22.335 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.037 * * * [progress]: [2/2] Setting up program. 0.039 * [progress]: [Phase 2 of 3] Improving. 0.039 * [simplify]: Simplifying: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 0.040 * * [simplify]: Extracting # 0 : cost 0 0.040 * * [simplify]: Extracting # 1 : cost 0 0.040 * * [simplify]: Extracting # 2 : cost 0 0.040 * * [simplify]: Extracting # 3 : cost 0 0.040 * * [simplify]: Extracting # 4 : cost 0 0.040 * * [simplify]: Extracting # 5 : cost 0 0.040 * * [simplify]: Extracting # 6 : cost 0 0.040 * * [simplify]: Extracting # 7 : cost 0 0.040 * * [simplify]: iteration 0 : 15 enodes (cost 21 ) 0.043 * * [simplify]: Extracting # 0 : cost 0 0.043 * * [simplify]: Extracting # 1 : cost 0 0.043 * * [simplify]: Extracting # 2 : cost 0 0.043 * * [simplify]: iteration 1 : 31 enodes (cost 21 ) 0.050 * * [simplify]: Extracting # 0 : cost 0 0.050 * * [simplify]: Extracting # 1 : cost 0 0.050 * * [simplify]: Extracting # 2 : cost 0 0.050 * * [simplify]: iteration 2 : 90 enodes (cost 21 ) 0.078 * * [simplify]: Extracting # 0 : cost 0 0.078 * * [simplify]: Extracting # 1 : cost 0 0.078 * * [simplify]: Extracting # 2 : cost 0 0.079 * * [simplify]: iteration 3 : 384 enodes (cost 21 ) 0.371 * * [simplify]: Extracting # 0 : cost 0 0.375 * * [simplify]: Extracting # 1 : cost 0 0.378 * * [simplify]: Extracting # 2 : cost 0 0.381 * * [simplify]: iteration 4 : 1663 enodes (cost 21 ) 2.091 * * [simplify]: Extracting # 0 : cost 0 2.105 * * [simplify]: Extracting # 1 : cost 0 2.113 * * [simplify]: Extracting # 2 : cost 0 2.118 * * [simplify]: iteration done: 5000 enodes (cost 21 ) 2.118 * [simplify]: Simplified to: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 2.119 * * [progress]: iteration 1 / 4 2.119 * * * [progress]: picking best candidate 2.121 * * * * [pick]: Picked # 2.121 * * * [progress]: localizing error 2.152 * * * [progress]: generating rewritten candidates 2.152 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.403 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.420 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.445 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.622 * * * [progress]: generating series expansions 2.622 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.623 * [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)))) 2.623 * [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 2.623 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in a 2.623 * [taylor]: Taking taylor expansion of 0.5 in a 2.623 * [backup-simplify]: Simplify 0.5 into 0.5 2.623 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in a 2.623 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 2.623 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 2.623 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 2.623 * [taylor]: Taking taylor expansion of 1.0 in a 2.623 * [backup-simplify]: Simplify 1.0 into 1.0 2.623 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.623 * [taylor]: Taking taylor expansion of a in a 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.624 * [backup-simplify]: Simplify (/ 1 1) into 1 2.624 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 2.624 * [taylor]: Taking taylor expansion of 1.0 in a 2.624 * [backup-simplify]: Simplify 1.0 into 1.0 2.624 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.624 * [taylor]: Taking taylor expansion of b in a 2.624 * [backup-simplify]: Simplify b into b 2.624 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.624 * [taylor]: Taking taylor expansion of PI in a 2.624 * [backup-simplify]: Simplify PI into PI 2.624 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.624 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.624 * [taylor]: Taking taylor expansion of b in a 2.624 * [backup-simplify]: Simplify b into b 2.624 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.624 * [taylor]: Taking taylor expansion of a in a 2.624 * [backup-simplify]: Simplify 0 into 0 2.624 * [backup-simplify]: Simplify 1 into 1 2.625 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.625 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.626 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 2.626 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.626 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.627 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 2.627 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.627 * [taylor]: Taking taylor expansion of 0.5 in b 2.627 * [backup-simplify]: Simplify 0.5 into 0.5 2.627 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.627 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.627 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.627 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.627 * [taylor]: Taking taylor expansion of 1.0 in b 2.627 * [backup-simplify]: Simplify 1.0 into 1.0 2.627 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.627 * [taylor]: Taking taylor expansion of a in b 2.627 * [backup-simplify]: Simplify a into a 2.627 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.627 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.627 * [taylor]: Taking taylor expansion of 1.0 in b 2.627 * [backup-simplify]: Simplify 1.0 into 1.0 2.627 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.627 * [taylor]: Taking taylor expansion of b in b 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.628 * [backup-simplify]: Simplify (/ 1 1) into 1 2.628 * [taylor]: Taking taylor expansion of PI in b 2.628 * [backup-simplify]: Simplify PI into PI 2.628 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.628 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.628 * [taylor]: Taking taylor expansion of b in b 2.628 * [backup-simplify]: Simplify 0 into 0 2.628 * [backup-simplify]: Simplify 1 into 1 2.628 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.628 * [taylor]: Taking taylor expansion of a in b 2.628 * [backup-simplify]: Simplify a into a 2.628 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.629 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.629 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.630 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 2.630 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.630 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.631 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.631 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 2.631 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.631 * [taylor]: Taking taylor expansion of 0.5 in b 2.631 * [backup-simplify]: Simplify 0.5 into 0.5 2.631 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.631 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.631 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.631 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.631 * [taylor]: Taking taylor expansion of 1.0 in b 2.632 * [backup-simplify]: Simplify 1.0 into 1.0 2.632 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.632 * [taylor]: Taking taylor expansion of a in b 2.632 * [backup-simplify]: Simplify a into a 2.632 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.632 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.632 * [taylor]: Taking taylor expansion of 1.0 in b 2.632 * [backup-simplify]: Simplify 1.0 into 1.0 2.632 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.632 * [taylor]: Taking taylor expansion of b in b 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 1 into 1 2.632 * [backup-simplify]: Simplify (/ 1 1) into 1 2.632 * [taylor]: Taking taylor expansion of PI in b 2.632 * [backup-simplify]: Simplify PI into PI 2.632 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.632 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.632 * [taylor]: Taking taylor expansion of b in b 2.632 * [backup-simplify]: Simplify 0 into 0 2.632 * [backup-simplify]: Simplify 1 into 1 2.632 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.632 * [taylor]: Taking taylor expansion of a in b 2.632 * [backup-simplify]: Simplify a into a 2.633 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.633 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.634 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.635 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 2.635 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.635 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.635 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.636 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 2.636 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 2.636 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.636 * [taylor]: Taking taylor expansion of 0.5 in a 2.636 * [backup-simplify]: Simplify 0.5 into 0.5 2.636 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.636 * [taylor]: Taking taylor expansion of PI in a 2.636 * [backup-simplify]: Simplify PI into PI 2.636 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.636 * [taylor]: Taking taylor expansion of a in a 2.636 * [backup-simplify]: Simplify 0 into 0 2.636 * [backup-simplify]: Simplify 1 into 1 2.637 * [backup-simplify]: Simplify (* 1 1) into 1 2.637 * [backup-simplify]: Simplify (/ PI 1) into PI 2.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.639 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.639 * [backup-simplify]: Simplify 0 into 0 2.639 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 2.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.641 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.641 * [backup-simplify]: Simplify (- 0) into 0 2.641 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 2.642 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 2.642 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.642 * [backup-simplify]: Simplify (- 0) into 0 2.643 * [backup-simplify]: Simplify (+ 0 0) into 0 2.643 * [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)))) 2.644 * [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)))) 2.644 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 2.644 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 2.644 * [taylor]: Taking taylor expansion of 0.5 in a 2.644 * [backup-simplify]: Simplify 0.5 into 0.5 2.644 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 2.644 * [taylor]: Taking taylor expansion of PI in a 2.644 * [backup-simplify]: Simplify PI into PI 2.644 * [taylor]: Taking taylor expansion of (pow a 3) in a 2.644 * [taylor]: Taking taylor expansion of a in a 2.644 * [backup-simplify]: Simplify 0 into 0 2.644 * [backup-simplify]: Simplify 1 into 1 2.645 * [backup-simplify]: Simplify (* 1 1) into 1 2.645 * [backup-simplify]: Simplify (* 1 1) into 1 2.645 * [backup-simplify]: Simplify (/ PI 1) into PI 2.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.651 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.651 * [backup-simplify]: Simplify (- 0) into 0 2.651 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.654 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.654 * [backup-simplify]: Simplify 0 into 0 2.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.655 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 2.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.656 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 2.657 * [backup-simplify]: Simplify (- 0) into 0 2.657 * [backup-simplify]: Simplify (+ 0 0) into 0 2.658 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 2.659 * [backup-simplify]: Simplify (* 1 1) into 1 2.659 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.659 * [backup-simplify]: Simplify (- 0) into 0 2.660 * [backup-simplify]: Simplify (+ 1 0) into 1 2.661 * [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))) 2.661 * [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))) 2.661 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.661 * [taylor]: Taking taylor expansion of 0.5 in a 2.661 * [backup-simplify]: Simplify 0.5 into 0.5 2.661 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.662 * [taylor]: Taking taylor expansion of PI in a 2.662 * [backup-simplify]: Simplify PI into PI 2.662 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.662 * [taylor]: Taking taylor expansion of a in a 2.662 * [backup-simplify]: Simplify 0 into 0 2.662 * [backup-simplify]: Simplify 1 into 1 2.662 * [backup-simplify]: Simplify (* 1 1) into 1 2.662 * [backup-simplify]: Simplify (* 1 1) into 1 2.663 * [backup-simplify]: Simplify (/ PI 1) into PI 2.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.669 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.671 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.672 * [backup-simplify]: Simplify 0 into 0 2.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.674 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.675 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.676 * [backup-simplify]: Simplify (- 0) into 0 2.676 * [backup-simplify]: Simplify 0 into 0 2.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.679 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.679 * [backup-simplify]: Simplify 0 into 0 2.681 * [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))))) 2.681 * [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 2.681 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.681 * [taylor]: Taking taylor expansion of 0.5 in a 2.681 * [backup-simplify]: Simplify 0.5 into 0.5 2.681 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.681 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 2.681 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 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 (* 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 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) 2.682 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.682 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.682 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.682 * [taylor]: Taking taylor expansion of a in a 2.682 * [backup-simplify]: Simplify 0 into 0 2.682 * [backup-simplify]: Simplify 1 into 1 2.682 * [backup-simplify]: Simplify (* 1 1) into 1 2.682 * [backup-simplify]: Simplify (/ 1 1) into 1 2.683 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.683 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 2.683 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 2.683 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 2.683 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 2.684 * [backup-simplify]: Simplify (- 1) into -1 2.684 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.684 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 2.684 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.684 * [taylor]: Taking taylor expansion of 0.5 in b 2.684 * [backup-simplify]: Simplify 0.5 into 0.5 2.684 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.684 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.684 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.684 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.684 * [taylor]: Taking taylor expansion of 1.0 in b 2.684 * [backup-simplify]: Simplify 1.0 into 1.0 2.684 * [taylor]: Taking taylor expansion of a in b 2.684 * [backup-simplify]: Simplify a into a 2.684 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.685 * [taylor]: Taking taylor expansion of 1.0 in b 2.685 * [backup-simplify]: Simplify 1.0 into 1.0 2.685 * [taylor]: Taking taylor expansion of b in b 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 1 into 1 2.685 * [taylor]: Taking taylor expansion of PI in b 2.685 * [backup-simplify]: Simplify PI into PI 2.685 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.685 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.685 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.685 * [taylor]: Taking taylor expansion of b in b 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 1 into 1 2.685 * [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) 2.686 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.686 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.686 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.687 * [backup-simplify]: Simplify (- 0) into 0 2.687 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) 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)) 2.687 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.687 * [taylor]: Taking taylor expansion of 0.5 in b 2.687 * [backup-simplify]: Simplify 0.5 into 0.5 2.688 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.688 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.688 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.688 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.688 * [taylor]: Taking taylor expansion of 1.0 in b 2.688 * [backup-simplify]: Simplify 1.0 into 1.0 2.688 * [taylor]: Taking taylor expansion of a in b 2.688 * [backup-simplify]: Simplify a into a 2.688 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.688 * [taylor]: Taking taylor expansion of 1.0 in b 2.688 * [backup-simplify]: Simplify 1.0 into 1.0 2.688 * [taylor]: Taking taylor expansion of b in b 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 b 2.688 * [backup-simplify]: Simplify PI into PI 2.688 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.688 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.688 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.688 * [taylor]: Taking taylor expansion of b in b 2.688 * [backup-simplify]: Simplify 0 into 0 2.688 * [backup-simplify]: Simplify 1 into 1 2.688 * [backup-simplify]: Simplify (* 1 1) into 1 2.689 * [backup-simplify]: Simplify (/ 1 1) into 1 2.689 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.689 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.689 * [taylor]: Taking taylor expansion of a in b 2.689 * [backup-simplify]: Simplify a into a 2.689 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.689 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.689 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.690 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.690 * [backup-simplify]: Simplify (- 0) into 0 2.690 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 2.690 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 2.691 * [backup-simplify]: Simplify (+ 1 0) into 1 2.691 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 2.691 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 2.691 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 2.691 * [taylor]: Taking taylor expansion of 0.5 in a 2.691 * [backup-simplify]: Simplify 0.5 into 0.5 2.691 * [taylor]: Taking taylor expansion of (* a PI) in a 2.691 * [taylor]: Taking taylor expansion of a in a 2.691 * [backup-simplify]: Simplify 0 into 0 2.691 * [backup-simplify]: Simplify 1 into 1 2.691 * [taylor]: Taking taylor expansion of PI in a 2.691 * [backup-simplify]: Simplify PI into PI 2.692 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.694 * [backup-simplify]: Simplify (* 0 PI) into 0 2.695 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 2.695 * [backup-simplify]: Simplify 0 into 0 2.695 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 2.697 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.697 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.698 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.699 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 2.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.700 * [backup-simplify]: Simplify (+ 0 0) into 0 2.702 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 2.704 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 2.704 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 2.704 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.704 * [taylor]: Taking taylor expansion of 0.5 in a 2.704 * [backup-simplify]: Simplify 0.5 into 0.5 2.704 * [taylor]: Taking taylor expansion of PI in a 2.704 * [backup-simplify]: Simplify PI into PI 2.704 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.705 * [backup-simplify]: Simplify (- 0) into 0 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.714 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.714 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 2.716 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.717 * [backup-simplify]: Simplify (- 0) into 0 2.717 * [backup-simplify]: Simplify (+ 0 0) into 0 2.718 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.719 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 2.720 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 2.721 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.721 * [taylor]: Taking taylor expansion of 0.5 in a 2.721 * [backup-simplify]: Simplify 0.5 into 0.5 2.721 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.721 * [taylor]: Taking taylor expansion of PI in a 2.721 * [backup-simplify]: Simplify PI into PI 2.721 * [taylor]: Taking taylor expansion of a in a 2.721 * [backup-simplify]: Simplify 0 into 0 2.721 * [backup-simplify]: Simplify 1 into 1 2.721 * [backup-simplify]: Simplify (/ PI 1) into PI 2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.724 * [backup-simplify]: Simplify 0 into 0 2.724 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.725 * [backup-simplify]: Simplify (- 0) into 0 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.726 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 0 into 0 2.727 * [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))))) 2.727 * [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 2.727 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.727 * [taylor]: Taking taylor expansion of 0.5 in a 2.727 * [backup-simplify]: Simplify 0.5 into 0.5 2.727 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.727 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 2.727 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 2.727 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.727 * [taylor]: Taking taylor expansion of 1.0 in a 2.727 * [backup-simplify]: Simplify 1.0 into 1.0 2.727 * [taylor]: Taking taylor expansion of b in a 2.727 * [backup-simplify]: Simplify b into b 2.727 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.727 * [taylor]: Taking taylor expansion of 1.0 in a 2.727 * [backup-simplify]: Simplify 1.0 into 1.0 2.727 * [taylor]: Taking taylor expansion of a in a 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 1 into 1 2.727 * [taylor]: Taking taylor expansion of PI in a 2.727 * [backup-simplify]: Simplify PI into PI 2.727 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.727 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.727 * [taylor]: Taking taylor expansion of b in a 2.727 * [backup-simplify]: Simplify b into b 2.727 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.727 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.727 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.727 * [taylor]: Taking taylor expansion of a in a 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 1 into 1 2.728 * [backup-simplify]: Simplify (* 1 1) into 1 2.728 * [backup-simplify]: Simplify (/ 1 1) into 1 2.728 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 2.728 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.728 * [backup-simplify]: Simplify (- 0) into 0 2.728 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 2.729 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 2.729 * [backup-simplify]: Simplify (- 1) into -1 2.729 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.729 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) -1) into (* -1.0 (* b PI)) 2.729 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.729 * [taylor]: Taking taylor expansion of 0.5 in b 2.729 * [backup-simplify]: Simplify 0.5 into 0.5 2.729 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.729 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 2.729 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.729 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.729 * [taylor]: Taking taylor expansion of 1.0 in b 2.729 * [backup-simplify]: Simplify 1.0 into 1.0 2.729 * [taylor]: Taking taylor expansion of b in b 2.729 * [backup-simplify]: Simplify 0 into 0 2.729 * [backup-simplify]: Simplify 1 into 1 2.729 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.729 * [taylor]: Taking taylor expansion of 1.0 in b 2.729 * [backup-simplify]: Simplify 1.0 into 1.0 2.729 * [taylor]: Taking taylor expansion of a in b 2.729 * [backup-simplify]: Simplify a into a 2.729 * [taylor]: Taking taylor expansion of PI in b 2.729 * [backup-simplify]: Simplify PI into PI 2.729 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.729 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.730 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.730 * [taylor]: Taking taylor expansion of b in b 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.730 * [backup-simplify]: Simplify (* 1 1) into 1 2.730 * [backup-simplify]: Simplify (/ 1 1) into 1 2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.730 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.730 * [taylor]: Taking taylor expansion of a in b 2.730 * [backup-simplify]: Simplify a into a 2.730 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.730 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.731 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.731 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.731 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 2.731 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 2.731 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 2.731 * [backup-simplify]: Simplify (+ 1 0) into 1 2.731 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 2.731 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.731 * [taylor]: Taking taylor expansion of 0.5 in b 2.731 * [backup-simplify]: Simplify 0.5 into 0.5 2.731 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.731 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 2.731 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.731 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.731 * [taylor]: Taking taylor expansion of 1.0 in b 2.731 * [backup-simplify]: Simplify 1.0 into 1.0 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 2.731 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.731 * [taylor]: Taking taylor expansion of 1.0 in b 2.731 * [backup-simplify]: Simplify 1.0 into 1.0 2.731 * [taylor]: Taking taylor expansion of a in b 2.731 * [backup-simplify]: Simplify a into a 2.731 * [taylor]: Taking taylor expansion of PI in b 2.731 * [backup-simplify]: Simplify PI into PI 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 2.732 * [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 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.733 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.733 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 2.733 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 2.733 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 2.733 * [backup-simplify]: Simplify (+ 1 0) into 1 2.733 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 2.733 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (* a PI))) into (* -0.5 (* a PI)) 2.733 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 2.733 * [taylor]: Taking taylor expansion of -0.5 in a 2.733 * [backup-simplify]: Simplify -0.5 into -0.5 2.733 * [taylor]: Taking taylor expansion of (* a PI) in a 2.733 * [taylor]: Taking taylor expansion of a in a 2.733 * [backup-simplify]: Simplify 0 into 0 2.733 * [backup-simplify]: Simplify 1 into 1 2.733 * [taylor]: Taking taylor expansion of PI in a 2.733 * [backup-simplify]: Simplify PI into PI 2.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.735 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.735 * [backup-simplify]: Simplify (* 0 PI) into 0 2.736 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 2.736 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.737 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 2.737 * [backup-simplify]: Simplify (- 0) into 0 2.737 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.738 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 2.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.739 * [backup-simplify]: Simplify (+ 0 0) into 0 2.740 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)))) into (* 1.0 PI) 2.740 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 PI)) (* 0 (* -1.0 (* a PI)))) into (* 0.5 PI) 2.740 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.740 * [taylor]: Taking taylor expansion of 0.5 in a 2.740 * [backup-simplify]: Simplify 0.5 into 0.5 2.740 * [taylor]: Taking taylor expansion of PI in a 2.740 * [backup-simplify]: Simplify PI into PI 2.741 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.741 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.742 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.743 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.743 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 2.744 * [backup-simplify]: Simplify (- 0) into 0 2.744 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 2.745 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.746 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (* 1.0 PI) (/ 0 1)))) into (- (* 1.0 (/ PI a))) 2.747 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI a)))) (+ (* 0 (* 1.0 PI)) (* 0 (* -1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 2.747 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 2.747 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.747 * [taylor]: Taking taylor expansion of 0.5 in a 2.747 * [backup-simplify]: Simplify 0.5 into 0.5 2.747 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.747 * [taylor]: Taking taylor expansion of PI in a 2.747 * [backup-simplify]: Simplify PI into PI 2.747 * [taylor]: Taking taylor expansion of a in a 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (/ PI 1) into PI 2.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.750 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.750 * [backup-simplify]: Simplify (- 0) into 0 2.750 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.752 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.753 * [backup-simplify]: Simplify (- (* b b) (* a a)) into (- (pow b 2) (pow a 2)) 2.753 * [approximate]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in (b a) around 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 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.753 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.753 * [taylor]: Taking taylor expansion of b in b 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.753 * [taylor]: Taking taylor expansion of a in b 2.753 * [backup-simplify]: Simplify a into a 2.753 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.753 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.753 * [taylor]: Taking taylor expansion of b in b 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.753 * [taylor]: Taking taylor expansion of a in b 2.753 * [backup-simplify]: Simplify a into a 2.753 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.753 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.753 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.753 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 2.754 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.754 * [taylor]: Taking taylor expansion of a in a 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 1 into 1 2.754 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.754 * [backup-simplify]: Simplify (- 0) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.754 * [taylor]: Taking taylor expansion of 0 in a 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify 0 into 0 2.754 * [backup-simplify]: Simplify (* 1 1) into 1 2.755 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.755 * [backup-simplify]: Simplify (- 0) into 0 2.755 * [backup-simplify]: Simplify (+ 1 0) into 1 2.755 * [taylor]: Taking taylor expansion of 1 in a 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify 1 into 1 2.755 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify (* 1 1) into 1 2.756 * [backup-simplify]: Simplify (- 1) into -1 2.756 * [backup-simplify]: Simplify -1 into -1 2.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.757 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 2.757 * [backup-simplify]: Simplify (- 0) into 0 2.757 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [taylor]: Taking taylor expansion of 0 in a 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.757 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.758 * [backup-simplify]: Simplify (- 0) into 0 2.758 * [backup-simplify]: Simplify 0 into 0 2.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.759 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 2.759 * [backup-simplify]: Simplify (- 0) into 0 2.759 * [backup-simplify]: Simplify (+ 0 0) into 0 2.759 * [taylor]: Taking taylor expansion of 0 in a 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify (+ (* -1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) 2.760 * [backup-simplify]: Simplify (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.760 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.760 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.760 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.760 * [taylor]: Taking taylor expansion of b in a 2.760 * [backup-simplify]: Simplify b into b 2.760 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.760 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.760 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.760 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.760 * [taylor]: Taking taylor expansion of a in a 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (* 1 1) into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.761 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.761 * [taylor]: Taking taylor expansion of b in b 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (* 1 1) into 1 2.761 * [backup-simplify]: Simplify (/ 1 1) into 1 2.761 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.761 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.761 * [taylor]: Taking taylor expansion of a in b 2.762 * [backup-simplify]: Simplify a into a 2.762 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.762 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.762 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.762 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.762 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.762 * [taylor]: Taking taylor expansion of b in b 2.762 * [backup-simplify]: Simplify 0 into 0 2.762 * [backup-simplify]: Simplify 1 into 1 2.762 * [backup-simplify]: Simplify (* 1 1) into 1 2.762 * [backup-simplify]: Simplify (/ 1 1) into 1 2.762 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.762 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.762 * [taylor]: Taking taylor expansion of a in b 2.762 * [backup-simplify]: Simplify a into a 2.762 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.762 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.763 * [backup-simplify]: Simplify (+ 1 0) into 1 2.763 * [taylor]: Taking taylor expansion of 1 in a 2.763 * [backup-simplify]: Simplify 1 into 1 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [taylor]: Taking taylor expansion of 0 in a 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.765 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.765 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.765 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.765 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.765 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.765 * [taylor]: Taking taylor expansion of a in a 2.765 * [backup-simplify]: Simplify 0 into 0 2.765 * [backup-simplify]: Simplify 1 into 1 2.766 * [backup-simplify]: Simplify (* 1 1) into 1 2.766 * [backup-simplify]: Simplify (/ 1 1) into 1 2.766 * [backup-simplify]: Simplify (- 1) into -1 2.766 * [backup-simplify]: Simplify -1 into -1 2.766 * [backup-simplify]: Simplify 1 into 1 2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.767 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.768 * [backup-simplify]: Simplify (- 0) into 0 2.768 * [backup-simplify]: Simplify (+ 0 0) into 0 2.768 * [taylor]: Taking taylor expansion of 0 in a 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (- 0) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.771 * [backup-simplify]: Simplify (- 0) into 0 2.771 * [backup-simplify]: Simplify (+ 0 0) into 0 2.771 * [taylor]: Taking taylor expansion of 0 in a 2.771 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.773 * [backup-simplify]: Simplify (- 0) into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) 2.773 * [backup-simplify]: Simplify (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.773 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.773 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.773 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.773 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.773 * [taylor]: Taking taylor expansion of b in a 2.773 * [backup-simplify]: Simplify b into b 2.773 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.773 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.773 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.773 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.773 * [taylor]: Taking taylor expansion of a in a 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 1 into 1 2.774 * [backup-simplify]: Simplify (* 1 1) into 1 2.774 * [backup-simplify]: Simplify (/ 1 1) into 1 2.774 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.774 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.774 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.774 * [taylor]: Taking taylor expansion of b in b 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 1 into 1 2.774 * [backup-simplify]: Simplify (* 1 1) into 1 2.775 * [backup-simplify]: Simplify (/ 1 1) into 1 2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.775 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.775 * [taylor]: Taking taylor expansion of a in b 2.775 * [backup-simplify]: Simplify a into a 2.775 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.775 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.775 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.775 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.775 * [taylor]: Taking taylor expansion of b in b 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.776 * [backup-simplify]: Simplify (/ 1 1) into 1 2.776 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.776 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.776 * [taylor]: Taking taylor expansion of a in b 2.776 * [backup-simplify]: Simplify a into a 2.776 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.776 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.776 * [backup-simplify]: Simplify (+ 1 0) into 1 2.776 * [taylor]: Taking taylor expansion of 1 in a 2.776 * [backup-simplify]: Simplify 1 into 1 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.777 * [taylor]: Taking taylor expansion of 0 in a 2.777 * [backup-simplify]: Simplify 0 into 0 2.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.778 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.778 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.778 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.778 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.778 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.778 * [taylor]: Taking taylor expansion of a in a 2.778 * [backup-simplify]: Simplify 0 into 0 2.779 * [backup-simplify]: Simplify 1 into 1 2.779 * [backup-simplify]: Simplify (* 1 1) into 1 2.779 * [backup-simplify]: Simplify (/ 1 1) into 1 2.779 * [backup-simplify]: Simplify (- 1) into -1 2.779 * [backup-simplify]: Simplify -1 into -1 2.779 * [backup-simplify]: Simplify 1 into 1 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.781 * [backup-simplify]: Simplify (- 0) into 0 2.781 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [taylor]: Taking taylor expansion of 0 in a 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 2.782 * [backup-simplify]: Simplify 0 into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.784 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.784 * [backup-simplify]: Simplify (- 0) into 0 2.784 * [backup-simplify]: Simplify (+ 0 0) into 0 2.784 * [taylor]: Taking taylor expansion of 0 in a 2.784 * [backup-simplify]: Simplify 0 into 0 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.786 * [backup-simplify]: Simplify (- 0) into 0 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) 2.786 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.786 * [backup-simplify]: Simplify (/ 1.0 (- (* b b) (* a a))) into (/ 1.0 (- (pow b 2) (pow a 2))) 2.786 * [approximate]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in (b a) around 0 2.786 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in a 2.786 * [taylor]: Taking taylor expansion of 1.0 in a 2.786 * [backup-simplify]: Simplify 1.0 into 1.0 2.786 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.786 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.786 * [taylor]: Taking taylor expansion of b in a 2.786 * [backup-simplify]: Simplify b into b 2.786 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.786 * [taylor]: Taking taylor expansion of a in a 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.786 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.787 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.787 * [backup-simplify]: Simplify (/ 1.0 (pow b 2)) into (/ 1.0 (pow b 2)) 2.787 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.787 * [taylor]: Taking taylor expansion of 1.0 in b 2.787 * [backup-simplify]: Simplify 1.0 into 1.0 2.787 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.787 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.787 * [taylor]: Taking taylor expansion of b in b 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.787 * [taylor]: Taking taylor expansion of a in b 2.787 * [backup-simplify]: Simplify a into a 2.787 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.787 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.787 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.787 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 2.787 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.787 * [taylor]: Taking taylor expansion of 1.0 in b 2.787 * [backup-simplify]: Simplify 1.0 into 1.0 2.787 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.787 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.787 * [taylor]: Taking taylor expansion of b in b 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.787 * [taylor]: Taking taylor expansion of a in b 2.787 * [backup-simplify]: Simplify a into a 2.787 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.788 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.788 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.788 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 2.788 * [taylor]: Taking taylor expansion of (/ -1.0 (pow a 2)) in a 2.788 * [taylor]: Taking taylor expansion of -1.0 in a 2.788 * [backup-simplify]: Simplify -1.0 into -1.0 2.788 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.788 * [taylor]: Taking taylor expansion of a in a 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (* 1 1) into 1 2.788 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.790 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.791 * [backup-simplify]: Simplify (- 0) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.791 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 0 (- (pow a 2)))))) into 0 2.791 * [taylor]: Taking taylor expansion of 0 in a 2.791 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.792 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify (* 1 1) into 1 2.793 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.793 * [backup-simplify]: Simplify (- 0) into 0 2.793 * [backup-simplify]: Simplify (+ 1 0) into 1 2.794 * [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)))) 2.794 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 4)))) in a 2.794 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 4))) in a 2.794 * [taylor]: Taking taylor expansion of 1.0 in a 2.794 * [backup-simplify]: Simplify 1.0 into 1.0 2.794 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 2.794 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.794 * [taylor]: Taking taylor expansion of a in a 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [backup-simplify]: Simplify (* 1 1) into 1 2.794 * [backup-simplify]: Simplify (* 1 1) into 1 2.795 * [backup-simplify]: Simplify (/ 1 1) into 1 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.802 * [backup-simplify]: Simplify (- 0) into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.802 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 2.809 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.809 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.809 * [taylor]: Taking taylor expansion of 1.0 in a 2.809 * [backup-simplify]: Simplify 1.0 into 1.0 2.809 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.809 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.809 * [taylor]: Taking taylor expansion of b in a 2.809 * [backup-simplify]: Simplify b into b 2.809 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.809 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.809 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.809 * [taylor]: Taking taylor expansion of a in a 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [backup-simplify]: Simplify (/ 1 1) into 1 2.811 * [backup-simplify]: Simplify (- 1) into -1 2.811 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.811 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 2.811 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.811 * [taylor]: Taking taylor expansion of 1.0 in b 2.811 * [backup-simplify]: Simplify 1.0 into 1.0 2.811 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.811 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.811 * [taylor]: Taking taylor expansion of b in b 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (* 1 1) into 1 2.812 * [backup-simplify]: Simplify (/ 1 1) into 1 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.812 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.812 * [taylor]: Taking taylor expansion of a in b 2.812 * [backup-simplify]: Simplify a into a 2.812 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.812 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.812 * [backup-simplify]: Simplify (+ 1 0) into 1 2.813 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.813 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.813 * [taylor]: Taking taylor expansion of 1.0 in b 2.813 * [backup-simplify]: Simplify 1.0 into 1.0 2.813 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.813 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.813 * [taylor]: Taking taylor expansion of b in b 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.813 * [backup-simplify]: Simplify (* 1 1) into 1 2.813 * [backup-simplify]: Simplify (/ 1 1) into 1 2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.813 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.813 * [taylor]: Taking taylor expansion of a in b 2.813 * [backup-simplify]: Simplify a into a 2.813 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.813 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.814 * [backup-simplify]: Simplify (+ 1 0) into 1 2.814 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.814 * [taylor]: Taking taylor expansion of 1.0 in a 2.814 * [backup-simplify]: Simplify 1.0 into 1.0 2.814 * [backup-simplify]: Simplify 0 into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (+ 0 0) into 0 2.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 2.816 * [taylor]: Taking taylor expansion of 0 in a 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.817 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 2.818 * [taylor]: Taking taylor expansion of (* 1.0 (/ 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 a 2)) in a 2.818 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.818 * [taylor]: Taking taylor expansion of a in a 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 1 into 1 2.818 * [backup-simplify]: Simplify (* 1 1) into 1 2.819 * [backup-simplify]: Simplify (/ 1 1) into 1 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 2.824 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 2.824 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.824 * [taylor]: Taking taylor expansion of 1.0 in a 2.824 * [backup-simplify]: Simplify 1.0 into 1.0 2.824 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.824 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.824 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.824 * [taylor]: Taking taylor expansion of b in a 2.824 * [backup-simplify]: Simplify b into b 2.824 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.824 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.824 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.824 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.824 * [taylor]: Taking taylor expansion of a in a 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (* 1 1) into 1 2.825 * [backup-simplify]: Simplify (/ 1 1) into 1 2.825 * [backup-simplify]: Simplify (- 1) into -1 2.825 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.826 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 2.826 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.826 * [taylor]: Taking taylor expansion of 1.0 in b 2.826 * [backup-simplify]: Simplify 1.0 into 1.0 2.826 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.826 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.826 * [taylor]: Taking taylor expansion of b in b 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.826 * [backup-simplify]: Simplify (* 1 1) into 1 2.826 * [backup-simplify]: Simplify (/ 1 1) into 1 2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.826 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.826 * [taylor]: Taking taylor expansion of a in b 2.826 * [backup-simplify]: Simplify a into a 2.827 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.827 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.827 * [backup-simplify]: Simplify (+ 1 0) into 1 2.827 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.827 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.827 * [taylor]: Taking taylor expansion of 1.0 in b 2.827 * [backup-simplify]: Simplify 1.0 into 1.0 2.827 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.827 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.827 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.827 * [taylor]: Taking taylor expansion of b in b 2.827 * [backup-simplify]: Simplify 0 into 0 2.827 * [backup-simplify]: Simplify 1 into 1 2.828 * [backup-simplify]: Simplify (* 1 1) into 1 2.828 * [backup-simplify]: Simplify (/ 1 1) into 1 2.828 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.828 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.828 * [taylor]: Taking taylor expansion of a in b 2.828 * [backup-simplify]: Simplify a into a 2.828 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.828 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.828 * [backup-simplify]: Simplify (+ 1 0) into 1 2.829 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 2.829 * [taylor]: Taking taylor expansion of 1.0 in a 2.829 * [backup-simplify]: Simplify 1.0 into 1.0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ 0 0) into 0 2.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 2.830 * [taylor]: Taking taylor expansion of 0 in a 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.832 * [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 2.833 * [backup-simplify]: Simplify (* 1 1) into 1 2.833 * [backup-simplify]: Simplify (/ 1 1) into 1 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 2.840 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) into (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) 2.840 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in (b a) around 0 2.840 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in a 2.840 * [taylor]: Taking taylor expansion of 0.5 in a 2.840 * [backup-simplify]: Simplify 0.5 into 0.5 2.840 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in a 2.840 * [taylor]: Taking taylor expansion of PI in a 2.840 * [backup-simplify]: Simplify PI into PI 2.840 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.840 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.840 * [taylor]: Taking taylor expansion of b in a 2.840 * [backup-simplify]: Simplify b into b 2.840 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.840 * [taylor]: Taking taylor expansion of a in a 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.840 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.840 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.840 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 2.840 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 2.840 * [taylor]: Taking taylor expansion of 0.5 in b 2.840 * [backup-simplify]: Simplify 0.5 into 0.5 2.840 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 2.840 * [taylor]: Taking taylor expansion of PI in b 2.840 * [backup-simplify]: Simplify PI into PI 2.840 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.840 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.840 * [taylor]: Taking taylor expansion of b in b 2.840 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify 1 into 1 2.841 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.841 * [taylor]: Taking taylor expansion of a in b 2.841 * [backup-simplify]: Simplify a into a 2.841 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.841 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.841 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.841 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 2.841 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 2.841 * [taylor]: Taking taylor expansion of 0.5 in b 2.841 * [backup-simplify]: Simplify 0.5 into 0.5 2.841 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 2.841 * [taylor]: Taking taylor expansion of PI in b 2.841 * [backup-simplify]: Simplify PI into PI 2.841 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.841 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.841 * [taylor]: Taking taylor expansion of b in b 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.841 * [taylor]: Taking taylor expansion of a in b 2.841 * [backup-simplify]: Simplify a into a 2.841 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.841 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.841 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.842 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 2.842 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI (pow a 2)))) into (* -0.5 (/ PI (pow a 2))) 2.842 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 2.842 * [taylor]: Taking taylor expansion of -0.5 in a 2.842 * [backup-simplify]: Simplify -0.5 into -0.5 2.842 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.842 * [taylor]: Taking taylor expansion of PI in a 2.842 * [backup-simplify]: Simplify PI into PI 2.842 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.842 * [taylor]: Taking taylor expansion of a in a 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (* 1 1) into 1 2.843 * [backup-simplify]: Simplify (/ PI 1) into PI 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.846 * [backup-simplify]: Simplify (- 0) into 0 2.846 * [backup-simplify]: Simplify (+ 0 0) into 0 2.846 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into 0 2.847 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (/ PI (pow a 2))))) into 0 2.847 * [taylor]: Taking taylor expansion of 0 in a 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify 0 into 0 2.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.849 * [backup-simplify]: Simplify 0 into 0 2.849 * [backup-simplify]: Simplify (* 1 1) into 1 2.849 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.850 * [backup-simplify]: Simplify (- 0) into 0 2.850 * [backup-simplify]: Simplify (+ 1 0) into 1 2.851 * [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))) 2.851 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 4)))) (+ (* 0 0) (* 0 (* -1 (/ PI (pow a 2)))))) into (- (* 0.5 (/ PI (pow a 4)))) 2.851 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 4)))) in a 2.852 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.852 * [taylor]: Taking taylor expansion of 0.5 in a 2.852 * [backup-simplify]: Simplify 0.5 into 0.5 2.852 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.852 * [taylor]: Taking taylor expansion of PI in a 2.852 * [backup-simplify]: Simplify PI into PI 2.852 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.852 * [taylor]: Taking taylor expansion of a in a 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [backup-simplify]: Simplify (* 1 1) into 1 2.852 * [backup-simplify]: Simplify (* 1 1) into 1 2.853 * [backup-simplify]: Simplify (/ PI 1) into PI 2.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.865 * [backup-simplify]: Simplify (- 0) into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.869 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [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))))) 2.870 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.870 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.870 * [taylor]: Taking taylor expansion of 0.5 in a 2.870 * [backup-simplify]: Simplify 0.5 into 0.5 2.870 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.870 * [taylor]: Taking taylor expansion of PI in a 2.870 * [backup-simplify]: Simplify PI into PI 2.870 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.870 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.870 * [taylor]: Taking taylor expansion of b in a 2.870 * [backup-simplify]: Simplify b into b 2.870 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.870 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.870 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.870 * [taylor]: Taking taylor expansion of a in a 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 1 into 1 2.871 * [backup-simplify]: Simplify (* 1 1) into 1 2.871 * [backup-simplify]: Simplify (/ 1 1) into 1 2.871 * [backup-simplify]: Simplify (- 1) into -1 2.872 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.872 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.872 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.872 * [taylor]: Taking taylor expansion of 0.5 in b 2.872 * [backup-simplify]: Simplify 0.5 into 0.5 2.872 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.872 * [taylor]: Taking taylor expansion of PI in b 2.872 * [backup-simplify]: Simplify PI into PI 2.872 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.872 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.872 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.873 * [taylor]: Taking taylor expansion of b in b 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.873 * [backup-simplify]: Simplify (* 1 1) into 1 2.873 * [backup-simplify]: Simplify (/ 1 1) into 1 2.873 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.873 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.873 * [taylor]: Taking taylor expansion of a in b 2.873 * [backup-simplify]: Simplify a into a 2.873 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.874 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.874 * [backup-simplify]: Simplify (+ 1 0) into 1 2.875 * [backup-simplify]: Simplify (/ PI 1) into PI 2.875 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.875 * [taylor]: Taking taylor expansion of 0.5 in b 2.875 * [backup-simplify]: Simplify 0.5 into 0.5 2.875 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.875 * [taylor]: Taking taylor expansion of PI in b 2.875 * [backup-simplify]: Simplify PI into PI 2.875 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.875 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.875 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.875 * [taylor]: Taking taylor expansion of b in b 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (* 1 1) into 1 2.876 * [backup-simplify]: Simplify (/ 1 1) into 1 2.876 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.876 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.876 * [taylor]: Taking taylor expansion of a in b 2.876 * [backup-simplify]: Simplify a into a 2.876 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.876 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.877 * [backup-simplify]: Simplify (+ 1 0) into 1 2.877 * [backup-simplify]: Simplify (/ PI 1) into PI 2.878 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 2.878 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.878 * [taylor]: Taking taylor expansion of 0.5 in a 2.878 * [backup-simplify]: Simplify 0.5 into 0.5 2.878 * [taylor]: Taking taylor expansion of PI in a 2.878 * [backup-simplify]: Simplify PI into PI 2.879 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.880 * [backup-simplify]: Simplify (+ 0 0) into 0 2.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.882 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.882 * [taylor]: Taking taylor expansion of 0 in a 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.885 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 2.887 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 2.888 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.888 * [taylor]: Taking taylor expansion of 0.5 in a 2.888 * [backup-simplify]: Simplify 0.5 into 0.5 2.888 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.888 * [taylor]: Taking taylor expansion of PI in a 2.888 * [backup-simplify]: Simplify PI into PI 2.888 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.888 * [taylor]: Taking taylor expansion of a in a 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (* 1 1) into 1 2.889 * [backup-simplify]: Simplify (/ PI 1) into PI 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.897 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 0 into 0 2.900 * [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))))) 2.900 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.900 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.900 * [taylor]: Taking taylor expansion of 0.5 in a 2.900 * [backup-simplify]: Simplify 0.5 into 0.5 2.900 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.900 * [taylor]: Taking taylor expansion of PI in a 2.900 * [backup-simplify]: Simplify PI into PI 2.900 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.900 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.900 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.900 * [taylor]: Taking taylor expansion of b in a 2.900 * [backup-simplify]: Simplify b into b 2.900 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.900 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.900 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.900 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.900 * [taylor]: Taking taylor expansion of a in a 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (* 1 1) into 1 2.901 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [backup-simplify]: Simplify (- 1) into -1 2.902 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.902 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 2.902 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.902 * [taylor]: Taking taylor expansion of 0.5 in b 2.902 * [backup-simplify]: Simplify 0.5 into 0.5 2.902 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.902 * [taylor]: Taking taylor expansion of PI in b 2.903 * [backup-simplify]: Simplify PI into PI 2.903 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.903 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.903 * [taylor]: Taking taylor expansion of b in b 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 1 into 1 2.903 * [backup-simplify]: Simplify (* 1 1) into 1 2.903 * [backup-simplify]: Simplify (/ 1 1) into 1 2.903 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.903 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.903 * [taylor]: Taking taylor expansion of a in b 2.903 * [backup-simplify]: Simplify a into a 2.904 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.904 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.904 * [backup-simplify]: Simplify (+ 1 0) into 1 2.905 * [backup-simplify]: Simplify (/ PI 1) into PI 2.905 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.905 * [taylor]: Taking taylor expansion of 0.5 in b 2.905 * [backup-simplify]: Simplify 0.5 into 0.5 2.905 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.905 * [taylor]: Taking taylor expansion of PI in b 2.905 * [backup-simplify]: Simplify PI into PI 2.905 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.905 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.905 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.905 * [taylor]: Taking taylor expansion of b in b 2.905 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (* 1 1) into 1 2.906 * [backup-simplify]: Simplify (/ 1 1) into 1 2.906 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.906 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.906 * [taylor]: Taking taylor expansion of a in b 2.906 * [backup-simplify]: Simplify a into a 2.906 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.906 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.906 * [backup-simplify]: Simplify (+ 1 0) into 1 2.907 * [backup-simplify]: Simplify (/ PI 1) into PI 2.907 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 2.908 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.908 * [taylor]: Taking taylor expansion of 0.5 in a 2.908 * [backup-simplify]: Simplify 0.5 into 0.5 2.908 * [taylor]: Taking taylor expansion of PI in a 2.908 * [backup-simplify]: Simplify PI into PI 2.909 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.909 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (+ 0 0) into 0 2.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.912 * [taylor]: Taking taylor expansion of 0 in a 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.913 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.915 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.915 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 2.917 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 2.918 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.918 * [taylor]: Taking taylor expansion of 0.5 in a 2.918 * [backup-simplify]: Simplify 0.5 into 0.5 2.918 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.918 * [taylor]: Taking taylor expansion of PI in a 2.918 * [backup-simplify]: Simplify PI into PI 2.918 * [taylor]: Taking taylor expansion of (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 (/ PI 1) into PI 2.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.931 * * * [progress]: simplifying candidates 2.963 * [simplify]: Simplifying: (expm1 (* (* (/ PI 2.0) (/ 1.0 (- (* 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 3.020 * * [simplify]: Extracting # 0 : cost 0 3.023 * * [simplify]: Extracting # 1 : cost 0 3.026 * * [simplify]: Extracting # 2 : cost 0 3.030 * * [simplify]: Extracting # 3 : cost 0 3.033 * * [simplify]: Extracting # 4 : cost 0 3.037 * * [simplify]: Extracting # 5 : cost 0 3.040 * * [simplify]: Extracting # 6 : cost 0 3.048 * * [simplify]: Extracting # 7 : cost 0 3.051 * * [simplify]: Extracting # 8 : cost 0 3.054 * * [simplify]: Extracting # 9 : cost 0 3.056 * * [simplify]: iteration 0 : 886 enodes (cost 27857 ) 3.701 * * [simplify]: Extracting # 0 : cost 0 3.709 * * [simplify]: Extracting # 1 : cost 0 3.717 * * [simplify]: Extracting # 2 : cost 0 3.723 * * [simplify]: Extracting # 3 : cost 0 3.730 * * [simplify]: Extracting # 4 : cost 0 3.746 * * [simplify]: Extracting # 5 : cost 0 3.753 * * [simplify]: iteration 1 : 2290 enodes (cost 25797 ) 4.875 * * [simplify]: Extracting # 0 : cost 0 4.887 * * [simplify]: Extracting # 1 : cost 0 4.896 * * [simplify]: Extracting # 2 : cost 0 4.902 * * [simplify]: Extracting # 3 : cost 0 4.908 * * [simplify]: Extracting # 4 : cost 0 4.915 * * [simplify]: Extracting # 5 : cost 0 4.931 * * [simplify]: iteration done: 5000 enodes (cost 22403 ) 4.945 * [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)))) (* (* (/ 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 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) 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b) (cbrt b)))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (+ (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (cbrt b)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (fma 1.0 (/ 1 a) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ (sqrt 1.0) (sqrt b)) (+ (- (/ (sqrt 1.0) (sqrt b))) (/ (sqrt 1.0) (sqrt b)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (fma 1.0 (/ 1 a) (- (/ 1.0 b))) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 b) (+ -1 1)))) (* (fma 1.0 (/ 1 a) (/ (- (/ 1.0 (cbrt b))) (* (cbrt b) (cbrt b)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1 (* (cbrt b) (cbrt b))) (+ (- (/ 1.0 (cbrt b))) (/ 1.0 (cbrt b)))))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (fma 1.0 (/ 1 a) (/ (- (/ 1.0 (sqrt b))) (sqrt b))))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 (sqrt b)) (+ (/ -1 (sqrt b)) (/ 1 (sqrt b)))))) (* (* (fma 1.0 (/ 1 a) (- (/ 1.0 b))) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 b) (+ -1 1)))) (* (* (fma 1.0 (/ 1 a) (- (/ 1.0 b))) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 b) (+ -1 1)))) (* (* (fma 1.0 (/ 1 a) (- (/ 1.0 b))) (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (* (/ 1.0 (- (* b b) (* a a))) (* (/ 1.0 b) (+ -1 1)))) (* (/ 1.0 a) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 b))) (* (/ 1.0 a) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b))))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (sqrt (- (/ 1.0 a) (/ 1.0 b)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (cbrt 1.0) (cbrt 1.0))) (* (sqrt 1.0) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) 1.0) (* (/ 1.0 (- (* b b) (* a a))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (* 1.0 b) (* a 1.0))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (* PI 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* PI (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (fma b b (- (* a a))) (* a (+ (- a) a)) (expm1 (- (* b b) (* a a))) (log1p (- (* b b) (* a a))) (- (* a a)) (exp (- (* b b) (* a a))) (log (- (* b b) (* a a))) (exp (- (* b b) (* a a))) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))) (cbrt (- (* b b) (* a a))) (pow (fma b b (- (* a a))) 3) (sqrt (- (* b b) (* a a))) (sqrt (- (* b b) (* a a))) (- (pow (* b b) 3) (pow (* a a) 3)) (fma (* a a) (fma b b (* a a)) (* (pow b 3) b)) (- (* a a)) (- (* (pow b 3) b) (* a (pow a 3))) (fma b b (* a a)) (+ b a) (- b a) (- (* a a)) (expm1 (/ 1.0 (- (* b b) (* a a)))) (log1p (/ 1.0 (- (* b b) (* a a)))) (log (/ 1.0 (- (* b b) (* a a)))) (log (/ 1.0 (- (* b b) (* a a)))) (exp (/ 1.0 (- (* b b) (* a a)))) (pow (/ 1.0 (- (* b b) (* a a))) 3) (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a))))) (cbrt (/ 1.0 (- (* b b) (* a a)))) (pow (/ 1.0 (- (* b b) (* a a))) 3) (sqrt (/ 1.0 (- (* b b) (* a a)))) (sqrt (/ 1.0 (- (* b b) (* a a)))) (- 1.0) (- (- (* b b) (* a a))) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (cbrt 1.0) (cbrt (- (* b b) (* a a)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- (* b b) (* a a)))) (/ (cbrt 1.0) (sqrt (- (* b b) (* a a)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- (* b b) (* a a))) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ b a)) (/ (cbrt 1.0) (- b a)) (/ (sqrt 1.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ (sqrt 1.0) (cbrt (- (* b b) (* a a)))) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a)))) (sqrt 1.0) (/ (sqrt 1.0) (- (* b b) (* a a))) (/ (sqrt 1.0) (+ b a)) (/ (sqrt 1.0) (- b a)) (/ 1 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ 1.0 (cbrt (- (* b b) (* a a)))) (/ 1 (sqrt (- (* b b) (* a a)))) (/ 1.0 (sqrt (- (* b b) (* a a)))) 1 (/ 1.0 (- (* b b) (* a a))) (/ 1 (+ b a)) (/ 1.0 (- b a)) (/ 1 (- (* b b) (* a a))) (/ (- (* b b) (* a a)) 1.0) (/ 1.0 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a))))) (/ 1.0 (sqrt (- (* b b) (* a a)))) 1.0 (/ 1.0 (+ b a)) (/ (- (* b b) (* a a)) (cbrt 1.0)) (/ (- (* b b) (* a a)) (sqrt 1.0)) (/ (- (* b b) (* a a)) 1.0) (/ 1.0 (- (pow (* b b) 3) (pow (* a a) 3))) (/ 1.0 (- (* (pow b 3) b) (* a (pow a 3)))) (expm1 (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log1p (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (exp (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (pow (/ 1.0 (- (* 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 (- (* 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))))) (* (sqrt 1.0) (/ PI 2.0)) (* (/ 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 (/ 1.0 (- (* (pow b 3) b) (* a (pow a 3))))) 2.0) (* (cbrt (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (sqrt (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (/ (/ 1.0 (- (* b b) (* a a))) 2.0) (* (/ PI 2.0) 1.0) (* PI (/ 1.0 (- (* b b) (* a a)))) 0 0 0 (fma b b (- (* a a))) (fma b b (- (* a a))) (fma b b (- (* a a))) 0 0 0 0 0 0 4.955 * * * [progress]: adding candidates to table 6.399 * * [progress]: iteration 2 / 4 6.399 * * * [progress]: picking best candidate 6.446 * * * * [pick]: Picked # 6.447 * * * [progress]: localizing error 6.475 * * * [progress]: generating rewritten candidates 6.475 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 6.744 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 6.772 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 6.914 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 7.051 * * * [progress]: generating series expansions 7.051 * * * * [progress]: [ 1 / 4 ] generating series at (2) 7.053 * [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)))) 7.053 * [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 7.053 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 7.053 * [taylor]: Taking taylor expansion of 0.5 in a 7.053 * [backup-simplify]: Simplify 0.5 into 0.5 7.053 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 7.053 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 7.053 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 7.053 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 7.053 * [taylor]: Taking taylor expansion of 1.0 in a 7.053 * [backup-simplify]: Simplify 1.0 into 1.0 7.053 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.053 * [taylor]: Taking taylor expansion of a in a 7.053 * [backup-simplify]: Simplify 0 into 0 7.053 * [backup-simplify]: Simplify 1 into 1 7.054 * [backup-simplify]: Simplify (/ 1 1) into 1 7.054 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 7.054 * [taylor]: Taking taylor expansion of 1.0 in a 7.054 * [backup-simplify]: Simplify 1.0 into 1.0 7.054 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.054 * [taylor]: Taking taylor expansion of b in a 7.054 * [backup-simplify]: Simplify b into b 7.054 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.054 * [taylor]: Taking taylor expansion of PI in a 7.054 * [backup-simplify]: Simplify PI into PI 7.054 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 7.054 * [taylor]: Taking taylor expansion of (- b a) in a 7.054 * [taylor]: Taking taylor expansion of b in a 7.054 * [backup-simplify]: Simplify b into b 7.054 * [taylor]: Taking taylor expansion of a in a 7.054 * [backup-simplify]: Simplify 0 into 0 7.054 * [backup-simplify]: Simplify 1 into 1 7.055 * [taylor]: Taking taylor expansion of (+ a b) in a 7.055 * [taylor]: Taking taylor expansion of a in a 7.055 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.055 * [taylor]: Taking taylor expansion of b in a 7.055 * [backup-simplify]: Simplify b into b 7.055 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.056 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.057 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 7.057 * [backup-simplify]: Simplify (- 0) into 0 7.057 * [backup-simplify]: Simplify (+ b 0) into b 7.058 * [backup-simplify]: Simplify (+ 0 b) into b 7.058 * [backup-simplify]: Simplify (* b b) into (pow b 2) 7.058 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 7.058 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 7.058 * [taylor]: Taking taylor expansion of 0.5 in b 7.058 * [backup-simplify]: Simplify 0.5 into 0.5 7.058 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 7.059 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 7.059 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 7.059 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 7.059 * [taylor]: Taking taylor expansion of 1.0 in b 7.059 * [backup-simplify]: Simplify 1.0 into 1.0 7.059 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.059 * [taylor]: Taking taylor expansion of a in b 7.059 * [backup-simplify]: Simplify a into a 7.059 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.059 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 7.059 * [taylor]: Taking taylor expansion of 1.0 in b 7.059 * [backup-simplify]: Simplify 1.0 into 1.0 7.059 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.059 * [taylor]: Taking taylor expansion of b in b 7.059 * [backup-simplify]: Simplify 0 into 0 7.059 * [backup-simplify]: Simplify 1 into 1 7.059 * [backup-simplify]: Simplify (/ 1 1) into 1 7.059 * [taylor]: Taking taylor expansion of PI in b 7.060 * [backup-simplify]: Simplify PI into PI 7.060 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 7.060 * [taylor]: Taking taylor expansion of (- b a) in b 7.060 * [taylor]: Taking taylor expansion of b in b 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 1 into 1 7.060 * [taylor]: Taking taylor expansion of a in b 7.060 * [backup-simplify]: Simplify a into a 7.060 * [taylor]: Taking taylor expansion of (+ a b) in b 7.060 * [taylor]: Taking taylor expansion of a in b 7.060 * [backup-simplify]: Simplify a into a 7.060 * [taylor]: Taking taylor expansion of b in b 7.060 * [backup-simplify]: Simplify 0 into 0 7.060 * [backup-simplify]: Simplify 1 into 1 7.060 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.061 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.062 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 7.062 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 7.063 * [backup-simplify]: Simplify (- a) into (- a) 7.063 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.063 * [backup-simplify]: Simplify (+ a 0) into a 7.063 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 7.063 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 7.063 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 7.064 * [taylor]: Taking taylor expansion of 0.5 in b 7.064 * [backup-simplify]: Simplify 0.5 into 0.5 7.064 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 7.064 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 7.064 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 7.064 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 7.064 * [taylor]: Taking taylor expansion of 1.0 in b 7.064 * [backup-simplify]: Simplify 1.0 into 1.0 7.064 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.064 * [taylor]: Taking taylor expansion of a in b 7.064 * [backup-simplify]: Simplify a into a 7.064 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.064 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 7.064 * [taylor]: Taking taylor expansion of 1.0 in b 7.064 * [backup-simplify]: Simplify 1.0 into 1.0 7.064 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.064 * [taylor]: Taking taylor expansion of b in b 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 1 into 1 7.065 * [backup-simplify]: Simplify (/ 1 1) into 1 7.065 * [taylor]: Taking taylor expansion of PI in b 7.065 * [backup-simplify]: Simplify PI into PI 7.065 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 7.065 * [taylor]: Taking taylor expansion of (- b a) in b 7.065 * [taylor]: Taking taylor expansion of b in b 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 1 into 1 7.065 * [taylor]: Taking taylor expansion of a in b 7.065 * [backup-simplify]: Simplify a into a 7.065 * [taylor]: Taking taylor expansion of (+ a b) in b 7.065 * [taylor]: Taking taylor expansion of a in b 7.065 * [backup-simplify]: Simplify a into a 7.065 * [taylor]: Taking taylor expansion of b in b 7.065 * [backup-simplify]: Simplify 0 into 0 7.065 * [backup-simplify]: Simplify 1 into 1 7.065 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 7.066 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.067 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 7.068 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 7.068 * [backup-simplify]: Simplify (- a) into (- a) 7.068 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.068 * [backup-simplify]: Simplify (+ a 0) into a 7.068 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 7.069 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 7.069 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 7.069 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 7.069 * [taylor]: Taking taylor expansion of 0.5 in a 7.069 * [backup-simplify]: Simplify 0.5 into 0.5 7.069 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 7.069 * [taylor]: Taking taylor expansion of PI in a 7.069 * [backup-simplify]: Simplify PI into PI 7.069 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.069 * [taylor]: Taking taylor expansion of a in a 7.069 * [backup-simplify]: Simplify 0 into 0 7.069 * [backup-simplify]: Simplify 1 into 1 7.070 * [backup-simplify]: Simplify (* 1 1) into 1 7.070 * [backup-simplify]: Simplify (/ PI 1) into PI 7.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.073 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 7.073 * [backup-simplify]: Simplify 0 into 0 7.073 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 7.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.074 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 7.075 * [backup-simplify]: Simplify (- 0) into 0 7.075 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 7.075 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 7.076 * [backup-simplify]: Simplify (+ 0 1) into 1 7.076 * [backup-simplify]: Simplify (- 0) into 0 7.077 * [backup-simplify]: Simplify (+ 1 0) into 1 7.077 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 a)) into 0 7.078 * [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)))) 7.078 * [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)))) 7.078 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 7.078 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 7.078 * [taylor]: Taking taylor expansion of 0.5 in a 7.078 * [backup-simplify]: Simplify 0.5 into 0.5 7.078 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 7.078 * [taylor]: Taking taylor expansion of PI in a 7.078 * [backup-simplify]: Simplify PI into PI 7.078 * [taylor]: Taking taylor expansion of (pow a 3) in a 7.078 * [taylor]: Taking taylor expansion of a in a 7.079 * [backup-simplify]: Simplify 0 into 0 7.079 * [backup-simplify]: Simplify 1 into 1 7.079 * [backup-simplify]: Simplify (* 1 1) into 1 7.079 * [backup-simplify]: Simplify (* 1 1) into 1 7.080 * [backup-simplify]: Simplify (/ PI 1) into PI 7.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.082 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.086 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.087 * [backup-simplify]: Simplify (- 0) into 0 7.087 * [backup-simplify]: Simplify 0 into 0 7.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.090 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.090 * [backup-simplify]: Simplify 0 into 0 7.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.091 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 7.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.093 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 7.093 * [backup-simplify]: Simplify (- 0) into 0 7.094 * [backup-simplify]: Simplify (+ 0 0) into 0 7.095 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 7.095 * [backup-simplify]: Simplify (+ 0 0) into 0 7.096 * [backup-simplify]: Simplify (- 0) into 0 7.096 * [backup-simplify]: Simplify (+ 0 0) into 0 7.096 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 a))) into 1 7.097 * [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))) 7.098 * [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))) 7.098 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 7.098 * [taylor]: Taking taylor expansion of 0.5 in a 7.098 * [backup-simplify]: Simplify 0.5 into 0.5 7.098 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 7.098 * [taylor]: Taking taylor expansion of PI in a 7.099 * [backup-simplify]: Simplify PI into PI 7.099 * [taylor]: Taking taylor expansion of (pow a 4) in a 7.099 * [taylor]: Taking taylor expansion of a in a 7.099 * [backup-simplify]: Simplify 0 into 0 7.099 * [backup-simplify]: Simplify 1 into 1 7.099 * [backup-simplify]: Simplify (* 1 1) into 1 7.100 * [backup-simplify]: Simplify (* 1 1) into 1 7.100 * [backup-simplify]: Simplify (/ PI 1) into PI 7.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.110 * [backup-simplify]: Simplify 0 into 0 7.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.114 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.115 * [backup-simplify]: Simplify (- 0) into 0 7.115 * [backup-simplify]: Simplify 0 into 0 7.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.118 * [backup-simplify]: Simplify 0 into 0 7.118 * [backup-simplify]: Simplify 0 into 0 7.119 * [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))))) 7.119 * [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 7.119 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 7.119 * [taylor]: Taking taylor expansion of 0.5 in a 7.119 * [backup-simplify]: Simplify 0.5 into 0.5 7.119 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 7.119 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 7.119 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 7.119 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 7.119 * [taylor]: Taking taylor expansion of 1.0 in a 7.119 * [backup-simplify]: Simplify 1.0 into 1.0 7.120 * [taylor]: Taking taylor expansion of a in a 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.120 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 7.120 * [taylor]: Taking taylor expansion of 1.0 in a 7.120 * [backup-simplify]: Simplify 1.0 into 1.0 7.120 * [taylor]: Taking taylor expansion of b in a 7.120 * [backup-simplify]: Simplify b into b 7.120 * [taylor]: Taking taylor expansion of PI in a 7.120 * [backup-simplify]: Simplify PI into PI 7.120 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 7.120 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 7.120 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.120 * [taylor]: Taking taylor expansion of b in a 7.120 * [backup-simplify]: Simplify b into b 7.120 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.120 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.120 * [taylor]: Taking taylor expansion of a in a 7.120 * [backup-simplify]: Simplify 0 into 0 7.120 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (/ 1 1) into 1 7.121 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.121 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.121 * [taylor]: Taking taylor expansion of a in a 7.121 * [backup-simplify]: Simplify 0 into 0 7.121 * [backup-simplify]: Simplify 1 into 1 7.121 * [backup-simplify]: Simplify (/ 1 1) into 1 7.121 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.121 * [taylor]: Taking taylor expansion of b in a 7.121 * [backup-simplify]: Simplify b into b 7.121 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.122 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.122 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 7.122 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 7.122 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 7.122 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 7.122 * [backup-simplify]: Simplify (- 1) into -1 7.123 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.123 * [backup-simplify]: Simplify (+ 1 0) into 1 7.124 * [backup-simplify]: Simplify (* -1 1) into -1 7.124 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 7.124 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 7.124 * [taylor]: Taking taylor expansion of 0.5 in b 7.124 * [backup-simplify]: Simplify 0.5 into 0.5 7.124 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 7.124 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 7.124 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 7.124 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 7.124 * [taylor]: Taking taylor expansion of 1.0 in b 7.124 * [backup-simplify]: Simplify 1.0 into 1.0 7.124 * [taylor]: Taking taylor expansion of a in b 7.124 * [backup-simplify]: Simplify a into a 7.124 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 7.124 * [taylor]: Taking taylor expansion of 1.0 in b 7.124 * [backup-simplify]: Simplify 1.0 into 1.0 7.124 * [taylor]: Taking taylor expansion of b in b 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 1 into 1 7.124 * [taylor]: Taking taylor expansion of PI in b 7.124 * [backup-simplify]: Simplify PI into PI 7.124 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 7.124 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.124 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.124 * [taylor]: Taking taylor expansion of b in b 7.124 * [backup-simplify]: Simplify 0 into 0 7.124 * [backup-simplify]: Simplify 1 into 1 7.125 * [backup-simplify]: Simplify (/ 1 1) into 1 7.125 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.125 * [taylor]: Taking taylor expansion of a in b 7.125 * [backup-simplify]: Simplify a into a 7.125 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.125 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.125 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.125 * [taylor]: Taking taylor expansion of a in b 7.125 * [backup-simplify]: Simplify a into a 7.125 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.125 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.125 * [taylor]: Taking taylor expansion of b in b 7.125 * [backup-simplify]: Simplify 0 into 0 7.125 * [backup-simplify]: Simplify 1 into 1 7.125 * [backup-simplify]: Simplify (/ 1 1) into 1 7.126 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 7.126 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.126 * [backup-simplify]: Simplify (- 0) into 0 7.126 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 7.127 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 7.127 * [backup-simplify]: Simplify (+ 1 0) into 1 7.127 * [backup-simplify]: Simplify (+ 0 1) into 1 7.128 * [backup-simplify]: Simplify (* 1 1) into 1 7.128 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 7.128 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 7.128 * [taylor]: Taking taylor expansion of 0.5 in b 7.128 * [backup-simplify]: Simplify 0.5 into 0.5 7.128 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 7.128 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 7.128 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 7.128 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 7.128 * [taylor]: Taking taylor expansion of 1.0 in b 7.128 * [backup-simplify]: Simplify 1.0 into 1.0 7.128 * [taylor]: Taking taylor expansion of a in b 7.128 * [backup-simplify]: Simplify a into a 7.128 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 7.128 * [taylor]: Taking taylor expansion of 1.0 in b 7.128 * [backup-simplify]: Simplify 1.0 into 1.0 7.128 * [taylor]: Taking taylor expansion of b in b 7.128 * [backup-simplify]: Simplify 0 into 0 7.128 * [backup-simplify]: Simplify 1 into 1 7.128 * [taylor]: Taking taylor expansion of PI in b 7.128 * [backup-simplify]: Simplify PI into PI 7.128 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 7.128 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.128 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.128 * [taylor]: Taking taylor expansion of b in b 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 1 into 1 7.129 * [backup-simplify]: Simplify (/ 1 1) into 1 7.129 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.129 * [taylor]: Taking taylor expansion of a in b 7.129 * [backup-simplify]: Simplify a into a 7.129 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.129 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.129 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.129 * [taylor]: Taking taylor expansion of a in b 7.129 * [backup-simplify]: Simplify a into a 7.129 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.129 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.129 * [taylor]: Taking taylor expansion of b in b 7.129 * [backup-simplify]: Simplify 0 into 0 7.129 * [backup-simplify]: Simplify 1 into 1 7.130 * [backup-simplify]: Simplify (/ 1 1) into 1 7.130 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 7.130 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.131 * [backup-simplify]: Simplify (- 0) into 0 7.131 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 7.131 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 7.131 * [backup-simplify]: Simplify (+ 1 0) into 1 7.132 * [backup-simplify]: Simplify (+ 0 1) into 1 7.132 * [backup-simplify]: Simplify (* 1 1) into 1 7.132 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 7.132 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 7.132 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 7.133 * [taylor]: Taking taylor expansion of 0.5 in a 7.133 * [backup-simplify]: Simplify 0.5 into 0.5 7.133 * [taylor]: Taking taylor expansion of (* a PI) in a 7.133 * [taylor]: Taking taylor expansion of a in a 7.133 * [backup-simplify]: Simplify 0 into 0 7.133 * [backup-simplify]: Simplify 1 into 1 7.133 * [taylor]: Taking taylor expansion of PI in a 7.133 * [backup-simplify]: Simplify PI into PI 7.134 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.136 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.146 * [backup-simplify]: Simplify (* 0 PI) into 0 7.148 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 7.148 * [backup-simplify]: Simplify 0 into 0 7.148 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 7.150 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.150 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 7.151 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 7.152 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 7.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.153 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 7.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.154 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 7.154 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 7.154 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 7.157 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 7.158 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 7.158 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 7.158 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 7.159 * [taylor]: Taking taylor expansion of 0.5 in a 7.159 * [backup-simplify]: Simplify 0.5 into 0.5 7.159 * [taylor]: Taking taylor expansion of PI in a 7.159 * [backup-simplify]: Simplify PI into PI 7.160 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.160 * [backup-simplify]: Simplify (- 0) into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.162 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.162 * [backup-simplify]: Simplify 0 into 0 7.163 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 7.164 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.165 * [backup-simplify]: Simplify (- 0) into 0 7.165 * [backup-simplify]: Simplify (+ 0 0) into 0 7.166 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 7.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.167 * [backup-simplify]: Simplify (+ 0 0) into 0 7.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.169 * [backup-simplify]: Simplify (- 0) into 0 7.169 * [backup-simplify]: Simplify (+ 0 0) into 0 7.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 7.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 7.173 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 7.173 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 7.173 * [taylor]: Taking taylor expansion of 0.5 in a 7.173 * [backup-simplify]: Simplify 0.5 into 0.5 7.173 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.173 * [taylor]: Taking taylor expansion of PI in a 7.173 * [backup-simplify]: Simplify PI into PI 7.173 * [taylor]: Taking taylor expansion of a in a 7.173 * [backup-simplify]: Simplify 0 into 0 7.173 * [backup-simplify]: Simplify 1 into 1 7.174 * [backup-simplify]: Simplify (/ PI 1) into PI 7.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.178 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.178 * [backup-simplify]: Simplify 0 into 0 7.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.179 * [backup-simplify]: Simplify (- 0) into 0 7.179 * [backup-simplify]: Simplify 0 into 0 7.181 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.182 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.182 * [backup-simplify]: Simplify 0 into 0 7.182 * [backup-simplify]: Simplify 0 into 0 7.183 * [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))))) 7.183 * [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 7.183 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 7.183 * [taylor]: Taking taylor expansion of -0.5 in a 7.183 * [backup-simplify]: Simplify -0.5 into -0.5 7.183 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 7.183 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 7.183 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 7.184 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 7.184 * [taylor]: Taking taylor expansion of 1.0 in a 7.184 * [backup-simplify]: Simplify 1.0 into 1.0 7.184 * [taylor]: Taking taylor expansion of b in a 7.184 * [backup-simplify]: Simplify b into b 7.184 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 7.184 * [taylor]: Taking taylor expansion of 1.0 in a 7.184 * [backup-simplify]: Simplify 1.0 into 1.0 7.184 * [taylor]: Taking taylor expansion of a in a 7.184 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify 1 into 1 7.184 * [taylor]: Taking taylor expansion of PI in a 7.184 * [backup-simplify]: Simplify PI into PI 7.184 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 7.184 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.184 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.184 * [taylor]: Taking taylor expansion of a in a 7.184 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify 1 into 1 7.184 * [backup-simplify]: Simplify (/ 1 1) into 1 7.184 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.184 * [taylor]: Taking taylor expansion of b in a 7.184 * [backup-simplify]: Simplify b into b 7.184 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.184 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 7.184 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.184 * [taylor]: Taking taylor expansion of a in a 7.184 * [backup-simplify]: Simplify 0 into 0 7.184 * [backup-simplify]: Simplify 1 into 1 7.185 * [backup-simplify]: Simplify (/ 1 1) into 1 7.185 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.185 * [taylor]: Taking taylor expansion of b in a 7.185 * [backup-simplify]: Simplify b into b 7.185 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.185 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 7.185 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.185 * [backup-simplify]: Simplify (- 0) into 0 7.185 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 7.185 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 7.186 * [backup-simplify]: Simplify (+ 1 0) into 1 7.186 * [backup-simplify]: Simplify (+ 1 0) into 1 7.186 * [backup-simplify]: Simplify (* 1 1) into 1 7.186 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 7.186 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 7.186 * [taylor]: Taking taylor expansion of -0.5 in b 7.186 * [backup-simplify]: Simplify -0.5 into -0.5 7.186 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 7.186 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 7.186 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 7.186 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 7.186 * [taylor]: Taking taylor expansion of 1.0 in b 7.186 * [backup-simplify]: Simplify 1.0 into 1.0 7.186 * [taylor]: Taking taylor expansion of b in b 7.186 * [backup-simplify]: Simplify 0 into 0 7.186 * [backup-simplify]: Simplify 1 into 1 7.186 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 7.186 * [taylor]: Taking taylor expansion of 1.0 in b 7.186 * [backup-simplify]: Simplify 1.0 into 1.0 7.186 * [taylor]: Taking taylor expansion of a in b 7.186 * [backup-simplify]: Simplify a into a 7.186 * [taylor]: Taking taylor expansion of PI in b 7.186 * [backup-simplify]: Simplify PI into PI 7.186 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 7.187 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.187 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.187 * [taylor]: Taking taylor expansion of a in b 7.187 * [backup-simplify]: Simplify a into a 7.187 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.187 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.187 * [taylor]: Taking taylor expansion of b in b 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 1 into 1 7.187 * [backup-simplify]: Simplify (/ 1 1) into 1 7.187 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.187 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.187 * [taylor]: Taking taylor expansion of a in b 7.187 * [backup-simplify]: Simplify a into a 7.187 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.187 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.187 * [taylor]: Taking taylor expansion of b in b 7.187 * [backup-simplify]: Simplify 0 into 0 7.187 * [backup-simplify]: Simplify 1 into 1 7.187 * [backup-simplify]: Simplify (/ 1 1) into 1 7.188 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.188 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 7.188 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 7.188 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 7.188 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 7.188 * [backup-simplify]: Simplify (+ 0 1) into 1 7.188 * [backup-simplify]: Simplify (- 1) into -1 7.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.189 * [backup-simplify]: Simplify (* 1 -1) into -1 7.189 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 7.189 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 7.189 * [taylor]: Taking taylor expansion of -0.5 in b 7.189 * [backup-simplify]: Simplify -0.5 into -0.5 7.189 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 7.189 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 7.189 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 7.189 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 7.189 * [taylor]: Taking taylor expansion of 1.0 in b 7.189 * [backup-simplify]: Simplify 1.0 into 1.0 7.189 * [taylor]: Taking taylor expansion of b in b 7.189 * [backup-simplify]: Simplify 0 into 0 7.189 * [backup-simplify]: Simplify 1 into 1 7.189 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 7.189 * [taylor]: Taking taylor expansion of 1.0 in b 7.189 * [backup-simplify]: Simplify 1.0 into 1.0 7.189 * [taylor]: Taking taylor expansion of a in b 7.189 * [backup-simplify]: Simplify a into a 7.189 * [taylor]: Taking taylor expansion of PI in b 7.189 * [backup-simplify]: Simplify PI into PI 7.189 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 7.189 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.189 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.189 * [taylor]: Taking taylor expansion of a in b 7.189 * [backup-simplify]: Simplify a into a 7.190 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.190 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.190 * [taylor]: Taking taylor expansion of b in b 7.190 * [backup-simplify]: Simplify 0 into 0 7.190 * [backup-simplify]: Simplify 1 into 1 7.190 * [backup-simplify]: Simplify (/ 1 1) into 1 7.190 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.190 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.190 * [taylor]: Taking taylor expansion of a in b 7.190 * [backup-simplify]: Simplify a into a 7.190 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.190 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.190 * [taylor]: Taking taylor expansion of b in b 7.190 * [backup-simplify]: Simplify 0 into 0 7.190 * [backup-simplify]: Simplify 1 into 1 7.190 * [backup-simplify]: Simplify (/ 1 1) into 1 7.191 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.191 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 7.191 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 7.191 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 7.191 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 7.191 * [backup-simplify]: Simplify (+ 0 1) into 1 7.191 * [backup-simplify]: Simplify (- 1) into -1 7.192 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.192 * [backup-simplify]: Simplify (* 1 -1) into -1 7.192 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 7.192 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* a PI))) into (* -0.5 (* a PI)) 7.192 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 7.192 * [taylor]: Taking taylor expansion of -0.5 in a 7.192 * [backup-simplify]: Simplify -0.5 into -0.5 7.192 * [taylor]: Taking taylor expansion of (* a PI) in a 7.192 * [taylor]: Taking taylor expansion of a in a 7.192 * [backup-simplify]: Simplify 0 into 0 7.192 * [backup-simplify]: Simplify 1 into 1 7.192 * [taylor]: Taking taylor expansion of PI in a 7.192 * [backup-simplify]: Simplify PI into PI 7.193 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.194 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.194 * [backup-simplify]: Simplify (* 0 PI) into 0 7.195 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 7.195 * [backup-simplify]: Simplify 0 into 0 7.196 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 7.196 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 7.196 * [backup-simplify]: Simplify (- 0) into 0 7.197 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.197 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 7.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.198 * [backup-simplify]: Simplify (- 0) into 0 7.198 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 7.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.198 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 7.198 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (/ 1 a) -1)) into 0 7.200 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* a PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 7.201 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (* 0.5 PI) 7.201 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 7.201 * [taylor]: Taking taylor expansion of 0.5 in a 7.201 * [backup-simplify]: Simplify 0.5 into 0.5 7.201 * [taylor]: Taking taylor expansion of PI in a 7.201 * [backup-simplify]: Simplify PI into PI 7.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.202 * [backup-simplify]: Simplify 0 into 0 7.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.203 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.203 * [backup-simplify]: Simplify 0 into 0 7.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 7.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 7.204 * [backup-simplify]: Simplify (- 0) into 0 7.205 * [backup-simplify]: Simplify (+ 0 0) into 0 7.205 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 7.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.206 * [backup-simplify]: Simplify (- 0) into 0 7.206 * [backup-simplify]: Simplify (+ 0 0) into 0 7.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.207 * [backup-simplify]: Simplify (+ 0 0) into 0 7.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 -1))) into (/ 1 (pow a 2)) 7.209 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 (pow a 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI a)) 7.210 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 7.210 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 7.210 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 7.210 * [taylor]: Taking taylor expansion of 0.5 in a 7.210 * [backup-simplify]: Simplify 0.5 into 0.5 7.210 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.210 * [taylor]: Taking taylor expansion of PI in a 7.210 * [backup-simplify]: Simplify PI into PI 7.210 * [taylor]: Taking taylor expansion of a in a 7.210 * [backup-simplify]: Simplify 0 into 0 7.210 * [backup-simplify]: Simplify 1 into 1 7.210 * [backup-simplify]: Simplify (/ PI 1) into PI 7.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.213 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.213 * [backup-simplify]: Simplify (- 0) into 0 7.213 * [backup-simplify]: Simplify 0 into 0 7.214 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.214 * [backup-simplify]: Simplify 0 into 0 7.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.216 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 7.217 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ b a)) into (* 0.5 (/ PI (+ a b))) 7.217 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (b a) around 0 7.217 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 7.217 * [taylor]: Taking taylor expansion of 0.5 in a 7.217 * [backup-simplify]: Simplify 0.5 into 0.5 7.217 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 7.217 * [taylor]: Taking taylor expansion of PI in a 7.217 * [backup-simplify]: Simplify PI into PI 7.217 * [taylor]: Taking taylor expansion of (+ a b) in a 7.217 * [taylor]: Taking taylor expansion of a in a 7.217 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify 1 into 1 7.217 * [taylor]: Taking taylor expansion of b in a 7.217 * [backup-simplify]: Simplify b into b 7.217 * [backup-simplify]: Simplify (+ 0 b) into b 7.217 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 7.217 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 7.217 * [taylor]: Taking taylor expansion of 0.5 in b 7.217 * [backup-simplify]: Simplify 0.5 into 0.5 7.217 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 7.217 * [taylor]: Taking taylor expansion of PI in b 7.217 * [backup-simplify]: Simplify PI into PI 7.217 * [taylor]: Taking taylor expansion of (+ a b) in b 7.217 * [taylor]: Taking taylor expansion of a in b 7.217 * [backup-simplify]: Simplify a into a 7.217 * [taylor]: Taking taylor expansion of b in b 7.217 * [backup-simplify]: Simplify 0 into 0 7.217 * [backup-simplify]: Simplify 1 into 1 7.217 * [backup-simplify]: Simplify (+ a 0) into a 7.217 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 7.217 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 7.218 * [taylor]: Taking taylor expansion of 0.5 in b 7.218 * [backup-simplify]: Simplify 0.5 into 0.5 7.218 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 7.218 * [taylor]: Taking taylor expansion of PI in b 7.218 * [backup-simplify]: Simplify PI into PI 7.218 * [taylor]: Taking taylor expansion of (+ a b) in b 7.218 * [taylor]: Taking taylor expansion of a in b 7.218 * [backup-simplify]: Simplify a into a 7.218 * [taylor]: Taking taylor expansion of b in b 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 1 into 1 7.218 * [backup-simplify]: Simplify (+ a 0) into a 7.218 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 7.218 * [backup-simplify]: Simplify (* 0.5 (/ PI a)) into (* 0.5 (/ PI a)) 7.218 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 7.218 * [taylor]: Taking taylor expansion of 0.5 in a 7.218 * [backup-simplify]: Simplify 0.5 into 0.5 7.218 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.218 * [taylor]: Taking taylor expansion of PI in a 7.218 * [backup-simplify]: Simplify PI into PI 7.218 * [taylor]: Taking taylor expansion of a in a 7.218 * [backup-simplify]: Simplify 0 into 0 7.218 * [backup-simplify]: Simplify 1 into 1 7.219 * [backup-simplify]: Simplify (/ PI 1) into PI 7.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.220 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 7.220 * [backup-simplify]: Simplify 0 into 0 7.220 * [backup-simplify]: Simplify (+ 0 1) into 1 7.220 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 7.220 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 0.5 (/ PI (pow a 2)))) 7.220 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 7.221 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 7.221 * [taylor]: Taking taylor expansion of 0.5 in a 7.221 * [backup-simplify]: Simplify 0.5 into 0.5 7.221 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 7.221 * [taylor]: Taking taylor expansion of PI in a 7.221 * [backup-simplify]: Simplify PI into PI 7.221 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.221 * [taylor]: Taking taylor expansion of a in a 7.221 * [backup-simplify]: Simplify 0 into 0 7.221 * [backup-simplify]: Simplify 1 into 1 7.221 * [backup-simplify]: Simplify (* 1 1) into 1 7.221 * [backup-simplify]: Simplify (/ PI 1) into PI 7.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.224 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.224 * [backup-simplify]: Simplify (- 0) into 0 7.224 * [backup-simplify]: Simplify 0 into 0 7.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.226 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.226 * [backup-simplify]: Simplify 0 into 0 7.226 * [backup-simplify]: Simplify (+ 0 0) into 0 7.226 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 7.227 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 0.5 (/ PI (pow a 3))) 7.227 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 7.227 * [taylor]: Taking taylor expansion of 0.5 in a 7.227 * [backup-simplify]: Simplify 0.5 into 0.5 7.227 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 7.227 * [taylor]: Taking taylor expansion of PI in a 7.227 * [backup-simplify]: Simplify PI into PI 7.227 * [taylor]: Taking taylor expansion of (pow a 3) in a 7.227 * [taylor]: Taking taylor expansion of a in a 7.227 * [backup-simplify]: Simplify 0 into 0 7.227 * [backup-simplify]: Simplify 1 into 1 7.227 * [backup-simplify]: Simplify (* 1 1) into 1 7.227 * [backup-simplify]: Simplify (* 1 1) into 1 7.228 * [backup-simplify]: Simplify (/ PI 1) into PI 7.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.236 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.238 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.238 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.241 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.242 * [backup-simplify]: Simplify (- 0) into 0 7.242 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.244 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 0 into 0 7.245 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 7.245 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 7.245 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 7.245 * [taylor]: Taking taylor expansion of 0.5 in a 7.245 * [backup-simplify]: Simplify 0.5 into 0.5 7.245 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 7.245 * [taylor]: Taking taylor expansion of PI in a 7.245 * [backup-simplify]: Simplify PI into PI 7.245 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.245 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.245 * [taylor]: Taking taylor expansion of a in a 7.245 * [backup-simplify]: Simplify 0 into 0 7.245 * [backup-simplify]: Simplify 1 into 1 7.246 * [backup-simplify]: Simplify (/ 1 1) into 1 7.246 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.246 * [taylor]: Taking taylor expansion of b in a 7.246 * [backup-simplify]: Simplify b into b 7.246 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.246 * [backup-simplify]: Simplify (+ 1 0) into 1 7.247 * [backup-simplify]: Simplify (/ PI 1) into PI 7.247 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 7.247 * [taylor]: Taking taylor expansion of 0.5 in b 7.247 * [backup-simplify]: Simplify 0.5 into 0.5 7.247 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 7.247 * [taylor]: Taking taylor expansion of PI in b 7.247 * [backup-simplify]: Simplify PI into PI 7.247 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.247 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.247 * [taylor]: Taking taylor expansion of a in b 7.247 * [backup-simplify]: Simplify a into a 7.247 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.247 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.247 * [taylor]: Taking taylor expansion of b in b 7.247 * [backup-simplify]: Simplify 0 into 0 7.248 * [backup-simplify]: Simplify 1 into 1 7.248 * [backup-simplify]: Simplify (/ 1 1) into 1 7.248 * [backup-simplify]: Simplify (+ 0 1) into 1 7.249 * [backup-simplify]: Simplify (/ PI 1) into PI 7.249 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 7.249 * [taylor]: Taking taylor expansion of 0.5 in b 7.249 * [backup-simplify]: Simplify 0.5 into 0.5 7.249 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 7.249 * [taylor]: Taking taylor expansion of PI in b 7.249 * [backup-simplify]: Simplify PI into PI 7.249 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.249 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.249 * [taylor]: Taking taylor expansion of a in b 7.249 * [backup-simplify]: Simplify a into a 7.249 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.250 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.250 * [taylor]: Taking taylor expansion of b in b 7.250 * [backup-simplify]: Simplify 0 into 0 7.250 * [backup-simplify]: Simplify 1 into 1 7.250 * [backup-simplify]: Simplify (/ 1 1) into 1 7.251 * [backup-simplify]: Simplify (+ 0 1) into 1 7.251 * [backup-simplify]: Simplify (/ PI 1) into PI 7.252 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 7.252 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 7.252 * [taylor]: Taking taylor expansion of 0.5 in a 7.252 * [backup-simplify]: Simplify 0.5 into 0.5 7.252 * [taylor]: Taking taylor expansion of PI in a 7.252 * [backup-simplify]: Simplify PI into PI 7.253 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.254 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 7.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 7.255 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI a))) (* 0 PI)) into (- (* 0.5 (/ PI a))) 7.255 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 7.255 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 7.255 * [taylor]: Taking taylor expansion of 0.5 in a 7.255 * [backup-simplify]: Simplify 0.5 into 0.5 7.255 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.255 * [taylor]: Taking taylor expansion of PI in a 7.255 * [backup-simplify]: Simplify PI into PI 7.255 * [taylor]: Taking taylor expansion of a in a 7.255 * [backup-simplify]: Simplify 0 into 0 7.255 * [backup-simplify]: Simplify 1 into 1 7.256 * [backup-simplify]: Simplify (/ PI 1) into PI 7.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.259 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.259 * [backup-simplify]: Simplify (- 0) into 0 7.259 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.260 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.262 * [backup-simplify]: Simplify (+ 0 0) into 0 7.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 7.264 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 7.264 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 7.264 * [taylor]: Taking taylor expansion of 0.5 in a 7.264 * [backup-simplify]: Simplify 0.5 into 0.5 7.264 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 7.264 * [taylor]: Taking taylor expansion of PI in a 7.265 * [backup-simplify]: Simplify PI into PI 7.265 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.265 * [taylor]: Taking taylor expansion of a in a 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify 1 into 1 7.265 * [backup-simplify]: Simplify (* 1 1) into 1 7.266 * [backup-simplify]: Simplify (/ PI 1) into PI 7.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.270 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.273 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.273 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.284 * [backup-simplify]: Simplify (- 0) into 0 7.284 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.285 * [backup-simplify]: Simplify 0 into 0 7.285 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 7.286 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 7.286 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 7.286 * [taylor]: Taking taylor expansion of -0.5 in a 7.286 * [backup-simplify]: Simplify -0.5 into -0.5 7.286 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 7.286 * [taylor]: Taking taylor expansion of PI in a 7.286 * [backup-simplify]: Simplify PI into PI 7.286 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.286 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.286 * [taylor]: Taking taylor expansion of a in a 7.286 * [backup-simplify]: Simplify 0 into 0 7.286 * [backup-simplify]: Simplify 1 into 1 7.287 * [backup-simplify]: Simplify (/ 1 1) into 1 7.287 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.287 * [taylor]: Taking taylor expansion of b in a 7.287 * [backup-simplify]: Simplify b into b 7.287 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.287 * [backup-simplify]: Simplify (+ 1 0) into 1 7.288 * [backup-simplify]: Simplify (/ PI 1) into PI 7.288 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 7.288 * [taylor]: Taking taylor expansion of -0.5 in b 7.288 * [backup-simplify]: Simplify -0.5 into -0.5 7.288 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 7.288 * [taylor]: Taking taylor expansion of PI in b 7.288 * [backup-simplify]: Simplify PI into PI 7.288 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.288 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.288 * [taylor]: Taking taylor expansion of a in b 7.288 * [backup-simplify]: Simplify a into a 7.288 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.288 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.288 * [taylor]: Taking taylor expansion of b in b 7.288 * [backup-simplify]: Simplify 0 into 0 7.288 * [backup-simplify]: Simplify 1 into 1 7.289 * [backup-simplify]: Simplify (/ 1 1) into 1 7.289 * [backup-simplify]: Simplify (+ 0 1) into 1 7.290 * [backup-simplify]: Simplify (/ PI 1) into PI 7.290 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 7.290 * [taylor]: Taking taylor expansion of -0.5 in b 7.290 * [backup-simplify]: Simplify -0.5 into -0.5 7.290 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 7.290 * [taylor]: Taking taylor expansion of PI in b 7.290 * [backup-simplify]: Simplify PI into PI 7.290 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.290 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.290 * [taylor]: Taking taylor expansion of a in b 7.290 * [backup-simplify]: Simplify a into a 7.290 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.290 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.290 * [taylor]: Taking taylor expansion of b in b 7.290 * [backup-simplify]: Simplify 0 into 0 7.290 * [backup-simplify]: Simplify 1 into 1 7.291 * [backup-simplify]: Simplify (/ 1 1) into 1 7.291 * [backup-simplify]: Simplify (+ 0 1) into 1 7.292 * [backup-simplify]: Simplify (/ PI 1) into PI 7.292 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 7.292 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 7.292 * [taylor]: Taking taylor expansion of -0.5 in a 7.292 * [backup-simplify]: Simplify -0.5 into -0.5 7.292 * [taylor]: Taking taylor expansion of PI in a 7.292 * [backup-simplify]: Simplify PI into PI 7.293 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 7.293 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.294 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 7.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 7.294 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI a))) (* 0 PI)) into (* 0.5 (/ PI a)) 7.294 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 7.294 * [taylor]: Taking taylor expansion of 0.5 in a 7.295 * [backup-simplify]: Simplify 0.5 into 0.5 7.295 * [taylor]: Taking taylor expansion of (/ PI a) in a 7.295 * [taylor]: Taking taylor expansion of PI in a 7.295 * [backup-simplify]: Simplify PI into PI 7.295 * [taylor]: Taking taylor expansion of a in a 7.295 * [backup-simplify]: Simplify 0 into 0 7.295 * [backup-simplify]: Simplify 1 into 1 7.295 * [backup-simplify]: Simplify (/ PI 1) into PI 7.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.297 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.298 * [backup-simplify]: Simplify (+ 0 0) into 0 7.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 7.300 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (* 0.5 (/ PI (pow a 2)))) 7.300 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 7.300 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 7.300 * [taylor]: Taking taylor expansion of 0.5 in a 7.300 * [backup-simplify]: Simplify 0.5 into 0.5 7.300 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 7.300 * [taylor]: Taking taylor expansion of PI in a 7.300 * [backup-simplify]: Simplify PI into PI 7.300 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.300 * [taylor]: Taking taylor expansion of a in a 7.300 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify 1 into 1 7.301 * [backup-simplify]: Simplify (* 1 1) into 1 7.301 * [backup-simplify]: Simplify (/ PI 1) into PI 7.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.305 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.306 * [backup-simplify]: Simplify (- 0) into 0 7.306 * [backup-simplify]: Simplify 0 into 0 7.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.307 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.307 * [backup-simplify]: Simplify 0 into 0 7.308 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.308 * [backup-simplify]: Simplify 0 into 0 7.308 * [backup-simplify]: Simplify 0 into 0 7.308 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.308 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) into (* 0.5 (/ PI (* (- b a) (+ a b)))) 7.308 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in (b a) around 0 7.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in a 7.308 * [taylor]: Taking taylor expansion of 0.5 in a 7.308 * [backup-simplify]: Simplify 0.5 into 0.5 7.308 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in a 7.308 * [taylor]: Taking taylor expansion of PI in a 7.308 * [backup-simplify]: Simplify PI into PI 7.308 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 7.308 * [taylor]: Taking taylor expansion of (- b a) in a 7.308 * [taylor]: Taking taylor expansion of b in a 7.308 * [backup-simplify]: Simplify b into b 7.308 * [taylor]: Taking taylor expansion of a in a 7.308 * [backup-simplify]: Simplify 0 into 0 7.308 * [backup-simplify]: Simplify 1 into 1 7.308 * [taylor]: Taking taylor expansion of (+ a b) in a 7.309 * [taylor]: Taking taylor expansion of a in a 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify 1 into 1 7.309 * [taylor]: Taking taylor expansion of b in a 7.309 * [backup-simplify]: Simplify b into b 7.309 * [backup-simplify]: Simplify (- 0) into 0 7.309 * [backup-simplify]: Simplify (+ b 0) into b 7.309 * [backup-simplify]: Simplify (+ 0 b) into b 7.309 * [backup-simplify]: Simplify (* b b) into (pow b 2) 7.309 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 7.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in b 7.309 * [taylor]: Taking taylor expansion of 0.5 in b 7.309 * [backup-simplify]: Simplify 0.5 into 0.5 7.309 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in b 7.309 * [taylor]: Taking taylor expansion of PI in b 7.309 * [backup-simplify]: Simplify PI into PI 7.309 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 7.309 * [taylor]: Taking taylor expansion of (- b a) in b 7.309 * [taylor]: Taking taylor expansion of b in b 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify 1 into 1 7.309 * [taylor]: Taking taylor expansion of a in b 7.309 * [backup-simplify]: Simplify a into a 7.309 * [taylor]: Taking taylor expansion of (+ a b) in b 7.309 * [taylor]: Taking taylor expansion of a in b 7.309 * [backup-simplify]: Simplify a into a 7.309 * [taylor]: Taking taylor expansion of b in b 7.309 * [backup-simplify]: Simplify 0 into 0 7.309 * [backup-simplify]: Simplify 1 into 1 7.309 * [backup-simplify]: Simplify (- a) into (- a) 7.309 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.310 * [backup-simplify]: Simplify (+ a 0) into a 7.310 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 7.310 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 7.310 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- b a) (+ a b)))) in b 7.310 * [taylor]: Taking taylor expansion of 0.5 in b 7.310 * [backup-simplify]: Simplify 0.5 into 0.5 7.310 * [taylor]: Taking taylor expansion of (/ PI (* (- b a) (+ a b))) in b 7.310 * [taylor]: Taking taylor expansion of PI in b 7.310 * [backup-simplify]: Simplify PI into PI 7.310 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 7.310 * [taylor]: Taking taylor expansion of (- b a) in b 7.310 * [taylor]: Taking taylor expansion of b in b 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify 1 into 1 7.310 * [taylor]: Taking taylor expansion of a in b 7.310 * [backup-simplify]: Simplify a into a 7.310 * [taylor]: Taking taylor expansion of (+ a b) in b 7.310 * [taylor]: Taking taylor expansion of a in b 7.310 * [backup-simplify]: Simplify a into a 7.310 * [taylor]: Taking taylor expansion of b in b 7.310 * [backup-simplify]: Simplify 0 into 0 7.310 * [backup-simplify]: Simplify 1 into 1 7.310 * [backup-simplify]: Simplify (- a) into (- a) 7.310 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.310 * [backup-simplify]: Simplify (+ a 0) into a 7.310 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 7.310 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 7.310 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI (pow a 2)))) into (* -0.5 (/ PI (pow a 2))) 7.310 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 7.310 * [taylor]: Taking taylor expansion of -0.5 in a 7.310 * [backup-simplify]: Simplify -0.5 into -0.5 7.310 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 7.311 * [taylor]: Taking taylor expansion of PI in a 7.311 * [backup-simplify]: Simplify PI into PI 7.311 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.311 * [taylor]: Taking taylor expansion of a in a 7.311 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify 1 into 1 7.311 * [backup-simplify]: Simplify (* 1 1) into 1 7.311 * [backup-simplify]: Simplify (/ PI 1) into PI 7.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.314 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.314 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify (+ 0 1) into 1 7.314 * [backup-simplify]: Simplify (- 0) into 0 7.315 * [backup-simplify]: Simplify (+ 1 0) into 1 7.315 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 a)) into 0 7.315 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) into 0 7.316 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (/ PI (pow a 2))))) into 0 7.316 * [taylor]: Taking taylor expansion of 0 in a 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify 0 into 0 7.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.318 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify (+ 0 0) into 0 7.318 * [backup-simplify]: Simplify (- 0) into 0 7.318 * [backup-simplify]: Simplify (+ 0 0) into 0 7.319 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 a))) into 1 7.319 * [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))) 7.320 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 4)))) (+ (* 0 0) (* 0 (* -1 (/ PI (pow a 2)))))) into (- (* 0.5 (/ PI (pow a 4)))) 7.320 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 4)))) in a 7.320 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 7.320 * [taylor]: Taking taylor expansion of 0.5 in a 7.320 * [backup-simplify]: Simplify 0.5 into 0.5 7.320 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 7.320 * [taylor]: Taking taylor expansion of PI in a 7.320 * [backup-simplify]: Simplify PI into PI 7.320 * [taylor]: Taking taylor expansion of (pow a 4) in a 7.320 * [taylor]: Taking taylor expansion of a in a 7.320 * [backup-simplify]: Simplify 0 into 0 7.320 * [backup-simplify]: Simplify 1 into 1 7.320 * [backup-simplify]: Simplify (* 1 1) into 1 7.320 * [backup-simplify]: Simplify (* 1 1) into 1 7.321 * [backup-simplify]: Simplify (/ PI 1) into PI 7.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.328 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.328 * [backup-simplify]: Simplify (- 0) into 0 7.328 * [backup-simplify]: Simplify 0 into 0 7.328 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.331 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [backup-simplify]: Simplify 0 into 0 7.331 * [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))))) 7.331 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in (b a) around 0 7.331 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 7.331 * [taylor]: Taking taylor expansion of 0.5 in a 7.331 * [backup-simplify]: Simplify 0.5 into 0.5 7.331 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 7.331 * [taylor]: Taking taylor expansion of PI in a 7.331 * [backup-simplify]: Simplify PI into PI 7.331 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 7.331 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 7.331 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.331 * [taylor]: Taking taylor expansion of b in a 7.331 * [backup-simplify]: Simplify b into b 7.331 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.331 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.331 * [taylor]: Taking taylor expansion of a in a 7.331 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 1 into 1 7.332 * [backup-simplify]: Simplify (/ 1 1) into 1 7.332 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.332 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.332 * [taylor]: Taking taylor expansion of a in a 7.332 * [backup-simplify]: Simplify 0 into 0 7.332 * [backup-simplify]: Simplify 1 into 1 7.332 * [backup-simplify]: Simplify (/ 1 1) into 1 7.332 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.332 * [taylor]: Taking taylor expansion of b in a 7.332 * [backup-simplify]: Simplify b into b 7.332 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.333 * [backup-simplify]: Simplify (- 1) into -1 7.333 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.333 * [backup-simplify]: Simplify (+ 1 0) into 1 7.333 * [backup-simplify]: Simplify (* -1 1) into -1 7.334 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 7.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 7.334 * [taylor]: Taking taylor expansion of 0.5 in b 7.334 * [backup-simplify]: Simplify 0.5 into 0.5 7.334 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 7.334 * [taylor]: Taking taylor expansion of PI in b 7.334 * [backup-simplify]: Simplify PI into PI 7.334 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 7.334 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.334 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.334 * [taylor]: Taking taylor expansion of b in b 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 1 into 1 7.334 * [backup-simplify]: Simplify (/ 1 1) into 1 7.334 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.334 * [taylor]: Taking taylor expansion of a in b 7.334 * [backup-simplify]: Simplify a into a 7.334 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.334 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.334 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.334 * [taylor]: Taking taylor expansion of a in b 7.334 * [backup-simplify]: Simplify a into a 7.334 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.334 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.334 * [taylor]: Taking taylor expansion of b in b 7.334 * [backup-simplify]: Simplify 0 into 0 7.334 * [backup-simplify]: Simplify 1 into 1 7.335 * [backup-simplify]: Simplify (/ 1 1) into 1 7.335 * [backup-simplify]: Simplify (+ 1 0) into 1 7.335 * [backup-simplify]: Simplify (+ 0 1) into 1 7.335 * [backup-simplify]: Simplify (* 1 1) into 1 7.336 * [backup-simplify]: Simplify (/ PI 1) into PI 7.336 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 7.336 * [taylor]: Taking taylor expansion of 0.5 in b 7.336 * [backup-simplify]: Simplify 0.5 into 0.5 7.336 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 7.336 * [taylor]: Taking taylor expansion of PI in b 7.336 * [backup-simplify]: Simplify PI into PI 7.336 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 7.336 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.336 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.336 * [taylor]: Taking taylor expansion of b in b 7.336 * [backup-simplify]: Simplify 0 into 0 7.336 * [backup-simplify]: Simplify 1 into 1 7.336 * [backup-simplify]: Simplify (/ 1 1) into 1 7.336 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.336 * [taylor]: Taking taylor expansion of a in b 7.336 * [backup-simplify]: Simplify a into a 7.336 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.336 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.336 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.336 * [taylor]: Taking taylor expansion of a in b 7.336 * [backup-simplify]: Simplify a into a 7.336 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.336 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.337 * [taylor]: Taking taylor expansion of b in b 7.337 * [backup-simplify]: Simplify 0 into 0 7.337 * [backup-simplify]: Simplify 1 into 1 7.337 * [backup-simplify]: Simplify (/ 1 1) into 1 7.337 * [backup-simplify]: Simplify (+ 1 0) into 1 7.337 * [backup-simplify]: Simplify (+ 0 1) into 1 7.338 * [backup-simplify]: Simplify (* 1 1) into 1 7.338 * [backup-simplify]: Simplify (/ PI 1) into PI 7.338 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 7.338 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 7.338 * [taylor]: Taking taylor expansion of 0.5 in a 7.338 * [backup-simplify]: Simplify 0.5 into 0.5 7.338 * [taylor]: Taking taylor expansion of PI in a 7.338 * [backup-simplify]: Simplify PI into PI 7.339 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.339 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.339 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 7.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.340 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 7.340 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 7.340 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 7.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 7.341 * [taylor]: Taking taylor expansion of 0 in a 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify 0 into 0 7.342 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.342 * [backup-simplify]: Simplify 0 into 0 7.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.343 * [backup-simplify]: Simplify (+ 0 0) into 0 7.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.344 * [backup-simplify]: Simplify (- 0) into 0 7.344 * [backup-simplify]: Simplify (+ 0 0) into 0 7.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 7.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 7.348 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 7.348 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 7.348 * [taylor]: Taking taylor expansion of 0.5 in a 7.348 * [backup-simplify]: Simplify 0.5 into 0.5 7.348 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 7.348 * [taylor]: Taking taylor expansion of PI in a 7.348 * [backup-simplify]: Simplify PI into PI 7.348 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.348 * [taylor]: Taking taylor expansion of a in a 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 1 into 1 7.349 * [backup-simplify]: Simplify (* 1 1) into 1 7.349 * [backup-simplify]: Simplify (/ PI 1) into PI 7.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.356 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.359 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.359 * [backup-simplify]: Simplify 0 into 0 7.359 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.361 * [backup-simplify]: Simplify 0 into 0 7.361 * [backup-simplify]: Simplify 0 into 0 7.362 * [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))))) 7.362 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in (b a) around 0 7.362 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in a 7.362 * [taylor]: Taking taylor expansion of -0.5 in a 7.362 * [backup-simplify]: Simplify -0.5 into -0.5 7.362 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in a 7.362 * [taylor]: Taking taylor expansion of PI in a 7.362 * [backup-simplify]: Simplify PI into PI 7.362 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in a 7.362 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 7.362 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.362 * [taylor]: Taking taylor expansion of a in a 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify 1 into 1 7.362 * [backup-simplify]: Simplify (/ 1 1) into 1 7.362 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.362 * [taylor]: Taking taylor expansion of b in a 7.362 * [backup-simplify]: Simplify b into b 7.362 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.362 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 7.363 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.363 * [taylor]: Taking taylor expansion of a in a 7.363 * [backup-simplify]: Simplify 0 into 0 7.363 * [backup-simplify]: Simplify 1 into 1 7.363 * [backup-simplify]: Simplify (/ 1 1) into 1 7.363 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.363 * [taylor]: Taking taylor expansion of b in a 7.363 * [backup-simplify]: Simplify b into b 7.363 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.364 * [backup-simplify]: Simplify (+ 1 0) into 1 7.364 * [backup-simplify]: Simplify (+ 1 0) into 1 7.364 * [backup-simplify]: Simplify (* 1 1) into 1 7.365 * [backup-simplify]: Simplify (/ PI 1) into PI 7.365 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 7.365 * [taylor]: Taking taylor expansion of -0.5 in b 7.365 * [backup-simplify]: Simplify -0.5 into -0.5 7.365 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 7.365 * [taylor]: Taking taylor expansion of PI in b 7.365 * [backup-simplify]: Simplify PI into PI 7.365 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 7.365 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.365 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.365 * [taylor]: Taking taylor expansion of a in b 7.365 * [backup-simplify]: Simplify a into a 7.365 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.365 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.365 * [taylor]: Taking taylor expansion of b in b 7.365 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify 1 into 1 7.366 * [backup-simplify]: Simplify (/ 1 1) into 1 7.366 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.366 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.366 * [taylor]: Taking taylor expansion of a in b 7.366 * [backup-simplify]: Simplify a into a 7.366 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.366 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.366 * [taylor]: Taking taylor expansion of b in b 7.366 * [backup-simplify]: Simplify 0 into 0 7.366 * [backup-simplify]: Simplify 1 into 1 7.366 * [backup-simplify]: Simplify (/ 1 1) into 1 7.367 * [backup-simplify]: Simplify (- 1) into -1 7.367 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.367 * [backup-simplify]: Simplify (+ 0 1) into 1 7.368 * [backup-simplify]: Simplify (* -1 1) into -1 7.368 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 7.368 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))))) in b 7.368 * [taylor]: Taking taylor expansion of -0.5 in b 7.368 * [backup-simplify]: Simplify -0.5 into -0.5 7.368 * [taylor]: Taking taylor expansion of (/ PI (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b)))) in b 7.368 * [taylor]: Taking taylor expansion of PI in b 7.368 * [backup-simplify]: Simplify PI into PI 7.368 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 a) (/ 1 b))) in b 7.368 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.368 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.368 * [taylor]: Taking taylor expansion of a in b 7.369 * [backup-simplify]: Simplify a into a 7.369 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.369 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.369 * [taylor]: Taking taylor expansion of b in b 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 1 into 1 7.369 * [backup-simplify]: Simplify (/ 1 1) into 1 7.369 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 7.369 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.369 * [taylor]: Taking taylor expansion of a in b 7.369 * [backup-simplify]: Simplify a into a 7.369 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.369 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.369 * [taylor]: Taking taylor expansion of b in b 7.369 * [backup-simplify]: Simplify 0 into 0 7.369 * [backup-simplify]: Simplify 1 into 1 7.370 * [backup-simplify]: Simplify (/ 1 1) into 1 7.370 * [backup-simplify]: Simplify (- 1) into -1 7.370 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.371 * [backup-simplify]: Simplify (+ 0 1) into 1 7.371 * [backup-simplify]: Simplify (* -1 1) into -1 7.372 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 7.373 * [backup-simplify]: Simplify (* -0.5 (* -1 PI)) into (* 0.5 PI) 7.373 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 7.373 * [taylor]: Taking taylor expansion of 0.5 in a 7.373 * [backup-simplify]: Simplify 0.5 into 0.5 7.373 * [taylor]: Taking taylor expansion of PI in a 7.373 * [backup-simplify]: Simplify PI into PI 7.374 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 7.374 * [backup-simplify]: Simplify 0 into 0 7.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.375 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 7.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.376 * [backup-simplify]: Simplify (- 0) into 0 7.376 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 7.376 * [backup-simplify]: Simplify (+ (* -1 (/ 1 a)) (* (/ 1 a) 1)) into 0 7.377 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 7.378 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 (* -1 PI))) into 0 7.378 * [taylor]: Taking taylor expansion of 0 in a 7.378 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.380 * [backup-simplify]: Simplify 0 into 0 7.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.381 * [backup-simplify]: Simplify (+ 0 0) into 0 7.381 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.382 * [backup-simplify]: Simplify (- 0) into 0 7.383 * [backup-simplify]: Simplify (+ 0 0) into 0 7.384 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 1))) into (/ 1 (pow a 2)) 7.385 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow a 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow a 2))) 7.386 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI (pow a 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (* 0.5 (/ PI (pow a 2))) 7.386 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 7.386 * [taylor]: Taking taylor expansion of 0.5 in a 7.386 * [backup-simplify]: Simplify 0.5 into 0.5 7.386 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 7.386 * [taylor]: Taking taylor expansion of PI in a 7.386 * [backup-simplify]: Simplify PI into PI 7.386 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.386 * [taylor]: Taking taylor expansion of a in a 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.387 * [backup-simplify]: Simplify (* 1 1) into 1 7.387 * [backup-simplify]: Simplify (/ PI 1) into PI 7.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.390 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 7.397 * [backup-simplify]: Simplify (/ 1.0 (- b a)) into (/ 1.0 (- b a)) 7.397 * [approximate]: Taking taylor expansion of (/ 1.0 (- b a)) in (b a) around 0 7.397 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in a 7.397 * [taylor]: Taking taylor expansion of 1.0 in a 7.397 * [backup-simplify]: Simplify 1.0 into 1.0 7.397 * [taylor]: Taking taylor expansion of (- b a) in a 7.397 * [taylor]: Taking taylor expansion of b in a 7.397 * [backup-simplify]: Simplify b into b 7.397 * [taylor]: Taking taylor expansion of a in a 7.397 * [backup-simplify]: Simplify 0 into 0 7.397 * [backup-simplify]: Simplify 1 into 1 7.398 * [backup-simplify]: Simplify (- 0) into 0 7.398 * [backup-simplify]: Simplify (+ b 0) into b 7.398 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 7.398 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in b 7.398 * [taylor]: Taking taylor expansion of 1.0 in b 7.398 * [backup-simplify]: Simplify 1.0 into 1.0 7.398 * [taylor]: Taking taylor expansion of (- b a) in b 7.398 * [taylor]: Taking taylor expansion of b in b 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify 1 into 1 7.398 * [taylor]: Taking taylor expansion of a in b 7.398 * [backup-simplify]: Simplify a into a 7.398 * [backup-simplify]: Simplify (- a) into (- a) 7.398 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.398 * [backup-simplify]: Simplify (/ 1.0 (- a)) into (/ -1.0 a) 7.398 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in b 7.398 * [taylor]: Taking taylor expansion of 1.0 in b 7.398 * [backup-simplify]: Simplify 1.0 into 1.0 7.398 * [taylor]: Taking taylor expansion of (- b a) in b 7.398 * [taylor]: Taking taylor expansion of b in b 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify 1 into 1 7.398 * [taylor]: Taking taylor expansion of a in b 7.398 * [backup-simplify]: Simplify a into a 7.398 * [backup-simplify]: Simplify (- a) into (- a) 7.398 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 7.399 * [backup-simplify]: Simplify (/ 1.0 (- a)) into (/ -1.0 a) 7.399 * [taylor]: Taking taylor expansion of (/ -1.0 a) in a 7.399 * [taylor]: Taking taylor expansion of -1.0 in a 7.399 * [backup-simplify]: Simplify -1.0 into -1.0 7.399 * [taylor]: Taking taylor expansion of a in a 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify 1 into 1 7.399 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 7.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 7.400 * [backup-simplify]: Simplify 0 into 0 7.400 * [backup-simplify]: Simplify (- 0) into 0 7.401 * [backup-simplify]: Simplify (+ 1 0) into 1 7.401 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1.0 a) (/ 1 (- a))))) into (- (* 1.0 (/ 1 (pow a 2)))) 7.401 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 2)))) in a 7.401 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 7.401 * [taylor]: Taking taylor expansion of 1.0 in a 7.401 * [backup-simplify]: Simplify 1.0 into 1.0 7.401 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 7.401 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.401 * [taylor]: Taking taylor expansion of a in a 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.402 * [backup-simplify]: Simplify (* 1 1) into 1 7.410 * [backup-simplify]: Simplify (/ 1 1) into 1 7.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.416 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 7.416 * [backup-simplify]: Simplify (- 0) into 0 7.416 * [backup-simplify]: Simplify 0 into 0 7.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.417 * [backup-simplify]: Simplify 0 into 0 7.418 * [backup-simplify]: Simplify (- 0) into 0 7.418 * [backup-simplify]: Simplify (+ 0 0) into 0 7.419 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1.0 a) (/ 0 (- a))) (* (- (* 1.0 (/ 1 (pow a 2)))) (/ 1 (- a))))) into (- (* 1.0 (/ 1 (pow a 3)))) 7.419 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 3)))) in a 7.419 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 3))) in a 7.419 * [taylor]: Taking taylor expansion of 1.0 in a 7.419 * [backup-simplify]: Simplify 1.0 into 1.0 7.419 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 7.419 * [taylor]: Taking taylor expansion of (pow a 3) in a 7.419 * [taylor]: Taking taylor expansion of a in a 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify 1 into 1 7.419 * [backup-simplify]: Simplify (* 1 1) into 1 7.420 * [backup-simplify]: Simplify (* 1 1) into 1 7.420 * [backup-simplify]: Simplify (/ 1 1) into 1 7.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.429 * [backup-simplify]: Simplify (- 0) into 0 7.429 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.432 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.433 * [backup-simplify]: Simplify (- 0) into 0 7.433 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify (/ 1.0 (- (/ 1 b) (/ 1 a))) into (/ 1.0 (- (/ 1 b) (/ 1 a))) 7.434 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in (b a) around 0 7.434 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in a 7.434 * [taylor]: Taking taylor expansion of 1.0 in a 7.434 * [backup-simplify]: Simplify 1.0 into 1.0 7.434 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 7.434 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.434 * [taylor]: Taking taylor expansion of b in a 7.434 * [backup-simplify]: Simplify b into b 7.434 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.434 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.434 * [taylor]: Taking taylor expansion of a in a 7.434 * [backup-simplify]: Simplify 0 into 0 7.434 * [backup-simplify]: Simplify 1 into 1 7.435 * [backup-simplify]: Simplify (/ 1 1) into 1 7.435 * [backup-simplify]: Simplify (- 1) into -1 7.436 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.436 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 7.436 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in b 7.436 * [taylor]: Taking taylor expansion of 1.0 in b 7.436 * [backup-simplify]: Simplify 1.0 into 1.0 7.436 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.436 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.436 * [taylor]: Taking taylor expansion of b in b 7.436 * [backup-simplify]: Simplify 0 into 0 7.436 * [backup-simplify]: Simplify 1 into 1 7.437 * [backup-simplify]: Simplify (/ 1 1) into 1 7.437 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.437 * [taylor]: Taking taylor expansion of a in b 7.437 * [backup-simplify]: Simplify a into a 7.437 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.437 * [backup-simplify]: Simplify (+ 1 0) into 1 7.438 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.438 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in b 7.438 * [taylor]: Taking taylor expansion of 1.0 in b 7.438 * [backup-simplify]: Simplify 1.0 into 1.0 7.438 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 7.438 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.438 * [taylor]: Taking taylor expansion of b in b 7.438 * [backup-simplify]: Simplify 0 into 0 7.438 * [backup-simplify]: Simplify 1 into 1 7.439 * [backup-simplify]: Simplify (/ 1 1) into 1 7.439 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.439 * [taylor]: Taking taylor expansion of a in b 7.439 * [backup-simplify]: Simplify a into a 7.439 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.439 * [backup-simplify]: Simplify (+ 1 0) into 1 7.440 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.440 * [taylor]: Taking taylor expansion of 1.0 in a 7.440 * [backup-simplify]: Simplify 1.0 into 1.0 7.440 * [backup-simplify]: Simplify 0 into 0 7.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.441 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 7.441 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 7.442 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 a)) 1)))) into (* 1.0 (/ 1 a)) 7.442 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 7.442 * [taylor]: Taking taylor expansion of 1.0 in a 7.442 * [backup-simplify]: Simplify 1.0 into 1.0 7.442 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.442 * [taylor]: Taking taylor expansion of a in a 7.442 * [backup-simplify]: Simplify 0 into 0 7.442 * [backup-simplify]: Simplify 1 into 1 7.442 * [backup-simplify]: Simplify (/ 1 1) into 1 7.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.445 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 7.445 * [backup-simplify]: Simplify 0 into 0 7.445 * [backup-simplify]: Simplify 0 into 0 7.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.447 * [backup-simplify]: Simplify (- 0) into 0 7.447 * [backup-simplify]: Simplify (+ 0 0) into 0 7.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* (* 1.0 (/ 1 a)) (/ (- (/ 1 a)) 1)))) into (* 1.0 (/ 1 (pow a 2))) 7.449 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 7.449 * [taylor]: Taking taylor expansion of 1.0 in a 7.449 * [backup-simplify]: Simplify 1.0 into 1.0 7.449 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 7.449 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.449 * [taylor]: Taking taylor expansion of a in a 7.449 * [backup-simplify]: Simplify 0 into 0 7.449 * [backup-simplify]: Simplify 1 into 1 7.449 * [backup-simplify]: Simplify (* 1 1) into 1 7.450 * [backup-simplify]: Simplify (/ 1 1) into 1 7.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.456 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.456 * [backup-simplify]: Simplify 0 into 0 7.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.458 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.459 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a)))) into (/ 1.0 (- (/ 1 a) (/ 1 b))) 7.459 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in (b a) around 0 7.459 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in a 7.459 * [taylor]: Taking taylor expansion of 1.0 in a 7.459 * [backup-simplify]: Simplify 1.0 into 1.0 7.459 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 7.459 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.459 * [taylor]: Taking taylor expansion of a in a 7.459 * [backup-simplify]: Simplify 0 into 0 7.459 * [backup-simplify]: Simplify 1 into 1 7.460 * [backup-simplify]: Simplify (/ 1 1) into 1 7.460 * [taylor]: Taking taylor expansion of (/ 1 b) in a 7.460 * [taylor]: Taking taylor expansion of b in a 7.460 * [backup-simplify]: Simplify b into b 7.460 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 7.460 * [backup-simplify]: Simplify (+ 1 0) into 1 7.461 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 7.461 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in b 7.461 * [taylor]: Taking taylor expansion of 1.0 in b 7.461 * [backup-simplify]: Simplify 1.0 into 1.0 7.461 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.461 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.461 * [taylor]: Taking taylor expansion of a in b 7.461 * [backup-simplify]: Simplify a into a 7.461 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.461 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.461 * [taylor]: Taking taylor expansion of b in b 7.461 * [backup-simplify]: Simplify 0 into 0 7.461 * [backup-simplify]: Simplify 1 into 1 7.462 * [backup-simplify]: Simplify (/ 1 1) into 1 7.462 * [backup-simplify]: Simplify (- 1) into -1 7.463 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.463 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 7.463 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in b 7.463 * [taylor]: Taking taylor expansion of 1.0 in b 7.463 * [backup-simplify]: Simplify 1.0 into 1.0 7.463 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 7.463 * [taylor]: Taking taylor expansion of (/ 1 a) in b 7.464 * [taylor]: Taking taylor expansion of a in b 7.464 * [backup-simplify]: Simplify a into a 7.464 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 7.464 * [taylor]: Taking taylor expansion of (/ 1 b) in b 7.464 * [taylor]: Taking taylor expansion of b in b 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [backup-simplify]: Simplify (/ 1 1) into 1 7.464 * [backup-simplify]: Simplify (- 1) into -1 7.465 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.465 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 7.466 * [taylor]: Taking taylor expansion of -1.0 in a 7.466 * [backup-simplify]: Simplify -1.0 into -1.0 7.466 * [backup-simplify]: Simplify 0 into 0 7.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.467 * [backup-simplify]: Simplify (- 0) into 0 7.467 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 7.467 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ (/ 1 a) -1)))) into (- (* 1.0 (/ 1 a))) 7.467 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a))) in a 7.468 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 7.468 * [taylor]: Taking taylor expansion of 1.0 in a 7.468 * [backup-simplify]: Simplify 1.0 into 1.0 7.468 * [taylor]: Taking taylor expansion of (/ 1 a) in a 7.468 * [taylor]: Taking taylor expansion of a in a 7.468 * [backup-simplify]: Simplify 0 into 0 7.468 * [backup-simplify]: Simplify 1 into 1 7.468 * [backup-simplify]: Simplify (/ 1 1) into 1 7.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 7.471 * [backup-simplify]: Simplify (- 0) into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 7.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.473 * [backup-simplify]: Simplify (- 0) into 0 7.473 * [backup-simplify]: Simplify (+ 0 0) into 0 7.474 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ 0 -1)) (* (- (* 1.0 (/ 1 a))) (/ (/ 1 a) -1)))) into (- (* 1.0 (/ 1 (pow a 2)))) 7.474 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 2)))) in a 7.474 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 7.475 * [taylor]: Taking taylor expansion of 1.0 in a 7.475 * [backup-simplify]: Simplify 1.0 into 1.0 7.475 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 7.475 * [taylor]: Taking taylor expansion of (pow a 2) in a 7.475 * [taylor]: Taking taylor expansion of a in a 7.475 * [backup-simplify]: Simplify 0 into 0 7.475 * [backup-simplify]: Simplify 1 into 1 7.475 * [backup-simplify]: Simplify (* 1 1) into 1 7.475 * [backup-simplify]: Simplify (/ 1 1) into 1 7.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.482 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.482 * [backup-simplify]: Simplify (- 0) into 0 7.483 * [backup-simplify]: Simplify 0 into 0 7.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.485 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.485 * [backup-simplify]: Simplify (- 0) into 0 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * [backup-simplify]: Simplify 0 into 0 7.485 * * * [progress]: simplifying candidates 7.516 * [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 b)))) (cbrt (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))))) (cbrt (* (* (/ (/ 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)))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) 1.0) (- (* 1.0 b) (* a 1.0))) (* (* (+ b a) (- b a)) (* a b)) (* (* (/ PI 2.0) 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (* (+ b a) (- 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) (- b a)) (+ (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ b a)) 1.0) (- (* 1.0 b) (* a 1.0))) (* (- b a) (* a b)) (* (* (/ (/ PI 2.0) (+ b a)) 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) (+ b a)) 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) (/ 1.0 (- b a))) (- (* 1.0 b) (* a 1.0))) (* (+ b a) (* a b)) (* (* (/ PI 2.0) (/ 1.0 (- b a))) (- (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 (- b a))) (- (* (/ 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 (- b a))) (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 (- b a))) (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 (- b a))) (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 (- b a))) (fma (- (sqrt (/ 1.0 b))) (sqrt (/ 1.0 b)) (* (sqrt (/ 1.0 b)) (sqrt (/ 1.0 b))))) (* (* (/ (/ PI 2.0) (+ b a)) (/ 1.0 (- b a))) (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 (- b a))) (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 (- b a))) (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 (- b a))) (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 (- b a))) (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 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(- b a))) (* (/ (/ (sqrt PI) (cbrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) (sqrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) 2.0) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) 2.0) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) 2.0) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ (sqrt PI) 2.0) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI (cbrt 2.0)) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI (cbrt 2.0)) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI (cbrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI (cbrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI (sqrt 2.0)) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI (sqrt 2.0)) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI (sqrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI (sqrt 2.0)) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (+ b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (+ b a))) (* (/ (/ PI 2.0) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (+ b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (+ b a))) (* (/ (/ 1 2.0) (cbrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ 1 2.0) (sqrt (+ b a))) (/ 1.0 (- b a))) (* (/ (/ 1 2.0) (+ b a)) (/ 1.0 (- b a))) (* (/ (/ 1 2.0) (+ b a)) (/ 1.0 (- b a))) (* (/ 1.0 (- b a)) (/ (/ PI 2.0) (+ b a))) (/ (/ 1.0 (- b a)) (+ a b)) (/ (* (fma b b (* a (- a b))) 1.0) (- b a)) (* (- b a) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (+ b a)) 1.0) (* (/ PI 2.0) (/ 1.0 (- b a))) (expm1 (/ 1.0 (- b a))) (log1p (/ 1.0 (- b a))) (log (/ 1.0 (- b a))) (log (/ 1.0 (- b a))) (exp (/ 1.0 (- b a))) (pow (/ 1.0 (- b a)) 3) (* (cbrt (/ 1.0 (- b a))) (cbrt (/ 1.0 (- b a)))) (cbrt (/ 1.0 (- b a))) (pow (/ 1.0 (- b a)) 3) (sqrt (/ 1.0 (- b a))) (sqrt (/ 1.0 (- b a))) (- 1.0) (- (- b a)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (cbrt 1.0) (cbrt (- b a))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- b a))) (/ (cbrt 1.0) (sqrt (- b a))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- b a)) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ (sqrt b) (sqrt a))) (/ (cbrt 1.0) (- (sqrt b) (sqrt a))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- b a)) (/ (sqrt 1.0) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt 1.0) (cbrt (- b a))) (/ (sqrt 1.0) (sqrt (- b a))) (/ (sqrt 1.0) (sqrt (- b a))) (sqrt 1.0) (/ (sqrt 1.0) (- b a)) (/ (sqrt 1.0) (+ (sqrt b) (sqrt a))) (/ (sqrt 1.0) (- (sqrt b) (sqrt a))) (sqrt 1.0) (/ (sqrt 1.0) (- b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 1.0 (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ 1.0 (sqrt (- b a))) 1 (/ 1.0 (- b a)) (/ 1 (+ (sqrt b) (sqrt a))) (/ 1.0 (- (sqrt b) (sqrt a))) 1 (/ 1.0 (- b a)) (/ 1 (- b a)) (/ (- b a) 1.0) (/ 1.0 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 1.0 (sqrt (- b a))) 1.0 (/ 1.0 (+ (sqrt b) (sqrt a))) 1.0 (/ (- b a) (cbrt 1.0)) (/ (- b a) (sqrt 1.0)) (/ (- b a) 1.0) (/ 1.0 (- (pow b 3) (pow a 3))) (/ 1.0 (- (* b b) (* a a))) 0 0 0 0 0 0 0 0 0 0 0 0 9.677 * * * [progress]: adding candidates to table 11.587 * * [progress]: iteration 3 / 4 11.587 * * * [progress]: picking best candidate 11.634 * * * * [pick]: Picked # 11.634 * * * [progress]: localizing error 11.667 * * * [progress]: generating rewritten candidates 11.667 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 11.883 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 11.912 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 12.155 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 12.284 * * * [progress]: generating series expansions 12.284 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 12.285 * [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))) 12.285 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in (b a) around 0 12.285 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in a 12.285 * [taylor]: Taking taylor expansion of 0.5 in a 12.285 * [backup-simplify]: Simplify 0.5 into 0.5 12.285 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in a 12.285 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 12.285 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 12.285 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 12.285 * [taylor]: Taking taylor expansion of 1.0 in a 12.285 * [backup-simplify]: Simplify 1.0 into 1.0 12.285 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.285 * [taylor]: Taking taylor expansion of a in a 12.285 * [backup-simplify]: Simplify 0 into 0 12.285 * [backup-simplify]: Simplify 1 into 1 12.286 * [backup-simplify]: Simplify (/ 1 1) into 1 12.286 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 12.286 * [taylor]: Taking taylor expansion of 1.0 in a 12.286 * [backup-simplify]: Simplify 1.0 into 1.0 12.286 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.286 * [taylor]: Taking taylor expansion of b in a 12.286 * [backup-simplify]: Simplify b into b 12.286 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.286 * [taylor]: Taking taylor expansion of PI in a 12.286 * [backup-simplify]: Simplify PI into PI 12.286 * [taylor]: Taking taylor expansion of (+ a b) in a 12.286 * [taylor]: Taking taylor expansion of a in a 12.286 * [backup-simplify]: Simplify 0 into 0 12.286 * [backup-simplify]: Simplify 1 into 1 12.286 * [taylor]: Taking taylor expansion of b in a 12.286 * [backup-simplify]: Simplify b into b 12.286 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.287 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.287 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 12.287 * [backup-simplify]: Simplify (+ 0 b) into b 12.287 * [backup-simplify]: Simplify (/ (* 1.0 PI) b) into (* 1.0 (/ PI b)) 12.287 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in b 12.287 * [taylor]: Taking taylor expansion of 0.5 in b 12.287 * [backup-simplify]: Simplify 0.5 into 0.5 12.287 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in b 12.287 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 12.287 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 12.287 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 12.287 * [taylor]: Taking taylor expansion of 1.0 in b 12.287 * [backup-simplify]: Simplify 1.0 into 1.0 12.287 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.288 * [taylor]: Taking taylor expansion of a in b 12.288 * [backup-simplify]: Simplify a into a 12.288 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.288 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 12.288 * [taylor]: Taking taylor expansion of 1.0 in b 12.288 * [backup-simplify]: Simplify 1.0 into 1.0 12.288 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.288 * [taylor]: Taking taylor expansion of b in b 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.288 * [backup-simplify]: Simplify (/ 1 1) into 1 12.288 * [taylor]: Taking taylor expansion of PI in b 12.288 * [backup-simplify]: Simplify PI into PI 12.288 * [taylor]: Taking taylor expansion of (+ a b) in b 12.288 * [taylor]: Taking taylor expansion of a in b 12.288 * [backup-simplify]: Simplify a into a 12.288 * [taylor]: Taking taylor expansion of b in b 12.288 * [backup-simplify]: Simplify 0 into 0 12.288 * [backup-simplify]: Simplify 1 into 1 12.288 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.289 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.289 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.290 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 12.290 * [backup-simplify]: Simplify (+ a 0) into a 12.290 * [backup-simplify]: Simplify (/ (* -1.0 PI) a) into (* -1.0 (/ PI a)) 12.290 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in b 12.290 * [taylor]: Taking taylor expansion of 0.5 in b 12.290 * [backup-simplify]: Simplify 0.5 into 0.5 12.290 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in b 12.290 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 12.290 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 12.290 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 12.290 * [taylor]: Taking taylor expansion of 1.0 in b 12.290 * [backup-simplify]: Simplify 1.0 into 1.0 12.290 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.290 * [taylor]: Taking taylor expansion of a in b 12.290 * [backup-simplify]: Simplify a into a 12.290 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.290 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 12.290 * [taylor]: Taking taylor expansion of 1.0 in b 12.290 * [backup-simplify]: Simplify 1.0 into 1.0 12.290 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.290 * [taylor]: Taking taylor expansion of b in b 12.290 * [backup-simplify]: Simplify 0 into 0 12.290 * [backup-simplify]: Simplify 1 into 1 12.291 * [backup-simplify]: Simplify (/ 1 1) into 1 12.291 * [taylor]: Taking taylor expansion of PI in b 12.291 * [backup-simplify]: Simplify PI into PI 12.291 * [taylor]: Taking taylor expansion of (+ a b) in b 12.291 * [taylor]: Taking taylor expansion of a in b 12.291 * [backup-simplify]: Simplify a into a 12.291 * [taylor]: Taking taylor expansion of b in b 12.291 * [backup-simplify]: Simplify 0 into 0 12.291 * [backup-simplify]: Simplify 1 into 1 12.291 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.291 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.292 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.292 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 12.292 * [backup-simplify]: Simplify (+ a 0) into a 12.293 * [backup-simplify]: Simplify (/ (* -1.0 PI) a) into (* -1.0 (/ PI a)) 12.293 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (/ PI a))) into (* -0.5 (/ PI a)) 12.293 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI a)) in a 12.293 * [taylor]: Taking taylor expansion of -0.5 in a 12.293 * [backup-simplify]: Simplify -0.5 into -0.5 12.293 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.293 * [taylor]: Taking taylor expansion of PI in a 12.293 * [backup-simplify]: Simplify PI into PI 12.293 * [taylor]: Taking taylor expansion of a in a 12.293 * [backup-simplify]: Simplify 0 into 0 12.293 * [backup-simplify]: Simplify 1 into 1 12.293 * [backup-simplify]: Simplify (/ PI 1) into PI 12.294 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 12.294 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 12.294 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 12.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.295 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.295 * [backup-simplify]: Simplify (- 0) into 0 12.295 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 12.296 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 12.296 * [backup-simplify]: Simplify (+ 0 1) into 1 12.297 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) a) (+ (* (* -1.0 (/ PI a)) (/ 1 a)))) into (* 2.0 (/ PI (pow a 2))) 12.297 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow a 2)))) (* 0 (* -1.0 (/ PI a)))) into (* 1.0 (/ PI (pow a 2))) 12.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 12.297 * [taylor]: Taking taylor expansion of 1.0 in a 12.297 * [backup-simplify]: Simplify 1.0 into 1.0 12.297 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.297 * [taylor]: Taking taylor expansion of PI in a 12.297 * [backup-simplify]: Simplify PI into PI 12.297 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.297 * [taylor]: Taking taylor expansion of a in a 12.298 * [backup-simplify]: Simplify 0 into 0 12.298 * [backup-simplify]: Simplify 1 into 1 12.298 * [backup-simplify]: Simplify (* 1 1) into 1 12.298 * [backup-simplify]: Simplify (/ PI 1) into PI 12.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.301 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 12.301 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.303 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 12.303 * [backup-simplify]: Simplify 0 into 0 12.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.304 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 12.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.305 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.306 * [backup-simplify]: Simplify (- 0) into 0 12.306 * [backup-simplify]: Simplify (+ 0 0) into 0 12.307 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 12.308 * [backup-simplify]: Simplify (+ 0 0) into 0 12.308 * [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)))) 12.309 * [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)))) 12.309 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 12.309 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 12.309 * [taylor]: Taking taylor expansion of 1.0 in a 12.309 * [backup-simplify]: Simplify 1.0 into 1.0 12.309 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 12.309 * [taylor]: Taking taylor expansion of PI in a 12.309 * [backup-simplify]: Simplify PI into PI 12.309 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.309 * [taylor]: Taking taylor expansion of a in a 12.309 * [backup-simplify]: Simplify 0 into 0 12.309 * [backup-simplify]: Simplify 1 into 1 12.310 * [backup-simplify]: Simplify (* 1 1) into 1 12.310 * [backup-simplify]: Simplify (* 1 1) into 1 12.311 * [backup-simplify]: Simplify (/ PI 1) into PI 12.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.332 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.332 * [backup-simplify]: Simplify (- 0) into 0 12.332 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.335 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.335 * [backup-simplify]: Simplify 0 into 0 12.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.336 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.336 * [backup-simplify]: Simplify 0 into 0 12.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.337 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 12.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.338 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.338 * [backup-simplify]: Simplify (- 0) into 0 12.339 * [backup-simplify]: Simplify (+ 0 0) into 0 12.339 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 12.340 * [backup-simplify]: Simplify (+ 0 0) into 0 12.340 * [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))) 12.341 * [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))) 12.341 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 4))) in a 12.341 * [taylor]: Taking taylor expansion of 1.0 in a 12.341 * [backup-simplify]: Simplify 1.0 into 1.0 12.341 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 12.341 * [taylor]: Taking taylor expansion of PI in a 12.341 * [backup-simplify]: Simplify PI into PI 12.341 * [taylor]: Taking taylor expansion of (pow a 4) in a 12.341 * [taylor]: Taking taylor expansion of a in a 12.341 * [backup-simplify]: Simplify 0 into 0 12.341 * [backup-simplify]: Simplify 1 into 1 12.341 * [backup-simplify]: Simplify (* 1 1) into 1 12.341 * [backup-simplify]: Simplify (* 1 1) into 1 12.342 * [backup-simplify]: Simplify (/ PI 1) into PI 12.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.347 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.347 * [backup-simplify]: Simplify 0 into 0 12.347 * [backup-simplify]: Simplify (* (* -0.5 PI) (* (/ 1 a) (/ 1 b))) into (* -0.5 (/ PI (* a b))) 12.348 * [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)))) 12.348 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 12.348 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in a 12.348 * [taylor]: Taking taylor expansion of 0.5 in a 12.348 * [backup-simplify]: Simplify 0.5 into 0.5 12.348 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 12.348 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 12.348 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 12.348 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.348 * [taylor]: Taking taylor expansion of 1.0 in a 12.348 * [backup-simplify]: Simplify 1.0 into 1.0 12.348 * [taylor]: Taking taylor expansion of a in a 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 1 into 1 12.348 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.348 * [taylor]: Taking taylor expansion of 1.0 in a 12.348 * [backup-simplify]: Simplify 1.0 into 1.0 12.348 * [taylor]: Taking taylor expansion of b in a 12.348 * [backup-simplify]: Simplify b into b 12.348 * [taylor]: Taking taylor expansion of PI in a 12.348 * [backup-simplify]: Simplify PI into PI 12.348 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.348 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.348 * [taylor]: Taking taylor expansion of a in a 12.348 * [backup-simplify]: Simplify 0 into 0 12.348 * [backup-simplify]: Simplify 1 into 1 12.349 * [backup-simplify]: Simplify (/ 1 1) into 1 12.349 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.349 * [taylor]: Taking taylor expansion of b in a 12.349 * [backup-simplify]: Simplify b into b 12.349 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.349 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.349 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.349 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 12.349 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 12.349 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 12.349 * [backup-simplify]: Simplify (+ 1 0) into 1 12.350 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) 1) into (* -1.0 (* b PI)) 12.350 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in b 12.350 * [taylor]: Taking taylor expansion of 0.5 in b 12.350 * [backup-simplify]: Simplify 0.5 into 0.5 12.350 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in b 12.350 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 12.350 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 12.350 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.350 * [taylor]: Taking taylor expansion of 1.0 in b 12.350 * [backup-simplify]: Simplify 1.0 into 1.0 12.350 * [taylor]: Taking taylor expansion of a in b 12.350 * [backup-simplify]: Simplify a into a 12.350 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.350 * [taylor]: Taking taylor expansion of 1.0 in b 12.350 * [backup-simplify]: Simplify 1.0 into 1.0 12.350 * [taylor]: Taking taylor expansion of b in b 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 1 into 1 12.350 * [taylor]: Taking taylor expansion of PI in b 12.350 * [backup-simplify]: Simplify PI into PI 12.350 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.350 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.350 * [taylor]: Taking taylor expansion of a in b 12.350 * [backup-simplify]: Simplify a into a 12.350 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.350 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.350 * [taylor]: Taking taylor expansion of b in b 12.350 * [backup-simplify]: Simplify 0 into 0 12.350 * [backup-simplify]: Simplify 1 into 1 12.350 * [backup-simplify]: Simplify (/ 1 1) into 1 12.350 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.351 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.351 * [backup-simplify]: Simplify (- 0) into 0 12.351 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 12.351 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 12.351 * [backup-simplify]: Simplify (+ 0 1) into 1 12.351 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 12.351 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in b 12.351 * [taylor]: Taking taylor expansion of 0.5 in b 12.351 * [backup-simplify]: Simplify 0.5 into 0.5 12.351 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in b 12.351 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 12.351 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 12.352 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.352 * [taylor]: Taking taylor expansion of 1.0 in b 12.352 * [backup-simplify]: Simplify 1.0 into 1.0 12.352 * [taylor]: Taking taylor expansion of a in b 12.352 * [backup-simplify]: Simplify a into a 12.352 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.352 * [taylor]: Taking taylor expansion of 1.0 in b 12.352 * [backup-simplify]: Simplify 1.0 into 1.0 12.352 * [taylor]: Taking taylor expansion of b in b 12.352 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify 1 into 1 12.352 * [taylor]: Taking taylor expansion of PI in b 12.352 * [backup-simplify]: Simplify PI into PI 12.352 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.352 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.352 * [taylor]: Taking taylor expansion of a in b 12.352 * [backup-simplify]: Simplify a into a 12.352 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.352 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.352 * [taylor]: Taking taylor expansion of b in b 12.352 * [backup-simplify]: Simplify 0 into 0 12.352 * [backup-simplify]: Simplify 1 into 1 12.352 * [backup-simplify]: Simplify (/ 1 1) into 1 12.352 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.352 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.353 * [backup-simplify]: Simplify (- 0) into 0 12.353 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 12.353 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 12.353 * [backup-simplify]: Simplify (+ 0 1) into 1 12.353 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 12.353 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 12.353 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 12.353 * [taylor]: Taking taylor expansion of 0.5 in a 12.353 * [backup-simplify]: Simplify 0.5 into 0.5 12.353 * [taylor]: Taking taylor expansion of (* a PI) in a 12.353 * [taylor]: Taking taylor expansion of a in a 12.353 * [backup-simplify]: Simplify 0 into 0 12.353 * [backup-simplify]: Simplify 1 into 1 12.353 * [taylor]: Taking taylor expansion of PI in a 12.353 * [backup-simplify]: Simplify PI into PI 12.354 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.355 * [backup-simplify]: Simplify (* 0 PI) into 0 12.356 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 12.356 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 12.356 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 12.357 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.357 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.358 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.358 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 12.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.359 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.360 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 a) 1)))) into (- (* 2.0 PI)) 12.361 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 1.0 PI)) 12.361 * [taylor]: Taking taylor expansion of (- (* 1.0 PI)) in a 12.361 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 12.361 * [taylor]: Taking taylor expansion of 1.0 in a 12.361 * [backup-simplify]: Simplify 1.0 into 1.0 12.361 * [taylor]: Taking taylor expansion of PI in a 12.361 * [backup-simplify]: Simplify PI into PI 12.362 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 12.362 * [backup-simplify]: Simplify (- 0) into 0 12.362 * [backup-simplify]: Simplify 0 into 0 12.363 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.363 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 12.363 * [backup-simplify]: Simplify 0 into 0 12.364 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 12.364 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.364 * [backup-simplify]: Simplify (- 0) into 0 12.365 * [backup-simplify]: Simplify (+ 0 0) into 0 12.365 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 12.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.366 * [backup-simplify]: Simplify (+ 0 0) into 0 12.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)) (* (- (* 2.0 PI)) (/ (/ 1 a) 1)))) into (* 2.0 (/ PI a)) 12.368 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI a))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 1.0 (/ PI a)) 12.368 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 12.368 * [taylor]: Taking taylor expansion of 1.0 in a 12.368 * [backup-simplify]: Simplify 1.0 into 1.0 12.368 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.368 * [taylor]: Taking taylor expansion of PI in a 12.368 * [backup-simplify]: Simplify PI into PI 12.368 * [taylor]: Taking taylor expansion of a in a 12.368 * [backup-simplify]: Simplify 0 into 0 12.368 * [backup-simplify]: Simplify 1 into 1 12.369 * [backup-simplify]: Simplify (/ PI 1) into PI 12.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.370 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.370 * [backup-simplify]: Simplify 0 into 0 12.371 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.371 * [backup-simplify]: Simplify (- 0) into 0 12.371 * [backup-simplify]: Simplify 0 into 0 12.372 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.373 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.374 * [backup-simplify]: Simplify 0 into 0 12.375 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 12.376 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.376 * [backup-simplify]: Simplify (- 0) into 0 12.377 * [backup-simplify]: Simplify (+ 0 0) into 0 12.378 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (+ (* 0 0) (* 0 PI)))) into 0 12.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.379 * [backup-simplify]: Simplify (+ 0 0) into 0 12.382 * [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)))) 12.383 * [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)))) 12.383 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 12.383 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 12.383 * [taylor]: Taking taylor expansion of 1.0 in a 12.383 * [backup-simplify]: Simplify 1.0 into 1.0 12.383 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.383 * [taylor]: Taking taylor expansion of PI in a 12.383 * [backup-simplify]: Simplify PI into PI 12.383 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.383 * [taylor]: Taking taylor expansion of a in a 12.383 * [backup-simplify]: Simplify 0 into 0 12.383 * [backup-simplify]: Simplify 1 into 1 12.384 * [backup-simplify]: Simplify (* 1 1) into 1 12.384 * [backup-simplify]: Simplify (/ PI 1) into PI 12.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.388 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.388 * [backup-simplify]: Simplify (- 0) into 0 12.388 * [backup-simplify]: Simplify 0 into 0 12.389 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (* a b))) 12.389 * [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)))) 12.389 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 12.389 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b)))) in a 12.389 * [taylor]: Taking taylor expansion of -0.5 in a 12.389 * [backup-simplify]: Simplify -0.5 into -0.5 12.389 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b))) in a 12.389 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 12.389 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 12.389 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.389 * [taylor]: Taking taylor expansion of 1.0 in a 12.389 * [backup-simplify]: Simplify 1.0 into 1.0 12.389 * [taylor]: Taking taylor expansion of b in a 12.389 * [backup-simplify]: Simplify b into b 12.389 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.389 * [taylor]: Taking taylor expansion of 1.0 in a 12.390 * [backup-simplify]: Simplify 1.0 into 1.0 12.390 * [taylor]: Taking taylor expansion of a in a 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 1 into 1 12.390 * [taylor]: Taking taylor expansion of PI in a 12.390 * [backup-simplify]: Simplify PI into PI 12.390 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.390 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.390 * [taylor]: Taking taylor expansion of a in a 12.390 * [backup-simplify]: Simplify 0 into 0 12.390 * [backup-simplify]: Simplify 1 into 1 12.390 * [backup-simplify]: Simplify (/ 1 1) into 1 12.390 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.390 * [taylor]: Taking taylor expansion of b in a 12.390 * [backup-simplify]: Simplify b into b 12.390 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.390 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.390 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.391 * [backup-simplify]: Simplify (- 0) into 0 12.391 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 12.391 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 12.391 * [backup-simplify]: Simplify (+ 1 0) into 1 12.391 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 12.391 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b)))) in b 12.391 * [taylor]: Taking taylor expansion of -0.5 in b 12.391 * [backup-simplify]: Simplify -0.5 into -0.5 12.391 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 12.391 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 12.391 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 12.391 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.391 * [taylor]: Taking taylor expansion of 1.0 in b 12.391 * [backup-simplify]: Simplify 1.0 into 1.0 12.391 * [taylor]: Taking taylor expansion of b in b 12.391 * [backup-simplify]: Simplify 0 into 0 12.391 * [backup-simplify]: Simplify 1 into 1 12.391 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.391 * [taylor]: Taking taylor expansion of 1.0 in b 12.391 * [backup-simplify]: Simplify 1.0 into 1.0 12.391 * [taylor]: Taking taylor expansion of a in b 12.391 * [backup-simplify]: Simplify a into a 12.391 * [taylor]: Taking taylor expansion of PI in b 12.391 * [backup-simplify]: Simplify PI into PI 12.391 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.391 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.391 * [taylor]: Taking taylor expansion of a in b 12.391 * [backup-simplify]: Simplify a into a 12.391 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.391 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.391 * [taylor]: Taking taylor expansion of b in b 12.392 * [backup-simplify]: Simplify 0 into 0 12.392 * [backup-simplify]: Simplify 1 into 1 12.392 * [backup-simplify]: Simplify (/ 1 1) into 1 12.392 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.392 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.392 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 12.392 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 12.392 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 12.393 * [backup-simplify]: Simplify (+ 0 1) into 1 12.393 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 12.393 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b)))) in b 12.393 * [taylor]: Taking taylor expansion of -0.5 in b 12.393 * [backup-simplify]: Simplify -0.5 into -0.5 12.393 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 12.393 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 12.393 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 12.393 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.393 * [taylor]: Taking taylor expansion of 1.0 in b 12.393 * [backup-simplify]: Simplify 1.0 into 1.0 12.393 * [taylor]: Taking taylor expansion of b in b 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 1 into 1 12.393 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.393 * [taylor]: Taking taylor expansion of 1.0 in b 12.393 * [backup-simplify]: Simplify 1.0 into 1.0 12.393 * [taylor]: Taking taylor expansion of a in b 12.393 * [backup-simplify]: Simplify a into a 12.393 * [taylor]: Taking taylor expansion of PI in b 12.393 * [backup-simplify]: Simplify PI into PI 12.393 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.393 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.393 * [taylor]: Taking taylor expansion of a in b 12.393 * [backup-simplify]: Simplify a into a 12.393 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.393 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.393 * [taylor]: Taking taylor expansion of b in b 12.393 * [backup-simplify]: Simplify 0 into 0 12.393 * [backup-simplify]: Simplify 1 into 1 12.393 * [backup-simplify]: Simplify (/ 1 1) into 1 12.394 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.394 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.394 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 12.394 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 12.394 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 12.394 * [backup-simplify]: Simplify (+ 0 1) into 1 12.394 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 12.394 * [backup-simplify]: Simplify (* -0.5 (* -1.0 (* a PI))) into (* 0.5 (* a PI)) 12.394 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 12.394 * [taylor]: Taking taylor expansion of 0.5 in a 12.394 * [backup-simplify]: Simplify 0.5 into 0.5 12.394 * [taylor]: Taking taylor expansion of (* a PI) in a 12.394 * [taylor]: Taking taylor expansion of a in a 12.394 * [backup-simplify]: Simplify 0 into 0 12.394 * [backup-simplify]: Simplify 1 into 1 12.394 * [taylor]: Taking taylor expansion of PI in a 12.394 * [backup-simplify]: Simplify PI into PI 12.395 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.396 * [backup-simplify]: Simplify (* 0 PI) into 0 12.397 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 12.397 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 12.398 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.398 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 12.398 * [backup-simplify]: Simplify (- 0) into 0 12.399 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.399 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 12.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.399 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.400 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* a PI)) (/ (/ 1 a) 1)))) into (* 2.0 PI) 12.401 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 PI)) (* 0 (* -1.0 (* a PI)))) into (- (* 1.0 PI)) 12.401 * [taylor]: Taking taylor expansion of (- (* 1.0 PI)) in a 12.401 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 12.401 * [taylor]: Taking taylor expansion of 1.0 in a 12.401 * [backup-simplify]: Simplify 1.0 into 1.0 12.401 * [taylor]: Taking taylor expansion of PI in a 12.401 * [backup-simplify]: Simplify PI into PI 12.402 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 12.402 * [backup-simplify]: Simplify (- 0) into 0 12.402 * [backup-simplify]: Simplify 0 into 0 12.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.403 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 12.403 * [backup-simplify]: Simplify 0 into 0 12.404 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.404 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 12.404 * [backup-simplify]: Simplify (- 0) into 0 12.404 * [backup-simplify]: Simplify (+ 0 0) into 0 12.405 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 12.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.406 * [backup-simplify]: Simplify (+ 0 0) into 0 12.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)) (* (* 2.0 PI) (/ (/ 1 a) 1)))) into (- (* 2.0 (/ PI a))) 12.407 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 (/ PI a)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* a PI))))) into (* 1.0 (/ PI a)) 12.407 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 12.407 * [taylor]: Taking taylor expansion of 1.0 in a 12.407 * [backup-simplify]: Simplify 1.0 into 1.0 12.407 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.407 * [taylor]: Taking taylor expansion of PI in a 12.407 * [backup-simplify]: Simplify PI into PI 12.407 * [taylor]: Taking taylor expansion of a in a 12.407 * [backup-simplify]: Simplify 0 into 0 12.407 * [backup-simplify]: Simplify 1 into 1 12.408 * [backup-simplify]: Simplify (/ PI 1) into PI 12.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.409 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.409 * [backup-simplify]: Simplify 0 into 0 12.410 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 12.410 * [backup-simplify]: Simplify (- 0) into 0 12.410 * [backup-simplify]: Simplify 0 into 0 12.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.412 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.412 * [backup-simplify]: Simplify 0 into 0 12.412 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.413 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 12.413 * [backup-simplify]: Simplify (- 0) into 0 12.413 * [backup-simplify]: Simplify (+ 0 0) into 0 12.414 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 12.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.415 * [backup-simplify]: Simplify (+ 0 0) into 0 12.417 * [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))) 12.418 * [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)))) 12.418 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 12.418 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 12.418 * [taylor]: Taking taylor expansion of 1.0 in a 12.418 * [backup-simplify]: Simplify 1.0 into 1.0 12.418 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.418 * [taylor]: Taking taylor expansion of PI in a 12.418 * [backup-simplify]: Simplify PI into PI 12.418 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.418 * [taylor]: Taking taylor expansion of a in a 12.418 * [backup-simplify]: Simplify 0 into 0 12.419 * [backup-simplify]: Simplify 1 into 1 12.419 * [backup-simplify]: Simplify (* 1 1) into 1 12.419 * [backup-simplify]: Simplify (/ PI 1) into PI 12.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.427 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.427 * [backup-simplify]: Simplify (- 0) into 0 12.427 * [backup-simplify]: Simplify 0 into 0 12.428 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 (- a)) (/ 1 (- b)))) into (* 0.5 (/ PI (* a b))) 12.428 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 12.429 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ b a)) into (* 0.5 (/ PI (+ a b))) 12.429 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (b a) around 0 12.429 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 12.429 * [taylor]: Taking taylor expansion of 0.5 in a 12.429 * [backup-simplify]: Simplify 0.5 into 0.5 12.429 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 12.429 * [taylor]: Taking taylor expansion of PI in a 12.429 * [backup-simplify]: Simplify PI into PI 12.429 * [taylor]: Taking taylor expansion of (+ a b) in a 12.429 * [taylor]: Taking taylor expansion of a in a 12.429 * [backup-simplify]: Simplify 0 into 0 12.429 * [backup-simplify]: Simplify 1 into 1 12.429 * [taylor]: Taking taylor expansion of b in a 12.429 * [backup-simplify]: Simplify b into b 12.429 * [backup-simplify]: Simplify (+ 0 b) into b 12.429 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 12.429 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 12.429 * [taylor]: Taking taylor expansion of 0.5 in b 12.429 * [backup-simplify]: Simplify 0.5 into 0.5 12.429 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 12.429 * [taylor]: Taking taylor expansion of PI in b 12.429 * [backup-simplify]: Simplify PI into PI 12.429 * [taylor]: Taking taylor expansion of (+ a b) in b 12.429 * [taylor]: Taking taylor expansion of a in b 12.429 * [backup-simplify]: Simplify a into a 12.429 * [taylor]: Taking taylor expansion of b in b 12.429 * [backup-simplify]: Simplify 0 into 0 12.430 * [backup-simplify]: Simplify 1 into 1 12.430 * [backup-simplify]: Simplify (+ a 0) into a 12.430 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 12.430 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 12.430 * [taylor]: Taking taylor expansion of 0.5 in b 12.430 * [backup-simplify]: Simplify 0.5 into 0.5 12.430 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 12.430 * [taylor]: Taking taylor expansion of PI in b 12.430 * [backup-simplify]: Simplify PI into PI 12.430 * [taylor]: Taking taylor expansion of (+ a b) in b 12.430 * [taylor]: Taking taylor expansion of a in b 12.430 * [backup-simplify]: Simplify a into a 12.430 * [taylor]: Taking taylor expansion of b in b 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify 1 into 1 12.431 * [backup-simplify]: Simplify (+ a 0) into a 12.431 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 12.431 * [backup-simplify]: Simplify (* 0.5 (/ PI a)) into (* 0.5 (/ PI a)) 12.431 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 12.431 * [taylor]: Taking taylor expansion of 0.5 in a 12.431 * [backup-simplify]: Simplify 0.5 into 0.5 12.431 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.431 * [taylor]: Taking taylor expansion of PI in a 12.431 * [backup-simplify]: Simplify PI into PI 12.431 * [taylor]: Taking taylor expansion of a in a 12.431 * [backup-simplify]: Simplify 0 into 0 12.431 * [backup-simplify]: Simplify 1 into 1 12.439 * [backup-simplify]: Simplify (/ PI 1) into PI 12.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.441 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 12.442 * [backup-simplify]: Simplify 0 into 0 12.442 * [backup-simplify]: Simplify (+ 0 1) into 1 12.442 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 12.443 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 0.5 (/ PI (pow a 2)))) 12.443 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 12.443 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 12.443 * [taylor]: Taking taylor expansion of 0.5 in a 12.443 * [backup-simplify]: Simplify 0.5 into 0.5 12.443 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.443 * [taylor]: Taking taylor expansion of PI in a 12.443 * [backup-simplify]: Simplify PI into PI 12.443 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.443 * [taylor]: Taking taylor expansion of a in a 12.443 * [backup-simplify]: Simplify 0 into 0 12.443 * [backup-simplify]: Simplify 1 into 1 12.443 * [backup-simplify]: Simplify (* 1 1) into 1 12.444 * [backup-simplify]: Simplify (/ PI 1) into PI 12.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.447 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.448 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.449 * [backup-simplify]: Simplify (- 0) into 0 12.449 * [backup-simplify]: Simplify 0 into 0 12.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.451 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.451 * [backup-simplify]: Simplify 0 into 0 12.451 * [backup-simplify]: Simplify (+ 0 0) into 0 12.452 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 12.452 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 0.5 (/ PI (pow a 3))) 12.453 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 12.453 * [taylor]: Taking taylor expansion of 0.5 in a 12.453 * [backup-simplify]: Simplify 0.5 into 0.5 12.453 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 12.453 * [taylor]: Taking taylor expansion of PI in a 12.453 * [backup-simplify]: Simplify PI into PI 12.453 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.453 * [taylor]: Taking taylor expansion of a in a 12.453 * [backup-simplify]: Simplify 0 into 0 12.453 * [backup-simplify]: Simplify 1 into 1 12.453 * [backup-simplify]: Simplify (* 1 1) into 1 12.454 * [backup-simplify]: Simplify (* 1 1) into 1 12.454 * [backup-simplify]: Simplify (/ PI 1) into PI 12.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.462 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.462 * [backup-simplify]: Simplify 0 into 0 12.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.464 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.464 * [backup-simplify]: Simplify (- 0) into 0 12.464 * [backup-simplify]: Simplify 0 into 0 12.464 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.465 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.465 * [backup-simplify]: Simplify 0 into 0 12.465 * [backup-simplify]: Simplify 0 into 0 12.466 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 12.466 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 12.466 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 12.466 * [taylor]: Taking taylor expansion of 0.5 in a 12.466 * [backup-simplify]: Simplify 0.5 into 0.5 12.466 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 12.466 * [taylor]: Taking taylor expansion of PI in a 12.466 * [backup-simplify]: Simplify PI into PI 12.466 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.466 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.466 * [taylor]: Taking taylor expansion of a in a 12.466 * [backup-simplify]: Simplify 0 into 0 12.466 * [backup-simplify]: Simplify 1 into 1 12.466 * [backup-simplify]: Simplify (/ 1 1) into 1 12.466 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.466 * [taylor]: Taking taylor expansion of b in a 12.466 * [backup-simplify]: Simplify b into b 12.466 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.466 * [backup-simplify]: Simplify (+ 1 0) into 1 12.467 * [backup-simplify]: Simplify (/ PI 1) into PI 12.467 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 12.467 * [taylor]: Taking taylor expansion of 0.5 in b 12.467 * [backup-simplify]: Simplify 0.5 into 0.5 12.467 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 12.467 * [taylor]: Taking taylor expansion of PI in b 12.467 * [backup-simplify]: Simplify PI into PI 12.467 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.467 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.467 * [taylor]: Taking taylor expansion of a in b 12.467 * [backup-simplify]: Simplify a into a 12.467 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.467 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.467 * [taylor]: Taking taylor expansion of b in b 12.467 * [backup-simplify]: Simplify 0 into 0 12.467 * [backup-simplify]: Simplify 1 into 1 12.467 * [backup-simplify]: Simplify (/ 1 1) into 1 12.468 * [backup-simplify]: Simplify (+ 0 1) into 1 12.468 * [backup-simplify]: Simplify (/ PI 1) into PI 12.468 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 12.468 * [taylor]: Taking taylor expansion of 0.5 in b 12.468 * [backup-simplify]: Simplify 0.5 into 0.5 12.468 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 12.468 * [taylor]: Taking taylor expansion of PI in b 12.468 * [backup-simplify]: Simplify PI into PI 12.468 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.468 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.468 * [taylor]: Taking taylor expansion of a in b 12.468 * [backup-simplify]: Simplify a into a 12.468 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.468 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.468 * [taylor]: Taking taylor expansion of b in b 12.468 * [backup-simplify]: Simplify 0 into 0 12.468 * [backup-simplify]: Simplify 1 into 1 12.468 * [backup-simplify]: Simplify (/ 1 1) into 1 12.469 * [backup-simplify]: Simplify (+ 0 1) into 1 12.469 * [backup-simplify]: Simplify (/ PI 1) into PI 12.469 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 12.469 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 12.469 * [taylor]: Taking taylor expansion of 0.5 in a 12.469 * [backup-simplify]: Simplify 0.5 into 0.5 12.469 * [taylor]: Taking taylor expansion of PI in a 12.469 * [backup-simplify]: Simplify PI into PI 12.470 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 12.470 * [backup-simplify]: Simplify 0 into 0 12.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.471 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.471 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 12.471 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI a))) (* 0 PI)) into (- (* 0.5 (/ PI a))) 12.471 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 12.471 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 12.471 * [taylor]: Taking taylor expansion of 0.5 in a 12.471 * [backup-simplify]: Simplify 0.5 into 0.5 12.471 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.471 * [taylor]: Taking taylor expansion of PI in a 12.471 * [backup-simplify]: Simplify PI into PI 12.471 * [taylor]: Taking taylor expansion of a in a 12.471 * [backup-simplify]: Simplify 0 into 0 12.471 * [backup-simplify]: Simplify 1 into 1 12.472 * [backup-simplify]: Simplify (/ PI 1) into PI 12.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.473 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.474 * [backup-simplify]: Simplify (- 0) into 0 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.474 * [backup-simplify]: Simplify 0 into 0 12.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.475 * [backup-simplify]: Simplify (+ 0 0) into 0 12.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 12.476 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 12.476 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 12.477 * [taylor]: Taking taylor expansion of 0.5 in a 12.477 * [backup-simplify]: Simplify 0.5 into 0.5 12.477 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.477 * [taylor]: Taking taylor expansion of PI in a 12.477 * [backup-simplify]: Simplify PI into PI 12.477 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.477 * [taylor]: Taking taylor expansion of a in a 12.477 * [backup-simplify]: Simplify 0 into 0 12.477 * [backup-simplify]: Simplify 1 into 1 12.477 * [backup-simplify]: Simplify (* 1 1) into 1 12.477 * [backup-simplify]: Simplify (/ PI 1) into PI 12.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.481 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.481 * [backup-simplify]: Simplify 0 into 0 12.482 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.483 * [backup-simplify]: Simplify (- 0) into 0 12.483 * [backup-simplify]: Simplify 0 into 0 12.483 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.483 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 12.484 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 12.484 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 12.484 * [taylor]: Taking taylor expansion of -0.5 in a 12.484 * [backup-simplify]: Simplify -0.5 into -0.5 12.484 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 12.484 * [taylor]: Taking taylor expansion of PI in a 12.484 * [backup-simplify]: Simplify PI into PI 12.484 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.484 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.484 * [taylor]: Taking taylor expansion of a in a 12.484 * [backup-simplify]: Simplify 0 into 0 12.484 * [backup-simplify]: Simplify 1 into 1 12.484 * [backup-simplify]: Simplify (/ 1 1) into 1 12.484 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.484 * [taylor]: Taking taylor expansion of b in a 12.484 * [backup-simplify]: Simplify b into b 12.485 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.485 * [backup-simplify]: Simplify (+ 1 0) into 1 12.485 * [backup-simplify]: Simplify (/ PI 1) into PI 12.485 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 12.485 * [taylor]: Taking taylor expansion of -0.5 in b 12.485 * [backup-simplify]: Simplify -0.5 into -0.5 12.485 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 12.485 * [taylor]: Taking taylor expansion of PI in b 12.485 * [backup-simplify]: Simplify PI into PI 12.485 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.485 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.485 * [taylor]: Taking taylor expansion of a in b 12.485 * [backup-simplify]: Simplify a into a 12.485 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.485 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.485 * [taylor]: Taking taylor expansion of b in b 12.485 * [backup-simplify]: Simplify 0 into 0 12.485 * [backup-simplify]: Simplify 1 into 1 12.486 * [backup-simplify]: Simplify (/ 1 1) into 1 12.486 * [backup-simplify]: Simplify (+ 0 1) into 1 12.486 * [backup-simplify]: Simplify (/ PI 1) into PI 12.486 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 12.486 * [taylor]: Taking taylor expansion of -0.5 in b 12.486 * [backup-simplify]: Simplify -0.5 into -0.5 12.486 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 12.486 * [taylor]: Taking taylor expansion of PI in b 12.486 * [backup-simplify]: Simplify PI into PI 12.486 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.486 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.486 * [taylor]: Taking taylor expansion of a in b 12.486 * [backup-simplify]: Simplify a into a 12.486 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.486 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.486 * [taylor]: Taking taylor expansion of b in b 12.486 * [backup-simplify]: Simplify 0 into 0 12.486 * [backup-simplify]: Simplify 1 into 1 12.487 * [backup-simplify]: Simplify (/ 1 1) into 1 12.487 * [backup-simplify]: Simplify (+ 0 1) into 1 12.487 * [backup-simplify]: Simplify (/ PI 1) into PI 12.488 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 12.488 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 12.488 * [taylor]: Taking taylor expansion of -0.5 in a 12.488 * [backup-simplify]: Simplify -0.5 into -0.5 12.488 * [taylor]: Taking taylor expansion of PI in a 12.488 * [backup-simplify]: Simplify PI into PI 12.489 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 12.489 * [backup-simplify]: Simplify 0 into 0 12.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.490 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 12.491 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI a))) (* 0 PI)) into (* 0.5 (/ PI a)) 12.491 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 12.491 * [taylor]: Taking taylor expansion of 0.5 in a 12.491 * [backup-simplify]: Simplify 0.5 into 0.5 12.491 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.491 * [taylor]: Taking taylor expansion of PI in a 12.491 * [backup-simplify]: Simplify PI into PI 12.491 * [taylor]: Taking taylor expansion of a in a 12.491 * [backup-simplify]: Simplify 0 into 0 12.491 * [backup-simplify]: Simplify 1 into 1 12.492 * [backup-simplify]: Simplify (/ PI 1) into PI 12.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.495 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.495 * [backup-simplify]: Simplify 0 into 0 12.496 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.496 * [backup-simplify]: Simplify 0 into 0 12.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.497 * [backup-simplify]: Simplify (+ 0 0) into 0 12.499 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 12.499 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (* 0.5 (/ PI (pow a 2)))) 12.499 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 12.499 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 12.500 * [taylor]: Taking taylor expansion of 0.5 in a 12.500 * [backup-simplify]: Simplify 0.5 into 0.5 12.500 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.500 * [taylor]: Taking taylor expansion of PI in a 12.500 * [backup-simplify]: Simplify PI into PI 12.500 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.500 * [taylor]: Taking taylor expansion of a in a 12.500 * [backup-simplify]: Simplify 0 into 0 12.500 * [backup-simplify]: Simplify 1 into 1 12.500 * [backup-simplify]: Simplify (* 1 1) into 1 12.501 * [backup-simplify]: Simplify (/ PI 1) into PI 12.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.505 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.507 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.508 * [backup-simplify]: Simplify (- 0) into 0 12.508 * [backup-simplify]: Simplify 0 into 0 12.509 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.510 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.510 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.511 * [backup-simplify]: Simplify 0 into 0 12.511 * [backup-simplify]: Simplify 0 into 0 12.511 * * * * [progress]: [ 3 / 4 ] generating series at (2) 12.512 * [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)))) 12.512 * [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 12.512 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in a 12.512 * [taylor]: Taking taylor expansion of 0.5 in a 12.512 * [backup-simplify]: Simplify 0.5 into 0.5 12.512 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b))) in a 12.512 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in a 12.512 * [taylor]: Taking taylor expansion of PI in a 12.512 * [backup-simplify]: Simplify PI into PI 12.512 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 12.512 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 12.512 * [taylor]: Taking taylor expansion of 1.0 in a 12.512 * [backup-simplify]: Simplify 1.0 into 1.0 12.512 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.512 * [taylor]: Taking taylor expansion of a in a 12.512 * [backup-simplify]: Simplify 0 into 0 12.512 * [backup-simplify]: Simplify 1 into 1 12.513 * [backup-simplify]: Simplify (/ 1 1) into 1 12.513 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 12.513 * [taylor]: Taking taylor expansion of 1.0 in a 12.513 * [backup-simplify]: Simplify 1.0 into 1.0 12.513 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.513 * [taylor]: Taking taylor expansion of b in a 12.513 * [backup-simplify]: Simplify b into b 12.513 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.513 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 12.513 * [taylor]: Taking taylor expansion of (- b a) in a 12.513 * [taylor]: Taking taylor expansion of b in a 12.513 * [backup-simplify]: Simplify b into b 12.513 * [taylor]: Taking taylor expansion of a in a 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify 1 into 1 12.513 * [taylor]: Taking taylor expansion of (+ a b) in a 12.513 * [taylor]: Taking taylor expansion of a in a 12.513 * [backup-simplify]: Simplify 0 into 0 12.513 * [backup-simplify]: Simplify 1 into 1 12.513 * [taylor]: Taking taylor expansion of b in a 12.513 * [backup-simplify]: Simplify b into b 12.514 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.514 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.515 * [backup-simplify]: Simplify (* PI 1.0) into (* 1.0 PI) 12.515 * [backup-simplify]: Simplify (- 0) into 0 12.515 * [backup-simplify]: Simplify (+ b 0) into b 12.515 * [backup-simplify]: Simplify (+ 0 b) into b 12.515 * [backup-simplify]: Simplify (* b b) into (pow b 2) 12.516 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 12.516 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in b 12.516 * [taylor]: Taking taylor expansion of 0.5 in b 12.516 * [backup-simplify]: Simplify 0.5 into 0.5 12.516 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b))) in b 12.516 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in b 12.516 * [taylor]: Taking taylor expansion of PI in b 12.516 * [backup-simplify]: Simplify PI into PI 12.516 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 12.516 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 12.516 * [taylor]: Taking taylor expansion of 1.0 in b 12.516 * [backup-simplify]: Simplify 1.0 into 1.0 12.516 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.516 * [taylor]: Taking taylor expansion of a in b 12.516 * [backup-simplify]: Simplify a into a 12.516 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.516 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 12.516 * [taylor]: Taking taylor expansion of 1.0 in b 12.516 * [backup-simplify]: Simplify 1.0 into 1.0 12.516 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.517 * [taylor]: Taking taylor expansion of b in b 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 1 into 1 12.517 * [backup-simplify]: Simplify (/ 1 1) into 1 12.517 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 12.517 * [taylor]: Taking taylor expansion of (- b a) in b 12.517 * [taylor]: Taking taylor expansion of b in b 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 1 into 1 12.517 * [taylor]: Taking taylor expansion of a in b 12.517 * [backup-simplify]: Simplify a into a 12.517 * [taylor]: Taking taylor expansion of (+ a b) in b 12.517 * [taylor]: Taking taylor expansion of a in b 12.517 * [backup-simplify]: Simplify a into a 12.517 * [taylor]: Taking taylor expansion of b in b 12.517 * [backup-simplify]: Simplify 0 into 0 12.517 * [backup-simplify]: Simplify 1 into 1 12.518 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.518 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.519 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.520 * [backup-simplify]: Simplify (* PI (- 1.0)) into (* -1.0 PI) 12.520 * [backup-simplify]: Simplify (- a) into (- a) 12.520 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 12.520 * [backup-simplify]: Simplify (+ a 0) into a 12.520 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 12.521 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 12.521 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b)))) in b 12.521 * [taylor]: Taking taylor expansion of 0.5 in b 12.521 * [backup-simplify]: Simplify 0.5 into 0.5 12.521 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) (* (- b a) (+ a b))) in b 12.521 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b)))) in b 12.521 * [taylor]: Taking taylor expansion of PI in b 12.521 * [backup-simplify]: Simplify PI into PI 12.521 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 12.521 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 12.521 * [taylor]: Taking taylor expansion of 1.0 in b 12.521 * [backup-simplify]: Simplify 1.0 into 1.0 12.521 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.521 * [taylor]: Taking taylor expansion of a in b 12.521 * [backup-simplify]: Simplify a into a 12.521 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.521 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 12.521 * [taylor]: Taking taylor expansion of 1.0 in b 12.521 * [backup-simplify]: Simplify 1.0 into 1.0 12.521 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.521 * [taylor]: Taking taylor expansion of b in b 12.521 * [backup-simplify]: Simplify 0 into 0 12.521 * [backup-simplify]: Simplify 1 into 1 12.522 * [backup-simplify]: Simplify (/ 1 1) into 1 12.522 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 12.522 * [taylor]: Taking taylor expansion of (- b a) in b 12.522 * [taylor]: Taking taylor expansion of b in b 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify 1 into 1 12.522 * [taylor]: Taking taylor expansion of a in b 12.522 * [backup-simplify]: Simplify a into a 12.522 * [taylor]: Taking taylor expansion of (+ a b) in b 12.522 * [taylor]: Taking taylor expansion of a in b 12.522 * [backup-simplify]: Simplify a into a 12.522 * [taylor]: Taking taylor expansion of b in b 12.522 * [backup-simplify]: Simplify 0 into 0 12.522 * [backup-simplify]: Simplify 1 into 1 12.522 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.523 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.524 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.525 * [backup-simplify]: Simplify (* PI (- 1.0)) into (* -1.0 PI) 12.525 * [backup-simplify]: Simplify (- a) into (- a) 12.525 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 12.525 * [backup-simplify]: Simplify (+ a 0) into a 12.525 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 12.525 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 12.526 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 12.526 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 12.526 * [taylor]: Taking taylor expansion of 0.5 in a 12.526 * [backup-simplify]: Simplify 0.5 into 0.5 12.526 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 12.526 * [taylor]: Taking taylor expansion of PI in a 12.526 * [backup-simplify]: Simplify PI into PI 12.526 * [taylor]: Taking taylor expansion of (pow a 2) in a 12.526 * [taylor]: Taking taylor expansion of a in a 12.526 * [backup-simplify]: Simplify 0 into 0 12.526 * [backup-simplify]: Simplify 1 into 1 12.526 * [backup-simplify]: Simplify (* 1 1) into 1 12.527 * [backup-simplify]: Simplify (/ PI 1) into PI 12.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.528 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.529 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 12.529 * [backup-simplify]: Simplify 0 into 0 12.529 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 12.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.531 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.531 * [backup-simplify]: Simplify (- 0) into 0 12.531 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 12.532 * [backup-simplify]: Simplify (+ (* PI (* 1.0 (/ 1 a))) (* 0 (- 1.0))) into (* 1.0 (/ PI a)) 12.532 * [backup-simplify]: Simplify (+ 0 1) into 1 12.532 * [backup-simplify]: Simplify (- 0) into 0 12.533 * [backup-simplify]: Simplify (+ 1 0) into 1 12.533 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 a)) into 0 12.534 * [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)))) 12.534 * [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)))) 12.534 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 12.534 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 12.534 * [taylor]: Taking taylor expansion of 0.5 in a 12.534 * [backup-simplify]: Simplify 0.5 into 0.5 12.534 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 12.534 * [taylor]: Taking taylor expansion of PI in a 12.534 * [backup-simplify]: Simplify PI into PI 12.534 * [taylor]: Taking taylor expansion of (pow a 3) in a 12.534 * [taylor]: Taking taylor expansion of a in a 12.534 * [backup-simplify]: Simplify 0 into 0 12.534 * [backup-simplify]: Simplify 1 into 1 12.535 * [backup-simplify]: Simplify (* 1 1) into 1 12.535 * [backup-simplify]: Simplify (* 1 1) into 1 12.536 * [backup-simplify]: Simplify (/ PI 1) into PI 12.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.540 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.541 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.542 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.542 * [backup-simplify]: Simplify (- 0) into 0 12.542 * [backup-simplify]: Simplify 0 into 0 12.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.544 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.545 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.545 * [backup-simplify]: Simplify 0 into 0 12.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.546 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 12.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.548 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.548 * [backup-simplify]: Simplify (- 0) into 0 12.548 * [backup-simplify]: Simplify (+ 0 0) into 0 12.549 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (* 1.0 (/ 1 a))) (* 0 (- 1.0)))) into 0 12.550 * [backup-simplify]: Simplify (+ 0 0) into 0 12.550 * [backup-simplify]: Simplify (- 0) into 0 12.550 * [backup-simplify]: Simplify (+ 0 0) into 0 12.551 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 a))) into 1 12.552 * [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))) 12.553 * [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))) 12.553 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 12.553 * [taylor]: Taking taylor expansion of 0.5 in a 12.553 * [backup-simplify]: Simplify 0.5 into 0.5 12.553 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 12.553 * [taylor]: Taking taylor expansion of PI in a 12.553 * [backup-simplify]: Simplify PI into PI 12.553 * [taylor]: Taking taylor expansion of (pow a 4) in a 12.553 * [taylor]: Taking taylor expansion of a in a 12.553 * [backup-simplify]: Simplify 0 into 0 12.553 * [backup-simplify]: Simplify 1 into 1 12.554 * [backup-simplify]: Simplify (* 1 1) into 1 12.554 * [backup-simplify]: Simplify (* 1 1) into 1 12.554 * [backup-simplify]: Simplify (/ PI 1) into PI 12.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 12.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 12.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.564 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.564 * [backup-simplify]: Simplify 0 into 0 12.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.568 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.569 * [backup-simplify]: Simplify (- 0) into 0 12.569 * [backup-simplify]: Simplify 0 into 0 12.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.579 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.579 * [backup-simplify]: Simplify 0 into 0 12.581 * [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))))) 12.581 * [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 12.581 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in a 12.581 * [taylor]: Taking taylor expansion of 0.5 in a 12.581 * [backup-simplify]: Simplify 0.5 into 0.5 12.581 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in a 12.581 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 12.581 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 12.581 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.581 * [taylor]: Taking taylor expansion of 1.0 in a 12.581 * [backup-simplify]: Simplify 1.0 into 1.0 12.581 * [taylor]: Taking taylor expansion of a in a 12.581 * [backup-simplify]: Simplify 0 into 0 12.581 * [backup-simplify]: Simplify 1 into 1 12.581 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.581 * [taylor]: Taking taylor expansion of 1.0 in a 12.581 * [backup-simplify]: Simplify 1.0 into 1.0 12.581 * [taylor]: Taking taylor expansion of b in a 12.581 * [backup-simplify]: Simplify b into b 12.581 * [taylor]: Taking taylor expansion of PI in a 12.581 * [backup-simplify]: Simplify PI into PI 12.581 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in a 12.581 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 12.581 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.581 * [taylor]: Taking taylor expansion of b in a 12.581 * [backup-simplify]: Simplify b into b 12.581 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.581 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.581 * [taylor]: Taking taylor expansion of a in a 12.581 * [backup-simplify]: Simplify 0 into 0 12.581 * [backup-simplify]: Simplify 1 into 1 12.581 * [backup-simplify]: Simplify (/ 1 1) into 1 12.581 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.581 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.582 * [taylor]: Taking taylor expansion of a in a 12.582 * [backup-simplify]: Simplify 0 into 0 12.582 * [backup-simplify]: Simplify 1 into 1 12.582 * [backup-simplify]: Simplify (/ 1 1) into 1 12.582 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.582 * [taylor]: Taking taylor expansion of b in a 12.582 * [backup-simplify]: Simplify b into b 12.582 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.582 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.582 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.582 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 12.582 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 12.582 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 12.583 * [backup-simplify]: Simplify (- 1) into -1 12.583 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.583 * [backup-simplify]: Simplify (+ 1 0) into 1 12.583 * [backup-simplify]: Simplify (* -1 1) into -1 12.583 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 12.583 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 12.584 * [taylor]: Taking taylor expansion of 0.5 in b 12.584 * [backup-simplify]: Simplify 0.5 into 0.5 12.584 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 12.584 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 12.584 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 12.584 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.584 * [taylor]: Taking taylor expansion of 1.0 in b 12.584 * [backup-simplify]: Simplify 1.0 into 1.0 12.584 * [taylor]: Taking taylor expansion of a in b 12.584 * [backup-simplify]: Simplify a into a 12.584 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.584 * [taylor]: Taking taylor expansion of 1.0 in b 12.584 * [backup-simplify]: Simplify 1.0 into 1.0 12.584 * [taylor]: Taking taylor expansion of b in b 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify 1 into 1 12.584 * [taylor]: Taking taylor expansion of PI in b 12.584 * [backup-simplify]: Simplify PI into PI 12.584 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 12.584 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 12.584 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.584 * [taylor]: Taking taylor expansion of b in b 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify 1 into 1 12.584 * [backup-simplify]: Simplify (/ 1 1) into 1 12.584 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.584 * [taylor]: Taking taylor expansion of a in b 12.584 * [backup-simplify]: Simplify a into a 12.584 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.584 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.584 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.584 * [taylor]: Taking taylor expansion of a in b 12.584 * [backup-simplify]: Simplify a into a 12.584 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.584 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.584 * [taylor]: Taking taylor expansion of b in b 12.584 * [backup-simplify]: Simplify 0 into 0 12.584 * [backup-simplify]: Simplify 1 into 1 12.585 * [backup-simplify]: Simplify (/ 1 1) into 1 12.585 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.585 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.585 * [backup-simplify]: Simplify (- 0) into 0 12.585 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 12.585 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 12.586 * [backup-simplify]: Simplify (+ 1 0) into 1 12.586 * [backup-simplify]: Simplify (+ 0 1) into 1 12.586 * [backup-simplify]: Simplify (* 1 1) into 1 12.586 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 12.586 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))))) in b 12.586 * [taylor]: Taking taylor expansion of 0.5 in b 12.586 * [backup-simplify]: Simplify 0.5 into 0.5 12.586 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b)))) in b 12.586 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 12.586 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 12.586 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.586 * [taylor]: Taking taylor expansion of 1.0 in b 12.586 * [backup-simplify]: Simplify 1.0 into 1.0 12.586 * [taylor]: Taking taylor expansion of a in b 12.586 * [backup-simplify]: Simplify a into a 12.586 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.586 * [taylor]: Taking taylor expansion of 1.0 in b 12.586 * [backup-simplify]: Simplify 1.0 into 1.0 12.586 * [taylor]: Taking taylor expansion of b in b 12.586 * [backup-simplify]: Simplify 0 into 0 12.586 * [backup-simplify]: Simplify 1 into 1 12.586 * [taylor]: Taking taylor expansion of PI in b 12.586 * [backup-simplify]: Simplify PI into PI 12.586 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (+ (/ 1 a) (/ 1 b))) in b 12.586 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 12.586 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.586 * [taylor]: Taking taylor expansion of b in b 12.587 * [backup-simplify]: Simplify 0 into 0 12.587 * [backup-simplify]: Simplify 1 into 1 12.587 * [backup-simplify]: Simplify (/ 1 1) into 1 12.587 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.587 * [taylor]: Taking taylor expansion of a in b 12.587 * [backup-simplify]: Simplify a into a 12.587 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.587 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.587 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.587 * [taylor]: Taking taylor expansion of a in b 12.587 * [backup-simplify]: Simplify a into a 12.587 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.587 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.587 * [taylor]: Taking taylor expansion of b in b 12.587 * [backup-simplify]: Simplify 0 into 0 12.587 * [backup-simplify]: Simplify 1 into 1 12.587 * [backup-simplify]: Simplify (/ 1 1) into 1 12.587 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.588 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.588 * [backup-simplify]: Simplify (- 0) into 0 12.588 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 12.588 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 12.588 * [backup-simplify]: Simplify (+ 1 0) into 1 12.588 * [backup-simplify]: Simplify (+ 0 1) into 1 12.589 * [backup-simplify]: Simplify (* 1 1) into 1 12.589 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 12.589 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 12.589 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 12.589 * [taylor]: Taking taylor expansion of 0.5 in a 12.589 * [backup-simplify]: Simplify 0.5 into 0.5 12.589 * [taylor]: Taking taylor expansion of (* a PI) in a 12.589 * [taylor]: Taking taylor expansion of a in a 12.589 * [backup-simplify]: Simplify 0 into 0 12.589 * [backup-simplify]: Simplify 1 into 1 12.589 * [taylor]: Taking taylor expansion of PI in a 12.589 * [backup-simplify]: Simplify PI into PI 12.590 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.591 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.591 * [backup-simplify]: Simplify (* 0 PI) into 0 12.592 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 12.592 * [backup-simplify]: Simplify 0 into 0 12.592 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 12.593 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.593 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.594 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.595 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 12.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.595 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.596 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 12.596 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 12.596 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (- (/ 1 a)) 1)) into 0 12.597 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 12.598 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 12.598 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 12.598 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 12.598 * [taylor]: Taking taylor expansion of 0.5 in a 12.598 * [backup-simplify]: Simplify 0.5 into 0.5 12.598 * [taylor]: Taking taylor expansion of PI in a 12.598 * [backup-simplify]: Simplify PI into PI 12.599 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.599 * [backup-simplify]: Simplify (- 0) into 0 12.599 * [backup-simplify]: Simplify 0 into 0 12.600 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.601 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.601 * [backup-simplify]: Simplify 0 into 0 12.601 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 12.602 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.602 * [backup-simplify]: Simplify (- 0) into 0 12.602 * [backup-simplify]: Simplify (+ 0 0) into 0 12.603 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 12.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.604 * [backup-simplify]: Simplify (+ 0 0) into 0 12.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.605 * [backup-simplify]: Simplify (- 0) into 0 12.605 * [backup-simplify]: Simplify (+ 0 0) into 0 12.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 1))) into (- (/ 1 (pow a 2))) 12.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 12.609 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 12.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 12.609 * [taylor]: Taking taylor expansion of 0.5 in a 12.609 * [backup-simplify]: Simplify 0.5 into 0.5 12.609 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.609 * [taylor]: Taking taylor expansion of PI in a 12.609 * [backup-simplify]: Simplify PI into PI 12.609 * [taylor]: Taking taylor expansion of a in a 12.609 * [backup-simplify]: Simplify 0 into 0 12.610 * [backup-simplify]: Simplify 1 into 1 12.610 * [backup-simplify]: Simplify (/ PI 1) into PI 12.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.614 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.614 * [backup-simplify]: Simplify 0 into 0 12.616 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.616 * [backup-simplify]: Simplify (- 0) into 0 12.616 * [backup-simplify]: Simplify 0 into 0 12.617 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.619 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.619 * [backup-simplify]: Simplify 0 into 0 12.619 * [backup-simplify]: Simplify 0 into 0 12.620 * [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))))) 12.620 * [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 12.620 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 12.620 * [taylor]: Taking taylor expansion of -0.5 in a 12.620 * [backup-simplify]: Simplify -0.5 into -0.5 12.620 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 12.620 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in a 12.620 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 12.620 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.620 * [taylor]: Taking taylor expansion of 1.0 in a 12.620 * [backup-simplify]: Simplify 1.0 into 1.0 12.620 * [taylor]: Taking taylor expansion of b in a 12.620 * [backup-simplify]: Simplify b into b 12.620 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.620 * [taylor]: Taking taylor expansion of 1.0 in a 12.621 * [backup-simplify]: Simplify 1.0 into 1.0 12.621 * [taylor]: Taking taylor expansion of a in a 12.621 * [backup-simplify]: Simplify 0 into 0 12.621 * [backup-simplify]: Simplify 1 into 1 12.621 * [taylor]: Taking taylor expansion of PI in a 12.621 * [backup-simplify]: Simplify PI into PI 12.621 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 12.621 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 12.621 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.621 * [taylor]: Taking taylor expansion of a in a 12.621 * [backup-simplify]: Simplify 0 into 0 12.621 * [backup-simplify]: Simplify 1 into 1 12.621 * [backup-simplify]: Simplify (/ 1 1) into 1 12.621 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.621 * [taylor]: Taking taylor expansion of b in a 12.621 * [backup-simplify]: Simplify b into b 12.621 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.621 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 12.621 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.621 * [taylor]: Taking taylor expansion of a in a 12.622 * [backup-simplify]: Simplify 0 into 0 12.622 * [backup-simplify]: Simplify 1 into 1 12.622 * [backup-simplify]: Simplify (/ 1 1) into 1 12.622 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.622 * [taylor]: Taking taylor expansion of b in a 12.622 * [backup-simplify]: Simplify b into b 12.622 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.622 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.623 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.623 * [backup-simplify]: Simplify (- 0) into 0 12.623 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 12.623 * [backup-simplify]: Simplify (* (* 1.0 b) PI) into (* 1.0 (* PI b)) 12.623 * [backup-simplify]: Simplify (+ 1 0) into 1 12.624 * [backup-simplify]: Simplify (+ 1 0) into 1 12.624 * [backup-simplify]: Simplify (* 1 1) into 1 12.624 * [backup-simplify]: Simplify (/ (* 1.0 (* PI b)) 1) into (* 1.0 (* b PI)) 12.624 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 12.624 * [taylor]: Taking taylor expansion of -0.5 in b 12.624 * [backup-simplify]: Simplify -0.5 into -0.5 12.624 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 12.625 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 12.625 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 12.625 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.625 * [taylor]: Taking taylor expansion of 1.0 in b 12.625 * [backup-simplify]: Simplify 1.0 into 1.0 12.625 * [taylor]: Taking taylor expansion of b in b 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.625 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.625 * [taylor]: Taking taylor expansion of 1.0 in b 12.625 * [backup-simplify]: Simplify 1.0 into 1.0 12.625 * [taylor]: Taking taylor expansion of a in b 12.625 * [backup-simplify]: Simplify a into a 12.625 * [taylor]: Taking taylor expansion of PI in b 12.625 * [backup-simplify]: Simplify PI into PI 12.625 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 12.625 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.625 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.625 * [taylor]: Taking taylor expansion of a in b 12.625 * [backup-simplify]: Simplify a into a 12.625 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.625 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.625 * [taylor]: Taking taylor expansion of b in b 12.625 * [backup-simplify]: Simplify 0 into 0 12.625 * [backup-simplify]: Simplify 1 into 1 12.626 * [backup-simplify]: Simplify (/ 1 1) into 1 12.626 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 12.626 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.626 * [taylor]: Taking taylor expansion of a in b 12.626 * [backup-simplify]: Simplify a into a 12.626 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.626 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.626 * [taylor]: Taking taylor expansion of b in b 12.626 * [backup-simplify]: Simplify 0 into 0 12.626 * [backup-simplify]: Simplify 1 into 1 12.626 * [backup-simplify]: Simplify (/ 1 1) into 1 12.627 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.627 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.627 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 12.627 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 12.627 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 12.627 * [backup-simplify]: Simplify (+ 0 1) into 1 12.628 * [backup-simplify]: Simplify (- 1) into -1 12.628 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.628 * [backup-simplify]: Simplify (* 1 -1) into -1 12.628 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 12.628 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 12.628 * [taylor]: Taking taylor expansion of -0.5 in b 12.628 * [backup-simplify]: Simplify -0.5 into -0.5 12.628 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 b) (* 1.0 a)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 12.628 * [taylor]: Taking taylor expansion of (* (- (* 1.0 b) (* 1.0 a)) PI) in b 12.628 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 12.628 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.628 * [taylor]: Taking taylor expansion of 1.0 in b 12.629 * [backup-simplify]: Simplify 1.0 into 1.0 12.629 * [taylor]: Taking taylor expansion of b in b 12.629 * [backup-simplify]: Simplify 0 into 0 12.629 * [backup-simplify]: Simplify 1 into 1 12.629 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.629 * [taylor]: Taking taylor expansion of 1.0 in b 12.629 * [backup-simplify]: Simplify 1.0 into 1.0 12.629 * [taylor]: Taking taylor expansion of a in b 12.629 * [backup-simplify]: Simplify a into a 12.629 * [taylor]: Taking taylor expansion of PI in b 12.629 * [backup-simplify]: Simplify PI into PI 12.629 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 12.629 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 12.629 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.629 * [taylor]: Taking taylor expansion of a in b 12.629 * [backup-simplify]: Simplify a into a 12.629 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.629 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.629 * [taylor]: Taking taylor expansion of b in b 12.629 * [backup-simplify]: Simplify 0 into 0 12.629 * [backup-simplify]: Simplify 1 into 1 12.629 * [backup-simplify]: Simplify (/ 1 1) into 1 12.629 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 12.629 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.629 * [taylor]: Taking taylor expansion of a in b 12.629 * [backup-simplify]: Simplify a into a 12.629 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.630 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.630 * [taylor]: Taking taylor expansion of b in b 12.630 * [backup-simplify]: Simplify 0 into 0 12.630 * [backup-simplify]: Simplify 1 into 1 12.630 * [backup-simplify]: Simplify (/ 1 1) into 1 12.630 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.630 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 12.630 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 12.630 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 12.630 * [backup-simplify]: Simplify (* (- (* 1.0 a)) PI) into (* -1.0 (* a PI)) 12.631 * [backup-simplify]: Simplify (+ 0 1) into 1 12.631 * [backup-simplify]: Simplify (- 1) into -1 12.631 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.631 * [backup-simplify]: Simplify (* 1 -1) into -1 12.631 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 12.632 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* a PI))) into (* -0.5 (* a PI)) 12.632 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 12.632 * [taylor]: Taking taylor expansion of -0.5 in a 12.632 * [backup-simplify]: Simplify -0.5 into -0.5 12.632 * [taylor]: Taking taylor expansion of (* a PI) in a 12.632 * [taylor]: Taking taylor expansion of a in a 12.632 * [backup-simplify]: Simplify 0 into 0 12.632 * [backup-simplify]: Simplify 1 into 1 12.632 * [taylor]: Taking taylor expansion of PI in a 12.632 * [backup-simplify]: Simplify PI into PI 12.632 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 12.633 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.634 * [backup-simplify]: Simplify (* 0 PI) into 0 12.634 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 12.634 * [backup-simplify]: Simplify 0 into 0 12.635 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.635 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 12.636 * [backup-simplify]: Simplify (- 0) into 0 12.636 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.636 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (* 1.0 PI)) into (* 1.0 PI) 12.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.637 * [backup-simplify]: Simplify (- 0) into 0 12.637 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.638 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 12.638 * [backup-simplify]: Simplify (+ (* 1 (/ 1 a)) (* (/ 1 a) -1)) into 0 12.639 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* a PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 12.640 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (* 0.5 PI) 12.640 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 12.640 * [taylor]: Taking taylor expansion of 0.5 in a 12.640 * [backup-simplify]: Simplify 0.5 into 0.5 12.640 * [taylor]: Taking taylor expansion of PI in a 12.640 * [backup-simplify]: Simplify PI into PI 12.640 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 12.640 * [backup-simplify]: Simplify 0 into 0 12.641 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 12.642 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 12.642 * [backup-simplify]: Simplify 0 into 0 12.643 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.643 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 12.643 * [backup-simplify]: Simplify (- 0) into 0 12.643 * [backup-simplify]: Simplify (+ 0 0) into 0 12.644 * [backup-simplify]: Simplify (+ (* (- (* 1.0 a)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 12.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.645 * [backup-simplify]: Simplify (- 0) into 0 12.645 * [backup-simplify]: Simplify (+ 0 0) into 0 12.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 12.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.646 * [backup-simplify]: Simplify (+ 0 0) into 0 12.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 a)) (* 0 -1))) into (/ 1 (pow a 2)) 12.648 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* a PI)) (/ (/ 1 (pow a 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI a)) 12.648 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 12.648 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 12.648 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 12.648 * [taylor]: Taking taylor expansion of 0.5 in a 12.648 * [backup-simplify]: Simplify 0.5 into 0.5 12.648 * [taylor]: Taking taylor expansion of (/ PI a) in a 12.648 * [taylor]: Taking taylor expansion of PI in a 12.648 * [backup-simplify]: Simplify PI into PI 12.648 * [taylor]: Taking taylor expansion of a in a 12.648 * [backup-simplify]: Simplify 0 into 0 12.648 * [backup-simplify]: Simplify 1 into 1 12.649 * [backup-simplify]: Simplify (/ PI 1) into PI 12.649 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.651 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.651 * [backup-simplify]: Simplify (- 0) into 0 12.651 * [backup-simplify]: Simplify 0 into 0 12.652 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 12.652 * [backup-simplify]: Simplify 0 into 0 12.653 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 12.654 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 12.654 * [backup-simplify]: Simplify 0 into 0 12.654 * [backup-simplify]: Simplify 0 into 0 12.654 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 12.654 * [backup-simplify]: Simplify (- (/ 1.0 a) (/ 1.0 b)) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 12.654 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in (a b) around 0 12.654 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 12.654 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 12.654 * [taylor]: Taking taylor expansion of 1.0 in b 12.654 * [backup-simplify]: Simplify 1.0 into 1.0 12.654 * [taylor]: Taking taylor expansion of (/ 1 a) in b 12.654 * [taylor]: Taking taylor expansion of a in b 12.654 * [backup-simplify]: Simplify a into a 12.654 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 12.654 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 12.654 * [taylor]: Taking taylor expansion of 1.0 in b 12.654 * [backup-simplify]: Simplify 1.0 into 1.0 12.654 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.654 * [taylor]: Taking taylor expansion of b in b 12.654 * [backup-simplify]: Simplify 0 into 0 12.654 * [backup-simplify]: Simplify 1 into 1 12.654 * [backup-simplify]: Simplify (/ 1 1) into 1 12.654 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 12.654 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 12.654 * [taylor]: Taking taylor expansion of 1.0 in a 12.654 * [backup-simplify]: Simplify 1.0 into 1.0 12.654 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.654 * [taylor]: Taking taylor expansion of a in a 12.655 * [backup-simplify]: Simplify 0 into 0 12.655 * [backup-simplify]: Simplify 1 into 1 12.655 * [backup-simplify]: Simplify (/ 1 1) into 1 12.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 12.655 * [taylor]: Taking taylor expansion of 1.0 in a 12.655 * [backup-simplify]: Simplify 1.0 into 1.0 12.655 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.655 * [taylor]: Taking taylor expansion of b in a 12.655 * [backup-simplify]: Simplify b into b 12.655 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.655 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 12.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 12.655 * [taylor]: Taking taylor expansion of 1.0 in a 12.655 * [backup-simplify]: Simplify 1.0 into 1.0 12.655 * [taylor]: Taking taylor expansion of (/ 1 a) in a 12.655 * [taylor]: Taking taylor expansion of a in a 12.655 * [backup-simplify]: Simplify 0 into 0 12.655 * [backup-simplify]: Simplify 1 into 1 12.655 * [backup-simplify]: Simplify (/ 1 1) into 1 12.655 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 12.655 * [taylor]: Taking taylor expansion of 1.0 in a 12.655 * [backup-simplify]: Simplify 1.0 into 1.0 12.655 * [taylor]: Taking taylor expansion of (/ 1 b) in a 12.655 * [taylor]: Taking taylor expansion of b in a 12.655 * [backup-simplify]: Simplify b into b 12.655 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 12.656 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.656 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.656 * [taylor]: Taking taylor expansion of 1.0 in b 12.656 * [backup-simplify]: Simplify 1.0 into 1.0 12.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.657 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.657 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 12.657 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 12.657 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 12.657 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b))) in b 12.657 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 12.657 * [taylor]: Taking taylor expansion of 1.0 in b 12.657 * [backup-simplify]: Simplify 1.0 into 1.0 12.657 * [taylor]: Taking taylor expansion of (/ 1 b) in b 12.657 * [taylor]: Taking taylor expansion of b in b 12.657 * [backup-simplify]: Simplify 0 into 0 12.657 * [backup-simplify]: Simplify 1 into 1 12.658 * [backup-simplify]: Simplify (/ 1 1) into 1 12.658 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 12.658 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.658 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.658 * [backup-simplify]: Simplify 1.0 into 1.0 12.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.659 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 12.660 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 12.660 * [backup-simplify]: Simplify (- 0) into 0 12.661 * [backup-simplify]: Simplify (+ 0 0) into 0 12.661 * [taylor]: Taking taylor expansion of 0 in b 12.661 * [backup-simplify]: Simplify 0 into 0 12.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 12.662 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 12.663 * [backup-simplify]: Simplify (- 0) into 0 12.663 * [backup-simplify]: Simplify 0 into 0 12.663 * [backup-simplify]: Simplify 0 into 0 12.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.665 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 12.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 12.666 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 12.666 * [backup-simplify]: Simplify (- 0) into 0 12.667 * [backup-simplify]: Simplify (+ 0 0) into 0 12.667 * [taylor]: Taking taylor expansion of 0 in b 12.667 * [backup-simplify]: Simplify 0 into 0 12.667 * [backup-simplify]: Simplify 0 into 0 12.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.669 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 12.669 * [backup-simplify]: Simplify (- 0) into 0 12.669 * [backup-simplify]: Simplify 0 into 0 12.669 * [backup-simplify]: Simplify 0 into 0 12.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.672 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 12.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 12.673 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 12.673 * [backup-simplify]: Simplify (- 0) into 0 12.674 * [backup-simplify]: Simplify (+ 0 0) into 0 12.674 * [taylor]: Taking taylor expansion of 0 in b 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 a))) (* (- 1.0) (* (/ 1 b) 1))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 12.674 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) into (- (* 1.0 a) (* 1.0 b)) 12.674 * [approximate]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in (a b) around 0 12.674 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 12.674 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.674 * [taylor]: Taking taylor expansion of 1.0 in b 12.674 * [backup-simplify]: Simplify 1.0 into 1.0 12.674 * [taylor]: Taking taylor expansion of a in b 12.674 * [backup-simplify]: Simplify a into a 12.674 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.674 * [taylor]: Taking taylor expansion of 1.0 in b 12.674 * [backup-simplify]: Simplify 1.0 into 1.0 12.674 * [taylor]: Taking taylor expansion of b in b 12.674 * [backup-simplify]: Simplify 0 into 0 12.674 * [backup-simplify]: Simplify 1 into 1 12.674 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 12.674 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.674 * [taylor]: Taking taylor expansion of 1.0 in a 12.675 * [backup-simplify]: Simplify 1.0 into 1.0 12.675 * [taylor]: Taking taylor expansion of a in a 12.675 * [backup-simplify]: Simplify 0 into 0 12.675 * [backup-simplify]: Simplify 1 into 1 12.675 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.675 * [taylor]: Taking taylor expansion of 1.0 in a 12.675 * [backup-simplify]: Simplify 1.0 into 1.0 12.675 * [taylor]: Taking taylor expansion of b in a 12.675 * [backup-simplify]: Simplify b into b 12.675 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 12.675 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.675 * [taylor]: Taking taylor expansion of 1.0 in a 12.675 * [backup-simplify]: Simplify 1.0 into 1.0 12.675 * [taylor]: Taking taylor expansion of a in a 12.675 * [backup-simplify]: Simplify 0 into 0 12.675 * [backup-simplify]: Simplify 1 into 1 12.675 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.675 * [taylor]: Taking taylor expansion of 1.0 in a 12.675 * [backup-simplify]: Simplify 1.0 into 1.0 12.675 * [taylor]: Taking taylor expansion of b in a 12.675 * [backup-simplify]: Simplify b into b 12.675 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.675 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.675 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 12.675 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 12.675 * [taylor]: Taking taylor expansion of (- (* 1.0 b)) in b 12.675 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.675 * [taylor]: Taking taylor expansion of 1.0 in b 12.675 * [backup-simplify]: Simplify 1.0 into 1.0 12.675 * [taylor]: Taking taylor expansion of b in b 12.675 * [backup-simplify]: Simplify 0 into 0 12.675 * [backup-simplify]: Simplify 1 into 1 12.676 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.676 * [backup-simplify]: Simplify (- 0) into 0 12.676 * [backup-simplify]: Simplify 0 into 0 12.677 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.677 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 12.677 * [backup-simplify]: Simplify (- 0) into 0 12.678 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 12.678 * [taylor]: Taking taylor expansion of 1.0 in b 12.678 * [backup-simplify]: Simplify 1.0 into 1.0 12.678 * [backup-simplify]: Simplify 1.0 into 1.0 12.678 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.679 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.679 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.680 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.680 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 12.680 * [backup-simplify]: Simplify (- 0) into 0 12.681 * [backup-simplify]: Simplify (+ 0 0) into 0 12.681 * [taylor]: Taking taylor expansion of 0 in b 12.681 * [backup-simplify]: Simplify 0 into 0 12.681 * [backup-simplify]: Simplify 0 into 0 12.681 * [backup-simplify]: Simplify 0 into 0 12.681 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.681 * [backup-simplify]: Simplify (- 0) into 0 12.681 * [backup-simplify]: Simplify 0 into 0 12.682 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.683 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 12.683 * [backup-simplify]: Simplify (- 0) into 0 12.683 * [backup-simplify]: Simplify (+ 0 0) into 0 12.683 * [taylor]: Taking taylor expansion of 0 in b 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify 0 into 0 12.683 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 b) 1)) (* 1.0 (* 1 (/ 1 a)))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 12.684 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) into (- (* 1.0 b) (* 1.0 a)) 12.684 * [approximate]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in (a b) around 0 12.684 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 12.684 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.684 * [taylor]: Taking taylor expansion of 1.0 in b 12.684 * [backup-simplify]: Simplify 1.0 into 1.0 12.684 * [taylor]: Taking taylor expansion of b in b 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify 1 into 1 12.684 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 12.684 * [taylor]: Taking taylor expansion of 1.0 in b 12.684 * [backup-simplify]: Simplify 1.0 into 1.0 12.684 * [taylor]: Taking taylor expansion of a in b 12.684 * [backup-simplify]: Simplify a into a 12.684 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 12.684 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.684 * [taylor]: Taking taylor expansion of 1.0 in a 12.684 * [backup-simplify]: Simplify 1.0 into 1.0 12.684 * [taylor]: Taking taylor expansion of b in a 12.684 * [backup-simplify]: Simplify b into b 12.684 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.684 * [taylor]: Taking taylor expansion of 1.0 in a 12.684 * [backup-simplify]: Simplify 1.0 into 1.0 12.684 * [taylor]: Taking taylor expansion of a in a 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify 1 into 1 12.684 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 12.684 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 12.684 * [taylor]: Taking taylor expansion of 1.0 in a 12.684 * [backup-simplify]: Simplify 1.0 into 1.0 12.684 * [taylor]: Taking taylor expansion of b in a 12.684 * [backup-simplify]: Simplify b into b 12.684 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 12.684 * [taylor]: Taking taylor expansion of 1.0 in a 12.684 * [backup-simplify]: Simplify 1.0 into 1.0 12.684 * [taylor]: Taking taylor expansion of a in a 12.684 * [backup-simplify]: Simplify 0 into 0 12.684 * [backup-simplify]: Simplify 1 into 1 12.685 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 12.685 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.690 * [backup-simplify]: Simplify (- 0) into 0 12.691 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 12.691 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 12.691 * [taylor]: Taking taylor expansion of 1.0 in b 12.691 * [backup-simplify]: Simplify 1.0 into 1.0 12.691 * [taylor]: Taking taylor expansion of b in b 12.691 * [backup-simplify]: Simplify 0 into 0 12.691 * [backup-simplify]: Simplify 1 into 1 12.691 * [backup-simplify]: Simplify (* 1.0 0) into 0 12.691 * [backup-simplify]: Simplify 0 into 0 12.692 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 12.693 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.693 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.693 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 12.693 * [taylor]: Taking taylor expansion of (- 1.0) in b 12.693 * [taylor]: Taking taylor expansion of 1.0 in b 12.694 * [backup-simplify]: Simplify 1.0 into 1.0 12.694 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.694 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 12.695 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 12.695 * [backup-simplify]: Simplify 1.0 into 1.0 12.695 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 12.696 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.696 * [backup-simplify]: Simplify (- 0) into 0 12.696 * [backup-simplify]: Simplify (+ 0 0) into 0 12.696 * [taylor]: Taking taylor expansion of 0 in b 12.696 * [backup-simplify]: Simplify 0 into 0 12.696 * [backup-simplify]: Simplify 0 into 0 12.697 * [backup-simplify]: Simplify (- 0) into 0 12.697 * [backup-simplify]: Simplify 0 into 0 12.697 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 12.697 * [backup-simplify]: Simplify 0 into 0 12.698 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 12.699 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 12.699 * [backup-simplify]: Simplify (- 0) into 0 12.699 * [backup-simplify]: Simplify (+ 0 0) into 0 12.699 * [taylor]: Taking taylor expansion of 0 in b 12.699 * [backup-simplify]: Simplify 0 into 0 12.699 * [backup-simplify]: Simplify 0 into 0 12.699 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify (- 0) into 0 12.700 * [backup-simplify]: Simplify 0 into 0 12.700 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- b)) 1)) (* (- 1.0) (* 1 (/ 1 (- a))))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 12.700 * * * [progress]: simplifying candidates 12.735 * [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))) (/ 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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))) 12.826 * * [simplify]: Extracting # 0 : cost 0 12.827 * * [simplify]: Extracting # 1 : cost 0 12.829 * * [simplify]: Extracting # 2 : cost 0 12.831 * * [simplify]: Extracting # 3 : cost 0 12.833 * * [simplify]: Extracting # 4 : cost 0 12.835 * * [simplify]: Extracting # 5 : cost 0 12.837 * * [simplify]: Extracting # 6 : cost 0 12.839 * * [simplify]: Extracting # 7 : cost 0 12.841 * * [simplify]: Extracting # 8 : cost 0 12.843 * * [simplify]: Extracting # 9 : cost 0 12.845 * * [simplify]: iteration 0 : 955 enodes (cost 33243 ) 13.485 * * [simplify]: Extracting # 0 : cost 0 13.489 * * [simplify]: Extracting # 1 : cost 0 13.493 * * [simplify]: Extracting # 2 : cost 0 13.496 * * [simplify]: Extracting # 3 : cost 0 13.501 * * [simplify]: Extracting # 4 : cost 0 13.505 * * [simplify]: iteration 1 : 2400 enodes (cost 30007 ) 15.118 * * [simplify]: Extracting # 0 : cost 0 15.131 * * [simplify]: Extracting # 1 : cost 0 15.144 * * [simplify]: Extracting # 2 : cost 0 15.165 * * [simplify]: Extracting # 3 : cost 0 15.178 * * [simplify]: Extracting # 4 : cost 0 15.189 * * [simplify]: Extracting # 5 : cost 0 15.201 * * [simplify]: iteration done: 5000 enodes (cost 25138 ) 15.220 * [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)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ b a))) (* (* (- (/ 1.0 a) (/ 1.0 b)) 1.0) (/ (/ PI 2.0) (+ b a))) (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 (- (/ 1.0 a) (/ 1.0 b)) 3) (pow (/ (* (/ PI 2.0) 1.0) (+ b a)) 3)) (* (pow (- (/ 1.0 a) (/ 1.0 b)) 3) (pow (/ (* (/ PI 2.0) 1.0) (+ b a)) 3)) (* (pow (- (/ 1.0 a) (/ 1.0 b)) 3) (pow (/ (* (/ PI 2.0) 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b)))) (+ (/ 1.0 a) (/ (- (/ 1.0 (sqrt b))) (sqrt b))) (* (/ 1.0 (sqrt b)) (+ (/ -1 (sqrt b)) (/ 1 (sqrt b)))) (- (/ 1.0 a) (/ 1.0 b)) (* (/ 1.0 b) (+ -1 1)) (- (/ 1.0 a) (/ 1.0 b)) (* (/ 1.0 b) (+ -1 1)) (- (/ 1.0 a) (/ 1.0 b)) (* (/ 1.0 b) (+ -1 1)) (- (/ 1.0 a) (/ 1.0 b)) (* (/ 1.0 b) (+ -1 1)) (- (/ 1.0 a) (/ 1.0 b)) (* (/ 1.0 b) (+ -1 1)) (+ (/ 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))))) (* (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt b)) (+ (- (/ (cbrt 1.0) (sqrt b))) (/ (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)))))) (* (/ (sqrt 1.0) (* (cbrt b) (cbrt b))) (+ (- (/ (sqrt 1.0) (cbrt b))) (/ (sqrt 1.0) (cbrt b)))) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (sqrt b)) (/ (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 1)) (+ (/ 1.0 a) (/ (- (/ 1.0 (cbrt b))) (* (cbrt b) (cbrt b)))) (* (/ 1 (* (cbrt b) (cbrt b))) (+ (- (/ 1.0 (cbrt b))) (/ 1.0 (cbrt b)))) (+ (/ 1.0 a) (/ (- (/ 1.0 (sqrt b))) (sqrt b))) (* (/ 1.0 (sqrt b)) (+ (/ -1 (sqrt b)) (/ 1 (sqrt b)))) (- (/ 1.0 a) (/ 1.0 b)) (* (/ 1.0 b) (+ -1 1)) (- (/ 1.0 a) (/ 1.0 b)) (* (/ 1.0 b) (+ -1 1)) (- (/ 1.0 a) (/ 1.0 b)) (* (/ 1.0 b) (+ -1 1)) (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)) (* a b) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3)) (fma (/ 1.0 a) (/ 1.0 a) (* (/ 1.0 b) (+ (/ 1.0 a) (/ 1.0 b)))) (/ (- 1.0) b) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b))) (+ (/ 1.0 a) (/ 1.0 b)) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (sqrt (/ 1.0 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)) 15.235 * * * [progress]: adding candidates to table 17.395 * * [progress]: iteration 4 / 4 17.395 * * * [progress]: picking best candidate 17.430 * * * * [pick]: Picked # 17.431 * * * [progress]: localizing error 17.447 * * * [progress]: generating rewritten candidates 17.447 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 17.579 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 17.703 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 17.724 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 17.872 * * * [progress]: generating series expansions 17.872 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 17.875 * [backup-simplify]: Simplify (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b)) into (* 0.5 (/ (* (- b a) PI) (* b (* a (+ a b))))) 17.875 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (* b (* a (+ a b))))) in (b a) around 0 17.875 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (* b (* a (+ a b))))) in a 17.875 * [taylor]: Taking taylor expansion of 0.5 in a 17.875 * [backup-simplify]: Simplify 0.5 into 0.5 17.875 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* b (* a (+ a b)))) in a 17.875 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 17.875 * [taylor]: Taking taylor expansion of (- b a) in a 17.875 * [taylor]: Taking taylor expansion of b in a 17.875 * [backup-simplify]: Simplify b into b 17.875 * [taylor]: Taking taylor expansion of a in a 17.875 * [backup-simplify]: Simplify 0 into 0 17.875 * [backup-simplify]: Simplify 1 into 1 17.875 * [taylor]: Taking taylor expansion of PI in a 17.875 * [backup-simplify]: Simplify PI into PI 17.875 * [taylor]: Taking taylor expansion of (* b (* a (+ a b))) in a 17.875 * [taylor]: Taking taylor expansion of b in a 17.875 * [backup-simplify]: Simplify b into b 17.875 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 17.875 * [taylor]: Taking taylor expansion of a in a 17.875 * [backup-simplify]: Simplify 0 into 0 17.875 * [backup-simplify]: Simplify 1 into 1 17.875 * [taylor]: Taking taylor expansion of (+ a b) in a 17.875 * [taylor]: Taking taylor expansion of a in a 17.875 * [backup-simplify]: Simplify 0 into 0 17.875 * [backup-simplify]: Simplify 1 into 1 17.875 * [taylor]: Taking taylor expansion of b in a 17.875 * [backup-simplify]: Simplify b into b 17.876 * [backup-simplify]: Simplify (- 0) into 0 17.876 * [backup-simplify]: Simplify (+ b 0) into b 17.876 * [backup-simplify]: Simplify (* b PI) into (* PI b) 17.876 * [backup-simplify]: Simplify (+ 0 b) into b 17.876 * [backup-simplify]: Simplify (* 0 b) into 0 17.876 * [backup-simplify]: Simplify (* b 0) into 0 17.877 * [backup-simplify]: Simplify (+ 1 0) into 1 17.877 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 17.878 * [backup-simplify]: Simplify (+ (* b b) (* 0 0)) into (pow b 2) 17.878 * [backup-simplify]: Simplify (/ (* PI b) (pow b 2)) into (/ PI b) 17.878 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (* b (* a (+ a b))))) in b 17.878 * [taylor]: Taking taylor expansion of 0.5 in b 17.878 * [backup-simplify]: Simplify 0.5 into 0.5 17.878 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* b (* a (+ a b)))) in b 17.878 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 17.878 * [taylor]: Taking taylor expansion of (- b a) in b 17.878 * [taylor]: Taking taylor expansion of b in b 17.878 * [backup-simplify]: Simplify 0 into 0 17.878 * [backup-simplify]: Simplify 1 into 1 17.878 * [taylor]: Taking taylor expansion of a in b 17.878 * [backup-simplify]: Simplify a into a 17.878 * [taylor]: Taking taylor expansion of PI in b 17.878 * [backup-simplify]: Simplify PI into PI 17.878 * [taylor]: Taking taylor expansion of (* b (* a (+ a b))) in b 17.878 * [taylor]: Taking taylor expansion of b in b 17.878 * [backup-simplify]: Simplify 0 into 0 17.878 * [backup-simplify]: Simplify 1 into 1 17.878 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 17.879 * [taylor]: Taking taylor expansion of a in b 17.879 * [backup-simplify]: Simplify a into a 17.879 * [taylor]: Taking taylor expansion of (+ a b) in b 17.879 * [taylor]: Taking taylor expansion of a in b 17.879 * [backup-simplify]: Simplify a into a 17.879 * [taylor]: Taking taylor expansion of b in b 17.879 * [backup-simplify]: Simplify 0 into 0 17.879 * [backup-simplify]: Simplify 1 into 1 17.879 * [backup-simplify]: Simplify (- a) into (- a) 17.879 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 17.879 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 17.879 * [backup-simplify]: Simplify (+ a 0) into a 17.879 * [backup-simplify]: Simplify (* a a) into (pow a 2) 17.879 * [backup-simplify]: Simplify (* 0 (pow a 2)) into 0 17.880 * [backup-simplify]: Simplify (+ 0 1) into 1 17.880 * [backup-simplify]: Simplify (+ (* a 1) (* 0 a)) into a 17.880 * [backup-simplify]: Simplify (+ (* 0 a) (* 1 (pow a 2))) into (pow a 2) 17.880 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) (pow a 2)) into (* -1 (/ PI a)) 17.880 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (* b (* a (+ a b))))) in b 17.880 * [taylor]: Taking taylor expansion of 0.5 in b 17.880 * [backup-simplify]: Simplify 0.5 into 0.5 17.880 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (* b (* a (+ a b)))) in b 17.880 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 17.880 * [taylor]: Taking taylor expansion of (- b a) in b 17.880 * [taylor]: Taking taylor expansion of b in b 17.880 * [backup-simplify]: Simplify 0 into 0 17.881 * [backup-simplify]: Simplify 1 into 1 17.881 * [taylor]: Taking taylor expansion of a in b 17.881 * [backup-simplify]: Simplify a into a 17.881 * [taylor]: Taking taylor expansion of PI in b 17.881 * [backup-simplify]: Simplify PI into PI 17.881 * [taylor]: Taking taylor expansion of (* b (* a (+ a b))) in b 17.881 * [taylor]: Taking taylor expansion of b in b 17.881 * [backup-simplify]: Simplify 0 into 0 17.881 * [backup-simplify]: Simplify 1 into 1 17.881 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 17.881 * [taylor]: Taking taylor expansion of a in b 17.881 * [backup-simplify]: Simplify a into a 17.881 * [taylor]: Taking taylor expansion of (+ a b) in b 17.881 * [taylor]: Taking taylor expansion of a in b 17.881 * [backup-simplify]: Simplify a into a 17.881 * [taylor]: Taking taylor expansion of b in b 17.881 * [backup-simplify]: Simplify 0 into 0 17.881 * [backup-simplify]: Simplify 1 into 1 17.881 * [backup-simplify]: Simplify (- a) into (- a) 17.881 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 17.881 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 17.881 * [backup-simplify]: Simplify (+ a 0) into a 17.881 * [backup-simplify]: Simplify (* a a) into (pow a 2) 17.881 * [backup-simplify]: Simplify (* 0 (pow a 2)) into 0 17.882 * [backup-simplify]: Simplify (+ 0 1) into 1 17.882 * [backup-simplify]: Simplify (+ (* a 1) (* 0 a)) into a 17.882 * [backup-simplify]: Simplify (+ (* 0 a) (* 1 (pow a 2))) into (pow a 2) 17.882 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) (pow a 2)) into (* -1 (/ PI a)) 17.883 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI a))) into (* -0.5 (/ PI a)) 17.883 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI a)) in a 17.883 * [taylor]: Taking taylor expansion of -0.5 in a 17.883 * [backup-simplify]: Simplify -0.5 into -0.5 17.883 * [taylor]: Taking taylor expansion of (/ PI a) in a 17.883 * [taylor]: Taking taylor expansion of PI in a 17.883 * [backup-simplify]: Simplify PI into PI 17.883 * [taylor]: Taking taylor expansion of a in a 17.883 * [backup-simplify]: Simplify 0 into 0 17.883 * [backup-simplify]: Simplify 1 into 1 17.883 * [backup-simplify]: Simplify (/ PI 1) into PI 17.884 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 17.885 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 17.885 * [backup-simplify]: Simplify (- 0) into 0 17.885 * [backup-simplify]: Simplify (+ 1 0) into 1 17.886 * [backup-simplify]: Simplify (+ (* (- a) 0) (* 1 PI)) into PI 17.886 * [backup-simplify]: Simplify (+ 0 0) into 0 17.887 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (* 0 a))) into 0 17.888 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 a) (* 0 (pow a 2)))) into a 17.888 * [backup-simplify]: Simplify (- (/ PI (pow a 2)) (+ (* (* -1 (/ PI a)) (/ a (pow a 2))))) into (* 2 (/ PI (pow a 2))) 17.889 * [backup-simplify]: Simplify (+ (* 0.5 (* 2 (/ PI (pow a 2)))) (* 0 (* -1 (/ PI a)))) into (* 1.0 (/ PI (pow a 2))) 17.889 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 17.889 * [taylor]: Taking taylor expansion of 1.0 in a 17.889 * [backup-simplify]: Simplify 1.0 into 1.0 17.889 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 17.889 * [taylor]: Taking taylor expansion of PI in a 17.889 * [backup-simplify]: Simplify PI into PI 17.889 * [taylor]: Taking taylor expansion of (pow a 2) in a 17.889 * [taylor]: Taking taylor expansion of a in a 17.889 * [backup-simplify]: Simplify 0 into 0 17.889 * [backup-simplify]: Simplify 1 into 1 17.889 * [backup-simplify]: Simplify (* 1 1) into 1 17.890 * [backup-simplify]: Simplify (/ PI 1) into PI 17.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.892 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 17.892 * [backup-simplify]: Simplify 0 into 0 17.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.894 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 17.894 * [backup-simplify]: Simplify 0 into 0 17.894 * [backup-simplify]: Simplify (- 0) into 0 17.895 * [backup-simplify]: Simplify (+ 0 0) into 0 17.896 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (* 0 PI))) into 0 17.896 * [backup-simplify]: Simplify (+ 0 0) into 0 17.897 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 a)))) into 0 17.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 a) (* 0 (pow a 2))))) into 0 17.898 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (* -1 (/ PI a)) (/ 0 (pow a 2))) (* (* 2 (/ PI (pow a 2))) (/ a (pow a 2))))) into (- (* 2 (/ PI (pow a 3)))) 17.899 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ PI (pow a 3))))) (+ (* 0 (* 2 (/ PI (pow a 2)))) (* 0 (* -1 (/ PI a))))) into (- (* 1.0 (/ PI (pow a 3)))) 17.899 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 17.899 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 17.899 * [taylor]: Taking taylor expansion of 1.0 in a 17.899 * [backup-simplify]: Simplify 1.0 into 1.0 17.899 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 17.899 * [taylor]: Taking taylor expansion of PI in a 17.899 * [backup-simplify]: Simplify PI into PI 17.899 * [taylor]: Taking taylor expansion of (pow a 3) in a 17.899 * [taylor]: Taking taylor expansion of a in a 17.899 * [backup-simplify]: Simplify 0 into 0 17.899 * [backup-simplify]: Simplify 1 into 1 17.900 * [backup-simplify]: Simplify (* 1 1) into 1 17.900 * [backup-simplify]: Simplify (* 1 1) into 1 17.901 * [backup-simplify]: Simplify (/ PI 1) into PI 17.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.907 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.907 * [backup-simplify]: Simplify (- 0) into 0 17.907 * [backup-simplify]: Simplify 0 into 0 17.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.910 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.910 * [backup-simplify]: Simplify 0 into 0 17.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.913 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 17.913 * [backup-simplify]: Simplify 0 into 0 17.913 * [backup-simplify]: Simplify (- 0) into 0 17.913 * [backup-simplify]: Simplify (+ 0 0) into 0 17.915 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.915 * [backup-simplify]: Simplify (+ 0 0) into 0 17.916 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 a))))) into 0 17.918 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 a) (* 0 (pow a 2)))))) into 0 17.919 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (* -1 (/ PI a)) (/ 0 (pow a 2))) (* (* 2 (/ PI (pow a 2))) (/ 0 (pow a 2))) (* (- (* 2 (/ PI (pow a 3)))) (/ a (pow a 2))))) into (* 2 (/ PI (pow a 4))) 17.920 * [backup-simplify]: Simplify (+ (* 0.5 (* 2 (/ PI (pow a 4)))) (+ (* 0 (- (* 2 (/ PI (pow a 3))))) (+ (* 0 (* 2 (/ PI (pow a 2)))) (* 0 (* -1 (/ PI a)))))) into (* 1.0 (/ PI (pow a 4))) 17.920 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 4))) in a 17.920 * [taylor]: Taking taylor expansion of 1.0 in a 17.920 * [backup-simplify]: Simplify 1.0 into 1.0 17.920 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 17.920 * [taylor]: Taking taylor expansion of PI in a 17.920 * [backup-simplify]: Simplify PI into PI 17.920 * [taylor]: Taking taylor expansion of (pow a 4) in a 17.920 * [taylor]: Taking taylor expansion of a in a 17.920 * [backup-simplify]: Simplify 0 into 0 17.920 * [backup-simplify]: Simplify 1 into 1 17.920 * [backup-simplify]: Simplify (* 1 1) into 1 17.921 * [backup-simplify]: Simplify (* 1 1) into 1 17.921 * [backup-simplify]: Simplify (/ PI 1) into PI 17.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.930 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 17.930 * [backup-simplify]: Simplify 0 into 0 17.931 * [backup-simplify]: Simplify (* (* -0.5 PI) (* (/ 1 a) (/ 1 b))) into (* -0.5 (/ PI (* a b))) 17.933 * [backup-simplify]: Simplify (/ (* (/ (* (/ PI 2.0) 1.0) (+ (/ 1 b) (/ 1 a))) (* 1.0 (- (/ 1 b) (/ 1 a)))) (* (/ 1 a) (/ 1 b))) into (* 0.5 (/ (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) (+ (/ 1 a) (/ 1 b)))) 17.933 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 17.933 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) (+ (/ 1 a) (/ 1 b)))) in a 17.933 * [taylor]: Taking taylor expansion of 0.5 in a 17.933 * [backup-simplify]: Simplify 0.5 into 0.5 17.933 * [taylor]: Taking taylor expansion of (/ (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) (+ (/ 1 a) (/ 1 b))) in a 17.933 * [taylor]: Taking taylor expansion of (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) in a 17.933 * [taylor]: Taking taylor expansion of b in a 17.933 * [backup-simplify]: Simplify b into b 17.933 * [taylor]: Taking taylor expansion of (* a (* (- (/ 1 b) (/ 1 a)) PI)) in a 17.933 * [taylor]: Taking taylor expansion of a in a 17.933 * [backup-simplify]: Simplify 0 into 0 17.933 * [backup-simplify]: Simplify 1 into 1 17.933 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in a 17.933 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 17.933 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.933 * [taylor]: Taking taylor expansion of b in a 17.933 * [backup-simplify]: Simplify b into b 17.933 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.934 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.934 * [taylor]: Taking taylor expansion of a in a 17.934 * [backup-simplify]: Simplify 0 into 0 17.934 * [backup-simplify]: Simplify 1 into 1 17.934 * [backup-simplify]: Simplify (/ 1 1) into 1 17.934 * [taylor]: Taking taylor expansion of PI in a 17.934 * [backup-simplify]: Simplify PI into PI 17.934 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 17.934 * [taylor]: Taking taylor expansion of (/ 1 a) in a 17.934 * [taylor]: Taking taylor expansion of a in a 17.934 * [backup-simplify]: Simplify 0 into 0 17.934 * [backup-simplify]: Simplify 1 into 1 17.935 * [backup-simplify]: Simplify (/ 1 1) into 1 17.935 * [taylor]: Taking taylor expansion of (/ 1 b) in a 17.935 * [taylor]: Taking taylor expansion of b in a 17.935 * [backup-simplify]: Simplify b into b 17.935 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 17.935 * [backup-simplify]: Simplify (- 1) into -1 17.935 * [backup-simplify]: Simplify (+ 0 -1) into -1 17.936 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 17.937 * [backup-simplify]: Simplify (* 0 (* -1 PI)) into 0 17.937 * [backup-simplify]: Simplify (* b 0) into 0 17.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.938 * [backup-simplify]: Simplify (- 0) into 0 17.938 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 17.938 * [backup-simplify]: Simplify (+ (* -1 0) (* (/ 1 b) PI)) into (/ PI b) 17.939 * [backup-simplify]: Simplify (+ (* 0 (/ PI b)) (* 1 (* -1 PI))) into (- PI) 17.940 * [backup-simplify]: Simplify (+ (* b (- PI)) (* 0 0)) into (- (* PI b)) 17.941 * [backup-simplify]: Simplify (+ 1 0) into 1 17.941 * [backup-simplify]: Simplify (/ (- (* PI b)) 1) into (* -1 (* b PI)) 17.941 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) (+ (/ 1 a) (/ 1 b)))) in b 17.941 * [taylor]: Taking taylor expansion of 0.5 in b 17.941 * [backup-simplify]: Simplify 0.5 into 0.5 17.941 * [taylor]: Taking taylor expansion of (/ (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) (+ (/ 1 a) (/ 1 b))) in b 17.941 * [taylor]: Taking taylor expansion of (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) in b 17.941 * [taylor]: Taking taylor expansion of b in b 17.941 * [backup-simplify]: Simplify 0 into 0 17.941 * [backup-simplify]: Simplify 1 into 1 17.941 * [taylor]: Taking taylor expansion of (* a (* (- (/ 1 b) (/ 1 a)) PI)) in b 17.941 * [taylor]: Taking taylor expansion of a in b 17.941 * [backup-simplify]: Simplify a into a 17.941 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in b 17.941 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 17.941 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.941 * [taylor]: Taking taylor expansion of b in b 17.941 * [backup-simplify]: Simplify 0 into 0 17.941 * [backup-simplify]: Simplify 1 into 1 17.942 * [backup-simplify]: Simplify (/ 1 1) into 1 17.942 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.942 * [taylor]: Taking taylor expansion of a in b 17.942 * [backup-simplify]: Simplify a into a 17.942 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.942 * [taylor]: Taking taylor expansion of PI in b 17.942 * [backup-simplify]: Simplify PI into PI 17.942 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 17.942 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.942 * [taylor]: Taking taylor expansion of a in b 17.942 * [backup-simplify]: Simplify a into a 17.942 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.942 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.942 * [taylor]: Taking taylor expansion of b in b 17.942 * [backup-simplify]: Simplify 0 into 0 17.942 * [backup-simplify]: Simplify 1 into 1 17.942 * [backup-simplify]: Simplify (/ 1 1) into 1 17.943 * [backup-simplify]: Simplify (+ 1 0) into 1 17.943 * [backup-simplify]: Simplify (* 1 PI) into PI 17.943 * [backup-simplify]: Simplify (* a PI) into (* a PI) 17.943 * [backup-simplify]: Simplify (* 0 (* a PI)) into 0 17.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.944 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 17.944 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 17.945 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 a)) PI)) into (- (/ PI a)) 17.945 * [backup-simplify]: Simplify (+ (* a (- (/ PI a))) (* 0 PI)) into (- PI) 17.946 * [backup-simplify]: Simplify (+ (* 0 (- PI)) (* 1 (* a PI))) into (* a PI) 17.947 * [backup-simplify]: Simplify (+ 0 1) into 1 17.947 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 17.947 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) (+ (/ 1 a) (/ 1 b)))) in b 17.947 * [taylor]: Taking taylor expansion of 0.5 in b 17.947 * [backup-simplify]: Simplify 0.5 into 0.5 17.947 * [taylor]: Taking taylor expansion of (/ (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) (+ (/ 1 a) (/ 1 b))) in b 17.947 * [taylor]: Taking taylor expansion of (* b (* a (* (- (/ 1 b) (/ 1 a)) PI))) in b 17.947 * [taylor]: Taking taylor expansion of b in b 17.947 * [backup-simplify]: Simplify 0 into 0 17.947 * [backup-simplify]: Simplify 1 into 1 17.947 * [taylor]: Taking taylor expansion of (* a (* (- (/ 1 b) (/ 1 a)) PI)) in b 17.947 * [taylor]: Taking taylor expansion of a in b 17.947 * [backup-simplify]: Simplify a into a 17.947 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in b 17.947 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 17.947 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.947 * [taylor]: Taking taylor expansion of b in b 17.947 * [backup-simplify]: Simplify 0 into 0 17.947 * [backup-simplify]: Simplify 1 into 1 17.947 * [backup-simplify]: Simplify (/ 1 1) into 1 17.948 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.948 * [taylor]: Taking taylor expansion of a in b 17.948 * [backup-simplify]: Simplify a into a 17.948 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.948 * [taylor]: Taking taylor expansion of PI in b 17.948 * [backup-simplify]: Simplify PI into PI 17.948 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 17.948 * [taylor]: Taking taylor expansion of (/ 1 a) in b 17.948 * [taylor]: Taking taylor expansion of a in b 17.948 * [backup-simplify]: Simplify a into a 17.948 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 17.948 * [taylor]: Taking taylor expansion of (/ 1 b) in b 17.948 * [taylor]: Taking taylor expansion of b in b 17.948 * [backup-simplify]: Simplify 0 into 0 17.948 * [backup-simplify]: Simplify 1 into 1 17.948 * [backup-simplify]: Simplify (/ 1 1) into 1 17.949 * [backup-simplify]: Simplify (+ 1 0) into 1 17.949 * [backup-simplify]: Simplify (* 1 PI) into PI 17.949 * [backup-simplify]: Simplify (* a PI) into (* a PI) 17.949 * [backup-simplify]: Simplify (* 0 (* a PI)) into 0 17.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.950 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 17.950 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 17.951 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 a)) PI)) into (- (/ PI a)) 17.951 * [backup-simplify]: Simplify (+ (* a (- (/ PI a))) (* 0 PI)) into (- PI) 17.952 * [backup-simplify]: Simplify (+ (* 0 (- PI)) (* 1 (* a PI))) into (* a PI) 17.952 * [backup-simplify]: Simplify (+ 0 1) into 1 17.952 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 17.953 * [backup-simplify]: Simplify (* 0.5 (* a PI)) into (* 0.5 (* a PI)) 17.953 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 17.953 * [taylor]: Taking taylor expansion of 0.5 in a 17.953 * [backup-simplify]: Simplify 0.5 into 0.5 17.953 * [taylor]: Taking taylor expansion of (* a PI) in a 17.953 * [taylor]: Taking taylor expansion of a in a 17.953 * [backup-simplify]: Simplify 0 into 0 17.953 * [backup-simplify]: Simplify 1 into 1 17.953 * [taylor]: Taking taylor expansion of PI in a 17.953 * [backup-simplify]: Simplify PI into PI 17.955 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 17.955 * [backup-simplify]: Simplify (* 0 PI) into 0 17.958 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 17.958 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 17.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 17.959 * [backup-simplify]: Simplify (- 0) into 0 17.960 * [backup-simplify]: Simplify (+ 0 0) into 0 17.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (* 0 PI))) into 0 17.962 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (- (/ PI a))) (* 0 PI))) into 0 17.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- PI)) (* 0 (* a PI)))) into (- PI) 17.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 17.964 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 17.965 * [backup-simplify]: Simplify (- (/ (- PI) 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- (* 2 PI)) 17.967 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 PI))) (* 0 (* a PI))) into (- (* 1.0 PI)) 17.967 * [taylor]: Taking taylor expansion of (- (* 1.0 PI)) in a 17.967 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 17.967 * [taylor]: Taking taylor expansion of 1.0 in a 17.967 * [backup-simplify]: Simplify 1.0 into 1.0 17.967 * [taylor]: Taking taylor expansion of PI in a 17.967 * [backup-simplify]: Simplify PI into PI 17.968 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 17.969 * [backup-simplify]: Simplify (- 0) into 0 17.969 * [backup-simplify]: Simplify 0 into 0 17.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 17.971 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 17.971 * [backup-simplify]: Simplify 0 into 0 17.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 17.972 * [backup-simplify]: Simplify (- 0) into 0 17.973 * [backup-simplify]: Simplify (+ 0 0) into 0 17.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 17.975 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 (- (/ PI a))) (* 0 PI)))) into 0 17.976 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (- PI)) (* 0 (* a PI))))) into 0 17.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 17.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.977 * [backup-simplify]: Simplify (+ 0 0) into 0 17.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- (* 2 PI)) (/ (/ 1 a) 1)))) into (* 2 (/ PI a)) 17.979 * [backup-simplify]: Simplify (+ (* 0.5 (* 2 (/ PI a))) (+ (* 0 (- (* 2 PI))) (* 0 (* a PI)))) into (* 1.0 (/ PI a)) 17.979 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 17.979 * [taylor]: Taking taylor expansion of 1.0 in a 17.979 * [backup-simplify]: Simplify 1.0 into 1.0 17.979 * [taylor]: Taking taylor expansion of (/ PI a) in a 17.979 * [taylor]: Taking taylor expansion of PI in a 17.979 * [backup-simplify]: Simplify PI into PI 17.979 * [taylor]: Taking taylor expansion of a in a 17.979 * [backup-simplify]: Simplify 0 into 0 17.979 * [backup-simplify]: Simplify 1 into 1 17.979 * [backup-simplify]: Simplify (/ PI 1) into PI 17.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.981 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.981 * [backup-simplify]: Simplify 0 into 0 17.982 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 17.987 * [backup-simplify]: Simplify (- 0) into 0 17.987 * [backup-simplify]: Simplify 0 into 0 17.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 17.989 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 17.989 * [backup-simplify]: Simplify 0 into 0 17.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 17.990 * [backup-simplify]: Simplify (- 0) into 0 17.990 * [backup-simplify]: Simplify (+ 0 0) into 0 17.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 17.992 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ PI a))) (* 0 PI))))) into 0 17.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (- PI)) (* 0 (* a PI)))))) into 0 17.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 17.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 17.994 * [backup-simplify]: Simplify (+ 0 0) into 0 17.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- (* 2 PI)) (/ 0 1)) (* (* 2 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 2)))) 17.996 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (+ (* 0 (- (* 2 PI))) (* 0 (* a PI))))) into (- (* 1.0 (/ PI (pow a 2)))) 17.996 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 17.996 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 17.996 * [taylor]: Taking taylor expansion of 1.0 in a 17.996 * [backup-simplify]: Simplify 1.0 into 1.0 17.996 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 17.996 * [taylor]: Taking taylor expansion of PI in a 17.996 * [backup-simplify]: Simplify PI into PI 17.996 * [taylor]: Taking taylor expansion of (pow a 2) in a 17.996 * [taylor]: Taking taylor expansion of a in a 17.996 * [backup-simplify]: Simplify 0 into 0 17.996 * [backup-simplify]: Simplify 1 into 1 17.996 * [backup-simplify]: Simplify (* 1 1) into 1 17.997 * [backup-simplify]: Simplify (/ PI 1) into PI 17.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 17.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 17.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 17.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 17.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.001 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.002 * [backup-simplify]: Simplify (- 0) into 0 18.002 * [backup-simplify]: Simplify 0 into 0 18.002 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (* a b))) 18.004 * [backup-simplify]: Simplify (/ (* (/ (* (/ PI 2.0) 1.0) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) (* (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) 18.004 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.004 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in a 18.004 * [taylor]: Taking taylor expansion of -0.5 in a 18.004 * [backup-simplify]: Simplify -0.5 into -0.5 18.004 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))) in a 18.004 * [taylor]: Taking taylor expansion of (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) in a 18.004 * [taylor]: Taking taylor expansion of a in a 18.004 * [backup-simplify]: Simplify 0 into 0 18.004 * [backup-simplify]: Simplify 1 into 1 18.004 * [taylor]: Taking taylor expansion of (* PI (* b (- (/ 1 a) (/ 1 b)))) in a 18.004 * [taylor]: Taking taylor expansion of PI in a 18.004 * [backup-simplify]: Simplify PI into PI 18.004 * [taylor]: Taking taylor expansion of (* b (- (/ 1 a) (/ 1 b))) in a 18.004 * [taylor]: Taking taylor expansion of b in a 18.004 * [backup-simplify]: Simplify b into b 18.004 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 18.004 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.004 * [taylor]: Taking taylor expansion of a in a 18.004 * [backup-simplify]: Simplify 0 into 0 18.004 * [backup-simplify]: Simplify 1 into 1 18.005 * [backup-simplify]: Simplify (/ 1 1) into 1 18.005 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.005 * [taylor]: Taking taylor expansion of b in a 18.005 * [backup-simplify]: Simplify b into b 18.005 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.005 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.005 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.005 * [taylor]: Taking taylor expansion of a in a 18.005 * [backup-simplify]: Simplify 0 into 0 18.005 * [backup-simplify]: Simplify 1 into 1 18.005 * [backup-simplify]: Simplify (/ 1 1) into 1 18.005 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.005 * [taylor]: Taking taylor expansion of b in a 18.006 * [backup-simplify]: Simplify b into b 18.006 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.006 * [backup-simplify]: Simplify (+ 1 0) into 1 18.006 * [backup-simplify]: Simplify (* b 1) into b 18.006 * [backup-simplify]: Simplify (* PI b) into (* b PI) 18.006 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 18.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.007 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 18.007 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 18.008 * [backup-simplify]: Simplify (+ (* b (- (/ 1 b))) (* 0 1)) into (- 1) 18.009 * [backup-simplify]: Simplify (+ (* PI (- 1)) (* 0 b)) into (- PI) 18.009 * [backup-simplify]: Simplify (+ (* 0 (- PI)) (* 1 (* b PI))) into (* PI b) 18.010 * [backup-simplify]: Simplify (+ 1 0) into 1 18.010 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 18.010 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in b 18.010 * [taylor]: Taking taylor expansion of -0.5 in b 18.010 * [backup-simplify]: Simplify -0.5 into -0.5 18.010 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))) in b 18.010 * [taylor]: Taking taylor expansion of (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) in b 18.010 * [taylor]: Taking taylor expansion of a in b 18.010 * [backup-simplify]: Simplify a into a 18.010 * [taylor]: Taking taylor expansion of (* PI (* b (- (/ 1 a) (/ 1 b)))) in b 18.010 * [taylor]: Taking taylor expansion of PI in b 18.010 * [backup-simplify]: Simplify PI into PI 18.010 * [taylor]: Taking taylor expansion of (* b (- (/ 1 a) (/ 1 b))) in b 18.010 * [taylor]: Taking taylor expansion of b in b 18.010 * [backup-simplify]: Simplify 0 into 0 18.010 * [backup-simplify]: Simplify 1 into 1 18.010 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 18.010 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.010 * [taylor]: Taking taylor expansion of a in b 18.010 * [backup-simplify]: Simplify a into a 18.010 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.010 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.010 * [taylor]: Taking taylor expansion of b in b 18.010 * [backup-simplify]: Simplify 0 into 0 18.010 * [backup-simplify]: Simplify 1 into 1 18.011 * [backup-simplify]: Simplify (/ 1 1) into 1 18.011 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.011 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.011 * [taylor]: Taking taylor expansion of a in b 18.011 * [backup-simplify]: Simplify a into a 18.011 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.011 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.011 * [taylor]: Taking taylor expansion of b in b 18.011 * [backup-simplify]: Simplify 0 into 0 18.011 * [backup-simplify]: Simplify 1 into 1 18.011 * [backup-simplify]: Simplify (/ 1 1) into 1 18.012 * [backup-simplify]: Simplify (- 1) into -1 18.012 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.012 * [backup-simplify]: Simplify (* 0 -1) into 0 18.013 * [backup-simplify]: Simplify (* PI 0) into 0 18.013 * [backup-simplify]: Simplify (* a 0) into 0 18.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.014 * [backup-simplify]: Simplify (- 0) into 0 18.014 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.015 * [backup-simplify]: Simplify (+ (* 0 (/ 1 a)) (* 1 -1)) into (- 1) 18.017 * [backup-simplify]: Simplify (+ (* PI (- 1)) (* 0 0)) into (- PI) 18.017 * [backup-simplify]: Simplify (+ (* a (- PI)) (* 0 0)) into (- (* a PI)) 18.018 * [backup-simplify]: Simplify (+ 0 1) into 1 18.018 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 18.018 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b)))) in b 18.018 * [taylor]: Taking taylor expansion of -0.5 in b 18.018 * [backup-simplify]: Simplify -0.5 into -0.5 18.018 * [taylor]: Taking taylor expansion of (/ (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) (+ (/ 1 a) (/ 1 b))) in b 18.018 * [taylor]: Taking taylor expansion of (* a (* PI (* b (- (/ 1 a) (/ 1 b))))) in b 18.018 * [taylor]: Taking taylor expansion of a in b 18.018 * [backup-simplify]: Simplify a into a 18.018 * [taylor]: Taking taylor expansion of (* PI (* b (- (/ 1 a) (/ 1 b)))) in b 18.018 * [taylor]: Taking taylor expansion of PI in b 18.018 * [backup-simplify]: Simplify PI into PI 18.018 * [taylor]: Taking taylor expansion of (* b (- (/ 1 a) (/ 1 b))) in b 18.018 * [taylor]: Taking taylor expansion of b in b 18.018 * [backup-simplify]: Simplify 0 into 0 18.018 * [backup-simplify]: Simplify 1 into 1 18.018 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 18.018 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.018 * [taylor]: Taking taylor expansion of a in b 18.018 * [backup-simplify]: Simplify a into a 18.018 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.018 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.019 * [taylor]: Taking taylor expansion of b in b 18.019 * [backup-simplify]: Simplify 0 into 0 18.019 * [backup-simplify]: Simplify 1 into 1 18.019 * [backup-simplify]: Simplify (/ 1 1) into 1 18.019 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.019 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.019 * [taylor]: Taking taylor expansion of a in b 18.019 * [backup-simplify]: Simplify a into a 18.019 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.019 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.019 * [taylor]: Taking taylor expansion of b in b 18.019 * [backup-simplify]: Simplify 0 into 0 18.019 * [backup-simplify]: Simplify 1 into 1 18.020 * [backup-simplify]: Simplify (/ 1 1) into 1 18.020 * [backup-simplify]: Simplify (- 1) into -1 18.020 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.021 * [backup-simplify]: Simplify (* 0 -1) into 0 18.021 * [backup-simplify]: Simplify (* PI 0) into 0 18.021 * [backup-simplify]: Simplify (* a 0) into 0 18.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.022 * [backup-simplify]: Simplify (- 0) into 0 18.023 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.023 * [backup-simplify]: Simplify (+ (* 0 (/ 1 a)) (* 1 -1)) into (- 1) 18.025 * [backup-simplify]: Simplify (+ (* PI (- 1)) (* 0 0)) into (- PI) 18.026 * [backup-simplify]: Simplify (+ (* a (- PI)) (* 0 0)) into (- (* a PI)) 18.027 * [backup-simplify]: Simplify (+ 0 1) into 1 18.027 * [backup-simplify]: Simplify (/ (- (* a PI)) 1) into (* -1 (* a PI)) 18.027 * [backup-simplify]: Simplify (* -0.5 (* -1 (* a PI))) into (* 0.5 (* a PI)) 18.027 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 18.027 * [taylor]: Taking taylor expansion of 0.5 in a 18.027 * [backup-simplify]: Simplify 0.5 into 0.5 18.027 * [taylor]: Taking taylor expansion of (* a PI) in a 18.027 * [taylor]: Taking taylor expansion of a in a 18.027 * [backup-simplify]: Simplify 0 into 0 18.027 * [backup-simplify]: Simplify 1 into 1 18.027 * [taylor]: Taking taylor expansion of PI in a 18.027 * [backup-simplify]: Simplify PI into PI 18.029 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.029 * [backup-simplify]: Simplify (* 0 PI) into 0 18.030 * [backup-simplify]: Simplify (+ (* 0.5 PI) (* 0 0)) into (* 0.5 PI) 18.031 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 18.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.033 * [backup-simplify]: Simplify (- 0) into 0 18.033 * [backup-simplify]: Simplify (+ 0 0) into 0 18.034 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 a)) (* 0 -1))) into (/ 1 a) 18.035 * [backup-simplify]: Simplify (+ (* PI (/ 1 a)) (+ (* 0 (- 1)) (* 0 0))) into (/ PI a) 18.036 * [backup-simplify]: Simplify (+ (* a (/ PI a)) (+ (* 0 (- PI)) (* 0 0))) into PI 18.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.037 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.037 * [backup-simplify]: Simplify (- (/ PI 1) (+ (* (* -1 (* a PI)) (/ (/ 1 a) 1)))) into (* 2 PI) 18.038 * [backup-simplify]: Simplify (+ (* -0.5 (* 2 PI)) (* 0 (* -1 (* a PI)))) into (- (* 1.0 PI)) 18.038 * [taylor]: Taking taylor expansion of (- (* 1.0 PI)) in a 18.038 * [taylor]: Taking taylor expansion of (* 1.0 PI) in a 18.039 * [taylor]: Taking taylor expansion of 1.0 in a 18.039 * [backup-simplify]: Simplify 1.0 into 1.0 18.039 * [taylor]: Taking taylor expansion of PI in a 18.039 * [backup-simplify]: Simplify PI into PI 18.039 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 18.040 * [backup-simplify]: Simplify (- 0) into 0 18.040 * [backup-simplify]: Simplify 0 into 0 18.041 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.042 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 18.042 * [backup-simplify]: Simplify 0 into 0 18.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.044 * [backup-simplify]: Simplify (- 0) into 0 18.044 * [backup-simplify]: Simplify (+ 0 0) into 0 18.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 a)) (* 0 -1)))) into 0 18.047 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (/ 1 a)) (+ (* 0 (- 1)) (* 0 0)))) into 0 18.048 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 (/ PI a)) (+ (* 0 (- PI)) (* 0 0)))) into 0 18.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.049 * [backup-simplify]: Simplify (+ 0 0) into 0 18.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* a PI)) (/ 0 1)) (* (* 2 PI) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI a))) 18.052 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2 (/ PI a)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* a PI))))) into (* 1.0 (/ PI a)) 18.052 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 18.052 * [taylor]: Taking taylor expansion of 1.0 in a 18.052 * [backup-simplify]: Simplify 1.0 into 1.0 18.052 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.052 * [taylor]: Taking taylor expansion of PI in a 18.052 * [backup-simplify]: Simplify PI into PI 18.052 * [taylor]: Taking taylor expansion of a in a 18.052 * [backup-simplify]: Simplify 0 into 0 18.052 * [backup-simplify]: Simplify 1 into 1 18.053 * [backup-simplify]: Simplify (/ PI 1) into PI 18.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.056 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.056 * [backup-simplify]: Simplify 0 into 0 18.057 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.057 * [backup-simplify]: Simplify (- 0) into 0 18.057 * [backup-simplify]: Simplify 0 into 0 18.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.060 * [backup-simplify]: Simplify 0 into 0 18.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.061 * [backup-simplify]: Simplify (- 0) into 0 18.062 * [backup-simplify]: Simplify (+ 0 0) into 0 18.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 -1))))) into 0 18.065 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (+ (* 0 (- 1)) (* 0 0))))) into 0 18.066 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 (/ PI a)) (+ (* 0 (- PI)) (* 0 0))))) into 0 18.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.068 * [backup-simplify]: Simplify (+ 0 0) into 0 18.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 (* a PI)) (/ 0 1)) (* (* 2 PI) (/ 0 1)) (* (- (* 2 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 2))) 18.071 * [backup-simplify]: Simplify (+ (* -0.5 (* 2 (/ PI (pow a 2)))) (+ (* 0 (- (* 2 (/ PI a)))) (+ (* 0 (* 2 PI)) (* 0 (* -1 (* a PI)))))) into (- (* 1.0 (/ PI (pow a 2)))) 18.071 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 18.071 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 18.071 * [taylor]: Taking taylor expansion of 1.0 in a 18.071 * [backup-simplify]: Simplify 1.0 into 1.0 18.071 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.071 * [taylor]: Taking taylor expansion of PI in a 18.071 * [backup-simplify]: Simplify PI into PI 18.071 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.071 * [taylor]: Taking taylor expansion of a in a 18.072 * [backup-simplify]: Simplify 0 into 0 18.072 * [backup-simplify]: Simplify 1 into 1 18.072 * [backup-simplify]: Simplify (* 1 1) into 1 18.072 * [backup-simplify]: Simplify (/ PI 1) into PI 18.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.080 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.080 * [backup-simplify]: Simplify (- 0) into 0 18.080 * [backup-simplify]: Simplify 0 into 0 18.081 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 (- a)) (/ 1 (- b)))) into (* 0.5 (/ PI (* a b))) 18.081 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 18.082 * [backup-simplify]: Simplify (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) into (* 0.5 (/ (* (- b a) PI) (+ a b))) 18.082 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (+ a b))) in (b a) around 0 18.082 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (+ a b))) in a 18.082 * [taylor]: Taking taylor expansion of 0.5 in a 18.082 * [backup-simplify]: Simplify 0.5 into 0.5 18.082 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in a 18.082 * [taylor]: Taking taylor expansion of (* (- b a) PI) in a 18.082 * [taylor]: Taking taylor expansion of (- b a) in a 18.082 * [taylor]: Taking taylor expansion of b in a 18.082 * [backup-simplify]: Simplify b into b 18.082 * [taylor]: Taking taylor expansion of a in a 18.083 * [backup-simplify]: Simplify 0 into 0 18.083 * [backup-simplify]: Simplify 1 into 1 18.083 * [taylor]: Taking taylor expansion of PI in a 18.083 * [backup-simplify]: Simplify PI into PI 18.083 * [taylor]: Taking taylor expansion of (+ a b) in a 18.083 * [taylor]: Taking taylor expansion of a in a 18.083 * [backup-simplify]: Simplify 0 into 0 18.083 * [backup-simplify]: Simplify 1 into 1 18.083 * [taylor]: Taking taylor expansion of b in a 18.083 * [backup-simplify]: Simplify b into b 18.083 * [backup-simplify]: Simplify (- 0) into 0 18.083 * [backup-simplify]: Simplify (+ b 0) into b 18.083 * [backup-simplify]: Simplify (* b PI) into (* PI b) 18.083 * [backup-simplify]: Simplify (+ 0 b) into b 18.083 * [backup-simplify]: Simplify (/ (* PI b) b) into PI 18.083 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (+ a b))) in b 18.083 * [taylor]: Taking taylor expansion of 0.5 in b 18.084 * [backup-simplify]: Simplify 0.5 into 0.5 18.084 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in b 18.084 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 18.084 * [taylor]: Taking taylor expansion of (- b a) in b 18.084 * [taylor]: Taking taylor expansion of b in b 18.084 * [backup-simplify]: Simplify 0 into 0 18.084 * [backup-simplify]: Simplify 1 into 1 18.084 * [taylor]: Taking taylor expansion of a in b 18.084 * [backup-simplify]: Simplify a into a 18.084 * [taylor]: Taking taylor expansion of PI in b 18.084 * [backup-simplify]: Simplify PI into PI 18.084 * [taylor]: Taking taylor expansion of (+ a b) in b 18.084 * [taylor]: Taking taylor expansion of a in b 18.084 * [backup-simplify]: Simplify a into a 18.084 * [taylor]: Taking taylor expansion of b in b 18.084 * [backup-simplify]: Simplify 0 into 0 18.084 * [backup-simplify]: Simplify 1 into 1 18.084 * [backup-simplify]: Simplify (- a) into (- a) 18.084 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 18.084 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 18.084 * [backup-simplify]: Simplify (+ a 0) into a 18.084 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) a) into (* -1 PI) 18.084 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- b a) PI) (+ a b))) in b 18.084 * [taylor]: Taking taylor expansion of 0.5 in b 18.084 * [backup-simplify]: Simplify 0.5 into 0.5 18.084 * [taylor]: Taking taylor expansion of (/ (* (- b a) PI) (+ a b)) in b 18.084 * [taylor]: Taking taylor expansion of (* (- b a) PI) in b 18.085 * [taylor]: Taking taylor expansion of (- b a) in b 18.085 * [taylor]: Taking taylor expansion of b in b 18.085 * [backup-simplify]: Simplify 0 into 0 18.085 * [backup-simplify]: Simplify 1 into 1 18.085 * [taylor]: Taking taylor expansion of a in b 18.085 * [backup-simplify]: Simplify a into a 18.085 * [taylor]: Taking taylor expansion of PI in b 18.085 * [backup-simplify]: Simplify PI into PI 18.085 * [taylor]: Taking taylor expansion of (+ a b) in b 18.085 * [taylor]: Taking taylor expansion of a in b 18.085 * [backup-simplify]: Simplify a into a 18.085 * [taylor]: Taking taylor expansion of b in b 18.085 * [backup-simplify]: Simplify 0 into 0 18.085 * [backup-simplify]: Simplify 1 into 1 18.085 * [backup-simplify]: Simplify (- a) into (- a) 18.085 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 18.085 * [backup-simplify]: Simplify (* (- a) PI) into (* -1 (* a PI)) 18.085 * [backup-simplify]: Simplify (+ a 0) into a 18.085 * [backup-simplify]: Simplify (/ (* -1 (* a PI)) a) into (* -1 PI) 18.087 * [backup-simplify]: Simplify (* 0.5 (* -1 PI)) into (* -0.5 PI) 18.087 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 18.087 * [taylor]: Taking taylor expansion of -0.5 in a 18.087 * [backup-simplify]: Simplify -0.5 into -0.5 18.087 * [taylor]: Taking taylor expansion of PI in a 18.087 * [backup-simplify]: Simplify PI into PI 18.087 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 18.088 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 18.088 * [backup-simplify]: Simplify (- 0) into 0 18.089 * [backup-simplify]: Simplify (+ 1 0) into 1 18.089 * [backup-simplify]: Simplify (+ (* (- a) 0) (* 1 PI)) into PI 18.090 * [backup-simplify]: Simplify (+ 0 1) into 1 18.090 * [backup-simplify]: Simplify (- (/ PI a) (+ (* (* -1 PI) (/ 1 a)))) into (* 2 (/ PI a)) 18.091 * [backup-simplify]: Simplify (+ (* 0.5 (* 2 (/ PI a))) (* 0 (* -1 PI))) into (* 1.0 (/ PI a)) 18.091 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 18.091 * [taylor]: Taking taylor expansion of 1.0 in a 18.091 * [backup-simplify]: Simplify 1.0 into 1.0 18.091 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.091 * [taylor]: Taking taylor expansion of PI in a 18.091 * [backup-simplify]: Simplify PI into PI 18.091 * [taylor]: Taking taylor expansion of a in a 18.091 * [backup-simplify]: Simplify 0 into 0 18.092 * [backup-simplify]: Simplify 1 into 1 18.092 * [backup-simplify]: Simplify (/ PI 1) into PI 18.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.094 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 18.094 * [backup-simplify]: Simplify 0 into 0 18.095 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 18.095 * [backup-simplify]: Simplify 0 into 0 18.095 * [backup-simplify]: Simplify (- 0) into 0 18.096 * [backup-simplify]: Simplify (+ 0 0) into 0 18.096 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (* 0 PI))) into 0 18.097 * [backup-simplify]: Simplify (+ 0 0) into 0 18.098 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1 PI) (/ 0 a)) (* (* 2 (/ PI a)) (/ 1 a)))) into (- (* 2 (/ PI (pow a 2)))) 18.099 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI)))) into (- (* 1.0 (/ PI (pow a 2)))) 18.099 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 2)))) in a 18.099 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 18.099 * [taylor]: Taking taylor expansion of 1.0 in a 18.099 * [backup-simplify]: Simplify 1.0 into 1.0 18.099 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.099 * [taylor]: Taking taylor expansion of PI in a 18.099 * [backup-simplify]: Simplify PI into PI 18.099 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.099 * [taylor]: Taking taylor expansion of a in a 18.099 * [backup-simplify]: Simplify 0 into 0 18.099 * [backup-simplify]: Simplify 1 into 1 18.099 * [backup-simplify]: Simplify (* 1 1) into 1 18.100 * [backup-simplify]: Simplify (/ PI 1) into PI 18.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.104 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.105 * [backup-simplify]: Simplify (- 0) into 0 18.105 * [backup-simplify]: Simplify 0 into 0 18.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.107 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.107 * [backup-simplify]: Simplify 0 into 0 18.108 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.109 * [backup-simplify]: Simplify 0 into 0 18.109 * [backup-simplify]: Simplify (- 0) into 0 18.110 * [backup-simplify]: Simplify (+ 0 0) into 0 18.111 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.111 * [backup-simplify]: Simplify (+ 0 0) into 0 18.112 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (* -1 PI) (/ 0 a)) (* (* 2 (/ PI a)) (/ 0 a)) (* (- (* 2 (/ PI (pow a 2)))) (/ 1 a)))) into (* 2 (/ PI (pow a 3))) 18.114 * [backup-simplify]: Simplify (+ (* 0.5 (* 2 (/ PI (pow a 3)))) (+ (* 0 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI))))) into (* 1.0 (/ PI (pow a 3))) 18.114 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 18.114 * [taylor]: Taking taylor expansion of 1.0 in a 18.114 * [backup-simplify]: Simplify 1.0 into 1.0 18.114 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 18.114 * [taylor]: Taking taylor expansion of PI in a 18.114 * [backup-simplify]: Simplify PI into PI 18.114 * [taylor]: Taking taylor expansion of (pow a 3) in a 18.114 * [taylor]: Taking taylor expansion of a in a 18.114 * [backup-simplify]: Simplify 0 into 0 18.114 * [backup-simplify]: Simplify 1 into 1 18.114 * [backup-simplify]: Simplify (* 1 1) into 1 18.115 * [backup-simplify]: Simplify (* 1 1) into 1 18.115 * [backup-simplify]: Simplify (/ PI 1) into PI 18.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.124 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.124 * [backup-simplify]: Simplify 0 into 0 18.125 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 18.130 * [backup-simplify]: Simplify (* (/ (* (/ PI 2.0) 1.0) (+ (/ 1 b) (/ 1 a))) (* 1.0 (- (/ 1 b) (/ 1 a)))) into (* 0.5 (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b)))) 18.130 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.130 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b)))) in a 18.130 * [taylor]: Taking taylor expansion of 0.5 in a 18.130 * [backup-simplify]: Simplify 0.5 into 0.5 18.131 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) in a 18.131 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in a 18.131 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 18.131 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.131 * [taylor]: Taking taylor expansion of b in a 18.131 * [backup-simplify]: Simplify b into b 18.131 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.131 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.131 * [taylor]: Taking taylor expansion of a in a 18.131 * [backup-simplify]: Simplify 0 into 0 18.131 * [backup-simplify]: Simplify 1 into 1 18.132 * [backup-simplify]: Simplify (/ 1 1) into 1 18.132 * [taylor]: Taking taylor expansion of PI in a 18.132 * [backup-simplify]: Simplify PI into PI 18.132 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.132 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.132 * [taylor]: Taking taylor expansion of a in a 18.132 * [backup-simplify]: Simplify 0 into 0 18.132 * [backup-simplify]: Simplify 1 into 1 18.132 * [backup-simplify]: Simplify (/ 1 1) into 1 18.132 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.132 * [taylor]: Taking taylor expansion of b in a 18.132 * [backup-simplify]: Simplify b into b 18.132 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.133 * [backup-simplify]: Simplify (- 1) into -1 18.133 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.134 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 18.134 * [backup-simplify]: Simplify (+ 1 0) into 1 18.135 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 18.135 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b)))) in b 18.135 * [taylor]: Taking taylor expansion of 0.5 in b 18.135 * [backup-simplify]: Simplify 0.5 into 0.5 18.135 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 18.135 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in b 18.135 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 18.135 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.135 * [taylor]: Taking taylor expansion of b in b 18.135 * [backup-simplify]: Simplify 0 into 0 18.135 * [backup-simplify]: Simplify 1 into 1 18.136 * [backup-simplify]: Simplify (/ 1 1) into 1 18.136 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.136 * [taylor]: Taking taylor expansion of a in b 18.136 * [backup-simplify]: Simplify a into a 18.136 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.136 * [taylor]: Taking taylor expansion of PI in b 18.136 * [backup-simplify]: Simplify PI into PI 18.136 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.136 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.136 * [taylor]: Taking taylor expansion of a in b 18.136 * [backup-simplify]: Simplify a into a 18.136 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.136 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.136 * [taylor]: Taking taylor expansion of b in b 18.136 * [backup-simplify]: Simplify 0 into 0 18.136 * [backup-simplify]: Simplify 1 into 1 18.136 * [backup-simplify]: Simplify (/ 1 1) into 1 18.137 * [backup-simplify]: Simplify (+ 1 0) into 1 18.137 * [backup-simplify]: Simplify (* 1 PI) into PI 18.138 * [backup-simplify]: Simplify (+ 0 1) into 1 18.138 * [backup-simplify]: Simplify (/ PI 1) into PI 18.138 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b)))) in b 18.138 * [taylor]: Taking taylor expansion of 0.5 in b 18.138 * [backup-simplify]: Simplify 0.5 into 0.5 18.138 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 b) (/ 1 a)) PI) (+ (/ 1 a) (/ 1 b))) in b 18.138 * [taylor]: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) PI) in b 18.138 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 18.138 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.138 * [taylor]: Taking taylor expansion of b in b 18.138 * [backup-simplify]: Simplify 0 into 0 18.138 * [backup-simplify]: Simplify 1 into 1 18.139 * [backup-simplify]: Simplify (/ 1 1) into 1 18.139 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.139 * [taylor]: Taking taylor expansion of a in b 18.139 * [backup-simplify]: Simplify a into a 18.139 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.139 * [taylor]: Taking taylor expansion of PI in b 18.139 * [backup-simplify]: Simplify PI into PI 18.139 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.139 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.139 * [taylor]: Taking taylor expansion of a in b 18.139 * [backup-simplify]: Simplify a into a 18.139 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.139 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.139 * [taylor]: Taking taylor expansion of b in b 18.139 * [backup-simplify]: Simplify 0 into 0 18.139 * [backup-simplify]: Simplify 1 into 1 18.140 * [backup-simplify]: Simplify (/ 1 1) into 1 18.140 * [backup-simplify]: Simplify (+ 1 0) into 1 18.141 * [backup-simplify]: Simplify (* 1 PI) into PI 18.141 * [backup-simplify]: Simplify (+ 0 1) into 1 18.142 * [backup-simplify]: Simplify (/ PI 1) into PI 18.142 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 18.142 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 18.142 * [taylor]: Taking taylor expansion of 0.5 in a 18.142 * [backup-simplify]: Simplify 0.5 into 0.5 18.142 * [taylor]: Taking taylor expansion of PI in a 18.142 * [backup-simplify]: Simplify PI into PI 18.143 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 18.143 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 18.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.144 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 18.145 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 18.145 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 a)) PI)) into (- (/ PI a)) 18.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.146 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.147 * [backup-simplify]: Simplify (- (/ (- (/ PI a)) 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (* 2 (/ PI a))) 18.147 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ PI a)))) (* 0 PI)) into (- (* 1.0 (/ PI a))) 18.147 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI a))) in a 18.147 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 18.147 * [taylor]: Taking taylor expansion of 1.0 in a 18.147 * [backup-simplify]: Simplify 1.0 into 1.0 18.147 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.147 * [taylor]: Taking taylor expansion of PI in a 18.147 * [backup-simplify]: Simplify PI into PI 18.147 * [taylor]: Taking taylor expansion of a in a 18.148 * [backup-simplify]: Simplify 0 into 0 18.148 * [backup-simplify]: Simplify 1 into 1 18.148 * [backup-simplify]: Simplify (/ PI 1) into PI 18.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.150 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 18.150 * [backup-simplify]: Simplify (- 0) into 0 18.150 * [backup-simplify]: Simplify 0 into 0 18.151 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 18.151 * [backup-simplify]: Simplify 0 into 0 18.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.152 * [backup-simplify]: Simplify (- 0) into 0 18.153 * [backup-simplify]: Simplify (+ 0 0) into 0 18.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (* 0 PI))) into 0 18.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.155 * [backup-simplify]: Simplify (+ 0 0) into 0 18.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (* 2 (/ PI a))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 2))) 18.158 * [backup-simplify]: Simplify (+ (* 0.5 (* 2 (/ PI (pow a 2)))) (+ (* 0 (- (* 2 (/ PI a)))) (* 0 PI))) into (* 1.0 (/ PI (pow a 2))) 18.158 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 18.158 * [taylor]: Taking taylor expansion of 1.0 in a 18.158 * [backup-simplify]: Simplify 1.0 into 1.0 18.158 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.158 * [taylor]: Taking taylor expansion of PI in a 18.158 * [backup-simplify]: Simplify PI into PI 18.158 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.158 * [taylor]: Taking taylor expansion of a in a 18.158 * [backup-simplify]: Simplify 0 into 0 18.158 * [backup-simplify]: Simplify 1 into 1 18.158 * [backup-simplify]: Simplify (* 1 1) into 1 18.159 * [backup-simplify]: Simplify (/ PI 1) into PI 18.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.163 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.163 * [backup-simplify]: Simplify 0 into 0 18.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.165 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.166 * [backup-simplify]: Simplify (- 0) into 0 18.166 * [backup-simplify]: Simplify 0 into 0 18.167 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.167 * [backup-simplify]: Simplify 0 into 0 18.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.168 * [backup-simplify]: Simplify (- 0) into 0 18.168 * [backup-simplify]: Simplify (+ 0 0) into 0 18.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (* 0 PI)))) into 0 18.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.171 * [backup-simplify]: Simplify (+ 0 0) into 0 18.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (* 2 (/ PI a))) (/ 0 1)) (* (* 2 (/ PI (pow a 2))) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 3)))) 18.174 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2 (/ PI (pow a 3))))) (+ (* 0 (* 2 (/ PI (pow a 2)))) (+ (* 0 (- (* 2 (/ PI a)))) (* 0 PI)))) into (- (* 1.0 (/ PI (pow a 3)))) 18.174 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 18.174 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 18.174 * [taylor]: Taking taylor expansion of 1.0 in a 18.174 * [backup-simplify]: Simplify 1.0 into 1.0 18.174 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 18.174 * [taylor]: Taking taylor expansion of PI in a 18.174 * [backup-simplify]: Simplify PI into PI 18.174 * [taylor]: Taking taylor expansion of (pow a 3) in a 18.174 * [taylor]: Taking taylor expansion of a in a 18.174 * [backup-simplify]: Simplify 0 into 0 18.174 * [backup-simplify]: Simplify 1 into 1 18.175 * [backup-simplify]: Simplify (* 1 1) into 1 18.175 * [backup-simplify]: Simplify (* 1 1) into 1 18.175 * [backup-simplify]: Simplify (/ PI 1) into PI 18.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.185 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.185 * [backup-simplify]: Simplify (- 0) into 0 18.185 * [backup-simplify]: Simplify 0 into 0 18.186 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 18.187 * [backup-simplify]: Simplify (* (/ (* (/ PI 2.0) 1.0) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -0.5 (/ (* (- (/ 1 a) (/ 1 b)) PI) (+ (/ 1 a) (/ 1 b)))) 18.187 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* (- (/ 1 a) (/ 1 b)) PI) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.187 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (/ 1 a) (/ 1 b)) PI) (+ (/ 1 a) (/ 1 b)))) in a 18.187 * [taylor]: Taking taylor expansion of -0.5 in a 18.187 * [backup-simplify]: Simplify -0.5 into -0.5 18.187 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 a) (/ 1 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 18.187 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) PI) in a 18.188 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 18.188 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.188 * [taylor]: Taking taylor expansion of a in a 18.188 * [backup-simplify]: Simplify 0 into 0 18.188 * [backup-simplify]: Simplify 1 into 1 18.188 * [backup-simplify]: Simplify (/ 1 1) into 1 18.188 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.188 * [taylor]: Taking taylor expansion of b in a 18.188 * [backup-simplify]: Simplify b into b 18.188 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.188 * [taylor]: Taking taylor expansion of PI in a 18.188 * [backup-simplify]: Simplify PI into PI 18.188 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.188 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.188 * [taylor]: Taking taylor expansion of a in a 18.188 * [backup-simplify]: Simplify 0 into 0 18.188 * [backup-simplify]: Simplify 1 into 1 18.189 * [backup-simplify]: Simplify (/ 1 1) into 1 18.189 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.189 * [taylor]: Taking taylor expansion of b in a 18.189 * [backup-simplify]: Simplify b into b 18.189 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.189 * [backup-simplify]: Simplify (+ 1 0) into 1 18.190 * [backup-simplify]: Simplify (* 1 PI) into PI 18.190 * [backup-simplify]: Simplify (+ 1 0) into 1 18.191 * [backup-simplify]: Simplify (/ PI 1) into PI 18.191 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (/ 1 a) (/ 1 b)) PI) (+ (/ 1 a) (/ 1 b)))) in b 18.191 * [taylor]: Taking taylor expansion of -0.5 in b 18.191 * [backup-simplify]: Simplify -0.5 into -0.5 18.191 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 a) (/ 1 b)) PI) (+ (/ 1 a) (/ 1 b))) in b 18.191 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) PI) in b 18.191 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 18.191 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.191 * [taylor]: Taking taylor expansion of a in b 18.191 * [backup-simplify]: Simplify a into a 18.191 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.191 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.191 * [taylor]: Taking taylor expansion of b in b 18.191 * [backup-simplify]: Simplify 0 into 0 18.191 * [backup-simplify]: Simplify 1 into 1 18.191 * [backup-simplify]: Simplify (/ 1 1) into 1 18.191 * [taylor]: Taking taylor expansion of PI in b 18.191 * [backup-simplify]: Simplify PI into PI 18.191 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.191 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.191 * [taylor]: Taking taylor expansion of a in b 18.191 * [backup-simplify]: Simplify a into a 18.192 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.192 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.192 * [taylor]: Taking taylor expansion of b in b 18.192 * [backup-simplify]: Simplify 0 into 0 18.192 * [backup-simplify]: Simplify 1 into 1 18.192 * [backup-simplify]: Simplify (/ 1 1) into 1 18.192 * [backup-simplify]: Simplify (- 1) into -1 18.192 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.193 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 18.193 * [backup-simplify]: Simplify (+ 0 1) into 1 18.194 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 18.194 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* (- (/ 1 a) (/ 1 b)) PI) (+ (/ 1 a) (/ 1 b)))) in b 18.194 * [taylor]: Taking taylor expansion of -0.5 in b 18.194 * [backup-simplify]: Simplify -0.5 into -0.5 18.194 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 a) (/ 1 b)) PI) (+ (/ 1 a) (/ 1 b))) in b 18.194 * [taylor]: Taking taylor expansion of (* (- (/ 1 a) (/ 1 b)) PI) in b 18.194 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 18.194 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.194 * [taylor]: Taking taylor expansion of a in b 18.194 * [backup-simplify]: Simplify a into a 18.194 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.194 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.194 * [taylor]: Taking taylor expansion of b in b 18.194 * [backup-simplify]: Simplify 0 into 0 18.194 * [backup-simplify]: Simplify 1 into 1 18.194 * [backup-simplify]: Simplify (/ 1 1) into 1 18.194 * [taylor]: Taking taylor expansion of PI in b 18.194 * [backup-simplify]: Simplify PI into PI 18.194 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.194 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.194 * [taylor]: Taking taylor expansion of a in b 18.194 * [backup-simplify]: Simplify a into a 18.194 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.194 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.194 * [taylor]: Taking taylor expansion of b in b 18.194 * [backup-simplify]: Simplify 0 into 0 18.194 * [backup-simplify]: Simplify 1 into 1 18.194 * [backup-simplify]: Simplify (/ 1 1) into 1 18.195 * [backup-simplify]: Simplify (- 1) into -1 18.195 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.195 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 18.196 * [backup-simplify]: Simplify (+ 0 1) into 1 18.196 * [backup-simplify]: Simplify (/ (* -1 PI) 1) into (* -1 PI) 18.197 * [backup-simplify]: Simplify (* -0.5 (* -1 PI)) into (* 0.5 PI) 18.197 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 18.197 * [taylor]: Taking taylor expansion of 0.5 in a 18.197 * [backup-simplify]: Simplify 0.5 into 0.5 18.197 * [taylor]: Taking taylor expansion of PI in a 18.197 * [backup-simplify]: Simplify PI into PI 18.197 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 18.198 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 18.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.198 * [backup-simplify]: Simplify (- 0) into 0 18.198 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.199 * [backup-simplify]: Simplify (+ (* -1 0) (* (/ 1 a) PI)) into (/ PI a) 18.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.199 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.200 * [backup-simplify]: Simplify (- (/ (/ PI a) 1) (+ (* (* -1 PI) (/ (/ 1 a) 1)))) into (* 2 (/ PI a)) 18.200 * [backup-simplify]: Simplify (+ (* -0.5 (* 2 (/ PI a))) (* 0 (* -1 PI))) into (- (* 1.0 (/ PI a))) 18.200 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI a))) in a 18.200 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI a)) in a 18.200 * [taylor]: Taking taylor expansion of 1.0 in a 18.200 * [backup-simplify]: Simplify 1.0 into 1.0 18.200 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.200 * [taylor]: Taking taylor expansion of PI in a 18.200 * [backup-simplify]: Simplify PI into PI 18.200 * [taylor]: Taking taylor expansion of a in a 18.200 * [backup-simplify]: Simplify 0 into 0 18.200 * [backup-simplify]: Simplify 1 into 1 18.201 * [backup-simplify]: Simplify (/ PI 1) into PI 18.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.201 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 18.202 * [backup-simplify]: Simplify (- 0) into 0 18.202 * [backup-simplify]: Simplify 0 into 0 18.202 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 18.202 * [backup-simplify]: Simplify 0 into 0 18.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.203 * [backup-simplify]: Simplify (- 0) into 0 18.204 * [backup-simplify]: Simplify (+ 0 0) into 0 18.204 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 a) 0) (* 0 PI))) into 0 18.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.205 * [backup-simplify]: Simplify (+ 0 0) into 0 18.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)) (* (* 2 (/ PI a)) (/ (/ 1 a) 1)))) into (- (* 2 (/ PI (pow a 2)))) 18.207 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI)))) into (* 1.0 (/ PI (pow a 2))) 18.207 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 2))) in a 18.207 * [taylor]: Taking taylor expansion of 1.0 in a 18.207 * [backup-simplify]: Simplify 1.0 into 1.0 18.207 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.207 * [taylor]: Taking taylor expansion of PI in a 18.207 * [backup-simplify]: Simplify PI into PI 18.207 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.207 * [taylor]: Taking taylor expansion of a in a 18.207 * [backup-simplify]: Simplify 0 into 0 18.207 * [backup-simplify]: Simplify 1 into 1 18.207 * [backup-simplify]: Simplify (* 1 1) into 1 18.207 * [backup-simplify]: Simplify (/ PI 1) into PI 18.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.210 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.210 * [backup-simplify]: Simplify 0 into 0 18.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.211 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 18.211 * [backup-simplify]: Simplify (- 0) into 0 18.211 * [backup-simplify]: Simplify 0 into 0 18.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.212 * [backup-simplify]: Simplify 0 into 0 18.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.213 * [backup-simplify]: Simplify (- 0) into 0 18.213 * [backup-simplify]: Simplify (+ 0 0) into 0 18.214 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 PI)))) into 0 18.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 18.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.215 * [backup-simplify]: Simplify (+ 0 0) into 0 18.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1 PI) (/ 0 1)) (* (* 2 (/ PI a)) (/ 0 1)) (* (- (* 2 (/ PI (pow a 2)))) (/ (/ 1 a) 1)))) into (* 2 (/ PI (pow a 3))) 18.217 * [backup-simplify]: Simplify (+ (* -0.5 (* 2 (/ PI (pow a 3)))) (+ (* 0 (- (* 2 (/ PI (pow a 2))))) (+ (* 0 (* 2 (/ PI a))) (* 0 (* -1 PI))))) into (- (* 1.0 (/ PI (pow a 3)))) 18.217 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow a 3)))) in a 18.217 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow a 3))) in a 18.217 * [taylor]: Taking taylor expansion of 1.0 in a 18.217 * [backup-simplify]: Simplify 1.0 into 1.0 18.217 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 18.217 * [taylor]: Taking taylor expansion of PI in a 18.217 * [backup-simplify]: Simplify PI into PI 18.217 * [taylor]: Taking taylor expansion of (pow a 3) in a 18.217 * [taylor]: Taking taylor expansion of a in a 18.217 * [backup-simplify]: Simplify 0 into 0 18.217 * [backup-simplify]: Simplify 1 into 1 18.217 * [backup-simplify]: Simplify (* 1 1) into 1 18.217 * [backup-simplify]: Simplify (* 1 1) into 1 18.218 * [backup-simplify]: Simplify (/ PI 1) into PI 18.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.227 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.227 * [backup-simplify]: Simplify (- 0) into 0 18.227 * [backup-simplify]: Simplify 0 into 0 18.227 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 18.228 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 18.229 * [backup-simplify]: Simplify (/ (* (/ PI 2.0) 1.0) (+ b a)) into (* 0.5 (/ PI (+ a b))) 18.229 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (b a) around 0 18.229 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 18.229 * [taylor]: Taking taylor expansion of 0.5 in a 18.229 * [backup-simplify]: Simplify 0.5 into 0.5 18.229 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 18.229 * [taylor]: Taking taylor expansion of PI in a 18.229 * [backup-simplify]: Simplify PI into PI 18.229 * [taylor]: Taking taylor expansion of (+ a b) in a 18.229 * [taylor]: Taking taylor expansion of a in a 18.229 * [backup-simplify]: Simplify 0 into 0 18.229 * [backup-simplify]: Simplify 1 into 1 18.229 * [taylor]: Taking taylor expansion of b in a 18.229 * [backup-simplify]: Simplify b into b 18.229 * [backup-simplify]: Simplify (+ 0 b) into b 18.229 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 18.229 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 18.230 * [taylor]: Taking taylor expansion of 0.5 in b 18.230 * [backup-simplify]: Simplify 0.5 into 0.5 18.230 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 18.230 * [taylor]: Taking taylor expansion of PI in b 18.230 * [backup-simplify]: Simplify PI into PI 18.230 * [taylor]: Taking taylor expansion of (+ a b) in b 18.230 * [taylor]: Taking taylor expansion of a in b 18.230 * [backup-simplify]: Simplify a into a 18.230 * [taylor]: Taking taylor expansion of b in b 18.230 * [backup-simplify]: Simplify 0 into 0 18.230 * [backup-simplify]: Simplify 1 into 1 18.230 * [backup-simplify]: Simplify (+ a 0) into a 18.230 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 18.230 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 18.230 * [taylor]: Taking taylor expansion of 0.5 in b 18.230 * [backup-simplify]: Simplify 0.5 into 0.5 18.230 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 18.230 * [taylor]: Taking taylor expansion of PI in b 18.230 * [backup-simplify]: Simplify PI into PI 18.230 * [taylor]: Taking taylor expansion of (+ a b) in b 18.230 * [taylor]: Taking taylor expansion of a in b 18.230 * [backup-simplify]: Simplify a into a 18.230 * [taylor]: Taking taylor expansion of b in b 18.230 * [backup-simplify]: Simplify 0 into 0 18.230 * [backup-simplify]: Simplify 1 into 1 18.230 * [backup-simplify]: Simplify (+ a 0) into a 18.230 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 18.231 * [backup-simplify]: Simplify (* 0.5 (/ PI a)) into (* 0.5 (/ PI a)) 18.231 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 18.231 * [taylor]: Taking taylor expansion of 0.5 in a 18.231 * [backup-simplify]: Simplify 0.5 into 0.5 18.231 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.231 * [taylor]: Taking taylor expansion of PI in a 18.231 * [backup-simplify]: Simplify PI into PI 18.231 * [taylor]: Taking taylor expansion of a in a 18.231 * [backup-simplify]: Simplify 0 into 0 18.231 * [backup-simplify]: Simplify 1 into 1 18.231 * [backup-simplify]: Simplify (/ PI 1) into PI 18.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.233 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 18.233 * [backup-simplify]: Simplify 0 into 0 18.234 * [backup-simplify]: Simplify (+ 0 1) into 1 18.234 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (pow a 2))) 18.235 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 2)))) (* 0 (/ PI a))) into (- (* 0.5 (/ PI (pow a 2)))) 18.235 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 18.235 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 18.235 * [taylor]: Taking taylor expansion of 0.5 in a 18.235 * [backup-simplify]: Simplify 0.5 into 0.5 18.235 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.235 * [taylor]: Taking taylor expansion of PI in a 18.235 * [backup-simplify]: Simplify PI into PI 18.235 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.235 * [taylor]: Taking taylor expansion of a in a 18.235 * [backup-simplify]: Simplify 0 into 0 18.235 * [backup-simplify]: Simplify 1 into 1 18.235 * [backup-simplify]: Simplify (* 1 1) into 1 18.236 * [backup-simplify]: Simplify (/ PI 1) into PI 18.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.241 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.241 * [backup-simplify]: Simplify (- 0) into 0 18.241 * [backup-simplify]: Simplify 0 into 0 18.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.243 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.243 * [backup-simplify]: Simplify 0 into 0 18.244 * [backup-simplify]: Simplify (+ 0 0) into 0 18.244 * [backup-simplify]: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (pow a 2))) (/ 1 a)))) into (/ PI (pow a 3)) 18.245 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (pow a 2)))) (* 0 (/ PI a)))) into (* 0.5 (/ PI (pow a 3))) 18.245 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 18.245 * [taylor]: Taking taylor expansion of 0.5 in a 18.245 * [backup-simplify]: Simplify 0.5 into 0.5 18.245 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 18.245 * [taylor]: Taking taylor expansion of PI in a 18.245 * [backup-simplify]: Simplify PI into PI 18.245 * [taylor]: Taking taylor expansion of (pow a 3) in a 18.245 * [taylor]: Taking taylor expansion of a in a 18.245 * [backup-simplify]: Simplify 0 into 0 18.245 * [backup-simplify]: Simplify 1 into 1 18.246 * [backup-simplify]: Simplify (* 1 1) into 1 18.246 * [backup-simplify]: Simplify (* 1 1) into 1 18.247 * [backup-simplify]: Simplify (/ PI 1) into PI 18.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.258 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.258 * [backup-simplify]: Simplify 0 into 0 18.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.266 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.267 * [backup-simplify]: Simplify (- 0) into 0 18.267 * [backup-simplify]: Simplify 0 into 0 18.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.269 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.269 * [backup-simplify]: Simplify 0 into 0 18.269 * [backup-simplify]: Simplify 0 into 0 18.271 * [backup-simplify]: Simplify (/ (* (/ PI 2.0) 1.0) (+ (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 18.271 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.271 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 18.271 * [taylor]: Taking taylor expansion of 0.5 in a 18.271 * [backup-simplify]: Simplify 0.5 into 0.5 18.271 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 18.271 * [taylor]: Taking taylor expansion of PI in a 18.271 * [backup-simplify]: Simplify PI into PI 18.271 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.271 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.271 * [taylor]: Taking taylor expansion of a in a 18.271 * [backup-simplify]: Simplify 0 into 0 18.271 * [backup-simplify]: Simplify 1 into 1 18.272 * [backup-simplify]: Simplify (/ 1 1) into 1 18.272 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.272 * [taylor]: Taking taylor expansion of b in a 18.272 * [backup-simplify]: Simplify b into b 18.272 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.272 * [backup-simplify]: Simplify (+ 1 0) into 1 18.273 * [backup-simplify]: Simplify (/ PI 1) into PI 18.273 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 18.273 * [taylor]: Taking taylor expansion of 0.5 in b 18.273 * [backup-simplify]: Simplify 0.5 into 0.5 18.273 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 18.273 * [taylor]: Taking taylor expansion of PI in b 18.273 * [backup-simplify]: Simplify PI into PI 18.273 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.273 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.273 * [taylor]: Taking taylor expansion of a in b 18.273 * [backup-simplify]: Simplify a into a 18.273 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.273 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.273 * [taylor]: Taking taylor expansion of b in b 18.273 * [backup-simplify]: Simplify 0 into 0 18.273 * [backup-simplify]: Simplify 1 into 1 18.273 * [backup-simplify]: Simplify (/ 1 1) into 1 18.274 * [backup-simplify]: Simplify (+ 0 1) into 1 18.274 * [backup-simplify]: Simplify (/ PI 1) into PI 18.274 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 18.274 * [taylor]: Taking taylor expansion of 0.5 in b 18.274 * [backup-simplify]: Simplify 0.5 into 0.5 18.274 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 18.274 * [taylor]: Taking taylor expansion of PI in b 18.275 * [backup-simplify]: Simplify PI into PI 18.275 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.275 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.275 * [taylor]: Taking taylor expansion of a in b 18.275 * [backup-simplify]: Simplify a into a 18.275 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.275 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.275 * [taylor]: Taking taylor expansion of b in b 18.275 * [backup-simplify]: Simplify 0 into 0 18.275 * [backup-simplify]: Simplify 1 into 1 18.275 * [backup-simplify]: Simplify (/ 1 1) into 1 18.276 * [backup-simplify]: Simplify (+ 0 1) into 1 18.276 * [backup-simplify]: Simplify (/ PI 1) into PI 18.277 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 18.277 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 18.277 * [taylor]: Taking taylor expansion of 0.5 in a 18.277 * [backup-simplify]: Simplify 0.5 into 0.5 18.277 * [taylor]: Taking taylor expansion of PI in a 18.277 * [backup-simplify]: Simplify PI into PI 18.277 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 18.277 * [backup-simplify]: Simplify 0 into 0 18.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.278 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 18.279 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI a))) (* 0 PI)) into (- (* 0.5 (/ PI a))) 18.279 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 18.279 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 18.279 * [taylor]: Taking taylor expansion of 0.5 in a 18.279 * [backup-simplify]: Simplify 0.5 into 0.5 18.280 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.280 * [taylor]: Taking taylor expansion of PI in a 18.280 * [backup-simplify]: Simplify PI into PI 18.280 * [taylor]: Taking taylor expansion of a in a 18.280 * [backup-simplify]: Simplify 0 into 0 18.280 * [backup-simplify]: Simplify 1 into 1 18.280 * [backup-simplify]: Simplify (/ PI 1) into PI 18.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.283 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.283 * [backup-simplify]: Simplify (- 0) into 0 18.283 * [backup-simplify]: Simplify 0 into 0 18.284 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.284 * [backup-simplify]: Simplify 0 into 0 18.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.286 * [backup-simplify]: Simplify (+ 0 0) into 0 18.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 18.288 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 18.288 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 18.288 * [taylor]: Taking taylor expansion of 0.5 in a 18.288 * [backup-simplify]: Simplify 0.5 into 0.5 18.288 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.288 * [taylor]: Taking taylor expansion of PI in a 18.288 * [backup-simplify]: Simplify PI into PI 18.288 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.288 * [taylor]: Taking taylor expansion of a in a 18.288 * [backup-simplify]: Simplify 0 into 0 18.288 * [backup-simplify]: Simplify 1 into 1 18.288 * [backup-simplify]: Simplify (* 1 1) into 1 18.289 * [backup-simplify]: Simplify (/ PI 1) into PI 18.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.295 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.295 * [backup-simplify]: Simplify 0 into 0 18.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.298 * [backup-simplify]: Simplify (- 0) into 0 18.298 * [backup-simplify]: Simplify 0 into 0 18.299 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.299 * [backup-simplify]: Simplify 0 into 0 18.299 * [backup-simplify]: Simplify 0 into 0 18.300 * [backup-simplify]: Simplify (/ (* (/ PI 2.0) 1.0) (+ (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 18.300 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.300 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 18.300 * [taylor]: Taking taylor expansion of -0.5 in a 18.300 * [backup-simplify]: Simplify -0.5 into -0.5 18.300 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 18.300 * [taylor]: Taking taylor expansion of PI in a 18.300 * [backup-simplify]: Simplify PI into PI 18.300 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.300 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.300 * [taylor]: Taking taylor expansion of a in a 18.300 * [backup-simplify]: Simplify 0 into 0 18.300 * [backup-simplify]: Simplify 1 into 1 18.301 * [backup-simplify]: Simplify (/ 1 1) into 1 18.301 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.301 * [taylor]: Taking taylor expansion of b in a 18.301 * [backup-simplify]: Simplify b into b 18.301 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.301 * [backup-simplify]: Simplify (+ 1 0) into 1 18.302 * [backup-simplify]: Simplify (/ PI 1) into PI 18.302 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 18.302 * [taylor]: Taking taylor expansion of -0.5 in b 18.302 * [backup-simplify]: Simplify -0.5 into -0.5 18.302 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 18.302 * [taylor]: Taking taylor expansion of PI in b 18.302 * [backup-simplify]: Simplify PI into PI 18.302 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.302 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.302 * [taylor]: Taking taylor expansion of a in b 18.302 * [backup-simplify]: Simplify a into a 18.302 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.302 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.302 * [taylor]: Taking taylor expansion of b in b 18.302 * [backup-simplify]: Simplify 0 into 0 18.302 * [backup-simplify]: Simplify 1 into 1 18.303 * [backup-simplify]: Simplify (/ 1 1) into 1 18.303 * [backup-simplify]: Simplify (+ 0 1) into 1 18.304 * [backup-simplify]: Simplify (/ PI 1) into PI 18.304 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 18.304 * [taylor]: Taking taylor expansion of -0.5 in b 18.304 * [backup-simplify]: Simplify -0.5 into -0.5 18.304 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 18.304 * [taylor]: Taking taylor expansion of PI in b 18.304 * [backup-simplify]: Simplify PI into PI 18.304 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.304 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.304 * [taylor]: Taking taylor expansion of a in b 18.304 * [backup-simplify]: Simplify a into a 18.304 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.304 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.304 * [taylor]: Taking taylor expansion of b in b 18.304 * [backup-simplify]: Simplify 0 into 0 18.304 * [backup-simplify]: Simplify 1 into 1 18.304 * [backup-simplify]: Simplify (/ 1 1) into 1 18.305 * [backup-simplify]: Simplify (+ 0 1) into 1 18.305 * [backup-simplify]: Simplify (/ PI 1) into PI 18.306 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 18.306 * [taylor]: Taking taylor expansion of (* -0.5 PI) in a 18.306 * [taylor]: Taking taylor expansion of -0.5 in a 18.306 * [backup-simplify]: Simplify -0.5 into -0.5 18.306 * [taylor]: Taking taylor expansion of PI in a 18.306 * [backup-simplify]: Simplify PI into PI 18.307 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 18.307 * [backup-simplify]: Simplify 0 into 0 18.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.308 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) 18.309 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI a))) (* 0 PI)) into (* 0.5 (/ PI a)) 18.309 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 18.309 * [taylor]: Taking taylor expansion of 0.5 in a 18.309 * [backup-simplify]: Simplify 0.5 into 0.5 18.309 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.309 * [taylor]: Taking taylor expansion of PI in a 18.309 * [backup-simplify]: Simplify PI into PI 18.309 * [taylor]: Taking taylor expansion of a in a 18.309 * [backup-simplify]: Simplify 0 into 0 18.309 * [backup-simplify]: Simplify 1 into 1 18.310 * [backup-simplify]: Simplify (/ PI 1) into PI 18.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.313 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.313 * [backup-simplify]: Simplify 0 into 0 18.314 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.314 * [backup-simplify]: Simplify 0 into 0 18.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.315 * [backup-simplify]: Simplify (+ 0 0) into 0 18.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (pow a 2)) 18.317 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow a 2))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (* 0.5 (/ PI (pow a 2)))) 18.317 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 2)))) in a 18.317 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 18.317 * [taylor]: Taking taylor expansion of 0.5 in a 18.317 * [backup-simplify]: Simplify 0.5 into 0.5 18.317 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.317 * [taylor]: Taking taylor expansion of PI in a 18.317 * [backup-simplify]: Simplify PI into PI 18.317 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.317 * [taylor]: Taking taylor expansion of a in a 18.318 * [backup-simplify]: Simplify 0 into 0 18.318 * [backup-simplify]: Simplify 1 into 1 18.318 * [backup-simplify]: Simplify (* 1 1) into 1 18.318 * [backup-simplify]: Simplify (/ PI 1) into PI 18.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.325 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.325 * [backup-simplify]: Simplify (- 0) into 0 18.325 * [backup-simplify]: Simplify 0 into 0 18.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.327 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.327 * [backup-simplify]: Simplify 0 into 0 18.328 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.328 * [backup-simplify]: Simplify 0 into 0 18.328 * [backup-simplify]: Simplify 0 into 0 18.329 * * * * [progress]: [ 4 / 4 ] generating series at (2) 18.330 * [backup-simplify]: Simplify (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b)) (- b a)) into (* 0.5 (/ PI (* a (* b (+ a b))))) 18.330 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in (b a) around 0 18.330 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in a 18.330 * [taylor]: Taking taylor expansion of 0.5 in a 18.330 * [backup-simplify]: Simplify 0.5 into 0.5 18.330 * [taylor]: Taking taylor expansion of (/ PI (* a (* b (+ a b)))) in a 18.330 * [taylor]: Taking taylor expansion of PI in a 18.330 * [backup-simplify]: Simplify PI into PI 18.330 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in a 18.330 * [taylor]: Taking taylor expansion of a in a 18.330 * [backup-simplify]: Simplify 0 into 0 18.330 * [backup-simplify]: Simplify 1 into 1 18.330 * [taylor]: Taking taylor expansion of (* b (+ a b)) in a 18.330 * [taylor]: Taking taylor expansion of b in a 18.330 * [backup-simplify]: Simplify b into b 18.330 * [taylor]: Taking taylor expansion of (+ a b) in a 18.330 * [taylor]: Taking taylor expansion of a in a 18.331 * [backup-simplify]: Simplify 0 into 0 18.331 * [backup-simplify]: Simplify 1 into 1 18.331 * [taylor]: Taking taylor expansion of b in a 18.331 * [backup-simplify]: Simplify b into b 18.331 * [backup-simplify]: Simplify (+ 0 b) into b 18.331 * [backup-simplify]: Simplify (* b b) into (pow b 2) 18.331 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 18.332 * [backup-simplify]: Simplify (+ 1 0) into 1 18.332 * [backup-simplify]: Simplify (+ (* b 1) (* 0 b)) into b 18.332 * [backup-simplify]: Simplify (+ (* 0 b) (* 1 (pow b 2))) into (pow b 2) 18.332 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 18.332 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in b 18.332 * [taylor]: Taking taylor expansion of 0.5 in b 18.332 * [backup-simplify]: Simplify 0.5 into 0.5 18.332 * [taylor]: Taking taylor expansion of (/ PI (* a (* b (+ a b)))) in b 18.332 * [taylor]: Taking taylor expansion of PI in b 18.332 * [backup-simplify]: Simplify PI into PI 18.332 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in b 18.332 * [taylor]: Taking taylor expansion of a in b 18.332 * [backup-simplify]: Simplify a into a 18.332 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 18.332 * [taylor]: Taking taylor expansion of b in b 18.332 * [backup-simplify]: Simplify 0 into 0 18.332 * [backup-simplify]: Simplify 1 into 1 18.332 * [taylor]: Taking taylor expansion of (+ a b) in b 18.332 * [taylor]: Taking taylor expansion of a in b 18.332 * [backup-simplify]: Simplify a into a 18.332 * [taylor]: Taking taylor expansion of b in b 18.332 * [backup-simplify]: Simplify 0 into 0 18.333 * [backup-simplify]: Simplify 1 into 1 18.333 * [backup-simplify]: Simplify (+ a 0) into a 18.333 * [backup-simplify]: Simplify (* 0 a) into 0 18.333 * [backup-simplify]: Simplify (* a 0) into 0 18.333 * [backup-simplify]: Simplify (+ 0 1) into 1 18.334 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 18.334 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 18.334 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 18.334 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* a (* b (+ a b))))) in b 18.334 * [taylor]: Taking taylor expansion of 0.5 in b 18.334 * [backup-simplify]: Simplify 0.5 into 0.5 18.334 * [taylor]: Taking taylor expansion of (/ PI (* a (* b (+ a b)))) in b 18.334 * [taylor]: Taking taylor expansion of PI in b 18.334 * [backup-simplify]: Simplify PI into PI 18.334 * [taylor]: Taking taylor expansion of (* a (* b (+ a b))) in b 18.334 * [taylor]: Taking taylor expansion of a in b 18.334 * [backup-simplify]: Simplify a into a 18.334 * [taylor]: Taking taylor expansion of (* b (+ a b)) in b 18.334 * [taylor]: Taking taylor expansion of b in b 18.334 * [backup-simplify]: Simplify 0 into 0 18.334 * [backup-simplify]: Simplify 1 into 1 18.334 * [taylor]: Taking taylor expansion of (+ a b) in b 18.335 * [taylor]: Taking taylor expansion of a in b 18.335 * [backup-simplify]: Simplify a into a 18.335 * [taylor]: Taking taylor expansion of b in b 18.335 * [backup-simplify]: Simplify 0 into 0 18.335 * [backup-simplify]: Simplify 1 into 1 18.335 * [backup-simplify]: Simplify (+ a 0) into a 18.335 * [backup-simplify]: Simplify (* 0 a) into 0 18.335 * [backup-simplify]: Simplify (* a 0) into 0 18.335 * [backup-simplify]: Simplify (+ 0 1) into 1 18.336 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 a)) into a 18.336 * [backup-simplify]: Simplify (+ (* a a) (* 0 0)) into (pow a 2) 18.336 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 18.336 * [backup-simplify]: Simplify (* 0.5 (/ PI (pow a 2))) into (* 0.5 (/ PI (pow a 2))) 18.336 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 18.337 * [taylor]: Taking taylor expansion of 0.5 in a 18.337 * [backup-simplify]: Simplify 0.5 into 0.5 18.337 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 18.337 * [taylor]: Taking taylor expansion of PI in a 18.337 * [backup-simplify]: Simplify PI into PI 18.337 * [taylor]: Taking taylor expansion of (pow a 2) in a 18.337 * [taylor]: Taking taylor expansion of a in a 18.337 * [backup-simplify]: Simplify 0 into 0 18.337 * [backup-simplify]: Simplify 1 into 1 18.337 * [backup-simplify]: Simplify (* 1 1) into 1 18.338 * [backup-simplify]: Simplify (/ PI 1) into PI 18.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.340 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 18.340 * [backup-simplify]: Simplify 0 into 0 18.340 * [backup-simplify]: Simplify (+ 0 0) into 0 18.341 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 a))) into 1 18.342 * [backup-simplify]: Simplify (+ (* a 1) (+ (* 0 a) (* 0 0))) into a 18.342 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ a (pow a 2))))) into (- (/ PI (pow a 3))) 18.343 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2)))) into (- (* 0.5 (/ PI (pow a 3)))) 18.343 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 18.343 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 18.343 * [taylor]: Taking taylor expansion of 0.5 in a 18.343 * [backup-simplify]: Simplify 0.5 into 0.5 18.343 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 18.343 * [taylor]: Taking taylor expansion of PI in a 18.343 * [backup-simplify]: Simplify PI into PI 18.343 * [taylor]: Taking taylor expansion of (pow a 3) in a 18.343 * [taylor]: Taking taylor expansion of a in a 18.343 * [backup-simplify]: Simplify 0 into 0 18.343 * [backup-simplify]: Simplify 1 into 1 18.343 * [backup-simplify]: Simplify (* 1 1) into 1 18.344 * [backup-simplify]: Simplify (* 1 1) into 1 18.344 * [backup-simplify]: Simplify (/ PI 1) into PI 18.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.349 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.350 * [backup-simplify]: Simplify (- 0) into 0 18.350 * [backup-simplify]: Simplify 0 into 0 18.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.353 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.353 * [backup-simplify]: Simplify 0 into 0 18.353 * [backup-simplify]: Simplify (+ 0 0) into 0 18.355 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 a)))) into 0 18.356 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 1) (+ (* 0 a) (* 0 0)))) into 0 18.356 * [backup-simplify]: Simplify (- (/ 0 (pow a 2)) (+ (* (/ PI (pow a 2)) (/ 0 (pow a 2))) (* (- (/ PI (pow a 3))) (/ a (pow a 2))))) into (/ PI (pow a 4)) 18.357 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 4))) (+ (* 0 (- (/ PI (pow a 3)))) (* 0 (/ PI (pow a 2))))) into (* 0.5 (/ PI (pow a 4))) 18.357 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 18.357 * [taylor]: Taking taylor expansion of 0.5 in a 18.357 * [backup-simplify]: Simplify 0.5 into 0.5 18.357 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 18.357 * [taylor]: Taking taylor expansion of PI in a 18.357 * [backup-simplify]: Simplify PI into PI 18.357 * [taylor]: Taking taylor expansion of (pow a 4) in a 18.357 * [taylor]: Taking taylor expansion of a in a 18.357 * [backup-simplify]: Simplify 0 into 0 18.357 * [backup-simplify]: Simplify 1 into 1 18.358 * [backup-simplify]: Simplify (* 1 1) into 1 18.358 * [backup-simplify]: Simplify (* 1 1) into 1 18.358 * [backup-simplify]: Simplify (/ PI 1) into PI 18.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.367 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.367 * [backup-simplify]: Simplify 0 into 0 18.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.371 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.372 * [backup-simplify]: Simplify (- 0) into 0 18.372 * [backup-simplify]: Simplify 0 into 0 18.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.375 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.375 * [backup-simplify]: Simplify 0 into 0 18.375 * [backup-simplify]: Simplify 0 into 0 18.377 * [backup-simplify]: Simplify (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ (/ 1 b) (/ 1 a))) (* 1.0 (- (/ 1 b) (/ 1 a)))) (* (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (* 0.5 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) 18.377 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.377 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in a 18.377 * [taylor]: Taking taylor expansion of 0.5 in a 18.377 * [backup-simplify]: Simplify 0.5 into 0.5 18.377 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in a 18.377 * [taylor]: Taking taylor expansion of (* a (* PI b)) in a 18.377 * [taylor]: Taking taylor expansion of a in a 18.377 * [backup-simplify]: Simplify 0 into 0 18.377 * [backup-simplify]: Simplify 1 into 1 18.377 * [taylor]: Taking taylor expansion of (* PI b) in a 18.377 * [taylor]: Taking taylor expansion of PI in a 18.377 * [backup-simplify]: Simplify PI into PI 18.377 * [taylor]: Taking taylor expansion of b in a 18.377 * [backup-simplify]: Simplify b into b 18.377 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.377 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.378 * [taylor]: Taking taylor expansion of a in a 18.378 * [backup-simplify]: Simplify 0 into 0 18.378 * [backup-simplify]: Simplify 1 into 1 18.378 * [backup-simplify]: Simplify (/ 1 1) into 1 18.378 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.378 * [taylor]: Taking taylor expansion of b in a 18.378 * [backup-simplify]: Simplify b into b 18.378 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.378 * [backup-simplify]: Simplify (* PI b) into (* b PI) 18.378 * [backup-simplify]: Simplify (* 0 (* b PI)) into 0 18.379 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 18.379 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* b PI))) into (* PI b) 18.380 * [backup-simplify]: Simplify (+ 1 0) into 1 18.380 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 18.380 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in b 18.380 * [taylor]: Taking taylor expansion of 0.5 in b 18.380 * [backup-simplify]: Simplify 0.5 into 0.5 18.380 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 18.380 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 18.380 * [taylor]: Taking taylor expansion of a in b 18.380 * [backup-simplify]: Simplify a into a 18.380 * [taylor]: Taking taylor expansion of (* PI b) in b 18.380 * [taylor]: Taking taylor expansion of PI in b 18.380 * [backup-simplify]: Simplify PI into PI 18.380 * [taylor]: Taking taylor expansion of b in b 18.380 * [backup-simplify]: Simplify 0 into 0 18.380 * [backup-simplify]: Simplify 1 into 1 18.380 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.380 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.380 * [taylor]: Taking taylor expansion of a in b 18.380 * [backup-simplify]: Simplify a into a 18.380 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.380 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.380 * [taylor]: Taking taylor expansion of b in b 18.381 * [backup-simplify]: Simplify 0 into 0 18.381 * [backup-simplify]: Simplify 1 into 1 18.381 * [backup-simplify]: Simplify (/ 1 1) into 1 18.381 * [backup-simplify]: Simplify (* PI 0) into 0 18.381 * [backup-simplify]: Simplify (* a 0) into 0 18.383 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 18.384 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 18.384 * [backup-simplify]: Simplify (+ 0 1) into 1 18.384 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 18.384 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b)))) in b 18.384 * [taylor]: Taking taylor expansion of 0.5 in b 18.384 * [backup-simplify]: Simplify 0.5 into 0.5 18.384 * [taylor]: Taking taylor expansion of (/ (* a (* PI b)) (+ (/ 1 a) (/ 1 b))) in b 18.384 * [taylor]: Taking taylor expansion of (* a (* PI b)) in b 18.384 * [taylor]: Taking taylor expansion of a in b 18.384 * [backup-simplify]: Simplify a into a 18.384 * [taylor]: Taking taylor expansion of (* PI b) in b 18.384 * [taylor]: Taking taylor expansion of PI in b 18.384 * [backup-simplify]: Simplify PI into PI 18.384 * [taylor]: Taking taylor expansion of b in b 18.384 * [backup-simplify]: Simplify 0 into 0 18.384 * [backup-simplify]: Simplify 1 into 1 18.384 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.384 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.384 * [taylor]: Taking taylor expansion of a in b 18.384 * [backup-simplify]: Simplify a into a 18.384 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.384 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.384 * [taylor]: Taking taylor expansion of b in b 18.384 * [backup-simplify]: Simplify 0 into 0 18.384 * [backup-simplify]: Simplify 1 into 1 18.385 * [backup-simplify]: Simplify (/ 1 1) into 1 18.385 * [backup-simplify]: Simplify (* PI 0) into 0 18.385 * [backup-simplify]: Simplify (* a 0) into 0 18.386 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 18.386 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 18.386 * [backup-simplify]: Simplify (+ 0 1) into 1 18.386 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 18.386 * [backup-simplify]: Simplify (* 0.5 (* a PI)) into (* 0.5 (* a PI)) 18.387 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 18.387 * [taylor]: Taking taylor expansion of 0.5 in a 18.387 * [backup-simplify]: Simplify 0.5 into 0.5 18.387 * [taylor]: Taking taylor expansion of (* a PI) in a 18.387 * [taylor]: Taking taylor expansion of a in a 18.387 * [backup-simplify]: Simplify 0 into 0 18.387 * [backup-simplify]: Simplify 1 into 1 18.387 * [taylor]: Taking taylor expansion of PI in a 18.387 * [backup-simplify]: Simplify PI into PI 18.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.388 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.388 * [backup-simplify]: Simplify (* 0 PI) into 0 18.389 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 18.389 * [backup-simplify]: Simplify 0 into 0 18.390 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 18.390 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 PI) (* 0 0))) into 0 18.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.391 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 18.392 * [backup-simplify]: Simplify (+ (* 0.5 (- PI)) (* 0 (* a PI))) into (- (* 0.5 PI)) 18.392 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 18.392 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 18.392 * [taylor]: Taking taylor expansion of 0.5 in a 18.392 * [backup-simplify]: Simplify 0.5 into 0.5 18.392 * [taylor]: Taking taylor expansion of PI in a 18.392 * [backup-simplify]: Simplify PI into PI 18.392 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.393 * [backup-simplify]: Simplify (- 0) into 0 18.393 * [backup-simplify]: Simplify 0 into 0 18.393 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.394 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.394 * [backup-simplify]: Simplify 0 into 0 18.395 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 18.395 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.396 * [backup-simplify]: Simplify (+ 0 0) into 0 18.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 18.398 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (* 0.5 (/ PI a)) 18.398 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 18.398 * [taylor]: Taking taylor expansion of 0.5 in a 18.398 * [backup-simplify]: Simplify 0.5 into 0.5 18.398 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.398 * [taylor]: Taking taylor expansion of PI in a 18.398 * [backup-simplify]: Simplify PI into PI 18.398 * [taylor]: Taking taylor expansion of a in a 18.398 * [backup-simplify]: Simplify 0 into 0 18.398 * [backup-simplify]: Simplify 1 into 1 18.399 * [backup-simplify]: Simplify (/ PI 1) into PI 18.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.404 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.404 * [backup-simplify]: Simplify 0 into 0 18.405 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.405 * [backup-simplify]: Simplify (- 0) into 0 18.405 * [backup-simplify]: Simplify 0 into 0 18.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.407 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 18.407 * [backup-simplify]: Simplify 0 into 0 18.407 * [backup-simplify]: Simplify 0 into 0 18.408 * [backup-simplify]: Simplify (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) (* (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) 18.408 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in (b a) around 0 18.408 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in a 18.408 * [taylor]: Taking taylor expansion of -0.5 in a 18.408 * [backup-simplify]: Simplify -0.5 into -0.5 18.408 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in a 18.408 * [taylor]: Taking taylor expansion of (* a (* b PI)) in a 18.408 * [taylor]: Taking taylor expansion of a in a 18.408 * [backup-simplify]: Simplify 0 into 0 18.408 * [backup-simplify]: Simplify 1 into 1 18.408 * [taylor]: Taking taylor expansion of (* b PI) in a 18.408 * [taylor]: Taking taylor expansion of b in a 18.408 * [backup-simplify]: Simplify b into b 18.408 * [taylor]: Taking taylor expansion of PI in a 18.408 * [backup-simplify]: Simplify PI into PI 18.408 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 18.408 * [taylor]: Taking taylor expansion of (/ 1 a) in a 18.408 * [taylor]: Taking taylor expansion of a in a 18.408 * [backup-simplify]: Simplify 0 into 0 18.408 * [backup-simplify]: Simplify 1 into 1 18.409 * [backup-simplify]: Simplify (/ 1 1) into 1 18.409 * [taylor]: Taking taylor expansion of (/ 1 b) in a 18.409 * [taylor]: Taking taylor expansion of b in a 18.409 * [backup-simplify]: Simplify b into b 18.409 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 18.409 * [backup-simplify]: Simplify (* b PI) into (* PI b) 18.409 * [backup-simplify]: Simplify (* 0 (* PI b)) into 0 18.409 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 18.410 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* PI b))) into (* b PI) 18.410 * [backup-simplify]: Simplify (+ 1 0) into 1 18.410 * [backup-simplify]: Simplify (/ (* b PI) 1) into (* b PI) 18.410 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 18.410 * [taylor]: Taking taylor expansion of -0.5 in b 18.410 * [backup-simplify]: Simplify -0.5 into -0.5 18.410 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 18.410 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 18.410 * [taylor]: Taking taylor expansion of a in b 18.410 * [backup-simplify]: Simplify a into a 18.410 * [taylor]: Taking taylor expansion of (* b PI) in b 18.410 * [taylor]: Taking taylor expansion of b in b 18.410 * [backup-simplify]: Simplify 0 into 0 18.410 * [backup-simplify]: Simplify 1 into 1 18.410 * [taylor]: Taking taylor expansion of PI in b 18.410 * [backup-simplify]: Simplify PI into PI 18.410 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.410 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.410 * [taylor]: Taking taylor expansion of a in b 18.410 * [backup-simplify]: Simplify a into a 18.410 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.410 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.410 * [taylor]: Taking taylor expansion of b in b 18.410 * [backup-simplify]: Simplify 0 into 0 18.410 * [backup-simplify]: Simplify 1 into 1 18.411 * [backup-simplify]: Simplify (/ 1 1) into 1 18.411 * [backup-simplify]: Simplify (* 0 PI) into 0 18.411 * [backup-simplify]: Simplify (* a 0) into 0 18.413 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.413 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 18.414 * [backup-simplify]: Simplify (+ 0 1) into 1 18.414 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 18.414 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b)))) in b 18.414 * [taylor]: Taking taylor expansion of -0.5 in b 18.414 * [backup-simplify]: Simplify -0.5 into -0.5 18.414 * [taylor]: Taking taylor expansion of (/ (* a (* b PI)) (+ (/ 1 a) (/ 1 b))) in b 18.414 * [taylor]: Taking taylor expansion of (* a (* b PI)) in b 18.414 * [taylor]: Taking taylor expansion of a in b 18.414 * [backup-simplify]: Simplify a into a 18.414 * [taylor]: Taking taylor expansion of (* b PI) in b 18.414 * [taylor]: Taking taylor expansion of b in b 18.414 * [backup-simplify]: Simplify 0 into 0 18.414 * [backup-simplify]: Simplify 1 into 1 18.414 * [taylor]: Taking taylor expansion of PI in b 18.414 * [backup-simplify]: Simplify PI into PI 18.414 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 18.414 * [taylor]: Taking taylor expansion of (/ 1 a) in b 18.414 * [taylor]: Taking taylor expansion of a in b 18.414 * [backup-simplify]: Simplify a into a 18.415 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 18.415 * [taylor]: Taking taylor expansion of (/ 1 b) in b 18.415 * [taylor]: Taking taylor expansion of b in b 18.415 * [backup-simplify]: Simplify 0 into 0 18.415 * [backup-simplify]: Simplify 1 into 1 18.415 * [backup-simplify]: Simplify (/ 1 1) into 1 18.416 * [backup-simplify]: Simplify (* 0 PI) into 0 18.416 * [backup-simplify]: Simplify (* a 0) into 0 18.417 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.418 * [backup-simplify]: Simplify (+ (* a PI) (* 0 0)) into (* a PI) 18.418 * [backup-simplify]: Simplify (+ 0 1) into 1 18.418 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 18.418 * [backup-simplify]: Simplify (* -0.5 (* a PI)) into (* -0.5 (* a PI)) 18.418 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 18.419 * [taylor]: Taking taylor expansion of -0.5 in a 18.419 * [backup-simplify]: Simplify -0.5 into -0.5 18.419 * [taylor]: Taking taylor expansion of (* a PI) in a 18.419 * [taylor]: Taking taylor expansion of a in a 18.419 * [backup-simplify]: Simplify 0 into 0 18.419 * [backup-simplify]: Simplify 1 into 1 18.419 * [taylor]: Taking taylor expansion of PI in a 18.419 * [backup-simplify]: Simplify PI into PI 18.420 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.421 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 18.422 * [backup-simplify]: Simplify (* 0 PI) into 0 18.423 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 18.423 * [backup-simplify]: Simplify 0 into 0 18.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 18.425 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 PI) (* 0 0))) into 0 18.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.426 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 18.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ (/ 1 a) 1)))) into (- PI) 18.427 * [backup-simplify]: Simplify (+ (* -0.5 (- PI)) (* 0 (* a PI))) into (* 0.5 PI) 18.427 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 18.427 * [taylor]: Taking taylor expansion of 0.5 in a 18.427 * [backup-simplify]: Simplify 0.5 into 0.5 18.427 * [taylor]: Taking taylor expansion of PI in a 18.427 * [backup-simplify]: Simplify PI into PI 18.428 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 18.428 * [backup-simplify]: Simplify 0 into 0 18.429 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.430 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.430 * [backup-simplify]: Simplify 0 into 0 18.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 18.431 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 18.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 18.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.432 * [backup-simplify]: Simplify (+ 0 0) into 0 18.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* a PI) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) 18.433 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* a PI)))) into (- (* 0.5 (/ PI a))) 18.433 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 18.433 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 18.433 * [taylor]: Taking taylor expansion of 0.5 in a 18.433 * [backup-simplify]: Simplify 0.5 into 0.5 18.433 * [taylor]: Taking taylor expansion of (/ PI a) in a 18.433 * [taylor]: Taking taylor expansion of PI in a 18.433 * [backup-simplify]: Simplify PI into PI 18.433 * [taylor]: Taking taylor expansion of a in a 18.433 * [backup-simplify]: Simplify 0 into 0 18.433 * [backup-simplify]: Simplify 1 into 1 18.434 * [backup-simplify]: Simplify (/ PI 1) into PI 18.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 18.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.436 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.436 * [backup-simplify]: Simplify (- 0) into 0 18.436 * [backup-simplify]: Simplify 0 into 0 18.437 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 18.437 * [backup-simplify]: Simplify 0 into 0 18.438 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 18.439 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 18.439 * [backup-simplify]: Simplify 0 into 0 18.439 * [backup-simplify]: Simplify 0 into 0 18.439 * * * [progress]: simplifying candidates 18.444 * [simplify]: Simplifying: (expm1 (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b))) (log1p (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b))) (- (+ (- (+ (- (log PI) (log 2.0)) (log 1.0)) (log (+ b a))) (+ (log 1.0) (log (- b a)))) (+ (log a) (log b))) (- (+ (- (+ (- (log PI) (log 2.0)) (log 1.0)) (log (+ b a))) (+ (log 1.0) (log (- b a)))) (log (* a b))) (- (+ (- (+ (- (log PI) (log 2.0)) (log 1.0)) (log (+ b a))) (log (* 1.0 (- b a)))) (+ (log a) (log b))) (- (+ (- (+ (- (log PI) (log 2.0)) (log 1.0)) (log (+ b a))) (log (* 1.0 (- b a)))) (log (* a b))) (- (+ (- (+ (log (/ PI 2.0)) (log 1.0)) (log (+ b a))) (+ (log 1.0) (log (- b a)))) (+ (log a) (log b))) (- (+ (- (+ (log (/ PI 2.0)) (log 1.0)) (log (+ b a))) (+ (log 1.0) (log (- b a)))) (log (* a b))) (- (+ (- (+ (log (/ PI 2.0)) (log 1.0)) (log (+ b a))) (log (* 1.0 (- b a)))) (+ (log a) (log b))) (- (+ (- (+ (log (/ PI 2.0)) (log 1.0)) (log (+ b a))) (log (* 1.0 (- b a)))) (log (* a b))) (- (+ (- (log (* (/ PI 2.0) 1.0)) (log (+ b a))) (+ (log 1.0) (log (- b a)))) (+ (log a) (log b))) (- (+ (- (log (* (/ PI 2.0) 1.0)) (log (+ b a))) (+ (log 1.0) (log (- b a)))) (log (* a b))) (- (+ (- (log (* (/ PI 2.0) 1.0)) (log (+ b a))) (log (* 1.0 (- b a)))) (+ (log a) (log b))) (- (+ (- (log (* (/ PI 2.0) 1.0)) (log (+ b a))) (log (* 1.0 (- b a)))) (log (* a b))) (- (+ (log (/ (* (/ PI 2.0) 1.0) (+ b a))) (+ (log 1.0) (log (- b a)))) (+ (log a) (log b))) (- (+ (log (/ (* (/ PI 2.0) 1.0) (+ b a))) (+ (log 1.0) (log (- b a)))) (log (* a b))) (- (+ (log (/ (* (/ PI 2.0) 1.0) (+ b a))) (log (* 1.0 (- b a)))) (+ (log a) (log b))) (- (+ (log (/ (* (/ PI 2.0) 1.0) (+ b a))) (log (* 1.0 (- b a)))) (log (* a b))) (- (log (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a)))) (+ (log a) (log b))) (- (log (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a)))) (log (* a b))) (log (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b))) (exp (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b))) (/ (* (/ (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* 1.0 1.0) 1.0)) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (* a a) a) (* (* b b) b))) 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-0.5 PI) (* 0.5 PI) (* 0.5 PI) 0 0 0 0 0 0 18.454 * * [simplify]: Extracting # 0 : cost 0 18.455 * * [simplify]: Extracting # 1 : cost 0 18.456 * * [simplify]: Extracting # 2 : cost 0 18.457 * * [simplify]: Extracting # 3 : cost 0 18.457 * * [simplify]: Extracting # 4 : cost 0 18.458 * * [simplify]: Extracting # 5 : cost 0 18.459 * * [simplify]: Extracting # 6 : cost 0 18.460 * * [simplify]: Extracting # 7 : cost 0 18.461 * * [simplify]: Extracting # 8 : cost 0 18.463 * * [simplify]: Extracting # 9 : cost 0 18.464 * * [simplify]: Extracting # 10 : cost 0 18.466 * * [simplify]: iteration 0 : 427 enodes (cost 8778 ) 18.678 * * [simplify]: Extracting # 0 : cost 0 18.682 * * [simplify]: Extracting # 1 : cost 0 18.686 * * [simplify]: Extracting # 2 : cost 0 18.689 * * [simplify]: Extracting # 3 : cost 0 18.693 * * [simplify]: Extracting # 4 : cost 0 18.696 * * [simplify]: Extracting # 5 : cost 0 18.699 * * [simplify]: iteration 1 : 1220 enodes (cost 8139 ) 19.736 * * [simplify]: Extracting # 0 : cost 0 19.757 * * [simplify]: Extracting # 1 : cost 0 19.763 * * [simplify]: Extracting # 2 : cost 0 19.769 * * [simplify]: Extracting # 3 : cost 0 19.775 * * [simplify]: Extracting # 4 : cost 0 19.780 * * [simplify]: Extracting # 5 : cost 0 19.786 * * [simplify]: iteration done: 5000 enodes (cost 6043 ) 19.789 * [simplify]: Simplified to: (expm1 (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b))) (log1p (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b))) (log (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) a) b)) (log (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) a) b)) (log (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) a) b)) (log (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) a) b)) (log (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) a) b)) (log (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) a) b)) (log (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) a) b)) (log (/ (/ (* (/ (* (/ PI 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b) (sqrt a))) (/ (/ 1 (* a b)) (- (sqrt b) (sqrt a))) (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (/ (/ 1 (* a b)) (- b a)) (/ 1 (- b a)) (/ (- b a) (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b))) (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b)) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b)) (sqrt (- b a))) (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) a) b) (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b)) (+ (sqrt b) (sqrt a))) (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) a) b) (/ (- b a) (cbrt (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b)))) (/ (- b a) (sqrt (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b)))) (/ (- b a) (/ (* 1.0 (- b a)) b)) (/ (- b a) (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b))) (* (* (- b a) a) b) (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* a b)) (- (pow b 3) (pow a 3))) (/ (/ (* (/ (* (/ PI 2.0) 1.0) (+ b a)) (* 1.0 (- b a))) (* 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 19.791 * * * [progress]: adding candidates to table 20.403 * [progress]: [Phase 3 of 3] Extracting. 20.404 * * [regime]: Finding splitpoints for: (# # # # # # # #) 20.410 * * * [regime-changes]: Trying 2 branch expressions: (b a) 20.410 * * * * [regimes]: Trying to branch on b from (# # # # # # # #) 20.450 * * * * [regimes]: Trying to branch on a from (# # # # # # # #) 20.492 * * * [regime]: Found split indices: #