b 14.491 * [backup-simplify]: Simplify a into a 14.491 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.491 * [taylor]: Taking taylor expansion of 1.0 in b 14.491 * [backup-simplify]: Simplify 1.0 into 1.0 14.491 * [taylor]: Taking taylor expansion of b in b 14.491 * [backup-simplify]: Simplify 0 into 0 14.491 * [backup-simplify]: Simplify 1 into 1 14.491 * [taylor]: Taking taylor expansion of PI in b 14.491 * [backup-simplify]: Simplify PI into PI 14.491 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 14.491 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 14.491 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.491 * [taylor]: Taking taylor expansion of b in b 14.491 * [backup-simplify]: Simplify 0 into 0 14.492 * [backup-simplify]: Simplify 1 into 1 14.492 * [backup-simplify]: Simplify (/ 1 1) into 1 14.492 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.492 * [taylor]: Taking taylor expansion of a in b 14.492 * [backup-simplify]: Simplify a into a 14.492 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.492 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.492 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.492 * [taylor]: Taking taylor expansion of a in b 14.492 * [backup-simplify]: Simplify a into a 14.492 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.492 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.492 * [taylor]: Taking taylor expansion of b in b 14.492 * [backup-simplify]: Simplify 0 into 0 14.492 * [backup-simplify]: Simplify 1 into 1 14.493 * [backup-simplify]: Simplify (/ 1 1) into 1 14.493 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 14.493 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.494 * [backup-simplify]: Simplify (- 0) into 0 14.494 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 14.494 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 14.494 * [backup-simplify]: Simplify (+ 1 0) into 1 14.495 * [backup-simplify]: Simplify (+ 0 1) into 1 14.495 * [backup-simplify]: Simplify (* 1 1) into 1 14.495 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 14.495 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 14.496 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 14.496 * [taylor]: Taking taylor expansion of 0.5 in a 14.496 * [backup-simplify]: Simplify 0.5 into 0.5 14.496 * [taylor]: Taking taylor expansion of (* a PI) in a 14.496 * [taylor]: Taking taylor expansion of a in a 14.496 * [backup-simplify]: Simplify 0 into 0 14.496 * [backup-simplify]: Simplify 1 into 1 14.496 * [taylor]: Taking taylor expansion of PI in a 14.496 * [backup-simplify]: Simplify PI into PI 14.497 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 14.499 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.499 * [backup-simplify]: Simplify (* 0 PI) into 0 14.500 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 14.500 * [backup-simplify]: Simplify 0 into 0 14.501 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 14.502 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 14.503 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.504 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 14.505 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 14.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.506 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.506 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 14.507 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 14.507 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 14.509 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 14.511 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 14.511 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 14.511 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 14.511 * [taylor]: Taking taylor expansion of 0.5 in a 14.511 * [backup-simplify]: Simplify 0.5 into 0.5 14.511 * [taylor]: Taking taylor expansion of PI in a 14.511 * [backup-simplify]: Simplify PI into PI 14.512 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.512 * [backup-simplify]: Simplify (- 0) into 0 14.513 * [backup-simplify]: Simplify 0 into 0 14.514 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.515 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.515 * [backup-simplify]: Simplify 0 into 0 14.516 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 14.517 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 14.517 * [backup-simplify]: Simplify (- 0) into 0 14.518 * [backup-simplify]: Simplify (+ 0 0) into 0 14.519 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 14.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.520 * [backup-simplify]: Simplify (+ 0 0) into 0 14.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.524 * [backup-simplify]: Simplify (- 0) into 0 14.524 * [backup-simplify]: Simplify (+ 0 0) into 0 14.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 14.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 14.528 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 14.528 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 14.528 * [taylor]: Taking taylor expansion of 0.5 in a 14.529 * [backup-simplify]: Simplify 0.5 into 0.5 14.529 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.529 * [taylor]: Taking taylor expansion of PI in a 14.529 * [backup-simplify]: Simplify PI into PI 14.529 * [taylor]: Taking taylor expansion of a in a 14.529 * [backup-simplify]: Simplify 0 into 0 14.529 * [backup-simplify]: Simplify 1 into 1 14.529 * [backup-simplify]: Simplify (/ PI 1) into PI 14.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.532 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.533 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.533 * [backup-simplify]: Simplify 0 into 0 14.534 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.535 * [backup-simplify]: Simplify (- 0) into 0 14.535 * [backup-simplify]: Simplify 0 into 0 14.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 14.537 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 14.537 * [backup-simplify]: Simplify 0 into 0 14.538 * [backup-simplify]: Simplify 0 into 0 14.539 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) 1.0) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 14.539 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (b a) around 0 14.539 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 14.539 * [taylor]: Taking taylor expansion of -0.5 in a 14.539 * [backup-simplify]: Simplify -0.5 into -0.5 14.539 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 14.539 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 14.539 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 14.539 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 14.539 * [taylor]: Taking taylor expansion of 1.0 in a 14.539 * [backup-simplify]: Simplify 1.0 into 1.0 14.539 * [taylor]: Taking taylor expansion of b in a 14.539 * [backup-simplify]: Simplify b into b 14.539 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 14.539 * [taylor]: Taking taylor expansion of 1.0 in a 14.539 * [backup-simplify]: Simplify 1.0 into 1.0 14.539 * [taylor]: Taking taylor expansion of a in a 14.539 * [backup-simplify]: Simplify 0 into 0 14.539 * [backup-simplify]: Simplify 1 into 1 14.539 * [taylor]: Taking taylor expansion of PI in a 14.539 * [backup-simplify]: Simplify PI into PI 14.539 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 14.539 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 14.539 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.539 * [taylor]: Taking taylor expansion of a in a 14.539 * [backup-simplify]: Simplify 0 into 0 14.539 * [backup-simplify]: Simplify 1 into 1 14.540 * [backup-simplify]: Simplify (/ 1 1) into 1 14.540 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.540 * [taylor]: Taking taylor expansion of b in a 14.540 * [backup-simplify]: Simplify b into b 14.540 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.540 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 14.540 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.540 * [taylor]: Taking taylor expansion of a in a 14.540 * [backup-simplify]: Simplify 0 into 0 14.540 * [backup-simplify]: Simplify 1 into 1 14.540 * [backup-simplify]: Simplify (/ 1 1) into 1 14.541 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.541 * [taylor]: Taking taylor expansion of b in a 14.541 * [backup-simplify]: Simplify b into b 14.541 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.541 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 14.541 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.542 * [backup-simplify]: Simplify (- 0) into 0 14.542 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 14.542 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 14.542 * [backup-simplify]: Simplify (+ 1 0) into 1 14.543 * [backup-simplify]: Simplify (+ 1 0) into 1 14.543 * [backup-simplify]: Simplify (* 1 1) into 1 14.543 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 14.543 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 14.543 * [taylor]: Taking taylor expansion of -0.5 in b 14.543 * [backup-simplify]: Simplify -0.5 into -0.5 14.543 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 14.543 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 14.543 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 14.543 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.543 * [taylor]: Taking taylor expansion of 1.0 in b 14.543 * [backup-simplify]: Simplify 1.0 into 1.0 14.543 * [taylor]: Taking taylor expansion of b in b 14.544 * [backup-simplify]: Simplify 0 into 0 14.544 * [backup-simplify]: Simplify 1 into 1 14.544 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 14.544 * [taylor]: Taking taylor expansion of 1.0 in b 14.544 * [backup-simplify]: Simplify 1.0 into 1.0 14.544 * [taylor]: Taking taylor expansion of a in b 14.544 * [backup-simplify]: Simplify a into a 14.544 * [taylor]: Taking taylor expansion of PI in b 14.544 * [backup-simplify]: Simplify PI into PI 14.544 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 14.544 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.544 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.544 * [taylor]: Taking taylor expansion of a in b 14.544 * [backup-simplify]: Simplify a into a 14.544 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.544 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.544 * [taylor]: Taking taylor expansion of b in b 14.544 * [backup-simplify]: Simplify 0 into 0 14.544 * [backup-simplify]: Simplify 1 into 1 14.544 * [backup-simplify]: Simplify (/ 1 1) into 1 14.544 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 14.545 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.545 * [taylor]: Taking taylor expansion of a in b 14.545 * [backup-simplify]: Simplify a into a 14.545 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.545 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.545 * [taylor]: Taking taylor expansion of b in b 14.545 * [backup-simplify]: Simplify 0 into 0 14.545 * [backup-simplify]: Simplify 1 into 1 14.545 * [backup-simplify]: Simplify (/ 1 1) into 1 14.546 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.546 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 14.546 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 14.546 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 14.546 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 14.546 * [backup-simplify]: Simplify (+ 0 1) into 1 14.547 * [backup-simplify]: Simplify (- 1) into -1 14.547 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.548 * [backup-simplify]: Simplify (* 1 -1) into -1 14.548 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 14.548 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 14.548 * [taylor]: Taking taylor expansion of -0.5 in b 14.548 * [backup-simplify]: Simplify -0.5 into -0.5 14.548 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 14.548 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 14.548 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 14.548 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.548 * [taylor]: Taking taylor expansion of 1.0 in b 14.548 * [backup-simplify]: Simplify 1.0 into 1.0 14.548 * [taylor]: Taking taylor expansion of b in b 14.548 * [backup-simplify]: Simplify 0 into 0 14.548 * [backup-simplify]: Simplify 1 into 1 14.548 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 14.548 * [taylor]: Taking taylor expansion of 1.0 in b 14.548 * [backup-simplify]: Simplify 1.0 into 1.0 14.548 * [taylor]: Taking taylor expansion of a in b 14.548 * [backup-simplify]: Simplify a into a 14.548 * [taylor]: Taking taylor expansion of PI in b 14.548 * [backup-simplify]: Simplify PI into PI 14.548 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 14.548 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 14.548 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.548 * [taylor]: Taking taylor expansion of a in b 14.548 * [backup-simplify]: Simplify a into a 14.549 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.549 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.549 * [taylor]: Taking taylor expansion of b in b 14.549 * [backup-simplify]: Simplify 0 into 0 14.549 * [backup-simplify]: Simplify 1 into 1 14.549 * [backup-simplify]: Simplify (/ 1 1) into 1 14.549 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 14.549 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.549 * [taylor]: Taking taylor expansion of a in b 14.549 * [backup-simplify]: Simplify a into a 14.549 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.549 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.549 * [taylor]: Taking taylor expansion of b in b 14.549 * [backup-simplify]: Simplify 0 into 0 14.549 * [backup-simplify]: Simplify 1 into 1 14.550 * [backup-simplify]: Simplify (/ 1 1) into 1 14.550 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.550 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 14.550 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 14.550 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 14.551 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 14.551 * [backup-simplify]: Simplify (+ 0 1) into 1 14.551 * [backup-simplify]: Simplify (- 1) into -1 14.552 * [backup-simplify]: Simplify (+ 0 -1) into -1 14.552 * [backup-simplify]: Simplify (* 1 -1) into -1 14.552 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 14.552 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* a PI))) into (* -0.5 (* a PI)) 14.553 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 14.553 * [taylor]: Taking taylor expansion of -0.5 in a 14.553 * [backup-simplify]: Simplify -0.5 into -0.5 14.553 * [taylor]: Taking taylor expansion of (* a PI) in a 14.553 * [taylor]: Taking taylor expansion of a in a 14.553 * [backup-simplify]: Simplify 0 into 0 14.553 * [backup-simplify]: Simplify 1 into 1 14.553 * [taylor]: Taking taylor expansion of PI in a 14.553 * [backup-simplify]: Simplify PI into PI 14.554 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 14.555 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 14.556 * [backup-simplify]: Simplify (* 0 PI) into 0 14.557 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 14.557 * [backup-simplify]: Simplify 0 into 0 14.558 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 14.559 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 14.559 * [backup-simplify]: Simplify (- 0) into 0 14.560 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.560 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 14.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.561 * [backup-simplify]: Simplify (- 0) into 0 14.562 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.562 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 14.563 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (/ 1 a) -1)) into 0 14.564 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* a PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 14.566 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (* 0.5 PI) 14.566 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 14.566 * [taylor]: Taking taylor expansion of 0.5 in a 14.566 * [backup-simplify]: Simplify 0.5 into 0.5 14.566 * [taylor]: Taking taylor expansion of PI in a 14.566 * [backup-simplify]: Simplify PI into PI 14.567 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 14.567 * [backup-simplify]: Simplify 0 into 0 14.568 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 14.569 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 14.570 * [backup-simplify]: Simplify 0 into 0 14.570 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 14.571 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 14.571 * [backup-simplify]: Simplify (- 0) into 0 14.572 * [backup-simplify]: Simplify (+ 0 0) into 0 14.573 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 14.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.574 * [backup-simplify]: Simplify (- 0) into 0 14.574 * [backup-simplify]: Simplify (+ 0 0) into 0 14.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 14.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.576 * [backup-simplify]: Simplify (+ 0 0) into 0 14.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 -1))) into (/ 1 (pow a 2)) 14.579 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 (pow a 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI a)) 14.580 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 14.580 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 14.580 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 14.580 * [taylor]: Taking taylor expansion of 0.5 in a 14.580 * [backup-simplify]: Simplify 0.5 into 0.5 14.580 * [taylor]: Taking taylor expansion of (/ PI a) in a 14.580 * [taylor]: Taking taylor expansion of PI in a 14.580 * [backup-simplify]: Simplify PI into PI 14.580 * [taylor]: Taking taylor expansion of a in a 14.580 * [backup-simplify]: Simplify 0 into 0 14.580 * [backup-simplify]: Simplify 1 into 1 14.580 * [backup-simplify]: Simplify (/ PI 1) into PI 14.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 14.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.584 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.585 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.585 * [backup-simplify]: Simplify (- 0) into 0 14.585 * [backup-simplify]: Simplify 0 into 0 14.587 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 14.587 * [backup-simplify]: Simplify 0 into 0 14.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 14.589 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 14.590 * [backup-simplify]: Simplify 0 into 0 14.590 * [backup-simplify]: Simplify 0 into 0 14.590 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 14.590 * [backup-simplify]: Simplify (- (/ 1.0 a) (/ 1.0 b)) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 14.590 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in (a b) around 0 14.590 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 14.590 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 14.590 * [taylor]: Taking taylor expansion of 1.0 in b 14.590 * [backup-simplify]: Simplify 1.0 into 1.0 14.590 * [taylor]: Taking taylor expansion of (/ 1 a) in b 14.590 * [taylor]: Taking taylor expansion of a in b 14.590 * [backup-simplify]: Simplify a into a 14.590 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 14.590 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 14.590 * [taylor]: Taking taylor expansion of 1.0 in b 14.590 * [backup-simplify]: Simplify 1.0 into 1.0 14.590 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.590 * [taylor]: Taking taylor expansion of b in b 14.590 * [backup-simplify]: Simplify 0 into 0 14.590 * [backup-simplify]: Simplify 1 into 1 14.591 * [backup-simplify]: Simplify (/ 1 1) into 1 14.591 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 14.591 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 14.591 * [taylor]: Taking taylor expansion of 1.0 in a 14.591 * [backup-simplify]: Simplify 1.0 into 1.0 14.591 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.591 * [taylor]: Taking taylor expansion of a in a 14.591 * [backup-simplify]: Simplify 0 into 0 14.591 * [backup-simplify]: Simplify 1 into 1 14.591 * [backup-simplify]: Simplify (/ 1 1) into 1 14.591 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 14.592 * [taylor]: Taking taylor expansion of 1.0 in a 14.592 * [backup-simplify]: Simplify 1.0 into 1.0 14.592 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.592 * [taylor]: Taking taylor expansion of b in a 14.592 * [backup-simplify]: Simplify b into b 14.592 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.592 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 14.592 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 14.592 * [taylor]: Taking taylor expansion of 1.0 in a 14.592 * [backup-simplify]: Simplify 1.0 into 1.0 14.592 * [taylor]: Taking taylor expansion of (/ 1 a) in a 14.592 * [taylor]: Taking taylor expansion of a in a 14.592 * [backup-simplify]: Simplify 0 into 0 14.592 * [backup-simplify]: Simplify 1 into 1 14.592 * [backup-simplify]: Simplify (/ 1 1) into 1 14.592 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 14.592 * [taylor]: Taking taylor expansion of 1.0 in a 14.592 * [backup-simplify]: Simplify 1.0 into 1.0 14.592 * [taylor]: Taking taylor expansion of (/ 1 b) in a 14.593 * [taylor]: Taking taylor expansion of b in a 14.593 * [backup-simplify]: Simplify b into b 14.593 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 14.593 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.594 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.594 * [taylor]: Taking taylor expansion of 1.0 in b 14.594 * [backup-simplify]: Simplify 1.0 into 1.0 14.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.595 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 14.595 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 14.595 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 14.595 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 14.595 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b))) in b 14.596 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 14.596 * [taylor]: Taking taylor expansion of 1.0 in b 14.596 * [backup-simplify]: Simplify 1.0 into 1.0 14.596 * [taylor]: Taking taylor expansion of (/ 1 b) in b 14.596 * [taylor]: Taking taylor expansion of b in b 14.596 * [backup-simplify]: Simplify 0 into 0 14.596 * [backup-simplify]: Simplify 1 into 1 14.605 * [backup-simplify]: Simplify (/ 1 1) into 1 14.606 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 14.606 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.607 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.607 * [backup-simplify]: Simplify 1.0 into 1.0 14.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.609 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 14.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 14.609 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 14.610 * [backup-simplify]: Simplify (- 0) into 0 14.610 * [backup-simplify]: Simplify (+ 0 0) into 0 14.610 * [taylor]: Taking taylor expansion of 0 in b 14.610 * [backup-simplify]: Simplify 0 into 0 14.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 14.611 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 14.612 * [backup-simplify]: Simplify (- 0) into 0 14.612 * [backup-simplify]: Simplify 0 into 0 14.612 * [backup-simplify]: Simplify 0 into 0 14.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.614 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 14.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 14.615 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 14.615 * [backup-simplify]: Simplify (- 0) into 0 14.616 * [backup-simplify]: Simplify (+ 0 0) into 0 14.616 * [taylor]: Taking taylor expansion of 0 in b 14.616 * [backup-simplify]: Simplify 0 into 0 14.616 * [backup-simplify]: Simplify 0 into 0 14.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.618 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 14.618 * [backup-simplify]: Simplify (- 0) into 0 14.618 * [backup-simplify]: Simplify 0 into 0 14.618 * [backup-simplify]: Simplify 0 into 0 14.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 14.621 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 14.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 14.622 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 14.622 * [backup-simplify]: Simplify (- 0) into 0 14.623 * [backup-simplify]: Simplify (+ 0 0) into 0 14.623 * [taylor]: Taking taylor expansion of 0 in b 14.623 * [backup-simplify]: Simplify 0 into 0 14.623 * [backup-simplify]: Simplify 0 into 0 14.623 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 a))) (* (- 1.0) (* (/ 1 b) 1))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 14.624 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) into (- (* 1.0 a) (* 1.0 b)) 14.624 * [approximate]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in (a b) around 0 14.624 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 14.624 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 14.624 * [taylor]: Taking taylor expansion of 1.0 in b 14.624 * [backup-simplify]: Simplify 1.0 into 1.0 14.624 * [taylor]: Taking taylor expansion of a in b 14.624 * [backup-simplify]: Simplify a into a 14.624 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.624 * [taylor]: Taking taylor expansion of 1.0 in b 14.624 * [backup-simplify]: Simplify 1.0 into 1.0 14.624 * [taylor]: Taking taylor expansion of b in b 14.624 * [backup-simplify]: Simplify 0 into 0 14.624 * [backup-simplify]: Simplify 1 into 1 14.624 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 14.624 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 14.624 * [taylor]: Taking taylor expansion of 1.0 in a 14.624 * [backup-simplify]: Simplify 1.0 into 1.0 14.624 * [taylor]: Taking taylor expansion of a in a 14.624 * [backup-simplify]: Simplify 0 into 0 14.624 * [backup-simplify]: Simplify 1 into 1 14.624 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 14.624 * [taylor]: Taking taylor expansion of 1.0 in a 14.624 * [backup-simplify]: Simplify 1.0 into 1.0 14.624 * [taylor]: Taking taylor expansion of b in a 14.624 * [backup-simplify]: Simplify b into b 14.624 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 14.624 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 14.624 * [taylor]: Taking taylor expansion of 1.0 in a 14.624 * [backup-simplify]: Simplify 1.0 into 1.0 14.624 * [taylor]: Taking taylor expansion of a in a 14.624 * [backup-simplify]: Simplify 0 into 0 14.624 * [backup-simplify]: Simplify 1 into 1 14.624 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 14.624 * [taylor]: Taking taylor expansion of 1.0 in a 14.625 * [backup-simplify]: Simplify 1.0 into 1.0 14.625 * [taylor]: Taking taylor expansion of b in a 14.625 * [backup-simplify]: Simplify b into b 14.625 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.625 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 14.625 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 14.625 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 14.625 * [taylor]: Taking taylor expansion of (- (* 1.0 b)) in b 14.625 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.625 * [taylor]: Taking taylor expansion of 1.0 in b 14.625 * [backup-simplify]: Simplify 1.0 into 1.0 14.625 * [taylor]: Taking taylor expansion of b in b 14.626 * [backup-simplify]: Simplify 0 into 0 14.626 * [backup-simplify]: Simplify 1 into 1 14.626 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.626 * [backup-simplify]: Simplify (- 0) into 0 14.626 * [backup-simplify]: Simplify 0 into 0 14.628 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 14.628 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 14.628 * [backup-simplify]: Simplify (- 0) into 0 14.629 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 14.629 * [taylor]: Taking taylor expansion of 1.0 in b 14.629 * [backup-simplify]: Simplify 1.0 into 1.0 14.629 * [backup-simplify]: Simplify 1.0 into 1.0 14.630 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 14.631 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.631 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.632 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 14.633 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 14.633 * [backup-simplify]: Simplify (- 0) into 0 14.634 * [backup-simplify]: Simplify (+ 0 0) into 0 14.634 * [taylor]: Taking taylor expansion of 0 in b 14.634 * [backup-simplify]: Simplify 0 into 0 14.634 * [backup-simplify]: Simplify 0 into 0 14.634 * [backup-simplify]: Simplify 0 into 0 14.635 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 14.635 * [backup-simplify]: Simplify (- 0) into 0 14.635 * [backup-simplify]: Simplify 0 into 0 14.636 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.638 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 14.638 * [backup-simplify]: Simplify (- 0) into 0 14.638 * [backup-simplify]: Simplify (+ 0 0) into 0 14.638 * [taylor]: Taking taylor expansion of 0 in b 14.638 * [backup-simplify]: Simplify 0 into 0 14.638 * [backup-simplify]: Simplify 0 into 0 14.638 * [backup-simplify]: Simplify 0 into 0 14.638 * [backup-simplify]: Simplify 0 into 0 14.639 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 b) 1)) (* 1.0 (* 1 (/ 1 a)))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 14.639 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) into (- (* 1.0 b) (* 1.0 a)) 14.639 * [approximate]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in (a b) around 0 14.639 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 14.639 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.639 * [taylor]: Taking taylor expansion of 1.0 in b 14.639 * [backup-simplify]: Simplify 1.0 into 1.0 14.639 * [taylor]: Taking taylor expansion of b in b 14.639 * [backup-simplify]: Simplify 0 into 0 14.639 * [backup-simplify]: Simplify 1 into 1 14.639 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 14.639 * [taylor]: Taking taylor expansion of 1.0 in b 14.640 * [backup-simplify]: Simplify 1.0 into 1.0 14.640 * [taylor]: Taking taylor expansion of a in b 14.640 * [backup-simplify]: Simplify a into a 14.640 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 14.640 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 14.640 * [taylor]: Taking taylor expansion of 1.0 in a 14.640 * [backup-simplify]: Simplify 1.0 into 1.0 14.640 * [taylor]: Taking taylor expansion of b in a 14.640 * [backup-simplify]: Simplify b into b 14.640 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 14.640 * [taylor]: Taking taylor expansion of 1.0 in a 14.640 * [backup-simplify]: Simplify 1.0 into 1.0 14.640 * [taylor]: Taking taylor expansion of a in a 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 1 into 1 14.640 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 14.640 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 14.640 * [taylor]: Taking taylor expansion of 1.0 in a 14.640 * [backup-simplify]: Simplify 1.0 into 1.0 14.640 * [taylor]: Taking taylor expansion of b in a 14.640 * [backup-simplify]: Simplify b into b 14.640 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 14.640 * [taylor]: Taking taylor expansion of 1.0 in a 14.640 * [backup-simplify]: Simplify 1.0 into 1.0 14.640 * [taylor]: Taking taylor expansion of a in a 14.640 * [backup-simplify]: Simplify 0 into 0 14.640 * [backup-simplify]: Simplify 1 into 1 14.640 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 14.641 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.641 * [backup-simplify]: Simplify (- 0) into 0 14.641 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 14.641 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 14.641 * [taylor]: Taking taylor expansion of 1.0 in b 14.641 * [backup-simplify]: Simplify 1.0 into 1.0 14.641 * [taylor]: Taking taylor expansion of b in b 14.641 * [backup-simplify]: Simplify 0 into 0 14.641 * [backup-simplify]: Simplify 1 into 1 14.642 * [backup-simplify]: Simplify (* 1.0 0) into 0 14.642 * [backup-simplify]: Simplify 0 into 0 14.642 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 14.644 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 14.644 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.645 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 14.645 * [taylor]: Taking taylor expansion of (- 1.0) in b 14.645 * [taylor]: Taking taylor expansion of 1.0 in b 14.645 * [backup-simplify]: Simplify 1.0 into 1.0 14.645 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.646 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 14.647 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 14.647 * [backup-simplify]: Simplify 1.0 into 1.0 14.648 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 14.649 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 14.649 * [backup-simplify]: Simplify (- 0) into 0 14.650 * [backup-simplify]: Simplify (+ 0 0) into 0 14.650 * [taylor]: Taking taylor expansion of 0 in b 14.650 * [backup-simplify]: Simplify 0 into 0 14.650 * [backup-simplify]: Simplify 0 into 0 14.650 * [backup-simplify]: Simplify (- 0) into 0 14.650 * [backup-simplify]: Simplify 0 into 0 14.651 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 14.651 * [backup-simplify]: Simplify 0 into 0 14.652 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 14.654 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 14.654 * [backup-simplify]: Simplify (- 0) into 0 14.654 * [backup-simplify]: Simplify (+ 0 0) into 0 14.654 * [taylor]: Taking taylor expansion of 0 in b 14.654 * [backup-simplify]: Simplify 0 into 0 14.654 * [backup-simplify]: Simplify 0 into 0 14.654 * [backup-simplify]: Simplify 0 into 0 14.655 * [backup-simplify]: Simplify (- 0) into 0 14.655 * [backup-simplify]: Simplify 0 into 0 14.655 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- b)) 1)) (* (- 1.0) (* 1 (/ 1 (- a))))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 14.656 * * * [progress]: simplifying candidates 14.693 * [simplify]: Simplifying: (expm1 (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ b a))) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ (/ PI 2.0) (+ b a)) 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* 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 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* 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 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a))) (* (* 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 2.0) (+ b a)) 1.0) (* (/ (/ PI 2.0) (+ b a)) 1.0)) (* (/ (/ PI 2.0) (+ b a)) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (cbrt (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b))))) (cbrt (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) 1.0) (- (* 1.0 b) (* a 1.0))) (* (+ b a) (* a b)) (* (* (/ PI 2.0) 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (+ b a) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* (/ PI 2.0) 1.0) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (+ b a) (+ (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (cbrt (/ 1.0 b)) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b))))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (cbrt (/ 1.0 b))) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b))) (* (cbrt (/ 1.0 b)) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (sqrt (/ 1.0 b)) (sqrt (/ 1.0 b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (sqrt (/ 1.0 b))) (sqrt (/ 1.0 b)) (* (sqrt (/ 1.0 b)) (sqrt (/ 1.0 b))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (cbrt 1.0) (cbrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt b) (cbrt b))))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ (cbrt 1.0) (cbrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt b) (cbrt b))) (* (/ (cbrt 1.0) (cbrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt b) (cbrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)) (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (cbrt 1.0) b) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ (cbrt 1.0) b)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) b) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ (sqrt 1.0) b) (/ (sqrt 1.0) 1))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ (sqrt 1.0) b)) (/ (sqrt 1.0) 1) (* (/ (sqrt 1.0) b) (/ (sqrt 1.0) 1)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ 1.0 (cbrt b)) (/ 1 (* (cbrt b) (cbrt b))))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ 1.0 (cbrt b))) (/ 1 (* (cbrt b) (cbrt b))) (* (/ 1.0 (cbrt b)) (/ 1 (* (cbrt b) (cbrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ 1.0 (sqrt b)) (/ 1 (sqrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ 1.0 (sqrt b))) (/ 1 (sqrt b)) (* (/ 1.0 (sqrt b)) (/ 1 (sqrt b))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ 1.0 b) (/ 1 1))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ 1.0 b)) (/ 1 1) (* (/ 1.0 b) (/ 1 1)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ 1.0 b) 1)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ 1.0 b)) 1 (* (/ 1.0 b) 1))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (/ 1 b) 1.0)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ 1 b)) 1.0 (* (/ 1 b) 1.0))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (sqrt (/ 1.0 a)) (sqrt (/ 1.0 a)) (- (* (cbrt (/ 1.0 b)) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b))))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (cbrt (/ 1.0 b))) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b))) (* (cbrt (/ 1.0 b)) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (sqrt (/ 1.0 a)) (sqrt (/ 1.0 a)) (- (* (sqrt (/ 1.0 b)) (sqrt (/ 1.0 b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (sqrt (/ 1.0 b))) (sqrt (/ 1.0 b)) (* (sqrt (/ 1.0 b)) (sqrt (/ 1.0 b))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (sqrt (/ 1.0 a)) (sqrt (/ 1.0 a)) (- (* (/ (cbrt 1.0) (cbrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt b) (cbrt b))))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ (cbrt 1.0) (cbrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt b) (cbrt b))) (* (/ (cbrt 1.0) (cbrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt b) (cbrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (sqrt (/ 1.0 a)) (sqrt (/ 1.0 a)) (- (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)) (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (sqrt (/ 1.0 a)) (sqrt (/ 1.0 a)) (- (* (/ (cbrt 1.0) b) (/ (* (cbrt 1.0) (cbrt 1.0)) 1))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ (cbrt 1.0) b)) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (* (/ (cbrt 1.0) b) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (sqrt (/ 1.0 a)) (sqrt (/ 1.0 a)) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))))))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (* (/ (sqrt 1.0) 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b) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3)) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b)))) (- (/ 1.0 b)) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b))) (+ (/ 1.0 a) (/ 1.0 b)) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1.0 b)) (* -0.5 (/ PI (* a b))) (* 0.5 (/ PI (* a b))) (* 0.5 (/ PI (* a b))) 0 0 0 0 0 0 (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 14.784 * * [simplify]: Extracting # 0 : cost 0 14.788 * * [simplify]: Extracting # 1 : cost 0 14.792 * * [simplify]: Extracting # 2 : cost 0 14.796 * * [simplify]: Extracting # 3 : cost 0 14.800 * * [simplify]: Extracting # 4 : cost 0 14.804 * * [simplify]: Extracting # 5 : cost 0 14.808 * * [simplify]: Extracting # 6 : cost 0 14.812 * * [simplify]: Extracting # 7 : cost 0 14.816 * * [simplify]: Extracting # 8 : cost 0 14.820 * * [simplify]: Extracting # 9 : cost 0 14.825 * * [simplify]: iteration 0 : 955 enodes (cost 33243 ) 15.453 * * [simplify]: Extracting # 0 : cost 0 15.468 * * [simplify]: Extracting # 1 : cost 0 15.473 * * [simplify]: Extracting # 2 : cost 0 15.478 * * [simplify]: Extracting # 3 : cost 0 15.482 * * [simplify]: Extracting # 4 : cost 0 15.488 * * [simplify]: iteration 1 : 2949 enodes (cost 30085 ) 16.887 * * [simplify]: Extracting # 0 : cost 0 16.907 * * [simplify]: Extracting # 1 : cost 0 16.926 * * [simplify]: Extracting # 2 : cost 0 16.932 * * [simplify]: Extracting # 3 : cost 0 16.938 * * [simplify]: Extracting # 4 : cost 0 16.945 * * [simplify]: Extracting # 5 : cost 0 16.952 * * [simplify]: iteration done: 5000 enodes (cost 26463 ) 16.966 * [simplify]: Simplified to: (expm1 (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (/ (/ PI 2.0) (+ b a)) (* 1.0 (- (/ 1.0 a) (/ 1.0 b)))) (* (/ (/ PI 2.0) (+ b a)) (* 1.0 (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (/ (pow PI 3) (* (pow (+ b a) 3) (pow 2.0 3))) (* (pow 1.0 3) (pow (- (/ 1.0 a) (/ 1.0 b)) 3))) (* (pow (- (/ 1.0 a) (/ 1.0 b)) 3) (* (pow 1.0 3) (/ (pow (/ PI 2.0) 3) (pow (+ b a) 3)))) (* (* (pow (/ (/ PI 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1.0 (cbrt a)) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b)))))) (fma (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))))) (fma (/ 1 (* (cbrt a) (cbrt a))) (/ 1.0 (cbrt a)) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (fma (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))) (fma (/ 1 (* (cbrt a) (cbrt a))) (/ 1.0 (cbrt a)) (- (/ 1.0 b))) (+ (- (/ 1.0 b)) (/ 1.0 b)) (fma (/ 1 (* (cbrt a) (cbrt a))) (/ 1.0 (cbrt a)) (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b))))) (+ (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (fma (/ 1 (* (cbrt a) (cbrt a))) (/ 1.0 (cbrt a)) (- (/ (/ 1.0 (sqrt b)) (sqrt b)))) (+ (- (/ (/ 1.0 (sqrt b)) (sqrt b))) (/ (/ 1.0 (sqrt b)) (sqrt b))) (fma (/ 1 (* (cbrt a) (cbrt a))) (/ 1.0 (cbrt a)) (- (/ 1.0 b))) (+ (- (/ 1.0 b)) (/ 1.0 b)) (fma (/ 1 (* (cbrt a) (cbrt a))) (/ 1.0 (cbrt a)) (- (/ 1.0 b))) (+ (- (/ 1.0 b)) (/ 1.0 b)) (fma (/ 1 (* (cbrt a) (cbrt a))) (/ 1.0 (cbrt a)) (- (/ 1.0 b))) (+ (- (/ 1.0 b)) (/ 1.0 b)) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (/ 1.0 b))) (+ (- (/ 1.0 b)) (/ 1.0 b)) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (/ 1.0 b))) (+ (- (/ 1.0 b)) (/ 1.0 b)) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (pow (/ (cbrt 1.0) (cbrt b)) 3))) (+ (- (pow (/ (cbrt 1.0) (cbrt b)) 3)) (pow (/ (cbrt 1.0) (cbrt b)) 3)) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b))))) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)) (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)))) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (/ (- (pow (cbrt 1.0) 3)) b)) (+ (/ (- (pow (cbrt 1.0) 3)) b) (/ (pow (cbrt 1.0) 3) b)) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b)))))) (fma (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))))) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (fma (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (/ 1.0 b))) (+ (- (/ 1.0 b)) (/ 1.0 b)) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b))))) (+ (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (/ (/ 1.0 (sqrt b)) (sqrt b)))) (+ (- (/ (/ 1.0 (sqrt b)) (sqrt b))) (/ (/ 1.0 (sqrt b)) (sqrt b))) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (/ 1.0 b))) (+ (- (/ 1.0 b)) (/ 1.0 b)) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (/ 1.0 b))) (+ (- (/ 1.0 b)) (/ 1.0 b)) (fma (/ 1 (sqrt a)) (/ 1.0 (sqrt a)) (- (/ 1.0 b))) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (+ (/ 1.0 a) (- (pow (/ (cbrt 1.0) (cbrt b)) 3))) (+ (- (pow (/ (cbrt 1.0) (cbrt b)) 3)) (pow (/ (cbrt 1.0) (cbrt b)) 3)) (+ (/ 1.0 a) (- (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b))))) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)) (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)))) (+ (/ 1.0 a) (/ (- (pow (cbrt 1.0) 3)) b)) (+ (/ (- (pow (cbrt 1.0) 3)) b) (/ (pow (cbrt 1.0) 3) b)) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b)))))) (fma (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))))) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (fma (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (+ (/ 1.0 a) (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b))))) (+ (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (+ (/ 1.0 a) (- (/ (/ 1.0 (sqrt b)) (sqrt b)))) (+ (- (/ (/ 1.0 (sqrt b)) (sqrt b))) (/ (/ 1.0 (sqrt b)) (sqrt b))) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (+ (/ 1.0 a) (- (pow (/ (cbrt 1.0) (cbrt b)) 3))) (+ (- (pow (/ (cbrt 1.0) (cbrt b)) 3)) (pow (/ (cbrt 1.0) (cbrt b)) 3)) (+ (/ 1.0 a) (- (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b))))) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)) (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)))) (+ (/ 1.0 a) (/ (- (pow (cbrt 1.0) 3)) b)) (+ (/ (- (pow (cbrt 1.0) 3)) b) (/ (pow (cbrt 1.0) 3) b)) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b)))))) (fma (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))))) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (fma (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (+ (/ 1.0 a) (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b))))) (+ (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (+ (/ 1.0 a) (- (/ (/ 1.0 (sqrt b)) (sqrt b)))) (+ (- (/ (/ 1.0 (sqrt b)) (sqrt b))) (/ (/ 1.0 (sqrt b)) (sqrt b))) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (+ (/ 1.0 a) (- (pow (/ (cbrt 1.0) (cbrt b)) 3))) (+ (- (pow (/ (cbrt 1.0) (cbrt b)) 3)) (pow (/ (cbrt 1.0) (cbrt b)) 3)) (+ (/ 1.0 a) (- (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b))))) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)) (* (/ (cbrt 1.0) (sqrt b)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)))) (+ (/ 1.0 a) (/ (- (pow (cbrt 1.0) 3)) b)) (+ (/ (- (pow (cbrt 1.0) 3)) b) (/ (pow (cbrt 1.0) 3) b)) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b)))))) (fma (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (* (/ (sqrt 1.0) (cbrt b)) (/ (sqrt 1.0) (* (cbrt b) (cbrt b))))) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (fma (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (+ (/ 1.0 a) (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b))))) (+ (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (+ (/ 1.0 a) (- (/ (/ 1.0 (sqrt b)) (sqrt b)))) (+ (- (/ (/ 1.0 (sqrt b)) (sqrt b))) (/ (/ 1.0 (sqrt b)) (sqrt b))) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (+ (- (/ 1.0 b)) (/ 1.0 b)) (expm1 (- (/ 1.0 a) (/ 1.0 b))) (log1p (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (exp (- (/ 1.0 a) (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (pow (- (/ 1.0 a) (/ 1.0 b)) 3) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (- (* 1.0 b) (* a 1.0)) (* a b) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3)) (fma (/ 1.0 a) (/ 1.0 a) (* (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a)))) (- (/ 1.0 b)) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b))) (+ (/ 1.0 b) (/ 1.0 a)) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1.0 b)) (* -0.5 (/ PI (* a b))) (* 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)) 16.983 * * * [progress]: adding candidates to table 19.685 * * [progress]: iteration 4 / 4 19.685 * * * [progress]: picking best candidate 19.711 * * * * [pick]: Picked # 19.711 * * * [progress]: localizing error 19.734 * * * [progress]: generating rewritten candidates 19.734 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 19.842 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 19.946 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1) 19.964 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 20.086 * * * [progress]: generating series expansions 20.086 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 20.087 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b)) into (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* b (+ a b))))) 20.087 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* b (+ a b))))) in (b a) around 0 20.087 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* b (+ a b))))) in a 20.087 * [taylor]: Taking taylor expansion of 0.5 in a 20.087 * [backup-simplify]: Simplify 0.5 into 0.5 20.087 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* b (+ a b)))) in a 20.087 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 20.087 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 20.087 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.087 * [taylor]: Taking taylor expansion of 1.0 in a 20.087 * [backup-simplify]: Simplify 1.0 into 1.0 20.087 * [taylor]: Taking taylor expansion of b in a 20.087 * [backup-simplify]: Simplify b into b 20.087 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.087 * [taylor]: Taking taylor expansion of 1.0 in a 20.087 * [backup-simplify]: Simplify 1.0 into 1.0 20.087 * [taylor]: Taking taylor expansion of a in a 20.087 * [backup-simplify]: Simplify 0 into 0 20.087 * [backup-simplify]: Simplify 1 into 1 20.087 * [taylor]: Taking taylor expansion of PI in a 20.087 * [backup-simplify]: Simplify PI into PI 20.087 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in a 20.087 * [taylor]: Taking taylor expansion of a in a 20.087 * [backup-simplify]: Simplify 0 into 0 20.087 * [backup-simplify]: Simplify 1 into 1 20.087 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 20.087 * [taylor]: Taking taylor expansion of b in a 20.087 * [backup-simplify]: Simplify b into b 20.087 * [taylor]: Taking taylor expansion of (+ a b) in a 20.087 * [taylor]: Taking taylor expansion of a in a 20.087 * [backup-simplify]: Simplify 0 into 0 20.087 * [backup-simplify]: Simplify 1 into 1 20.087 * [taylor]: Taking taylor expansion of b in a 20.087 * [backup-simplify]: Simplify b into b 20.088 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.088 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.088 * [backup-simplify]: Simplify (- 0) into 0 20.088 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 20.088 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 20.088 * [backup-simplify]: Simplify (+ 0 b) into b 20.088 * [backup-simplify]: Simplify (* b b) into (pow b 2) 20.089 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 20.089 * [backup-simplify]: Simplify (+ 1 0) into 1 20.089 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 20.089 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 20.089 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) (pow b 2)) into (* 1.0 (/ PI b)) 20.089 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* b (+ a b))))) in b 20.089 * [taylor]: Taking taylor expansion of 0.5 in b 20.089 * [backup-simplify]: Simplify 0.5 into 0.5 20.089 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* b (+ a b)))) in b 20.089 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 20.089 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 20.089 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.089 * [taylor]: Taking taylor expansion of 1.0 in b 20.089 * [backup-simplify]: Simplify 1.0 into 1.0 20.089 * [taylor]: Taking taylor expansion of b in b 20.089 * [backup-simplify]: Simplify 0 into 0 20.089 * [backup-simplify]: Simplify 1 into 1 20.089 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.089 * [taylor]: Taking taylor expansion of 1.0 in b 20.089 * [backup-simplify]: Simplify 1.0 into 1.0 20.090 * [taylor]: Taking taylor expansion of a in b 20.090 * [backup-simplify]: Simplify a into a 20.090 * [taylor]: Taking taylor expansion of PI in b 20.090 * [backup-simplify]: Simplify PI into PI 20.090 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in b 20.090 * [taylor]: Taking taylor expansion of a in b 20.090 * [backup-simplify]: Simplify a into a 20.090 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 20.090 * [taylor]: Taking taylor expansion of b in b 20.090 * [backup-simplify]: Simplify 0 into 0 20.090 * [backup-simplify]: Simplify 1 into 1 20.090 * [taylor]: Taking taylor expansion of (+ a b) in b 20.090 * [taylor]: Taking taylor expansion of a in b 20.090 * [backup-simplify]: Simplify a into a 20.090 * [taylor]: Taking taylor expansion of b in b 20.090 * [backup-simplify]: Simplify 0 into 0 20.090 * [backup-simplify]: Simplify 1 into 1 20.090 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.090 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 20.090 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 20.090 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 20.090 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 20.090 * [backup-simplify]: Simplify (+ a 0) into a 20.090 * [backup-simplify]: Simplify (* 0 a) into 0 20.090 * [backup-simplify]: Simplify (* a 0) into 0 20.091 * [backup-simplify]: Simplify (+ 0 1) into 1 20.091 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 20.091 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 20.091 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) (pow a 2)) into (* -1.0 (/ PI a)) 20.091 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* b (+ a b))))) in b 20.091 * [taylor]: Taking taylor expansion of 0.5 in b 20.091 * [backup-simplify]: Simplify 0.5 into 0.5 20.091 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* b (+ a b)))) in b 20.091 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 20.092 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 20.092 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.092 * [taylor]: Taking taylor expansion of 1.0 in b 20.092 * [backup-simplify]: Simplify 1.0 into 1.0 20.092 * [taylor]: Taking taylor expansion of b in b 20.092 * [backup-simplify]: Simplify 0 into 0 20.092 * [backup-simplify]: Simplify 1 into 1 20.092 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.092 * [taylor]: Taking taylor expansion of 1.0 in b 20.092 * [backup-simplify]: Simplify 1.0 into 1.0 20.092 * [taylor]: Taking taylor expansion of a in b 20.092 * [backup-simplify]: Simplify a into a 20.092 * [taylor]: Taking taylor expansion of PI in b 20.092 * [backup-simplify]: Simplify PI into PI 20.092 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in b 20.092 * [taylor]: Taking taylor expansion of a in b 20.092 * [backup-simplify]: Simplify a into a 20.092 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 20.092 * [taylor]: Taking taylor expansion of b in b 20.092 * [backup-simplify]: Simplify 0 into 0 20.092 * [backup-simplify]: Simplify 1 into 1 20.092 * [taylor]: Taking taylor expansion of (+ a b) in b 20.092 * [taylor]: Taking taylor expansion of a in b 20.092 * [backup-simplify]: Simplify a into a 20.092 * [taylor]: Taking taylor expansion of b in b 20.092 * [backup-simplify]: Simplify 0 into 0 20.092 * [backup-simplify]: Simplify 1 into 1 20.092 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.092 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 20.092 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 20.092 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 20.092 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 20.092 * [backup-simplify]: Simplify (+ a 0) into a 20.093 * [backup-simplify]: Simplify (* 0 a) into 0 20.093 * [backup-simplify]: Simplify (* a 0) into 0 20.093 * [backup-simplify]: Simplify (+ 0 1) into 1 20.093 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 20.093 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 20.094 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) (pow a 2)) into (* -1.0 (/ PI a)) 20.094 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (/ PI a))) into (* -0.5 (/ PI a)) 20.094 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI a)) in a 20.094 * [taylor]: Taking taylor expansion of -0.5 in a 20.094 * [backup-simplify]: Simplify -0.5 into -0.5 20.094 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.094 * [taylor]: Taking taylor expansion of PI in a 20.094 * [backup-simplify]: Simplify PI into PI 20.094 * [taylor]: Taking taylor expansion of a in a 20.094 * [backup-simplify]: Simplify 0 into 0 20.094 * [backup-simplify]: Simplify 1 into 1 20.095 * [backup-simplify]: Simplify (/ PI 1) into PI 20.095 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 20.096 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 20.096 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.097 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 20.097 * [backup-simplify]: Simplify (- 0) into 0 20.097 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.098 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 20.098 * [backup-simplify]: Simplify (+ 0 0) into 0 20.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 a))) into 1 20.099 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 a) (* 0 0))) into a 20.099 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) (pow a 2)) (+ (* (* -1.0 (/ PI a)) (/ a (pow a 2))))) into (* 2.0 (/ PI (pow a 2))) 20.099 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow a 2)))) (* 0 (* -1.0 (/ PI a)))) into (* 1.0 (/ PI (pow a 2))) 20.099 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 20.099 * [taylor]: Taking taylor expansion of 1.0 in a 20.100 * [backup-simplify]: Simplify 1.0 into 1.0 20.100 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 20.100 * [taylor]: Taking taylor expansion of PI in a 20.100 * [backup-simplify]: Simplify PI into PI 20.100 * [taylor]: Taking taylor expansion of (pow a 2) in a 20.100 * [taylor]: Taking taylor expansion of a in a 20.100 * [backup-simplify]: Simplify 0 into 0 20.100 * [backup-simplify]: Simplify 1 into 1 20.100 * [backup-simplify]: Simplify (* 1 1) into 1 20.100 * [backup-simplify]: Simplify (/ PI 1) into PI 20.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.102 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 20.102 * [backup-simplify]: Simplify 0 into 0 20.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.103 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 20.103 * [backup-simplify]: Simplify 0 into 0 20.103 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.104 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 20.104 * [backup-simplify]: Simplify (- 0) into 0 20.104 * [backup-simplify]: Simplify (+ 0 0) into 0 20.105 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 20.105 * [backup-simplify]: Simplify (+ 0 0) into 0 20.106 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 a)))) into 0 20.106 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (+ (* 0 a) (* 0 0)))) into 0 20.107 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (* -1.0 (/ PI a)) (/ 0 (pow a 2))) (* (* 2.0 (/ PI (pow a 2))) (/ a (pow a 2))))) into (- (* 2.0 (/ PI (pow a 3)))) 20.107 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow a 3))))) (+ (* 0 (* 2.0 (/ PI (pow a 2)))) (* 0 (* -1.0 (/ PI a))))) into (- (* 1.0 (/ PI (pow a 3)))) 20.107 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 20.107 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 20.107 * [taylor]: Taking taylor expansion of 1.0 in a 20.107 * [backup-simplify]: Simplify 1.0 into 1.0 20.107 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 20.107 * [taylor]: Taking taylor expansion of PI in a 20.107 * [backup-simplify]: Simplify PI into PI 20.107 * [taylor]: Taking taylor expansion of (pow a 3) in a 20.107 * [taylor]: Taking taylor expansion of a in a 20.107 * [backup-simplify]: Simplify 0 into 0 20.107 * [backup-simplify]: Simplify 1 into 1 20.108 * [backup-simplify]: Simplify (* 1 1) into 1 20.108 * [backup-simplify]: Simplify (* 1 1) into 1 20.108 * [backup-simplify]: Simplify (/ PI 1) into PI 20.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.112 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.112 * [backup-simplify]: Simplify (- 0) into 0 20.112 * [backup-simplify]: Simplify 0 into 0 20.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.114 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.114 * [backup-simplify]: Simplify 0 into 0 20.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.115 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.115 * [backup-simplify]: Simplify 0 into 0 20.116 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.117 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 20.117 * [backup-simplify]: Simplify (- 0) into 0 20.117 * [backup-simplify]: Simplify (+ 0 0) into 0 20.118 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.118 * [backup-simplify]: Simplify (+ 0 0) into 0 20.119 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 a))))) into 0 20.120 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 a) (* 0 0))))) into 0 20.121 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (* -1.0 (/ PI a)) (/ 0 (pow a 2))) (* (* 2.0 (/ PI (pow a 2))) (/ 0 (pow a 2))) (* (- (* 2.0 (/ PI (pow a 3)))) (/ a (pow a 2))))) into (* 2.0 (/ PI (pow a 4))) 20.121 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow a 4)))) (+ (* 0 (- (* 2.0 (/ PI (pow a 3))))) (+ (* 0 (* 2.0 (/ PI (pow a 2)))) (* 0 (* -1.0 (/ PI a)))))) into (* 1.0 (/ PI (pow a 4))) 20.121 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 4))) in a 20.121 * [taylor]: Taking taylor expansion of 1.0 in a 20.121 * [backup-simplify]: Simplify 1.0 into 1.0 20.121 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 20.121 * [taylor]: Taking taylor expansion of PI in a 20.121 * [backup-simplify]: Simplify PI into PI 20.122 * [taylor]: Taking taylor expansion of (pow a 4) in a 20.122 * [taylor]: Taking taylor expansion of a in a 20.122 * [backup-simplify]: Simplify 0 into 0 20.122 * [backup-simplify]: Simplify 1 into 1 20.122 * [backup-simplify]: Simplify (* 1 1) into 1 20.122 * [backup-simplify]: Simplify (* 1 1) into 1 20.130 * [backup-simplify]: Simplify (/ PI 1) into PI 20.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.136 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.136 * [backup-simplify]: Simplify 0 into 0 20.137 * [backup-simplify]: Simplify (* (* -0.5 PI) (* (/ 1 a) (/ 1 b))) into (* -0.5 (/ PI (* a b))) 20.137 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) 1.0) (- (* 1.0 (/ 1 b)) (* (/ 1 a) 1.0))) (* (/ 1 a) (/ 1 b))) into (* 0.5 (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (+ (/ 1 a) (/ 1 b)))) 20.138 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 20.138 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (+ (/ 1 a) (/ 1 b)))) in a 20.138 * [taylor]: Taking taylor expansion of 0.5 in a 20.138 * [backup-simplify]: Simplify 0.5 into 0.5 20.138 * [taylor]: Taking taylor expansion of (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (+ (/ 1 a) (/ 1 b))) in a 20.138 * [taylor]: Taking taylor expansion of (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) in a 20.138 * [taylor]: Taking taylor expansion of b in a 20.138 * [backup-simplify]: Simplify b into b 20.138 * [taylor]: Taking taylor expansion of (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI)) in a 20.138 * [taylor]: Taking taylor expansion of a in a 20.138 * [backup-simplify]: Simplify 0 into 0 20.138 * [backup-simplify]: Simplify 1 into 1 20.138 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in a 20.138 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in a 20.138 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.138 * [taylor]: Taking taylor expansion of 1.0 in a 20.138 * [backup-simplify]: Simplify 1.0 into 1.0 20.138 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.138 * [taylor]: Taking taylor expansion of b in a 20.138 * [backup-simplify]: Simplify b into b 20.138 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.138 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.138 * [taylor]: Taking taylor expansion of 1.0 in a 20.138 * [backup-simplify]: Simplify 1.0 into 1.0 20.138 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.138 * [taylor]: Taking taylor expansion of a in a 20.138 * [backup-simplify]: Simplify 0 into 0 20.138 * [backup-simplify]: Simplify 1 into 1 20.139 * [backup-simplify]: Simplify (/ 1 1) into 1 20.139 * [taylor]: Taking taylor expansion of PI in a 20.139 * [backup-simplify]: Simplify PI into PI 20.139 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.139 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.139 * [taylor]: Taking taylor expansion of a in a 20.139 * [backup-simplify]: Simplify 0 into 0 20.139 * [backup-simplify]: Simplify 1 into 1 20.139 * [backup-simplify]: Simplify (/ 1 1) into 1 20.139 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.139 * [taylor]: Taking taylor expansion of b in a 20.139 * [backup-simplify]: Simplify b into b 20.139 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.139 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.140 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.140 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.141 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 20.141 * [backup-simplify]: Simplify (* 0 (* -1.0 PI)) into 0 20.141 * [backup-simplify]: Simplify (* b 0) into 0 20.141 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 20.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.142 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.143 * [backup-simplify]: Simplify (- 0) into 0 20.143 * [backup-simplify]: Simplify (+ (/ 1.0 b) 0) into (* 1.0 (/ 1 b)) 20.143 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 b)) PI)) into (* 1.0 (/ PI b)) 20.144 * [backup-simplify]: Simplify (+ (* 0 (* 1.0 (/ PI b))) (* 1 (* -1.0 PI))) into (- (* 1.0 PI)) 20.145 * [backup-simplify]: Simplify (+ (* b (- (* 1.0 PI))) (* 0 0)) into (- (* 1.0 (* PI b))) 20.145 * [backup-simplify]: Simplify (+ 1 0) into 1 20.145 * [backup-simplify]: Simplify (/ (- (* 1.0 (* PI b))) 1) into (* -1.0 (* b PI)) 20.145 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (+ (/ 1 a) (/ 1 b)))) in b 20.145 * [taylor]: Taking taylor expansion of 0.5 in b 20.145 * [backup-simplify]: Simplify 0.5 into 0.5 20.145 * [taylor]: Taking taylor expansion of (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (+ (/ 1 a) (/ 1 b))) in b 20.145 * [taylor]: Taking taylor expansion of (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) in b 20.145 * [taylor]: Taking taylor expansion of b in b 20.145 * [backup-simplify]: Simplify 0 into 0 20.145 * [backup-simplify]: Simplify 1 into 1 20.145 * [taylor]: Taking taylor expansion of (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI)) in b 20.145 * [taylor]: Taking taylor expansion of a in b 20.145 * [backup-simplify]: Simplify a into a 20.145 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in b 20.145 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in b 20.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.145 * [taylor]: Taking taylor expansion of 1.0 in b 20.145 * [backup-simplify]: Simplify 1.0 into 1.0 20.145 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.145 * [taylor]: Taking taylor expansion of b in b 20.145 * [backup-simplify]: Simplify 0 into 0 20.146 * [backup-simplify]: Simplify 1 into 1 20.146 * [backup-simplify]: Simplify (/ 1 1) into 1 20.146 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.146 * [taylor]: Taking taylor expansion of 1.0 in b 20.146 * [backup-simplify]: Simplify 1.0 into 1.0 20.146 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.146 * [taylor]: Taking taylor expansion of a in b 20.146 * [backup-simplify]: Simplify a into a 20.146 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.146 * [taylor]: Taking taylor expansion of PI in b 20.146 * [backup-simplify]: Simplify PI into PI 20.146 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.146 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.146 * [taylor]: Taking taylor expansion of a in b 20.146 * [backup-simplify]: Simplify a into a 20.146 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.146 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.146 * [taylor]: Taking taylor expansion of b in b 20.146 * [backup-simplify]: Simplify 0 into 0 20.146 * [backup-simplify]: Simplify 1 into 1 20.146 * [backup-simplify]: Simplify (/ 1 1) into 1 20.147 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.147 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.147 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 20.148 * [backup-simplify]: Simplify (* a (* 1.0 PI)) into (* 1.0 (* a PI)) 20.148 * [backup-simplify]: Simplify (* 0 (* 1.0 (* a PI))) into 0 20.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.149 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.149 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 20.149 * [backup-simplify]: Simplify (- (/ 1.0 a)) into (- (* 1.0 (/ 1 a))) 20.149 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 a)))) into (- (* 1.0 (/ 1 a))) 20.149 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 a))) PI)) into (- (* 1.0 (/ PI a))) 20.150 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 (/ PI a)))) (* 0 (* 1.0 PI))) into (- (* 1.0 PI)) 20.150 * [backup-simplify]: Simplify (+ (* 0 (- (* 1.0 PI))) (* 1 (* 1.0 (* a PI)))) into (* 1.0 (* a PI)) 20.151 * [backup-simplify]: Simplify (+ 0 1) into 1 20.151 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 20.151 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (+ (/ 1 a) (/ 1 b)))) in b 20.151 * [taylor]: Taking taylor expansion of 0.5 in b 20.151 * [backup-simplify]: Simplify 0.5 into 0.5 20.151 * [taylor]: Taking taylor expansion of (/ (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) (+ (/ 1 a) (/ 1 b))) in b 20.151 * [taylor]: Taking taylor expansion of (* b (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI))) in b 20.151 * [taylor]: Taking taylor expansion of b in b 20.151 * [backup-simplify]: Simplify 0 into 0 20.151 * [backup-simplify]: Simplify 1 into 1 20.151 * [taylor]: Taking taylor expansion of (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI)) in b 20.151 * [taylor]: Taking taylor expansion of a in b 20.151 * [backup-simplify]: Simplify a into a 20.151 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in b 20.151 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in b 20.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.151 * [taylor]: Taking taylor expansion of 1.0 in b 20.151 * [backup-simplify]: Simplify 1.0 into 1.0 20.151 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.151 * [taylor]: Taking taylor expansion of b in b 20.151 * [backup-simplify]: Simplify 0 into 0 20.151 * [backup-simplify]: Simplify 1 into 1 20.151 * [backup-simplify]: Simplify (/ 1 1) into 1 20.151 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.151 * [taylor]: Taking taylor expansion of 1.0 in b 20.151 * [backup-simplify]: Simplify 1.0 into 1.0 20.151 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.151 * [taylor]: Taking taylor expansion of a in b 20.152 * [backup-simplify]: Simplify a into a 20.152 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.152 * [taylor]: Taking taylor expansion of PI in b 20.152 * [backup-simplify]: Simplify PI into PI 20.152 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.152 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.152 * [taylor]: Taking taylor expansion of a in b 20.152 * [backup-simplify]: Simplify a into a 20.152 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.152 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.152 * [taylor]: Taking taylor expansion of b in b 20.152 * [backup-simplify]: Simplify 0 into 0 20.152 * [backup-simplify]: Simplify 1 into 1 20.152 * [backup-simplify]: Simplify (/ 1 1) into 1 20.152 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.153 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.154 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 20.154 * [backup-simplify]: Simplify (* a (* 1.0 PI)) into (* 1.0 (* a PI)) 20.155 * [backup-simplify]: Simplify (* 0 (* 1.0 (* a PI))) into 0 20.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.156 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.156 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 20.156 * [backup-simplify]: Simplify (- (/ 1.0 a)) into (- (* 1.0 (/ 1 a))) 20.156 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 a)))) into (- (* 1.0 (/ 1 a))) 20.156 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 a))) PI)) into (- (* 1.0 (/ PI a))) 20.157 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 (/ PI a)))) (* 0 (* 1.0 PI))) into (- (* 1.0 PI)) 20.158 * [backup-simplify]: Simplify (+ (* 0 (- (* 1.0 PI))) (* 1 (* 1.0 (* a PI)))) into (* 1.0 (* a PI)) 20.158 * [backup-simplify]: Simplify (+ 0 1) into 1 20.158 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 20.158 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 20.158 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 20.158 * [taylor]: Taking taylor expansion of 0.5 in a 20.158 * [backup-simplify]: Simplify 0.5 into 0.5 20.158 * [taylor]: Taking taylor expansion of (* a PI) in a 20.158 * [taylor]: Taking taylor expansion of a in a 20.158 * [backup-simplify]: Simplify 0 into 0 20.158 * [backup-simplify]: Simplify 1 into 1 20.158 * [taylor]: Taking taylor expansion of PI in a 20.159 * [backup-simplify]: Simplify PI into PI 20.160 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 20.160 * [backup-simplify]: Simplify (* 0 PI) into 0 20.161 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 20.161 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.164 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 20.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.165 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 20.165 * [backup-simplify]: Simplify (- 0) into 0 20.165 * [backup-simplify]: Simplify (+ 0 0) into 0 20.166 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) 0) (* 0 PI))) into 0 20.166 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (- (* 1.0 (/ PI a)))) (* 0 (* 1.0 PI)))) into 0 20.168 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (- (* 1.0 PI)) 20.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.168 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 20.170 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 a) 1)))) into (- (* 2.0 PI)) 20.171 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 1.0 PI)) 20.171 * [taylor]: Taking taylor expansion of (- (* 1.0 PI)) in a 20.171 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 20.171 * [taylor]: Taking taylor expansion of 1.0 in a 20.171 * [backup-simplify]: Simplify 1.0 into 1.0 20.171 * [taylor]: Taking taylor expansion of PI in a 20.171 * [backup-simplify]: Simplify PI into PI 20.171 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 20.172 * [backup-simplify]: Simplify (- 0) into 0 20.172 * [backup-simplify]: Simplify 0 into 0 20.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 20.173 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 20.173 * [backup-simplify]: Simplify 0 into 0 20.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.174 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.175 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 20.175 * [backup-simplify]: Simplify (- 0) into 0 20.175 * [backup-simplify]: Simplify (+ 0 0) into 0 20.176 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) 0) (+ (* 0 0) (* 0 PI)))) into 0 20.177 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 (- (* 1.0 (/ PI a)))) (* 0 (* 1.0 PI))))) into 0 20.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))))) into 0 20.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.179 * [backup-simplify]: Simplify (+ 0 0) into 0 20.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)) (* (- (* 2.0 PI)) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI a)) 20.180 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI a))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 1.0 (/ PI a)) 20.180 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 20.180 * [taylor]: Taking taylor expansion of 1.0 in a 20.181 * [backup-simplify]: Simplify 1.0 into 1.0 20.181 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.181 * [taylor]: Taking taylor expansion of PI in a 20.181 * [backup-simplify]: Simplify PI into PI 20.181 * [taylor]: Taking taylor expansion of a in a 20.181 * [backup-simplify]: Simplify 0 into 0 20.181 * [backup-simplify]: Simplify 1 into 1 20.181 * [backup-simplify]: Simplify (/ PI 1) into PI 20.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.183 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.183 * [backup-simplify]: Simplify 0 into 0 20.183 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.183 * [backup-simplify]: Simplify (- 0) into 0 20.183 * [backup-simplify]: Simplify 0 into 0 20.184 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 20.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 20.185 * [backup-simplify]: Simplify 0 into 0 20.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.186 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.187 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 20.187 * [backup-simplify]: Simplify (- 0) into 0 20.187 * [backup-simplify]: Simplify (+ 0 0) into 0 20.188 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 20.189 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (* 1.0 (/ PI a)))) (* 0 (* 1.0 PI)))))) into 0 20.191 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))))) into 0 20.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.191 * [backup-simplify]: Simplify (+ 0 0) into 0 20.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)) (* (- (* 2.0 PI)) (/ 0 1)) (* (* 2.0 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI (pow a 2)))) 20.194 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow a 2))))) (+ (* 0 (* 2.0 (/ PI a))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* a PI)))))) into (- (* 1.0 (/ PI (pow a 2)))) 20.194 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 20.194 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 20.194 * [taylor]: Taking taylor expansion of 1.0 in a 20.194 * [backup-simplify]: Simplify 1.0 into 1.0 20.194 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 20.194 * [taylor]: Taking taylor expansion of PI in a 20.194 * [backup-simplify]: Simplify PI into PI 20.194 * [taylor]: Taking taylor expansion of (pow a 2) in a 20.194 * [taylor]: Taking taylor expansion of a in a 20.194 * [backup-simplify]: Simplify 0 into 0 20.194 * [backup-simplify]: Simplify 1 into 1 20.194 * [backup-simplify]: Simplify (* 1 1) into 1 20.194 * [backup-simplify]: Simplify (/ PI 1) into PI 20.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.198 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.199 * [backup-simplify]: Simplify (- 0) into 0 20.199 * [backup-simplify]: Simplify 0 into 0 20.199 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (* a b))) 20.200 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) 1.0) (- (* 1.0 (/ 1 (- b))) (* (/ 1 (- a)) 1.0))) (* (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (+ (/ 1 a) (/ 1 b)))) 20.200 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 20.200 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (+ (/ 1 a) (/ 1 b)))) in a 20.200 * [taylor]: Taking taylor expansion of -0.5 in a 20.200 * [backup-simplify]: Simplify -0.5 into -0.5 20.200 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (+ (/ 1 a) (/ 1 b))) in a 20.200 * [taylor]: Taking taylor expansion of (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) in a 20.200 * [taylor]: Taking taylor expansion of a in a 20.200 * [backup-simplify]: Simplify 0 into 0 20.200 * [backup-simplify]: Simplify 1 into 1 20.200 * [taylor]: Taking taylor expansion of (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))))) in a 20.200 * [taylor]: Taking taylor expansion of PI in a 20.200 * [backup-simplify]: Simplify PI into PI 20.200 * [taylor]: Taking taylor expansion of (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in a 20.200 * [taylor]: Taking taylor expansion of b in a 20.200 * [backup-simplify]: Simplify b into b 20.200 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 20.200 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.200 * [taylor]: Taking taylor expansion of 1.0 in a 20.200 * [backup-simplify]: Simplify 1.0 into 1.0 20.200 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.200 * [taylor]: Taking taylor expansion of a in a 20.200 * [backup-simplify]: Simplify 0 into 0 20.200 * [backup-simplify]: Simplify 1 into 1 20.200 * [backup-simplify]: Simplify (/ 1 1) into 1 20.200 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.200 * [taylor]: Taking taylor expansion of 1.0 in a 20.200 * [backup-simplify]: Simplify 1.0 into 1.0 20.200 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.200 * [taylor]: Taking taylor expansion of b in a 20.200 * [backup-simplify]: Simplify b into b 20.200 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.201 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.201 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.201 * [taylor]: Taking taylor expansion of a in a 20.201 * [backup-simplify]: Simplify 0 into 0 20.201 * [backup-simplify]: Simplify 1 into 1 20.201 * [backup-simplify]: Simplify (/ 1 1) into 1 20.201 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.201 * [taylor]: Taking taylor expansion of b in a 20.201 * [backup-simplify]: Simplify b into b 20.201 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.202 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.202 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.202 * [backup-simplify]: Simplify (* b 1.0) into (* 1.0 b) 20.202 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 20.202 * [backup-simplify]: Simplify (* 0 (* 1.0 (* b PI))) into 0 20.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.204 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 20.204 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 20.204 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 20.205 * [backup-simplify]: Simplify (+ (* b (- (* 1.0 (/ 1 b)))) (* 0 1.0)) into (- 1.0) 20.206 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 20.207 * [backup-simplify]: Simplify (+ (* 0 (- (* 1.0 PI))) (* 1 (* 1.0 (* b PI)))) into (* 1.0 (* PI b)) 20.207 * [backup-simplify]: Simplify (+ 1 0) into 1 20.207 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 20.207 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (+ (/ 1 a) (/ 1 b)))) in b 20.207 * [taylor]: Taking taylor expansion of -0.5 in b 20.207 * [backup-simplify]: Simplify -0.5 into -0.5 20.207 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (+ (/ 1 a) (/ 1 b))) in b 20.207 * [taylor]: Taking taylor expansion of (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) in b 20.207 * [taylor]: Taking taylor expansion of a in b 20.207 * [backup-simplify]: Simplify a into a 20.208 * [taylor]: Taking taylor expansion of (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))))) in b 20.208 * [taylor]: Taking taylor expansion of PI in b 20.208 * [backup-simplify]: Simplify PI into PI 20.208 * [taylor]: Taking taylor expansion of (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in b 20.208 * [taylor]: Taking taylor expansion of b in b 20.208 * [backup-simplify]: Simplify 0 into 0 20.208 * [backup-simplify]: Simplify 1 into 1 20.208 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 20.208 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.208 * [taylor]: Taking taylor expansion of 1.0 in b 20.208 * [backup-simplify]: Simplify 1.0 into 1.0 20.208 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.208 * [taylor]: Taking taylor expansion of a in b 20.208 * [backup-simplify]: Simplify a into a 20.208 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.208 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.208 * [taylor]: Taking taylor expansion of 1.0 in b 20.208 * [backup-simplify]: Simplify 1.0 into 1.0 20.208 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.208 * [taylor]: Taking taylor expansion of b in b 20.208 * [backup-simplify]: Simplify 0 into 0 20.208 * [backup-simplify]: Simplify 1 into 1 20.209 * [backup-simplify]: Simplify (/ 1 1) into 1 20.209 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.209 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.209 * [taylor]: Taking taylor expansion of a in b 20.209 * [backup-simplify]: Simplify a into a 20.209 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.209 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.209 * [taylor]: Taking taylor expansion of b in b 20.209 * [backup-simplify]: Simplify 0 into 0 20.209 * [backup-simplify]: Simplify 1 into 1 20.209 * [backup-simplify]: Simplify (/ 1 1) into 1 20.210 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.210 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.211 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.212 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 20.212 * [backup-simplify]: Simplify (* PI 0) into 0 20.212 * [backup-simplify]: Simplify (* a 0) into 0 20.212 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 20.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.214 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.214 * [backup-simplify]: Simplify (- 0) into 0 20.214 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 20.215 * [backup-simplify]: Simplify (+ (* 0 (* 1.0 (/ 1 a))) (* 1 (- 1.0))) into (- 1.0) 20.218 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 0)) into (- (* 1.0 PI)) 20.219 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 PI))) (* 0 0)) into (- (* 1.0 (* a PI))) 20.220 * [backup-simplify]: Simplify (+ 0 1) into 1 20.220 * [backup-simplify]: Simplify (/ (- (* 1.0 (* a PI))) 1) into (* -1.0 (* a PI)) 20.220 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (+ (/ 1 a) (/ 1 b)))) in b 20.220 * [taylor]: Taking taylor expansion of -0.5 in b 20.220 * [backup-simplify]: Simplify -0.5 into -0.5 20.220 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) (+ (/ 1 a) (/ 1 b))) in b 20.220 * [taylor]: Taking taylor expansion of (* a (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))))) in b 20.220 * [taylor]: Taking taylor expansion of a in b 20.220 * [backup-simplify]: Simplify a into a 20.220 * [taylor]: Taking taylor expansion of (* PI (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))))) in b 20.220 * [taylor]: Taking taylor expansion of PI in b 20.220 * [backup-simplify]: Simplify PI into PI 20.220 * [taylor]: Taking taylor expansion of (* b (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in b 20.220 * [taylor]: Taking taylor expansion of b in b 20.220 * [backup-simplify]: Simplify 0 into 0 20.220 * [backup-simplify]: Simplify 1 into 1 20.220 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 20.220 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.220 * [taylor]: Taking taylor expansion of 1.0 in b 20.220 * [backup-simplify]: Simplify 1.0 into 1.0 20.220 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.220 * [taylor]: Taking taylor expansion of a in b 20.220 * [backup-simplify]: Simplify a into a 20.221 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.221 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.221 * [taylor]: Taking taylor expansion of 1.0 in b 20.221 * [backup-simplify]: Simplify 1.0 into 1.0 20.221 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.221 * [taylor]: Taking taylor expansion of b in b 20.221 * [backup-simplify]: Simplify 0 into 0 20.221 * [backup-simplify]: Simplify 1 into 1 20.221 * [backup-simplify]: Simplify (/ 1 1) into 1 20.221 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.221 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.221 * [taylor]: Taking taylor expansion of a in b 20.221 * [backup-simplify]: Simplify a into a 20.221 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.221 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.221 * [taylor]: Taking taylor expansion of b in b 20.221 * [backup-simplify]: Simplify 0 into 0 20.221 * [backup-simplify]: Simplify 1 into 1 20.222 * [backup-simplify]: Simplify (/ 1 1) into 1 20.222 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.223 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.224 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.224 * [backup-simplify]: Simplify (* 0 (- 1.0)) into 0 20.224 * [backup-simplify]: Simplify (* PI 0) into 0 20.225 * [backup-simplify]: Simplify (* a 0) into 0 20.225 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 20.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.226 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.227 * [backup-simplify]: Simplify (- 0) into 0 20.227 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 20.228 * [backup-simplify]: Simplify (+ (* 0 (* 1.0 (/ 1 a))) (* 1 (- 1.0))) into (- 1.0) 20.230 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 0)) into (- (* 1.0 PI)) 20.231 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 PI))) (* 0 0)) into (- (* 1.0 (* a PI))) 20.232 * [backup-simplify]: Simplify (+ 0 1) into 1 20.232 * [backup-simplify]: Simplify (/ (- (* 1.0 (* a PI))) 1) into (* -1.0 (* a PI)) 20.232 * [backup-simplify]: Simplify (* -0.5 (* -1.0 (* a PI))) into (* 0.5 (* a PI)) 20.232 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 20.232 * [taylor]: Taking taylor expansion of 0.5 in a 20.232 * [backup-simplify]: Simplify 0.5 into 0.5 20.232 * [taylor]: Taking taylor expansion of (* a PI) in a 20.232 * [taylor]: Taking taylor expansion of a in a 20.232 * [backup-simplify]: Simplify 0 into 0 20.232 * [backup-simplify]: Simplify 1 into 1 20.232 * [taylor]: Taking taylor expansion of PI in a 20.232 * [backup-simplify]: Simplify PI into PI 20.234 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 20.234 * [backup-simplify]: Simplify (* 0 PI) into 0 20.236 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 20.237 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.237 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 20.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.240 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 20.240 * [backup-simplify]: Simplify (- 0) into 0 20.249 * [backup-simplify]: Simplify (+ 0 0) into 0 20.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1.0 (/ 1 a))) (* 0 (- 1.0)))) into (* 1.0 (/ 1 a)) 20.251 * [backup-simplify]: Simplify (+ (* PI (* 1.0 (/ 1 a))) (+ (* 0 (- 1.0)) (* 0 0))) into (* 1.0 (/ PI a)) 20.252 * [backup-simplify]: Simplify (+ (* a (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 0))) into (* 1.0 PI) 20.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.253 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 20.255 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* a PI)) (/ (/ 1 a) 1)))) into (* 2.0 PI) 20.256 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 PI)) (* 0 (* -1.0 (* a PI)))) into (- (* 1.0 PI)) 20.256 * [taylor]: Taking taylor expansion of (- (* 1.0 PI)) in a 20.256 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 20.256 * [taylor]: Taking taylor expansion of 1.0 in a 20.256 * [backup-simplify]: Simplify 1.0 into 1.0 20.256 * [taylor]: Taking taylor expansion of PI in a 20.256 * [backup-simplify]: Simplify PI into PI 20.257 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 20.257 * [backup-simplify]: Simplify (- 0) into 0 20.257 * [backup-simplify]: Simplify 0 into 0 20.259 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 20.260 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 20.260 * [backup-simplify]: Simplify 0 into 0 20.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.261 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 20.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.263 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.263 * [backup-simplify]: Simplify (- 0) into 0 20.264 * [backup-simplify]: Simplify (+ 0 0) into 0 20.265 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (* 1.0 (/ 1 a))) (* 0 (- 1.0))))) into 0 20.266 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (* 1.0 (/ 1 a))) (+ (* 0 (- 1.0)) (* 0 0)))) into 0 20.268 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 0)))) into 0 20.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.269 * [backup-simplify]: Simplify (+ 0 0) into 0 20.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)) (* (* 2.0 PI) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI a))) 20.272 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 (/ PI a)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* a PI))))) into (* 1.0 (/ PI a)) 20.272 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 20.272 * [taylor]: Taking taylor expansion of 1.0 in a 20.272 * [backup-simplify]: Simplify 1.0 into 1.0 20.272 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.272 * [taylor]: Taking taylor expansion of PI in a 20.272 * [backup-simplify]: Simplify PI into PI 20.272 * [taylor]: Taking taylor expansion of a in a 20.272 * [backup-simplify]: Simplify 0 into 0 20.272 * [backup-simplify]: Simplify 1 into 1 20.272 * [backup-simplify]: Simplify (/ PI 1) into PI 20.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.276 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.276 * [backup-simplify]: Simplify 0 into 0 20.277 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.277 * [backup-simplify]: Simplify (- 0) into 0 20.277 * [backup-simplify]: Simplify 0 into 0 20.278 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 20.280 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 20.280 * [backup-simplify]: Simplify 0 into 0 20.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.281 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 20.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.284 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.284 * [backup-simplify]: Simplify (- 0) into 0 20.284 * [backup-simplify]: Simplify (+ 0 0) into 0 20.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (* 1.0 (/ 1 a))) (* 0 (- 1.0)))))) into 0 20.288 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (* 1.0 (/ 1 a))) (+ (* 0 (- 1.0)) (* 0 0))))) into 0 20.289 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 0))))) into 0 20.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.291 * [backup-simplify]: Simplify (+ 0 0) into 0 20.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)) (* (* 2.0 PI) (/ 0 1)) (* (- (* 2.0 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI (pow a 2))) 20.294 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 (/ PI (pow a 2)))) (+ (* 0 (- (* 2.0 (/ PI a)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* a PI)))))) into (- (* 1.0 (/ PI (pow a 2)))) 20.294 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 20.294 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 20.294 * [taylor]: Taking taylor expansion of 1.0 in a 20.294 * [backup-simplify]: Simplify 1.0 into 1.0 20.294 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 20.294 * [taylor]: Taking taylor expansion of PI in a 20.294 * [backup-simplify]: Simplify PI into PI 20.294 * [taylor]: Taking taylor expansion of (pow a 2) in a 20.295 * [taylor]: Taking taylor expansion of a in a 20.295 * [backup-simplify]: Simplify 0 into 0 20.295 * [backup-simplify]: Simplify 1 into 1 20.295 * [backup-simplify]: Simplify (* 1 1) into 1 20.295 * [backup-simplify]: Simplify (/ PI 1) into PI 20.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.303 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.303 * [backup-simplify]: Simplify (- 0) into 0 20.303 * [backup-simplify]: Simplify 0 into 0 20.304 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 (- a)) (/ 1 (- b)))) into (* 0.5 (/ PI (* a b))) 20.304 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 20.305 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) into (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b))) 20.305 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b))) in (b a) around 0 20.305 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b))) in a 20.305 * [taylor]: Taking taylor expansion of 0.5 in a 20.305 * [backup-simplify]: Simplify 0.5 into 0.5 20.305 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b)) in a 20.305 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 20.305 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 20.305 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.305 * [taylor]: Taking taylor expansion of 1.0 in a 20.305 * [backup-simplify]: Simplify 1.0 into 1.0 20.305 * [taylor]: Taking taylor expansion of b in a 20.305 * [backup-simplify]: Simplify b into b 20.305 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.305 * [taylor]: Taking taylor expansion of 1.0 in a 20.305 * [backup-simplify]: Simplify 1.0 into 1.0 20.305 * [taylor]: Taking taylor expansion of a in a 20.305 * [backup-simplify]: Simplify 0 into 0 20.305 * [backup-simplify]: Simplify 1 into 1 20.305 * [taylor]: Taking taylor expansion of PI in a 20.305 * [backup-simplify]: Simplify PI into PI 20.305 * [taylor]: Taking taylor expansion of (+ a b) in a 20.305 * [taylor]: Taking taylor expansion of a in a 20.305 * [backup-simplify]: Simplify 0 into 0 20.305 * [backup-simplify]: Simplify 1 into 1 20.306 * [taylor]: Taking taylor expansion of b in a 20.306 * [backup-simplify]: Simplify b into b 20.306 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.306 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.306 * [backup-simplify]: Simplify (- 0) into 0 20.307 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 20.307 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 20.307 * [backup-simplify]: Simplify (+ 0 b) into b 20.307 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) b) into (* 1.0 PI) 20.307 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b))) in b 20.307 * [taylor]: Taking taylor expansion of 0.5 in b 20.307 * [backup-simplify]: Simplify 0.5 into 0.5 20.307 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b)) in b 20.307 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 20.307 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 20.307 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.307 * [taylor]: Taking taylor expansion of 1.0 in b 20.307 * [backup-simplify]: Simplify 1.0 into 1.0 20.307 * [taylor]: Taking taylor expansion of b in b 20.307 * [backup-simplify]: Simplify 0 into 0 20.307 * [backup-simplify]: Simplify 1 into 1 20.307 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.307 * [taylor]: Taking taylor expansion of 1.0 in b 20.307 * [backup-simplify]: Simplify 1.0 into 1.0 20.307 * [taylor]: Taking taylor expansion of a in b 20.307 * [backup-simplify]: Simplify a into a 20.307 * [taylor]: Taking taylor expansion of PI in b 20.307 * [backup-simplify]: Simplify PI into PI 20.307 * [taylor]: Taking taylor expansion of (+ a b) in b 20.307 * [taylor]: Taking taylor expansion of a in b 20.308 * [backup-simplify]: Simplify a into a 20.308 * [taylor]: Taking taylor expansion of b in b 20.308 * [backup-simplify]: Simplify 0 into 0 20.308 * [backup-simplify]: Simplify 1 into 1 20.308 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.308 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 20.308 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 20.308 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 20.308 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 20.309 * [backup-simplify]: Simplify (+ a 0) into a 20.309 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) a) into (* -1.0 PI) 20.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b))) in b 20.309 * [taylor]: Taking taylor expansion of 0.5 in b 20.309 * [backup-simplify]: Simplify 0.5 into 0.5 20.309 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ a b)) in b 20.309 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 20.309 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 20.309 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.309 * [taylor]: Taking taylor expansion of 1.0 in b 20.309 * [backup-simplify]: Simplify 1.0 into 1.0 20.309 * [taylor]: Taking taylor expansion of b in b 20.309 * [backup-simplify]: Simplify 0 into 0 20.309 * [backup-simplify]: Simplify 1 into 1 20.309 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.309 * [taylor]: Taking taylor expansion of 1.0 in b 20.309 * [backup-simplify]: Simplify 1.0 into 1.0 20.309 * [taylor]: Taking taylor expansion of a in b 20.309 * [backup-simplify]: Simplify a into a 20.309 * [taylor]: Taking taylor expansion of PI in b 20.309 * [backup-simplify]: Simplify PI into PI 20.309 * [taylor]: Taking taylor expansion of (+ a b) in b 20.309 * [taylor]: Taking taylor expansion of a in b 20.309 * [backup-simplify]: Simplify a into a 20.309 * [taylor]: Taking taylor expansion of b in b 20.309 * [backup-simplify]: Simplify 0 into 0 20.309 * [backup-simplify]: Simplify 1 into 1 20.310 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.310 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 20.310 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 20.310 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 20.310 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 20.310 * [backup-simplify]: Simplify (+ a 0) into a 20.310 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) a) into (* -1.0 PI) 20.312 * [backup-simplify]: Simplify (* 0.5 (* -1.0 PI)) into (* -0.5 PI) 20.312 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 20.312 * [taylor]: Taking taylor expansion of -0.5 in a 20.312 * [backup-simplify]: Simplify -0.5 into -0.5 20.312 * [taylor]: Taking taylor expansion of PI in a 20.312 * [backup-simplify]: Simplify PI into PI 20.312 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 20.313 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 20.314 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.315 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 20.315 * [backup-simplify]: Simplify (- 0) into 0 20.316 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.316 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 20.317 * [backup-simplify]: Simplify (+ 0 1) into 1 20.318 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) a) (+ (* (* -1.0 PI) (/ 1 a)))) into (* 2.0 (/ PI a)) 20.319 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI))) into (* 1.0 (/ PI a)) 20.319 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 20.319 * [taylor]: Taking taylor expansion of 1.0 in a 20.319 * [backup-simplify]: Simplify 1.0 into 1.0 20.319 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.319 * [taylor]: Taking taylor expansion of PI in a 20.319 * [backup-simplify]: Simplify PI into PI 20.319 * [taylor]: Taking taylor expansion of a in a 20.319 * [backup-simplify]: Simplify 0 into 0 20.319 * [backup-simplify]: Simplify 1 into 1 20.320 * [backup-simplify]: Simplify (/ PI 1) into PI 20.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.321 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 20.321 * [backup-simplify]: Simplify 0 into 0 20.322 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 20.322 * [backup-simplify]: Simplify 0 into 0 20.323 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.324 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 20.324 * [backup-simplify]: Simplify (- 0) into 0 20.325 * [backup-simplify]: Simplify (+ 0 0) into 0 20.326 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 20.326 * [backup-simplify]: Simplify (+ 0 0) into 0 20.327 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1.0 PI) (/ 0 a)) (* (* 2.0 (/ PI a)) (/ 1 a)))) into (- (* 2.0 (/ PI (pow a 2)))) 20.328 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow a 2))))) (+ (* 0 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI)))) into (- (* 1.0 (/ PI (pow a 2)))) 20.328 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 20.329 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 20.329 * [taylor]: Taking taylor expansion of 1.0 in a 20.329 * [backup-simplify]: Simplify 1.0 into 1.0 20.329 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 20.329 * [taylor]: Taking taylor expansion of PI in a 20.329 * [backup-simplify]: Simplify PI into PI 20.329 * [taylor]: Taking taylor expansion of (pow a 2) in a 20.329 * [taylor]: Taking taylor expansion of a in a 20.329 * [backup-simplify]: Simplify 0 into 0 20.329 * [backup-simplify]: Simplify 1 into 1 20.329 * [backup-simplify]: Simplify (* 1 1) into 1 20.330 * [backup-simplify]: Simplify (/ PI 1) into PI 20.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.334 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.335 * [backup-simplify]: Simplify (- 0) into 0 20.335 * [backup-simplify]: Simplify 0 into 0 20.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.337 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.337 * [backup-simplify]: Simplify 0 into 0 20.338 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.338 * [backup-simplify]: Simplify 0 into 0 20.339 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.341 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 20.341 * [backup-simplify]: Simplify (- 0) into 0 20.341 * [backup-simplify]: Simplify (+ 0 0) into 0 20.342 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.343 * [backup-simplify]: Simplify (+ 0 0) into 0 20.344 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1.0 PI) (/ 0 a)) (* (* 2.0 (/ PI a)) (/ 0 a)) (* (- (* 2.0 (/ PI (pow a 2)))) (/ 1 a)))) into (* 2.0 (/ PI (pow a 3))) 20.345 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow a 3)))) (+ (* 0 (- (* 2.0 (/ PI (pow a 2))))) (+ (* 0 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI))))) into (* 1.0 (/ PI (pow a 3))) 20.345 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 20.345 * [taylor]: Taking taylor expansion of 1.0 in a 20.345 * [backup-simplify]: Simplify 1.0 into 1.0 20.345 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 20.345 * [taylor]: Taking taylor expansion of PI in a 20.346 * [backup-simplify]: Simplify PI into PI 20.346 * [taylor]: Taking taylor expansion of (pow a 3) in a 20.346 * [taylor]: Taking taylor expansion of a in a 20.346 * [backup-simplify]: Simplify 0 into 0 20.346 * [backup-simplify]: Simplify 1 into 1 20.346 * [backup-simplify]: Simplify (* 1 1) into 1 20.346 * [backup-simplify]: Simplify (* 1 1) into 1 20.347 * [backup-simplify]: Simplify (/ PI 1) into PI 20.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.356 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.356 * [backup-simplify]: Simplify 0 into 0 20.356 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 20.357 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) 1.0) (- (* 1.0 (/ 1 b)) (* (/ 1 a) 1.0))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b)))) 20.357 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 20.358 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b)))) in a 20.358 * [taylor]: Taking taylor expansion of 0.5 in a 20.358 * [backup-simplify]: Simplify 0.5 into 0.5 20.358 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b))) in a 20.358 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in a 20.358 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in a 20.358 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.358 * [taylor]: Taking taylor expansion of 1.0 in a 20.358 * [backup-simplify]: Simplify 1.0 into 1.0 20.358 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.358 * [taylor]: Taking taylor expansion of b in a 20.358 * [backup-simplify]: Simplify b into b 20.358 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.358 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.358 * [taylor]: Taking taylor expansion of 1.0 in a 20.358 * [backup-simplify]: Simplify 1.0 into 1.0 20.358 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.358 * [taylor]: Taking taylor expansion of a in a 20.358 * [backup-simplify]: Simplify 0 into 0 20.358 * [backup-simplify]: Simplify 1 into 1 20.358 * [backup-simplify]: Simplify (/ 1 1) into 1 20.359 * [taylor]: Taking taylor expansion of PI in a 20.359 * [backup-simplify]: Simplify PI into PI 20.359 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.359 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.359 * [taylor]: Taking taylor expansion of a in a 20.359 * [backup-simplify]: Simplify 0 into 0 20.359 * [backup-simplify]: Simplify 1 into 1 20.359 * [backup-simplify]: Simplify (/ 1 1) into 1 20.359 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.359 * [taylor]: Taking taylor expansion of b in a 20.359 * [backup-simplify]: Simplify b into b 20.359 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.360 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.360 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.361 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.362 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 20.363 * [backup-simplify]: Simplify (+ 1 0) into 1 20.367 * [backup-simplify]: Simplify (/ (* -1.0 PI) 1) into (* -1.0 PI) 20.367 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b)))) in b 20.367 * [taylor]: Taking taylor expansion of 0.5 in b 20.367 * [backup-simplify]: Simplify 0.5 into 0.5 20.368 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b))) in b 20.368 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in b 20.368 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in b 20.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.368 * [taylor]: Taking taylor expansion of 1.0 in b 20.368 * [backup-simplify]: Simplify 1.0 into 1.0 20.368 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.368 * [taylor]: Taking taylor expansion of b in b 20.368 * [backup-simplify]: Simplify 0 into 0 20.368 * [backup-simplify]: Simplify 1 into 1 20.368 * [backup-simplify]: Simplify (/ 1 1) into 1 20.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.368 * [taylor]: Taking taylor expansion of 1.0 in b 20.368 * [backup-simplify]: Simplify 1.0 into 1.0 20.368 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.369 * [taylor]: Taking taylor expansion of a in b 20.369 * [backup-simplify]: Simplify a into a 20.369 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.369 * [taylor]: Taking taylor expansion of PI in b 20.369 * [backup-simplify]: Simplify PI into PI 20.369 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.369 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.369 * [taylor]: Taking taylor expansion of a in b 20.369 * [backup-simplify]: Simplify a into a 20.369 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.369 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.369 * [taylor]: Taking taylor expansion of b in b 20.369 * [backup-simplify]: Simplify 0 into 0 20.369 * [backup-simplify]: Simplify 1 into 1 20.370 * [backup-simplify]: Simplify (/ 1 1) into 1 20.370 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.371 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.371 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 20.372 * [backup-simplify]: Simplify (+ 0 1) into 1 20.373 * [backup-simplify]: Simplify (/ (* 1.0 PI) 1) into (* 1.0 PI) 20.373 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b)))) in b 20.373 * [taylor]: Taking taylor expansion of 0.5 in b 20.373 * [backup-simplify]: Simplify 0.5 into 0.5 20.373 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) (+ (/ 1 a) (/ 1 b))) in b 20.373 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) PI) in b 20.373 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in b 20.373 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.373 * [taylor]: Taking taylor expansion of 1.0 in b 20.373 * [backup-simplify]: Simplify 1.0 into 1.0 20.373 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.373 * [taylor]: Taking taylor expansion of b in b 20.373 * [backup-simplify]: Simplify 0 into 0 20.373 * [backup-simplify]: Simplify 1 into 1 20.373 * [backup-simplify]: Simplify (/ 1 1) into 1 20.373 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.373 * [taylor]: Taking taylor expansion of 1.0 in b 20.373 * [backup-simplify]: Simplify 1.0 into 1.0 20.374 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.374 * [taylor]: Taking taylor expansion of a in b 20.374 * [backup-simplify]: Simplify a into a 20.374 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.374 * [taylor]: Taking taylor expansion of PI in b 20.374 * [backup-simplify]: Simplify PI into PI 20.374 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.374 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.374 * [taylor]: Taking taylor expansion of a in b 20.374 * [backup-simplify]: Simplify a into a 20.374 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.374 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.374 * [taylor]: Taking taylor expansion of b in b 20.374 * [backup-simplify]: Simplify 0 into 0 20.374 * [backup-simplify]: Simplify 1 into 1 20.374 * [backup-simplify]: Simplify (/ 1 1) into 1 20.375 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.375 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.376 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 20.376 * [backup-simplify]: Simplify (+ 0 1) into 1 20.377 * [backup-simplify]: Simplify (/ (* 1.0 PI) 1) into (* 1.0 PI) 20.378 * [backup-simplify]: Simplify (* 0.5 (* 1.0 PI)) into (* 0.5 PI) 20.378 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 20.378 * [taylor]: Taking taylor expansion of 0.5 in a 20.378 * [backup-simplify]: Simplify 0.5 into 0.5 20.378 * [taylor]: Taking taylor expansion of PI in a 20.378 * [backup-simplify]: Simplify PI into PI 20.379 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.379 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.381 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.381 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 20.381 * [backup-simplify]: Simplify (- (/ 1.0 a)) into (- (* 1.0 (/ 1 a))) 20.381 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 a)))) into (- (* 1.0 (/ 1 a))) 20.382 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 a))) PI)) into (- (* 1.0 (/ PI a))) 20.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.383 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 20.383 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI a))) 1) (+ (* (* 1.0 PI) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI a))) 20.384 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI a)))) (* 0 (* 1.0 PI))) into (- (* 1.0 (/ PI a))) 20.384 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI a))) in a 20.384 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 20.384 * [taylor]: Taking taylor expansion of 1.0 in a 20.384 * [backup-simplify]: Simplify 1.0 into 1.0 20.384 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.384 * [taylor]: Taking taylor expansion of PI in a 20.384 * [backup-simplify]: Simplify PI into PI 20.384 * [taylor]: Taking taylor expansion of a in a 20.384 * [backup-simplify]: Simplify 0 into 0 20.385 * [backup-simplify]: Simplify 1 into 1 20.385 * [backup-simplify]: Simplify (/ PI 1) into PI 20.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.387 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 20.387 * [backup-simplify]: Simplify (- 0) into 0 20.387 * [backup-simplify]: Simplify 0 into 0 20.388 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 20.388 * [backup-simplify]: Simplify 0 into 0 20.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.390 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 20.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.390 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 20.391 * [backup-simplify]: Simplify (- 0) into 0 20.391 * [backup-simplify]: Simplify (+ 0 0) into 0 20.392 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) 0) (* 0 PI))) into 0 20.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.393 * [backup-simplify]: Simplify (+ 0 0) into 0 20.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 PI) (/ 0 1)) (* (- (* 2.0 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI (pow a 2))) 20.396 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow a 2)))) (+ (* 0 (- (* 2.0 (/ PI a)))) (* 0 (* 1.0 PI)))) into (* 1.0 (/ PI (pow a 2))) 20.396 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 20.396 * [taylor]: Taking taylor expansion of 1.0 in a 20.396 * [backup-simplify]: Simplify 1.0 into 1.0 20.396 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 20.396 * [taylor]: Taking taylor expansion of PI in a 20.396 * [backup-simplify]: Simplify PI into PI 20.396 * [taylor]: Taking taylor expansion of (pow a 2) in a 20.396 * [taylor]: Taking taylor expansion of a in a 20.396 * [backup-simplify]: Simplify 0 into 0 20.396 * [backup-simplify]: Simplify 1 into 1 20.396 * [backup-simplify]: Simplify (* 1 1) into 1 20.397 * [backup-simplify]: Simplify (/ PI 1) into PI 20.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.409 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.409 * [backup-simplify]: Simplify 0 into 0 20.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.412 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.412 * [backup-simplify]: Simplify (- 0) into 0 20.412 * [backup-simplify]: Simplify 0 into 0 20.413 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.413 * [backup-simplify]: Simplify 0 into 0 20.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.415 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.416 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 20.417 * [backup-simplify]: Simplify (- 0) into 0 20.417 * [backup-simplify]: Simplify (+ 0 0) into 0 20.418 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) 0) (+ (* 0 0) (* 0 PI)))) into 0 20.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.420 * [backup-simplify]: Simplify (+ 0 0) into 0 20.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 PI) (/ 0 1)) (* (- (* 2.0 (/ PI a))) (/ 0 1)) (* (* 2.0 (/ PI (pow a 2))) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI (pow a 3)))) 20.423 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow a 3))))) (+ (* 0 (* 2.0 (/ PI (pow a 2)))) (+ (* 0 (- (* 2.0 (/ PI a)))) (* 0 (* 1.0 PI))))) into (- (* 1.0 (/ PI (pow a 3)))) 20.423 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 20.423 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 20.423 * [taylor]: Taking taylor expansion of 1.0 in a 20.423 * [backup-simplify]: Simplify 1.0 into 1.0 20.423 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 20.423 * [taylor]: Taking taylor expansion of PI in a 20.423 * [backup-simplify]: Simplify PI into PI 20.423 * [taylor]: Taking taylor expansion of (pow a 3) in a 20.423 * [taylor]: Taking taylor expansion of a in a 20.423 * [backup-simplify]: Simplify 0 into 0 20.423 * [backup-simplify]: Simplify 1 into 1 20.424 * [backup-simplify]: Simplify (* 1 1) into 1 20.424 * [backup-simplify]: Simplify (* 1 1) into 1 20.424 * [backup-simplify]: Simplify (/ PI 1) into PI 20.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.434 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.435 * [backup-simplify]: Simplify (- 0) into 0 20.435 * [backup-simplify]: Simplify 0 into 0 20.435 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.436 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) 1.0) (- (* 1.0 (/ 1 (- b))) (* (/ 1 (- a)) 1.0))) into (* -0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b)))) 20.436 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 20.436 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b)))) in a 20.436 * [taylor]: Taking taylor expansion of -0.5 in a 20.436 * [backup-simplify]: Simplify -0.5 into -0.5 20.436 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b))) in a 20.436 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 20.436 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 20.436 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.436 * [taylor]: Taking taylor expansion of 1.0 in a 20.436 * [backup-simplify]: Simplify 1.0 into 1.0 20.436 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.436 * [taylor]: Taking taylor expansion of a in a 20.436 * [backup-simplify]: Simplify 0 into 0 20.436 * [backup-simplify]: Simplify 1 into 1 20.437 * [backup-simplify]: Simplify (/ 1 1) into 1 20.437 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.437 * [taylor]: Taking taylor expansion of 1.0 in a 20.437 * [backup-simplify]: Simplify 1.0 into 1.0 20.437 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.437 * [taylor]: Taking taylor expansion of b in a 20.437 * [backup-simplify]: Simplify b into b 20.437 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.437 * [taylor]: Taking taylor expansion of PI in a 20.437 * [backup-simplify]: Simplify PI into PI 20.437 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.437 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.437 * [taylor]: Taking taylor expansion of a in a 20.437 * [backup-simplify]: Simplify 0 into 0 20.437 * [backup-simplify]: Simplify 1 into 1 20.438 * [backup-simplify]: Simplify (/ 1 1) into 1 20.438 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.438 * [taylor]: Taking taylor expansion of b in a 20.438 * [backup-simplify]: Simplify b into b 20.438 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.438 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.439 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.439 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 20.440 * [backup-simplify]: Simplify (+ 1 0) into 1 20.441 * [backup-simplify]: Simplify (/ (* 1.0 PI) 1) into (* 1.0 PI) 20.441 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b)))) in b 20.441 * [taylor]: Taking taylor expansion of -0.5 in b 20.441 * [backup-simplify]: Simplify -0.5 into -0.5 20.441 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b))) in b 20.441 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 20.441 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 20.441 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.441 * [taylor]: Taking taylor expansion of 1.0 in b 20.441 * [backup-simplify]: Simplify 1.0 into 1.0 20.441 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.441 * [taylor]: Taking taylor expansion of a in b 20.441 * [backup-simplify]: Simplify a into a 20.441 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.441 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.441 * [taylor]: Taking taylor expansion of 1.0 in b 20.441 * [backup-simplify]: Simplify 1.0 into 1.0 20.441 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.441 * [taylor]: Taking taylor expansion of b in b 20.441 * [backup-simplify]: Simplify 0 into 0 20.441 * [backup-simplify]: Simplify 1 into 1 20.441 * [backup-simplify]: Simplify (/ 1 1) into 1 20.441 * [taylor]: Taking taylor expansion of PI in b 20.441 * [backup-simplify]: Simplify PI into PI 20.441 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.441 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.441 * [taylor]: Taking taylor expansion of a in b 20.441 * [backup-simplify]: Simplify a into a 20.442 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.442 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.442 * [taylor]: Taking taylor expansion of b in b 20.442 * [backup-simplify]: Simplify 0 into 0 20.442 * [backup-simplify]: Simplify 1 into 1 20.442 * [backup-simplify]: Simplify (/ 1 1) into 1 20.442 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.442 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.443 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.443 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 20.444 * [backup-simplify]: Simplify (+ 0 1) into 1 20.444 * [backup-simplify]: Simplify (/ (* -1.0 PI) 1) into (* -1.0 PI) 20.444 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b)))) in b 20.444 * [taylor]: Taking taylor expansion of -0.5 in b 20.444 * [backup-simplify]: Simplify -0.5 into -0.5 20.444 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ (/ 1 a) (/ 1 b))) in b 20.444 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 20.444 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 20.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.445 * [taylor]: Taking taylor expansion of 1.0 in b 20.445 * [backup-simplify]: Simplify 1.0 into 1.0 20.445 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.445 * [taylor]: Taking taylor expansion of a in b 20.445 * [backup-simplify]: Simplify a into a 20.445 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.445 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.445 * [taylor]: Taking taylor expansion of 1.0 in b 20.445 * [backup-simplify]: Simplify 1.0 into 1.0 20.445 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.445 * [taylor]: Taking taylor expansion of b in b 20.445 * [backup-simplify]: Simplify 0 into 0 20.445 * [backup-simplify]: Simplify 1 into 1 20.445 * [backup-simplify]: Simplify (/ 1 1) into 1 20.445 * [taylor]: Taking taylor expansion of PI in b 20.445 * [backup-simplify]: Simplify PI into PI 20.445 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.445 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.445 * [taylor]: Taking taylor expansion of a in b 20.445 * [backup-simplify]: Simplify a into a 20.445 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.445 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.445 * [taylor]: Taking taylor expansion of b in b 20.445 * [backup-simplify]: Simplify 0 into 0 20.445 * [backup-simplify]: Simplify 1 into 1 20.445 * [backup-simplify]: Simplify (/ 1 1) into 1 20.446 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.446 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.446 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.447 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 20.447 * [backup-simplify]: Simplify (+ 0 1) into 1 20.448 * [backup-simplify]: Simplify (/ (* -1.0 PI) 1) into (* -1.0 PI) 20.449 * [backup-simplify]: Simplify (* -0.5 (* -1.0 PI)) into (* 0.5 PI) 20.449 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 20.449 * [taylor]: Taking taylor expansion of 0.5 in a 20.449 * [backup-simplify]: Simplify 0.5 into 0.5 20.449 * [taylor]: Taking taylor expansion of PI in a 20.449 * [backup-simplify]: Simplify PI into PI 20.449 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.449 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.449 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 20.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.450 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.451 * [backup-simplify]: Simplify (- 0) into 0 20.451 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 20.451 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 20.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.452 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 20.452 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) 1) (+ (* (* -1.0 PI) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI a)) 20.452 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI))) into (- (* 1.0 (/ PI a))) 20.452 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI a))) in a 20.453 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 20.453 * [taylor]: Taking taylor expansion of 1.0 in a 20.453 * [backup-simplify]: Simplify 1.0 into 1.0 20.453 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.453 * [taylor]: Taking taylor expansion of PI in a 20.453 * [backup-simplify]: Simplify PI into PI 20.453 * [taylor]: Taking taylor expansion of a in a 20.453 * [backup-simplify]: Simplify 0 into 0 20.453 * [backup-simplify]: Simplify 1 into 1 20.453 * [backup-simplify]: Simplify (/ PI 1) into PI 20.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.454 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 20.454 * [backup-simplify]: Simplify (- 0) into 0 20.454 * [backup-simplify]: Simplify 0 into 0 20.455 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 20.455 * [backup-simplify]: Simplify 0 into 0 20.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.455 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 20.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.456 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 20.456 * [backup-simplify]: Simplify (- 0) into 0 20.457 * [backup-simplify]: Simplify (+ 0 0) into 0 20.457 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 20.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.458 * [backup-simplify]: Simplify (+ 0 0) into 0 20.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 PI) (/ 0 1)) (* (* 2.0 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI (pow a 2)))) 20.460 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 (/ PI (pow a 2))))) (+ (* 0 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI)))) into (* 1.0 (/ PI (pow a 2))) 20.460 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 20.460 * [taylor]: Taking taylor expansion of 1.0 in a 20.460 * [backup-simplify]: Simplify 1.0 into 1.0 20.460 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 20.460 * [taylor]: Taking taylor expansion of PI in a 20.460 * [backup-simplify]: Simplify PI into PI 20.460 * [taylor]: Taking taylor expansion of (pow a 2) in a 20.460 * [taylor]: Taking taylor expansion of a in a 20.460 * [backup-simplify]: Simplify 0 into 0 20.460 * [backup-simplify]: Simplify 1 into 1 20.460 * [backup-simplify]: Simplify (* 1 1) into 1 20.460 * [backup-simplify]: Simplify (/ PI 1) into PI 20.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.462 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.463 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.463 * [backup-simplify]: Simplify 0 into 0 20.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.464 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.464 * [backup-simplify]: Simplify (- 0) into 0 20.464 * [backup-simplify]: Simplify 0 into 0 20.465 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.465 * [backup-simplify]: Simplify 0 into 0 20.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.466 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 20.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.467 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.467 * [backup-simplify]: Simplify (- 0) into 0 20.467 * [backup-simplify]: Simplify (+ 0 0) into 0 20.468 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 20.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.469 * [backup-simplify]: Simplify (+ 0 0) into 0 20.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 PI) (/ 0 1)) (* (* 2.0 (/ PI a)) (/ 0 1)) (* (- (* 2.0 (/ PI (pow a 2)))) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI (pow a 3))) 20.471 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 (/ PI (pow a 3)))) (+ (* 0 (- (* 2.0 (/ PI (pow a 2))))) (+ (* 0 (* 2.0 (/ PI a))) (* 0 (* -1.0 PI))))) into (- (* 1.0 (/ PI (pow a 3)))) 20.471 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 20.471 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 20.471 * [taylor]: Taking taylor expansion of 1.0 in a 20.471 * [backup-simplify]: Simplify 1.0 into 1.0 20.471 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 20.471 * [taylor]: Taking taylor expansion of PI in a 20.471 * [backup-simplify]: Simplify PI into PI 20.471 * [taylor]: Taking taylor expansion of (pow a 3) in a 20.471 * [taylor]: Taking taylor expansion of a in a 20.471 * [backup-simplify]: Simplify 0 into 0 20.471 * [backup-simplify]: Simplify 1 into 1 20.472 * [backup-simplify]: Simplify (* 1 1) into 1 20.472 * [backup-simplify]: Simplify (* 1 1) into 1 20.472 * [backup-simplify]: Simplify (/ PI 1) into PI 20.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.481 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.481 * [backup-simplify]: Simplify (- 0) into 0 20.481 * [backup-simplify]: Simplify 0 into 0 20.481 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.482 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1) 20.482 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ b a)) into (* 0.5 (/ PI (+ a b))) 20.482 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (b a) around 0 20.482 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 20.482 * [taylor]: Taking taylor expansion of 0.5 in a 20.482 * [backup-simplify]: Simplify 0.5 into 0.5 20.482 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 20.482 * [taylor]: Taking taylor expansion of PI in a 20.482 * [backup-simplify]: Simplify PI into PI 20.482 * [taylor]: Taking taylor expansion of (+ a b) in a 20.482 * [taylor]: Taking taylor expansion of a in a 20.482 * [backup-simplify]: Simplify 0 into 0 20.482 * [backup-simplify]: Simplify 1 into 1 20.482 * [taylor]: Taking taylor expansion of b in a 20.482 * [backup-simplify]: Simplify b into b 20.483 * [backup-simplify]: Simplify (+ 0 b) into b 20.483 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 20.483 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 20.483 * [taylor]: Taking taylor expansion of 0.5 in b 20.483 * [backup-simplify]: Simplify 0.5 into 0.5 20.483 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 20.483 * [taylor]: Taking taylor expansion of PI in b 20.483 * [backup-simplify]: Simplify PI into PI 20.483 * [taylor]: Taking taylor expansion of (+ a b) in b 20.483 * [taylor]: Taking taylor expansion of a in b 20.483 * [backup-simplify]: Simplify a into a 20.483 * [taylor]: Taking taylor expansion of b in b 20.483 * [backup-simplify]: Simplify 0 into 0 20.483 * [backup-simplify]: Simplify 1 into 1 20.483 * [backup-simplify]: Simplify (+ a 0) into a 20.483 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 20.483 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 20.483 * [taylor]: Taking taylor expansion of 0.5 in b 20.483 * [backup-simplify]: Simplify 0.5 into 0.5 20.483 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 20.483 * [taylor]: Taking taylor expansion of PI in b 20.483 * [backup-simplify]: Simplify PI into PI 20.483 * [taylor]: Taking taylor expansion of (+ a b) in b 20.483 * [taylor]: Taking taylor expansion of a in b 20.483 * [backup-simplify]: Simplify a into a 20.483 * [taylor]: Taking taylor expansion of b in b 20.483 * [backup-simplify]: Simplify 0 into 0 20.483 * [backup-simplify]: Simplify 1 into 1 20.483 * [backup-simplify]: Simplify (+ a 0) into a 20.483 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 20.484 * [backup-simplify]: Simplify (* 0.5 (/ PI a)) into (* 0.5 (/ PI a)) 20.484 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 20.484 * [taylor]: Taking taylor expansion of 0.5 in a 20.484 * [backup-simplify]: Simplify 0.5 into 0.5 20.484 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.484 * [taylor]: Taking taylor expansion of PI in a 20.484 * [backup-simplify]: Simplify PI into PI 20.484 * [taylor]: Taking taylor expansion of a in a 20.484 * [backup-simplify]: Simplify 0 into 0 20.484 * [backup-simplify]: Simplify 1 into 1 20.485 * [backup-simplify]: Simplify (/ PI 1) into PI 20.485 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.486 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 20.486 * [backup-simplify]: Simplify 0 into 0 20.487 * [backup-simplify]: Simplify (+ 0 1) into 1 20.487 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 20.487 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 0.5 (/ PI (pow a 2)))) 20.487 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 20.487 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 20.487 * [taylor]: Taking taylor expansion of 0.5 in a 20.488 * [backup-simplify]: Simplify 0.5 into 0.5 20.488 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 20.488 * [taylor]: Taking taylor expansion of PI in a 20.488 * [backup-simplify]: Simplify PI into PI 20.488 * [taylor]: Taking taylor expansion of (pow a 2) in a 20.488 * [taylor]: Taking taylor expansion of a in a 20.488 * [backup-simplify]: Simplify 0 into 0 20.488 * [backup-simplify]: Simplify 1 into 1 20.488 * [backup-simplify]: Simplify (* 1 1) into 1 20.489 * [backup-simplify]: Simplify (/ PI 1) into PI 20.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.493 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.493 * [backup-simplify]: Simplify (- 0) into 0 20.493 * [backup-simplify]: Simplify 0 into 0 20.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.495 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.495 * [backup-simplify]: Simplify 0 into 0 20.495 * [backup-simplify]: Simplify (+ 0 0) into 0 20.496 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 20.496 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 0.5 (/ PI (pow a 3))) 20.496 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 20.496 * [taylor]: Taking taylor expansion of 0.5 in a 20.496 * [backup-simplify]: Simplify 0.5 into 0.5 20.496 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 20.496 * [taylor]: Taking taylor expansion of PI in a 20.496 * [backup-simplify]: Simplify PI into PI 20.496 * [taylor]: Taking taylor expansion of (pow a 3) in a 20.496 * [taylor]: Taking taylor expansion of a in a 20.496 * [backup-simplify]: Simplify 0 into 0 20.496 * [backup-simplify]: Simplify 1 into 1 20.497 * [backup-simplify]: Simplify (* 1 1) into 1 20.497 * [backup-simplify]: Simplify (* 1 1) into 1 20.498 * [backup-simplify]: Simplify (/ PI 1) into PI 20.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.502 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.504 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.506 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.506 * [backup-simplify]: Simplify 0 into 0 20.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.509 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.509 * [backup-simplify]: Simplify (- 0) into 0 20.509 * [backup-simplify]: Simplify 0 into 0 20.510 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.511 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.511 * [backup-simplify]: Simplify 0 into 0 20.511 * [backup-simplify]: Simplify 0 into 0 20.512 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 20.512 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 20.512 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 20.512 * [taylor]: Taking taylor expansion of 0.5 in a 20.512 * [backup-simplify]: Simplify 0.5 into 0.5 20.512 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 20.512 * [taylor]: Taking taylor expansion of PI in a 20.512 * [backup-simplify]: Simplify PI into PI 20.512 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.512 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.512 * [taylor]: Taking taylor expansion of a in a 20.512 * [backup-simplify]: Simplify 0 into 0 20.512 * [backup-simplify]: Simplify 1 into 1 20.513 * [backup-simplify]: Simplify (/ 1 1) into 1 20.513 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.513 * [taylor]: Taking taylor expansion of b in a 20.513 * [backup-simplify]: Simplify b into b 20.513 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.513 * [backup-simplify]: Simplify (+ 1 0) into 1 20.514 * [backup-simplify]: Simplify (/ PI 1) into PI 20.514 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 20.514 * [taylor]: Taking taylor expansion of 0.5 in b 20.514 * [backup-simplify]: Simplify 0.5 into 0.5 20.514 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 20.514 * [taylor]: Taking taylor expansion of PI in b 20.514 * [backup-simplify]: Simplify PI into PI 20.514 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.514 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.514 * [taylor]: Taking taylor expansion of a in b 20.514 * [backup-simplify]: Simplify a into a 20.514 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.514 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.514 * [taylor]: Taking taylor expansion of b in b 20.514 * [backup-simplify]: Simplify 0 into 0 20.514 * [backup-simplify]: Simplify 1 into 1 20.514 * [backup-simplify]: Simplify (/ 1 1) into 1 20.515 * [backup-simplify]: Simplify (+ 0 1) into 1 20.515 * [backup-simplify]: Simplify (/ PI 1) into PI 20.515 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 20.515 * [taylor]: Taking taylor expansion of 0.5 in b 20.515 * [backup-simplify]: Simplify 0.5 into 0.5 20.515 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 20.515 * [taylor]: Taking taylor expansion of PI in b 20.515 * [backup-simplify]: Simplify PI into PI 20.515 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.515 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.516 * [taylor]: Taking taylor expansion of a in b 20.516 * [backup-simplify]: Simplify a into a 20.516 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.516 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.516 * [taylor]: Taking taylor expansion of b in b 20.516 * [backup-simplify]: Simplify 0 into 0 20.516 * [backup-simplify]: Simplify 1 into 1 20.516 * [backup-simplify]: Simplify (/ 1 1) into 1 20.516 * [backup-simplify]: Simplify (+ 0 1) into 1 20.517 * [backup-simplify]: Simplify (/ PI 1) into PI 20.517 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.517 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 20.517 * [taylor]: Taking taylor expansion of 0.5 in a 20.517 * [backup-simplify]: Simplify 0.5 into 0.5 20.517 * [taylor]: Taking taylor expansion of PI in a 20.517 * [backup-simplify]: Simplify PI into PI 20.518 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 20.518 * [backup-simplify]: Simplify 0 into 0 20.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.519 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 20.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 20.520 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI a))) (* 0 PI)) into (- (* 0.5 (/ PI a))) 20.520 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 20.520 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 20.520 * [taylor]: Taking taylor expansion of 0.5 in a 20.520 * [backup-simplify]: Simplify 0.5 into 0.5 20.520 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.520 * [taylor]: Taking taylor expansion of PI in a 20.520 * [backup-simplify]: Simplify PI into PI 20.520 * [taylor]: Taking taylor expansion of a in a 20.520 * [backup-simplify]: Simplify 0 into 0 20.520 * [backup-simplify]: Simplify 1 into 1 20.521 * [backup-simplify]: Simplify (/ PI 1) into PI 20.522 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.523 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.524 * [backup-simplify]: Simplify (- 0) into 0 20.524 * [backup-simplify]: Simplify 0 into 0 20.525 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.525 * [backup-simplify]: Simplify 0 into 0 20.525 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.526 * [backup-simplify]: Simplify (+ 0 0) into 0 20.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 20.536 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 20.536 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 20.536 * [taylor]: Taking taylor expansion of 0.5 in a 20.536 * [backup-simplify]: Simplify 0.5 into 0.5 20.536 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 20.536 * [taylor]: Taking taylor expansion of PI in a 20.536 * [backup-simplify]: Simplify PI into PI 20.536 * [taylor]: Taking taylor expansion of (pow a 2) in a 20.536 * [taylor]: Taking taylor expansion of a in a 20.536 * [backup-simplify]: Simplify 0 into 0 20.536 * [backup-simplify]: Simplify 1 into 1 20.537 * [backup-simplify]: Simplify (* 1 1) into 1 20.537 * [backup-simplify]: Simplify (/ PI 1) into PI 20.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.542 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.543 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.543 * [backup-simplify]: Simplify 0 into 0 20.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.546 * [backup-simplify]: Simplify (- 0) into 0 20.546 * [backup-simplify]: Simplify 0 into 0 20.547 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.547 * [backup-simplify]: Simplify 0 into 0 20.547 * [backup-simplify]: Simplify 0 into 0 20.548 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 20.548 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 20.548 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 20.548 * [taylor]: Taking taylor expansion of -0.5 in a 20.548 * [backup-simplify]: Simplify -0.5 into -0.5 20.548 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 20.548 * [taylor]: Taking taylor expansion of PI in a 20.548 * [backup-simplify]: Simplify PI into PI 20.548 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.548 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.548 * [taylor]: Taking taylor expansion of a in a 20.548 * [backup-simplify]: Simplify 0 into 0 20.548 * [backup-simplify]: Simplify 1 into 1 20.548 * [backup-simplify]: Simplify (/ 1 1) into 1 20.548 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.548 * [taylor]: Taking taylor expansion of b in a 20.548 * [backup-simplify]: Simplify b into b 20.548 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.549 * [backup-simplify]: Simplify (+ 1 0) into 1 20.549 * [backup-simplify]: Simplify (/ PI 1) into PI 20.549 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 20.549 * [taylor]: Taking taylor expansion of -0.5 in b 20.549 * [backup-simplify]: Simplify -0.5 into -0.5 20.549 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 20.549 * [taylor]: Taking taylor expansion of PI in b 20.549 * [backup-simplify]: Simplify PI into PI 20.549 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.549 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.549 * [taylor]: Taking taylor expansion of a in b 20.550 * [backup-simplify]: Simplify a into a 20.550 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.550 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.550 * [taylor]: Taking taylor expansion of b in b 20.550 * [backup-simplify]: Simplify 0 into 0 20.550 * [backup-simplify]: Simplify 1 into 1 20.550 * [backup-simplify]: Simplify (/ 1 1) into 1 20.550 * [backup-simplify]: Simplify (+ 0 1) into 1 20.551 * [backup-simplify]: Simplify (/ PI 1) into PI 20.551 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 20.551 * [taylor]: Taking taylor expansion of -0.5 in b 20.551 * [backup-simplify]: Simplify -0.5 into -0.5 20.551 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 20.551 * [taylor]: Taking taylor expansion of PI in b 20.551 * [backup-simplify]: Simplify PI into PI 20.551 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.551 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.551 * [taylor]: Taking taylor expansion of a in b 20.551 * [backup-simplify]: Simplify a into a 20.551 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.551 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.551 * [taylor]: Taking taylor expansion of b in b 20.551 * [backup-simplify]: Simplify 0 into 0 20.551 * [backup-simplify]: Simplify 1 into 1 20.552 * [backup-simplify]: Simplify (/ 1 1) into 1 20.552 * [backup-simplify]: Simplify (+ 0 1) into 1 20.552 * [backup-simplify]: Simplify (/ PI 1) into PI 20.553 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 20.553 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 20.553 * [taylor]: Taking taylor expansion of -0.5 in a 20.553 * [backup-simplify]: Simplify -0.5 into -0.5 20.553 * [taylor]: Taking taylor expansion of PI in a 20.553 * [backup-simplify]: Simplify PI into PI 20.554 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 20.554 * [backup-simplify]: Simplify 0 into 0 20.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.555 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 20.555 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 20.556 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI a))) (* 0 PI)) into (* 0.5 (/ PI a)) 20.556 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 20.556 * [taylor]: Taking taylor expansion of 0.5 in a 20.556 * [backup-simplify]: Simplify 0.5 into 0.5 20.556 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.556 * [taylor]: Taking taylor expansion of PI in a 20.556 * [backup-simplify]: Simplify PI into PI 20.556 * [taylor]: Taking taylor expansion of a in a 20.556 * [backup-simplify]: Simplify 0 into 0 20.556 * [backup-simplify]: Simplify 1 into 1 20.556 * [backup-simplify]: Simplify (/ PI 1) into PI 20.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.559 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.559 * [backup-simplify]: Simplify 0 into 0 20.560 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.560 * [backup-simplify]: Simplify 0 into 0 20.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.562 * [backup-simplify]: Simplify (+ 0 0) into 0 20.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 20.564 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (* 0.5 (/ PI (pow a 2)))) 20.564 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 20.564 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 20.564 * [taylor]: Taking taylor expansion of 0.5 in a 20.564 * [backup-simplify]: Simplify 0.5 into 0.5 20.564 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 20.564 * [taylor]: Taking taylor expansion of PI in a 20.564 * [backup-simplify]: Simplify PI into PI 20.564 * [taylor]: Taking taylor expansion of (pow a 2) in a 20.564 * [taylor]: Taking taylor expansion of a in a 20.564 * [backup-simplify]: Simplify 0 into 0 20.564 * [backup-simplify]: Simplify 1 into 1 20.565 * [backup-simplify]: Simplify (* 1 1) into 1 20.565 * [backup-simplify]: Simplify (/ PI 1) into PI 20.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.571 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.571 * [backup-simplify]: Simplify (- 0) into 0 20.571 * [backup-simplify]: Simplify 0 into 0 20.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.573 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.573 * [backup-simplify]: Simplify 0 into 0 20.574 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.574 * [backup-simplify]: Simplify 0 into 0 20.574 * [backup-simplify]: Simplify 0 into 0 20.575 * * * * [progress]: [ 4 / 4 ] generating series at (2) 20.575 * [backup-simplify]: Simplify (/ (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b)) (- b a)) into (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* (- b a) (* b (+ a b)))))) 20.576 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* (- b a) (* b (+ a b)))))) in (b a) around 0 20.576 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* (- b a) (* b (+ a b)))))) in a 20.576 * [taylor]: Taking taylor expansion of 0.5 in a 20.576 * [backup-simplify]: Simplify 0.5 into 0.5 20.576 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* (- b a) (* b (+ a b))))) in a 20.576 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 20.576 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 20.576 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.576 * [taylor]: Taking taylor expansion of 1.0 in a 20.576 * [backup-simplify]: Simplify 1.0 into 1.0 20.576 * [taylor]: Taking taylor expansion of b in a 20.576 * [backup-simplify]: Simplify b into b 20.576 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.576 * [taylor]: Taking taylor expansion of 1.0 in a 20.576 * [backup-simplify]: Simplify 1.0 into 1.0 20.576 * [taylor]: Taking taylor expansion of a in a 20.576 * [backup-simplify]: Simplify 0 into 0 20.576 * [backup-simplify]: Simplify 1 into 1 20.576 * [taylor]: Taking taylor expansion of PI in a 20.576 * [backup-simplify]: Simplify PI into PI 20.576 * [taylor]: Taking taylor expansion of (* a (* (- b a) (* b (+ a b)))) in a 20.576 * [taylor]: Taking taylor expansion of a in a 20.576 * [backup-simplify]: Simplify 0 into 0 20.576 * [backup-simplify]: Simplify 1 into 1 20.576 * [taylor]: Taking taylor expansion of (* (- b a) (* b (+ a b))) in a 20.576 * [taylor]: Taking taylor expansion of (- b a) in a 20.576 * [taylor]: Taking taylor expansion of b in a 20.576 * [backup-simplify]: Simplify b into b 20.576 * [taylor]: Taking taylor expansion of a in a 20.576 * [backup-simplify]: Simplify 0 into 0 20.576 * [backup-simplify]: Simplify 1 into 1 20.576 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 20.576 * [taylor]: Taking taylor expansion of b in a 20.576 * [backup-simplify]: Simplify b into b 20.576 * [taylor]: Taking taylor expansion of (+ a b) in a 20.576 * [taylor]: Taking taylor expansion of a in a 20.576 * [backup-simplify]: Simplify 0 into 0 20.577 * [backup-simplify]: Simplify 1 into 1 20.577 * [taylor]: Taking taylor expansion of b in a 20.577 * [backup-simplify]: Simplify b into b 20.577 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.577 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.578 * [backup-simplify]: Simplify (- 0) into 0 20.578 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 20.578 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 20.578 * [backup-simplify]: Simplify (- 0) into 0 20.578 * [backup-simplify]: Simplify (+ b 0) into b 20.578 * [backup-simplify]: Simplify (+ 0 b) into b 20.578 * [backup-simplify]: Simplify (* b b) into (pow b 2) 20.579 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 20.579 * [backup-simplify]: Simplify (* 0 (pow b 3)) into 0 20.579 * [backup-simplify]: Simplify (+ 1 0) into 1 20.579 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 20.579 * [backup-simplify]: Simplify (- 1) into -1 20.580 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.580 * [backup-simplify]: Simplify (+ (* b b) (* -1 (pow b 2))) into 0 20.581 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 3))) into (pow b 3) 20.581 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) (pow b 3)) into (* 1.0 (/ PI (pow b 2))) 20.581 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* (- b a) (* b (+ a b)))))) in b 20.581 * [taylor]: Taking taylor expansion of 0.5 in b 20.581 * [backup-simplify]: Simplify 0.5 into 0.5 20.581 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* (- b a) (* b (+ a b))))) in b 20.581 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 20.581 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 20.581 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.581 * [taylor]: Taking taylor expansion of 1.0 in b 20.581 * [backup-simplify]: Simplify 1.0 into 1.0 20.581 * [taylor]: Taking taylor expansion of b in b 20.581 * [backup-simplify]: Simplify 0 into 0 20.582 * [backup-simplify]: Simplify 1 into 1 20.582 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.582 * [taylor]: Taking taylor expansion of 1.0 in b 20.582 * [backup-simplify]: Simplify 1.0 into 1.0 20.582 * [taylor]: Taking taylor expansion of a in b 20.582 * [backup-simplify]: Simplify a into a 20.582 * [taylor]: Taking taylor expansion of PI in b 20.582 * [backup-simplify]: Simplify PI into PI 20.582 * [taylor]: Taking taylor expansion of (* a (* (- b a) (* b (+ a b)))) in b 20.582 * [taylor]: Taking taylor expansion of a in b 20.582 * [backup-simplify]: Simplify a into a 20.582 * [taylor]: Taking taylor expansion of (* (- b a) (* b (+ a b))) in b 20.582 * [taylor]: Taking taylor expansion of (- b a) in b 20.582 * [taylor]: Taking taylor expansion of b in b 20.582 * [backup-simplify]: Simplify 0 into 0 20.582 * [backup-simplify]: Simplify 1 into 1 20.582 * [taylor]: Taking taylor expansion of a in b 20.582 * [backup-simplify]: Simplify a into a 20.582 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 20.582 * [taylor]: Taking taylor expansion of b in b 20.582 * [backup-simplify]: Simplify 0 into 0 20.582 * [backup-simplify]: Simplify 1 into 1 20.582 * [taylor]: Taking taylor expansion of (+ a b) in b 20.582 * [taylor]: Taking taylor expansion of a in b 20.582 * [backup-simplify]: Simplify a into a 20.582 * [taylor]: Taking taylor expansion of b in b 20.582 * [backup-simplify]: Simplify 0 into 0 20.582 * [backup-simplify]: Simplify 1 into 1 20.583 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.583 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 20.583 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 20.583 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 20.583 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 20.583 * [backup-simplify]: Simplify (- a) into (- a) 20.583 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 20.583 * [backup-simplify]: Simplify (+ a 0) into a 20.583 * [backup-simplify]: Simplify (* 0 a) into 0 20.583 * [backup-simplify]: Simplify (* (- a) 0) into 0 20.583 * [backup-simplify]: Simplify (* a 0) into 0 20.584 * [backup-simplify]: Simplify (+ 0 1) into 1 20.584 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 20.585 * [backup-simplify]: Simplify (- 0) into 0 20.585 * [backup-simplify]: Simplify (+ 1 0) into 1 20.585 * [backup-simplify]: Simplify (+ (* (- a) a) (* 1 0)) into (- (pow a 2)) 20.586 * [backup-simplify]: Simplify (+ (* a (- (pow a 2))) (* 0 0)) into (- (pow a 3)) 20.586 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) (- (pow a 3))) into (* 1.0 (/ PI (pow a 2))) 20.586 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* (- b a) (* b (+ a b)))))) in b 20.586 * [taylor]: Taking taylor expansion of 0.5 in b 20.586 * [backup-simplify]: Simplify 0.5 into 0.5 20.586 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* a (* (- b a) (* b (+ a b))))) in b 20.586 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 20.586 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 20.586 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.586 * [taylor]: Taking taylor expansion of 1.0 in b 20.586 * [backup-simplify]: Simplify 1.0 into 1.0 20.586 * [taylor]: Taking taylor expansion of b in b 20.586 * [backup-simplify]: Simplify 0 into 0 20.586 * [backup-simplify]: Simplify 1 into 1 20.586 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.586 * [taylor]: Taking taylor expansion of 1.0 in b 20.586 * [backup-simplify]: Simplify 1.0 into 1.0 20.587 * [taylor]: Taking taylor expansion of a in b 20.587 * [backup-simplify]: Simplify a into a 20.587 * [taylor]: Taking taylor expansion of PI in b 20.587 * [backup-simplify]: Simplify PI into PI 20.587 * [taylor]: Taking taylor expansion of (* a (* (- b a) (* b (+ a b)))) in b 20.587 * [taylor]: Taking taylor expansion of a in b 20.587 * [backup-simplify]: Simplify a into a 20.587 * [taylor]: Taking taylor expansion of (* (- b a) (* b (+ a b))) in b 20.587 * [taylor]: Taking taylor expansion of (- b a) in b 20.587 * [taylor]: Taking taylor expansion of b in b 20.587 * [backup-simplify]: Simplify 0 into 0 20.587 * [backup-simplify]: Simplify 1 into 1 20.587 * [taylor]: Taking taylor expansion of a in b 20.587 * [backup-simplify]: Simplify a into a 20.587 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 20.587 * [taylor]: Taking taylor expansion of b in b 20.587 * [backup-simplify]: Simplify 0 into 0 20.587 * [backup-simplify]: Simplify 1 into 1 20.587 * [taylor]: Taking taylor expansion of (+ a b) in b 20.587 * [taylor]: Taking taylor expansion of a in b 20.587 * [backup-simplify]: Simplify a into a 20.587 * [taylor]: Taking taylor expansion of b in b 20.587 * [backup-simplify]: Simplify 0 into 0 20.587 * [backup-simplify]: Simplify 1 into 1 20.587 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.587 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 20.587 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 20.588 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 20.588 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 20.588 * [backup-simplify]: Simplify (- a) into (- a) 20.588 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 20.588 * [backup-simplify]: Simplify (+ a 0) into a 20.588 * [backup-simplify]: Simplify (* 0 a) into 0 20.588 * [backup-simplify]: Simplify (* (- a) 0) into 0 20.588 * [backup-simplify]: Simplify (* a 0) into 0 20.588 * [backup-simplify]: Simplify (+ 0 1) into 1 20.589 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 20.589 * [backup-simplify]: Simplify (- 0) into 0 20.589 * [backup-simplify]: Simplify (+ 1 0) into 1 20.590 * [backup-simplify]: Simplify (+ (* (- a) a) (* 1 0)) into (- (pow a 2)) 20.590 * [backup-simplify]: Simplify (+ (* a (- (pow a 2))) (* 0 0)) into (- (pow a 3)) 20.591 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) (- (pow a 3))) into (* 1.0 (/ PI (pow a 2))) 20.591 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 20.591 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 20.591 * [taylor]: Taking taylor expansion of 0.5 in a 20.591 * [backup-simplify]: Simplify 0.5 into 0.5 20.591 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 20.591 * [taylor]: Taking taylor expansion of PI in a 20.591 * [backup-simplify]: Simplify PI into PI 20.591 * [taylor]: Taking taylor expansion of (pow a 2) in a 20.591 * [taylor]: Taking taylor expansion of a in a 20.591 * [backup-simplify]: Simplify 0 into 0 20.591 * [backup-simplify]: Simplify 1 into 1 20.592 * [backup-simplify]: Simplify (* 1 1) into 1 20.592 * [backup-simplify]: Simplify (/ PI 1) into PI 20.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.593 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.594 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 20.594 * [backup-simplify]: Simplify 0 into 0 20.595 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.596 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 20.596 * [backup-simplify]: Simplify (- 0) into 0 20.596 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.597 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 20.597 * [backup-simplify]: Simplify (+ 0 0) into 0 20.598 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 a))) into 1 20.598 * [backup-simplify]: Simplify (- 0) into 0 20.598 * [backup-simplify]: Simplify (+ 0 0) into 0 20.599 * [backup-simplify]: Simplify (+ (* (- a) 1) (+ (* 1 a) (* 0 0))) into 0 20.599 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (- (pow a 2))) (* 0 0))) into 0 20.600 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) (- (pow a 3))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 0 (- (pow a 3)))))) into (- (* 1.0 (/ PI (pow a 3)))) 20.601 * [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)))) 20.601 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 20.601 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 20.601 * [taylor]: Taking taylor expansion of 0.5 in a 20.601 * [backup-simplify]: Simplify 0.5 into 0.5 20.601 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 20.601 * [taylor]: Taking taylor expansion of PI in a 20.601 * [backup-simplify]: Simplify PI into PI 20.601 * [taylor]: Taking taylor expansion of (pow a 3) in a 20.601 * [taylor]: Taking taylor expansion of a in a 20.601 * [backup-simplify]: Simplify 0 into 0 20.601 * [backup-simplify]: Simplify 1 into 1 20.601 * [backup-simplify]: Simplify (* 1 1) into 1 20.602 * [backup-simplify]: Simplify (* 1 1) into 1 20.602 * [backup-simplify]: Simplify (/ PI 1) into PI 20.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.605 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.607 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.608 * [backup-simplify]: Simplify (- 0) into 0 20.608 * [backup-simplify]: Simplify 0 into 0 20.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.611 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.611 * [backup-simplify]: Simplify 0 into 0 20.612 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.612 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 20.613 * [backup-simplify]: Simplify (- 0) into 0 20.613 * [backup-simplify]: Simplify (+ 0 0) into 0 20.614 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 20.614 * [backup-simplify]: Simplify (+ 0 0) into 0 20.615 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 a)))) into 0 20.616 * [backup-simplify]: Simplify (- 0) into 0 20.616 * [backup-simplify]: Simplify (+ 0 0) into 0 20.617 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (+ (* 0 a) (* 0 0)))) into 1 20.618 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 0) (+ (* 0 (- (pow a 2))) (* 0 0)))) into a 20.619 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 3))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ a (- (pow a 3)))) (* (- (* 1.0 (/ PI (pow a 3)))) (/ 0 (- (pow a 3)))))) into (* 1.0 (/ PI (pow a 4))) 20.619 * [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))) 20.619 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 20.620 * [taylor]: Taking taylor expansion of 0.5 in a 20.620 * [backup-simplify]: Simplify 0.5 into 0.5 20.620 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 20.620 * [taylor]: Taking taylor expansion of PI in a 20.620 * [backup-simplify]: Simplify PI into PI 20.620 * [taylor]: Taking taylor expansion of (pow a 4) in a 20.620 * [taylor]: Taking taylor expansion of a in a 20.620 * [backup-simplify]: Simplify 0 into 0 20.620 * [backup-simplify]: Simplify 1 into 1 20.620 * [backup-simplify]: Simplify (* 1 1) into 1 20.621 * [backup-simplify]: Simplify (* 1 1) into 1 20.622 * [backup-simplify]: Simplify (/ PI 1) into PI 20.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.629 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.630 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.631 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.632 * [backup-simplify]: Simplify 0 into 0 20.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.636 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.636 * [backup-simplify]: Simplify (- 0) into 0 20.636 * [backup-simplify]: Simplify 0 into 0 20.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.639 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.639 * [backup-simplify]: Simplify 0 into 0 20.639 * [backup-simplify]: Simplify 0 into 0 20.640 * [backup-simplify]: Simplify (/ (/ (* (* (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) 1.0) (- (* 1.0 (/ 1 b)) (* (/ 1 a) 1.0))) (* (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (* 0.5 (/ (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 20.640 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (b a) around 0 20.640 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 20.640 * [taylor]: Taking taylor expansion of 0.5 in a 20.641 * [backup-simplify]: Simplify 0.5 into 0.5 20.641 * [taylor]: Taking taylor expansion of (/ (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 20.641 * [taylor]: Taking taylor expansion of (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) in a 20.641 * [taylor]: Taking taylor expansion of a in a 20.641 * [backup-simplify]: Simplify 0 into 0 20.641 * [backup-simplify]: Simplify 1 into 1 20.641 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b)) in a 20.641 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in a 20.641 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.641 * [taylor]: Taking taylor expansion of 1.0 in a 20.641 * [backup-simplify]: Simplify 1.0 into 1.0 20.641 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.641 * [taylor]: Taking taylor expansion of b in a 20.641 * [backup-simplify]: Simplify b into b 20.641 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.641 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.641 * [taylor]: Taking taylor expansion of 1.0 in a 20.641 * [backup-simplify]: Simplify 1.0 into 1.0 20.641 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.641 * [taylor]: Taking taylor expansion of a in a 20.641 * [backup-simplify]: Simplify 0 into 0 20.641 * [backup-simplify]: Simplify 1 into 1 20.641 * [backup-simplify]: Simplify (/ 1 1) into 1 20.641 * [taylor]: Taking taylor expansion of (* PI b) in a 20.642 * [taylor]: Taking taylor expansion of PI in a 20.642 * [backup-simplify]: Simplify PI into PI 20.642 * [taylor]: Taking taylor expansion of b in a 20.642 * [backup-simplify]: Simplify b into b 20.642 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 20.642 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.642 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.642 * [taylor]: Taking taylor expansion of a in a 20.642 * [backup-simplify]: Simplify 0 into 0 20.642 * [backup-simplify]: Simplify 1 into 1 20.642 * [backup-simplify]: Simplify (/ 1 1) into 1 20.642 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.642 * [taylor]: Taking taylor expansion of b in a 20.642 * [backup-simplify]: Simplify b into b 20.642 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.642 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 20.642 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.642 * [taylor]: Taking taylor expansion of b in a 20.642 * [backup-simplify]: Simplify b into b 20.642 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.642 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.642 * [taylor]: Taking taylor expansion of a in a 20.642 * [backup-simplify]: Simplify 0 into 0 20.642 * [backup-simplify]: Simplify 1 into 1 20.643 * [backup-simplify]: Simplify (/ 1 1) into 1 20.643 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.643 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.644 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.644 * [backup-simplify]: Simplify (* PI b) into (* b PI) 20.645 * [backup-simplify]: Simplify (* (- 1.0) (* b PI)) into (* -1.0 (* b PI)) 20.645 * [backup-simplify]: Simplify (* 0 (* -1.0 (* b PI))) into 0 20.645 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 20.645 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 20.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.646 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.647 * [backup-simplify]: Simplify (- 0) into 0 20.647 * [backup-simplify]: Simplify (+ (/ 1.0 b) 0) into (* 1.0 (/ 1 b)) 20.647 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 b)) (* b PI))) into (* 1.0 PI) 20.648 * [backup-simplify]: Simplify (+ (* 0 (* 1.0 PI)) (* 1 (* -1.0 (* b PI)))) into (- (* 1.0 (* PI b))) 20.648 * [backup-simplify]: Simplify (+ 1 0) into 1 20.649 * [backup-simplify]: Simplify (- 1) into -1 20.649 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.649 * [backup-simplify]: Simplify (* 1 -1) into -1 20.650 * [backup-simplify]: Simplify (/ (- (* 1.0 (* PI b))) -1) into (* 1.0 (* b PI)) 20.650 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 20.650 * [taylor]: Taking taylor expansion of 0.5 in b 20.650 * [backup-simplify]: Simplify 0.5 into 0.5 20.650 * [taylor]: Taking taylor expansion of (/ (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 20.650 * [taylor]: Taking taylor expansion of (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) in b 20.650 * [taylor]: Taking taylor expansion of a in b 20.650 * [backup-simplify]: Simplify a into a 20.650 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b)) in b 20.650 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in b 20.650 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.650 * [taylor]: Taking taylor expansion of 1.0 in b 20.650 * [backup-simplify]: Simplify 1.0 into 1.0 20.650 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.650 * [taylor]: Taking taylor expansion of b in b 20.650 * [backup-simplify]: Simplify 0 into 0 20.650 * [backup-simplify]: Simplify 1 into 1 20.650 * [backup-simplify]: Simplify (/ 1 1) into 1 20.650 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.650 * [taylor]: Taking taylor expansion of 1.0 in b 20.650 * [backup-simplify]: Simplify 1.0 into 1.0 20.650 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.650 * [taylor]: Taking taylor expansion of a in b 20.650 * [backup-simplify]: Simplify a into a 20.650 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.651 * [taylor]: Taking taylor expansion of (* PI b) in b 20.651 * [taylor]: Taking taylor expansion of PI in b 20.651 * [backup-simplify]: Simplify PI into PI 20.651 * [taylor]: Taking taylor expansion of b in b 20.651 * [backup-simplify]: Simplify 0 into 0 20.651 * [backup-simplify]: Simplify 1 into 1 20.651 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 20.651 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.651 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.651 * [taylor]: Taking taylor expansion of a in b 20.651 * [backup-simplify]: Simplify a into a 20.651 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.651 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.651 * [taylor]: Taking taylor expansion of b in b 20.651 * [backup-simplify]: Simplify 0 into 0 20.651 * [backup-simplify]: Simplify 1 into 1 20.651 * [backup-simplify]: Simplify (/ 1 1) into 1 20.651 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 20.651 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.651 * [taylor]: Taking taylor expansion of b in b 20.651 * [backup-simplify]: Simplify 0 into 0 20.651 * [backup-simplify]: Simplify 1 into 1 20.652 * [backup-simplify]: Simplify (/ 1 1) into 1 20.652 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.652 * [taylor]: Taking taylor expansion of a in b 20.652 * [backup-simplify]: Simplify a into a 20.652 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.652 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.653 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.653 * [backup-simplify]: Simplify (* PI 0) into 0 20.653 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.653 * [backup-simplify]: Simplify (* a 0) into 0 20.654 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 20.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.655 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.655 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 20.655 * [backup-simplify]: Simplify (- (/ 1.0 a)) into (- (* 1.0 (/ 1 a))) 20.655 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 a)))) into (- (* 1.0 (/ 1 a))) 20.656 * [backup-simplify]: Simplify (+ (* 1.0 PI) (* (- (* 1.0 (/ 1 a))) 0)) into (* 1.0 PI) 20.656 * [backup-simplify]: Simplify (+ (* a (* 1.0 PI)) (* 0 0)) into (* 1.0 (* a PI)) 20.656 * [backup-simplify]: Simplify (+ 0 1) into 1 20.657 * [backup-simplify]: Simplify (+ 1 0) into 1 20.657 * [backup-simplify]: Simplify (* 1 1) into 1 20.657 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 20.657 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 20.657 * [taylor]: Taking taylor expansion of 0.5 in b 20.657 * [backup-simplify]: Simplify 0.5 into 0.5 20.657 * [taylor]: Taking taylor expansion of (/ (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 20.657 * [taylor]: Taking taylor expansion of (* a (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b))) in b 20.657 * [taylor]: Taking taylor expansion of a in b 20.657 * [backup-simplify]: Simplify a into a 20.657 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) (* PI b)) in b 20.657 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b)) (* 1.0 (/ 1 a))) in b 20.657 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.657 * [taylor]: Taking taylor expansion of 1.0 in b 20.657 * [backup-simplify]: Simplify 1.0 into 1.0 20.657 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.657 * [taylor]: Taking taylor expansion of b in b 20.657 * [backup-simplify]: Simplify 0 into 0 20.657 * [backup-simplify]: Simplify 1 into 1 20.657 * [backup-simplify]: Simplify (/ 1 1) into 1 20.658 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.658 * [taylor]: Taking taylor expansion of 1.0 in b 20.658 * [backup-simplify]: Simplify 1.0 into 1.0 20.658 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.658 * [taylor]: Taking taylor expansion of a in b 20.658 * [backup-simplify]: Simplify a into a 20.658 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.658 * [taylor]: Taking taylor expansion of (* PI b) in b 20.658 * [taylor]: Taking taylor expansion of PI in b 20.658 * [backup-simplify]: Simplify PI into PI 20.658 * [taylor]: Taking taylor expansion of b in b 20.658 * [backup-simplify]: Simplify 0 into 0 20.658 * [backup-simplify]: Simplify 1 into 1 20.658 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 20.658 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.658 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.658 * [taylor]: Taking taylor expansion of a in b 20.658 * [backup-simplify]: Simplify a into a 20.658 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.658 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.658 * [taylor]: Taking taylor expansion of b in b 20.658 * [backup-simplify]: Simplify 0 into 0 20.658 * [backup-simplify]: Simplify 1 into 1 20.658 * [backup-simplify]: Simplify (/ 1 1) into 1 20.658 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 20.658 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.658 * [taylor]: Taking taylor expansion of b in b 20.658 * [backup-simplify]: Simplify 0 into 0 20.658 * [backup-simplify]: Simplify 1 into 1 20.659 * [backup-simplify]: Simplify (/ 1 1) into 1 20.659 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.659 * [taylor]: Taking taylor expansion of a in b 20.659 * [backup-simplify]: Simplify a into a 20.659 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.659 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.659 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.660 * [backup-simplify]: Simplify (* PI 0) into 0 20.660 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.660 * [backup-simplify]: Simplify (* a 0) into 0 20.661 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 20.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.662 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.662 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 20.662 * [backup-simplify]: Simplify (- (/ 1.0 a)) into (- (* 1.0 (/ 1 a))) 20.662 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 a)))) into (- (* 1.0 (/ 1 a))) 20.662 * [backup-simplify]: Simplify (+ (* 1.0 PI) (* (- (* 1.0 (/ 1 a))) 0)) into (* 1.0 PI) 20.663 * [backup-simplify]: Simplify (+ (* a (* 1.0 PI)) (* 0 0)) into (* 1.0 (* a PI)) 20.663 * [backup-simplify]: Simplify (+ 0 1) into 1 20.664 * [backup-simplify]: Simplify (+ 1 0) into 1 20.664 * [backup-simplify]: Simplify (* 1 1) into 1 20.664 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 20.664 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 20.664 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 20.664 * [taylor]: Taking taylor expansion of 0.5 in a 20.664 * [backup-simplify]: Simplify 0.5 into 0.5 20.664 * [taylor]: Taking taylor expansion of (* a PI) in a 20.664 * [taylor]: Taking taylor expansion of a in a 20.664 * [backup-simplify]: Simplify 0 into 0 20.664 * [backup-simplify]: Simplify 1 into 1 20.664 * [taylor]: Taking taylor expansion of PI in a 20.664 * [backup-simplify]: Simplify PI into PI 20.665 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 20.666 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 20.673 * [backup-simplify]: Simplify (* 0 PI) into 0 20.674 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 20.674 * [backup-simplify]: Simplify 0 into 0 20.674 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 20.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.675 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 20.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.676 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 20.676 * [backup-simplify]: Simplify (- 0) into 0 20.676 * [backup-simplify]: Simplify (+ 0 0) into 0 20.677 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) PI) (* 0 0))) into (- (* 1.0 (/ PI a))) 20.677 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 (/ PI a)))) (+ (* 0 (* 1.0 PI)) (* 0 0))) into (- (* 1.0 PI)) 20.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.678 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 20.678 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 20.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.678 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 20.679 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) into 0 20.680 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 20.681 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 20.681 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 20.681 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 20.681 * [taylor]: Taking taylor expansion of 0.5 in a 20.681 * [backup-simplify]: Simplify 0.5 into 0.5 20.681 * [taylor]: Taking taylor expansion of PI in a 20.681 * [backup-simplify]: Simplify PI into PI 20.682 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.682 * [backup-simplify]: Simplify (- 0) into 0 20.682 * [backup-simplify]: Simplify 0 into 0 20.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 20.683 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 20.683 * [backup-simplify]: Simplify 0 into 0 20.684 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.685 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.686 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 20.686 * [backup-simplify]: Simplify (- 0) into 0 20.686 * [backup-simplify]: Simplify (+ 0 0) into 0 20.687 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 a))) 0) (+ (* 0 PI) (* 0 0)))) into 0 20.688 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (- (* 1.0 (/ PI a)))) (+ (* 0 (* 1.0 PI)) (* 0 0)))) into 0 20.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.688 * [backup-simplify]: Simplify (- 0) into 0 20.689 * [backup-simplify]: Simplify (+ 0 0) into 0 20.689 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.690 * [backup-simplify]: Simplify (+ 0 0) into 0 20.690 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (- (/ 1 a))) (* 0 1))) into (- (/ 1 (pow a 2))) 20.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 20.692 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 20.692 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 20.692 * [taylor]: Taking taylor expansion of 0.5 in a 20.692 * [backup-simplify]: Simplify 0.5 into 0.5 20.692 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.692 * [taylor]: Taking taylor expansion of PI in a 20.692 * [backup-simplify]: Simplify PI into PI 20.692 * [taylor]: Taking taylor expansion of a in a 20.692 * [backup-simplify]: Simplify 0 into 0 20.692 * [backup-simplify]: Simplify 1 into 1 20.692 * [backup-simplify]: Simplify (/ PI 1) into PI 20.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.695 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.695 * [backup-simplify]: Simplify 0 into 0 20.696 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.696 * [backup-simplify]: Simplify (- 0) into 0 20.696 * [backup-simplify]: Simplify 0 into 0 20.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 20.697 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 20.697 * [backup-simplify]: Simplify 0 into 0 20.697 * [backup-simplify]: Simplify 0 into 0 20.698 * [backup-simplify]: Simplify (/ (/ (* (* (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) 1.0) (- (* 1.0 (/ 1 (- b))) (* (/ 1 (- a)) 1.0))) (* (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 20.698 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (b a) around 0 20.698 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 20.699 * [taylor]: Taking taylor expansion of -0.5 in a 20.699 * [backup-simplify]: Simplify -0.5 into -0.5 20.699 * [taylor]: Taking taylor expansion of (/ (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 20.699 * [taylor]: Taking taylor expansion of (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) in a 20.699 * [taylor]: Taking taylor expansion of a in a 20.699 * [backup-simplify]: Simplify 0 into 0 20.699 * [backup-simplify]: Simplify 1 into 1 20.699 * [taylor]: Taking taylor expansion of (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI)) in a 20.699 * [taylor]: Taking taylor expansion of b in a 20.699 * [backup-simplify]: Simplify b into b 20.699 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 20.699 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 20.699 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.699 * [taylor]: Taking taylor expansion of 1.0 in a 20.699 * [backup-simplify]: Simplify 1.0 into 1.0 20.699 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.699 * [taylor]: Taking taylor expansion of a in a 20.699 * [backup-simplify]: Simplify 0 into 0 20.699 * [backup-simplify]: Simplify 1 into 1 20.699 * [backup-simplify]: Simplify (/ 1 1) into 1 20.699 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.699 * [taylor]: Taking taylor expansion of 1.0 in a 20.699 * [backup-simplify]: Simplify 1.0 into 1.0 20.699 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.699 * [taylor]: Taking taylor expansion of b in a 20.699 * [backup-simplify]: Simplify b into b 20.699 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.699 * [taylor]: Taking taylor expansion of PI in a 20.699 * [backup-simplify]: Simplify PI into PI 20.699 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 20.699 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.699 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.699 * [taylor]: Taking taylor expansion of a in a 20.699 * [backup-simplify]: Simplify 0 into 0 20.699 * [backup-simplify]: Simplify 1 into 1 20.700 * [backup-simplify]: Simplify (/ 1 1) into 1 20.700 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.700 * [taylor]: Taking taylor expansion of b in a 20.700 * [backup-simplify]: Simplify b into b 20.700 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.700 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.700 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.700 * [taylor]: Taking taylor expansion of a in a 20.700 * [backup-simplify]: Simplify 0 into 0 20.700 * [backup-simplify]: Simplify 1 into 1 20.700 * [backup-simplify]: Simplify (/ 1 1) into 1 20.700 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.700 * [taylor]: Taking taylor expansion of b in a 20.700 * [backup-simplify]: Simplify b into b 20.700 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.700 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.701 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.701 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 20.701 * [backup-simplify]: Simplify (* b (* 1.0 PI)) into (* 1.0 (* PI b)) 20.701 * [backup-simplify]: Simplify (* 0 (* 1.0 (* PI b))) into 0 20.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.702 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.702 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 20.702 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 20.703 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 20.703 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 20.703 * [backup-simplify]: Simplify (+ (* b (- (* 1.0 (/ PI b)))) (* 0 (* 1.0 PI))) into (- (* 1.0 PI)) 20.704 * [backup-simplify]: Simplify (+ (* 0 (- (* 1.0 PI))) (* 1 (* 1.0 (* PI b)))) into (* 1.0 (* b PI)) 20.704 * [backup-simplify]: Simplify (+ 1 0) into 1 20.704 * [backup-simplify]: Simplify (+ 1 0) into 1 20.705 * [backup-simplify]: Simplify (* 1 1) into 1 20.705 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 20.705 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 20.705 * [taylor]: Taking taylor expansion of -0.5 in b 20.705 * [backup-simplify]: Simplify -0.5 into -0.5 20.705 * [taylor]: Taking taylor expansion of (/ (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 20.705 * [taylor]: Taking taylor expansion of (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) in b 20.705 * [taylor]: Taking taylor expansion of a in b 20.705 * [backup-simplify]: Simplify a into a 20.705 * [taylor]: Taking taylor expansion of (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI)) in b 20.705 * [taylor]: Taking taylor expansion of b in b 20.705 * [backup-simplify]: Simplify 0 into 0 20.705 * [backup-simplify]: Simplify 1 into 1 20.705 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 20.705 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 20.705 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.705 * [taylor]: Taking taylor expansion of 1.0 in b 20.705 * [backup-simplify]: Simplify 1.0 into 1.0 20.705 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.705 * [taylor]: Taking taylor expansion of a in b 20.705 * [backup-simplify]: Simplify a into a 20.705 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.705 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.705 * [taylor]: Taking taylor expansion of 1.0 in b 20.705 * [backup-simplify]: Simplify 1.0 into 1.0 20.705 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.705 * [taylor]: Taking taylor expansion of b in b 20.706 * [backup-simplify]: Simplify 0 into 0 20.706 * [backup-simplify]: Simplify 1 into 1 20.706 * [backup-simplify]: Simplify (/ 1 1) into 1 20.706 * [taylor]: Taking taylor expansion of PI in b 20.706 * [backup-simplify]: Simplify PI into PI 20.706 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 20.706 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.706 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.706 * [taylor]: Taking taylor expansion of a in b 20.706 * [backup-simplify]: Simplify a into a 20.706 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.706 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.706 * [taylor]: Taking taylor expansion of b in b 20.706 * [backup-simplify]: Simplify 0 into 0 20.706 * [backup-simplify]: Simplify 1 into 1 20.707 * [backup-simplify]: Simplify (/ 1 1) into 1 20.707 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 20.707 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.707 * [taylor]: Taking taylor expansion of a in b 20.707 * [backup-simplify]: Simplify a into a 20.707 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.707 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.707 * [taylor]: Taking taylor expansion of b in b 20.707 * [backup-simplify]: Simplify 0 into 0 20.707 * [backup-simplify]: Simplify 1 into 1 20.707 * [backup-simplify]: Simplify (/ 1 1) into 1 20.708 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.708 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.709 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.709 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 20.710 * [backup-simplify]: Simplify (* 0 (* -1.0 PI)) into 0 20.710 * [backup-simplify]: Simplify (* a 0) into 0 20.710 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 20.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.711 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.712 * [backup-simplify]: Simplify (- 0) into 0 20.712 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 20.712 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 20.714 * [backup-simplify]: Simplify (+ (* 0 (* 1.0 (/ PI a))) (* 1 (* -1.0 PI))) into (- (* 1.0 PI)) 20.715 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 PI))) (* 0 0)) into (- (* 1.0 (* a PI))) 20.715 * [backup-simplify]: Simplify (+ 0 1) into 1 20.716 * [backup-simplify]: Simplify (- 1) into -1 20.716 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.716 * [backup-simplify]: Simplify (* 1 -1) into -1 20.716 * [backup-simplify]: Simplify (/ (- (* 1.0 (* a PI))) -1) into (* 1.0 (* a PI)) 20.716 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 20.716 * [taylor]: Taking taylor expansion of -0.5 in b 20.717 * [backup-simplify]: Simplify -0.5 into -0.5 20.717 * [taylor]: Taking taylor expansion of (/ (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 20.717 * [taylor]: Taking taylor expansion of (* a (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI))) in b 20.717 * [taylor]: Taking taylor expansion of a in b 20.717 * [backup-simplify]: Simplify a into a 20.717 * [taylor]: Taking taylor expansion of (* b (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI)) in b 20.717 * [taylor]: Taking taylor expansion of b in b 20.717 * [backup-simplify]: Simplify 0 into 0 20.717 * [backup-simplify]: Simplify 1 into 1 20.717 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 20.717 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 20.717 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.717 * [taylor]: Taking taylor expansion of 1.0 in b 20.717 * [backup-simplify]: Simplify 1.0 into 1.0 20.717 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.717 * [taylor]: Taking taylor expansion of a in b 20.717 * [backup-simplify]: Simplify a into a 20.717 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.717 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.717 * [taylor]: Taking taylor expansion of 1.0 in b 20.717 * [backup-simplify]: Simplify 1.0 into 1.0 20.717 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.717 * [taylor]: Taking taylor expansion of b in b 20.717 * [backup-simplify]: Simplify 0 into 0 20.717 * [backup-simplify]: Simplify 1 into 1 20.718 * [backup-simplify]: Simplify (/ 1 1) into 1 20.718 * [taylor]: Taking taylor expansion of PI in b 20.718 * [backup-simplify]: Simplify PI into PI 20.718 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 20.718 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.718 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.718 * [taylor]: Taking taylor expansion of a in b 20.718 * [backup-simplify]: Simplify a into a 20.718 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.718 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.718 * [taylor]: Taking taylor expansion of b in b 20.718 * [backup-simplify]: Simplify 0 into 0 20.718 * [backup-simplify]: Simplify 1 into 1 20.718 * [backup-simplify]: Simplify (/ 1 1) into 1 20.718 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 20.718 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.718 * [taylor]: Taking taylor expansion of a in b 20.718 * [backup-simplify]: Simplify a into a 20.718 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.718 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.718 * [taylor]: Taking taylor expansion of b in b 20.718 * [backup-simplify]: Simplify 0 into 0 20.718 * [backup-simplify]: Simplify 1 into 1 20.719 * [backup-simplify]: Simplify (/ 1 1) into 1 20.719 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.720 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.720 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.721 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 20.722 * [backup-simplify]: Simplify (* 0 (* -1.0 PI)) into 0 20.722 * [backup-simplify]: Simplify (* a 0) into 0 20.722 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 20.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.723 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.723 * [backup-simplify]: Simplify (- 0) into 0 20.723 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 20.724 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 20.725 * [backup-simplify]: Simplify (+ (* 0 (* 1.0 (/ PI a))) (* 1 (* -1.0 PI))) into (- (* 1.0 PI)) 20.726 * [backup-simplify]: Simplify (+ (* a (- (* 1.0 PI))) (* 0 0)) into (- (* 1.0 (* a PI))) 20.727 * [backup-simplify]: Simplify (+ 0 1) into 1 20.727 * [backup-simplify]: Simplify (- 1) into -1 20.727 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.728 * [backup-simplify]: Simplify (* 1 -1) into -1 20.728 * [backup-simplify]: Simplify (/ (- (* 1.0 (* a PI))) -1) into (* 1.0 (* a PI)) 20.728 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* a PI))) into (* -0.5 (* a PI)) 20.728 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 20.728 * [taylor]: Taking taylor expansion of -0.5 in a 20.728 * [backup-simplify]: Simplify -0.5 into -0.5 20.728 * [taylor]: Taking taylor expansion of (* a PI) in a 20.728 * [taylor]: Taking taylor expansion of a in a 20.728 * [backup-simplify]: Simplify 0 into 0 20.728 * [backup-simplify]: Simplify 1 into 1 20.728 * [taylor]: Taking taylor expansion of PI in a 20.728 * [backup-simplify]: Simplify PI into PI 20.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 20.731 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 20.731 * [backup-simplify]: Simplify (* 0 PI) into 0 20.732 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 20.732 * [backup-simplify]: Simplify 0 into 0 20.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.733 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 20.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.735 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 20.735 * [backup-simplify]: Simplify (- 0) into 0 20.736 * [backup-simplify]: Simplify (+ 0 0) into 0 20.737 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 20.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1.0 (/ PI a))) (* 0 (* -1.0 PI)))) into (* 1.0 (/ PI a)) 20.739 * [backup-simplify]: Simplify (+ (* a (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 0))) into (* 1.0 PI) 20.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.740 * [backup-simplify]: Simplify (- 0) into 0 20.740 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 20.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.741 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 20.742 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (/ 1 a) -1)) into 0 20.743 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* a PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 20.745 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (* 0.5 PI) 20.745 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 20.745 * [taylor]: Taking taylor expansion of 0.5 in a 20.745 * [backup-simplify]: Simplify 0.5 into 0.5 20.745 * [taylor]: Taking taylor expansion of PI in a 20.745 * [backup-simplify]: Simplify PI into PI 20.746 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.747 * [backup-simplify]: Simplify 0 into 0 20.748 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 20.749 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 20.749 * [backup-simplify]: Simplify 0 into 0 20.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 20.750 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 20.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.751 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.751 * [backup-simplify]: Simplify (- 0) into 0 20.751 * [backup-simplify]: Simplify (+ 0 0) into 0 20.752 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 20.753 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (* 1.0 (/ PI a))) (* 0 (* -1.0 PI))))) into 0 20.754 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 0)))) into 0 20.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.755 * [backup-simplify]: Simplify (- 0) into 0 20.755 * [backup-simplify]: Simplify (+ 0 0) into 0 20.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 20.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.756 * [backup-simplify]: Simplify (+ 0 0) into 0 20.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 -1))) into (/ 1 (pow a 2)) 20.757 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 (pow a 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI a)) 20.758 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 20.758 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 20.758 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 20.758 * [taylor]: Taking taylor expansion of 0.5 in a 20.758 * [backup-simplify]: Simplify 0.5 into 0.5 20.758 * [taylor]: Taking taylor expansion of (/ PI a) in a 20.758 * [taylor]: Taking taylor expansion of PI in a 20.758 * [backup-simplify]: Simplify PI into PI 20.758 * [taylor]: Taking taylor expansion of a in a 20.758 * [backup-simplify]: Simplify 0 into 0 20.758 * [backup-simplify]: Simplify 1 into 1 20.759 * [backup-simplify]: Simplify (/ PI 1) into PI 20.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.761 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.761 * [backup-simplify]: Simplify (- 0) into 0 20.761 * [backup-simplify]: Simplify 0 into 0 20.762 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.762 * [backup-simplify]: Simplify 0 into 0 20.763 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 20.764 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 20.764 * [backup-simplify]: Simplify 0 into 0 20.764 * [backup-simplify]: Simplify 0 into 0 20.764 * * * [progress]: simplifying candidates 20.768 * [simplify]: Simplifying: (expm1 (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b))) (log1p (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b))) (- (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log a) (log b))) (- (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (log (* a b))) (- (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log a) (log b))) (- (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (log (* a b))) (- (+ (+ (log (/ (/ PI 2.0) (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log a) (log b))) (- (+ (+ (log (/ (/ PI 2.0) (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (log (* a b))) (- (+ (log (* (/ (/ PI 2.0) (+ b a)) 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log a) (log b))) (- (+ (log (* (/ (/ PI 2.0) (+ b a)) 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (log (* a b))) (- (log (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (+ (log a) (log b))) (- (log (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (log (* a b))) (log (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b))) (exp (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b))) (/ (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* 1.0 1.0) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (* a a) a) (* (* b b) b))) (/ (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* 1.0 1.0) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (* a b) (* a b)) (* a b))) (/ (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* 1.0 1.0) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (* a a) a) (* (* b b) b))) (/ (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* 1.0 1.0) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (* a b) (* a b)) (* a b))) (/ (* (* (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a))) (* (* 1.0 1.0) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (* a a) a) (* (* b b) b))) (/ (* (* (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a))) (* (* 1.0 1.0) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (* a b) (* a b)) (* a b))) (/ (* (* (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* (/ (/ PI 2.0) (+ b a)) 1.0)) (* (/ (/ PI 2.0) (+ b a)) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (* a a) a) (* (* b b) b))) (/ (* (* (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* (/ (/ PI 2.0) (+ b a)) 1.0)) (* (/ (/ PI 2.0) (+ b a)) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (* a b) (* a b)) (* a b))) (/ (* (* (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (* a a) a) (* (* b b) b))) (/ (* (* (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (* a b) (* a b)) (* a b))) (* (cbrt (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b))) (cbrt (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b)))) (cbrt (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b))) (* (* (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b)) (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b))) (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b))) (sqrt (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b))) (sqrt (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b))) (- (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (- (* a b)) (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) a) (/ (- (* 1.0 b) (* a 1.0)) b) (/ 1 (* a b)) (/ (* a b) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) a) (/ (* a b) (- (* 1.0 b) (* a 1.0))) (* (* a b) (* (+ b a) (+ (* (* 1.0 b) (* 1.0 b)) (+ (* (* a 1.0) (* a 1.0)) (* (* 1.0 b) (* a 1.0)))))) (* (* a b) (* (+ b a) (+ (* 1.0 b) (* a 1.0)))) (* (* a b) (+ (* (* 1.0 b) (* 1.0 b)) (+ (* (* a 1.0) (* a 1.0)) (* (* 1.0 b) (* a 1.0))))) (* (* a b) (+ (* 1.0 b) (* a 1.0))) (* (* a b) (+ b a)) (expm1 (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (log1p (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (+ (- (log (/ PI 2.0)) (log (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (+ (log (/ (/ PI 2.0) (+ b a))) (log 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (+ (log (* (/ (/ PI 2.0) (+ b a)) 1.0)) (log (- (* 1.0 b) (* a 1.0)))) (log (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (exp (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* 1.0 1.0) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* 1.0 1.0) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ PI 2.0) (+ b a))) (* (* 1.0 1.0) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* (/ (/ PI 2.0) (+ b a)) 1.0)) (* (/ (/ PI 2.0) (+ b a)) 1.0)) (* (* (- (* 1.0 b) (* a 1.0)) (- (* 1.0 b) (* a 1.0))) (- (* 1.0 b) (* a 1.0)))) (* (cbrt (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (cbrt (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))))) (cbrt (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (sqrt (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (sqrt (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0)))) (* (* (/ PI 2.0) 1.0) (- (pow (* 1.0 b) 3) (pow (* a 1.0) 3))) (* (+ b a) (+ (* (* 1.0 b) (* 1.0 b)) (+ (* (* a 1.0) (* a 1.0)) (* (* 1.0 b) (* a 1.0))))) (* (* (/ PI 2.0) 1.0) (- (* (* 1.0 b) (* 1.0 b)) (* (* a 1.0) (* a 1.0)))) (* (+ b a) (+ (* 1.0 b) (* a 1.0))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma 1.0 b (- (* 1.0 a)))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (fma (- 1.0) a (* 1.0 a))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 b)) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* a 1.0))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 b)) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* a 1.0))) (* (fma 1.0 b (- (* 1.0 a))) (* (/ (/ PI 2.0) (+ b a)) 1.0)) (* (fma (- 1.0) a (* 1.0 a)) (* (/ (/ 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(pow b 3) (pow a 3))) (/ (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* a b)) (- (* b b) (* a a))) (* (- b a) (* a b)) (* -0.5 (/ PI (* a b))) (* 0.5 (/ PI (* a b))) (* 0.5 (/ PI (* a b))) (* -0.5 PI) (* 0.5 PI) (* 0.5 PI) 0 0 0 0 0 0 20.784 * * [simplify]: Extracting # 0 : cost 0 20.784 * * [simplify]: Extracting # 1 : cost 0 20.785 * * [simplify]: Extracting # 2 : cost 0 20.786 * * [simplify]: Extracting # 3 : cost 0 20.786 * * [simplify]: Extracting # 4 : cost 0 20.787 * * [simplify]: Extracting # 5 : cost 0 20.788 * * [simplify]: Extracting # 6 : cost 0 20.788 * * [simplify]: Extracting # 7 : cost 0 20.789 * * [simplify]: Extracting # 8 : cost 0 20.789 * * [simplify]: iteration 0 : 395 enodes (cost 6600 ) 20.961 * * [simplify]: Extracting # 0 : cost 0 20.963 * * [simplify]: Extracting # 1 : cost 0 20.965 * * [simplify]: Extracting # 2 : cost 0 20.966 * * [simplify]: Extracting # 3 : cost 0 20.968 * * [simplify]: Extracting # 4 : cost 0 20.970 * * [simplify]: iteration 1 : 1184 enodes (cost 6337 ) 21.456 * * [simplify]: Extracting # 0 : cost 0 21.464 * * [simplify]: Extracting # 1 : cost 0 21.472 * * [simplify]: Extracting # 2 : cost 0 21.480 * * [simplify]: Extracting # 3 : cost 0 21.487 * * [simplify]: Extracting # 4 : cost 0 21.495 * * [simplify]: Extracting # 5 : cost 0 21.506 * * [simplify]: iteration done: 5000 enodes (cost 4977 ) 21.511 * [simplify]: Simplified to: (expm1 (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b))) (log1p (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b))) (log (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b))) (log (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b))) (log (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b))) (log (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b))) (log (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b))) (log (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b))) (log (/ (* (* (/ (/ PI 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2.0) (+ b a)) 1.0) a) (/ (* 1.0 (- b a)) (* (- b a) b)) (/ (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) a) (+ (sqrt b) (sqrt a))) (/ (* 1.0 (- b a)) (* (- (sqrt b) (sqrt a)) b)) (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) a) (/ (* 1.0 (- b a)) (* (- b a) b)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* (cbrt (- b a)) (* a b))) (/ 1 (sqrt (- b a))) (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* (sqrt (- b a)) (* a b))) 1 (* (/ (* 1.0 (- b a)) (- b a)) (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) (* a b))) (/ 1 (+ (sqrt b) (sqrt a))) (* (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (sqrt b) (sqrt a))) (/ (* 1.0 (- b a)) (* a b))) 1 (* (/ (* 1.0 (- b a)) (- b a)) (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) (* a b))) (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) (/ (* (cbrt (- b a)) (cbrt (- b a))) (* 1.0 (- b a)))) (/ (/ 1 (* a b)) (cbrt (- b a))) (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) (/ (sqrt (- b a)) (* 1.0 (- b a)))) (/ (/ 1 (* a b)) (sqrt (- b a))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (/ (/ 1 (* a b)) (- b a)) (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (+ (sqrt b) (sqrt a))) (/ (/ 1 (* a b)) (- (sqrt b) (sqrt a))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (/ (/ 1 (* a b)) (- b a)) (/ 1 (- b a)) (* (/ (- b a) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a)))) (* a b)) (* (/ (* 1.0 (- b a)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) (* a b))) (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* (sqrt (- b a)) (* a b))) (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b)) (* (/ (* (/ (/ PI 2.0) (+ b a)) 1.0) (+ (sqrt b) (sqrt a))) (/ (* 1.0 (- b a)) (* a b))) (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b)) (/ (- b a) (cbrt (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b)))) (/ (- b a) (sqrt (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b)))) (* (/ (- b a) (* 1.0 (- b a))) b) (* (/ (- b a) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a)))) (* a b)) (* (- b a) (* a b)) (/ (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* a b)) (- (pow b 3) (pow a 3))) (/ (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (* 1.0 (- b a))) (* (- (* b b) (* a a)) (* a b))) (* (- b a) (* a b)) (* -0.5 (/ PI (* a b))) (* 0.5 (/ PI (* a b))) (* 0.5 (/ PI (* a b))) (* -0.5 PI) (* 0.5 PI) (* 0.5 PI) 0 0 0 0 0 0 21.514 * * * [progress]: adding candidates to table 22.991 * [progress]: [Phase 3 of 3] Extracting. 22.991 * * [regime]: Finding splitpoints for: (# # # # # # #) 22.995 * * * [regime-changes]: Trying 2 branch expressions: (b a) 22.995 * * * * [regimes]: Trying to branch on b from (# # # # # # #) 23.044 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 23.101 * * * [regime]: Found split indices: #