17.003 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.079 * * * [progress]: [2/2] Setting up program. 0.083 * [progress]: [Phase 2 of 3] Improving. 0.083 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.083 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.083 * * [simplify]: iteration 1: (15 enodes) 0.086 * * [simplify]: iteration 2: (31 enodes) 0.098 * * [simplify]: iteration 3: (93 enodes) 0.158 * * [simplify]: iteration 4: (361 enodes) 0.533 * * [simplify]: iteration 5: (1403 enodes) 2.379 * * [simplify]: Extracting #0: cost 1 inf + 0 2.379 * * [simplify]: Extracting #1: cost 184 inf + 0 2.382 * * [simplify]: Extracting #2: cost 902 inf + 171 2.388 * * [simplify]: Extracting #3: cost 969 inf + 13915 2.433 * * [simplify]: Extracting #4: cost 272 inf + 128484 2.505 * * [simplify]: Extracting #5: cost 13 inf + 184931 2.581 * * [simplify]: Extracting #6: cost 0 inf + 188580 2.673 * [simplify]: Simplified to: (/ (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a)) (- b a)) 2.681 * * [progress]: iteration 1 / 4 2.681 * * * [progress]: picking best candidate 2.686 * * * * [pick]: Picked # 2.687 * * * [progress]: localizing error 2.724 * * * [progress]: generating rewritten candidates 2.724 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 3 1) 2.741 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 2.756 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.756 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 3) 2.771 * * * [progress]: generating series expansions 2.771 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 3 1) 2.772 * [backup-simplify]: Simplify (/ PI (* (+ a b) 2)) into (* 1/2 (/ PI (+ a b))) 2.772 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 2.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 2.772 * [taylor]: Taking taylor expansion of 1/2 in b 2.772 * [backup-simplify]: Simplify 1/2 into 1/2 2.772 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.772 * [taylor]: Taking taylor expansion of PI in b 2.772 * [backup-simplify]: Simplify PI into PI 2.772 * [taylor]: Taking taylor expansion of (+ a b) in b 2.772 * [taylor]: Taking taylor expansion of a in b 2.772 * [backup-simplify]: Simplify a into a 2.772 * [taylor]: Taking taylor expansion of b in b 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [backup-simplify]: Simplify (+ a 0) into a 2.772 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.772 * [taylor]: Taking taylor expansion of 1/2 in a 2.772 * [backup-simplify]: Simplify 1/2 into 1/2 2.772 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.772 * [taylor]: Taking taylor expansion of PI in a 2.772 * [backup-simplify]: Simplify PI into PI 2.772 * [taylor]: Taking taylor expansion of (+ a b) in a 2.772 * [taylor]: Taking taylor expansion of a in a 2.772 * [backup-simplify]: Simplify 0 into 0 2.772 * [backup-simplify]: Simplify 1 into 1 2.772 * [taylor]: Taking taylor expansion of b in a 2.772 * [backup-simplify]: Simplify b into b 2.772 * [backup-simplify]: Simplify (+ 0 b) into b 2.772 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.772 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.772 * [taylor]: Taking taylor expansion of 1/2 in a 2.772 * [backup-simplify]: Simplify 1/2 into 1/2 2.772 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.772 * [taylor]: Taking taylor expansion of PI in a 2.772 * [backup-simplify]: Simplify PI into PI 2.772 * [taylor]: Taking taylor expansion of (+ a b) 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 2.773 * [taylor]: Taking taylor expansion of b in a 2.773 * [backup-simplify]: Simplify b into b 2.773 * [backup-simplify]: Simplify (+ 0 b) into b 2.773 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.773 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.773 * [taylor]: Taking taylor expansion of 1/2 in b 2.773 * [backup-simplify]: Simplify 1/2 into 1/2 2.773 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.773 * [taylor]: Taking taylor expansion of PI in b 2.773 * [backup-simplify]: Simplify PI into PI 2.773 * [taylor]: Taking taylor expansion of b in b 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 1 into 1 2.773 * [backup-simplify]: Simplify (/ PI 1) into PI 2.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.774 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify (+ 1 0) into 1 2.775 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.775 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.775 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.775 * [taylor]: Taking taylor expansion of 1/2 in b 2.775 * [backup-simplify]: Simplify 1/2 into 1/2 2.775 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.775 * [taylor]: Taking taylor expansion of PI in b 2.775 * [backup-simplify]: Simplify PI into PI 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 2.776 * [backup-simplify]: Simplify (* 1 1) into 1 2.776 * [backup-simplify]: Simplify (/ PI 1) into PI 2.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.779 * [backup-simplify]: Simplify (- 0) into 0 2.779 * [backup-simplify]: Simplify 0 into 0 2.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.780 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify (+ 0 0) into 0 2.781 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.781 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.781 * [taylor]: Taking taylor expansion of 1/2 in b 2.781 * [backup-simplify]: Simplify 1/2 into 1/2 2.781 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.781 * [taylor]: Taking taylor expansion of PI in b 2.781 * [backup-simplify]: Simplify PI into PI 2.781 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.781 * [taylor]: Taking taylor expansion of b in b 2.781 * [backup-simplify]: Simplify 0 into 0 2.781 * [backup-simplify]: Simplify 1 into 1 2.781 * [backup-simplify]: Simplify (* 1 1) into 1 2.782 * [backup-simplify]: Simplify (* 1 1) into 1 2.782 * [backup-simplify]: Simplify (/ PI 1) into PI 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.790 * [backup-simplify]: Simplify (- 0) into 0 2.790 * [backup-simplify]: Simplify 0 into 0 2.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.792 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.792 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.792 * [taylor]: Taking taylor expansion of 1/2 in b 2.792 * [backup-simplify]: Simplify 1/2 into 1/2 2.792 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.792 * [taylor]: Taking taylor expansion of PI in b 2.792 * [backup-simplify]: Simplify PI into PI 2.792 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.792 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.792 * [taylor]: Taking taylor expansion of a in b 2.792 * [backup-simplify]: Simplify a into a 2.792 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.792 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.792 * [taylor]: Taking taylor expansion of b in b 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 1 into 1 2.792 * [backup-simplify]: Simplify (/ 1 1) into 1 2.793 * [backup-simplify]: Simplify (+ 0 1) into 1 2.793 * [backup-simplify]: Simplify (/ PI 1) into PI 2.793 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.793 * [taylor]: Taking taylor expansion of 1/2 in a 2.793 * [backup-simplify]: Simplify 1/2 into 1/2 2.793 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.793 * [taylor]: Taking taylor expansion of PI in a 2.793 * [backup-simplify]: Simplify PI into PI 2.793 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.793 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.793 * [taylor]: Taking taylor expansion of a in a 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.793 * [backup-simplify]: Simplify (/ 1 1) into 1 2.793 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.793 * [taylor]: Taking taylor expansion of b in a 2.793 * [backup-simplify]: Simplify b into b 2.794 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.794 * [backup-simplify]: Simplify (+ 1 0) into 1 2.794 * [backup-simplify]: Simplify (/ PI 1) into PI 2.794 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.794 * [taylor]: Taking taylor expansion of 1/2 in a 2.794 * [backup-simplify]: Simplify 1/2 into 1/2 2.794 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.794 * [taylor]: Taking taylor expansion of PI in a 2.794 * [backup-simplify]: Simplify PI into PI 2.794 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.794 * [taylor]: Taking taylor expansion of (/ 1 a) 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 2.795 * [backup-simplify]: Simplify (/ 1 1) into 1 2.795 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.795 * [taylor]: Taking taylor expansion of b in a 2.795 * [backup-simplify]: Simplify b into b 2.795 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.795 * [backup-simplify]: Simplify (+ 1 0) into 1 2.796 * [backup-simplify]: Simplify (/ PI 1) into PI 2.796 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.796 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.796 * [taylor]: Taking taylor expansion of 1/2 in b 2.796 * [backup-simplify]: Simplify 1/2 into 1/2 2.796 * [taylor]: Taking taylor expansion of PI in b 2.796 * [backup-simplify]: Simplify PI into PI 2.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.798 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.799 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.799 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.799 * [taylor]: Taking taylor expansion of 1/2 in b 2.799 * [backup-simplify]: Simplify 1/2 into 1/2 2.799 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.799 * [taylor]: Taking taylor expansion of PI in b 2.799 * [backup-simplify]: Simplify PI into PI 2.799 * [taylor]: Taking taylor expansion of b in b 2.799 * [backup-simplify]: Simplify 0 into 0 2.799 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (/ PI 1) into PI 2.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.803 * [backup-simplify]: Simplify (- 0) into 0 2.803 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.804 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.805 * [backup-simplify]: Simplify (+ 0 0) into 0 2.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.807 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.807 * [taylor]: Taking taylor expansion of 1/2 in b 2.808 * [backup-simplify]: Simplify 1/2 into 1/2 2.808 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.808 * [taylor]: Taking taylor expansion of PI in b 2.808 * [backup-simplify]: Simplify PI into PI 2.808 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.808 * [taylor]: Taking taylor expansion of b in b 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (* 1 1) into 1 2.809 * [backup-simplify]: Simplify (/ PI 1) into PI 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.820 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.823 * [backup-simplify]: Simplify (- 0) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.825 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.825 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.825 * [taylor]: Taking taylor expansion of -1/2 in b 2.825 * [backup-simplify]: Simplify -1/2 into -1/2 2.825 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.825 * [taylor]: Taking taylor expansion of PI in b 2.825 * [backup-simplify]: Simplify PI into PI 2.825 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.825 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.825 * [taylor]: Taking taylor expansion of a in b 2.825 * [backup-simplify]: Simplify a into a 2.825 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.825 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.825 * [taylor]: Taking taylor expansion of b in b 2.825 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (/ 1 1) into 1 2.826 * [backup-simplify]: Simplify (+ 0 1) into 1 2.826 * [backup-simplify]: Simplify (/ PI 1) into PI 2.826 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.826 * [taylor]: Taking taylor expansion of -1/2 in a 2.826 * [backup-simplify]: Simplify -1/2 into -1/2 2.826 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.826 * [taylor]: Taking taylor expansion of PI in a 2.826 * [backup-simplify]: Simplify PI into PI 2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.826 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.826 * [taylor]: Taking taylor expansion of a in a 2.826 * [backup-simplify]: Simplify 0 into 0 2.826 * [backup-simplify]: Simplify 1 into 1 2.827 * [backup-simplify]: Simplify (/ 1 1) into 1 2.827 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.827 * [taylor]: Taking taylor expansion of b in a 2.827 * [backup-simplify]: Simplify b into b 2.827 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.827 * [backup-simplify]: Simplify (+ 1 0) into 1 2.828 * [backup-simplify]: Simplify (/ PI 1) into PI 2.828 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.828 * [taylor]: Taking taylor expansion of -1/2 in a 2.828 * [backup-simplify]: Simplify -1/2 into -1/2 2.828 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.828 * [taylor]: Taking taylor expansion of PI in a 2.828 * [backup-simplify]: Simplify PI into PI 2.828 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.828 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.828 * [taylor]: Taking taylor expansion of a in a 2.828 * [backup-simplify]: Simplify 0 into 0 2.828 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (/ 1 1) into 1 2.829 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.829 * [taylor]: Taking taylor expansion of b in a 2.829 * [backup-simplify]: Simplify b into b 2.829 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.829 * [backup-simplify]: Simplify (+ 1 0) into 1 2.830 * [backup-simplify]: Simplify (/ PI 1) into PI 2.830 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 2.830 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 2.830 * [taylor]: Taking taylor expansion of -1/2 in b 2.830 * [backup-simplify]: Simplify -1/2 into -1/2 2.830 * [taylor]: Taking taylor expansion of PI in b 2.830 * [backup-simplify]: Simplify PI into PI 2.831 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.831 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.832 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 2.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.833 * [taylor]: Taking taylor expansion of 1/2 in b 2.833 * [backup-simplify]: Simplify 1/2 into 1/2 2.833 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.833 * [taylor]: Taking taylor expansion of PI in b 2.833 * [backup-simplify]: Simplify PI into PI 2.833 * [taylor]: Taking taylor expansion of b in b 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (/ PI 1) into PI 2.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.835 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.836 * [backup-simplify]: Simplify 0 into 0 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.836 * [backup-simplify]: Simplify (+ 0 0) into 0 2.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.838 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 2.838 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.838 * [taylor]: Taking taylor expansion of 1/2 in b 2.838 * [backup-simplify]: Simplify 1/2 into 1/2 2.838 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.838 * [taylor]: Taking taylor expansion of PI in b 2.838 * [backup-simplify]: Simplify PI into PI 2.838 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.838 * [taylor]: Taking taylor expansion of b in b 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.838 * [backup-simplify]: Simplify (* 1 1) into 1 2.838 * [backup-simplify]: Simplify (/ PI 1) into PI 2.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.843 * [backup-simplify]: Simplify (- 0) into 0 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.844 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 2.845 * [backup-simplify]: Simplify (/ PI (* (+ a b) 2)) into (* 1/2 (/ PI (+ a b))) 2.845 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 2.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 2.845 * [taylor]: Taking taylor expansion of 1/2 in b 2.845 * [backup-simplify]: Simplify 1/2 into 1/2 2.845 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.845 * [taylor]: Taking taylor expansion of PI in b 2.845 * [backup-simplify]: Simplify PI into PI 2.845 * [taylor]: Taking taylor expansion of (+ a b) in b 2.845 * [taylor]: Taking taylor expansion of a in b 2.845 * [backup-simplify]: Simplify a into a 2.845 * [taylor]: Taking taylor expansion of b in b 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 1 into 1 2.846 * [backup-simplify]: Simplify (+ a 0) into a 2.846 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.846 * [taylor]: Taking taylor expansion of 1/2 in a 2.846 * [backup-simplify]: Simplify 1/2 into 1/2 2.846 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.846 * [taylor]: Taking taylor expansion of PI in a 2.846 * [backup-simplify]: Simplify PI into PI 2.846 * [taylor]: Taking taylor expansion of (+ a b) in a 2.846 * [taylor]: Taking taylor expansion of a in a 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [taylor]: Taking taylor expansion of b in a 2.846 * [backup-simplify]: Simplify b into b 2.846 * [backup-simplify]: Simplify (+ 0 b) into b 2.846 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.846 * [taylor]: Taking taylor expansion of 1/2 in a 2.846 * [backup-simplify]: Simplify 1/2 into 1/2 2.846 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.846 * [taylor]: Taking taylor expansion of PI in a 2.846 * [backup-simplify]: Simplify PI into PI 2.846 * [taylor]: Taking taylor expansion of (+ a b) in a 2.846 * [taylor]: Taking taylor expansion of a in a 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.846 * [taylor]: Taking taylor expansion of b in a 2.846 * [backup-simplify]: Simplify b into b 2.846 * [backup-simplify]: Simplify (+ 0 b) into b 2.846 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.846 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.846 * [taylor]: Taking taylor expansion of 1/2 in b 2.846 * [backup-simplify]: Simplify 1/2 into 1/2 2.846 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.846 * [taylor]: Taking taylor expansion of PI in b 2.846 * [backup-simplify]: Simplify PI into PI 2.846 * [taylor]: Taking taylor expansion of b in b 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 1 into 1 2.847 * [backup-simplify]: Simplify (/ PI 1) into PI 2.847 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify (+ 1 0) into 1 2.848 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.848 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.848 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.848 * [taylor]: Taking taylor expansion of 1/2 in b 2.848 * [backup-simplify]: Simplify 1/2 into 1/2 2.848 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.848 * [taylor]: Taking taylor expansion of PI in b 2.848 * [backup-simplify]: Simplify PI into PI 2.848 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.848 * [taylor]: Taking taylor expansion of b in b 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.849 * [backup-simplify]: Simplify (* 1 1) into 1 2.849 * [backup-simplify]: Simplify (/ PI 1) into PI 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.852 * [backup-simplify]: Simplify (- 0) into 0 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify (+ 0 0) into 0 2.854 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.854 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.854 * [taylor]: Taking taylor expansion of 1/2 in b 2.854 * [backup-simplify]: Simplify 1/2 into 1/2 2.854 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.854 * [taylor]: Taking taylor expansion of PI in b 2.854 * [backup-simplify]: Simplify PI into PI 2.854 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.854 * [taylor]: Taking taylor expansion of b in b 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 1 into 1 2.854 * [backup-simplify]: Simplify (* 1 1) into 1 2.854 * [backup-simplify]: Simplify (* 1 1) into 1 2.855 * [backup-simplify]: Simplify (/ PI 1) into PI 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 2.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.865 * [backup-simplify]: Simplify (+ (* 1/2 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 2.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.868 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.868 * [taylor]: Taking taylor expansion of 1/2 in b 2.868 * [backup-simplify]: Simplify 1/2 into 1/2 2.868 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.868 * [taylor]: Taking taylor expansion of PI in b 2.868 * [backup-simplify]: Simplify PI into PI 2.868 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.868 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.868 * [taylor]: Taking taylor expansion of a in b 2.868 * [backup-simplify]: Simplify a into a 2.868 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.868 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.868 * [taylor]: Taking taylor expansion of b in b 2.868 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify 1 into 1 2.869 * [backup-simplify]: Simplify (/ 1 1) into 1 2.869 * [backup-simplify]: Simplify (+ 0 1) into 1 2.870 * [backup-simplify]: Simplify (/ PI 1) into PI 2.870 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.870 * [taylor]: Taking taylor expansion of 1/2 in a 2.870 * [backup-simplify]: Simplify 1/2 into 1/2 2.870 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) 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 a) (/ 1 b)) in a 2.870 * [taylor]: Taking taylor expansion of (/ 1 a) 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 2.870 * [backup-simplify]: Simplify (/ 1 1) into 1 2.870 * [taylor]: Taking taylor expansion of (/ 1 b) 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 (/ 1 b) into (/ 1 b) 2.871 * [backup-simplify]: Simplify (+ 1 0) into 1 2.871 * [backup-simplify]: Simplify (/ PI 1) into PI 2.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.871 * [taylor]: Taking taylor expansion of 1/2 in a 2.871 * [backup-simplify]: Simplify 1/2 into 1/2 2.871 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.871 * [taylor]: Taking taylor expansion of PI in a 2.871 * [backup-simplify]: Simplify PI into PI 2.871 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.871 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.871 * [taylor]: Taking taylor expansion of a in a 2.871 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 1 into 1 2.872 * [backup-simplify]: Simplify (/ 1 1) into 1 2.872 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.872 * [taylor]: Taking taylor expansion of b in a 2.872 * [backup-simplify]: Simplify b into b 2.872 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.872 * [backup-simplify]: Simplify (+ 1 0) into 1 2.873 * [backup-simplify]: Simplify (/ PI 1) into PI 2.873 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.874 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.874 * [taylor]: Taking taylor expansion of 1/2 in b 2.874 * [backup-simplify]: Simplify 1/2 into 1/2 2.874 * [taylor]: Taking taylor expansion of PI in b 2.874 * [backup-simplify]: Simplify PI into PI 2.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.874 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.876 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.877 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.877 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.877 * [taylor]: Taking taylor expansion of 1/2 in b 2.877 * [backup-simplify]: Simplify 1/2 into 1/2 2.877 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.877 * [taylor]: Taking taylor expansion of PI in b 2.877 * [backup-simplify]: Simplify PI into PI 2.877 * [taylor]: Taking taylor expansion of b in b 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [backup-simplify]: Simplify (/ PI 1) into PI 2.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.881 * [backup-simplify]: Simplify (- 0) into 0 2.881 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.882 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.883 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.885 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.886 * [taylor]: Taking taylor expansion of 1/2 in b 2.886 * [backup-simplify]: Simplify 1/2 into 1/2 2.886 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.886 * [taylor]: Taking taylor expansion of PI in b 2.886 * [backup-simplify]: Simplify PI into PI 2.886 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.886 * [taylor]: Taking taylor expansion of b in b 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [backup-simplify]: Simplify (* 1 1) into 1 2.887 * [backup-simplify]: Simplify (/ PI 1) into PI 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.892 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.894 * [backup-simplify]: Simplify (- 0) into 0 2.894 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.895 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.895 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.895 * [taylor]: Taking taylor expansion of -1/2 in b 2.895 * [backup-simplify]: Simplify -1/2 into -1/2 2.895 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.895 * [taylor]: Taking taylor expansion of PI in b 2.895 * [backup-simplify]: Simplify PI into PI 2.895 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.895 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.895 * [taylor]: Taking taylor expansion of a in b 2.895 * [backup-simplify]: Simplify a into a 2.895 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.895 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.895 * [taylor]: Taking taylor expansion of b in b 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 1 into 1 2.896 * [backup-simplify]: Simplify (/ 1 1) into 1 2.896 * [backup-simplify]: Simplify (+ 0 1) into 1 2.897 * [backup-simplify]: Simplify (/ PI 1) into PI 2.897 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.897 * [taylor]: Taking taylor expansion of -1/2 in a 2.897 * [backup-simplify]: Simplify -1/2 into -1/2 2.897 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.897 * [taylor]: Taking taylor expansion of PI in a 2.897 * [backup-simplify]: Simplify PI into PI 2.897 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.897 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.897 * [taylor]: Taking taylor expansion of a in a 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (/ 1 1) into 1 2.897 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.897 * [taylor]: Taking taylor expansion of b in a 2.897 * [backup-simplify]: Simplify b into b 2.897 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.897 * [backup-simplify]: Simplify (+ 1 0) into 1 2.898 * [backup-simplify]: Simplify (/ PI 1) into PI 2.898 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.898 * [taylor]: Taking taylor expansion of -1/2 in a 2.898 * [backup-simplify]: Simplify -1/2 into -1/2 2.898 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.898 * [taylor]: Taking taylor expansion of PI in a 2.898 * [backup-simplify]: Simplify PI into PI 2.898 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.898 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.898 * [taylor]: Taking taylor expansion of a in a 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [backup-simplify]: Simplify (/ 1 1) into 1 2.898 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.898 * [taylor]: Taking taylor expansion of b in a 2.898 * [backup-simplify]: Simplify b into b 2.898 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.898 * [backup-simplify]: Simplify (+ 1 0) into 1 2.899 * [backup-simplify]: Simplify (/ PI 1) into PI 2.899 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 2.899 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 2.899 * [taylor]: Taking taylor expansion of -1/2 in b 2.899 * [backup-simplify]: Simplify -1/2 into -1/2 2.899 * [taylor]: Taking taylor expansion of PI in b 2.899 * [backup-simplify]: Simplify PI into PI 2.900 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.900 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.901 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 2.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.901 * [taylor]: Taking taylor expansion of 1/2 in b 2.901 * [backup-simplify]: Simplify 1/2 into 1/2 2.901 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.901 * [taylor]: Taking taylor expansion of PI in b 2.901 * [backup-simplify]: Simplify PI into PI 2.901 * [taylor]: Taking taylor expansion of b in b 2.901 * [backup-simplify]: Simplify 0 into 0 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (/ PI 1) into PI 2.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.904 * [backup-simplify]: Simplify 0 into 0 2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.906 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 2.906 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.906 * [taylor]: Taking taylor expansion of 1/2 in b 2.906 * [backup-simplify]: Simplify 1/2 into 1/2 2.906 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.906 * [taylor]: Taking taylor expansion of PI in b 2.906 * [backup-simplify]: Simplify PI into PI 2.906 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.906 * [taylor]: Taking taylor expansion of b in b 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (* 1 1) into 1 2.907 * [backup-simplify]: Simplify (/ PI 1) into PI 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.910 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.911 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.911 * [backup-simplify]: Simplify (- 0) into 0 2.911 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.913 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.914 * [backup-simplify]: Simplify (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a)) into (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) 2.914 * [approximate]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in (a b) around 0 2.914 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in b 2.915 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 2.915 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in b 2.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 2.915 * [taylor]: Taking taylor expansion of 1/2 in b 2.915 * [backup-simplify]: Simplify 1/2 into 1/2 2.915 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.915 * [taylor]: Taking taylor expansion of PI in b 2.915 * [backup-simplify]: Simplify PI into PI 2.915 * [taylor]: Taking taylor expansion of (+ a b) in b 2.915 * [taylor]: Taking taylor expansion of a in b 2.915 * [backup-simplify]: Simplify a into a 2.915 * [taylor]: Taking taylor expansion of b in b 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (+ a 0) into a 2.915 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.915 * [taylor]: Taking taylor expansion of (/ -1 b) in b 2.915 * [taylor]: Taking taylor expansion of -1 in b 2.915 * [backup-simplify]: Simplify -1 into -1 2.915 * [taylor]: Taking taylor expansion of b in b 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (/ -1 1) into -1 2.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 2.915 * [taylor]: Taking taylor expansion of 1/2 in b 2.915 * [backup-simplify]: Simplify 1/2 into 1/2 2.915 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 2.915 * [taylor]: Taking taylor expansion of PI in b 2.915 * [backup-simplify]: Simplify PI into PI 2.915 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 2.915 * [taylor]: Taking taylor expansion of a in b 2.915 * [backup-simplify]: Simplify a into a 2.915 * [taylor]: Taking taylor expansion of (+ a b) in b 2.916 * [taylor]: Taking taylor expansion of a in b 2.916 * [backup-simplify]: Simplify a into a 2.916 * [taylor]: Taking taylor expansion of b in b 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify (+ a 0) into a 2.916 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.916 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 2.916 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in a 2.916 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 2.916 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in a 2.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.916 * [taylor]: Taking taylor expansion of 1/2 in a 2.916 * [backup-simplify]: Simplify 1/2 into 1/2 2.916 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.916 * [taylor]: Taking taylor expansion of PI in a 2.916 * [backup-simplify]: Simplify PI into PI 2.916 * [taylor]: Taking taylor expansion of (+ a b) in a 2.916 * [taylor]: Taking taylor expansion of a in a 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [taylor]: Taking taylor expansion of b in a 2.916 * [backup-simplify]: Simplify b into b 2.916 * [backup-simplify]: Simplify (+ 0 b) into b 2.916 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.916 * [taylor]: Taking taylor expansion of (/ -1 b) in a 2.916 * [taylor]: Taking taylor expansion of -1 in a 2.916 * [backup-simplify]: Simplify -1 into -1 2.916 * [taylor]: Taking taylor expansion of b in a 2.916 * [backup-simplify]: Simplify b into b 2.916 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 2.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 2.916 * [taylor]: Taking taylor expansion of 1/2 in a 2.916 * [backup-simplify]: Simplify 1/2 into 1/2 2.916 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 2.916 * [taylor]: Taking taylor expansion of PI in a 2.916 * [backup-simplify]: Simplify PI into PI 2.916 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 2.916 * [taylor]: Taking taylor expansion of a in a 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [taylor]: Taking taylor expansion of (+ a b) in a 2.916 * [taylor]: Taking taylor expansion of a in a 2.916 * [backup-simplify]: Simplify 0 into 0 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [taylor]: Taking taylor expansion of b in a 2.916 * [backup-simplify]: Simplify b into b 2.916 * [backup-simplify]: Simplify (+ 0 b) into b 2.916 * [backup-simplify]: Simplify (* 0 b) into 0 2.917 * [backup-simplify]: Simplify (+ 1 0) into 1 2.917 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 2.917 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.917 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in a 2.917 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 2.917 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in a 2.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.917 * [taylor]: Taking taylor expansion of 1/2 in a 2.917 * [backup-simplify]: Simplify 1/2 into 1/2 2.917 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.917 * [taylor]: Taking taylor expansion of PI in a 2.917 * [backup-simplify]: Simplify PI into PI 2.917 * [taylor]: Taking taylor expansion of (+ a b) in a 2.917 * [taylor]: Taking taylor expansion of a in a 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [taylor]: Taking taylor expansion of b in a 2.917 * [backup-simplify]: Simplify b into b 2.917 * [backup-simplify]: Simplify (+ 0 b) into b 2.917 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.917 * [taylor]: Taking taylor expansion of (/ -1 b) in a 2.917 * [taylor]: Taking taylor expansion of -1 in a 2.917 * [backup-simplify]: Simplify -1 into -1 2.917 * [taylor]: Taking taylor expansion of b in a 2.917 * [backup-simplify]: Simplify b into b 2.917 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 2.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 2.918 * [taylor]: Taking taylor expansion of 1/2 in a 2.918 * [backup-simplify]: Simplify 1/2 into 1/2 2.918 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) 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 (* a (+ a b)) in a 2.918 * [taylor]: Taking taylor expansion of a in a 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [taylor]: Taking taylor expansion of (+ a b) in a 2.918 * [taylor]: Taking taylor expansion of a in a 2.918 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify 1 into 1 2.918 * [taylor]: Taking taylor expansion of b in a 2.918 * [backup-simplify]: Simplify b into b 2.918 * [backup-simplify]: Simplify (+ 0 b) into b 2.918 * [backup-simplify]: Simplify (* 0 b) into 0 2.918 * [backup-simplify]: Simplify (+ 1 0) into 1 2.918 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 2.918 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.918 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.919 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ PI b))) into (* 1/2 (/ PI b)) 2.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.919 * [taylor]: Taking taylor expansion of 1/2 in b 2.919 * [backup-simplify]: Simplify 1/2 into 1/2 2.919 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.919 * [taylor]: Taking taylor expansion of PI in b 2.919 * [backup-simplify]: Simplify PI into PI 2.919 * [taylor]: Taking taylor expansion of b in b 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 1 into 1 2.919 * [backup-simplify]: Simplify (/ PI 1) into PI 2.920 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.920 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.920 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.920 * [backup-simplify]: Simplify (* (* 1/2 (/ PI b)) (/ -1 b)) into (* -1/2 (/ PI (pow b 2))) 2.921 * [backup-simplify]: Simplify (+ 0 0) into 0 2.921 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 2.922 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.922 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.922 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (- (* 1/2 (/ PI (pow b 2))))) into (- (/ PI (pow b 2))) 2.922 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 2.922 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.922 * [taylor]: Taking taylor expansion of PI in b 2.922 * [backup-simplify]: Simplify PI into PI 2.922 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.922 * [taylor]: Taking taylor expansion of b in b 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 1 into 1 2.923 * [backup-simplify]: Simplify (* 1 1) into 1 2.923 * [backup-simplify]: Simplify (/ PI 1) into PI 2.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (- 0) into 0 2.928 * [backup-simplify]: Simplify 0 into 0 2.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.930 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.930 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 2.930 * [backup-simplify]: Simplify (+ 1 0) into 1 2.931 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.931 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.931 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ PI b)) 0) (* (- (* 1/2 (/ PI (pow b 2)))) (/ -1 b))) into (* 1/2 (/ PI (pow b 3))) 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 2.933 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.933 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.934 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (* 1/2 (/ PI (pow b 3)))) into (/ PI (pow b 3)) 2.934 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.934 * [taylor]: Taking taylor expansion of PI in b 2.934 * [backup-simplify]: Simplify PI into PI 2.934 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.934 * [taylor]: Taking taylor expansion of b in b 2.934 * [backup-simplify]: Simplify 0 into 0 2.934 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (* 1 1) into 1 2.934 * [backup-simplify]: Simplify (* 1 1) into 1 2.935 * [backup-simplify]: Simplify (/ PI 1) into PI 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.942 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify (- 0) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.945 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.946 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.946 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) 0) (* (* 1/2 (/ PI (pow b 3))) (/ -1 b)))) into (- (* 1/2 (/ PI (pow b 4)))) 2.947 * [backup-simplify]: Simplify (+ 0 0) into 0 2.948 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 b))))) into 0 2.949 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) 2.949 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 4)))) (+ (* 0 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b))))) into (- (* 1/2 (/ PI (pow b 4)))) 2.949 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI (pow b 4)))) (- (* 1/2 (/ PI (pow b 4))))) into (- (/ PI (pow b 4))) 2.949 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 4))) in b 2.949 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 2.949 * [taylor]: Taking taylor expansion of PI in b 2.949 * [backup-simplify]: Simplify PI into PI 2.949 * [taylor]: Taking taylor expansion of (pow b 4) in b 2.949 * [taylor]: Taking taylor expansion of b in b 2.949 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify 1 into 1 2.950 * [backup-simplify]: Simplify (* 1 1) into 1 2.950 * [backup-simplify]: Simplify (* 1 1) into 1 2.951 * [backup-simplify]: Simplify (/ PI 1) into PI 2.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.959 * [backup-simplify]: Simplify (- 0) into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 2.960 * [backup-simplify]: Simplify (fma (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) (/ -1 (/ 1 b)) (/ (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 a))) into (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 2.960 * [approximate]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 2.960 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in b 2.960 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 2.960 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in b 2.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.960 * [taylor]: Taking taylor expansion of 1/2 in b 2.960 * [backup-simplify]: Simplify 1/2 into 1/2 2.960 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.960 * [taylor]: Taking taylor expansion of PI in b 2.960 * [backup-simplify]: Simplify PI into PI 2.960 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.960 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.960 * [taylor]: Taking taylor expansion of a in b 2.960 * [backup-simplify]: Simplify a into a 2.960 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.960 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.960 * [taylor]: Taking taylor expansion of b in b 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (/ 1 1) into 1 2.960 * [backup-simplify]: Simplify (+ 0 1) into 1 2.961 * [backup-simplify]: Simplify (/ PI 1) into PI 2.961 * [taylor]: Taking taylor expansion of (* -1 b) in b 2.961 * [taylor]: Taking taylor expansion of -1 in b 2.961 * [backup-simplify]: Simplify -1 into -1 2.961 * [taylor]: Taking taylor expansion of b in b 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 2.961 * [taylor]: Taking taylor expansion of 1/2 in b 2.961 * [backup-simplify]: Simplify 1/2 into 1/2 2.961 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 2.961 * [taylor]: Taking taylor expansion of (* a PI) in b 2.961 * [taylor]: Taking taylor expansion of a in b 2.961 * [backup-simplify]: Simplify a into a 2.961 * [taylor]: Taking taylor expansion of PI in b 2.961 * [backup-simplify]: Simplify PI into PI 2.961 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.961 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.961 * [taylor]: Taking taylor expansion of a in b 2.961 * [backup-simplify]: Simplify a into a 2.961 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.961 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.961 * [taylor]: Taking taylor expansion of b in b 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (/ 1 1) into 1 2.961 * [backup-simplify]: Simplify (* a PI) into (* a PI) 2.962 * [backup-simplify]: Simplify (+ 0 1) into 1 2.962 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 2.962 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 2.962 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 2.962 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in a 2.962 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.962 * [taylor]: Taking taylor expansion of 1/2 in a 2.962 * [backup-simplify]: Simplify 1/2 into 1/2 2.962 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.962 * [taylor]: Taking taylor expansion of PI in a 2.962 * [backup-simplify]: Simplify PI into PI 2.962 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.962 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.962 * [taylor]: Taking taylor expansion of a in a 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.962 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.962 * [taylor]: Taking taylor expansion of b in a 2.962 * [backup-simplify]: Simplify b into b 2.962 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.963 * [backup-simplify]: Simplify (+ 1 0) into 1 2.963 * [backup-simplify]: Simplify (/ PI 1) into PI 2.963 * [taylor]: Taking taylor expansion of (* -1 b) in a 2.963 * [taylor]: Taking taylor expansion of -1 in a 2.963 * [backup-simplify]: Simplify -1 into -1 2.963 * [taylor]: Taking taylor expansion of b in a 2.963 * [backup-simplify]: Simplify b into b 2.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.963 * [taylor]: Taking taylor expansion of 1/2 in a 2.963 * [backup-simplify]: Simplify 1/2 into 1/2 2.963 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.963 * [taylor]: Taking taylor expansion of (* a PI) in a 2.963 * [taylor]: Taking taylor expansion of a in a 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [taylor]: Taking taylor expansion of PI in a 2.963 * [backup-simplify]: Simplify PI into PI 2.963 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.963 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.963 * [taylor]: Taking taylor expansion of a in a 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [backup-simplify]: Simplify (/ 1 1) into 1 2.963 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.963 * [taylor]: Taking taylor expansion of b in a 2.964 * [backup-simplify]: Simplify b into b 2.964 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.964 * [backup-simplify]: Simplify (* 0 PI) into 0 2.965 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.965 * [backup-simplify]: Simplify (+ 1 0) into 1 2.965 * [backup-simplify]: Simplify (/ PI 1) into PI 2.965 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 2.965 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 2.965 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in a 2.965 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.966 * [taylor]: Taking taylor expansion of 1/2 in a 2.966 * [backup-simplify]: Simplify 1/2 into 1/2 2.966 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.966 * [taylor]: Taking taylor expansion of PI in a 2.966 * [backup-simplify]: Simplify PI into PI 2.966 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.966 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.966 * [taylor]: Taking taylor expansion of a in a 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (/ 1 1) into 1 2.966 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.966 * [taylor]: Taking taylor expansion of b in a 2.966 * [backup-simplify]: Simplify b into b 2.966 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.966 * [backup-simplify]: Simplify (+ 1 0) into 1 2.967 * [backup-simplify]: Simplify (/ PI 1) into PI 2.967 * [taylor]: Taking taylor expansion of (* -1 b) in a 2.967 * [taylor]: Taking taylor expansion of -1 in a 2.967 * [backup-simplify]: Simplify -1 into -1 2.967 * [taylor]: Taking taylor expansion of b in a 2.967 * [backup-simplify]: Simplify b into b 2.967 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 2.967 * [taylor]: Taking taylor expansion of 1/2 in a 2.967 * [backup-simplify]: Simplify 1/2 into 1/2 2.967 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 2.967 * [taylor]: Taking taylor expansion of (* a PI) in a 2.967 * [taylor]: Taking taylor expansion of a in a 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [taylor]: Taking taylor expansion of PI in a 2.967 * [backup-simplify]: Simplify PI into PI 2.967 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.967 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.967 * [taylor]: Taking taylor expansion of a in a 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [backup-simplify]: Simplify (/ 1 1) into 1 2.967 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.967 * [taylor]: Taking taylor expansion of b in a 2.967 * [backup-simplify]: Simplify b into b 2.967 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.968 * [backup-simplify]: Simplify (* 0 PI) into 0 2.968 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.969 * [backup-simplify]: Simplify (+ 1 0) into 1 2.969 * [backup-simplify]: Simplify (/ PI 1) into PI 2.969 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.969 * [backup-simplify]: Simplify (* -1 b) into (* -1 b) 2.970 * [backup-simplify]: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) 2.970 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 2.970 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI))) in b 2.970 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 2.970 * [taylor]: Taking taylor expansion of 1/2 in b 2.970 * [backup-simplify]: Simplify 1/2 into 1/2 2.970 * [taylor]: Taking taylor expansion of (* b PI) in b 2.970 * [taylor]: Taking taylor expansion of b in b 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.970 * [taylor]: Taking taylor expansion of PI in b 2.970 * [backup-simplify]: Simplify PI into PI 2.971 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.971 * [backup-simplify]: Simplify (* 0 PI) into 0 2.972 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 2.973 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.974 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 2.974 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 b)) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.975 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.976 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.976 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (* (- (* 1/2 (/ PI b))) (* -1 b))) into (* 1/2 PI) 2.976 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.977 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 1/2 PI)) into PI 2.977 * [taylor]: Taking taylor expansion of PI in b 2.977 * [backup-simplify]: Simplify PI into PI 2.977 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 2.979 * [backup-simplify]: Simplify (- 0) into 0 2.979 * [backup-simplify]: Simplify 0 into 0 2.979 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 b))) into 0 2.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.982 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.982 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 0) (* (* 1/2 (/ PI (pow b 2))) (* -1 b)))) into (- (* 1/2 (/ PI b))) 2.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.984 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.984 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI b))) (- (* 1/2 (/ PI b)))) into (- (/ PI b)) 2.984 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 2.984 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.984 * [taylor]: Taking taylor expansion of PI in b 2.984 * [backup-simplify]: Simplify PI into PI 2.984 * [taylor]: Taking taylor expansion of b in b 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.985 * [backup-simplify]: Simplify (/ PI 1) into PI 2.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.986 * [backup-simplify]: Simplify (- 0) into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.988 * [backup-simplify]: Simplify (- 0) into 0 2.988 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.991 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ 0 1)) (* (/ PI (pow b 2)) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 3))) 2.992 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (+ (* 0 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI)))) into (- (* 1/2 (/ PI (pow b 3)))) 2.993 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 0) (+ (* (* 1/2 (/ PI (pow b 2))) 0) (* (- (* 1/2 (/ PI (pow b 3)))) (* -1 b))))) into (* 1/2 (/ PI (pow b 2))) 2.994 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.996 * [backup-simplify]: Simplify (+ 0 0) into 0 2.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.998 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.998 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (* 1/2 (/ PI (pow b 2)))) into (/ PI (pow b 2)) 2.998 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.998 * [taylor]: Taking taylor expansion of PI in b 2.998 * [backup-simplify]: Simplify PI into PI 2.998 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.998 * [taylor]: Taking taylor expansion of b in b 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.998 * [backup-simplify]: Simplify (* 1 1) into 1 2.999 * [backup-simplify]: Simplify (/ PI 1) into PI 3.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.005 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) 3.006 * [backup-simplify]: Simplify (fma (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ -1 (/ 1 (- b))) (/ (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (- a)))) into (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 3.006 * [approximate]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 3.006 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in b 3.006 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 3.006 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in b 3.006 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 3.006 * [taylor]: Taking taylor expansion of -1/2 in b 3.007 * [backup-simplify]: Simplify -1/2 into -1/2 3.007 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 3.007 * [taylor]: Taking taylor expansion of PI in b 3.007 * [backup-simplify]: Simplify PI into PI 3.007 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 3.007 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.007 * [taylor]: Taking taylor expansion of a in b 3.007 * [backup-simplify]: Simplify a into a 3.007 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.007 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.007 * [taylor]: Taking taylor expansion of b in b 3.007 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify 1 into 1 3.007 * [backup-simplify]: Simplify (/ 1 1) into 1 3.008 * [backup-simplify]: Simplify (+ 0 1) into 1 3.008 * [backup-simplify]: Simplify (/ PI 1) into PI 3.008 * [taylor]: Taking taylor expansion of b in b 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 3.008 * [taylor]: Taking taylor expansion of 1/2 in b 3.008 * [backup-simplify]: Simplify 1/2 into 1/2 3.008 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 3.008 * [taylor]: Taking taylor expansion of (* a PI) in b 3.008 * [taylor]: Taking taylor expansion of a in b 3.009 * [backup-simplify]: Simplify a into a 3.009 * [taylor]: Taking taylor expansion of PI in b 3.009 * [backup-simplify]: Simplify PI into PI 3.009 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 3.009 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.009 * [taylor]: Taking taylor expansion of a in b 3.009 * [backup-simplify]: Simplify a into a 3.009 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.009 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.009 * [taylor]: Taking taylor expansion of b in b 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (/ 1 1) into 1 3.009 * [backup-simplify]: Simplify (* a PI) into (* a PI) 3.010 * [backup-simplify]: Simplify (+ 0 1) into 1 3.010 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 3.010 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 3.010 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 3.010 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in a 3.010 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 3.010 * [taylor]: Taking taylor expansion of -1/2 in a 3.010 * [backup-simplify]: Simplify -1/2 into -1/2 3.010 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 3.010 * [taylor]: Taking taylor expansion of PI in a 3.010 * [backup-simplify]: Simplify PI into PI 3.010 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 3.010 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.010 * [taylor]: Taking taylor expansion of a in a 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify 1 into 1 3.011 * [backup-simplify]: Simplify (/ 1 1) into 1 3.011 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.011 * [taylor]: Taking taylor expansion of b in a 3.011 * [backup-simplify]: Simplify b into b 3.011 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.011 * [backup-simplify]: Simplify (+ 1 0) into 1 3.012 * [backup-simplify]: Simplify (/ PI 1) into PI 3.012 * [taylor]: Taking taylor expansion of b in a 3.012 * [backup-simplify]: Simplify b into b 3.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 3.012 * [taylor]: Taking taylor expansion of 1/2 in a 3.012 * [backup-simplify]: Simplify 1/2 into 1/2 3.012 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 3.012 * [taylor]: Taking taylor expansion of (* a PI) in a 3.012 * [taylor]: Taking taylor expansion of a in a 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.012 * [taylor]: Taking taylor expansion of PI in a 3.012 * [backup-simplify]: Simplify PI into PI 3.012 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 3.012 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.012 * [taylor]: Taking taylor expansion of a in a 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 1 into 1 3.013 * [backup-simplify]: Simplify (/ 1 1) into 1 3.013 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.013 * [taylor]: Taking taylor expansion of b in a 3.013 * [backup-simplify]: Simplify b into b 3.013 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.013 * [backup-simplify]: Simplify (* 0 PI) into 0 3.015 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.015 * [backup-simplify]: Simplify (+ 1 0) into 1 3.016 * [backup-simplify]: Simplify (/ PI 1) into PI 3.016 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 3.016 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 3.016 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in a 3.016 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 3.016 * [taylor]: Taking taylor expansion of -1/2 in a 3.016 * [backup-simplify]: Simplify -1/2 into -1/2 3.016 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 3.016 * [taylor]: Taking taylor expansion of PI in a 3.016 * [backup-simplify]: Simplify PI into PI 3.016 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 3.016 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.016 * [taylor]: Taking taylor expansion of a in a 3.016 * [backup-simplify]: Simplify 0 into 0 3.016 * [backup-simplify]: Simplify 1 into 1 3.016 * [backup-simplify]: Simplify (/ 1 1) into 1 3.017 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.017 * [taylor]: Taking taylor expansion of b in a 3.017 * [backup-simplify]: Simplify b into b 3.017 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.017 * [backup-simplify]: Simplify (+ 1 0) into 1 3.018 * [backup-simplify]: Simplify (/ PI 1) into PI 3.018 * [taylor]: Taking taylor expansion of b in a 3.018 * [backup-simplify]: Simplify b into b 3.018 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 3.018 * [taylor]: Taking taylor expansion of 1/2 in a 3.018 * [backup-simplify]: Simplify 1/2 into 1/2 3.018 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 3.018 * [taylor]: Taking taylor expansion of (* a PI) in a 3.018 * [taylor]: Taking taylor expansion of a in a 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [taylor]: Taking taylor expansion of PI in a 3.018 * [backup-simplify]: Simplify PI into PI 3.018 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 3.018 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.018 * [taylor]: Taking taylor expansion of a in a 3.018 * [backup-simplify]: Simplify 0 into 0 3.018 * [backup-simplify]: Simplify 1 into 1 3.018 * [backup-simplify]: Simplify (/ 1 1) into 1 3.018 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.018 * [taylor]: Taking taylor expansion of b in a 3.018 * [backup-simplify]: Simplify b into b 3.019 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.019 * [backup-simplify]: Simplify (* 0 PI) into 0 3.020 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.021 * [backup-simplify]: Simplify (+ 1 0) into 1 3.021 * [backup-simplify]: Simplify (/ PI 1) into PI 3.022 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 3.022 * [backup-simplify]: Simplify (* (* -1/2 PI) b) into (* -1/2 (* b PI)) 3.023 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 3.023 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI))) in b 3.023 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 3.023 * [taylor]: Taking taylor expansion of 1/2 in b 3.023 * [backup-simplify]: Simplify 1/2 into 1/2 3.023 * [taylor]: Taking taylor expansion of (* b PI) in b 3.023 * [taylor]: Taking taylor expansion of b in b 3.023 * [backup-simplify]: Simplify 0 into 0 3.023 * [backup-simplify]: Simplify 1 into 1 3.023 * [taylor]: Taking taylor expansion of PI in b 3.023 * [backup-simplify]: Simplify PI into PI 3.024 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.024 * [backup-simplify]: Simplify (* 0 PI) into 0 3.025 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 3.026 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.026 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 3.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.027 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 3.028 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 3.028 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (* (* 1/2 (/ PI b)) b)) into (* 1/2 PI) 3.029 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.030 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 1/2 PI)) into PI 3.030 * [taylor]: Taking taylor expansion of PI in b 3.030 * [backup-simplify]: Simplify PI into PI 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.031 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 3.031 * [backup-simplify]: Simplify (- 0) into 0 3.031 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 3.032 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 3.033 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 3.034 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) 0) (* (- (* 1/2 (/ PI (pow b 2)))) b))) into (- (* 1/2 (/ PI b))) 3.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 3.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 3.036 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 3.036 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI b))) (- (* 1/2 (/ PI b)))) into (- (/ PI b)) 3.036 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 3.036 * [taylor]: Taking taylor expansion of (/ PI b) in b 3.036 * [taylor]: Taking taylor expansion of PI in b 3.036 * [backup-simplify]: Simplify PI into PI 3.036 * [taylor]: Taking taylor expansion of b in b 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 1 into 1 3.036 * [backup-simplify]: Simplify (/ PI 1) into PI 3.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.038 * [backup-simplify]: Simplify (- 0) into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.038 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.041 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 3.041 * [backup-simplify]: Simplify (- 0) into 0 3.041 * [backup-simplify]: Simplify 0 into 0 3.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 3.043 * [backup-simplify]: Simplify (+ 0 0) into 0 3.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ 0 1)) (* (/ PI (pow b 2)) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 3))) 3.044 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI (pow b 3)))) (+ (* 0 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI)))) into (* 1/2 (/ PI (pow b 3))) 3.045 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) 0) (* (* 1/2 (/ PI (pow b 3))) b)))) into (* 1/2 (/ PI (pow b 2))) 3.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 3.046 * [backup-simplify]: Simplify (+ 0 0) into 0 3.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 3.047 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 3.048 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (* 1/2 (/ PI (pow b 2)))) into (/ PI (pow b 2)) 3.048 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 3.048 * [taylor]: Taking taylor expansion of PI in b 3.048 * [backup-simplify]: Simplify PI into PI 3.048 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.048 * [taylor]: Taking taylor expansion of b in b 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 1 into 1 3.048 * [backup-simplify]: Simplify (* 1 1) into 1 3.048 * [backup-simplify]: Simplify (/ PI 1) into PI 3.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify 0 into 0 3.052 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) 3.052 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 3) 3.053 * [backup-simplify]: Simplify (/ (/ PI (* (+ a b) 2)) a) into (* 1/2 (/ PI (* a (+ a b)))) 3.053 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 3.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 3.053 * [taylor]: Taking taylor expansion of 1/2 in b 3.053 * [backup-simplify]: Simplify 1/2 into 1/2 3.053 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 3.053 * [taylor]: Taking taylor expansion of PI in b 3.053 * [backup-simplify]: Simplify PI into PI 3.053 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 3.053 * [taylor]: Taking taylor expansion of a in b 3.053 * [backup-simplify]: Simplify a into a 3.053 * [taylor]: Taking taylor expansion of (+ a b) in b 3.053 * [taylor]: Taking taylor expansion of a in b 3.053 * [backup-simplify]: Simplify a into a 3.053 * [taylor]: Taking taylor expansion of b in b 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.053 * [backup-simplify]: Simplify (+ a 0) into a 3.053 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.053 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 3.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 3.053 * [taylor]: Taking taylor expansion of 1/2 in a 3.053 * [backup-simplify]: Simplify 1/2 into 1/2 3.053 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 3.053 * [taylor]: Taking taylor expansion of PI in a 3.053 * [backup-simplify]: Simplify PI into PI 3.053 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 3.053 * [taylor]: Taking taylor expansion of a in a 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.053 * [taylor]: Taking taylor expansion of (+ a b) in a 3.053 * [taylor]: Taking taylor expansion of a in a 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.053 * [taylor]: Taking taylor expansion of b in a 3.053 * [backup-simplify]: Simplify b into b 3.053 * [backup-simplify]: Simplify (+ 0 b) into b 3.053 * [backup-simplify]: Simplify (* 0 b) into 0 3.054 * [backup-simplify]: Simplify (+ 1 0) into 1 3.054 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 3.054 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 3.054 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 3.054 * [taylor]: Taking taylor expansion of 1/2 in a 3.054 * [backup-simplify]: Simplify 1/2 into 1/2 3.054 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 3.054 * [taylor]: Taking taylor expansion of PI in a 3.054 * [backup-simplify]: Simplify PI into PI 3.054 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 3.054 * [taylor]: Taking taylor expansion of a in a 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of (+ a b) in a 3.054 * [taylor]: Taking taylor expansion of a in a 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of b in a 3.054 * [backup-simplify]: Simplify b into b 3.054 * [backup-simplify]: Simplify (+ 0 b) into b 3.054 * [backup-simplify]: Simplify (* 0 b) into 0 3.054 * [backup-simplify]: Simplify (+ 1 0) into 1 3.055 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 3.055 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 3.055 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 3.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 3.055 * [taylor]: Taking taylor expansion of 1/2 in b 3.055 * [backup-simplify]: Simplify 1/2 into 1/2 3.055 * [taylor]: Taking taylor expansion of (/ PI b) in b 3.055 * [taylor]: Taking taylor expansion of PI in b 3.055 * [backup-simplify]: Simplify PI into PI 3.055 * [taylor]: Taking taylor expansion of b in b 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 1 into 1 3.055 * [backup-simplify]: Simplify (/ PI 1) into PI 3.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 3.056 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify (+ 0 0) into 0 3.057 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 3.057 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 3.057 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 3.057 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 3.057 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 3.057 * [taylor]: Taking taylor expansion of 1/2 in b 3.057 * [backup-simplify]: Simplify 1/2 into 1/2 3.057 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 3.057 * [taylor]: Taking taylor expansion of PI in b 3.057 * [backup-simplify]: Simplify PI into PI 3.057 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.057 * [taylor]: Taking taylor expansion of b in b 3.057 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [backup-simplify]: Simplify (* 1 1) into 1 3.058 * [backup-simplify]: Simplify (/ PI 1) into PI 3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.061 * [backup-simplify]: Simplify (- 0) into 0 3.061 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.062 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.062 * [backup-simplify]: Simplify 0 into 0 3.062 * [backup-simplify]: Simplify (+ 0 0) into 0 3.064 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 3.064 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 3.064 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 3.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 3.064 * [taylor]: Taking taylor expansion of 1/2 in b 3.064 * [backup-simplify]: Simplify 1/2 into 1/2 3.064 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 3.065 * [taylor]: Taking taylor expansion of PI in b 3.065 * [backup-simplify]: Simplify PI into PI 3.065 * [taylor]: Taking taylor expansion of (pow b 3) in b 3.065 * [taylor]: Taking taylor expansion of b in b 3.065 * [backup-simplify]: Simplify 0 into 0 3.065 * [backup-simplify]: Simplify 1 into 1 3.065 * [backup-simplify]: Simplify (* 1 1) into 1 3.065 * [backup-simplify]: Simplify (* 1 1) into 1 3.066 * [backup-simplify]: Simplify (/ PI 1) into PI 3.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.075 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.075 * [backup-simplify]: Simplify 0 into 0 3.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.079 * [backup-simplify]: Simplify (- 0) into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify (/ (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 3.082 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 3.082 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 3.082 * [taylor]: Taking taylor expansion of 1/2 in b 3.082 * [backup-simplify]: Simplify 1/2 into 1/2 3.082 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 3.082 * [taylor]: Taking taylor expansion of (* a PI) in b 3.082 * [taylor]: Taking taylor expansion of a in b 3.082 * [backup-simplify]: Simplify a into a 3.082 * [taylor]: Taking taylor expansion of PI in b 3.082 * [backup-simplify]: Simplify PI into PI 3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 3.082 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.082 * [taylor]: Taking taylor expansion of a in b 3.082 * [backup-simplify]: Simplify a into a 3.082 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.082 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.083 * [taylor]: Taking taylor expansion of b in b 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (/ 1 1) into 1 3.083 * [backup-simplify]: Simplify (* a PI) into (* a PI) 3.084 * [backup-simplify]: Simplify (+ 0 1) into 1 3.084 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 3.084 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 3.084 * [taylor]: Taking taylor expansion of 1/2 in a 3.084 * [backup-simplify]: Simplify 1/2 into 1/2 3.084 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 3.084 * [taylor]: Taking taylor expansion of (* a PI) in a 3.084 * [taylor]: Taking taylor expansion of a in a 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [taylor]: Taking taylor expansion of PI in a 3.084 * [backup-simplify]: Simplify PI into PI 3.084 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 3.084 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.084 * [taylor]: Taking taylor expansion of a in a 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [backup-simplify]: Simplify (/ 1 1) into 1 3.085 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.085 * [taylor]: Taking taylor expansion of b in a 3.085 * [backup-simplify]: Simplify b into b 3.085 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.085 * [backup-simplify]: Simplify (* 0 PI) into 0 3.087 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.087 * [backup-simplify]: Simplify (+ 1 0) into 1 3.088 * [backup-simplify]: Simplify (/ PI 1) into PI 3.088 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 3.088 * [taylor]: Taking taylor expansion of 1/2 in a 3.088 * [backup-simplify]: Simplify 1/2 into 1/2 3.088 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 3.088 * [taylor]: Taking taylor expansion of (* a PI) in a 3.088 * [taylor]: Taking taylor expansion of a in a 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [taylor]: Taking taylor expansion of PI in a 3.088 * [backup-simplify]: Simplify PI into PI 3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 3.088 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.088 * [taylor]: Taking taylor expansion of a in a 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (/ 1 1) into 1 3.088 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.088 * [taylor]: Taking taylor expansion of b in a 3.088 * [backup-simplify]: Simplify b into b 3.089 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.089 * [backup-simplify]: Simplify (* 0 PI) into 0 3.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.091 * [backup-simplify]: Simplify (+ 1 0) into 1 3.092 * [backup-simplify]: Simplify (/ PI 1) into PI 3.092 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.092 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 3.092 * [taylor]: Taking taylor expansion of 1/2 in b 3.092 * [backup-simplify]: Simplify 1/2 into 1/2 3.092 * [taylor]: Taking taylor expansion of PI in b 3.093 * [backup-simplify]: Simplify PI into PI 3.093 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 3.093 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 3.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 3.097 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 3.097 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 3.097 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 3.097 * [taylor]: Taking taylor expansion of 1/2 in b 3.097 * [backup-simplify]: Simplify 1/2 into 1/2 3.097 * [taylor]: Taking taylor expansion of (/ PI b) in b 3.097 * [taylor]: Taking taylor expansion of PI in b 3.097 * [backup-simplify]: Simplify PI into PI 3.097 * [taylor]: Taking taylor expansion of b in b 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 1 into 1 3.097 * [backup-simplify]: Simplify (/ PI 1) into PI 3.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.100 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.101 * [backup-simplify]: Simplify (- 0) into 0 3.101 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.102 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 3.105 * [backup-simplify]: Simplify (+ 0 0) into 0 3.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 3.106 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 3.107 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 3.107 * [taylor]: Taking taylor expansion of 1/2 in b 3.107 * [backup-simplify]: Simplify 1/2 into 1/2 3.107 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 3.107 * [taylor]: Taking taylor expansion of PI in b 3.107 * [backup-simplify]: Simplify PI into PI 3.107 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.107 * [taylor]: Taking taylor expansion of b in b 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 1 into 1 3.107 * [backup-simplify]: Simplify (* 1 1) into 1 3.108 * [backup-simplify]: Simplify (/ PI 1) into PI 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.115 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.117 * [backup-simplify]: Simplify (- 0) into 0 3.117 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (/ (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 3.119 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 3.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 3.119 * [taylor]: Taking taylor expansion of 1/2 in b 3.119 * [backup-simplify]: Simplify 1/2 into 1/2 3.119 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 3.119 * [taylor]: Taking taylor expansion of (* a PI) in b 3.119 * [taylor]: Taking taylor expansion of a in b 3.119 * [backup-simplify]: Simplify a into a 3.119 * [taylor]: Taking taylor expansion of PI in b 3.119 * [backup-simplify]: Simplify PI into PI 3.119 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 3.119 * [taylor]: Taking taylor expansion of (/ 1 a) in b 3.119 * [taylor]: Taking taylor expansion of a in b 3.119 * [backup-simplify]: Simplify a into a 3.119 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 3.119 * [taylor]: Taking taylor expansion of (/ 1 b) in b 3.119 * [taylor]: Taking taylor expansion of b in b 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify (/ 1 1) into 1 3.120 * [backup-simplify]: Simplify (* a PI) into (* a PI) 3.120 * [backup-simplify]: Simplify (+ 0 1) into 1 3.120 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 3.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 3.120 * [taylor]: Taking taylor expansion of 1/2 in a 3.120 * [backup-simplify]: Simplify 1/2 into 1/2 3.120 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 3.120 * [taylor]: Taking taylor expansion of (* a PI) in a 3.120 * [taylor]: Taking taylor expansion of a in a 3.120 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [taylor]: Taking taylor expansion of PI in a 3.121 * [backup-simplify]: Simplify PI into PI 3.121 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 3.121 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.121 * [taylor]: Taking taylor expansion of a in a 3.121 * [backup-simplify]: Simplify 0 into 0 3.121 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (/ 1 1) into 1 3.121 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.121 * [taylor]: Taking taylor expansion of b in a 3.121 * [backup-simplify]: Simplify b into b 3.121 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.122 * [backup-simplify]: Simplify (* 0 PI) into 0 3.123 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.124 * [backup-simplify]: Simplify (+ 1 0) into 1 3.124 * [backup-simplify]: Simplify (/ PI 1) into PI 3.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 3.124 * [taylor]: Taking taylor expansion of 1/2 in a 3.124 * [backup-simplify]: Simplify 1/2 into 1/2 3.124 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 3.124 * [taylor]: Taking taylor expansion of (* a PI) in a 3.124 * [taylor]: Taking taylor expansion of a in a 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 1 into 1 3.124 * [taylor]: Taking taylor expansion of PI in a 3.124 * [backup-simplify]: Simplify PI into PI 3.125 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 3.125 * [taylor]: Taking taylor expansion of (/ 1 a) in a 3.125 * [taylor]: Taking taylor expansion of a in a 3.125 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify 1 into 1 3.125 * [backup-simplify]: Simplify (/ 1 1) into 1 3.125 * [taylor]: Taking taylor expansion of (/ 1 b) in a 3.125 * [taylor]: Taking taylor expansion of b in a 3.125 * [backup-simplify]: Simplify b into b 3.125 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 3.126 * [backup-simplify]: Simplify (* 0 PI) into 0 3.127 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 3.128 * [backup-simplify]: Simplify (+ 1 0) into 1 3.128 * [backup-simplify]: Simplify (/ PI 1) into PI 3.129 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 3.129 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 3.129 * [taylor]: Taking taylor expansion of 1/2 in b 3.129 * [backup-simplify]: Simplify 1/2 into 1/2 3.129 * [taylor]: Taking taylor expansion of PI in b 3.129 * [backup-simplify]: Simplify PI into PI 3.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 3.130 * [backup-simplify]: Simplify 0 into 0 3.131 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 3.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.132 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 3.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 3.133 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 3.133 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 3.133 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 3.133 * [taylor]: Taking taylor expansion of 1/2 in b 3.133 * [backup-simplify]: Simplify 1/2 into 1/2 3.133 * [taylor]: Taking taylor expansion of (/ PI b) in b 3.133 * [taylor]: Taking taylor expansion of PI in b 3.133 * [backup-simplify]: Simplify PI into PI 3.133 * [taylor]: Taking taylor expansion of b in b 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify 1 into 1 3.134 * [backup-simplify]: Simplify (/ PI 1) into PI 3.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.137 * [backup-simplify]: Simplify (- 0) into 0 3.137 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 3.138 * [backup-simplify]: Simplify 0 into 0 3.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 3.141 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 3.143 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 3.143 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 3.143 * [taylor]: Taking taylor expansion of 1/2 in b 3.143 * [backup-simplify]: Simplify 1/2 into 1/2 3.143 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 3.143 * [taylor]: Taking taylor expansion of PI in b 3.143 * [backup-simplify]: Simplify PI into PI 3.143 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.143 * [taylor]: Taking taylor expansion of b in b 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 1 into 1 3.144 * [backup-simplify]: Simplify (* 1 1) into 1 3.144 * [backup-simplify]: Simplify (/ PI 1) into PI 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.154 * [backup-simplify]: Simplify (- 0) into 0 3.154 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * [backup-simplify]: Simplify 0 into 0 3.156 * * * [progress]: simplifying candidates 3.156 * * * * [progress]: [ 1 / 130 ] simplifiying candidate # 3.156 * * * * [progress]: [ 2 / 130 ] simplifiying candidate # 3.156 * * * * [progress]: [ 3 / 130 ] simplifiying candidate # 3.156 * * * * [progress]: [ 4 / 130 ] simplifiying candidate # 3.156 * * * * [progress]: [ 5 / 130 ] simplifiying candidate # 3.156 * * * * [progress]: [ 6 / 130 ] simplifiying candidate # 3.156 * * * * [progress]: [ 7 / 130 ] simplifiying candidate # 3.156 * * * * [progress]: [ 8 / 130 ] simplifiying candidate # 3.156 * * * * [progress]: [ 9 / 130 ] simplifiying candidate # 3.156 * * * * [progress]: [ 10 / 130 ] simplifiying candidate # 3.156 * * * * [progress]: [ 11 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 12 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 13 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 14 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 15 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 16 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 17 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 18 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 19 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 20 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 21 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 22 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 23 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 24 / 130 ] simplifiying candidate # 3.157 * * * * [progress]: [ 25 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 26 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 27 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 28 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 29 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 30 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 31 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 32 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 33 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 34 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 35 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 36 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 37 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 38 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 39 / 130 ] simplifiying candidate # 3.158 * * * * [progress]: [ 40 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 41 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 42 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 43 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 44 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 45 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 46 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 47 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 48 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 49 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 50 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 51 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 52 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 53 / 130 ] simplifiying candidate # 3.159 * * * * [progress]: [ 54 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 55 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 56 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 57 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 58 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 59 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 60 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 61 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 62 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 63 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 64 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 65 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 66 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 67 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 68 / 130 ] simplifiying candidate # 3.160 * * * * [progress]: [ 69 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 70 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 71 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 72 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 73 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 74 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 75 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 76 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 77 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 78 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 79 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 80 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 81 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 82 / 130 ] simplifiying candidate # 3.161 * * * * [progress]: [ 83 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 84 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 85 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 86 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 87 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 88 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 89 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 90 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 91 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 92 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 93 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 94 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 95 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 96 / 130 ] simplifiying candidate # 3.162 * * * * [progress]: [ 97 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 98 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 99 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 100 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 101 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 102 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 103 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 104 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 105 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 106 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 107 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 108 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 109 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 110 / 130 ] simplifiying candidate # 3.163 * * * * [progress]: [ 111 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 112 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 113 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 114 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 115 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 116 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 117 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 118 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 119 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 120 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 121 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 122 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 123 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 124 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 125 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 126 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 127 / 130 ] simplifiying candidate # 3.164 * * * * [progress]: [ 128 / 130 ] simplifiying candidate # 3.165 * * * * [progress]: [ 129 / 130 ] simplifiying candidate # 3.165 * * * * [progress]: [ 130 / 130 ] simplifiying candidate # 3.167 * [simplify]: Simplifying: (expm1 (/ PI (* (+ a b) 2))) (log1p (/ PI (* (+ a b) 2))) (- (log PI) (+ (log (+ a b)) (log 2))) (- (log PI) (log (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (exp (/ PI (* (+ a b) 2))) (/ (* (* PI PI) PI) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2))) (/ (* (* PI PI) PI) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (cbrt (/ PI (* (+ a b) 2))) (* (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2))) (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (- PI) (- (* (+ a b) 2)) (/ (* (cbrt PI) (cbrt PI)) (+ a b)) (/ (cbrt PI) 2) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 2) (/ 1 (+ a b)) (/ PI 2) (/ 1 (* (+ a b) 2)) (/ (* (+ a b) 2) PI) (/ PI (+ a b)) (/ (* (+ a b) 2) (cbrt PI)) (/ (* (+ a b) 2) (sqrt PI)) (/ (* (+ a b) 2) PI) (/ PI (* (+ (pow a 3) (pow b 3)) 2)) (/ PI (* (- (* a a) (* b b)) 2)) (expm1 (/ PI (* (+ a b) 2))) (log1p (/ PI (* (+ a b) 2))) (- (log PI) (+ (log (+ a b)) (log 2))) (- (log PI) (log (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (exp (/ PI (* (+ a b) 2))) (/ (* (* PI PI) PI) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2))) (/ (* (* PI PI) PI) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (cbrt (/ PI (* (+ a b) 2))) (* (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2))) (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (- PI) (- (* (+ a b) 2)) (/ (* (cbrt PI) (cbrt PI)) (+ a b)) (/ (cbrt PI) 2) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 2) (/ 1 (+ a b)) (/ PI 2) (/ 1 (* (+ a b) 2)) (/ (* (+ a b) 2) PI) (/ PI (+ a b)) (/ (* (+ a b) 2) (cbrt PI)) (/ (* (+ a b) 2) (sqrt PI)) (/ (* (+ a b) 2) PI) (/ PI (* (+ (pow a 3) (pow b 3)) 2)) (/ PI (* (- (* a a) (* b b)) 2)) (expm1 (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (log1p (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (* (/ PI (* (+ a b) 2)) (/ -1 b)) (log (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (exp (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (* (cbrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (cbrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a)))) (cbrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (* (* (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a)) (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (sqrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (sqrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (expm1 (/ (/ PI (* (+ a b) 2)) a)) (log1p (/ (/ PI (* (+ a b) 2)) a)) (- (- (log PI) (+ (log (+ a b)) (log 2))) (log a)) (- (- (log PI) (log (* (+ a b) 2))) (log a)) (- (log (/ PI (* (+ a b) 2))) (log a)) (log (/ (/ PI (* (+ a b) 2)) a)) (exp (/ (/ PI (* (+ a b) 2)) a)) (/ (/ (* (* PI PI) PI) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2))) (* (* a a) a)) (/ (/ (* (* PI PI) PI) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (* a a) a)) (/ (* (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2))) (/ PI (* (+ a b) 2))) (* (* a a) a)) (* (cbrt (/ (/ PI (* (+ a b) 2)) a)) (cbrt (/ (/ PI (* (+ a b) 2)) a))) (cbrt (/ (/ PI (* (+ a b) 2)) a)) (* (* (/ (/ PI (* (+ a b) 2)) a) (/ (/ PI (* (+ a b) 2)) a)) (/ (/ PI (* (+ a b) 2)) a)) (sqrt (/ (/ PI (* (+ a b) 2)) a)) (sqrt (/ (/ PI (* (+ a b) 2)) a)) (- (/ PI (* (+ a b) 2))) (- a) (/ (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (* (cbrt a) (cbrt a))) (/ (cbrt (/ PI (* (+ a b) 2))) (cbrt a)) (/ (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (sqrt a)) (/ (cbrt (/ PI (* (+ a b) 2))) (sqrt a)) (/ (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) 1) (/ (cbrt (/ PI (* (+ a b) 2))) a) (/ (sqrt (/ PI (* (+ a b) 2))) (* (cbrt a) (cbrt a))) (/ (sqrt (/ PI (* (+ a b) 2))) (cbrt a)) (/ (sqrt (/ PI (* (+ a b) 2))) (sqrt a)) (/ (sqrt (/ PI (* (+ a b) 2))) (sqrt a)) (/ (sqrt (/ PI (* (+ a b) 2))) 1) (/ (sqrt (/ PI (* (+ a b) 2))) a) (/ (/ (* (cbrt PI) (cbrt PI)) (+ a b)) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) 2) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (+ a b)) (sqrt a)) (/ (/ (cbrt PI) 2) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (+ a b)) 1) (/ (/ (cbrt PI) 2) a) (/ (/ (sqrt PI) (+ a b)) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) 2) (cbrt a)) (/ (/ (sqrt PI) (+ a b)) (sqrt a)) (/ (/ (sqrt PI) 2) (sqrt a)) (/ (/ (sqrt PI) (+ a b)) 1) (/ (/ (sqrt PI) 2) a) (/ (/ 1 (+ a b)) (* (cbrt a) (cbrt a))) (/ (/ PI 2) (cbrt a)) (/ (/ 1 (+ a b)) (sqrt a)) (/ (/ PI 2) (sqrt a)) (/ (/ 1 (+ a b)) 1) (/ (/ PI 2) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (/ PI (* (+ a b) 2)) (cbrt a)) (/ 1 (sqrt a)) (/ (/ PI (* (+ a b) 2)) (sqrt a)) (/ 1 1) (/ (/ PI (* (+ a b) 2)) a) (/ PI (* (cbrt a) (cbrt a))) (/ (/ 1 (* (+ a b) 2)) (cbrt a)) (/ PI (sqrt a)) (/ (/ 1 (* (+ a b) 2)) (sqrt a)) (/ PI 1) (/ (/ 1 (* (+ a b) 2)) a) (/ (/ PI (* (+ (pow a 3) (pow b 3)) 2)) (* (cbrt a) (cbrt a))) (/ (+ (* a a) (- (* b b) (* a b))) (cbrt a)) (/ (/ PI (* (+ (pow a 3) (pow b 3)) 2)) (sqrt a)) (/ (+ (* a a) (- (* b b) (* a b))) (sqrt a)) (/ (/ PI (* (+ (pow a 3) (pow b 3)) 2)) 1) (/ (+ (* a a) (- (* b b) (* a b))) a) (/ (/ PI (* (- (* a a) (* b b)) 2)) (* (cbrt a) (cbrt a))) (/ (- a b) (cbrt a)) (/ (/ PI (* (- (* a a) (* b b)) 2)) (sqrt a)) (/ (- a b) (sqrt a)) (/ (/ PI (* (- (* a a) (* b b)) 2)) 1) (/ (- a b) a) (/ 1 a) (/ a (/ PI (* (+ a b) 2))) (/ (/ PI (* (+ a b) 2)) (* (cbrt a) (cbrt a))) (/ (/ PI (* (+ a b) 2)) (sqrt a)) (/ (/ PI (* (+ a b) 2)) 1) (/ a (cbrt (/ PI (* (+ a b) 2)))) (/ a (sqrt (/ PI (* (+ a b) 2)))) (/ a (/ (cbrt PI) 2)) (/ a (/ (sqrt PI) 2)) (/ a (/ PI 2)) (/ a (/ PI (* (+ a b) 2))) (/ a (/ 1 (* (+ a b) 2))) (/ a (+ (* a a) (- (* b b) (* a b)))) (/ a (- a b)) (* a (* (+ a b) 2)) 0 0 0 0 0 0 (* 1/2 (/ PI (* a b))) (* -1/2 (/ PI (* a b))) (* -1/2 (/ PI (* a b))) 0 0 0 3.170 * * [simplify]: iteration 1: (173 enodes) 3.214 * * [simplify]: iteration 2: (412 enodes) 3.392 * * [simplify]: iteration 3: (1264 enodes) 5.651 * * [simplify]: Extracting #0: cost 103 inf + 0 5.655 * * [simplify]: Extracting #1: cost 894 inf + 44 5.668 * * [simplify]: Extracting #2: cost 1713 inf + 8265 5.724 * * [simplify]: Extracting #3: cost 859 inf + 205331 5.842 * * [simplify]: Extracting #4: cost 27 inf + 417143 5.986 * * [simplify]: Extracting #5: cost 0 inf + 416329 6.153 * * [simplify]: Extracting #6: cost 0 inf + 416093 6.282 * [simplify]: Simplified to: (expm1 (/ PI (* (+ a b) 2))) (log1p (/ PI (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (sqrt (exp (/ PI (+ a b)))) (* (/ PI (* (+ a b) 2)) (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2)))) (* (/ PI (* (+ a b) 2)) (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2)))) (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (cbrt (/ PI (* (+ a b) 2))) (* (/ PI (* (+ a b) 2)) (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2)))) (sqrt (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (- PI) (* (+ a b) -2) (/ (cbrt PI) (/ (+ a b) (cbrt PI))) (/ (cbrt PI) 2) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 2) (/ 1 (+ a b)) (/ PI 2) (/ 1 (* (+ a b) 2)) (/ (* (+ a b) 2) PI) (/ PI (+ a b)) (* (/ (+ a b) (cbrt PI)) 2) (/ (* (+ a b) 2) (sqrt PI)) (/ (* (+ a b) 2) PI) (/ (/ PI 2) (fma (* b b) b (* a (* a a)))) (/ PI (* 2 (- (* a a) (* b b)))) (expm1 (/ PI (* (+ a b) 2))) (log1p (/ PI (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (sqrt (exp (/ PI (+ a b)))) (* (/ PI (* (+ a b) 2)) (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2)))) (* (/ PI (* (+ a b) 2)) (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2)))) (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (cbrt (/ PI (* (+ a b) 2))) (* (/ PI (* (+ a b) 2)) (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2)))) (sqrt (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (- PI) (* (+ a b) -2) (/ (cbrt PI) (/ (+ a b) (cbrt PI))) (/ (cbrt PI) 2) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 2) (/ 1 (+ a b)) (/ PI 2) (/ 1 (* (+ a b) 2)) (/ (* (+ a b) 2) PI) (/ PI (+ a b)) (* (/ (+ a b) (cbrt PI)) 2) (/ (* (+ a b) 2) (sqrt PI)) (/ (* (+ a b) 2) PI) (/ (/ PI 2) (fma (* b b) b (* a (* a a)))) (/ PI (* 2 (- (* a a) (* b b)))) (expm1 (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (log1p (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (/ (* (/ PI (+ a b)) -1/2) b) (log (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (exp (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (* (cbrt (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (cbrt (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2))))) (cbrt (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (* (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2))) (* (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2))) (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2))))) (sqrt (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (sqrt (fma (/ -1 b) (/ PI (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (expm1 (/ (/ PI a) (* (+ a b) 2))) (log1p (/ (/ PI a) (* (+ a b) 2))) (log (/ (/ PI a) (* (+ a b) 2))) (log (/ (/ PI a) (* (+ a b) 2))) (log (/ (/ PI a) (* (+ a b) 2))) (log (/ (/ PI a) (* (+ a b) 2))) (sqrt (exp (/ (/ PI (+ a b)) a))) (* (/ (/ PI a) (* (+ a b) 2)) (* (/ (/ PI a) (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (* (/ (/ PI a) (* (+ a b) 2)) (* (/ (/ PI a) (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (* (/ (/ PI a) (* (+ a b) 2)) (* (/ (/ PI a) (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (* (cbrt (/ (/ PI a) (* (+ a b) 2))) (cbrt (/ (/ PI a) (* (+ a b) 2)))) (cbrt (/ (/ PI a) (* (+ a b) 2))) (* (/ (/ PI a) (* (+ a b) 2)) (* (/ (/ PI a) (* (+ a b) 2)) (/ (/ PI a) (* (+ a b) 2)))) (sqrt (/ (/ PI a) (* (+ a b) 2))) (sqrt (/ (/ PI a) (* (+ a b) 2))) (* (/ PI (+ a b)) -1/2) (- a) (* (/ (cbrt (/ PI (* (+ a b) 2))) (cbrt a)) (/ (cbrt (/ PI (* (+ a b) 2))) (cbrt a))) (/ (cbrt (/ PI (* (+ a b) 2))) (cbrt a)) (/ (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (sqrt a)) (/ (cbrt (/ PI (* (+ a b) 2))) (sqrt a)) (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (/ (cbrt (/ PI (* (+ a b) 2))) a) (/ (/ (sqrt (/ PI (* (+ a b) 2))) (cbrt a)) (cbrt a)) (/ (sqrt (/ PI (* (+ a b) 2))) (cbrt a)) (/ (sqrt (/ PI (* (+ a b) 2))) (sqrt a)) (/ (sqrt (/ PI (* (+ a b) 2))) (sqrt a)) (sqrt (/ PI (* (+ a b) 2))) (/ (sqrt (/ PI (* (+ a b) 2))) a) (/ (* (/ (cbrt PI) (cbrt a)) (/ (cbrt PI) (cbrt a))) (+ a b)) (/ (/ (cbrt PI) (cbrt a)) 2) (/ (/ (cbrt PI) (/ (+ a b) (cbrt PI))) (sqrt a)) (/ (/ (cbrt PI) 2) (sqrt a)) (/ (cbrt PI) (/ (+ a b) (cbrt PI))) (/ (/ (cbrt PI) a) 2) (/ (sqrt PI) (* (* (cbrt a) (cbrt a)) (+ a b))) (/ (sqrt PI) (* 2 (cbrt a))) (/ (sqrt PI) (* (+ a b) (sqrt a))) (/ (/ (sqrt PI) 2) (sqrt a)) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) (* a 2)) (/ (/ 1 (+ a b)) (* (cbrt a) (cbrt a))) (/ (/ PI (cbrt a)) 2) (/ 1 (* (+ a b) (sqrt a))) (/ PI (* 2 (sqrt a))) (/ 1 (+ a b)) (/ (/ PI a) 2) (/ 1 (* (cbrt a) (cbrt a))) (/ PI (* 2 (* (cbrt a) (+ a b)))) (/ 1 (sqrt a)) (/ (/ PI (* (+ a b) 2)) (sqrt a)) 1 (/ (/ PI a) (* (+ a b) 2)) (/ PI (* (cbrt a) (cbrt a))) (/ 1 (* (cbrt a) (* (+ a b) 2))) (/ PI (sqrt a)) (/ 1 (* (sqrt a) (* (+ a b) 2))) PI (/ (/ 1 (+ a b)) (* a 2)) (/ (/ (/ (/ PI 2) (fma (* b b) b (* a (* a a)))) (cbrt a)) (cbrt a)) (/ (fma b (- b a) (* a a)) (cbrt a)) (/ (/ PI (sqrt a)) (* (fma (* b b) b (* a (* a a))) 2)) (/ (fma b (- b a) (* a a)) (sqrt a)) (/ (/ PI 2) (fma (* b b) b (* a (* a a)))) (/ (fma b (- b a) (* a a)) a) (/ (/ PI (* (cbrt a) (cbrt a))) (* 2 (- (* a a) (* b b)))) (/ (- a b) (cbrt a)) (/ PI (* (* 2 (sqrt a)) (- (* a a) (* b b)))) (/ (- a b) (sqrt a)) (/ PI (* 2 (- (* a a) (* b b)))) (/ (- a b) a) (/ 1 a) (* (* (+ a b) 2) (/ a PI)) (/ (/ (/ PI (* (+ a b) 2)) (cbrt a)) (cbrt a)) (/ (/ PI (* (+ a b) 2)) (sqrt a)) (/ PI (* (+ a b) 2)) (/ a (cbrt (/ PI (* (+ a b) 2)))) (/ a (sqrt (/ PI (* (+ a b) 2)))) (/ (* a 2) (cbrt PI)) (/ (* a 2) (sqrt PI)) (* (/ a PI) 2) (* (* (+ a b) 2) (/ a PI)) (* 2 (* (+ a b) a)) (/ a (fma b (- b a) (* a a))) (/ a (- a b)) (* 2 (* (+ a b) a)) 0 0 0 0 0 0 (* (/ PI b) (/ 1/2 a)) (* (/ PI a) (/ -1/2 b)) (* (/ PI a) (/ -1/2 b)) 0 0 0 6.292 * * * [progress]: adding candidates to table 7.861 * * [progress]: iteration 2 / 4 7.861 * * * [progress]: picking best candidate 7.896 * * * * [pick]: Picked # 7.896 * * * [progress]: localizing error 7.954 * * * [progress]: generating rewritten candidates 7.954 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 8.024 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 3 1) 8.040 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 8.041 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 3) 8.072 * * * [progress]: generating series expansions 8.072 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 8.072 * [backup-simplify]: Simplify (* PI (/ 1 (* (+ a b) 2))) into (* 1/2 (/ PI (+ a b))) 8.072 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 8.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 8.072 * [taylor]: Taking taylor expansion of 1/2 in b 8.072 * [backup-simplify]: Simplify 1/2 into 1/2 8.072 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.072 * [taylor]: Taking taylor expansion of PI in b 8.072 * [backup-simplify]: Simplify PI into PI 8.072 * [taylor]: Taking taylor expansion of (+ a b) in b 8.072 * [taylor]: Taking taylor expansion of a in b 8.072 * [backup-simplify]: Simplify a into a 8.072 * [taylor]: Taking taylor expansion of b in b 8.072 * [backup-simplify]: Simplify 0 into 0 8.072 * [backup-simplify]: Simplify 1 into 1 8.072 * [backup-simplify]: Simplify (+ a 0) into a 8.073 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 8.073 * [taylor]: Taking taylor expansion of 1/2 in a 8.073 * [backup-simplify]: Simplify 1/2 into 1/2 8.073 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.073 * [taylor]: Taking taylor expansion of PI in a 8.073 * [backup-simplify]: Simplify PI into PI 8.073 * [taylor]: Taking taylor expansion of (+ a b) in a 8.073 * [taylor]: Taking taylor expansion of a in a 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify 1 into 1 8.073 * [taylor]: Taking taylor expansion of b in a 8.073 * [backup-simplify]: Simplify b into b 8.073 * [backup-simplify]: Simplify (+ 0 b) into b 8.073 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 8.073 * [taylor]: Taking taylor expansion of 1/2 in a 8.073 * [backup-simplify]: Simplify 1/2 into 1/2 8.073 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.073 * [taylor]: Taking taylor expansion of PI in a 8.073 * [backup-simplify]: Simplify PI into PI 8.073 * [taylor]: Taking taylor expansion of (+ a b) in a 8.073 * [taylor]: Taking taylor expansion of a in a 8.073 * [backup-simplify]: Simplify 0 into 0 8.073 * [backup-simplify]: Simplify 1 into 1 8.073 * [taylor]: Taking taylor expansion of b in a 8.073 * [backup-simplify]: Simplify b into b 8.074 * [backup-simplify]: Simplify (+ 0 b) into b 8.074 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.074 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 8.074 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.074 * [taylor]: Taking taylor expansion of 1/2 in b 8.074 * [backup-simplify]: Simplify 1/2 into 1/2 8.074 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.074 * [taylor]: Taking taylor expansion of PI in b 8.074 * [backup-simplify]: Simplify PI into PI 8.074 * [taylor]: Taking taylor expansion of b in b 8.074 * [backup-simplify]: Simplify 0 into 0 8.074 * [backup-simplify]: Simplify 1 into 1 8.075 * [backup-simplify]: Simplify (/ PI 1) into PI 8.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.076 * [backup-simplify]: Simplify 0 into 0 8.077 * [backup-simplify]: Simplify (+ 1 0) into 1 8.077 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 8.077 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 8.077 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 8.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.078 * [taylor]: Taking taylor expansion of 1/2 in b 8.078 * [backup-simplify]: Simplify 1/2 into 1/2 8.078 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.078 * [taylor]: Taking taylor expansion of PI in b 8.078 * [backup-simplify]: Simplify PI into PI 8.078 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.078 * [taylor]: Taking taylor expansion of b in b 8.078 * [backup-simplify]: Simplify 0 into 0 8.078 * [backup-simplify]: Simplify 1 into 1 8.078 * [backup-simplify]: Simplify (* 1 1) into 1 8.079 * [backup-simplify]: Simplify (/ PI 1) into PI 8.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.083 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.084 * [backup-simplify]: Simplify (- 0) into 0 8.084 * [backup-simplify]: Simplify 0 into 0 8.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.086 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.086 * [backup-simplify]: Simplify 0 into 0 8.086 * [backup-simplify]: Simplify (+ 0 0) into 0 8.087 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 8.087 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 8.087 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 8.087 * [taylor]: Taking taylor expansion of 1/2 in b 8.087 * [backup-simplify]: Simplify 1/2 into 1/2 8.087 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 8.087 * [taylor]: Taking taylor expansion of PI in b 8.087 * [backup-simplify]: Simplify PI into PI 8.087 * [taylor]: Taking taylor expansion of (pow b 3) in b 8.087 * [taylor]: Taking taylor expansion of b in b 8.087 * [backup-simplify]: Simplify 0 into 0 8.087 * [backup-simplify]: Simplify 1 into 1 8.088 * [backup-simplify]: Simplify (* 1 1) into 1 8.088 * [backup-simplify]: Simplify (* 1 1) into 1 8.089 * [backup-simplify]: Simplify (/ PI 1) into PI 8.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.090 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.099 * [backup-simplify]: Simplify 0 into 0 8.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.101 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.101 * [backup-simplify]: Simplify (- 0) into 0 8.101 * [backup-simplify]: Simplify 0 into 0 8.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.103 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.103 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify (* PI (/ 1 (* (+ (/ 1 a) (/ 1 b)) 2))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.103 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.103 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.103 * [taylor]: Taking taylor expansion of 1/2 in b 8.103 * [backup-simplify]: Simplify 1/2 into 1/2 8.103 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.103 * [taylor]: Taking taylor expansion of PI in b 8.103 * [backup-simplify]: Simplify PI into PI 8.103 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.103 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.103 * [taylor]: Taking taylor expansion of a in b 8.103 * [backup-simplify]: Simplify a into a 8.103 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.103 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.103 * [taylor]: Taking taylor expansion of b in b 8.103 * [backup-simplify]: Simplify 0 into 0 8.103 * [backup-simplify]: Simplify 1 into 1 8.103 * [backup-simplify]: Simplify (/ 1 1) into 1 8.104 * [backup-simplify]: Simplify (+ 0 1) into 1 8.104 * [backup-simplify]: Simplify (/ PI 1) into PI 8.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.104 * [taylor]: Taking taylor expansion of 1/2 in a 8.104 * [backup-simplify]: Simplify 1/2 into 1/2 8.104 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.104 * [taylor]: Taking taylor expansion of PI in a 8.104 * [backup-simplify]: Simplify PI into PI 8.104 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.104 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.104 * [taylor]: Taking taylor expansion of a in a 8.104 * [backup-simplify]: Simplify 0 into 0 8.104 * [backup-simplify]: Simplify 1 into 1 8.104 * [backup-simplify]: Simplify (/ 1 1) into 1 8.104 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.104 * [taylor]: Taking taylor expansion of b in a 8.105 * [backup-simplify]: Simplify b into b 8.105 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.105 * [backup-simplify]: Simplify (+ 1 0) into 1 8.105 * [backup-simplify]: Simplify (/ PI 1) into PI 8.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.105 * [taylor]: Taking taylor expansion of 1/2 in a 8.105 * [backup-simplify]: Simplify 1/2 into 1/2 8.105 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.105 * [taylor]: Taking taylor expansion of PI in a 8.105 * [backup-simplify]: Simplify PI into PI 8.105 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.105 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.105 * [taylor]: Taking taylor expansion of a in a 8.105 * [backup-simplify]: Simplify 0 into 0 8.105 * [backup-simplify]: Simplify 1 into 1 8.105 * [backup-simplify]: Simplify (/ 1 1) into 1 8.106 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.106 * [taylor]: Taking taylor expansion of b in a 8.106 * [backup-simplify]: Simplify b into b 8.106 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.106 * [backup-simplify]: Simplify (+ 1 0) into 1 8.106 * [backup-simplify]: Simplify (/ PI 1) into PI 8.107 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.107 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 8.107 * [taylor]: Taking taylor expansion of 1/2 in b 8.107 * [backup-simplify]: Simplify 1/2 into 1/2 8.107 * [taylor]: Taking taylor expansion of PI in b 8.107 * [backup-simplify]: Simplify PI into PI 8.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.107 * [backup-simplify]: Simplify 0 into 0 8.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.108 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.108 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 8.108 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 8.108 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.108 * [taylor]: Taking taylor expansion of 1/2 in b 8.108 * [backup-simplify]: Simplify 1/2 into 1/2 8.108 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.108 * [taylor]: Taking taylor expansion of PI in b 8.109 * [backup-simplify]: Simplify PI into PI 8.109 * [taylor]: Taking taylor expansion of b in b 8.109 * [backup-simplify]: Simplify 0 into 0 8.109 * [backup-simplify]: Simplify 1 into 1 8.109 * [backup-simplify]: Simplify (/ PI 1) into PI 8.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.111 * [backup-simplify]: Simplify (- 0) into 0 8.111 * [backup-simplify]: Simplify 0 into 0 8.111 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.111 * [backup-simplify]: Simplify 0 into 0 8.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.112 * [backup-simplify]: Simplify (+ 0 0) into 0 8.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.114 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 8.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.114 * [taylor]: Taking taylor expansion of 1/2 in b 8.114 * [backup-simplify]: Simplify 1/2 into 1/2 8.114 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.114 * [taylor]: Taking taylor expansion of PI in b 8.114 * [backup-simplify]: Simplify PI into PI 8.114 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.114 * [taylor]: Taking taylor expansion of b in b 8.114 * [backup-simplify]: Simplify 0 into 0 8.114 * [backup-simplify]: Simplify 1 into 1 8.114 * [backup-simplify]: Simplify (* 1 1) into 1 8.114 * [backup-simplify]: Simplify (/ PI 1) into PI 8.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.118 * [backup-simplify]: Simplify 0 into 0 8.119 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.120 * [backup-simplify]: Simplify (- 0) into 0 8.120 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify (* PI (/ 1 (* (+ (/ 1 (- a)) (/ 1 (- b))) 2))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.121 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.121 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.121 * [taylor]: Taking taylor expansion of -1/2 in b 8.121 * [backup-simplify]: Simplify -1/2 into -1/2 8.121 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.121 * [taylor]: Taking taylor expansion of PI in b 8.121 * [backup-simplify]: Simplify PI into PI 8.121 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.121 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.121 * [taylor]: Taking taylor expansion of a in b 8.121 * [backup-simplify]: Simplify a into a 8.121 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.121 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.121 * [taylor]: Taking taylor expansion of b in b 8.121 * [backup-simplify]: Simplify 0 into 0 8.121 * [backup-simplify]: Simplify 1 into 1 8.121 * [backup-simplify]: Simplify (/ 1 1) into 1 8.122 * [backup-simplify]: Simplify (+ 0 1) into 1 8.122 * [backup-simplify]: Simplify (/ PI 1) into PI 8.122 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.122 * [taylor]: Taking taylor expansion of -1/2 in a 8.122 * [backup-simplify]: Simplify -1/2 into -1/2 8.122 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.122 * [taylor]: Taking taylor expansion of PI in a 8.122 * [backup-simplify]: Simplify PI into PI 8.122 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.122 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.122 * [taylor]: Taking taylor expansion of a in a 8.122 * [backup-simplify]: Simplify 0 into 0 8.122 * [backup-simplify]: Simplify 1 into 1 8.122 * [backup-simplify]: Simplify (/ 1 1) into 1 8.122 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.122 * [taylor]: Taking taylor expansion of b in a 8.122 * [backup-simplify]: Simplify b into b 8.122 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.123 * [backup-simplify]: Simplify (+ 1 0) into 1 8.123 * [backup-simplify]: Simplify (/ PI 1) into PI 8.123 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.123 * [taylor]: Taking taylor expansion of -1/2 in a 8.123 * [backup-simplify]: Simplify -1/2 into -1/2 8.123 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.123 * [taylor]: Taking taylor expansion of PI in a 8.123 * [backup-simplify]: Simplify PI into PI 8.123 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.123 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.123 * [taylor]: Taking taylor expansion of a in a 8.123 * [backup-simplify]: Simplify 0 into 0 8.123 * [backup-simplify]: Simplify 1 into 1 8.123 * [backup-simplify]: Simplify (/ 1 1) into 1 8.123 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.123 * [taylor]: Taking taylor expansion of b in a 8.123 * [backup-simplify]: Simplify b into b 8.124 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.124 * [backup-simplify]: Simplify (+ 1 0) into 1 8.124 * [backup-simplify]: Simplify (/ PI 1) into PI 8.124 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 8.124 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 8.124 * [taylor]: Taking taylor expansion of -1/2 in b 8.125 * [backup-simplify]: Simplify -1/2 into -1/2 8.125 * [taylor]: Taking taylor expansion of PI in b 8.125 * [backup-simplify]: Simplify PI into PI 8.125 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 8.125 * [backup-simplify]: Simplify 0 into 0 8.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.126 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.126 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 8.126 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.126 * [taylor]: Taking taylor expansion of 1/2 in b 8.126 * [backup-simplify]: Simplify 1/2 into 1/2 8.126 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.126 * [taylor]: Taking taylor expansion of PI in b 8.126 * [backup-simplify]: Simplify PI into PI 8.126 * [taylor]: Taking taylor expansion of b in b 8.126 * [backup-simplify]: Simplify 0 into 0 8.126 * [backup-simplify]: Simplify 1 into 1 8.127 * [backup-simplify]: Simplify (/ PI 1) into PI 8.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.128 * [backup-simplify]: Simplify 0 into 0 8.129 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.129 * [backup-simplify]: Simplify 0 into 0 8.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.130 * [backup-simplify]: Simplify (+ 0 0) into 0 8.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.131 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 8.131 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 8.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.131 * [taylor]: Taking taylor expansion of 1/2 in b 8.131 * [backup-simplify]: Simplify 1/2 into 1/2 8.131 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.131 * [taylor]: Taking taylor expansion of PI in b 8.131 * [backup-simplify]: Simplify PI into PI 8.131 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.131 * [taylor]: Taking taylor expansion of b in b 8.131 * [backup-simplify]: Simplify 0 into 0 8.131 * [backup-simplify]: Simplify 1 into 1 8.132 * [backup-simplify]: Simplify (* 1 1) into 1 8.132 * [backup-simplify]: Simplify (/ PI 1) into PI 8.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.136 * [backup-simplify]: Simplify (- 0) into 0 8.136 * [backup-simplify]: Simplify 0 into 0 8.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.137 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.137 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * [backup-simplify]: Simplify 0 into 0 8.138 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 3 1) 8.138 * [backup-simplify]: Simplify (/ PI (* (+ a b) 2)) into (* 1/2 (/ PI (+ a b))) 8.138 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 8.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 8.139 * [taylor]: Taking taylor expansion of 1/2 in b 8.139 * [backup-simplify]: Simplify 1/2 into 1/2 8.139 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.139 * [taylor]: Taking taylor expansion of PI in b 8.139 * [backup-simplify]: Simplify PI into PI 8.139 * [taylor]: Taking taylor expansion of (+ a b) in b 8.139 * [taylor]: Taking taylor expansion of a in b 8.139 * [backup-simplify]: Simplify a into a 8.139 * [taylor]: Taking taylor expansion of b in b 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [backup-simplify]: Simplify (+ a 0) into a 8.139 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 8.139 * [taylor]: Taking taylor expansion of 1/2 in a 8.139 * [backup-simplify]: Simplify 1/2 into 1/2 8.139 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.139 * [taylor]: Taking taylor expansion of PI in a 8.139 * [backup-simplify]: Simplify PI into PI 8.139 * [taylor]: Taking taylor expansion of (+ a b) in a 8.139 * [taylor]: Taking taylor expansion of a in a 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [taylor]: Taking taylor expansion of b in a 8.139 * [backup-simplify]: Simplify b into b 8.139 * [backup-simplify]: Simplify (+ 0 b) into b 8.139 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 8.139 * [taylor]: Taking taylor expansion of 1/2 in a 8.139 * [backup-simplify]: Simplify 1/2 into 1/2 8.139 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.139 * [taylor]: Taking taylor expansion of PI in a 8.139 * [backup-simplify]: Simplify PI into PI 8.139 * [taylor]: Taking taylor expansion of (+ a b) in a 8.139 * [taylor]: Taking taylor expansion of a in a 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.139 * [taylor]: Taking taylor expansion of b in a 8.139 * [backup-simplify]: Simplify b into b 8.139 * [backup-simplify]: Simplify (+ 0 b) into b 8.139 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.139 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 8.139 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.139 * [taylor]: Taking taylor expansion of 1/2 in b 8.139 * [backup-simplify]: Simplify 1/2 into 1/2 8.139 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.139 * [taylor]: Taking taylor expansion of PI in b 8.139 * [backup-simplify]: Simplify PI into PI 8.139 * [taylor]: Taking taylor expansion of b in b 8.139 * [backup-simplify]: Simplify 0 into 0 8.139 * [backup-simplify]: Simplify 1 into 1 8.140 * [backup-simplify]: Simplify (/ PI 1) into PI 8.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.141 * [backup-simplify]: Simplify 0 into 0 8.141 * [backup-simplify]: Simplify (+ 1 0) into 1 8.141 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 8.141 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 8.142 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 8.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.142 * [taylor]: Taking taylor expansion of 1/2 in b 8.142 * [backup-simplify]: Simplify 1/2 into 1/2 8.142 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.142 * [taylor]: Taking taylor expansion of PI in b 8.142 * [backup-simplify]: Simplify PI into PI 8.142 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.142 * [taylor]: Taking taylor expansion of b in b 8.142 * [backup-simplify]: Simplify 0 into 0 8.142 * [backup-simplify]: Simplify 1 into 1 8.142 * [backup-simplify]: Simplify (* 1 1) into 1 8.142 * [backup-simplify]: Simplify (/ PI 1) into PI 8.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.145 * [backup-simplify]: Simplify (- 0) into 0 8.145 * [backup-simplify]: Simplify 0 into 0 8.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.146 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify (+ 0 0) into 0 8.147 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 8.147 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 8.147 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 8.147 * [taylor]: Taking taylor expansion of 1/2 in b 8.147 * [backup-simplify]: Simplify 1/2 into 1/2 8.147 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 8.147 * [taylor]: Taking taylor expansion of PI in b 8.147 * [backup-simplify]: Simplify PI into PI 8.147 * [taylor]: Taking taylor expansion of (pow b 3) in b 8.147 * [taylor]: Taking taylor expansion of b in b 8.147 * [backup-simplify]: Simplify 0 into 0 8.147 * [backup-simplify]: Simplify 1 into 1 8.147 * [backup-simplify]: Simplify (* 1 1) into 1 8.148 * [backup-simplify]: Simplify (* 1 1) into 1 8.148 * [backup-simplify]: Simplify (/ PI 1) into PI 8.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.154 * [backup-simplify]: Simplify 0 into 0 8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.156 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.156 * [backup-simplify]: Simplify (- 0) into 0 8.156 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.157 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.158 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.158 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.158 * [taylor]: Taking taylor expansion of 1/2 in b 8.158 * [backup-simplify]: Simplify 1/2 into 1/2 8.158 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.158 * [taylor]: Taking taylor expansion of PI in b 8.158 * [backup-simplify]: Simplify PI into PI 8.158 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.158 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.158 * [taylor]: Taking taylor expansion of a in b 8.158 * [backup-simplify]: Simplify a into a 8.158 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.158 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.158 * [taylor]: Taking taylor expansion of b in b 8.158 * [backup-simplify]: Simplify 0 into 0 8.158 * [backup-simplify]: Simplify 1 into 1 8.158 * [backup-simplify]: Simplify (/ 1 1) into 1 8.158 * [backup-simplify]: Simplify (+ 0 1) into 1 8.159 * [backup-simplify]: Simplify (/ PI 1) into PI 8.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.159 * [taylor]: Taking taylor expansion of 1/2 in a 8.159 * [backup-simplify]: Simplify 1/2 into 1/2 8.159 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.159 * [taylor]: Taking taylor expansion of PI in a 8.159 * [backup-simplify]: Simplify PI into PI 8.159 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.159 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.159 * [taylor]: Taking taylor expansion of a in a 8.159 * [backup-simplify]: Simplify 0 into 0 8.159 * [backup-simplify]: Simplify 1 into 1 8.159 * [backup-simplify]: Simplify (/ 1 1) into 1 8.159 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.159 * [taylor]: Taking taylor expansion of b in a 8.159 * [backup-simplify]: Simplify b into b 8.159 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.159 * [backup-simplify]: Simplify (+ 1 0) into 1 8.160 * [backup-simplify]: Simplify (/ PI 1) into PI 8.160 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.160 * [taylor]: Taking taylor expansion of 1/2 in a 8.160 * [backup-simplify]: Simplify 1/2 into 1/2 8.160 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.160 * [taylor]: Taking taylor expansion of PI in a 8.160 * [backup-simplify]: Simplify PI into PI 8.160 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.160 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.160 * [taylor]: Taking taylor expansion of a in a 8.160 * [backup-simplify]: Simplify 0 into 0 8.160 * [backup-simplify]: Simplify 1 into 1 8.160 * [backup-simplify]: Simplify (/ 1 1) into 1 8.160 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.160 * [taylor]: Taking taylor expansion of b in a 8.160 * [backup-simplify]: Simplify b into b 8.160 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.160 * [backup-simplify]: Simplify (+ 1 0) into 1 8.161 * [backup-simplify]: Simplify (/ PI 1) into PI 8.161 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.161 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 8.161 * [taylor]: Taking taylor expansion of 1/2 in b 8.161 * [backup-simplify]: Simplify 1/2 into 1/2 8.161 * [taylor]: Taking taylor expansion of PI in b 8.161 * [backup-simplify]: Simplify PI into PI 8.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.162 * [backup-simplify]: Simplify 0 into 0 8.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.162 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.163 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 8.163 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 8.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.163 * [taylor]: Taking taylor expansion of 1/2 in b 8.163 * [backup-simplify]: Simplify 1/2 into 1/2 8.163 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.163 * [taylor]: Taking taylor expansion of PI in b 8.163 * [backup-simplify]: Simplify PI into PI 8.163 * [taylor]: Taking taylor expansion of b in b 8.163 * [backup-simplify]: Simplify 0 into 0 8.163 * [backup-simplify]: Simplify 1 into 1 8.164 * [backup-simplify]: Simplify (/ PI 1) into PI 8.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.167 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.168 * [backup-simplify]: Simplify (- 0) into 0 8.168 * [backup-simplify]: Simplify 0 into 0 8.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.169 * [backup-simplify]: Simplify 0 into 0 8.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.171 * [backup-simplify]: Simplify (+ 0 0) into 0 8.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.173 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 8.173 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.173 * [taylor]: Taking taylor expansion of 1/2 in b 8.173 * [backup-simplify]: Simplify 1/2 into 1/2 8.173 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.173 * [taylor]: Taking taylor expansion of PI in b 8.173 * [backup-simplify]: Simplify PI into PI 8.173 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.173 * [taylor]: Taking taylor expansion of b in b 8.173 * [backup-simplify]: Simplify 0 into 0 8.173 * [backup-simplify]: Simplify 1 into 1 8.174 * [backup-simplify]: Simplify (* 1 1) into 1 8.174 * [backup-simplify]: Simplify (/ PI 1) into PI 8.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.178 * [backup-simplify]: Simplify 0 into 0 8.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.180 * [backup-simplify]: Simplify (- 0) into 0 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify 0 into 0 8.180 * [backup-simplify]: Simplify (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 8.180 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.180 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.181 * [taylor]: Taking taylor expansion of -1/2 in b 8.181 * [backup-simplify]: Simplify -1/2 into -1/2 8.181 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.181 * [taylor]: Taking taylor expansion of PI in b 8.181 * [backup-simplify]: Simplify PI into PI 8.181 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.181 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.181 * [taylor]: Taking taylor expansion of a in b 8.181 * [backup-simplify]: Simplify a into a 8.181 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.181 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.181 * [taylor]: Taking taylor expansion of b in b 8.181 * [backup-simplify]: Simplify 0 into 0 8.181 * [backup-simplify]: Simplify 1 into 1 8.181 * [backup-simplify]: Simplify (/ 1 1) into 1 8.181 * [backup-simplify]: Simplify (+ 0 1) into 1 8.182 * [backup-simplify]: Simplify (/ PI 1) into PI 8.182 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.182 * [taylor]: Taking taylor expansion of -1/2 in a 8.182 * [backup-simplify]: Simplify -1/2 into -1/2 8.182 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.182 * [taylor]: Taking taylor expansion of PI in a 8.182 * [backup-simplify]: Simplify PI into PI 8.182 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.182 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.182 * [taylor]: Taking taylor expansion of a in a 8.182 * [backup-simplify]: Simplify 0 into 0 8.182 * [backup-simplify]: Simplify 1 into 1 8.182 * [backup-simplify]: Simplify (/ 1 1) into 1 8.182 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.182 * [taylor]: Taking taylor expansion of b in a 8.182 * [backup-simplify]: Simplify b into b 8.182 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.182 * [backup-simplify]: Simplify (+ 1 0) into 1 8.183 * [backup-simplify]: Simplify (/ PI 1) into PI 8.183 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.183 * [taylor]: Taking taylor expansion of -1/2 in a 8.183 * [backup-simplify]: Simplify -1/2 into -1/2 8.183 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.183 * [taylor]: Taking taylor expansion of PI in a 8.183 * [backup-simplify]: Simplify PI into PI 8.183 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.183 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.183 * [taylor]: Taking taylor expansion of a in a 8.183 * [backup-simplify]: Simplify 0 into 0 8.183 * [backup-simplify]: Simplify 1 into 1 8.183 * [backup-simplify]: Simplify (/ 1 1) into 1 8.183 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.183 * [taylor]: Taking taylor expansion of b in a 8.183 * [backup-simplify]: Simplify b into b 8.183 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.183 * [backup-simplify]: Simplify (+ 1 0) into 1 8.184 * [backup-simplify]: Simplify (/ PI 1) into PI 8.184 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 8.184 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 8.184 * [taylor]: Taking taylor expansion of -1/2 in b 8.184 * [backup-simplify]: Simplify -1/2 into -1/2 8.184 * [taylor]: Taking taylor expansion of PI in b 8.184 * [backup-simplify]: Simplify PI into PI 8.185 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 8.185 * [backup-simplify]: Simplify 0 into 0 8.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.185 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.186 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 8.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.186 * [taylor]: Taking taylor expansion of 1/2 in b 8.186 * [backup-simplify]: Simplify 1/2 into 1/2 8.186 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.186 * [taylor]: Taking taylor expansion of PI in b 8.186 * [backup-simplify]: Simplify PI into PI 8.186 * [taylor]: Taking taylor expansion of b in b 8.186 * [backup-simplify]: Simplify 0 into 0 8.186 * [backup-simplify]: Simplify 1 into 1 8.186 * [backup-simplify]: Simplify (/ PI 1) into PI 8.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.188 * [backup-simplify]: Simplify 0 into 0 8.190 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.191 * [backup-simplify]: Simplify 0 into 0 8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.192 * [backup-simplify]: Simplify (+ 0 0) into 0 8.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.193 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 8.193 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 8.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.193 * [taylor]: Taking taylor expansion of 1/2 in b 8.193 * [backup-simplify]: Simplify 1/2 into 1/2 8.193 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.193 * [taylor]: Taking taylor expansion of PI in b 8.193 * [backup-simplify]: Simplify PI into PI 8.193 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.193 * [taylor]: Taking taylor expansion of b in b 8.193 * [backup-simplify]: Simplify 0 into 0 8.193 * [backup-simplify]: Simplify 1 into 1 8.193 * [backup-simplify]: Simplify (* 1 1) into 1 8.194 * [backup-simplify]: Simplify (/ PI 1) into PI 8.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.198 * [backup-simplify]: Simplify (- 0) into 0 8.198 * [backup-simplify]: Simplify 0 into 0 8.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * [backup-simplify]: Simplify 0 into 0 8.200 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 8.201 * [backup-simplify]: Simplify (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a)) into (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) 8.201 * [approximate]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in (a b) around 0 8.201 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in b 8.201 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 8.201 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in b 8.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 8.201 * [taylor]: Taking taylor expansion of 1/2 in b 8.201 * [backup-simplify]: Simplify 1/2 into 1/2 8.201 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 8.201 * [taylor]: Taking taylor expansion of PI in b 8.201 * [backup-simplify]: Simplify PI into PI 8.201 * [taylor]: Taking taylor expansion of (+ a b) in b 8.201 * [taylor]: Taking taylor expansion of a in b 8.201 * [backup-simplify]: Simplify a into a 8.201 * [taylor]: Taking taylor expansion of b in b 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 1 into 1 8.201 * [backup-simplify]: Simplify (+ a 0) into a 8.201 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 8.201 * [taylor]: Taking taylor expansion of (/ -1 b) in b 8.201 * [taylor]: Taking taylor expansion of -1 in b 8.201 * [backup-simplify]: Simplify -1 into -1 8.201 * [taylor]: Taking taylor expansion of b in b 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 1 into 1 8.201 * [backup-simplify]: Simplify (/ -1 1) into -1 8.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 8.201 * [taylor]: Taking taylor expansion of 1/2 in b 8.201 * [backup-simplify]: Simplify 1/2 into 1/2 8.201 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 8.201 * [taylor]: Taking taylor expansion of PI in b 8.201 * [backup-simplify]: Simplify PI into PI 8.201 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 8.201 * [taylor]: Taking taylor expansion of a in b 8.201 * [backup-simplify]: Simplify a into a 8.201 * [taylor]: Taking taylor expansion of (+ a b) in b 8.201 * [taylor]: Taking taylor expansion of a in b 8.201 * [backup-simplify]: Simplify a into a 8.201 * [taylor]: Taking taylor expansion of b in b 8.201 * [backup-simplify]: Simplify 0 into 0 8.201 * [backup-simplify]: Simplify 1 into 1 8.202 * [backup-simplify]: Simplify (+ a 0) into a 8.202 * [backup-simplify]: Simplify (* a a) into (pow a 2) 8.202 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 8.202 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in a 8.202 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 8.202 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in a 8.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 8.202 * [taylor]: Taking taylor expansion of 1/2 in a 8.202 * [backup-simplify]: Simplify 1/2 into 1/2 8.202 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.202 * [taylor]: Taking taylor expansion of PI in a 8.202 * [backup-simplify]: Simplify PI into PI 8.202 * [taylor]: Taking taylor expansion of (+ a b) in a 8.202 * [taylor]: Taking taylor expansion of a in a 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.202 * [taylor]: Taking taylor expansion of b in a 8.202 * [backup-simplify]: Simplify b into b 8.202 * [backup-simplify]: Simplify (+ 0 b) into b 8.202 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.202 * [taylor]: Taking taylor expansion of (/ -1 b) in a 8.202 * [taylor]: Taking taylor expansion of -1 in a 8.202 * [backup-simplify]: Simplify -1 into -1 8.202 * [taylor]: Taking taylor expansion of b in a 8.202 * [backup-simplify]: Simplify b into b 8.202 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 8.202 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 8.202 * [taylor]: Taking taylor expansion of 1/2 in a 8.202 * [backup-simplify]: Simplify 1/2 into 1/2 8.202 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 8.202 * [taylor]: Taking taylor expansion of PI in a 8.202 * [backup-simplify]: Simplify PI into PI 8.202 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 8.202 * [taylor]: Taking taylor expansion of a in a 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.202 * [taylor]: Taking taylor expansion of (+ a b) in a 8.202 * [taylor]: Taking taylor expansion of a in a 8.202 * [backup-simplify]: Simplify 0 into 0 8.202 * [backup-simplify]: Simplify 1 into 1 8.202 * [taylor]: Taking taylor expansion of b in a 8.202 * [backup-simplify]: Simplify b into b 8.202 * [backup-simplify]: Simplify (+ 0 b) into b 8.202 * [backup-simplify]: Simplify (* 0 b) into 0 8.203 * [backup-simplify]: Simplify (+ 1 0) into 1 8.203 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 8.203 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.203 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in a 8.203 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 8.203 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in a 8.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 8.203 * [taylor]: Taking taylor expansion of 1/2 in a 8.203 * [backup-simplify]: Simplify 1/2 into 1/2 8.203 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 8.203 * [taylor]: Taking taylor expansion of PI in a 8.203 * [backup-simplify]: Simplify PI into PI 8.203 * [taylor]: Taking taylor expansion of (+ a b) in a 8.203 * [taylor]: Taking taylor expansion of a in a 8.203 * [backup-simplify]: Simplify 0 into 0 8.203 * [backup-simplify]: Simplify 1 into 1 8.203 * [taylor]: Taking taylor expansion of b in a 8.203 * [backup-simplify]: Simplify b into b 8.203 * [backup-simplify]: Simplify (+ 0 b) into b 8.203 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.203 * [taylor]: Taking taylor expansion of (/ -1 b) in a 8.203 * [taylor]: Taking taylor expansion of -1 in a 8.203 * [backup-simplify]: Simplify -1 into -1 8.204 * [taylor]: Taking taylor expansion of b in a 8.204 * [backup-simplify]: Simplify b into b 8.204 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 8.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 8.204 * [taylor]: Taking taylor expansion of 1/2 in a 8.204 * [backup-simplify]: Simplify 1/2 into 1/2 8.204 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 8.204 * [taylor]: Taking taylor expansion of PI in a 8.204 * [backup-simplify]: Simplify PI into PI 8.204 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 8.204 * [taylor]: Taking taylor expansion of a in a 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 1 into 1 8.204 * [taylor]: Taking taylor expansion of (+ a b) in a 8.204 * [taylor]: Taking taylor expansion of a in a 8.204 * [backup-simplify]: Simplify 0 into 0 8.204 * [backup-simplify]: Simplify 1 into 1 8.204 * [taylor]: Taking taylor expansion of b in a 8.204 * [backup-simplify]: Simplify b into b 8.204 * [backup-simplify]: Simplify (+ 0 b) into b 8.204 * [backup-simplify]: Simplify (* 0 b) into 0 8.204 * [backup-simplify]: Simplify (+ 1 0) into 1 8.204 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 8.204 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.205 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 8.205 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ PI b))) into (* 1/2 (/ PI b)) 8.205 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.205 * [taylor]: Taking taylor expansion of 1/2 in b 8.205 * [backup-simplify]: Simplify 1/2 into 1/2 8.205 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.205 * [taylor]: Taking taylor expansion of PI in b 8.205 * [backup-simplify]: Simplify PI into PI 8.205 * [taylor]: Taking taylor expansion of b in b 8.205 * [backup-simplify]: Simplify 0 into 0 8.205 * [backup-simplify]: Simplify 1 into 1 8.205 * [backup-simplify]: Simplify (/ PI 1) into PI 8.205 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.206 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.206 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 8.206 * [backup-simplify]: Simplify (* (* 1/2 (/ PI b)) (/ -1 b)) into (* -1/2 (/ PI (pow b 2))) 8.206 * [backup-simplify]: Simplify (+ 0 0) into 0 8.207 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 8.207 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 8.207 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 8.207 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (- (* 1/2 (/ PI (pow b 2))))) into (- (/ PI (pow b 2))) 8.207 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 8.207 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.207 * [taylor]: Taking taylor expansion of PI in b 8.207 * [backup-simplify]: Simplify PI into PI 8.207 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.207 * [taylor]: Taking taylor expansion of b in b 8.207 * [backup-simplify]: Simplify 0 into 0 8.207 * [backup-simplify]: Simplify 1 into 1 8.207 * [backup-simplify]: Simplify (* 1 1) into 1 8.208 * [backup-simplify]: Simplify (/ PI 1) into PI 8.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.209 * [backup-simplify]: Simplify (- 0) into 0 8.209 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.210 * [backup-simplify]: Simplify 0 into 0 8.210 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 8.210 * [backup-simplify]: Simplify (+ 1 0) into 1 8.210 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 8.211 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 8.211 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ PI b)) 0) (* (- (* 1/2 (/ PI (pow b 2)))) (/ -1 b))) into (* 1/2 (/ PI (pow b 3))) 8.211 * [backup-simplify]: Simplify (+ 0 0) into 0 8.212 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 8.212 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 8.212 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 8.212 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (* 1/2 (/ PI (pow b 3)))) into (/ PI (pow b 3)) 8.212 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 8.212 * [taylor]: Taking taylor expansion of PI in b 8.212 * [backup-simplify]: Simplify PI into PI 8.212 * [taylor]: Taking taylor expansion of (pow b 3) in b 8.212 * [taylor]: Taking taylor expansion of b in b 8.212 * [backup-simplify]: Simplify 0 into 0 8.212 * [backup-simplify]: Simplify 1 into 1 8.213 * [backup-simplify]: Simplify (* 1 1) into 1 8.213 * [backup-simplify]: Simplify (* 1 1) into 1 8.213 * [backup-simplify]: Simplify (/ PI 1) into PI 8.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.216 * [backup-simplify]: Simplify 0 into 0 8.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.218 * [backup-simplify]: Simplify (- 0) into 0 8.218 * [backup-simplify]: Simplify 0 into 0 8.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.219 * [backup-simplify]: Simplify 0 into 0 8.219 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 8.220 * [backup-simplify]: Simplify (+ 0 0) into 0 8.220 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 8.220 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 8.221 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) 0) (* (* 1/2 (/ PI (pow b 3))) (/ -1 b)))) into (- (* 1/2 (/ PI (pow b 4)))) 8.221 * [backup-simplify]: Simplify (+ 0 0) into 0 8.223 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 b))))) into 0 8.223 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) 8.224 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 4)))) (+ (* 0 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b))))) into (- (* 1/2 (/ PI (pow b 4)))) 8.224 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI (pow b 4)))) (- (* 1/2 (/ PI (pow b 4))))) into (- (/ PI (pow b 4))) 8.224 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 4))) in b 8.224 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 8.224 * [taylor]: Taking taylor expansion of PI in b 8.224 * [backup-simplify]: Simplify PI into PI 8.224 * [taylor]: Taking taylor expansion of (pow b 4) in b 8.224 * [taylor]: Taking taylor expansion of b in b 8.224 * [backup-simplify]: Simplify 0 into 0 8.224 * [backup-simplify]: Simplify 1 into 1 8.225 * [backup-simplify]: Simplify (* 1 1) into 1 8.225 * [backup-simplify]: Simplify (* 1 1) into 1 8.226 * [backup-simplify]: Simplify (/ PI 1) into PI 8.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.228 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.233 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.234 * [backup-simplify]: Simplify (- 0) into 0 8.234 * [backup-simplify]: Simplify 0 into 0 8.235 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 8.235 * [backup-simplify]: Simplify (fma (* PI (/ 1 (* (+ (/ 1 a) (/ 1 b)) 2))) (/ -1 (/ 1 b)) (/ (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 a))) into (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 8.235 * [approximate]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 8.235 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in b 8.235 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 8.235 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in b 8.235 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.235 * [taylor]: Taking taylor expansion of 1/2 in b 8.235 * [backup-simplify]: Simplify 1/2 into 1/2 8.236 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.236 * [taylor]: Taking taylor expansion of PI in b 8.236 * [backup-simplify]: Simplify PI into PI 8.236 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.236 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.236 * [taylor]: Taking taylor expansion of a in b 8.236 * [backup-simplify]: Simplify a into a 8.236 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.236 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.236 * [taylor]: Taking taylor expansion of b in b 8.236 * [backup-simplify]: Simplify 0 into 0 8.236 * [backup-simplify]: Simplify 1 into 1 8.236 * [backup-simplify]: Simplify (/ 1 1) into 1 8.237 * [backup-simplify]: Simplify (+ 0 1) into 1 8.237 * [backup-simplify]: Simplify (/ PI 1) into PI 8.237 * [taylor]: Taking taylor expansion of (* -1 b) in b 8.237 * [taylor]: Taking taylor expansion of -1 in b 8.237 * [backup-simplify]: Simplify -1 into -1 8.237 * [taylor]: Taking taylor expansion of b in b 8.237 * [backup-simplify]: Simplify 0 into 0 8.237 * [backup-simplify]: Simplify 1 into 1 8.237 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 8.237 * [taylor]: Taking taylor expansion of 1/2 in b 8.237 * [backup-simplify]: Simplify 1/2 into 1/2 8.237 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 8.237 * [taylor]: Taking taylor expansion of (* a PI) in b 8.237 * [taylor]: Taking taylor expansion of a in b 8.237 * [backup-simplify]: Simplify a into a 8.238 * [taylor]: Taking taylor expansion of PI in b 8.238 * [backup-simplify]: Simplify PI into PI 8.238 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.238 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.238 * [taylor]: Taking taylor expansion of a in b 8.238 * [backup-simplify]: Simplify a into a 8.238 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.238 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.238 * [taylor]: Taking taylor expansion of b in b 8.238 * [backup-simplify]: Simplify 0 into 0 8.238 * [backup-simplify]: Simplify 1 into 1 8.238 * [backup-simplify]: Simplify (/ 1 1) into 1 8.238 * [backup-simplify]: Simplify (* a PI) into (* a PI) 8.239 * [backup-simplify]: Simplify (+ 0 1) into 1 8.239 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 8.239 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 8.239 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 8.239 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in a 8.239 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.239 * [taylor]: Taking taylor expansion of 1/2 in a 8.239 * [backup-simplify]: Simplify 1/2 into 1/2 8.239 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.239 * [taylor]: Taking taylor expansion of PI in a 8.239 * [backup-simplify]: Simplify PI into PI 8.239 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.239 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.239 * [taylor]: Taking taylor expansion of a in a 8.239 * [backup-simplify]: Simplify 0 into 0 8.239 * [backup-simplify]: Simplify 1 into 1 8.240 * [backup-simplify]: Simplify (/ 1 1) into 1 8.240 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.240 * [taylor]: Taking taylor expansion of b in a 8.240 * [backup-simplify]: Simplify b into b 8.240 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.240 * [backup-simplify]: Simplify (+ 1 0) into 1 8.241 * [backup-simplify]: Simplify (/ PI 1) into PI 8.241 * [taylor]: Taking taylor expansion of (* -1 b) in a 8.241 * [taylor]: Taking taylor expansion of -1 in a 8.241 * [backup-simplify]: Simplify -1 into -1 8.241 * [taylor]: Taking taylor expansion of b in a 8.241 * [backup-simplify]: Simplify b into b 8.241 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.241 * [taylor]: Taking taylor expansion of 1/2 in a 8.241 * [backup-simplify]: Simplify 1/2 into 1/2 8.241 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.241 * [taylor]: Taking taylor expansion of (* a PI) in a 8.241 * [taylor]: Taking taylor expansion of a in a 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 1 into 1 8.241 * [taylor]: Taking taylor expansion of PI in a 8.241 * [backup-simplify]: Simplify PI into PI 8.241 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.241 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.241 * [taylor]: Taking taylor expansion of a in a 8.241 * [backup-simplify]: Simplify 0 into 0 8.241 * [backup-simplify]: Simplify 1 into 1 8.242 * [backup-simplify]: Simplify (/ 1 1) into 1 8.242 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.242 * [taylor]: Taking taylor expansion of b in a 8.242 * [backup-simplify]: Simplify b into b 8.242 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.242 * [backup-simplify]: Simplify (* 0 PI) into 0 8.244 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.244 * [backup-simplify]: Simplify (+ 1 0) into 1 8.244 * [backup-simplify]: Simplify (/ PI 1) into PI 8.245 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 8.245 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 8.245 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in a 8.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.245 * [taylor]: Taking taylor expansion of 1/2 in a 8.245 * [backup-simplify]: Simplify 1/2 into 1/2 8.245 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.245 * [taylor]: Taking taylor expansion of PI in a 8.245 * [backup-simplify]: Simplify PI into PI 8.245 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.245 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.245 * [taylor]: Taking taylor expansion of a in a 8.245 * [backup-simplify]: Simplify 0 into 0 8.245 * [backup-simplify]: Simplify 1 into 1 8.245 * [backup-simplify]: Simplify (/ 1 1) into 1 8.245 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.245 * [taylor]: Taking taylor expansion of b in a 8.245 * [backup-simplify]: Simplify b into b 8.245 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.246 * [backup-simplify]: Simplify (+ 1 0) into 1 8.246 * [backup-simplify]: Simplify (/ PI 1) into PI 8.246 * [taylor]: Taking taylor expansion of (* -1 b) in a 8.246 * [taylor]: Taking taylor expansion of -1 in a 8.246 * [backup-simplify]: Simplify -1 into -1 8.246 * [taylor]: Taking taylor expansion of b in a 8.246 * [backup-simplify]: Simplify b into b 8.246 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.246 * [taylor]: Taking taylor expansion of 1/2 in a 8.246 * [backup-simplify]: Simplify 1/2 into 1/2 8.246 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.246 * [taylor]: Taking taylor expansion of (* a PI) in a 8.246 * [taylor]: Taking taylor expansion of a in a 8.247 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify 1 into 1 8.247 * [taylor]: Taking taylor expansion of PI in a 8.247 * [backup-simplify]: Simplify PI into PI 8.247 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.247 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.247 * [taylor]: Taking taylor expansion of a in a 8.247 * [backup-simplify]: Simplify 0 into 0 8.247 * [backup-simplify]: Simplify 1 into 1 8.247 * [backup-simplify]: Simplify (/ 1 1) into 1 8.247 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.247 * [taylor]: Taking taylor expansion of b in a 8.247 * [backup-simplify]: Simplify b into b 8.247 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.248 * [backup-simplify]: Simplify (* 0 PI) into 0 8.249 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.250 * [backup-simplify]: Simplify (+ 1 0) into 1 8.250 * [backup-simplify]: Simplify (/ PI 1) into PI 8.251 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.251 * [backup-simplify]: Simplify (* -1 b) into (* -1 b) 8.251 * [backup-simplify]: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) 8.252 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 8.252 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI))) in b 8.252 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 8.252 * [taylor]: Taking taylor expansion of 1/2 in b 8.252 * [backup-simplify]: Simplify 1/2 into 1/2 8.252 * [taylor]: Taking taylor expansion of (* b PI) in b 8.252 * [taylor]: Taking taylor expansion of b in b 8.252 * [backup-simplify]: Simplify 0 into 0 8.252 * [backup-simplify]: Simplify 1 into 1 8.252 * [taylor]: Taking taylor expansion of PI in b 8.252 * [backup-simplify]: Simplify PI into PI 8.254 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.254 * [backup-simplify]: Simplify (* 0 PI) into 0 8.256 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 8.257 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 8.258 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 8.258 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 b)) into 0 8.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.259 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.260 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 8.261 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (* (- (* 1/2 (/ PI b))) (* -1 b))) into (* 1/2 PI) 8.262 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.263 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 1/2 PI)) into PI 8.263 * [taylor]: Taking taylor expansion of PI in b 8.263 * [backup-simplify]: Simplify PI into PI 8.263 * [backup-simplify]: Simplify 0 into 0 8.264 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 8.266 * [backup-simplify]: Simplify (- 0) into 0 8.266 * [backup-simplify]: Simplify 0 into 0 8.267 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 b))) into 0 8.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.268 * [backup-simplify]: Simplify (+ 0 0) into 0 8.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.270 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 8.271 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 0) (* (* 1/2 (/ PI (pow b 2))) (* -1 b)))) into (- (* 1/2 (/ PI b))) 8.272 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.273 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.275 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 8.275 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI b))) (- (* 1/2 (/ PI b)))) into (- (/ PI b)) 8.275 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 8.275 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.275 * [taylor]: Taking taylor expansion of PI in b 8.275 * [backup-simplify]: Simplify PI into PI 8.275 * [taylor]: Taking taylor expansion of b in b 8.275 * [backup-simplify]: Simplify 0 into 0 8.275 * [backup-simplify]: Simplify 1 into 1 8.276 * [backup-simplify]: Simplify (/ PI 1) into PI 8.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.279 * [backup-simplify]: Simplify (- 0) into 0 8.279 * [backup-simplify]: Simplify 0 into 0 8.279 * [backup-simplify]: Simplify 0 into 0 8.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.282 * [backup-simplify]: Simplify (- 0) into 0 8.282 * [backup-simplify]: Simplify 0 into 0 8.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 8.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 8.285 * [backup-simplify]: Simplify (+ 0 0) into 0 8.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ 0 1)) (* (/ PI (pow b 2)) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 3))) 8.287 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (+ (* 0 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI)))) into (- (* 1/2 (/ PI (pow b 3)))) 8.289 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 0) (+ (* (* 1/2 (/ PI (pow b 2))) 0) (* (- (* 1/2 (/ PI (pow b 3)))) (* -1 b))))) into (* 1/2 (/ PI (pow b 2))) 8.290 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.291 * [backup-simplify]: Simplify (+ 0 0) into 0 8.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.293 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 8.293 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (* 1/2 (/ PI (pow b 2)))) into (/ PI (pow b 2)) 8.293 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.293 * [taylor]: Taking taylor expansion of PI in b 8.293 * [backup-simplify]: Simplify PI into PI 8.294 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.294 * [taylor]: Taking taylor expansion of b in b 8.294 * [backup-simplify]: Simplify 0 into 0 8.294 * [backup-simplify]: Simplify 1 into 1 8.294 * [backup-simplify]: Simplify (* 1 1) into 1 8.294 * [backup-simplify]: Simplify (/ PI 1) into PI 8.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.300 * [backup-simplify]: Simplify 0 into 0 8.301 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) 8.302 * [backup-simplify]: Simplify (fma (* PI (/ 1 (* (+ (/ 1 (- a)) (/ 1 (- b))) 2))) (/ -1 (/ 1 (- b))) (/ (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (- a)))) into (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 8.302 * [approximate]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 8.302 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in b 8.302 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 8.302 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in b 8.302 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 8.302 * [taylor]: Taking taylor expansion of -1/2 in b 8.302 * [backup-simplify]: Simplify -1/2 into -1/2 8.302 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 8.302 * [taylor]: Taking taylor expansion of PI in b 8.302 * [backup-simplify]: Simplify PI into PI 8.302 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.302 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.302 * [taylor]: Taking taylor expansion of a in b 8.302 * [backup-simplify]: Simplify a into a 8.302 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.302 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.302 * [taylor]: Taking taylor expansion of b in b 8.302 * [backup-simplify]: Simplify 0 into 0 8.303 * [backup-simplify]: Simplify 1 into 1 8.303 * [backup-simplify]: Simplify (/ 1 1) into 1 8.303 * [backup-simplify]: Simplify (+ 0 1) into 1 8.304 * [backup-simplify]: Simplify (/ PI 1) into PI 8.304 * [taylor]: Taking taylor expansion of b in b 8.304 * [backup-simplify]: Simplify 0 into 0 8.304 * [backup-simplify]: Simplify 1 into 1 8.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 8.304 * [taylor]: Taking taylor expansion of 1/2 in b 8.304 * [backup-simplify]: Simplify 1/2 into 1/2 8.304 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 8.304 * [taylor]: Taking taylor expansion of (* a PI) in b 8.304 * [taylor]: Taking taylor expansion of a in b 8.304 * [backup-simplify]: Simplify a into a 8.304 * [taylor]: Taking taylor expansion of PI in b 8.304 * [backup-simplify]: Simplify PI into PI 8.304 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.304 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.305 * [taylor]: Taking taylor expansion of a in b 8.305 * [backup-simplify]: Simplify a into a 8.305 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.305 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.305 * [taylor]: Taking taylor expansion of b in b 8.305 * [backup-simplify]: Simplify 0 into 0 8.305 * [backup-simplify]: Simplify 1 into 1 8.305 * [backup-simplify]: Simplify (/ 1 1) into 1 8.305 * [backup-simplify]: Simplify (* a PI) into (* a PI) 8.306 * [backup-simplify]: Simplify (+ 0 1) into 1 8.306 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 8.306 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 8.306 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 8.306 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in a 8.306 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.306 * [taylor]: Taking taylor expansion of -1/2 in a 8.306 * [backup-simplify]: Simplify -1/2 into -1/2 8.306 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.306 * [taylor]: Taking taylor expansion of PI in a 8.306 * [backup-simplify]: Simplify PI into PI 8.306 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.306 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.306 * [taylor]: Taking taylor expansion of a in a 8.306 * [backup-simplify]: Simplify 0 into 0 8.306 * [backup-simplify]: Simplify 1 into 1 8.306 * [backup-simplify]: Simplify (/ 1 1) into 1 8.307 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.307 * [taylor]: Taking taylor expansion of b in a 8.307 * [backup-simplify]: Simplify b into b 8.307 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.307 * [backup-simplify]: Simplify (+ 1 0) into 1 8.308 * [backup-simplify]: Simplify (/ PI 1) into PI 8.308 * [taylor]: Taking taylor expansion of b in a 8.308 * [backup-simplify]: Simplify b into b 8.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.308 * [taylor]: Taking taylor expansion of 1/2 in a 8.308 * [backup-simplify]: Simplify 1/2 into 1/2 8.308 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.308 * [taylor]: Taking taylor expansion of (* a PI) in a 8.308 * [taylor]: Taking taylor expansion of a in a 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify 1 into 1 8.308 * [taylor]: Taking taylor expansion of PI in a 8.308 * [backup-simplify]: Simplify PI into PI 8.308 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.308 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.308 * [taylor]: Taking taylor expansion of a in a 8.308 * [backup-simplify]: Simplify 0 into 0 8.308 * [backup-simplify]: Simplify 1 into 1 8.308 * [backup-simplify]: Simplify (/ 1 1) into 1 8.308 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.308 * [taylor]: Taking taylor expansion of b in a 8.309 * [backup-simplify]: Simplify b into b 8.309 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.309 * [backup-simplify]: Simplify (* 0 PI) into 0 8.311 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.311 * [backup-simplify]: Simplify (+ 1 0) into 1 8.312 * [backup-simplify]: Simplify (/ PI 1) into PI 8.312 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 8.312 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 8.312 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in a 8.312 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 8.312 * [taylor]: Taking taylor expansion of -1/2 in a 8.312 * [backup-simplify]: Simplify -1/2 into -1/2 8.312 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 8.312 * [taylor]: Taking taylor expansion of PI in a 8.312 * [backup-simplify]: Simplify PI into PI 8.312 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.312 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.312 * [taylor]: Taking taylor expansion of a in a 8.312 * [backup-simplify]: Simplify 0 into 0 8.312 * [backup-simplify]: Simplify 1 into 1 8.312 * [backup-simplify]: Simplify (/ 1 1) into 1 8.312 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.312 * [taylor]: Taking taylor expansion of b in a 8.312 * [backup-simplify]: Simplify b into b 8.313 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.313 * [backup-simplify]: Simplify (+ 1 0) into 1 8.314 * [backup-simplify]: Simplify (/ PI 1) into PI 8.314 * [taylor]: Taking taylor expansion of b in a 8.314 * [backup-simplify]: Simplify b into b 8.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.314 * [taylor]: Taking taylor expansion of 1/2 in a 8.314 * [backup-simplify]: Simplify 1/2 into 1/2 8.314 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.314 * [taylor]: Taking taylor expansion of (* a PI) in a 8.314 * [taylor]: Taking taylor expansion of a in a 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify 1 into 1 8.314 * [taylor]: Taking taylor expansion of PI in a 8.314 * [backup-simplify]: Simplify PI into PI 8.314 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.314 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.314 * [taylor]: Taking taylor expansion of a in a 8.314 * [backup-simplify]: Simplify 0 into 0 8.314 * [backup-simplify]: Simplify 1 into 1 8.314 * [backup-simplify]: Simplify (/ 1 1) into 1 8.314 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.314 * [taylor]: Taking taylor expansion of b in a 8.314 * [backup-simplify]: Simplify b into b 8.314 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.315 * [backup-simplify]: Simplify (* 0 PI) into 0 8.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.320 * [backup-simplify]: Simplify (+ 1 0) into 1 8.320 * [backup-simplify]: Simplify (/ PI 1) into PI 8.321 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 8.322 * [backup-simplify]: Simplify (* (* -1/2 PI) b) into (* -1/2 (* b PI)) 8.322 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 8.322 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI))) in b 8.322 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 8.322 * [taylor]: Taking taylor expansion of 1/2 in b 8.322 * [backup-simplify]: Simplify 1/2 into 1/2 8.322 * [taylor]: Taking taylor expansion of (* b PI) in b 8.322 * [taylor]: Taking taylor expansion of b in b 8.322 * [backup-simplify]: Simplify 0 into 0 8.322 * [backup-simplify]: Simplify 1 into 1 8.322 * [taylor]: Taking taylor expansion of PI in b 8.322 * [backup-simplify]: Simplify PI into PI 8.323 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.324 * [backup-simplify]: Simplify (* 0 PI) into 0 8.325 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 8.326 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 8.327 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 8.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.328 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.329 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 8.330 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (* (* 1/2 (/ PI b)) b)) into (* 1/2 PI) 8.331 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.332 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 1/2 PI)) into PI 8.332 * [taylor]: Taking taylor expansion of PI in b 8.332 * [backup-simplify]: Simplify PI into PI 8.332 * [backup-simplify]: Simplify 0 into 0 8.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 8.335 * [backup-simplify]: Simplify (- 0) into 0 8.335 * [backup-simplify]: Simplify 0 into 0 8.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.336 * [backup-simplify]: Simplify (+ 0 0) into 0 8.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.338 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 8.339 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) 0) (* (- (* 1/2 (/ PI (pow b 2)))) b))) into (- (* 1/2 (/ PI b))) 8.340 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.341 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.342 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 8.342 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI b))) (- (* 1/2 (/ PI b)))) into (- (/ PI b)) 8.343 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 8.343 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.343 * [taylor]: Taking taylor expansion of PI in b 8.343 * [backup-simplify]: Simplify PI into PI 8.343 * [taylor]: Taking taylor expansion of b in b 8.343 * [backup-simplify]: Simplify 0 into 0 8.343 * [backup-simplify]: Simplify 1 into 1 8.343 * [backup-simplify]: Simplify (/ PI 1) into PI 8.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.346 * [backup-simplify]: Simplify (- 0) into 0 8.346 * [backup-simplify]: Simplify 0 into 0 8.346 * [backup-simplify]: Simplify 0 into 0 8.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 8.349 * [backup-simplify]: Simplify (- 0) into 0 8.349 * [backup-simplify]: Simplify 0 into 0 8.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 8.351 * [backup-simplify]: Simplify (+ 0 0) into 0 8.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ 0 1)) (* (/ PI (pow b 2)) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 3))) 8.353 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI (pow b 3)))) (+ (* 0 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI)))) into (* 1/2 (/ PI (pow b 3))) 8.355 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) 0) (* (* 1/2 (/ PI (pow b 3))) b)))) into (* 1/2 (/ PI (pow b 2))) 8.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.358 * [backup-simplify]: Simplify (+ 0 0) into 0 8.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.361 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 8.361 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (* 1/2 (/ PI (pow b 2)))) into (/ PI (pow b 2)) 8.361 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.361 * [taylor]: Taking taylor expansion of PI in b 8.361 * [backup-simplify]: Simplify PI into PI 8.361 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.361 * [taylor]: Taking taylor expansion of b in b 8.361 * [backup-simplify]: Simplify 0 into 0 8.361 * [backup-simplify]: Simplify 1 into 1 8.362 * [backup-simplify]: Simplify (* 1 1) into 1 8.362 * [backup-simplify]: Simplify (/ PI 1) into PI 8.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.368 * [backup-simplify]: Simplify 0 into 0 8.369 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) 8.369 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 3) 8.369 * [backup-simplify]: Simplify (/ (/ PI (* (+ a b) 2)) a) into (* 1/2 (/ PI (* a (+ a b)))) 8.369 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 8.369 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 8.369 * [taylor]: Taking taylor expansion of 1/2 in b 8.369 * [backup-simplify]: Simplify 1/2 into 1/2 8.369 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 8.369 * [taylor]: Taking taylor expansion of PI in b 8.369 * [backup-simplify]: Simplify PI into PI 8.369 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 8.370 * [taylor]: Taking taylor expansion of a in b 8.370 * [backup-simplify]: Simplify a into a 8.370 * [taylor]: Taking taylor expansion of (+ a b) in b 8.370 * [taylor]: Taking taylor expansion of a in b 8.370 * [backup-simplify]: Simplify a into a 8.370 * [taylor]: Taking taylor expansion of b in b 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [backup-simplify]: Simplify (+ a 0) into a 8.370 * [backup-simplify]: Simplify (* a a) into (pow a 2) 8.370 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 8.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 8.370 * [taylor]: Taking taylor expansion of 1/2 in a 8.370 * [backup-simplify]: Simplify 1/2 into 1/2 8.370 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 8.370 * [taylor]: Taking taylor expansion of PI in a 8.370 * [backup-simplify]: Simplify PI into PI 8.370 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 8.370 * [taylor]: Taking taylor expansion of a in a 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [taylor]: Taking taylor expansion of (+ a b) in a 8.370 * [taylor]: Taking taylor expansion of a in a 8.370 * [backup-simplify]: Simplify 0 into 0 8.370 * [backup-simplify]: Simplify 1 into 1 8.370 * [taylor]: Taking taylor expansion of b in a 8.370 * [backup-simplify]: Simplify b into b 8.370 * [backup-simplify]: Simplify (+ 0 b) into b 8.370 * [backup-simplify]: Simplify (* 0 b) into 0 8.371 * [backup-simplify]: Simplify (+ 1 0) into 1 8.371 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 8.371 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 8.372 * [taylor]: Taking taylor expansion of 1/2 in a 8.372 * [backup-simplify]: Simplify 1/2 into 1/2 8.372 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 8.372 * [taylor]: Taking taylor expansion of PI in a 8.372 * [backup-simplify]: Simplify PI into PI 8.372 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 8.372 * [taylor]: Taking taylor expansion of a in a 8.372 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify 1 into 1 8.372 * [taylor]: Taking taylor expansion of (+ a b) in a 8.372 * [taylor]: Taking taylor expansion of a in a 8.372 * [backup-simplify]: Simplify 0 into 0 8.372 * [backup-simplify]: Simplify 1 into 1 8.372 * [taylor]: Taking taylor expansion of b in a 8.372 * [backup-simplify]: Simplify b into b 8.372 * [backup-simplify]: Simplify (+ 0 b) into b 8.372 * [backup-simplify]: Simplify (* 0 b) into 0 8.372 * [backup-simplify]: Simplify (+ 1 0) into 1 8.373 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 8.373 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 8.373 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 8.373 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.373 * [taylor]: Taking taylor expansion of 1/2 in b 8.373 * [backup-simplify]: Simplify 1/2 into 1/2 8.373 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.373 * [taylor]: Taking taylor expansion of PI in b 8.373 * [backup-simplify]: Simplify PI into PI 8.373 * [taylor]: Taking taylor expansion of b in b 8.373 * [backup-simplify]: Simplify 0 into 0 8.373 * [backup-simplify]: Simplify 1 into 1 8.374 * [backup-simplify]: Simplify (/ PI 1) into PI 8.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.376 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.376 * [backup-simplify]: Simplify 0 into 0 8.376 * [backup-simplify]: Simplify (+ 0 0) into 0 8.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 8.377 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 8.377 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 8.377 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 8.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.377 * [taylor]: Taking taylor expansion of 1/2 in b 8.378 * [backup-simplify]: Simplify 1/2 into 1/2 8.378 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.378 * [taylor]: Taking taylor expansion of PI in b 8.378 * [backup-simplify]: Simplify PI into PI 8.378 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.378 * [taylor]: Taking taylor expansion of b in b 8.378 * [backup-simplify]: Simplify 0 into 0 8.378 * [backup-simplify]: Simplify 1 into 1 8.378 * [backup-simplify]: Simplify (* 1 1) into 1 8.379 * [backup-simplify]: Simplify (/ PI 1) into PI 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.384 * [backup-simplify]: Simplify (- 0) into 0 8.384 * [backup-simplify]: Simplify 0 into 0 8.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.386 * [backup-simplify]: Simplify 0 into 0 8.386 * [backup-simplify]: Simplify (+ 0 0) into 0 8.387 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 8.388 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 8.388 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 8.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 8.388 * [taylor]: Taking taylor expansion of 1/2 in b 8.388 * [backup-simplify]: Simplify 1/2 into 1/2 8.388 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 8.388 * [taylor]: Taking taylor expansion of PI in b 8.388 * [backup-simplify]: Simplify PI into PI 8.388 * [taylor]: Taking taylor expansion of (pow b 3) in b 8.388 * [taylor]: Taking taylor expansion of b in b 8.388 * [backup-simplify]: Simplify 0 into 0 8.388 * [backup-simplify]: Simplify 1 into 1 8.389 * [backup-simplify]: Simplify (* 1 1) into 1 8.389 * [backup-simplify]: Simplify (* 1 1) into 1 8.390 * [backup-simplify]: Simplify (/ PI 1) into PI 8.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.398 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.400 * [backup-simplify]: Simplify 0 into 0 8.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.403 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.404 * [backup-simplify]: Simplify (- 0) into 0 8.404 * [backup-simplify]: Simplify 0 into 0 8.405 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.406 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify 0 into 0 8.406 * [backup-simplify]: Simplify (/ (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 a)) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 8.406 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.407 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 8.407 * [taylor]: Taking taylor expansion of 1/2 in b 8.407 * [backup-simplify]: Simplify 1/2 into 1/2 8.407 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 8.407 * [taylor]: Taking taylor expansion of (* a PI) in b 8.407 * [taylor]: Taking taylor expansion of a in b 8.407 * [backup-simplify]: Simplify a into a 8.407 * [taylor]: Taking taylor expansion of PI in b 8.407 * [backup-simplify]: Simplify PI into PI 8.407 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.407 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.407 * [taylor]: Taking taylor expansion of a in b 8.407 * [backup-simplify]: Simplify a into a 8.407 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.407 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.407 * [taylor]: Taking taylor expansion of b in b 8.407 * [backup-simplify]: Simplify 0 into 0 8.407 * [backup-simplify]: Simplify 1 into 1 8.407 * [backup-simplify]: Simplify (/ 1 1) into 1 8.407 * [backup-simplify]: Simplify (* a PI) into (* a PI) 8.408 * [backup-simplify]: Simplify (+ 0 1) into 1 8.408 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 8.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.408 * [taylor]: Taking taylor expansion of 1/2 in a 8.408 * [backup-simplify]: Simplify 1/2 into 1/2 8.408 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.408 * [taylor]: Taking taylor expansion of (* a PI) in a 8.408 * [taylor]: Taking taylor expansion of a in a 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 1 into 1 8.408 * [taylor]: Taking taylor expansion of PI in a 8.408 * [backup-simplify]: Simplify PI into PI 8.408 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.408 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.408 * [taylor]: Taking taylor expansion of a in a 8.408 * [backup-simplify]: Simplify 0 into 0 8.408 * [backup-simplify]: Simplify 1 into 1 8.409 * [backup-simplify]: Simplify (/ 1 1) into 1 8.409 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.409 * [taylor]: Taking taylor expansion of b in a 8.409 * [backup-simplify]: Simplify b into b 8.409 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.409 * [backup-simplify]: Simplify (* 0 PI) into 0 8.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.411 * [backup-simplify]: Simplify (+ 1 0) into 1 8.412 * [backup-simplify]: Simplify (/ PI 1) into PI 8.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.412 * [taylor]: Taking taylor expansion of 1/2 in a 8.412 * [backup-simplify]: Simplify 1/2 into 1/2 8.412 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.412 * [taylor]: Taking taylor expansion of (* a PI) in a 8.412 * [taylor]: Taking taylor expansion of a in a 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 1 into 1 8.412 * [taylor]: Taking taylor expansion of PI in a 8.412 * [backup-simplify]: Simplify PI into PI 8.412 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.412 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.412 * [taylor]: Taking taylor expansion of a in a 8.412 * [backup-simplify]: Simplify 0 into 0 8.412 * [backup-simplify]: Simplify 1 into 1 8.413 * [backup-simplify]: Simplify (/ 1 1) into 1 8.413 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.413 * [taylor]: Taking taylor expansion of b in a 8.413 * [backup-simplify]: Simplify b into b 8.413 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.413 * [backup-simplify]: Simplify (* 0 PI) into 0 8.415 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.416 * [backup-simplify]: Simplify (+ 1 0) into 1 8.416 * [backup-simplify]: Simplify (/ PI 1) into PI 8.417 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.417 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 8.417 * [taylor]: Taking taylor expansion of 1/2 in b 8.417 * [backup-simplify]: Simplify 1/2 into 1/2 8.417 * [taylor]: Taking taylor expansion of PI in b 8.417 * [backup-simplify]: Simplify PI into PI 8.418 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.418 * [backup-simplify]: Simplify 0 into 0 8.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.420 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.421 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 8.421 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 8.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.421 * [taylor]: Taking taylor expansion of 1/2 in b 8.421 * [backup-simplify]: Simplify 1/2 into 1/2 8.421 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.421 * [taylor]: Taking taylor expansion of PI in b 8.421 * [backup-simplify]: Simplify PI into PI 8.421 * [taylor]: Taking taylor expansion of b in b 8.421 * [backup-simplify]: Simplify 0 into 0 8.421 * [backup-simplify]: Simplify 1 into 1 8.421 * [backup-simplify]: Simplify (/ PI 1) into PI 8.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.425 * [backup-simplify]: Simplify (- 0) into 0 8.425 * [backup-simplify]: Simplify 0 into 0 8.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.426 * [backup-simplify]: Simplify 0 into 0 8.427 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.429 * [backup-simplify]: Simplify (+ 0 0) into 0 8.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.431 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 8.431 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.431 * [taylor]: Taking taylor expansion of 1/2 in b 8.431 * [backup-simplify]: Simplify 1/2 into 1/2 8.431 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.431 * [taylor]: Taking taylor expansion of PI in b 8.431 * [backup-simplify]: Simplify PI into PI 8.431 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.431 * [taylor]: Taking taylor expansion of b in b 8.431 * [backup-simplify]: Simplify 0 into 0 8.431 * [backup-simplify]: Simplify 1 into 1 8.431 * [backup-simplify]: Simplify (* 1 1) into 1 8.432 * [backup-simplify]: Simplify (/ PI 1) into PI 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.434 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.439 * [backup-simplify]: Simplify 0 into 0 8.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.441 * [backup-simplify]: Simplify (- 0) into 0 8.441 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify 0 into 0 8.443 * [backup-simplify]: Simplify (/ (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 8.443 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 8.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 8.443 * [taylor]: Taking taylor expansion of 1/2 in b 8.443 * [backup-simplify]: Simplify 1/2 into 1/2 8.443 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 8.443 * [taylor]: Taking taylor expansion of (* a PI) in b 8.443 * [taylor]: Taking taylor expansion of a in b 8.443 * [backup-simplify]: Simplify a into a 8.443 * [taylor]: Taking taylor expansion of PI in b 8.443 * [backup-simplify]: Simplify PI into PI 8.443 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 8.443 * [taylor]: Taking taylor expansion of (/ 1 a) in b 8.443 * [taylor]: Taking taylor expansion of a in b 8.443 * [backup-simplify]: Simplify a into a 8.443 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 8.444 * [taylor]: Taking taylor expansion of (/ 1 b) in b 8.444 * [taylor]: Taking taylor expansion of b in b 8.444 * [backup-simplify]: Simplify 0 into 0 8.444 * [backup-simplify]: Simplify 1 into 1 8.444 * [backup-simplify]: Simplify (/ 1 1) into 1 8.444 * [backup-simplify]: Simplify (* a PI) into (* a PI) 8.444 * [backup-simplify]: Simplify (+ 0 1) into 1 8.445 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 8.445 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.445 * [taylor]: Taking taylor expansion of 1/2 in a 8.445 * [backup-simplify]: Simplify 1/2 into 1/2 8.445 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.445 * [taylor]: Taking taylor expansion of (* a PI) in a 8.445 * [taylor]: Taking taylor expansion of a in a 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 1 into 1 8.445 * [taylor]: Taking taylor expansion of PI in a 8.445 * [backup-simplify]: Simplify PI into PI 8.445 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.445 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.445 * [taylor]: Taking taylor expansion of a in a 8.445 * [backup-simplify]: Simplify 0 into 0 8.445 * [backup-simplify]: Simplify 1 into 1 8.445 * [backup-simplify]: Simplify (/ 1 1) into 1 8.445 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.445 * [taylor]: Taking taylor expansion of b in a 8.445 * [backup-simplify]: Simplify b into b 8.445 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.446 * [backup-simplify]: Simplify (* 0 PI) into 0 8.448 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.448 * [backup-simplify]: Simplify (+ 1 0) into 1 8.448 * [backup-simplify]: Simplify (/ PI 1) into PI 8.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 8.449 * [taylor]: Taking taylor expansion of 1/2 in a 8.449 * [backup-simplify]: Simplify 1/2 into 1/2 8.449 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 8.449 * [taylor]: Taking taylor expansion of (* a PI) in a 8.449 * [taylor]: Taking taylor expansion of a in a 8.449 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify 1 into 1 8.449 * [taylor]: Taking taylor expansion of PI in a 8.449 * [backup-simplify]: Simplify PI into PI 8.449 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 8.449 * [taylor]: Taking taylor expansion of (/ 1 a) in a 8.449 * [taylor]: Taking taylor expansion of a in a 8.449 * [backup-simplify]: Simplify 0 into 0 8.449 * [backup-simplify]: Simplify 1 into 1 8.449 * [backup-simplify]: Simplify (/ 1 1) into 1 8.449 * [taylor]: Taking taylor expansion of (/ 1 b) in a 8.449 * [taylor]: Taking taylor expansion of b in a 8.449 * [backup-simplify]: Simplify b into b 8.449 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 8.450 * [backup-simplify]: Simplify (* 0 PI) into 0 8.451 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 8.452 * [backup-simplify]: Simplify (+ 1 0) into 1 8.452 * [backup-simplify]: Simplify (/ PI 1) into PI 8.453 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 8.453 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 8.453 * [taylor]: Taking taylor expansion of 1/2 in b 8.453 * [backup-simplify]: Simplify 1/2 into 1/2 8.453 * [taylor]: Taking taylor expansion of PI in b 8.453 * [backup-simplify]: Simplify PI into PI 8.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 8.454 * [backup-simplify]: Simplify 0 into 0 8.455 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 8.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.456 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 8.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 8.457 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 8.457 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 8.457 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 8.457 * [taylor]: Taking taylor expansion of 1/2 in b 8.457 * [backup-simplify]: Simplify 1/2 into 1/2 8.457 * [taylor]: Taking taylor expansion of (/ PI b) in b 8.457 * [taylor]: Taking taylor expansion of PI in b 8.457 * [backup-simplify]: Simplify PI into PI 8.457 * [taylor]: Taking taylor expansion of b in b 8.457 * [backup-simplify]: Simplify 0 into 0 8.457 * [backup-simplify]: Simplify 1 into 1 8.458 * [backup-simplify]: Simplify (/ PI 1) into PI 8.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.461 * [backup-simplify]: Simplify (- 0) into 0 8.461 * [backup-simplify]: Simplify 0 into 0 8.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 8.463 * [backup-simplify]: Simplify 0 into 0 8.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 8.468 * [backup-simplify]: Simplify (+ 0 0) into 0 8.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 8.471 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 8.471 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 8.471 * [taylor]: Taking taylor expansion of 1/2 in b 8.471 * [backup-simplify]: Simplify 1/2 into 1/2 8.471 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 8.471 * [taylor]: Taking taylor expansion of PI in b 8.471 * [backup-simplify]: Simplify PI into PI 8.471 * [taylor]: Taking taylor expansion of (pow b 2) in b 8.471 * [taylor]: Taking taylor expansion of b in b 8.471 * [backup-simplify]: Simplify 0 into 0 8.471 * [backup-simplify]: Simplify 1 into 1 8.471 * [backup-simplify]: Simplify (* 1 1) into 1 8.472 * [backup-simplify]: Simplify (/ PI 1) into PI 8.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 8.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.478 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.479 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.479 * [backup-simplify]: Simplify 0 into 0 8.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.480 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.481 * [backup-simplify]: Simplify (- 0) into 0 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 8.481 * [backup-simplify]: Simplify 0 into 0 8.481 * [backup-simplify]: Simplify 0 into 0 8.482 * * * [progress]: simplifying candidates 8.482 * * * * [progress]: [ 1 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 2 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 3 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 4 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 5 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 6 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 7 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 8 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 9 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 10 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 11 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 12 / 141 ] simplifiying candidate # 8.482 * * * * [progress]: [ 13 / 141 ] 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8.485 * * * * [progress]: [ 76 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 77 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 78 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 79 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 80 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 81 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 82 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 83 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 84 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 85 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 86 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 87 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 88 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 89 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 90 / 141 ] simplifiying candidate # 8.485 * * * * [progress]: [ 91 / 141 ] 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* * * [progress]: [ 107 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 108 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 109 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 110 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 111 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 112 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 113 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 114 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 115 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 116 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 117 / 141 ] simplifiying candidate # 8.486 * * * * [progress]: [ 118 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 119 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 120 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 121 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 122 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 123 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 124 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 125 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 126 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 127 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 128 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 129 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 130 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 131 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 132 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 133 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 134 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 135 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 136 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 137 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 138 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 139 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 140 / 141 ] simplifiying candidate # 8.487 * * * * [progress]: [ 141 / 141 ] simplifiying candidate # 8.489 * [simplify]: Simplifying: (expm1 (* PI (/ 1 (* (+ a b) 2)))) (log1p (* PI (/ 1 (* (+ a b) 2)))) (* PI (/ 1 (* (+ a b) 2))) (+ (log PI) (- (+ (log (+ a b)) (log 2)))) (+ (log PI) (- (log (* (+ a b) 2)))) (+ (log PI) (- 0 (+ (log (+ a b)) (log 2)))) (+ (log PI) (- 0 (log (* (+ a b) 2)))) (+ (log PI) (- (log 1) (+ (log (+ a b)) (log 2)))) (+ (log PI) (- (log 1) (log (* (+ a b) 2)))) (+ (log PI) (log (/ 1 (* (+ a b) 2)))) (log (* PI (/ 1 (* (+ a b) 2)))) (exp (* PI (/ 1 (* (+ a b) 2)))) (* (* (* PI PI) PI) (/ (* (* 1 1) 1) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2)))) (* (* (* PI PI) PI) (/ (* (* 1 1) 1) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2)))) (* (* (* PI PI) PI) (* (* (/ 1 (* (+ a b) 2)) (/ 1 (* (+ a b) 2))) (/ 1 (* (+ a b) 2)))) (* (cbrt (* PI (/ 1 (* (+ a b) 2)))) (cbrt (* PI (/ 1 (* (+ a b) 2))))) (cbrt (* PI (/ 1 (* (+ a b) 2)))) (* (* (* PI (/ 1 (* (+ a b) 2))) (* PI (/ 1 (* (+ a b) 2)))) (* PI (/ 1 (* (+ a b) 2)))) (sqrt (* PI (/ 1 (* (+ a b) 2)))) (sqrt (* PI (/ 1 (* (+ a b) 2)))) (* (sqrt PI) (sqrt (/ 1 (* (+ a b) 2)))) (* (sqrt PI) (sqrt (/ 1 (* (+ a b) 2)))) (* PI (* (cbrt (/ 1 (* (+ a b) 2))) (cbrt (/ 1 (* (+ a b) 2))))) (* PI (sqrt (/ 1 (* (+ a b) 2)))) (* PI (/ (* (cbrt 1) (cbrt 1)) (+ a b))) (* PI (/ (sqrt 1) (+ a b))) (* PI (/ 1 (+ a b))) (* PI 1) (* PI 1) (* PI (/ 1 (* (+ (pow a 3) (pow b 3)) 2))) (* PI (/ 1 (* (- (* a a) (* b b)) 2))) (* (cbrt PI) (/ 1 (* (+ a b) 2))) (* (sqrt PI) (/ 1 (* (+ a b) 2))) (* PI (/ 1 (* (+ a b) 2))) (* PI 1) (expm1 (/ PI (* (+ a b) 2))) (log1p (/ PI (* (+ a b) 2))) (- (log PI) (+ (log (+ a b)) (log 2))) (- (log PI) (log (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (exp (/ PI (* (+ a b) 2))) (/ (* (* PI PI) PI) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2))) (/ (* (* PI PI) PI) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (cbrt (/ PI (* (+ a b) 2))) (* (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2))) (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (- PI) (- (* (+ a b) 2)) (/ (* (cbrt PI) (cbrt PI)) (+ a b)) (/ (cbrt PI) 2) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 2) (/ 1 (+ a b)) (/ PI 2) (/ 1 (* (+ a b) 2)) (/ (* (+ a b) 2) PI) (/ PI (+ a b)) (/ (* (+ a b) 2) (cbrt PI)) (/ (* (+ a b) 2) (sqrt PI)) (/ (* (+ a b) 2) PI) (/ PI (* (+ (pow a 3) (pow b 3)) 2)) (/ PI (* (- (* a a) (* b b)) 2)) (expm1 (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (log1p (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (* (* PI (/ 1 (* (+ a b) 2))) (/ -1 b)) (log (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (exp (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (* (cbrt (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (cbrt (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a)))) (cbrt (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (* (* (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a)) (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (sqrt (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (sqrt (fma (* PI (/ 1 (* (+ a b) 2))) (/ -1 b) (/ (/ PI (* (+ a b) 2)) a))) (expm1 (/ (/ PI (* (+ a b) 2)) a)) (log1p (/ (/ PI (* (+ a b) 2)) a)) (- (- (log PI) (+ (log (+ a b)) (log 2))) (log a)) (- (- (log PI) (log (* (+ a b) 2))) (log a)) (- (log (/ PI (* (+ a b) 2))) (log a)) (log (/ (/ PI (* (+ a b) 2)) a)) (exp (/ (/ PI (* (+ a b) 2)) a)) (/ (/ (* (* PI PI) PI) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2))) (* (* a a) a)) (/ (/ (* (* PI PI) PI) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (* a a) a)) (/ (* (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2))) (/ PI (* (+ a b) 2))) (* (* a a) a)) (* (cbrt (/ (/ PI (* (+ a b) 2)) a)) (cbrt (/ (/ PI (* (+ a b) 2)) a))) (cbrt (/ (/ PI (* (+ a b) 2)) a)) (* (* (/ (/ PI (* (+ a b) 2)) a) (/ (/ PI (* (+ a b) 2)) a)) (/ (/ PI (* (+ a b) 2)) a)) (sqrt (/ (/ PI (* (+ a b) 2)) a)) (sqrt (/ (/ PI (* (+ a b) 2)) a)) (- (/ PI (* (+ a b) 2))) (- a) (/ (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (* (cbrt a) (cbrt a))) (/ (cbrt (/ PI (* (+ a b) 2))) (cbrt a)) (/ (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (sqrt a)) (/ (cbrt (/ PI (* (+ a b) 2))) (sqrt a)) (/ (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) 1) (/ (cbrt (/ PI (* (+ a b) 2))) a) (/ (sqrt (/ PI (* (+ a b) 2))) (* (cbrt a) (cbrt a))) (/ (sqrt (/ PI (* (+ a b) 2))) (cbrt a)) (/ (sqrt (/ PI (* (+ a b) 2))) (sqrt a)) (/ (sqrt (/ PI (* (+ a b) 2))) (sqrt a)) (/ (sqrt (/ PI (* (+ a b) 2))) 1) (/ (sqrt (/ PI (* (+ a b) 2))) a) (/ (/ (* (cbrt PI) (cbrt PI)) (+ a b)) (* (cbrt a) (cbrt a))) (/ (/ (cbrt PI) 2) (cbrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (+ a b)) (sqrt a)) (/ (/ (cbrt PI) 2) (sqrt a)) (/ (/ (* (cbrt PI) (cbrt PI)) (+ a b)) 1) (/ (/ (cbrt PI) 2) a) (/ (/ (sqrt PI) (+ a b)) (* (cbrt a) (cbrt a))) (/ (/ (sqrt PI) 2) (cbrt a)) (/ (/ (sqrt PI) (+ a b)) (sqrt a)) (/ (/ (sqrt PI) 2) (sqrt a)) (/ (/ (sqrt PI) (+ a b)) 1) (/ (/ (sqrt PI) 2) a) (/ (/ 1 (+ a b)) (* (cbrt a) (cbrt a))) (/ (/ PI 2) (cbrt a)) (/ (/ 1 (+ a b)) (sqrt a)) (/ (/ PI 2) (sqrt a)) (/ (/ 1 (+ a b)) 1) (/ (/ PI 2) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (/ PI (* (+ a b) 2)) (cbrt a)) (/ 1 (sqrt a)) (/ (/ PI (* (+ a b) 2)) (sqrt a)) (/ 1 1) (/ (/ PI (* (+ a b) 2)) a) (/ PI (* (cbrt a) (cbrt a))) (/ (/ 1 (* (+ a b) 2)) (cbrt a)) (/ PI (sqrt a)) (/ (/ 1 (* (+ a b) 2)) (sqrt a)) (/ PI 1) (/ (/ 1 (* (+ a b) 2)) a) (/ (/ PI (* (+ (pow a 3) (pow b 3)) 2)) (* (cbrt a) (cbrt a))) (/ (+ (* a a) (- (* b b) (* a b))) (cbrt a)) (/ (/ PI (* (+ (pow a 3) (pow b 3)) 2)) (sqrt a)) (/ (+ (* a a) (- (* b b) (* a b))) (sqrt a)) (/ (/ PI (* (+ (pow a 3) (pow b 3)) 2)) 1) (/ (+ (* a a) (- (* b b) (* a b))) a) (/ (/ PI (* (- (* a a) (* b b)) 2)) (* (cbrt a) (cbrt a))) (/ (- a b) (cbrt a)) (/ (/ PI (* (- (* a a) (* b b)) 2)) (sqrt a)) (/ (- a b) (sqrt a)) (/ (/ PI (* (- (* a a) (* b b)) 2)) 1) (/ (- a b) a) (/ 1 a) (/ a (/ PI (* (+ a b) 2))) (/ (/ PI (* (+ a b) 2)) (* (cbrt a) (cbrt a))) (/ (/ PI (* (+ a b) 2)) (sqrt a)) (/ (/ PI (* (+ a b) 2)) 1) (/ a (cbrt (/ PI (* (+ a b) 2)))) (/ a (sqrt (/ PI (* (+ a b) 2)))) (/ a (/ (cbrt PI) 2)) (/ a (/ (sqrt PI) 2)) (/ a (/ PI 2)) (/ a (/ PI (* (+ a b) 2))) (/ a (/ 1 (* (+ a b) 2))) (/ a (+ (* a a) (- (* b b) (* a b)))) (/ a (- a b)) (* a (* (+ a b) 2)) 0 0 0 0 0 0 (* 1/2 (/ PI (* a b))) (* -1/2 (/ PI (* a b))) (* -1/2 (/ PI (* a b))) 0 0 0 8.491 * * [simplify]: iteration 1: (228 enodes) 8.601 * * [simplify]: iteration 2: (559 enodes) 9.313 * * [simplify]: iteration 3: (1985 enodes) 27.972 * * [simplify]: Extracting #0: cost 108 inf + 0 27.981 * * [simplify]: Extracting #1: cost 1773 inf + 3 27.994 * * [simplify]: Extracting #2: cost 3588 inf + 10501 28.046 * * [simplify]: Extracting #3: cost 2829 inf + 128602 28.239 * * [simplify]: Extracting #4: cost 773 inf + 567483 28.507 * * [simplify]: Extracting #5: cost 18 inf + 778996 28.829 * * [simplify]: Extracting #6: cost 0 inf + 783686 29.026 * [simplify]: Simplified to: (expm1 (/ PI (* (+ b a) 2))) (log1p (/ PI (* (+ b a) 2))) (/ PI (* (+ b a) 2)) (log (/ PI (* (+ b a) 2))) (log (/ PI (* (+ b a) 2))) (log (/ PI (* (+ b a) 2))) (log (/ PI (* (+ b a) 2))) (log (/ PI (* (+ b a) 2))) (log (/ PI (* (+ b a) 2))) (log (/ PI (* (+ b a) 2))) (log (/ PI (* (+ b a) 2))) (sqrt (exp (/ PI (+ b a)))) (* (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) 1/8) (* (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) 1/8) (* (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) 1/8) (* (cbrt (/ PI (* (+ b a) 2))) (cbrt (/ PI (* (+ b a) 2)))) (cbrt (/ PI (* (+ b a) 2))) (* (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) 1/8) (sqrt (/ PI (* (+ b a) 2))) (sqrt (/ PI (* (+ b a) 2))) (* (sqrt (/ (/ 1 (+ b a)) 2)) (sqrt PI)) (* (sqrt (/ (/ 1 (+ b a)) 2)) (sqrt PI)) (* (* (cbrt (/ (/ 1 (+ b a)) 2)) (cbrt (/ (/ 1 (+ b a)) 2))) PI) (* PI (sqrt (/ (/ 1 (+ b a)) 2))) (/ PI (+ b a)) (/ PI (+ b a)) (/ PI (+ b a)) PI PI (/ PI (* (fma (* b b) b (* a (* a a))) 2)) (* (/ (/ PI (+ b a)) (- a b)) 1/2) (/ (cbrt PI) (* (+ b a) 2)) (/ (/ (sqrt PI) 2) (+ b a)) (/ PI (* (+ b a) 2)) PI (expm1 (/ PI (* (+ b a) 2))) (log1p (/ PI (* (+ b a) 2))) (log (/ PI (* (+ b a) 2))) (log (/ PI (* (+ b a) 2))) (log (/ PI (* (+ b a) 2))) (sqrt (exp (/ PI (+ b a)))) (* (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) 1/8) (* (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) 1/8) (* (cbrt (/ PI (* (+ b a) 2))) (cbrt (/ PI (* (+ b a) 2)))) (cbrt (/ PI (* (+ b a) 2))) (* (* (/ PI (+ b a)) (* (/ PI (+ b a)) (/ PI (+ b a)))) 1/8) (sqrt (/ PI (* (+ b a) 2))) (sqrt (/ PI (* (+ b a) 2))) (- PI) (* -2 (+ b a)) (/ (cbrt PI) (/ (+ b a) (cbrt PI))) (/ (cbrt PI) 2) (/ (sqrt PI) (+ b a)) (/ (sqrt PI) 2) (/ 1 (+ b a)) (/ PI 2) (/ (/ 1 (+ b a)) 2) (/ (* (+ b a) 2) PI) (/ PI (+ b a)) (* 2 (/ (+ b a) (cbrt PI))) (/ (* (+ b a) 2) (sqrt PI)) (/ (* (+ b a) 2) PI) (/ PI (* (fma (* b b) b (* a (* a a))) 2)) (* (/ (/ PI (+ b a)) (- a b)) 1/2) (expm1 (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b))) (log1p (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b))) (/ (* (/ PI (+ b a)) -1/2) b) (log (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b))) (exp (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b))) (* (cbrt (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b))) (cbrt (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b)))) (cbrt (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b))) (* (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b)) (* (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b)) (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b)))) (sqrt (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b))) (sqrt (fma (/ (/ PI a) (+ b a)) 1/2 (/ (* (/ PI (+ b a)) -1/2) b))) (expm1 (* (/ (/ PI a) (+ b a)) 1/2)) (log1p (* (/ (/ PI a) (+ b a)) 1/2)) (log (* (/ (/ PI a) (+ b a)) 1/2)) (log (* (/ (/ PI a) (+ b a)) 1/2)) (log (* (/ (/ PI a) (+ b a)) 1/2)) (log (* (/ (/ PI a) (+ b a)) 1/2)) (sqrt (exp (/ PI (* (+ b a) a)))) (* (* (/ (/ PI a) (+ b a)) 1/2) (* (* (/ (/ PI a) (+ b a)) (/ (/ PI a) (+ b a))) 1/4)) (* (* (/ (/ PI a) (+ b a)) 1/2) (* (* (/ (/ PI a) (+ b a)) (/ (/ PI a) (+ b a))) 1/4)) (* (* (/ (/ PI a) (+ b a)) 1/2) (* (* (/ (/ PI a) (+ b a)) (/ (/ PI a) (+ b a))) 1/4)) (* (cbrt (* (/ (/ PI a) (+ b a)) 1/2)) (cbrt (* (/ (/ PI a) (+ b a)) 1/2))) (cbrt (* (/ (/ PI a) (+ b a)) 1/2)) (* (* (/ (/ PI a) (+ b a)) 1/2) (* (* (/ (/ PI a) (+ b a)) (/ (/ PI a) (+ b a))) 1/4)) (sqrt (* (/ (/ PI a) (+ b a)) 1/2)) (sqrt (* (/ (/ PI a) (+ b a)) 1/2)) (* (/ PI (+ b a)) -1/2) (- a) (* (/ (cbrt (/ PI (* (+ b a) 2))) (cbrt a)) (/ (cbrt (/ PI (* (+ b a) 2))) (cbrt a))) (/ (cbrt (/ PI (* (+ b a) 2))) (cbrt a)) (/ (cbrt (/ PI (* (+ b a) 2))) (/ (sqrt a) (cbrt (/ PI (* (+ b a) 2))))) (/ (cbrt (/ PI (* (+ b a) 2))) (sqrt a)) (* (cbrt (/ PI (* (+ b a) 2))) (cbrt (/ PI (* (+ b a) 2)))) (/ (cbrt (/ PI (* (+ b a) 2))) a) (/ (sqrt (/ PI (* (+ b a) 2))) (* (cbrt a) (cbrt a))) (/ (sqrt (/ PI (* (+ b a) 2))) (cbrt a)) (/ (sqrt (/ PI (* (+ b a) 2))) (sqrt a)) (/ (sqrt (/ PI (* (+ b a) 2))) (sqrt a)) (sqrt (/ PI (* (+ b a) 2))) (/ (sqrt (/ PI (* (+ b a) 2))) a) (/ (* (/ (cbrt PI) (cbrt a)) (/ (cbrt PI) (cbrt a))) (+ b a)) (* (/ (cbrt PI) (cbrt a)) 1/2) (/ (* (cbrt PI) (cbrt PI)) (* (+ b a) (sqrt a))) (* (/ (cbrt PI) (sqrt a)) 1/2) (/ (cbrt PI) (/ (+ b a) (cbrt PI))) (* 1/2 (/ (cbrt PI) a)) (/ (sqrt PI) (* (* (cbrt a) (cbrt a)) (+ b a))) (/ (sqrt PI) (* (cbrt a) 2)) (/ (sqrt PI) (* (+ b a) (sqrt a))) (* (/ (sqrt PI) (sqrt a)) 1/2) (/ (sqrt PI) (+ b a)) (/ (/ (sqrt PI) a) 2) (/ (/ 1 (+ b a)) (* (cbrt a) (cbrt a))) (/ (* PI 1/2) (cbrt a)) (/ 1 (* (+ b a) (sqrt a))) (/ PI (* 2 (sqrt a))) (/ 1 (+ b a)) (/ (/ PI a) 2) (/ 1 (* (cbrt a) (cbrt a))) (/ PI (* (* (cbrt a) 2) (+ b a))) (/ 1 (sqrt a)) (/ PI (* 2 (* (sqrt a) (+ b a)))) 1 (* (/ (/ PI a) (+ b a)) 1/2) (/ (/ PI (cbrt a)) (cbrt a)) (/ 1 (* (* (cbrt a) 2) (+ b a))) (/ PI (sqrt a)) (/ 1 (* (sqrt a) (* (+ b a) 2))) PI (/ 1 (* (* a 2) (+ b a))) (/ PI (* (* (fma (* b b) b (* a (* a a))) 2) (* (cbrt a) (cbrt a)))) (/ (fma a a (* b (- b a))) (cbrt a)) (/ (/ PI (* (fma (* b b) b (* a (* a a))) 2)) (sqrt a)) (/ (fma a a (* b (- b a))) (sqrt a)) (/ PI (* (fma (* b b) b (* a (* a a))) 2)) (/ (fma a a (* b (- b a))) a) (/ (* (/ (/ PI (+ b a)) (- a b)) 1/2) (* (cbrt a) (cbrt a))) (/ (- a b) (cbrt a)) (/ PI (* (* 2 (* (sqrt a) (+ b a))) (- a b))) (/ (- a b) (sqrt a)) (* (/ (/ PI (+ b a)) (- a b)) 1/2) (/ (- a b) a) (/ 1 a) (* (* (/ a PI) (+ b a)) 2) (/ (/ PI (cbrt a)) (* (* (cbrt a) 2) (+ b a))) (/ PI (* 2 (* (sqrt a) (+ b a)))) (/ PI (* (+ b a) 2)) (/ a (cbrt (/ PI (* (+ b a) 2)))) (/ a (sqrt (/ PI (* (+ b a) 2)))) (/ 2 (/ (cbrt PI) a)) (/ a (/ (sqrt PI) 2)) (/ a (/ PI 2)) (* (* (/ a PI) (+ b a)) 2) (* (* a 2) (+ b a)) (/ a (fma a a (* b (- b a)))) (/ a (- a b)) (* (* a 2) (+ b a)) 0 0 0 0 0 0 (* (/ (/ PI a) b) 1/2) (* (/ (/ PI a) b) -1/2) (* (/ (/ PI a) b) -1/2) 0 0 0 29.038 * * * [progress]: adding candidates to table 30.659 * * [progress]: iteration 3 / 4 30.659 * * * [progress]: picking best candidate 30.702 * * * * [pick]: Picked # 30.702 * * * [progress]: localizing error 30.764 * * * [progress]: generating rewritten candidates 30.764 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 3 1) 30.789 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 30.798 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 3 1 2) 30.809 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 30.810 * * * [progress]: generating series expansions 30.810 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 3 1) 30.810 * [backup-simplify]: Simplify (/ 1 (/ (* (+ a b) 2) PI)) into (* 1/2 (/ PI (+ a b))) 30.810 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 30.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 30.810 * [taylor]: Taking taylor expansion of 1/2 in b 30.810 * [backup-simplify]: Simplify 1/2 into 1/2 30.810 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 30.811 * [taylor]: Taking taylor expansion of PI in b 30.811 * [backup-simplify]: Simplify PI into PI 30.811 * [taylor]: Taking taylor expansion of (+ a b) in b 30.811 * [taylor]: Taking taylor expansion of a in b 30.811 * [backup-simplify]: Simplify a into a 30.811 * [taylor]: Taking taylor expansion of b in b 30.811 * [backup-simplify]: Simplify 0 into 0 30.811 * [backup-simplify]: Simplify 1 into 1 30.811 * [backup-simplify]: Simplify (+ a 0) into a 30.811 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 30.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 30.811 * [taylor]: Taking taylor expansion of 1/2 in a 30.811 * [backup-simplify]: Simplify 1/2 into 1/2 30.811 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 30.811 * [taylor]: Taking taylor expansion of PI in a 30.811 * [backup-simplify]: Simplify PI into PI 30.811 * [taylor]: Taking taylor expansion of (+ a b) in a 30.811 * [taylor]: Taking taylor expansion of a in a 30.811 * [backup-simplify]: Simplify 0 into 0 30.811 * [backup-simplify]: Simplify 1 into 1 30.811 * [taylor]: Taking taylor expansion of b in a 30.811 * [backup-simplify]: Simplify b into b 30.811 * [backup-simplify]: Simplify (+ 0 b) into b 30.811 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 30.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 30.811 * [taylor]: Taking taylor expansion of 1/2 in a 30.811 * [backup-simplify]: Simplify 1/2 into 1/2 30.811 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 30.811 * [taylor]: Taking taylor expansion of PI in a 30.811 * [backup-simplify]: Simplify PI into PI 30.811 * [taylor]: Taking taylor expansion of (+ a b) in a 30.811 * [taylor]: Taking taylor expansion of a in a 30.811 * [backup-simplify]: Simplify 0 into 0 30.811 * [backup-simplify]: Simplify 1 into 1 30.811 * [taylor]: Taking taylor expansion of b in a 30.811 * [backup-simplify]: Simplify b into b 30.811 * [backup-simplify]: Simplify (+ 0 b) into b 30.811 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 30.811 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 30.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 30.811 * [taylor]: Taking taylor expansion of 1/2 in b 30.811 * [backup-simplify]: Simplify 1/2 into 1/2 30.811 * [taylor]: Taking taylor expansion of (/ PI b) in b 30.811 * [taylor]: Taking taylor expansion of PI in b 30.811 * [backup-simplify]: Simplify PI into PI 30.811 * [taylor]: Taking taylor expansion of b in b 30.811 * [backup-simplify]: Simplify 0 into 0 30.811 * [backup-simplify]: Simplify 1 into 1 30.812 * [backup-simplify]: Simplify (/ PI 1) into PI 30.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 30.813 * [backup-simplify]: Simplify 0 into 0 30.813 * [backup-simplify]: Simplify (+ 1 0) into 1 30.814 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 30.818 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 30.818 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 30.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 30.818 * [taylor]: Taking taylor expansion of 1/2 in b 30.818 * [backup-simplify]: Simplify 1/2 into 1/2 30.818 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 30.818 * [taylor]: Taking taylor expansion of PI in b 30.818 * [backup-simplify]: Simplify PI into PI 30.818 * [taylor]: Taking taylor expansion of (pow b 2) in b 30.818 * [taylor]: Taking taylor expansion of b in b 30.818 * [backup-simplify]: Simplify 0 into 0 30.818 * [backup-simplify]: Simplify 1 into 1 30.818 * [backup-simplify]: Simplify (* 1 1) into 1 30.819 * [backup-simplify]: Simplify (/ PI 1) into PI 30.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.822 * [backup-simplify]: Simplify (- 0) into 0 30.822 * [backup-simplify]: Simplify 0 into 0 30.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.823 * [backup-simplify]: Simplify 0 into 0 30.824 * [backup-simplify]: Simplify (+ 0 0) into 0 30.824 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 30.824 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 30.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 30.824 * [taylor]: Taking taylor expansion of 1/2 in b 30.824 * [backup-simplify]: Simplify 1/2 into 1/2 30.824 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 30.824 * [taylor]: Taking taylor expansion of PI in b 30.824 * [backup-simplify]: Simplify PI into PI 30.825 * [taylor]: Taking taylor expansion of (pow b 3) in b 30.825 * [taylor]: Taking taylor expansion of b in b 30.825 * [backup-simplify]: Simplify 0 into 0 30.825 * [backup-simplify]: Simplify 1 into 1 30.825 * [backup-simplify]: Simplify (* 1 1) into 1 30.825 * [backup-simplify]: Simplify (* 1 1) into 1 30.826 * [backup-simplify]: Simplify (/ PI 1) into PI 30.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.835 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.837 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.837 * [backup-simplify]: Simplify 0 into 0 30.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.841 * [backup-simplify]: Simplify (- 0) into 0 30.841 * [backup-simplify]: Simplify 0 into 0 30.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.844 * [backup-simplify]: Simplify 0 into 0 30.844 * [backup-simplify]: Simplify 0 into 0 30.844 * [backup-simplify]: Simplify (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) PI)) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 30.844 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 30.844 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 30.844 * [taylor]: Taking taylor expansion of 1/2 in b 30.844 * [backup-simplify]: Simplify 1/2 into 1/2 30.844 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 30.844 * [taylor]: Taking taylor expansion of PI in b 30.844 * [backup-simplify]: Simplify PI into PI 30.844 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 30.844 * [taylor]: Taking taylor expansion of (/ 1 a) in b 30.844 * [taylor]: Taking taylor expansion of a in b 30.844 * [backup-simplify]: Simplify a into a 30.844 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 30.845 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.845 * [taylor]: Taking taylor expansion of b in b 30.845 * [backup-simplify]: Simplify 0 into 0 30.845 * [backup-simplify]: Simplify 1 into 1 30.845 * [backup-simplify]: Simplify (/ 1 1) into 1 30.846 * [backup-simplify]: Simplify (+ 0 1) into 1 30.846 * [backup-simplify]: Simplify (/ PI 1) into PI 30.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 30.846 * [taylor]: Taking taylor expansion of 1/2 in a 30.846 * [backup-simplify]: Simplify 1/2 into 1/2 30.846 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 30.846 * [taylor]: Taking taylor expansion of PI in a 30.846 * [backup-simplify]: Simplify PI into PI 30.846 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.847 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.847 * [taylor]: Taking taylor expansion of a in a 30.847 * [backup-simplify]: Simplify 0 into 0 30.847 * [backup-simplify]: Simplify 1 into 1 30.847 * [backup-simplify]: Simplify (/ 1 1) into 1 30.847 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.847 * [taylor]: Taking taylor expansion of b in a 30.847 * [backup-simplify]: Simplify b into b 30.847 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.848 * [backup-simplify]: Simplify (+ 1 0) into 1 30.848 * [backup-simplify]: Simplify (/ PI 1) into PI 30.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 30.848 * [taylor]: Taking taylor expansion of 1/2 in a 30.848 * [backup-simplify]: Simplify 1/2 into 1/2 30.848 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 30.848 * [taylor]: Taking taylor expansion of PI in a 30.848 * [backup-simplify]: Simplify PI into PI 30.848 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.848 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.848 * [taylor]: Taking taylor expansion of a in a 30.848 * [backup-simplify]: Simplify 0 into 0 30.848 * [backup-simplify]: Simplify 1 into 1 30.849 * [backup-simplify]: Simplify (/ 1 1) into 1 30.849 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.849 * [taylor]: Taking taylor expansion of b in a 30.849 * [backup-simplify]: Simplify b into b 30.849 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.849 * [backup-simplify]: Simplify (+ 1 0) into 1 30.850 * [backup-simplify]: Simplify (/ PI 1) into PI 30.851 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 30.851 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 30.851 * [taylor]: Taking taylor expansion of 1/2 in b 30.851 * [backup-simplify]: Simplify 1/2 into 1/2 30.851 * [taylor]: Taking taylor expansion of PI in b 30.851 * [backup-simplify]: Simplify PI into PI 30.852 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 30.852 * [backup-simplify]: Simplify 0 into 0 30.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.853 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 30.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 30.854 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 30.854 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 30.854 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 30.854 * [taylor]: Taking taylor expansion of 1/2 in b 30.854 * [backup-simplify]: Simplify 1/2 into 1/2 30.854 * [taylor]: Taking taylor expansion of (/ PI b) in b 30.854 * [taylor]: Taking taylor expansion of PI in b 30.854 * [backup-simplify]: Simplify PI into PI 30.854 * [taylor]: Taking taylor expansion of b in b 30.854 * [backup-simplify]: Simplify 0 into 0 30.854 * [backup-simplify]: Simplify 1 into 1 30.855 * [backup-simplify]: Simplify (/ PI 1) into PI 30.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.858 * [backup-simplify]: Simplify (- 0) into 0 30.858 * [backup-simplify]: Simplify 0 into 0 30.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.859 * [backup-simplify]: Simplify 0 into 0 30.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 30.861 * [backup-simplify]: Simplify (+ 0 0) into 0 30.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 30.863 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 30.863 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 30.864 * [taylor]: Taking taylor expansion of 1/2 in b 30.864 * [backup-simplify]: Simplify 1/2 into 1/2 30.864 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 30.864 * [taylor]: Taking taylor expansion of PI in b 30.864 * [backup-simplify]: Simplify PI into PI 30.864 * [taylor]: Taking taylor expansion of (pow b 2) in b 30.864 * [taylor]: Taking taylor expansion of b in b 30.864 * [backup-simplify]: Simplify 0 into 0 30.864 * [backup-simplify]: Simplify 1 into 1 30.865 * [backup-simplify]: Simplify (* 1 1) into 1 30.865 * [backup-simplify]: Simplify (/ PI 1) into PI 30.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.870 * [backup-simplify]: Simplify 0 into 0 30.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.871 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.871 * [backup-simplify]: Simplify (- 0) into 0 30.871 * [backup-simplify]: Simplify 0 into 0 30.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.872 * [backup-simplify]: Simplify 0 into 0 30.872 * [backup-simplify]: Simplify 0 into 0 30.872 * [backup-simplify]: Simplify (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) PI)) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 30.872 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 30.872 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 30.872 * [taylor]: Taking taylor expansion of -1/2 in b 30.872 * [backup-simplify]: Simplify -1/2 into -1/2 30.872 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 30.872 * [taylor]: Taking taylor expansion of PI in b 30.872 * [backup-simplify]: Simplify PI into PI 30.872 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 30.872 * [taylor]: Taking taylor expansion of (/ 1 a) in b 30.872 * [taylor]: Taking taylor expansion of a in b 30.872 * [backup-simplify]: Simplify a into a 30.872 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 30.872 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.873 * [taylor]: Taking taylor expansion of b in b 30.873 * [backup-simplify]: Simplify 0 into 0 30.873 * [backup-simplify]: Simplify 1 into 1 30.873 * [backup-simplify]: Simplify (/ 1 1) into 1 30.873 * [backup-simplify]: Simplify (+ 0 1) into 1 30.873 * [backup-simplify]: Simplify (/ PI 1) into PI 30.873 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 30.873 * [taylor]: Taking taylor expansion of -1/2 in a 30.873 * [backup-simplify]: Simplify -1/2 into -1/2 30.873 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 30.873 * [taylor]: Taking taylor expansion of PI in a 30.873 * [backup-simplify]: Simplify PI into PI 30.873 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.874 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.874 * [taylor]: Taking taylor expansion of a in a 30.874 * [backup-simplify]: Simplify 0 into 0 30.874 * [backup-simplify]: Simplify 1 into 1 30.874 * [backup-simplify]: Simplify (/ 1 1) into 1 30.874 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.874 * [taylor]: Taking taylor expansion of b in a 30.874 * [backup-simplify]: Simplify b into b 30.874 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.874 * [backup-simplify]: Simplify (+ 1 0) into 1 30.874 * [backup-simplify]: Simplify (/ PI 1) into PI 30.875 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 30.875 * [taylor]: Taking taylor expansion of -1/2 in a 30.875 * [backup-simplify]: Simplify -1/2 into -1/2 30.875 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 30.875 * [taylor]: Taking taylor expansion of PI in a 30.875 * [backup-simplify]: Simplify PI into PI 30.875 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.875 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.875 * [taylor]: Taking taylor expansion of a in a 30.875 * [backup-simplify]: Simplify 0 into 0 30.875 * [backup-simplify]: Simplify 1 into 1 30.875 * [backup-simplify]: Simplify (/ 1 1) into 1 30.875 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.875 * [taylor]: Taking taylor expansion of b in a 30.875 * [backup-simplify]: Simplify b into b 30.875 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.875 * [backup-simplify]: Simplify (+ 1 0) into 1 30.876 * [backup-simplify]: Simplify (/ PI 1) into PI 30.876 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 30.876 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 30.876 * [taylor]: Taking taylor expansion of -1/2 in b 30.876 * [backup-simplify]: Simplify -1/2 into -1/2 30.876 * [taylor]: Taking taylor expansion of PI in b 30.876 * [backup-simplify]: Simplify PI into PI 30.877 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 30.877 * [backup-simplify]: Simplify 0 into 0 30.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.877 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 30.878 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 30.878 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 30.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 30.878 * [taylor]: Taking taylor expansion of 1/2 in b 30.878 * [backup-simplify]: Simplify 1/2 into 1/2 30.878 * [taylor]: Taking taylor expansion of (/ PI b) in b 30.878 * [taylor]: Taking taylor expansion of PI in b 30.878 * [backup-simplify]: Simplify PI into PI 30.878 * [taylor]: Taking taylor expansion of b in b 30.878 * [backup-simplify]: Simplify 0 into 0 30.878 * [backup-simplify]: Simplify 1 into 1 30.878 * [backup-simplify]: Simplify (/ PI 1) into PI 30.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.880 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.880 * [backup-simplify]: Simplify 0 into 0 30.881 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.881 * [backup-simplify]: Simplify 0 into 0 30.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 30.882 * [backup-simplify]: Simplify (+ 0 0) into 0 30.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 30.883 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 30.883 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 30.883 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 30.883 * [taylor]: Taking taylor expansion of 1/2 in b 30.883 * [backup-simplify]: Simplify 1/2 into 1/2 30.883 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 30.883 * [taylor]: Taking taylor expansion of PI in b 30.883 * [backup-simplify]: Simplify PI into PI 30.884 * [taylor]: Taking taylor expansion of (pow b 2) in b 30.884 * [taylor]: Taking taylor expansion of b in b 30.884 * [backup-simplify]: Simplify 0 into 0 30.884 * [backup-simplify]: Simplify 1 into 1 30.884 * [backup-simplify]: Simplify (* 1 1) into 1 30.884 * [backup-simplify]: Simplify (/ PI 1) into PI 30.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.887 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.892 * [backup-simplify]: Simplify (- 0) into 0 30.892 * [backup-simplify]: Simplify 0 into 0 30.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.894 * [backup-simplify]: Simplify 0 into 0 30.895 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.896 * [backup-simplify]: Simplify 0 into 0 30.896 * [backup-simplify]: Simplify 0 into 0 30.896 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 30.896 * [backup-simplify]: Simplify (/ PI (* (+ a b) 2)) into (* 1/2 (/ PI (+ a b))) 30.896 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 30.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 30.896 * [taylor]: Taking taylor expansion of 1/2 in b 30.896 * [backup-simplify]: Simplify 1/2 into 1/2 30.896 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 30.896 * [taylor]: Taking taylor expansion of PI in b 30.896 * [backup-simplify]: Simplify PI into PI 30.896 * [taylor]: Taking taylor expansion of (+ a b) in b 30.896 * [taylor]: Taking taylor expansion of a in b 30.896 * [backup-simplify]: Simplify a into a 30.896 * [taylor]: Taking taylor expansion of b in b 30.896 * [backup-simplify]: Simplify 0 into 0 30.896 * [backup-simplify]: Simplify 1 into 1 30.896 * [backup-simplify]: Simplify (+ a 0) into a 30.896 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 30.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 30.897 * [taylor]: Taking taylor expansion of 1/2 in a 30.897 * [backup-simplify]: Simplify 1/2 into 1/2 30.897 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 30.897 * [taylor]: Taking taylor expansion of PI in a 30.897 * [backup-simplify]: Simplify PI into PI 30.897 * [taylor]: Taking taylor expansion of (+ a b) in a 30.897 * [taylor]: Taking taylor expansion of a in a 30.897 * [backup-simplify]: Simplify 0 into 0 30.897 * [backup-simplify]: Simplify 1 into 1 30.897 * [taylor]: Taking taylor expansion of b in a 30.897 * [backup-simplify]: Simplify b into b 30.897 * [backup-simplify]: Simplify (+ 0 b) into b 30.897 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 30.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 30.897 * [taylor]: Taking taylor expansion of 1/2 in a 30.897 * [backup-simplify]: Simplify 1/2 into 1/2 30.897 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 30.897 * [taylor]: Taking taylor expansion of PI in a 30.897 * [backup-simplify]: Simplify PI into PI 30.897 * [taylor]: Taking taylor expansion of (+ a b) in a 30.897 * [taylor]: Taking taylor expansion of a in a 30.897 * [backup-simplify]: Simplify 0 into 0 30.897 * [backup-simplify]: Simplify 1 into 1 30.897 * [taylor]: Taking taylor expansion of b in a 30.897 * [backup-simplify]: Simplify b into b 30.897 * [backup-simplify]: Simplify (+ 0 b) into b 30.897 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 30.897 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 30.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 30.898 * [taylor]: Taking taylor expansion of 1/2 in b 30.898 * [backup-simplify]: Simplify 1/2 into 1/2 30.898 * [taylor]: Taking taylor expansion of (/ PI b) in b 30.898 * [taylor]: Taking taylor expansion of PI in b 30.898 * [backup-simplify]: Simplify PI into PI 30.898 * [taylor]: Taking taylor expansion of b in b 30.898 * [backup-simplify]: Simplify 0 into 0 30.898 * [backup-simplify]: Simplify 1 into 1 30.898 * [backup-simplify]: Simplify (/ PI 1) into PI 30.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 30.900 * [backup-simplify]: Simplify 0 into 0 30.900 * [backup-simplify]: Simplify (+ 1 0) into 1 30.901 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 30.901 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 30.901 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 30.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 30.901 * [taylor]: Taking taylor expansion of 1/2 in b 30.901 * [backup-simplify]: Simplify 1/2 into 1/2 30.901 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 30.901 * [taylor]: Taking taylor expansion of PI in b 30.901 * [backup-simplify]: Simplify PI into PI 30.901 * [taylor]: Taking taylor expansion of (pow b 2) in b 30.901 * [taylor]: Taking taylor expansion of b in b 30.901 * [backup-simplify]: Simplify 0 into 0 30.901 * [backup-simplify]: Simplify 1 into 1 30.902 * [backup-simplify]: Simplify (* 1 1) into 1 30.902 * [backup-simplify]: Simplify (/ PI 1) into PI 30.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.907 * [backup-simplify]: Simplify (- 0) into 0 30.907 * [backup-simplify]: Simplify 0 into 0 30.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.910 * [backup-simplify]: Simplify 0 into 0 30.910 * [backup-simplify]: Simplify (+ 0 0) into 0 30.910 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 30.911 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 30.911 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 30.911 * [taylor]: Taking taylor expansion of 1/2 in b 30.911 * [backup-simplify]: Simplify 1/2 into 1/2 30.911 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 30.911 * [taylor]: Taking taylor expansion of PI in b 30.911 * [backup-simplify]: Simplify PI into PI 30.911 * [taylor]: Taking taylor expansion of (pow b 3) in b 30.911 * [taylor]: Taking taylor expansion of b in b 30.911 * [backup-simplify]: Simplify 0 into 0 30.911 * [backup-simplify]: Simplify 1 into 1 30.911 * [backup-simplify]: Simplify (* 1 1) into 1 30.912 * [backup-simplify]: Simplify (* 1 1) into 1 30.912 * [backup-simplify]: Simplify (/ PI 1) into PI 30.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.922 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.922 * [backup-simplify]: Simplify 0 into 0 30.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.926 * [backup-simplify]: Simplify (- 0) into 0 30.926 * [backup-simplify]: Simplify 0 into 0 30.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.929 * [backup-simplify]: Simplify 0 into 0 30.929 * [backup-simplify]: Simplify 0 into 0 30.929 * [backup-simplify]: Simplify (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 30.929 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 30.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 30.929 * [taylor]: Taking taylor expansion of 1/2 in b 30.929 * [backup-simplify]: Simplify 1/2 into 1/2 30.929 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 30.929 * [taylor]: Taking taylor expansion of PI in b 30.930 * [backup-simplify]: Simplify PI into PI 30.930 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 30.930 * [taylor]: Taking taylor expansion of (/ 1 a) in b 30.930 * [taylor]: Taking taylor expansion of a in b 30.930 * [backup-simplify]: Simplify a into a 30.930 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 30.930 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.930 * [taylor]: Taking taylor expansion of b in b 30.930 * [backup-simplify]: Simplify 0 into 0 30.930 * [backup-simplify]: Simplify 1 into 1 30.930 * [backup-simplify]: Simplify (/ 1 1) into 1 30.931 * [backup-simplify]: Simplify (+ 0 1) into 1 30.931 * [backup-simplify]: Simplify (/ PI 1) into PI 30.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 30.931 * [taylor]: Taking taylor expansion of 1/2 in a 30.931 * [backup-simplify]: Simplify 1/2 into 1/2 30.932 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 30.932 * [taylor]: Taking taylor expansion of PI in a 30.932 * [backup-simplify]: Simplify PI into PI 30.932 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.932 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.932 * [taylor]: Taking taylor expansion of a in a 30.932 * [backup-simplify]: Simplify 0 into 0 30.932 * [backup-simplify]: Simplify 1 into 1 30.932 * [backup-simplify]: Simplify (/ 1 1) into 1 30.932 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.932 * [taylor]: Taking taylor expansion of b in a 30.932 * [backup-simplify]: Simplify b into b 30.932 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.933 * [backup-simplify]: Simplify (+ 1 0) into 1 30.933 * [backup-simplify]: Simplify (/ PI 1) into PI 30.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 30.933 * [taylor]: Taking taylor expansion of 1/2 in a 30.933 * [backup-simplify]: Simplify 1/2 into 1/2 30.933 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 30.933 * [taylor]: Taking taylor expansion of PI in a 30.933 * [backup-simplify]: Simplify PI into PI 30.933 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.933 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.933 * [taylor]: Taking taylor expansion of a in a 30.933 * [backup-simplify]: Simplify 0 into 0 30.933 * [backup-simplify]: Simplify 1 into 1 30.934 * [backup-simplify]: Simplify (/ 1 1) into 1 30.934 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.934 * [taylor]: Taking taylor expansion of b in a 30.934 * [backup-simplify]: Simplify b into b 30.934 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.934 * [backup-simplify]: Simplify (+ 1 0) into 1 30.935 * [backup-simplify]: Simplify (/ PI 1) into PI 30.935 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 30.935 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 30.935 * [taylor]: Taking taylor expansion of 1/2 in b 30.935 * [backup-simplify]: Simplify 1/2 into 1/2 30.936 * [taylor]: Taking taylor expansion of PI in b 30.936 * [backup-simplify]: Simplify PI into PI 30.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 30.936 * [backup-simplify]: Simplify 0 into 0 30.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.937 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 30.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 30.938 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 30.938 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 30.938 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 30.939 * [taylor]: Taking taylor expansion of 1/2 in b 30.939 * [backup-simplify]: Simplify 1/2 into 1/2 30.939 * [taylor]: Taking taylor expansion of (/ PI b) in b 30.939 * [taylor]: Taking taylor expansion of PI in b 30.939 * [backup-simplify]: Simplify PI into PI 30.939 * [taylor]: Taking taylor expansion of b in b 30.939 * [backup-simplify]: Simplify 0 into 0 30.939 * [backup-simplify]: Simplify 1 into 1 30.939 * [backup-simplify]: Simplify (/ PI 1) into PI 30.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.942 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.943 * [backup-simplify]: Simplify (- 0) into 0 30.943 * [backup-simplify]: Simplify 0 into 0 30.944 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.944 * [backup-simplify]: Simplify 0 into 0 30.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 30.945 * [backup-simplify]: Simplify (+ 0 0) into 0 30.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 30.947 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 30.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 30.947 * [taylor]: Taking taylor expansion of 1/2 in b 30.947 * [backup-simplify]: Simplify 1/2 into 1/2 30.947 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 30.947 * [taylor]: Taking taylor expansion of PI in b 30.947 * [backup-simplify]: Simplify PI into PI 30.947 * [taylor]: Taking taylor expansion of (pow b 2) in b 30.947 * [taylor]: Taking taylor expansion of b in b 30.947 * [backup-simplify]: Simplify 0 into 0 30.947 * [backup-simplify]: Simplify 1 into 1 30.948 * [backup-simplify]: Simplify (* 1 1) into 1 30.948 * [backup-simplify]: Simplify (/ PI 1) into PI 30.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.955 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.955 * [backup-simplify]: Simplify 0 into 0 30.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.961 * [backup-simplify]: Simplify (- 0) into 0 30.961 * [backup-simplify]: Simplify 0 into 0 30.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.963 * [backup-simplify]: Simplify 0 into 0 30.963 * [backup-simplify]: Simplify 0 into 0 30.963 * [backup-simplify]: Simplify (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 30.963 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 30.963 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 30.963 * [taylor]: Taking taylor expansion of -1/2 in b 30.963 * [backup-simplify]: Simplify -1/2 into -1/2 30.963 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 30.963 * [taylor]: Taking taylor expansion of PI in b 30.963 * [backup-simplify]: Simplify PI into PI 30.963 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 30.963 * [taylor]: Taking taylor expansion of (/ 1 a) in b 30.963 * [taylor]: Taking taylor expansion of a in b 30.963 * [backup-simplify]: Simplify a into a 30.963 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 30.963 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.963 * [taylor]: Taking taylor expansion of b in b 30.963 * [backup-simplify]: Simplify 0 into 0 30.963 * [backup-simplify]: Simplify 1 into 1 30.963 * [backup-simplify]: Simplify (/ 1 1) into 1 30.964 * [backup-simplify]: Simplify (+ 0 1) into 1 30.964 * [backup-simplify]: Simplify (/ PI 1) into PI 30.964 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 30.964 * [taylor]: Taking taylor expansion of -1/2 in a 30.964 * [backup-simplify]: Simplify -1/2 into -1/2 30.964 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 30.964 * [taylor]: Taking taylor expansion of PI in a 30.964 * [backup-simplify]: Simplify PI into PI 30.964 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.964 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.964 * [taylor]: Taking taylor expansion of a in a 30.964 * [backup-simplify]: Simplify 0 into 0 30.964 * [backup-simplify]: Simplify 1 into 1 30.964 * [backup-simplify]: Simplify (/ 1 1) into 1 30.964 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.964 * [taylor]: Taking taylor expansion of b in a 30.964 * [backup-simplify]: Simplify b into b 30.964 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.965 * [backup-simplify]: Simplify (+ 1 0) into 1 30.965 * [backup-simplify]: Simplify (/ PI 1) into PI 30.965 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 30.965 * [taylor]: Taking taylor expansion of -1/2 in a 30.965 * [backup-simplify]: Simplify -1/2 into -1/2 30.965 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 30.965 * [taylor]: Taking taylor expansion of PI in a 30.965 * [backup-simplify]: Simplify PI into PI 30.965 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.965 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.965 * [taylor]: Taking taylor expansion of a in a 30.965 * [backup-simplify]: Simplify 0 into 0 30.965 * [backup-simplify]: Simplify 1 into 1 30.965 * [backup-simplify]: Simplify (/ 1 1) into 1 30.965 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.965 * [taylor]: Taking taylor expansion of b in a 30.965 * [backup-simplify]: Simplify b into b 30.966 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.966 * [backup-simplify]: Simplify (+ 1 0) into 1 30.966 * [backup-simplify]: Simplify (/ PI 1) into PI 30.966 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 30.967 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 30.967 * [taylor]: Taking taylor expansion of -1/2 in b 30.967 * [backup-simplify]: Simplify -1/2 into -1/2 30.967 * [taylor]: Taking taylor expansion of PI in b 30.967 * [backup-simplify]: Simplify PI into PI 30.967 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 30.967 * [backup-simplify]: Simplify 0 into 0 30.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.968 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 30.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 30.968 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 30.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 30.968 * [taylor]: Taking taylor expansion of 1/2 in b 30.968 * [backup-simplify]: Simplify 1/2 into 1/2 30.968 * [taylor]: Taking taylor expansion of (/ PI b) in b 30.968 * [taylor]: Taking taylor expansion of PI in b 30.968 * [backup-simplify]: Simplify PI into PI 30.968 * [taylor]: Taking taylor expansion of b in b 30.968 * [backup-simplify]: Simplify 0 into 0 30.968 * [backup-simplify]: Simplify 1 into 1 30.969 * [backup-simplify]: Simplify (/ PI 1) into PI 30.969 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.970 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.971 * [backup-simplify]: Simplify 0 into 0 30.971 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 30.971 * [backup-simplify]: Simplify 0 into 0 30.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 30.972 * [backup-simplify]: Simplify (+ 0 0) into 0 30.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 30.973 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 30.973 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 30.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 30.973 * [taylor]: Taking taylor expansion of 1/2 in b 30.973 * [backup-simplify]: Simplify 1/2 into 1/2 30.973 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 30.973 * [taylor]: Taking taylor expansion of PI in b 30.973 * [backup-simplify]: Simplify PI into PI 30.973 * [taylor]: Taking taylor expansion of (pow b 2) in b 30.974 * [taylor]: Taking taylor expansion of b in b 30.974 * [backup-simplify]: Simplify 0 into 0 30.974 * [backup-simplify]: Simplify 1 into 1 30.974 * [backup-simplify]: Simplify (* 1 1) into 1 30.974 * [backup-simplify]: Simplify (/ PI 1) into PI 30.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.978 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.978 * [backup-simplify]: Simplify (- 0) into 0 30.978 * [backup-simplify]: Simplify 0 into 0 30.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.980 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.980 * [backup-simplify]: Simplify 0 into 0 30.980 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.980 * [backup-simplify]: Simplify 0 into 0 30.980 * [backup-simplify]: Simplify 0 into 0 30.981 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 3 1 2) 30.981 * [backup-simplify]: Simplify (/ (* (+ a b) 2) PI) into (* 2 (/ (+ a b) PI)) 30.981 * [approximate]: Taking taylor expansion of (* 2 (/ (+ a b) PI)) in (a b) around 0 30.981 * [taylor]: Taking taylor expansion of (* 2 (/ (+ a b) PI)) in b 30.981 * [taylor]: Taking taylor expansion of 2 in b 30.981 * [backup-simplify]: Simplify 2 into 2 30.981 * [taylor]: Taking taylor expansion of (/ (+ a b) PI) in b 30.981 * [taylor]: Taking taylor expansion of (+ a b) in b 30.981 * [taylor]: Taking taylor expansion of a in b 30.981 * [backup-simplify]: Simplify a into a 30.981 * [taylor]: Taking taylor expansion of b in b 30.981 * [backup-simplify]: Simplify 0 into 0 30.981 * [backup-simplify]: Simplify 1 into 1 30.981 * [taylor]: Taking taylor expansion of PI in b 30.981 * [backup-simplify]: Simplify PI into PI 30.981 * [backup-simplify]: Simplify (+ a 0) into a 30.981 * [backup-simplify]: Simplify (/ a PI) into (/ a PI) 30.981 * [taylor]: Taking taylor expansion of (* 2 (/ (+ a b) PI)) in a 30.981 * [taylor]: Taking taylor expansion of 2 in a 30.981 * [backup-simplify]: Simplify 2 into 2 30.981 * [taylor]: Taking taylor expansion of (/ (+ a b) PI) in a 30.981 * [taylor]: Taking taylor expansion of (+ a b) in a 30.981 * [taylor]: Taking taylor expansion of a in a 30.981 * [backup-simplify]: Simplify 0 into 0 30.981 * [backup-simplify]: Simplify 1 into 1 30.981 * [taylor]: Taking taylor expansion of b in a 30.981 * [backup-simplify]: Simplify b into b 30.981 * [taylor]: Taking taylor expansion of PI in a 30.981 * [backup-simplify]: Simplify PI into PI 30.981 * [backup-simplify]: Simplify (+ 0 b) into b 30.981 * [backup-simplify]: Simplify (/ b PI) into (/ b PI) 30.981 * [taylor]: Taking taylor expansion of (* 2 (/ (+ a b) PI)) in a 30.981 * [taylor]: Taking taylor expansion of 2 in a 30.981 * [backup-simplify]: Simplify 2 into 2 30.981 * [taylor]: Taking taylor expansion of (/ (+ a b) PI) in a 30.981 * [taylor]: Taking taylor expansion of (+ a b) in a 30.981 * [taylor]: Taking taylor expansion of a in a 30.981 * [backup-simplify]: Simplify 0 into 0 30.981 * [backup-simplify]: Simplify 1 into 1 30.981 * [taylor]: Taking taylor expansion of b in a 30.981 * [backup-simplify]: Simplify b into b 30.981 * [taylor]: Taking taylor expansion of PI in a 30.981 * [backup-simplify]: Simplify PI into PI 30.981 * [backup-simplify]: Simplify (+ 0 b) into b 30.981 * [backup-simplify]: Simplify (/ b PI) into (/ b PI) 30.981 * [backup-simplify]: Simplify (* 2 (/ b PI)) into (* 2 (/ b PI)) 30.981 * [taylor]: Taking taylor expansion of (* 2 (/ b PI)) in b 30.982 * [taylor]: Taking taylor expansion of 2 in b 30.982 * [backup-simplify]: Simplify 2 into 2 30.982 * [taylor]: Taking taylor expansion of (/ b PI) in b 30.982 * [taylor]: Taking taylor expansion of b in b 30.982 * [backup-simplify]: Simplify 0 into 0 30.982 * [backup-simplify]: Simplify 1 into 1 30.982 * [taylor]: Taking taylor expansion of PI in b 30.982 * [backup-simplify]: Simplify PI into PI 30.982 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 30.982 * [backup-simplify]: Simplify (+ 1 0) into 1 30.983 * [backup-simplify]: Simplify (- (/ 1 PI) (+ (* (/ b PI) (/ 0 PI)))) into (/ 1 PI) 30.984 * [backup-simplify]: Simplify (+ (* 2 (/ 1 PI)) (* 0 (/ b PI))) into (* 2 (/ 1 PI)) 30.984 * [taylor]: Taking taylor expansion of (* 2 (/ 1 PI)) in b 30.984 * [taylor]: Taking taylor expansion of 2 in b 30.984 * [backup-simplify]: Simplify 2 into 2 30.984 * [taylor]: Taking taylor expansion of (/ 1 PI) in b 30.984 * [taylor]: Taking taylor expansion of PI in b 30.984 * [backup-simplify]: Simplify PI into PI 30.984 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 30.985 * [backup-simplify]: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) 30.985 * [backup-simplify]: Simplify (/ 2 PI) into (/ 2 PI) 30.986 * [backup-simplify]: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) 30.986 * [backup-simplify]: Simplify (/ 2 PI) into (/ 2 PI) 30.986 * [backup-simplify]: Simplify (+ 0 0) into 0 30.987 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 30.988 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ 1 PI)) (* 0 (/ b PI)))) into 0 30.988 * [taylor]: Taking taylor expansion of 0 in b 30.988 * [backup-simplify]: Simplify 0 into 0 30.988 * [backup-simplify]: Simplify 0 into 0 30.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 30.990 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 30.990 * [backup-simplify]: Simplify 0 into 0 30.991 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 30.991 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 30.991 * [backup-simplify]: Simplify 0 into 0 30.991 * [backup-simplify]: Simplify (+ 0 0) into 0 30.993 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 30.994 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (/ 1 PI)) (* 0 (/ b PI))))) into 0 30.994 * [taylor]: Taking taylor expansion of 0 in b 30.994 * [backup-simplify]: Simplify 0 into 0 30.994 * [backup-simplify]: Simplify 0 into 0 30.994 * [backup-simplify]: Simplify 0 into 0 30.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 30.997 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 30.997 * [backup-simplify]: Simplify 0 into 0 30.998 * [backup-simplify]: Simplify (+ (* (/ 2 PI) (* b 1)) (* (/ 2 PI) (* 1 a))) into (+ (* 2 (/ b PI)) (* 2 (/ a PI))) 30.998 * [backup-simplify]: Simplify (/ (* (+ (/ 1 a) (/ 1 b)) 2) PI) into (* 2 (/ (+ (/ 1 a) (/ 1 b)) PI)) 30.998 * [approximate]: Taking taylor expansion of (* 2 (/ (+ (/ 1 a) (/ 1 b)) PI)) in (a b) around 0 30.999 * [taylor]: Taking taylor expansion of (* 2 (/ (+ (/ 1 a) (/ 1 b)) PI)) in b 30.999 * [taylor]: Taking taylor expansion of 2 in b 30.999 * [backup-simplify]: Simplify 2 into 2 30.999 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b 30.999 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 30.999 * [taylor]: Taking taylor expansion of (/ 1 a) in b 30.999 * [taylor]: Taking taylor expansion of a in b 30.999 * [backup-simplify]: Simplify a into a 30.999 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 30.999 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.999 * [taylor]: Taking taylor expansion of b in b 30.999 * [backup-simplify]: Simplify 0 into 0 30.999 * [backup-simplify]: Simplify 1 into 1 30.999 * [backup-simplify]: Simplify (/ 1 1) into 1 30.999 * [taylor]: Taking taylor expansion of PI in b 30.999 * [backup-simplify]: Simplify PI into PI 31.000 * [backup-simplify]: Simplify (+ 0 1) into 1 31.000 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 31.000 * [taylor]: Taking taylor expansion of (* 2 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a 31.000 * [taylor]: Taking taylor expansion of 2 in a 31.000 * [backup-simplify]: Simplify 2 into 2 31.000 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a 31.001 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.001 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.001 * [taylor]: Taking taylor expansion of a in a 31.001 * [backup-simplify]: Simplify 0 into 0 31.001 * [backup-simplify]: Simplify 1 into 1 31.001 * [backup-simplify]: Simplify (/ 1 1) into 1 31.001 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.001 * [taylor]: Taking taylor expansion of b in a 31.001 * [backup-simplify]: Simplify b into b 31.001 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.001 * [taylor]: Taking taylor expansion of PI in a 31.001 * [backup-simplify]: Simplify PI into PI 31.002 * [backup-simplify]: Simplify (+ 1 0) into 1 31.002 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 31.002 * [taylor]: Taking taylor expansion of (* 2 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a 31.002 * [taylor]: Taking taylor expansion of 2 in a 31.002 * [backup-simplify]: Simplify 2 into 2 31.002 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a 31.002 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.002 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.002 * [taylor]: Taking taylor expansion of a in a 31.002 * [backup-simplify]: Simplify 0 into 0 31.002 * [backup-simplify]: Simplify 1 into 1 31.003 * [backup-simplify]: Simplify (/ 1 1) into 1 31.003 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.003 * [taylor]: Taking taylor expansion of b in a 31.003 * [backup-simplify]: Simplify b into b 31.003 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.003 * [taylor]: Taking taylor expansion of PI in a 31.003 * [backup-simplify]: Simplify PI into PI 31.003 * [backup-simplify]: Simplify (+ 1 0) into 1 31.004 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 31.005 * [backup-simplify]: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) 31.005 * [taylor]: Taking taylor expansion of (/ 2 PI) in b 31.005 * [taylor]: Taking taylor expansion of 2 in b 31.005 * [backup-simplify]: Simplify 2 into 2 31.005 * [taylor]: Taking taylor expansion of PI in b 31.005 * [backup-simplify]: Simplify PI into PI 31.006 * [backup-simplify]: Simplify (/ 2 PI) into (/ 2 PI) 31.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.007 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 31.008 * [backup-simplify]: Simplify (- (/ (/ 1 b) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) 31.009 * [backup-simplify]: Simplify (+ (* 2 (/ 1 (* b PI))) (* 0 (/ 1 PI))) into (* 2 (/ 1 (* b PI))) 31.009 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* b PI))) in b 31.009 * [taylor]: Taking taylor expansion of 2 in b 31.009 * [backup-simplify]: Simplify 2 into 2 31.009 * [taylor]: Taking taylor expansion of (/ 1 (* b PI)) in b 31.009 * [taylor]: Taking taylor expansion of (* b PI) in b 31.009 * [taylor]: Taking taylor expansion of b in b 31.009 * [backup-simplify]: Simplify 0 into 0 31.009 * [backup-simplify]: Simplify 1 into 1 31.009 * [taylor]: Taking taylor expansion of PI in b 31.009 * [backup-simplify]: Simplify PI into PI 31.009 * [backup-simplify]: Simplify (* 0 PI) into 0 31.011 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.012 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 31.013 * [backup-simplify]: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) 31.013 * [backup-simplify]: Simplify (/ 2 PI) into (/ 2 PI) 31.014 * [backup-simplify]: Simplify (/ 2 PI) into (/ 2 PI) 31.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 31.015 * [backup-simplify]: Simplify (+ 0 0) into 0 31.017 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 31.018 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (/ 1 (* b PI))) (* 0 (/ 1 PI)))) into 0 31.018 * [taylor]: Taking taylor expansion of 0 in b 31.019 * [backup-simplify]: Simplify 0 into 0 31.020 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 31.022 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 31.022 * [backup-simplify]: Simplify 0 into 0 31.023 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)))) into 0 31.023 * [backup-simplify]: Simplify 0 into 0 31.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 31.025 * [backup-simplify]: Simplify (+ 0 0) into 0 31.027 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 31.029 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 (/ 1 (* b PI))) (* 0 (/ 1 PI))))) into 0 31.029 * [taylor]: Taking taylor expansion of 0 in b 31.029 * [backup-simplify]: Simplify 0 into 0 31.029 * [backup-simplify]: Simplify 0 into 0 31.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 31.032 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 31.032 * [backup-simplify]: Simplify 0 into 0 31.033 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 31.033 * [backup-simplify]: Simplify 0 into 0 31.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 31.034 * [backup-simplify]: Simplify (+ 0 0) into 0 31.036 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 31.037 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (* b PI))) (* 0 (/ 1 PI)))))) into 0 31.037 * [taylor]: Taking taylor expansion of 0 in b 31.037 * [backup-simplify]: Simplify 0 into 0 31.037 * [backup-simplify]: Simplify 0 into 0 31.038 * [backup-simplify]: Simplify (+ (* (/ 2 PI) (* 1 (/ 1 (/ 1 a)))) (* (/ 2 PI) (* (/ 1 (/ 1 b)) 1))) into (+ (* 2 (/ b PI)) (* 2 (/ a PI))) 31.038 * [backup-simplify]: Simplify (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) PI) into (* -2 (/ (+ (/ 1 a) (/ 1 b)) PI)) 31.038 * [approximate]: Taking taylor expansion of (* -2 (/ (+ (/ 1 a) (/ 1 b)) PI)) in (a b) around 0 31.038 * [taylor]: Taking taylor expansion of (* -2 (/ (+ (/ 1 a) (/ 1 b)) PI)) in b 31.038 * [taylor]: Taking taylor expansion of -2 in b 31.038 * [backup-simplify]: Simplify -2 into -2 31.038 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b 31.038 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 31.038 * [taylor]: Taking taylor expansion of (/ 1 a) in b 31.038 * [taylor]: Taking taylor expansion of a in b 31.038 * [backup-simplify]: Simplify a into a 31.038 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 31.038 * [taylor]: Taking taylor expansion of (/ 1 b) in b 31.038 * [taylor]: Taking taylor expansion of b in b 31.038 * [backup-simplify]: Simplify 0 into 0 31.038 * [backup-simplify]: Simplify 1 into 1 31.038 * [backup-simplify]: Simplify (/ 1 1) into 1 31.038 * [taylor]: Taking taylor expansion of PI in b 31.038 * [backup-simplify]: Simplify PI into PI 31.038 * [backup-simplify]: Simplify (+ 0 1) into 1 31.039 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 31.039 * [taylor]: Taking taylor expansion of (* -2 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a 31.039 * [taylor]: Taking taylor expansion of -2 in a 31.039 * [backup-simplify]: Simplify -2 into -2 31.039 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a 31.039 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.039 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.039 * [taylor]: Taking taylor expansion of a in a 31.039 * [backup-simplify]: Simplify 0 into 0 31.039 * [backup-simplify]: Simplify 1 into 1 31.039 * [backup-simplify]: Simplify (/ 1 1) into 1 31.039 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.039 * [taylor]: Taking taylor expansion of b in a 31.039 * [backup-simplify]: Simplify b into b 31.039 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.039 * [taylor]: Taking taylor expansion of PI in a 31.039 * [backup-simplify]: Simplify PI into PI 31.040 * [backup-simplify]: Simplify (+ 1 0) into 1 31.040 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 31.040 * [taylor]: Taking taylor expansion of (* -2 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a 31.040 * [taylor]: Taking taylor expansion of -2 in a 31.040 * [backup-simplify]: Simplify -2 into -2 31.040 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a 31.040 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.040 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.040 * [taylor]: Taking taylor expansion of a in a 31.040 * [backup-simplify]: Simplify 0 into 0 31.040 * [backup-simplify]: Simplify 1 into 1 31.040 * [backup-simplify]: Simplify (/ 1 1) into 1 31.040 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.040 * [taylor]: Taking taylor expansion of b in a 31.040 * [backup-simplify]: Simplify b into b 31.040 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.040 * [taylor]: Taking taylor expansion of PI in a 31.040 * [backup-simplify]: Simplify PI into PI 31.041 * [backup-simplify]: Simplify (+ 1 0) into 1 31.041 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 31.042 * [backup-simplify]: Simplify (* -2 (/ 1 PI)) into (/ -2 PI) 31.042 * [taylor]: Taking taylor expansion of (/ -2 PI) in b 31.042 * [taylor]: Taking taylor expansion of -2 in b 31.042 * [backup-simplify]: Simplify -2 into -2 31.042 * [taylor]: Taking taylor expansion of PI in b 31.042 * [backup-simplify]: Simplify PI into PI 31.042 * [backup-simplify]: Simplify (/ -2 PI) into (/ -2 PI) 31.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.043 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 31.043 * [backup-simplify]: Simplify (- (/ (/ 1 b) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) 31.044 * [backup-simplify]: Simplify (+ (* -2 (/ 1 (* b PI))) (* 0 (/ 1 PI))) into (- (* 2 (/ 1 (* b PI)))) 31.044 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (* b PI)))) in b 31.044 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (* b PI))) in b 31.044 * [taylor]: Taking taylor expansion of 2 in b 31.044 * [backup-simplify]: Simplify 2 into 2 31.044 * [taylor]: Taking taylor expansion of (/ 1 (* b PI)) in b 31.044 * [taylor]: Taking taylor expansion of (* b PI) in b 31.044 * [taylor]: Taking taylor expansion of b in b 31.044 * [backup-simplify]: Simplify 0 into 0 31.044 * [backup-simplify]: Simplify 1 into 1 31.044 * [taylor]: Taking taylor expansion of PI in b 31.044 * [backup-simplify]: Simplify PI into PI 31.044 * [backup-simplify]: Simplify (* 0 PI) into 0 31.045 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.045 * [backup-simplify]: Simplify (/ 1 PI) into (/ 1 PI) 31.046 * [backup-simplify]: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) 31.047 * [backup-simplify]: Simplify (- (/ 2 PI)) into (- (* 2 (/ 1 PI))) 31.048 * [backup-simplify]: Simplify (- (* 2 (/ 1 PI))) into (- (* 2 (/ 1 PI))) 31.048 * [backup-simplify]: Simplify (/ -2 PI) into (/ -2 PI) 31.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 31.049 * [backup-simplify]: Simplify (+ 0 0) into 0 31.050 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 31.051 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (/ 1 (* b PI))) (* 0 (/ 1 PI)))) into 0 31.051 * [taylor]: Taking taylor expansion of 0 in b 31.051 * [backup-simplify]: Simplify 0 into 0 31.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 31.053 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 31.053 * [backup-simplify]: Simplify (- 0) into 0 31.053 * [backup-simplify]: Simplify 0 into 0 31.054 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)))) into 0 31.054 * [backup-simplify]: Simplify 0 into 0 31.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 31.055 * [backup-simplify]: Simplify (+ 0 0) into 0 31.056 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 31.057 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 (/ 1 (* b PI))) (* 0 (/ 1 PI))))) into 0 31.057 * [taylor]: Taking taylor expansion of 0 in b 31.057 * [backup-simplify]: Simplify 0 into 0 31.057 * [backup-simplify]: Simplify 0 into 0 31.058 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.059 * [backup-simplify]: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 31.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 31.060 * [backup-simplify]: Simplify (- 0) into 0 31.060 * [backup-simplify]: Simplify 0 into 0 31.061 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 31.061 * [backup-simplify]: Simplify 0 into 0 31.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.062 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 31.062 * [backup-simplify]: Simplify (+ 0 0) into 0 31.066 * [backup-simplify]: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 31.067 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (* b PI))) (* 0 (/ 1 PI)))))) into 0 31.067 * [taylor]: Taking taylor expansion of 0 in b 31.067 * [backup-simplify]: Simplify 0 into 0 31.067 * [backup-simplify]: Simplify 0 into 0 31.069 * [backup-simplify]: Simplify (+ (* (/ -2 PI) (* 1 (/ 1 (/ 1 (- a))))) (* (- (* 2 (/ 1 PI))) (* (/ 1 (/ 1 (- b))) 1))) into (+ (* 2 (/ b PI)) (* 2 (/ a PI))) 31.069 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 31.069 * [backup-simplify]: Simplify (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a)) into (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) 31.069 * [approximate]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in (a b) around 0 31.069 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in b 31.069 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 31.069 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in b 31.069 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 31.069 * [taylor]: Taking taylor expansion of 1/2 in b 31.070 * [backup-simplify]: Simplify 1/2 into 1/2 31.070 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 31.070 * [taylor]: Taking taylor expansion of PI in b 31.070 * [backup-simplify]: Simplify PI into PI 31.070 * [taylor]: Taking taylor expansion of (+ a b) in b 31.070 * [taylor]: Taking taylor expansion of a in b 31.070 * [backup-simplify]: Simplify a into a 31.070 * [taylor]: Taking taylor expansion of b in b 31.070 * [backup-simplify]: Simplify 0 into 0 31.070 * [backup-simplify]: Simplify 1 into 1 31.070 * [backup-simplify]: Simplify (+ a 0) into a 31.070 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 31.070 * [taylor]: Taking taylor expansion of (/ -1 b) in b 31.070 * [taylor]: Taking taylor expansion of -1 in b 31.070 * [backup-simplify]: Simplify -1 into -1 31.070 * [taylor]: Taking taylor expansion of b in b 31.070 * [backup-simplify]: Simplify 0 into 0 31.070 * [backup-simplify]: Simplify 1 into 1 31.070 * [backup-simplify]: Simplify (/ -1 1) into -1 31.070 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 31.070 * [taylor]: Taking taylor expansion of 1/2 in b 31.070 * [backup-simplify]: Simplify 1/2 into 1/2 31.070 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 31.070 * [taylor]: Taking taylor expansion of PI in b 31.070 * [backup-simplify]: Simplify PI into PI 31.070 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 31.070 * [taylor]: Taking taylor expansion of a in b 31.070 * [backup-simplify]: Simplify a into a 31.070 * [taylor]: Taking taylor expansion of (+ a b) in b 31.070 * [taylor]: Taking taylor expansion of a in b 31.070 * [backup-simplify]: Simplify a into a 31.070 * [taylor]: Taking taylor expansion of b in b 31.070 * [backup-simplify]: Simplify 0 into 0 31.070 * [backup-simplify]: Simplify 1 into 1 31.070 * [backup-simplify]: Simplify (+ a 0) into a 31.070 * [backup-simplify]: Simplify (* a a) into (pow a 2) 31.070 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 31.070 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in a 31.070 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 31.071 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in a 31.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 31.071 * [taylor]: Taking taylor expansion of 1/2 in a 31.071 * [backup-simplify]: Simplify 1/2 into 1/2 31.071 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 31.071 * [taylor]: Taking taylor expansion of PI in a 31.071 * [backup-simplify]: Simplify PI into PI 31.071 * [taylor]: Taking taylor expansion of (+ a b) in a 31.071 * [taylor]: Taking taylor expansion of a in a 31.071 * [backup-simplify]: Simplify 0 into 0 31.071 * [backup-simplify]: Simplify 1 into 1 31.071 * [taylor]: Taking taylor expansion of b in a 31.071 * [backup-simplify]: Simplify b into b 31.071 * [backup-simplify]: Simplify (+ 0 b) into b 31.071 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 31.071 * [taylor]: Taking taylor expansion of (/ -1 b) in a 31.071 * [taylor]: Taking taylor expansion of -1 in a 31.071 * [backup-simplify]: Simplify -1 into -1 31.071 * [taylor]: Taking taylor expansion of b in a 31.071 * [backup-simplify]: Simplify b into b 31.071 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 31.071 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 31.071 * [taylor]: Taking taylor expansion of 1/2 in a 31.071 * [backup-simplify]: Simplify 1/2 into 1/2 31.071 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 31.071 * [taylor]: Taking taylor expansion of PI in a 31.071 * [backup-simplify]: Simplify PI into PI 31.071 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 31.071 * [taylor]: Taking taylor expansion of a in a 31.071 * [backup-simplify]: Simplify 0 into 0 31.071 * [backup-simplify]: Simplify 1 into 1 31.071 * [taylor]: Taking taylor expansion of (+ a b) in a 31.071 * [taylor]: Taking taylor expansion of a in a 31.071 * [backup-simplify]: Simplify 0 into 0 31.071 * [backup-simplify]: Simplify 1 into 1 31.071 * [taylor]: Taking taylor expansion of b in a 31.071 * [backup-simplify]: Simplify b into b 31.071 * [backup-simplify]: Simplify (+ 0 b) into b 31.071 * [backup-simplify]: Simplify (* 0 b) into 0 31.071 * [backup-simplify]: Simplify (+ 1 0) into 1 31.072 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 31.072 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 31.072 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in a 31.072 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 31.072 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in a 31.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 31.072 * [taylor]: Taking taylor expansion of 1/2 in a 31.072 * [backup-simplify]: Simplify 1/2 into 1/2 31.072 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 31.072 * [taylor]: Taking taylor expansion of PI in a 31.072 * [backup-simplify]: Simplify PI into PI 31.072 * [taylor]: Taking taylor expansion of (+ a b) in a 31.072 * [taylor]: Taking taylor expansion of a in a 31.072 * [backup-simplify]: Simplify 0 into 0 31.072 * [backup-simplify]: Simplify 1 into 1 31.072 * [taylor]: Taking taylor expansion of b in a 31.072 * [backup-simplify]: Simplify b into b 31.072 * [backup-simplify]: Simplify (+ 0 b) into b 31.072 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 31.072 * [taylor]: Taking taylor expansion of (/ -1 b) in a 31.072 * [taylor]: Taking taylor expansion of -1 in a 31.072 * [backup-simplify]: Simplify -1 into -1 31.072 * [taylor]: Taking taylor expansion of b in a 31.072 * [backup-simplify]: Simplify b into b 31.072 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 31.072 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 31.072 * [taylor]: Taking taylor expansion of 1/2 in a 31.072 * [backup-simplify]: Simplify 1/2 into 1/2 31.072 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 31.072 * [taylor]: Taking taylor expansion of PI in a 31.072 * [backup-simplify]: Simplify PI into PI 31.072 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 31.072 * [taylor]: Taking taylor expansion of a in a 31.072 * [backup-simplify]: Simplify 0 into 0 31.072 * [backup-simplify]: Simplify 1 into 1 31.072 * [taylor]: Taking taylor expansion of (+ a b) in a 31.072 * [taylor]: Taking taylor expansion of a in a 31.072 * [backup-simplify]: Simplify 0 into 0 31.072 * [backup-simplify]: Simplify 1 into 1 31.072 * [taylor]: Taking taylor expansion of b in a 31.072 * [backup-simplify]: Simplify b into b 31.072 * [backup-simplify]: Simplify (+ 0 b) into b 31.072 * [backup-simplify]: Simplify (* 0 b) into 0 31.073 * [backup-simplify]: Simplify (+ 1 0) into 1 31.073 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 31.073 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 31.073 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 31.073 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ PI b))) into (* 1/2 (/ PI b)) 31.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 31.073 * [taylor]: Taking taylor expansion of 1/2 in b 31.073 * [backup-simplify]: Simplify 1/2 into 1/2 31.073 * [taylor]: Taking taylor expansion of (/ PI b) in b 31.073 * [taylor]: Taking taylor expansion of PI in b 31.073 * [backup-simplify]: Simplify PI into PI 31.073 * [taylor]: Taking taylor expansion of b in b 31.073 * [backup-simplify]: Simplify 0 into 0 31.073 * [backup-simplify]: Simplify 1 into 1 31.074 * [backup-simplify]: Simplify (/ PI 1) into PI 31.074 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 31.074 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 31.074 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 31.074 * [backup-simplify]: Simplify (* (* 1/2 (/ PI b)) (/ -1 b)) into (* -1/2 (/ PI (pow b 2))) 31.075 * [backup-simplify]: Simplify (+ 0 0) into 0 31.075 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 31.075 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 31.075 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 31.076 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (- (* 1/2 (/ PI (pow b 2))))) into (- (/ PI (pow b 2))) 31.076 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 31.076 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 31.076 * [taylor]: Taking taylor expansion of PI in b 31.076 * [backup-simplify]: Simplify PI into PI 31.076 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.076 * [taylor]: Taking taylor expansion of b in b 31.076 * [backup-simplify]: Simplify 0 into 0 31.076 * [backup-simplify]: Simplify 1 into 1 31.076 * [backup-simplify]: Simplify (* 1 1) into 1 31.076 * [backup-simplify]: Simplify (/ PI 1) into PI 31.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.078 * [backup-simplify]: Simplify (- 0) into 0 31.078 * [backup-simplify]: Simplify 0 into 0 31.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.079 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 31.079 * [backup-simplify]: Simplify 0 into 0 31.079 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 31.080 * [backup-simplify]: Simplify (+ 1 0) into 1 31.080 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 31.080 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 31.080 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ PI b)) 0) (* (- (* 1/2 (/ PI (pow b 2)))) (/ -1 b))) into (* 1/2 (/ PI (pow b 3))) 31.080 * [backup-simplify]: Simplify (+ 0 0) into 0 31.081 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 31.081 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 31.081 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 31.082 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (* 1/2 (/ PI (pow b 3)))) into (/ PI (pow b 3)) 31.082 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 31.082 * [taylor]: Taking taylor expansion of PI in b 31.082 * [backup-simplify]: Simplify PI into PI 31.082 * [taylor]: Taking taylor expansion of (pow b 3) in b 31.082 * [taylor]: Taking taylor expansion of b in b 31.082 * [backup-simplify]: Simplify 0 into 0 31.082 * [backup-simplify]: Simplify 1 into 1 31.082 * [backup-simplify]: Simplify (* 1 1) into 1 31.082 * [backup-simplify]: Simplify (* 1 1) into 1 31.083 * [backup-simplify]: Simplify (/ PI 1) into PI 31.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.086 * [backup-simplify]: Simplify 0 into 0 31.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.087 * [backup-simplify]: Simplify (- 0) into 0 31.087 * [backup-simplify]: Simplify 0 into 0 31.088 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 31.088 * [backup-simplify]: Simplify 0 into 0 31.088 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 31.089 * [backup-simplify]: Simplify (+ 0 0) into 0 31.089 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 31.089 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 31.090 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) 0) (* (* 1/2 (/ PI (pow b 3))) (/ -1 b)))) into (- (* 1/2 (/ PI (pow b 4)))) 31.090 * [backup-simplify]: Simplify (+ 0 0) into 0 31.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 b))))) into 0 31.091 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) 31.092 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 4)))) (+ (* 0 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b))))) into (- (* 1/2 (/ PI (pow b 4)))) 31.092 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI (pow b 4)))) (- (* 1/2 (/ PI (pow b 4))))) into (- (/ PI (pow b 4))) 31.092 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 4))) in b 31.092 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 31.092 * [taylor]: Taking taylor expansion of PI in b 31.092 * [backup-simplify]: Simplify PI into PI 31.092 * [taylor]: Taking taylor expansion of (pow b 4) in b 31.092 * [taylor]: Taking taylor expansion of b in b 31.092 * [backup-simplify]: Simplify 0 into 0 31.092 * [backup-simplify]: Simplify 1 into 1 31.092 * [backup-simplify]: Simplify (* 1 1) into 1 31.093 * [backup-simplify]: Simplify (* 1 1) into 1 31.093 * [backup-simplify]: Simplify (/ PI 1) into PI 31.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.098 * [backup-simplify]: Simplify (- 0) into 0 31.098 * [backup-simplify]: Simplify 0 into 0 31.099 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 31.099 * [backup-simplify]: Simplify (fma (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) (/ -1 (/ 1 b)) (/ (/ 1 (/ (* (+ (/ 1 a) (/ 1 b)) 2) PI)) (/ 1 a))) into (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 31.099 * [approximate]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 31.099 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in b 31.099 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 31.099 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in b 31.099 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 31.099 * [taylor]: Taking taylor expansion of 1/2 in b 31.099 * [backup-simplify]: Simplify 1/2 into 1/2 31.099 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 31.099 * [taylor]: Taking taylor expansion of PI in b 31.099 * [backup-simplify]: Simplify PI into PI 31.099 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 31.099 * [taylor]: Taking taylor expansion of (/ 1 a) in b 31.099 * [taylor]: Taking taylor expansion of a in b 31.099 * [backup-simplify]: Simplify a into a 31.099 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 31.099 * [taylor]: Taking taylor expansion of (/ 1 b) in b 31.099 * [taylor]: Taking taylor expansion of b in b 31.099 * [backup-simplify]: Simplify 0 into 0 31.099 * [backup-simplify]: Simplify 1 into 1 31.100 * [backup-simplify]: Simplify (/ 1 1) into 1 31.100 * [backup-simplify]: Simplify (+ 0 1) into 1 31.100 * [backup-simplify]: Simplify (/ PI 1) into PI 31.100 * [taylor]: Taking taylor expansion of (* -1 b) in b 31.100 * [taylor]: Taking taylor expansion of -1 in b 31.100 * [backup-simplify]: Simplify -1 into -1 31.100 * [taylor]: Taking taylor expansion of b in b 31.100 * [backup-simplify]: Simplify 0 into 0 31.100 * [backup-simplify]: Simplify 1 into 1 31.100 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 31.100 * [taylor]: Taking taylor expansion of 1/2 in b 31.100 * [backup-simplify]: Simplify 1/2 into 1/2 31.100 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 31.100 * [taylor]: Taking taylor expansion of (* a PI) in b 31.100 * [taylor]: Taking taylor expansion of a in b 31.100 * [backup-simplify]: Simplify a into a 31.100 * [taylor]: Taking taylor expansion of PI in b 31.100 * [backup-simplify]: Simplify PI into PI 31.100 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 31.100 * [taylor]: Taking taylor expansion of (/ 1 a) in b 31.100 * [taylor]: Taking taylor expansion of a in b 31.100 * [backup-simplify]: Simplify a into a 31.100 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 31.100 * [taylor]: Taking taylor expansion of (/ 1 b) in b 31.100 * [taylor]: Taking taylor expansion of b in b 31.101 * [backup-simplify]: Simplify 0 into 0 31.101 * [backup-simplify]: Simplify 1 into 1 31.101 * [backup-simplify]: Simplify (/ 1 1) into 1 31.101 * [backup-simplify]: Simplify (* a PI) into (* a PI) 31.101 * [backup-simplify]: Simplify (+ 0 1) into 1 31.101 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 31.101 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 31.101 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 31.101 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in a 31.101 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 31.101 * [taylor]: Taking taylor expansion of 1/2 in a 31.101 * [backup-simplify]: Simplify 1/2 into 1/2 31.101 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 31.101 * [taylor]: Taking taylor expansion of PI in a 31.101 * [backup-simplify]: Simplify PI into PI 31.101 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.101 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.101 * [taylor]: Taking taylor expansion of a in a 31.101 * [backup-simplify]: Simplify 0 into 0 31.101 * [backup-simplify]: Simplify 1 into 1 31.102 * [backup-simplify]: Simplify (/ 1 1) into 1 31.102 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.102 * [taylor]: Taking taylor expansion of b in a 31.102 * [backup-simplify]: Simplify b into b 31.102 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.102 * [backup-simplify]: Simplify (+ 1 0) into 1 31.102 * [backup-simplify]: Simplify (/ PI 1) into PI 31.102 * [taylor]: Taking taylor expansion of (* -1 b) in a 31.102 * [taylor]: Taking taylor expansion of -1 in a 31.102 * [backup-simplify]: Simplify -1 into -1 31.102 * [taylor]: Taking taylor expansion of b in a 31.102 * [backup-simplify]: Simplify b into b 31.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 31.102 * [taylor]: Taking taylor expansion of 1/2 in a 31.102 * [backup-simplify]: Simplify 1/2 into 1/2 31.102 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 31.102 * [taylor]: Taking taylor expansion of (* a PI) in a 31.102 * [taylor]: Taking taylor expansion of a in a 31.103 * [backup-simplify]: Simplify 0 into 0 31.103 * [backup-simplify]: Simplify 1 into 1 31.103 * [taylor]: Taking taylor expansion of PI in a 31.103 * [backup-simplify]: Simplify PI into PI 31.103 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.103 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.103 * [taylor]: Taking taylor expansion of a in a 31.103 * [backup-simplify]: Simplify 0 into 0 31.103 * [backup-simplify]: Simplify 1 into 1 31.103 * [backup-simplify]: Simplify (/ 1 1) into 1 31.103 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.103 * [taylor]: Taking taylor expansion of b in a 31.103 * [backup-simplify]: Simplify b into b 31.103 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.103 * [backup-simplify]: Simplify (* 0 PI) into 0 31.104 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.104 * [backup-simplify]: Simplify (+ 1 0) into 1 31.105 * [backup-simplify]: Simplify (/ PI 1) into PI 31.105 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 31.105 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 31.105 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in a 31.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 31.105 * [taylor]: Taking taylor expansion of 1/2 in a 31.105 * [backup-simplify]: Simplify 1/2 into 1/2 31.105 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 31.105 * [taylor]: Taking taylor expansion of PI in a 31.105 * [backup-simplify]: Simplify PI into PI 31.105 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.105 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.105 * [taylor]: Taking taylor expansion of a in a 31.105 * [backup-simplify]: Simplify 0 into 0 31.105 * [backup-simplify]: Simplify 1 into 1 31.105 * [backup-simplify]: Simplify (/ 1 1) into 1 31.105 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.105 * [taylor]: Taking taylor expansion of b in a 31.105 * [backup-simplify]: Simplify b into b 31.105 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.106 * [backup-simplify]: Simplify (+ 1 0) into 1 31.106 * [backup-simplify]: Simplify (/ PI 1) into PI 31.106 * [taylor]: Taking taylor expansion of (* -1 b) in a 31.106 * [taylor]: Taking taylor expansion of -1 in a 31.106 * [backup-simplify]: Simplify -1 into -1 31.106 * [taylor]: Taking taylor expansion of b in a 31.106 * [backup-simplify]: Simplify b into b 31.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 31.106 * [taylor]: Taking taylor expansion of 1/2 in a 31.106 * [backup-simplify]: Simplify 1/2 into 1/2 31.106 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 31.106 * [taylor]: Taking taylor expansion of (* a PI) in a 31.106 * [taylor]: Taking taylor expansion of a in a 31.106 * [backup-simplify]: Simplify 0 into 0 31.106 * [backup-simplify]: Simplify 1 into 1 31.106 * [taylor]: Taking taylor expansion of PI in a 31.106 * [backup-simplify]: Simplify PI into PI 31.106 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.106 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.106 * [taylor]: Taking taylor expansion of a in a 31.106 * [backup-simplify]: Simplify 0 into 0 31.106 * [backup-simplify]: Simplify 1 into 1 31.107 * [backup-simplify]: Simplify (/ 1 1) into 1 31.107 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.107 * [taylor]: Taking taylor expansion of b in a 31.107 * [backup-simplify]: Simplify b into b 31.107 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.107 * [backup-simplify]: Simplify (* 0 PI) into 0 31.108 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.108 * [backup-simplify]: Simplify (+ 1 0) into 1 31.108 * [backup-simplify]: Simplify (/ PI 1) into PI 31.109 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 31.109 * [backup-simplify]: Simplify (* -1 b) into (* -1 b) 31.109 * [backup-simplify]: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) 31.109 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 31.109 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI))) in b 31.109 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 31.109 * [taylor]: Taking taylor expansion of 1/2 in b 31.109 * [backup-simplify]: Simplify 1/2 into 1/2 31.109 * [taylor]: Taking taylor expansion of (* b PI) in b 31.109 * [taylor]: Taking taylor expansion of b in b 31.109 * [backup-simplify]: Simplify 0 into 0 31.109 * [backup-simplify]: Simplify 1 into 1 31.109 * [taylor]: Taking taylor expansion of PI in b 31.109 * [backup-simplify]: Simplify PI into PI 31.110 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.111 * [backup-simplify]: Simplify (* 0 PI) into 0 31.112 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 31.112 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 31.113 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 31.113 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 b)) into 0 31.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.114 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 31.114 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 31.115 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 31.115 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (* (- (* 1/2 (/ PI b))) (* -1 b))) into (* 1/2 PI) 31.115 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 31.116 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 1/2 PI)) into PI 31.116 * [taylor]: Taking taylor expansion of PI in b 31.116 * [backup-simplify]: Simplify PI into PI 31.116 * [backup-simplify]: Simplify 0 into 0 31.117 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.118 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 31.118 * [backup-simplify]: Simplify (- 0) into 0 31.118 * [backup-simplify]: Simplify 0 into 0 31.118 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 b))) into 0 31.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 31.119 * [backup-simplify]: Simplify (+ 0 0) into 0 31.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 31.121 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 31.121 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 0) (* (* 1/2 (/ PI (pow b 2))) (* -1 b)))) into (- (* 1/2 (/ PI b))) 31.122 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.122 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 31.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 31.123 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 31.124 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI b))) (- (* 1/2 (/ PI b)))) into (- (/ PI b)) 31.124 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 31.124 * [taylor]: Taking taylor expansion of (/ PI b) in b 31.124 * [taylor]: Taking taylor expansion of PI in b 31.124 * [backup-simplify]: Simplify PI into PI 31.124 * [taylor]: Taking taylor expansion of b in b 31.124 * [backup-simplify]: Simplify 0 into 0 31.124 * [backup-simplify]: Simplify 1 into 1 31.124 * [backup-simplify]: Simplify (/ PI 1) into PI 31.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.126 * [backup-simplify]: Simplify (- 0) into 0 31.126 * [backup-simplify]: Simplify 0 into 0 31.126 * [backup-simplify]: Simplify 0 into 0 31.128 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 31.129 * [backup-simplify]: Simplify (- 0) into 0 31.129 * [backup-simplify]: Simplify 0 into 0 31.130 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 31.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 31.131 * [backup-simplify]: Simplify (+ 0 0) into 0 31.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ 0 1)) (* (/ PI (pow b 2)) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 3))) 31.134 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (+ (* 0 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI)))) into (- (* 1/2 (/ PI (pow b 3)))) 31.135 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 0) (+ (* (* 1/2 (/ PI (pow b 2))) 0) (* (- (* 1/2 (/ PI (pow b 3)))) (* -1 b))))) into (* 1/2 (/ PI (pow b 2))) 31.136 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 31.138 * [backup-simplify]: Simplify (+ 0 0) into 0 31.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 31.140 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 31.140 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (* 1/2 (/ PI (pow b 2)))) into (/ PI (pow b 2)) 31.140 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 31.140 * [taylor]: Taking taylor expansion of PI in b 31.140 * [backup-simplify]: Simplify PI into PI 31.140 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.140 * [taylor]: Taking taylor expansion of b in b 31.140 * [backup-simplify]: Simplify 0 into 0 31.140 * [backup-simplify]: Simplify 1 into 1 31.141 * [backup-simplify]: Simplify (* 1 1) into 1 31.141 * [backup-simplify]: Simplify (/ PI 1) into PI 31.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.144 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.147 * [backup-simplify]: Simplify 0 into 0 31.148 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) 31.149 * [backup-simplify]: Simplify (fma (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ -1 (/ 1 (- b))) (/ (/ 1 (/ (* (+ (/ 1 (- a)) (/ 1 (- b))) 2) PI)) (/ 1 (- a)))) into (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 31.149 * [approximate]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 31.149 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in b 31.149 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 31.149 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in b 31.149 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 31.149 * [taylor]: Taking taylor expansion of -1/2 in b 31.149 * [backup-simplify]: Simplify -1/2 into -1/2 31.149 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 31.149 * [taylor]: Taking taylor expansion of PI in b 31.149 * [backup-simplify]: Simplify PI into PI 31.149 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 31.149 * [taylor]: Taking taylor expansion of (/ 1 a) in b 31.150 * [taylor]: Taking taylor expansion of a in b 31.150 * [backup-simplify]: Simplify a into a 31.150 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 31.150 * [taylor]: Taking taylor expansion of (/ 1 b) in b 31.150 * [taylor]: Taking taylor expansion of b in b 31.150 * [backup-simplify]: Simplify 0 into 0 31.150 * [backup-simplify]: Simplify 1 into 1 31.150 * [backup-simplify]: Simplify (/ 1 1) into 1 31.151 * [backup-simplify]: Simplify (+ 0 1) into 1 31.151 * [backup-simplify]: Simplify (/ PI 1) into PI 31.151 * [taylor]: Taking taylor expansion of b in b 31.151 * [backup-simplify]: Simplify 0 into 0 31.151 * [backup-simplify]: Simplify 1 into 1 31.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 31.151 * [taylor]: Taking taylor expansion of 1/2 in b 31.151 * [backup-simplify]: Simplify 1/2 into 1/2 31.151 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 31.151 * [taylor]: Taking taylor expansion of (* a PI) in b 31.151 * [taylor]: Taking taylor expansion of a in b 31.151 * [backup-simplify]: Simplify a into a 31.151 * [taylor]: Taking taylor expansion of PI in b 31.151 * [backup-simplify]: Simplify PI into PI 31.151 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 31.151 * [taylor]: Taking taylor expansion of (/ 1 a) in b 31.151 * [taylor]: Taking taylor expansion of a in b 31.151 * [backup-simplify]: Simplify a into a 31.151 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 31.151 * [taylor]: Taking taylor expansion of (/ 1 b) in b 31.151 * [taylor]: Taking taylor expansion of b in b 31.151 * [backup-simplify]: Simplify 0 into 0 31.151 * [backup-simplify]: Simplify 1 into 1 31.152 * [backup-simplify]: Simplify (/ 1 1) into 1 31.152 * [backup-simplify]: Simplify (* a PI) into (* a PI) 31.152 * [backup-simplify]: Simplify (+ 0 1) into 1 31.152 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 31.152 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 31.152 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 31.152 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in a 31.152 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 31.152 * [taylor]: Taking taylor expansion of -1/2 in a 31.152 * [backup-simplify]: Simplify -1/2 into -1/2 31.152 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 31.152 * [taylor]: Taking taylor expansion of PI in a 31.152 * [backup-simplify]: Simplify PI into PI 31.152 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.152 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.152 * [taylor]: Taking taylor expansion of a in a 31.152 * [backup-simplify]: Simplify 0 into 0 31.152 * [backup-simplify]: Simplify 1 into 1 31.153 * [backup-simplify]: Simplify (/ 1 1) into 1 31.153 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.153 * [taylor]: Taking taylor expansion of b in a 31.153 * [backup-simplify]: Simplify b into b 31.153 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.153 * [backup-simplify]: Simplify (+ 1 0) into 1 31.153 * [backup-simplify]: Simplify (/ PI 1) into PI 31.153 * [taylor]: Taking taylor expansion of b in a 31.153 * [backup-simplify]: Simplify b into b 31.153 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 31.153 * [taylor]: Taking taylor expansion of 1/2 in a 31.153 * [backup-simplify]: Simplify 1/2 into 1/2 31.153 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 31.153 * [taylor]: Taking taylor expansion of (* a PI) in a 31.153 * [taylor]: Taking taylor expansion of a in a 31.153 * [backup-simplify]: Simplify 0 into 0 31.153 * [backup-simplify]: Simplify 1 into 1 31.153 * [taylor]: Taking taylor expansion of PI in a 31.153 * [backup-simplify]: Simplify PI into PI 31.153 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.153 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.153 * [taylor]: Taking taylor expansion of a in a 31.154 * [backup-simplify]: Simplify 0 into 0 31.154 * [backup-simplify]: Simplify 1 into 1 31.154 * [backup-simplify]: Simplify (/ 1 1) into 1 31.154 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.154 * [taylor]: Taking taylor expansion of b in a 31.154 * [backup-simplify]: Simplify b into b 31.154 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.154 * [backup-simplify]: Simplify (* 0 PI) into 0 31.155 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.155 * [backup-simplify]: Simplify (+ 1 0) into 1 31.156 * [backup-simplify]: Simplify (/ PI 1) into PI 31.156 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 31.156 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 31.156 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in a 31.156 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 31.156 * [taylor]: Taking taylor expansion of -1/2 in a 31.156 * [backup-simplify]: Simplify -1/2 into -1/2 31.156 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 31.156 * [taylor]: Taking taylor expansion of PI in a 31.156 * [backup-simplify]: Simplify PI into PI 31.156 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.156 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.156 * [taylor]: Taking taylor expansion of a in a 31.156 * [backup-simplify]: Simplify 0 into 0 31.156 * [backup-simplify]: Simplify 1 into 1 31.156 * [backup-simplify]: Simplify (/ 1 1) into 1 31.156 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.156 * [taylor]: Taking taylor expansion of b in a 31.156 * [backup-simplify]: Simplify b into b 31.156 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.157 * [backup-simplify]: Simplify (+ 1 0) into 1 31.157 * [backup-simplify]: Simplify (/ PI 1) into PI 31.157 * [taylor]: Taking taylor expansion of b in a 31.157 * [backup-simplify]: Simplify b into b 31.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 31.157 * [taylor]: Taking taylor expansion of 1/2 in a 31.157 * [backup-simplify]: Simplify 1/2 into 1/2 31.157 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 31.157 * [taylor]: Taking taylor expansion of (* a PI) in a 31.157 * [taylor]: Taking taylor expansion of a in a 31.157 * [backup-simplify]: Simplify 0 into 0 31.157 * [backup-simplify]: Simplify 1 into 1 31.157 * [taylor]: Taking taylor expansion of PI in a 31.157 * [backup-simplify]: Simplify PI into PI 31.157 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 31.157 * [taylor]: Taking taylor expansion of (/ 1 a) in a 31.157 * [taylor]: Taking taylor expansion of a in a 31.157 * [backup-simplify]: Simplify 0 into 0 31.157 * [backup-simplify]: Simplify 1 into 1 31.157 * [backup-simplify]: Simplify (/ 1 1) into 1 31.157 * [taylor]: Taking taylor expansion of (/ 1 b) in a 31.157 * [taylor]: Taking taylor expansion of b in a 31.157 * [backup-simplify]: Simplify b into b 31.157 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 31.158 * [backup-simplify]: Simplify (* 0 PI) into 0 31.159 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.159 * [backup-simplify]: Simplify (+ 1 0) into 1 31.159 * [backup-simplify]: Simplify (/ PI 1) into PI 31.160 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 31.160 * [backup-simplify]: Simplify (* (* -1/2 PI) b) into (* -1/2 (* b PI)) 31.160 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 31.160 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI))) in b 31.160 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 31.160 * [taylor]: Taking taylor expansion of 1/2 in b 31.160 * [backup-simplify]: Simplify 1/2 into 1/2 31.160 * [taylor]: Taking taylor expansion of (* b PI) in b 31.160 * [taylor]: Taking taylor expansion of b in b 31.160 * [backup-simplify]: Simplify 0 into 0 31.160 * [backup-simplify]: Simplify 1 into 1 31.160 * [taylor]: Taking taylor expansion of PI in b 31.160 * [backup-simplify]: Simplify PI into PI 31.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 31.162 * [backup-simplify]: Simplify (* 0 PI) into 0 31.163 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 31.163 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 31.164 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 31.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.164 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 31.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 31.165 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 31.168 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (* (* 1/2 (/ PI b)) b)) into (* 1/2 PI) 31.168 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 31.169 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 1/2 PI)) into PI 31.169 * [taylor]: Taking taylor expansion of PI in b 31.169 * [backup-simplify]: Simplify PI into PI 31.169 * [backup-simplify]: Simplify 0 into 0 31.170 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 31.171 * [backup-simplify]: Simplify (- 0) into 0 31.171 * [backup-simplify]: Simplify 0 into 0 31.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 31.172 * [backup-simplify]: Simplify (+ 0 0) into 0 31.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 31.173 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 31.174 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) 0) (* (- (* 1/2 (/ PI (pow b 2)))) b))) into (- (* 1/2 (/ PI b))) 31.174 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 31.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 31.175 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 31.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 31.175 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 31.176 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI b))) (- (* 1/2 (/ PI b)))) into (- (/ PI b)) 31.176 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 31.176 * [taylor]: Taking taylor expansion of (/ PI b) in b 31.176 * [taylor]: Taking taylor expansion of PI in b 31.176 * [backup-simplify]: Simplify PI into PI 31.176 * [taylor]: Taking taylor expansion of b in b 31.176 * [backup-simplify]: Simplify 0 into 0 31.176 * [backup-simplify]: Simplify 1 into 1 31.176 * [backup-simplify]: Simplify (/ PI 1) into PI 31.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.178 * [backup-simplify]: Simplify (- 0) into 0 31.178 * [backup-simplify]: Simplify 0 into 0 31.178 * [backup-simplify]: Simplify 0 into 0 31.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 31.180 * [backup-simplify]: Simplify (- 0) into 0 31.180 * [backup-simplify]: Simplify 0 into 0 31.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 31.181 * [backup-simplify]: Simplify (+ 0 0) into 0 31.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ 0 1)) (* (/ PI (pow b 2)) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 3))) 31.184 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI (pow b 3)))) (+ (* 0 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI)))) into (* 1/2 (/ PI (pow b 3))) 31.185 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) 0) (* (* 1/2 (/ PI (pow b 3))) b)))) into (* 1/2 (/ PI (pow b 2))) 31.186 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 31.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 31.187 * [backup-simplify]: Simplify (+ 0 0) into 0 31.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 31.189 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 31.189 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (* 1/2 (/ PI (pow b 2)))) into (/ PI (pow b 2)) 31.189 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 31.189 * [taylor]: Taking taylor expansion of PI in b 31.189 * [backup-simplify]: Simplify PI into PI 31.189 * [taylor]: Taking taylor expansion of (pow b 2) in b 31.189 * [taylor]: Taking taylor expansion of b in b 31.189 * [backup-simplify]: Simplify 0 into 0 31.189 * [backup-simplify]: Simplify 1 into 1 31.190 * [backup-simplify]: Simplify (* 1 1) into 1 31.190 * [backup-simplify]: Simplify (/ PI 1) into PI 31.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 31.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 31.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 31.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 31.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 31.195 * [backup-simplify]: Simplify 0 into 0 31.196 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) 31.196 * * * [progress]: simplifying candidates 31.196 * * * * [progress]: [ 1 / 130 ] simplifiying candidate # 31.196 * * * * [progress]: [ 2 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 3 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 4 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 5 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 6 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 7 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 8 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 9 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 10 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 11 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 12 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 13 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 14 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 15 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 16 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 17 / 130 ] simplifiying candidate # 31.197 * * * * [progress]: [ 18 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 19 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 20 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 21 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 22 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 23 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 24 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 25 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 26 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 27 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 28 / 130 ] simplifiying candidate # 31.198 * * * * [progress]: [ 29 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 30 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 31 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 32 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 33 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 34 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 35 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 36 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 37 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 38 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 39 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 40 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 41 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 42 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 43 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 44 / 130 ] simplifiying candidate # 31.199 * * * * [progress]: [ 45 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 46 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 47 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 48 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 49 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 50 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 51 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 52 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 53 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 54 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 55 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 56 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 57 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 58 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 59 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 60 / 130 ] simplifiying candidate # 31.200 * * * * [progress]: [ 61 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 62 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 63 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 64 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 65 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 66 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 67 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 68 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 69 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 70 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 71 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 72 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 73 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 74 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 75 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 76 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 77 / 130 ] simplifiying candidate # 31.201 * * * * [progress]: [ 78 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 79 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 80 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 81 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 82 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 83 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 84 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 85 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 86 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 87 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 88 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 89 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 90 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 91 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 92 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 93 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 94 / 130 ] simplifiying candidate # 31.202 * * * * [progress]: [ 95 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 96 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 97 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 98 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 99 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 100 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 101 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 102 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 103 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 104 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 105 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 106 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 107 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 108 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 109 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 110 / 130 ] simplifiying candidate # 31.203 * * * * [progress]: [ 111 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 112 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 113 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 114 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 115 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 116 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 117 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 118 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 119 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 120 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 121 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 122 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 123 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 124 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 125 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 126 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 127 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 128 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 129 / 130 ] simplifiying candidate # 31.204 * * * * [progress]: [ 130 / 130 ] simplifiying candidate # 31.206 * [simplify]: Simplifying: (expm1 (/ 1 (/ (* (+ a b) 2) PI))) (log1p (/ 1 (/ (* (+ a b) 2) PI))) (- 1) (- (- (+ (log (+ a b)) (log 2)) (log PI))) (- (- (log (* (+ a b) 2)) (log PI))) (- (log (/ (* (+ a b) 2) PI))) (- 0 (- (+ (log (+ a b)) (log 2)) (log PI))) (- 0 (- (log (* (+ a b) 2)) (log PI))) (- 0 (log (/ (* (+ a b) 2) PI))) (- (log 1) (- (+ (log (+ a b)) (log 2)) (log PI))) (- (log 1) (- (log (* (+ a b) 2)) (log PI))) (- (log 1) (log (/ (* (+ a b) 2) PI))) (log (/ 1 (/ (* (+ a b) 2) PI))) (exp (/ 1 (/ (* (+ a b) 2) PI))) (/ (* (* 1 1) 1) (/ (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2)) (* (* PI PI) PI))) (/ (* (* 1 1) 1) (/ (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2)) (* (* PI PI) PI))) (/ (* (* 1 1) 1) (* (* (/ (* (+ a b) 2) PI) (/ (* (+ a b) 2) PI)) (/ (* (+ a b) 2) PI))) (* (cbrt (/ 1 (/ (* (+ a b) 2) PI))) (cbrt (/ 1 (/ (* (+ a b) 2) PI)))) (cbrt (/ 1 (/ (* (+ a b) 2) PI))) (* (* (/ 1 (/ (* (+ a b) 2) PI)) (/ 1 (/ (* (+ a b) 2) PI))) (/ 1 (/ (* (+ a b) 2) PI))) (sqrt (/ 1 (/ (* (+ a b) 2) PI))) (sqrt (/ 1 (/ (* (+ a b) 2) PI))) (- 1) (- (/ (* (+ a b) 2) PI)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (* (+ a b) 2) PI)) (cbrt (/ (* (+ a b) 2) PI)))) (/ (cbrt 1) (cbrt (/ (* (+ a b) 2) PI))) (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (* (+ a b) 2) PI))) (/ (cbrt 1) (sqrt (/ (* (+ a b) 2) PI))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ a b) (* (cbrt PI) (cbrt PI)))) (/ (cbrt 1) (/ 2 (cbrt PI))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ a b) (sqrt PI))) (/ (cbrt 1) (/ 2 (sqrt PI))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ a b) 1)) (/ (cbrt 1) (/ 2 PI)) (/ (* (cbrt 1) (cbrt 1)) 1) (/ (cbrt 1) (/ (* (+ a b) 2) PI)) (/ (* (cbrt 1) (cbrt 1)) (* (+ a b) 2)) (/ (cbrt 1) (/ 1 PI)) (/ (sqrt 1) (* (cbrt (/ (* (+ a b) 2) PI)) (cbrt (/ (* (+ a b) 2) PI)))) (/ (sqrt 1) (cbrt (/ (* (+ a b) 2) PI))) (/ (sqrt 1) (sqrt (/ (* (+ a b) 2) PI))) (/ (sqrt 1) (sqrt (/ (* (+ a b) 2) PI))) (/ (sqrt 1) (/ (+ a b) (* (cbrt PI) (cbrt PI)))) (/ (sqrt 1) (/ 2 (cbrt PI))) (/ (sqrt 1) (/ (+ a b) (sqrt PI))) (/ (sqrt 1) (/ 2 (sqrt PI))) (/ (sqrt 1) (/ (+ a b) 1)) (/ (sqrt 1) (/ 2 PI)) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (* (+ a b) 2) PI)) (/ (sqrt 1) (* (+ a b) 2)) (/ (sqrt 1) (/ 1 PI)) (/ 1 (* (cbrt (/ (* (+ a b) 2) PI)) (cbrt (/ (* (+ a b) 2) PI)))) (/ 1 (cbrt (/ (* (+ a b) 2) PI))) (/ 1 (sqrt (/ (* (+ a b) 2) PI))) (/ 1 (sqrt (/ (* (+ a b) 2) PI))) (/ 1 (/ (+ a b) (* (cbrt PI) (cbrt PI)))) (/ 1 (/ 2 (cbrt PI))) (/ 1 (/ (+ a b) (sqrt PI))) (/ 1 (/ 2 (sqrt PI))) (/ 1 (/ (+ a b) 1)) (/ 1 (/ 2 PI)) (/ 1 1) (/ 1 (/ (* (+ a b) 2) PI)) (/ 1 (* (+ a b) 2)) (/ 1 (/ 1 PI)) (/ 1 (/ (* (+ a b) 2) PI)) (/ (/ (* (+ a b) 2) PI) 1) (/ 1 (* (cbrt (/ (* (+ a b) 2) PI)) (cbrt (/ (* (+ a b) 2) PI)))) (/ 1 (sqrt (/ (* (+ a b) 2) PI))) (/ 1 (/ (+ a b) (* (cbrt PI) (cbrt PI)))) (/ 1 (/ (+ a b) (sqrt PI))) (/ 1 (/ (+ a b) 1)) (/ 1 1) (/ 1 (* (+ a b) 2)) (/ (/ (* (+ a b) 2) PI) (cbrt 1)) (/ (/ (* (+ a b) 2) PI) (sqrt 1)) (/ (/ (* (+ a b) 2) PI) 1) (/ 1 (* (+ a b) 2)) (expm1 (/ PI (* (+ a b) 2))) (log1p (/ PI (* (+ a b) 2))) (- (log PI) (+ (log (+ a b)) (log 2))) (- (log PI) (log (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (exp (/ PI (* (+ a b) 2))) (/ (* (* PI PI) PI) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2))) (/ (* (* PI PI) PI) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (cbrt (/ PI (* (+ a b) 2))) (* (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2))) (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (- PI) (- (* (+ a b) 2)) (/ (* (cbrt PI) (cbrt PI)) (+ a b)) (/ (cbrt PI) 2) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 2) (/ 1 (+ a b)) (/ PI 2) (/ 1 (* (+ a b) 2)) (/ (* (+ a b) 2) PI) (/ PI (+ a b)) (/ (* (+ a b) 2) (cbrt PI)) (/ (* (+ a b) 2) (sqrt PI)) (/ (* (+ a b) 2) PI) (/ PI (* (+ (pow a 3) (pow b 3)) 2)) (/ PI (* (- (* a a) (* b b)) 2)) (expm1 (/ (* (+ a b) 2) PI)) (log1p (/ (* (+ a b) 2) PI)) (- (+ (log (+ a b)) (log 2)) (log PI)) (- (log (* (+ a b) 2)) (log PI)) (log (/ (* (+ a b) 2) PI)) (exp (/ (* (+ a b) 2) PI)) (/ (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2)) (* (* PI PI) PI)) (/ (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2)) (* (* PI PI) PI)) (* (cbrt (/ (* (+ a b) 2) PI)) (cbrt (/ (* (+ a b) 2) PI))) (cbrt (/ (* (+ a b) 2) PI)) (* (* (/ (* (+ a b) 2) PI) (/ (* (+ a b) 2) PI)) (/ (* (+ a b) 2) PI)) (sqrt (/ (* (+ a b) 2) PI)) (sqrt (/ (* (+ a b) 2) PI)) (- (* (+ a b) 2)) (- PI) (/ (+ a b) (* (cbrt PI) (cbrt PI))) (/ 2 (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ 2 (sqrt PI)) (/ (+ a b) 1) (/ 2 PI) (/ 1 PI) (/ PI (* (+ a b) 2)) (/ (* (+ a b) 2) (* (cbrt PI) (cbrt PI))) (/ (* (+ a b) 2) (sqrt PI)) (/ (* (+ a b) 2) 1) (/ PI 2) (* PI (+ (* a a) (- (* b b) (* a b)))) (* PI (- a b)) (expm1 (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a))) (log1p (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a))) (* (/ PI (* (+ a b) 2)) (/ -1 b)) (log (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a))) (exp (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a))) (* (cbrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a))) (cbrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a)))) (cbrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a))) (* (* (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a)) (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a))) (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a))) (sqrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a))) (sqrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (/ (/ 1 (/ (* (+ a b) 2) PI)) a))) 0 0 0 0 0 0 (+ (* 2 (/ b PI)) (* 2 (/ a PI))) (+ (* 2 (/ b PI)) (* 2 (/ a PI))) (+ (* 2 (/ b PI)) (* 2 (/ a PI))) (* 1/2 (/ PI (* a b))) (* -1/2 (/ PI (* a b))) (* -1/2 (/ PI (* a b))) 31.210 * * [simplify]: iteration 1: (186 enodes) 31.346 * * [simplify]: iteration 2: (475 enodes) 32.396 * * [simplify]: iteration 3: (1869 enodes) 42.334 * * [simplify]: Extracting #0: cost 67 inf + 0 42.338 * * [simplify]: Extracting #1: cost 1828 inf + 87 42.354 * * [simplify]: Extracting #2: cost 3169 inf + 13293 42.403 * * [simplify]: Extracting #3: cost 2422 inf + 129266 42.534 * * [simplify]: Extracting #4: cost 472 inf + 468878 42.687 * * [simplify]: Extracting #5: cost 16 inf + 556574 42.865 * * [simplify]: Extracting #6: cost 2 inf + 558835 43.021 * * [simplify]: Extracting #7: cost 0 inf + 559259 43.235 * [simplify]: Simplified to: (expm1 (* 1/2 (/ PI (+ a b)))) (log1p (* 1/2 (/ PI (+ a b)))) -1 (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (sqrt (exp (/ PI (+ a b)))) (* (* (* 1/2 (/ PI (+ a b))) (* 1/2 (/ PI (+ a b)))) (* 1/2 (/ PI (+ a b)))) (* (* (* 1/2 (/ PI (+ a b))) (* 1/2 (/ PI (+ a b)))) (* 1/2 (/ PI (+ a b)))) (* (* (* 1/2 (/ PI (+ a b))) (* 1/2 (/ PI (+ a b)))) (* 1/2 (/ PI (+ a b)))) (* (cbrt (* 1/2 (/ PI (+ a b)))) (cbrt (* 1/2 (/ PI (+ a b))))) (cbrt (* 1/2 (/ PI (+ a b)))) (* (* (* 1/2 (/ PI (+ a b))) (* 1/2 (/ PI (+ a b)))) (* 1/2 (/ PI (+ a b)))) (sqrt (* 1/2 (/ PI (+ a b)))) (sqrt (* 1/2 (/ PI (+ a b)))) -1 (/ -2 (/ PI (+ a b))) (/ 1 (* (cbrt (* (+ a b) (/ 2 PI))) (cbrt (* (+ a b) (/ 2 PI))))) (/ 1 (cbrt (* (+ a b) (/ 2 PI)))) (/ 1 (sqrt (* (+ a b) (/ 2 PI)))) (/ 1 (sqrt (* (+ a b) (/ 2 PI)))) (* (/ (cbrt PI) (+ a b)) (cbrt PI)) (* (cbrt PI) 1/2) (/ (sqrt PI) (+ a b)) (* (sqrt PI) 1/2) (/ 1 (+ a b)) (* 1/2 PI) 1 (* 1/2 (/ PI (+ a b))) (/ 1/2 (+ a b)) PI (/ 1 (* (cbrt (* (+ a b) (/ 2 PI))) (cbrt (* (+ a b) (/ 2 PI))))) (/ 1 (cbrt (* (+ a b) (/ 2 PI)))) (/ 1 (sqrt (* (+ a b) (/ 2 PI)))) (/ 1 (sqrt (* (+ a b) (/ 2 PI)))) (* (/ (cbrt PI) (+ a b)) (cbrt PI)) (* (cbrt PI) 1/2) (/ (sqrt PI) (+ a b)) (* (sqrt PI) 1/2) (/ 1 (+ a b)) (* 1/2 PI) 1 (* 1/2 (/ PI (+ a b))) (/ 1/2 (+ a b)) PI (/ 1 (* (cbrt (* (+ a b) (/ 2 PI))) (cbrt (* (+ a b) (/ 2 PI))))) (/ 1 (cbrt (* (+ a b) (/ 2 PI)))) (/ 1 (sqrt (* (+ a b) (/ 2 PI)))) (/ 1 (sqrt (* (+ a b) (/ 2 PI)))) (* (/ (cbrt PI) (+ a b)) (cbrt PI)) (* (cbrt PI) 1/2) (/ (sqrt PI) (+ a b)) (* (sqrt PI) 1/2) (/ 1 (+ a b)) (* 1/2 PI) 1 (* 1/2 (/ PI (+ a b))) (/ 1/2 (+ a b)) PI (* 1/2 (/ PI (+ a b))) (* (+ a b) (/ 2 PI)) (/ 1 (* (cbrt (* (+ a b) (/ 2 PI))) (cbrt (* (+ a b) (/ 2 PI))))) (/ 1 (sqrt (* (+ a b) (/ 2 PI)))) (* (/ (cbrt PI) (+ a b)) (cbrt PI)) (/ (sqrt PI) (+ a b)) (/ 1 (+ a b)) 1 (/ 1/2 (+ a b)) (* (+ a b) (/ 2 PI)) (* (+ a b) (/ 2 PI)) (* (+ a b) (/ 2 PI)) (/ 1/2 (+ a b)) (expm1 (* 1/2 (/ PI (+ a b)))) (log1p (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (log (* 1/2 (/ PI (+ a b)))) (sqrt (exp (/ PI (+ a b)))) (* (* (* 1/2 (/ PI (+ a b))) (* 1/2 (/ PI (+ a b)))) (* 1/2 (/ PI (+ a b)))) (* (* (* 1/2 (/ PI (+ a b))) (* 1/2 (/ PI (+ a b)))) (* 1/2 (/ PI (+ a b)))) (* (cbrt (* 1/2 (/ PI (+ a b)))) (cbrt (* 1/2 (/ PI (+ a b))))) (cbrt (* 1/2 (/ PI (+ a b)))) (* (* (* 1/2 (/ PI (+ a b))) (* 1/2 (/ PI (+ a b)))) (* 1/2 (/ PI (+ a b)))) (sqrt (* 1/2 (/ PI (+ a b)))) (sqrt (* 1/2 (/ PI (+ a b)))) (- PI) (* (+ a b) -2) (* (/ (cbrt PI) (+ a b)) (cbrt PI)) (* (cbrt PI) 1/2) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 2) (/ 1 (+ a b)) (/ PI 2) (/ 1/2 (+ a b)) (* (+ a b) (/ 2 PI)) (/ PI (+ a b)) (/ (+ a b) (* (cbrt PI) 1/2)) (/ (+ a b) (/ (sqrt PI) 2)) (* (+ a b) (/ 2 PI)) (/ (* 1/2 PI) (fma (* a a) a (* b (* b b)))) (* 1/2 (/ PI (* (- a b) (+ a b)))) (expm1 (* (+ a b) (/ 2 PI))) (log1p (* (+ a b) (/ 2 PI))) (log (* (+ a b) (/ 2 PI))) (log (* (+ a b) (/ 2 PI))) (log (* (+ a b) (/ 2 PI))) (* (exp (/ (+ a b) PI)) (exp (/ (+ a b) PI))) (* (* (* (/ (+ a b) PI) (/ (+ a b) PI)) (/ (+ a b) PI)) 8) (* (* (* (/ (+ a b) PI) (/ (+ a b) PI)) (/ (+ a b) PI)) 8) (* (cbrt (* (+ a b) (/ 2 PI))) (cbrt (* (+ a b) (/ 2 PI)))) (cbrt (* (+ a b) (/ 2 PI))) (* (* (+ a b) (/ 2 PI)) (* (* (+ a b) (/ 2 PI)) (* (+ a b) (/ 2 PI)))) (sqrt (* (+ a b) (/ 2 PI))) (sqrt (* (+ a b) (/ 2 PI))) (* (+ a b) -2) (- PI) (/ (/ (+ a b) (cbrt PI)) (cbrt PI)) (/ 2 (cbrt PI)) (/ (+ a b) (sqrt PI)) (/ 2 (sqrt PI)) (+ a b) (/ 2 PI) (/ 1 PI) (* 1/2 (/ PI (+ a b))) (* (/ (/ (+ a b) (cbrt PI)) (cbrt PI)) 2) (/ (+ a b) (/ (sqrt PI) 2)) (* 2 (+ a b)) (/ PI 2) (* PI (fma b (- b a) (* a a))) (* PI (- a b)) (expm1 (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI))) (log1p (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI))) (/ (* (/ PI (+ a b)) -1/2) b) (log (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI))) (exp (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI))) (* (cbrt (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI))) (cbrt (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI)))) (cbrt (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI))) (* (* (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI)) (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI))) (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI))) (sqrt (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI))) (sqrt (+ (/ (* (/ PI (+ a b)) -1/2) b) (* (/ (/ 1/2 (+ a b)) a) PI))) 0 0 0 0 0 0 (* 2 (+ (/ a PI) (/ b PI))) (* 2 (+ (/ a PI) (/ b PI))) (* 2 (+ (/ a PI) (/ b PI))) (* (/ 1/2 a) (/ PI b)) (* (/ PI a) (/ -1/2 b)) (* (/ PI a) (/ -1/2 b)) 43.257 * * * [progress]: adding candidates to table 44.609 * * [progress]: iteration 4 / 4 44.609 * * * [progress]: picking best candidate 44.628 * * * * [pick]: Picked # 44.628 * * * [progress]: localizing error 44.689 * * * [progress]: generating rewritten candidates 44.689 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 3) 44.750 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 44.759 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 44.759 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 3 2) 44.783 * * * [progress]: generating series expansions 44.783 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 3) 44.783 * [backup-simplify]: Simplify (* PI (/ (/ 1 (* (+ a b) 2)) a)) into (* 1/2 (/ PI (* a (+ a b)))) 44.783 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in (a b) around 0 44.783 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 44.783 * [taylor]: Taking taylor expansion of 1/2 in b 44.783 * [backup-simplify]: Simplify 1/2 into 1/2 44.783 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 44.783 * [taylor]: Taking taylor expansion of PI in b 44.783 * [backup-simplify]: Simplify PI into PI 44.783 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 44.783 * [taylor]: Taking taylor expansion of a in b 44.783 * [backup-simplify]: Simplify a into a 44.783 * [taylor]: Taking taylor expansion of (+ a b) in b 44.783 * [taylor]: Taking taylor expansion of a in b 44.786 * [backup-simplify]: Simplify a into a 44.786 * [taylor]: Taking taylor expansion of b in b 44.786 * [backup-simplify]: Simplify 0 into 0 44.786 * [backup-simplify]: Simplify 1 into 1 44.786 * [backup-simplify]: Simplify (+ a 0) into a 44.786 * [backup-simplify]: Simplify (* a a) into (pow a 2) 44.786 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 44.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 44.786 * [taylor]: Taking taylor expansion of 1/2 in a 44.786 * [backup-simplify]: Simplify 1/2 into 1/2 44.786 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 44.786 * [taylor]: Taking taylor expansion of PI in a 44.786 * [backup-simplify]: Simplify PI into PI 44.786 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 44.786 * [taylor]: Taking taylor expansion of a in a 44.786 * [backup-simplify]: Simplify 0 into 0 44.786 * [backup-simplify]: Simplify 1 into 1 44.786 * [taylor]: Taking taylor expansion of (+ a b) in a 44.786 * [taylor]: Taking taylor expansion of a in a 44.786 * [backup-simplify]: Simplify 0 into 0 44.786 * [backup-simplify]: Simplify 1 into 1 44.786 * [taylor]: Taking taylor expansion of b in a 44.786 * [backup-simplify]: Simplify b into b 44.786 * [backup-simplify]: Simplify (+ 0 b) into b 44.786 * [backup-simplify]: Simplify (* 0 b) into 0 44.787 * [backup-simplify]: Simplify (+ 1 0) into 1 44.787 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 44.787 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.787 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 44.787 * [taylor]: Taking taylor expansion of 1/2 in a 44.787 * [backup-simplify]: Simplify 1/2 into 1/2 44.787 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 44.787 * [taylor]: Taking taylor expansion of PI in a 44.787 * [backup-simplify]: Simplify PI into PI 44.787 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 44.787 * [taylor]: Taking taylor expansion of a in a 44.787 * [backup-simplify]: Simplify 0 into 0 44.787 * [backup-simplify]: Simplify 1 into 1 44.787 * [taylor]: Taking taylor expansion of (+ a b) in a 44.787 * [taylor]: Taking taylor expansion of a in a 44.787 * [backup-simplify]: Simplify 0 into 0 44.787 * [backup-simplify]: Simplify 1 into 1 44.787 * [taylor]: Taking taylor expansion of b in a 44.787 * [backup-simplify]: Simplify b into b 44.787 * [backup-simplify]: Simplify (+ 0 b) into b 44.787 * [backup-simplify]: Simplify (* 0 b) into 0 44.788 * [backup-simplify]: Simplify (+ 1 0) into 1 44.788 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 44.788 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.788 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 44.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.788 * [taylor]: Taking taylor expansion of 1/2 in b 44.788 * [backup-simplify]: Simplify 1/2 into 1/2 44.788 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.788 * [taylor]: Taking taylor expansion of PI in b 44.788 * [backup-simplify]: Simplify PI into PI 44.788 * [taylor]: Taking taylor expansion of b in b 44.788 * [backup-simplify]: Simplify 0 into 0 44.788 * [backup-simplify]: Simplify 1 into 1 44.789 * [backup-simplify]: Simplify (/ PI 1) into PI 44.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.790 * [backup-simplify]: Simplify 0 into 0 44.790 * [backup-simplify]: Simplify (+ 0 0) into 0 44.791 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 44.791 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 44.791 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 44.791 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 44.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.791 * [taylor]: Taking taylor expansion of 1/2 in b 44.791 * [backup-simplify]: Simplify 1/2 into 1/2 44.791 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.791 * [taylor]: Taking taylor expansion of PI in b 44.791 * [backup-simplify]: Simplify PI into PI 44.791 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.791 * [taylor]: Taking taylor expansion of b in b 44.791 * [backup-simplify]: Simplify 0 into 0 44.791 * [backup-simplify]: Simplify 1 into 1 44.791 * [backup-simplify]: Simplify (* 1 1) into 1 44.793 * [backup-simplify]: Simplify (/ PI 1) into PI 44.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.796 * [backup-simplify]: Simplify (- 0) into 0 44.796 * [backup-simplify]: Simplify 0 into 0 44.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.798 * [backup-simplify]: Simplify 0 into 0 44.798 * [backup-simplify]: Simplify (+ 0 0) into 0 44.799 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 44.799 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 44.799 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 44.799 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 44.799 * [taylor]: Taking taylor expansion of 1/2 in b 44.799 * [backup-simplify]: Simplify 1/2 into 1/2 44.799 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 44.799 * [taylor]: Taking taylor expansion of PI in b 44.799 * [backup-simplify]: Simplify PI into PI 44.799 * [taylor]: Taking taylor expansion of (pow b 3) in b 44.799 * [taylor]: Taking taylor expansion of b in b 44.799 * [backup-simplify]: Simplify 0 into 0 44.799 * [backup-simplify]: Simplify 1 into 1 44.799 * [backup-simplify]: Simplify (* 1 1) into 1 44.800 * [backup-simplify]: Simplify (* 1 1) into 1 44.800 * [backup-simplify]: Simplify (/ PI 1) into PI 44.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.803 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.806 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.806 * [backup-simplify]: Simplify 0 into 0 44.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.808 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.808 * [backup-simplify]: Simplify (- 0) into 0 44.808 * [backup-simplify]: Simplify 0 into 0 44.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.809 * [backup-simplify]: Simplify 0 into 0 44.809 * [backup-simplify]: Simplify 0 into 0 44.810 * [backup-simplify]: Simplify (* PI (/ (/ 1 (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 a))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 44.810 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 44.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 44.810 * [taylor]: Taking taylor expansion of 1/2 in b 44.810 * [backup-simplify]: Simplify 1/2 into 1/2 44.810 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 44.810 * [taylor]: Taking taylor expansion of (* a PI) in b 44.810 * [taylor]: Taking taylor expansion of a in b 44.810 * [backup-simplify]: Simplify a into a 44.810 * [taylor]: Taking taylor expansion of PI in b 44.810 * [backup-simplify]: Simplify PI into PI 44.810 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.810 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.810 * [taylor]: Taking taylor expansion of a in b 44.810 * [backup-simplify]: Simplify a into a 44.810 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.810 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.810 * [taylor]: Taking taylor expansion of b in b 44.810 * [backup-simplify]: Simplify 0 into 0 44.810 * [backup-simplify]: Simplify 1 into 1 44.810 * [backup-simplify]: Simplify (/ 1 1) into 1 44.810 * [backup-simplify]: Simplify (* a PI) into (* a PI) 44.810 * [backup-simplify]: Simplify (+ 0 1) into 1 44.810 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 44.811 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 44.811 * [taylor]: Taking taylor expansion of 1/2 in a 44.811 * [backup-simplify]: Simplify 1/2 into 1/2 44.811 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 44.811 * [taylor]: Taking taylor expansion of (* a PI) in a 44.811 * [taylor]: Taking taylor expansion of a in a 44.811 * [backup-simplify]: Simplify 0 into 0 44.811 * [backup-simplify]: Simplify 1 into 1 44.811 * [taylor]: Taking taylor expansion of PI in a 44.811 * [backup-simplify]: Simplify PI into PI 44.811 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.811 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.811 * [taylor]: Taking taylor expansion of a in a 44.811 * [backup-simplify]: Simplify 0 into 0 44.811 * [backup-simplify]: Simplify 1 into 1 44.811 * [backup-simplify]: Simplify (/ 1 1) into 1 44.811 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.811 * [taylor]: Taking taylor expansion of b in a 44.811 * [backup-simplify]: Simplify b into b 44.811 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.812 * [backup-simplify]: Simplify (* 0 PI) into 0 44.813 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.814 * [backup-simplify]: Simplify (+ 1 0) into 1 44.814 * [backup-simplify]: Simplify (/ PI 1) into PI 44.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 44.815 * [taylor]: Taking taylor expansion of 1/2 in a 44.815 * [backup-simplify]: Simplify 1/2 into 1/2 44.815 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 44.815 * [taylor]: Taking taylor expansion of (* a PI) in a 44.815 * [taylor]: Taking taylor expansion of a in a 44.815 * [backup-simplify]: Simplify 0 into 0 44.815 * [backup-simplify]: Simplify 1 into 1 44.815 * [taylor]: Taking taylor expansion of PI in a 44.815 * [backup-simplify]: Simplify PI into PI 44.815 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.815 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.815 * [taylor]: Taking taylor expansion of a in a 44.815 * [backup-simplify]: Simplify 0 into 0 44.815 * [backup-simplify]: Simplify 1 into 1 44.815 * [backup-simplify]: Simplify (/ 1 1) into 1 44.815 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.815 * [taylor]: Taking taylor expansion of b in a 44.815 * [backup-simplify]: Simplify b into b 44.815 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.816 * [backup-simplify]: Simplify (* 0 PI) into 0 44.818 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.818 * [backup-simplify]: Simplify (+ 1 0) into 1 44.818 * [backup-simplify]: Simplify (/ PI 1) into PI 44.819 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 44.819 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 44.819 * [taylor]: Taking taylor expansion of 1/2 in b 44.819 * [backup-simplify]: Simplify 1/2 into 1/2 44.820 * [taylor]: Taking taylor expansion of PI in b 44.820 * [backup-simplify]: Simplify PI into PI 44.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.820 * [backup-simplify]: Simplify 0 into 0 44.821 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 44.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.822 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 44.823 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 44.823 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 44.824 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.824 * [taylor]: Taking taylor expansion of 1/2 in b 44.824 * [backup-simplify]: Simplify 1/2 into 1/2 44.824 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.824 * [taylor]: Taking taylor expansion of PI in b 44.824 * [backup-simplify]: Simplify PI into PI 44.824 * [taylor]: Taking taylor expansion of b in b 44.824 * [backup-simplify]: Simplify 0 into 0 44.824 * [backup-simplify]: Simplify 1 into 1 44.824 * [backup-simplify]: Simplify (/ PI 1) into PI 44.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.828 * [backup-simplify]: Simplify (- 0) into 0 44.828 * [backup-simplify]: Simplify 0 into 0 44.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.829 * [backup-simplify]: Simplify 0 into 0 44.830 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 44.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.832 * [backup-simplify]: Simplify (+ 0 0) into 0 44.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 44.833 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 44.834 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.834 * [taylor]: Taking taylor expansion of 1/2 in b 44.834 * [backup-simplify]: Simplify 1/2 into 1/2 44.834 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.834 * [taylor]: Taking taylor expansion of PI in b 44.834 * [backup-simplify]: Simplify PI into PI 44.834 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.834 * [taylor]: Taking taylor expansion of b in b 44.834 * [backup-simplify]: Simplify 0 into 0 44.834 * [backup-simplify]: Simplify 1 into 1 44.834 * [backup-simplify]: Simplify (* 1 1) into 1 44.835 * [backup-simplify]: Simplify (/ PI 1) into PI 44.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.841 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.841 * [backup-simplify]: Simplify 0 into 0 44.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.843 * [backup-simplify]: Simplify (- 0) into 0 44.843 * [backup-simplify]: Simplify 0 into 0 44.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.843 * [backup-simplify]: Simplify 0 into 0 44.843 * [backup-simplify]: Simplify 0 into 0 44.844 * [backup-simplify]: Simplify (* PI (/ (/ 1 (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (- a)))) into (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) 44.844 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 44.844 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 44.844 * [taylor]: Taking taylor expansion of 1/2 in b 44.844 * [backup-simplify]: Simplify 1/2 into 1/2 44.844 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 44.844 * [taylor]: Taking taylor expansion of (* a PI) in b 44.844 * [taylor]: Taking taylor expansion of a in b 44.844 * [backup-simplify]: Simplify a into a 44.844 * [taylor]: Taking taylor expansion of PI in b 44.844 * [backup-simplify]: Simplify PI into PI 44.844 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.844 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.844 * [taylor]: Taking taylor expansion of a in b 44.844 * [backup-simplify]: Simplify a into a 44.844 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.844 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.844 * [taylor]: Taking taylor expansion of b in b 44.844 * [backup-simplify]: Simplify 0 into 0 44.844 * [backup-simplify]: Simplify 1 into 1 44.844 * [backup-simplify]: Simplify (/ 1 1) into 1 44.844 * [backup-simplify]: Simplify (* a PI) into (* a PI) 44.844 * [backup-simplify]: Simplify (+ 0 1) into 1 44.845 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 44.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 44.845 * [taylor]: Taking taylor expansion of 1/2 in a 44.845 * [backup-simplify]: Simplify 1/2 into 1/2 44.845 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 44.845 * [taylor]: Taking taylor expansion of (* a PI) in a 44.845 * [taylor]: Taking taylor expansion of a in a 44.845 * [backup-simplify]: Simplify 0 into 0 44.845 * [backup-simplify]: Simplify 1 into 1 44.845 * [taylor]: Taking taylor expansion of PI in a 44.845 * [backup-simplify]: Simplify PI into PI 44.845 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.845 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.845 * [taylor]: Taking taylor expansion of a in a 44.845 * [backup-simplify]: Simplify 0 into 0 44.845 * [backup-simplify]: Simplify 1 into 1 44.845 * [backup-simplify]: Simplify (/ 1 1) into 1 44.845 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.845 * [taylor]: Taking taylor expansion of b in a 44.845 * [backup-simplify]: Simplify b into b 44.845 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.845 * [backup-simplify]: Simplify (* 0 PI) into 0 44.846 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.847 * [backup-simplify]: Simplify (+ 1 0) into 1 44.847 * [backup-simplify]: Simplify (/ PI 1) into PI 44.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 44.847 * [taylor]: Taking taylor expansion of 1/2 in a 44.847 * [backup-simplify]: Simplify 1/2 into 1/2 44.847 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 44.847 * [taylor]: Taking taylor expansion of (* a PI) in a 44.847 * [taylor]: Taking taylor expansion of a in a 44.847 * [backup-simplify]: Simplify 0 into 0 44.847 * [backup-simplify]: Simplify 1 into 1 44.847 * [taylor]: Taking taylor expansion of PI in a 44.847 * [backup-simplify]: Simplify PI into PI 44.847 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.847 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.847 * [taylor]: Taking taylor expansion of a in a 44.847 * [backup-simplify]: Simplify 0 into 0 44.847 * [backup-simplify]: Simplify 1 into 1 44.848 * [backup-simplify]: Simplify (/ 1 1) into 1 44.848 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.848 * [taylor]: Taking taylor expansion of b in a 44.848 * [backup-simplify]: Simplify b into b 44.848 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.848 * [backup-simplify]: Simplify (* 0 PI) into 0 44.849 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.849 * [backup-simplify]: Simplify (+ 1 0) into 1 44.850 * [backup-simplify]: Simplify (/ PI 1) into PI 44.850 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 44.850 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 44.850 * [taylor]: Taking taylor expansion of 1/2 in b 44.850 * [backup-simplify]: Simplify 1/2 into 1/2 44.850 * [taylor]: Taking taylor expansion of PI in b 44.850 * [backup-simplify]: Simplify PI into PI 44.851 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.851 * [backup-simplify]: Simplify 0 into 0 44.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 44.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.852 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 44.853 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 44.853 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 44.853 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.853 * [taylor]: Taking taylor expansion of 1/2 in b 44.853 * [backup-simplify]: Simplify 1/2 into 1/2 44.853 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.853 * [taylor]: Taking taylor expansion of PI in b 44.853 * [backup-simplify]: Simplify PI into PI 44.853 * [taylor]: Taking taylor expansion of b in b 44.853 * [backup-simplify]: Simplify 0 into 0 44.853 * [backup-simplify]: Simplify 1 into 1 44.853 * [backup-simplify]: Simplify (/ PI 1) into PI 44.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.855 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.855 * [backup-simplify]: Simplify (- 0) into 0 44.855 * [backup-simplify]: Simplify 0 into 0 44.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.856 * [backup-simplify]: Simplify 0 into 0 44.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 44.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.857 * [backup-simplify]: Simplify (+ 0 0) into 0 44.858 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 44.859 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 44.859 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.859 * [taylor]: Taking taylor expansion of 1/2 in b 44.859 * [backup-simplify]: Simplify 1/2 into 1/2 44.859 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.859 * [taylor]: Taking taylor expansion of PI in b 44.859 * [backup-simplify]: Simplify PI into PI 44.859 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.859 * [taylor]: Taking taylor expansion of b in b 44.859 * [backup-simplify]: Simplify 0 into 0 44.859 * [backup-simplify]: Simplify 1 into 1 44.859 * [backup-simplify]: Simplify (* 1 1) into 1 44.859 * [backup-simplify]: Simplify (/ PI 1) into PI 44.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.863 * [backup-simplify]: Simplify 0 into 0 44.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.865 * [backup-simplify]: Simplify (- 0) into 0 44.865 * [backup-simplify]: Simplify 0 into 0 44.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.866 * [backup-simplify]: Simplify 0 into 0 44.866 * [backup-simplify]: Simplify 0 into 0 44.866 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 44.866 * [backup-simplify]: Simplify (/ PI (* (+ a b) 2)) into (* 1/2 (/ PI (+ a b))) 44.866 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 44.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 44.866 * [taylor]: Taking taylor expansion of 1/2 in b 44.866 * [backup-simplify]: Simplify 1/2 into 1/2 44.866 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 44.866 * [taylor]: Taking taylor expansion of PI in b 44.866 * [backup-simplify]: Simplify PI into PI 44.866 * [taylor]: Taking taylor expansion of (+ a b) in b 44.866 * [taylor]: Taking taylor expansion of a in b 44.866 * [backup-simplify]: Simplify a into a 44.866 * [taylor]: Taking taylor expansion of b in b 44.866 * [backup-simplify]: Simplify 0 into 0 44.866 * [backup-simplify]: Simplify 1 into 1 44.866 * [backup-simplify]: Simplify (+ a 0) into a 44.866 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 44.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 44.866 * [taylor]: Taking taylor expansion of 1/2 in a 44.866 * [backup-simplify]: Simplify 1/2 into 1/2 44.866 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 44.866 * [taylor]: Taking taylor expansion of PI in a 44.866 * [backup-simplify]: Simplify PI into PI 44.866 * [taylor]: Taking taylor expansion of (+ a b) in a 44.866 * [taylor]: Taking taylor expansion of a in a 44.866 * [backup-simplify]: Simplify 0 into 0 44.866 * [backup-simplify]: Simplify 1 into 1 44.866 * [taylor]: Taking taylor expansion of b in a 44.866 * [backup-simplify]: Simplify b into b 44.867 * [backup-simplify]: Simplify (+ 0 b) into b 44.867 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 44.867 * [taylor]: Taking taylor expansion of 1/2 in a 44.867 * [backup-simplify]: Simplify 1/2 into 1/2 44.867 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 44.867 * [taylor]: Taking taylor expansion of PI in a 44.867 * [backup-simplify]: Simplify PI into PI 44.867 * [taylor]: Taking taylor expansion of (+ a b) in a 44.867 * [taylor]: Taking taylor expansion of a in a 44.867 * [backup-simplify]: Simplify 0 into 0 44.867 * [backup-simplify]: Simplify 1 into 1 44.867 * [taylor]: Taking taylor expansion of b in a 44.867 * [backup-simplify]: Simplify b into b 44.867 * [backup-simplify]: Simplify (+ 0 b) into b 44.867 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.867 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 44.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.867 * [taylor]: Taking taylor expansion of 1/2 in b 44.867 * [backup-simplify]: Simplify 1/2 into 1/2 44.867 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.867 * [taylor]: Taking taylor expansion of PI in b 44.867 * [backup-simplify]: Simplify PI into PI 44.867 * [taylor]: Taking taylor expansion of b in b 44.867 * [backup-simplify]: Simplify 0 into 0 44.867 * [backup-simplify]: Simplify 1 into 1 44.867 * [backup-simplify]: Simplify (/ PI 1) into PI 44.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.869 * [backup-simplify]: Simplify 0 into 0 44.869 * [backup-simplify]: Simplify (+ 1 0) into 1 44.869 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 44.869 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 44.869 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 44.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.869 * [taylor]: Taking taylor expansion of 1/2 in b 44.869 * [backup-simplify]: Simplify 1/2 into 1/2 44.869 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.869 * [taylor]: Taking taylor expansion of PI in b 44.869 * [backup-simplify]: Simplify PI into PI 44.869 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.869 * [taylor]: Taking taylor expansion of b in b 44.869 * [backup-simplify]: Simplify 0 into 0 44.869 * [backup-simplify]: Simplify 1 into 1 44.870 * [backup-simplify]: Simplify (* 1 1) into 1 44.870 * [backup-simplify]: Simplify (/ PI 1) into PI 44.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.874 * [backup-simplify]: Simplify (- 0) into 0 44.874 * [backup-simplify]: Simplify 0 into 0 44.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.875 * [backup-simplify]: Simplify 0 into 0 44.876 * [backup-simplify]: Simplify (+ 0 0) into 0 44.876 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 44.876 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 44.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 44.876 * [taylor]: Taking taylor expansion of 1/2 in b 44.876 * [backup-simplify]: Simplify 1/2 into 1/2 44.876 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 44.876 * [taylor]: Taking taylor expansion of PI in b 44.876 * [backup-simplify]: Simplify PI into PI 44.876 * [taylor]: Taking taylor expansion of (pow b 3) in b 44.876 * [taylor]: Taking taylor expansion of b in b 44.876 * [backup-simplify]: Simplify 0 into 0 44.876 * [backup-simplify]: Simplify 1 into 1 44.877 * [backup-simplify]: Simplify (* 1 1) into 1 44.877 * [backup-simplify]: Simplify (* 1 1) into 1 44.877 * [backup-simplify]: Simplify (/ PI 1) into PI 44.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.883 * [backup-simplify]: Simplify 0 into 0 44.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.886 * [backup-simplify]: Simplify (- 0) into 0 44.886 * [backup-simplify]: Simplify 0 into 0 44.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.887 * [backup-simplify]: Simplify 0 into 0 44.887 * [backup-simplify]: Simplify 0 into 0 44.887 * [backup-simplify]: Simplify (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 44.887 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 44.887 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 44.887 * [taylor]: Taking taylor expansion of 1/2 in b 44.887 * [backup-simplify]: Simplify 1/2 into 1/2 44.887 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 44.887 * [taylor]: Taking taylor expansion of PI in b 44.887 * [backup-simplify]: Simplify PI into PI 44.887 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.887 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.887 * [taylor]: Taking taylor expansion of a in b 44.887 * [backup-simplify]: Simplify a into a 44.887 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.887 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.887 * [taylor]: Taking taylor expansion of b in b 44.887 * [backup-simplify]: Simplify 0 into 0 44.887 * [backup-simplify]: Simplify 1 into 1 44.888 * [backup-simplify]: Simplify (/ 1 1) into 1 44.888 * [backup-simplify]: Simplify (+ 0 1) into 1 44.888 * [backup-simplify]: Simplify (/ PI 1) into PI 44.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.888 * [taylor]: Taking taylor expansion of 1/2 in a 44.888 * [backup-simplify]: Simplify 1/2 into 1/2 44.888 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.888 * [taylor]: Taking taylor expansion of PI in a 44.888 * [backup-simplify]: Simplify PI into PI 44.888 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.888 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.888 * [taylor]: Taking taylor expansion of a in a 44.888 * [backup-simplify]: Simplify 0 into 0 44.888 * [backup-simplify]: Simplify 1 into 1 44.889 * [backup-simplify]: Simplify (/ 1 1) into 1 44.889 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.889 * [taylor]: Taking taylor expansion of b in a 44.889 * [backup-simplify]: Simplify b into b 44.889 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.889 * [backup-simplify]: Simplify (+ 1 0) into 1 44.889 * [backup-simplify]: Simplify (/ PI 1) into PI 44.889 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.889 * [taylor]: Taking taylor expansion of 1/2 in a 44.889 * [backup-simplify]: Simplify 1/2 into 1/2 44.889 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.889 * [taylor]: Taking taylor expansion of PI in a 44.890 * [backup-simplify]: Simplify PI into PI 44.890 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.890 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.890 * [taylor]: Taking taylor expansion of a in a 44.890 * [backup-simplify]: Simplify 0 into 0 44.890 * [backup-simplify]: Simplify 1 into 1 44.890 * [backup-simplify]: Simplify (/ 1 1) into 1 44.890 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.890 * [taylor]: Taking taylor expansion of b in a 44.890 * [backup-simplify]: Simplify b into b 44.890 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.890 * [backup-simplify]: Simplify (+ 1 0) into 1 44.891 * [backup-simplify]: Simplify (/ PI 1) into PI 44.895 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 44.895 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 44.895 * [taylor]: Taking taylor expansion of 1/2 in b 44.895 * [backup-simplify]: Simplify 1/2 into 1/2 44.895 * [taylor]: Taking taylor expansion of PI in b 44.895 * [backup-simplify]: Simplify PI into PI 44.896 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.896 * [backup-simplify]: Simplify 0 into 0 44.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.897 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 44.897 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 44.897 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 44.897 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.897 * [taylor]: Taking taylor expansion of 1/2 in b 44.897 * [backup-simplify]: Simplify 1/2 into 1/2 44.897 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.897 * [taylor]: Taking taylor expansion of PI in b 44.897 * [backup-simplify]: Simplify PI into PI 44.897 * [taylor]: Taking taylor expansion of b in b 44.897 * [backup-simplify]: Simplify 0 into 0 44.897 * [backup-simplify]: Simplify 1 into 1 44.898 * [backup-simplify]: Simplify (/ PI 1) into PI 44.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.900 * [backup-simplify]: Simplify (- 0) into 0 44.900 * [backup-simplify]: Simplify 0 into 0 44.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.900 * [backup-simplify]: Simplify 0 into 0 44.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.901 * [backup-simplify]: Simplify (+ 0 0) into 0 44.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 44.903 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 44.903 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.903 * [taylor]: Taking taylor expansion of 1/2 in b 44.903 * [backup-simplify]: Simplify 1/2 into 1/2 44.903 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.903 * [taylor]: Taking taylor expansion of PI in b 44.903 * [backup-simplify]: Simplify PI into PI 44.903 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.903 * [taylor]: Taking taylor expansion of b in b 44.903 * [backup-simplify]: Simplify 0 into 0 44.903 * [backup-simplify]: Simplify 1 into 1 44.903 * [backup-simplify]: Simplify (* 1 1) into 1 44.903 * [backup-simplify]: Simplify (/ PI 1) into PI 44.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.907 * [backup-simplify]: Simplify 0 into 0 44.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.909 * [backup-simplify]: Simplify (- 0) into 0 44.909 * [backup-simplify]: Simplify 0 into 0 44.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.910 * [backup-simplify]: Simplify 0 into 0 44.910 * [backup-simplify]: Simplify 0 into 0 44.910 * [backup-simplify]: Simplify (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 44.910 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 44.910 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 44.910 * [taylor]: Taking taylor expansion of -1/2 in b 44.910 * [backup-simplify]: Simplify -1/2 into -1/2 44.910 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 44.910 * [taylor]: Taking taylor expansion of PI in b 44.910 * [backup-simplify]: Simplify PI into PI 44.910 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.910 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.910 * [taylor]: Taking taylor expansion of a in b 44.910 * [backup-simplify]: Simplify a into a 44.910 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.910 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.910 * [taylor]: Taking taylor expansion of b in b 44.910 * [backup-simplify]: Simplify 0 into 0 44.910 * [backup-simplify]: Simplify 1 into 1 44.910 * [backup-simplify]: Simplify (/ 1 1) into 1 44.911 * [backup-simplify]: Simplify (+ 0 1) into 1 44.911 * [backup-simplify]: Simplify (/ PI 1) into PI 44.911 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.911 * [taylor]: Taking taylor expansion of -1/2 in a 44.911 * [backup-simplify]: Simplify -1/2 into -1/2 44.911 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.911 * [taylor]: Taking taylor expansion of PI in a 44.911 * [backup-simplify]: Simplify PI into PI 44.911 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.911 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.911 * [taylor]: Taking taylor expansion of a in a 44.911 * [backup-simplify]: Simplify 0 into 0 44.911 * [backup-simplify]: Simplify 1 into 1 44.911 * [backup-simplify]: Simplify (/ 1 1) into 1 44.911 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.912 * [taylor]: Taking taylor expansion of b in a 44.912 * [backup-simplify]: Simplify b into b 44.912 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.912 * [backup-simplify]: Simplify (+ 1 0) into 1 44.912 * [backup-simplify]: Simplify (/ PI 1) into PI 44.912 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.912 * [taylor]: Taking taylor expansion of -1/2 in a 44.912 * [backup-simplify]: Simplify -1/2 into -1/2 44.912 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.912 * [taylor]: Taking taylor expansion of PI in a 44.912 * [backup-simplify]: Simplify PI into PI 44.912 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.912 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.912 * [taylor]: Taking taylor expansion of a in a 44.912 * [backup-simplify]: Simplify 0 into 0 44.912 * [backup-simplify]: Simplify 1 into 1 44.913 * [backup-simplify]: Simplify (/ 1 1) into 1 44.913 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.913 * [taylor]: Taking taylor expansion of b in a 44.913 * [backup-simplify]: Simplify b into b 44.913 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.913 * [backup-simplify]: Simplify (+ 1 0) into 1 44.913 * [backup-simplify]: Simplify (/ PI 1) into PI 44.914 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 44.914 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 44.914 * [taylor]: Taking taylor expansion of -1/2 in b 44.914 * [backup-simplify]: Simplify -1/2 into -1/2 44.914 * [taylor]: Taking taylor expansion of PI in b 44.914 * [backup-simplify]: Simplify PI into PI 44.914 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 44.914 * [backup-simplify]: Simplify 0 into 0 44.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.915 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 44.915 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 44.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.915 * [taylor]: Taking taylor expansion of 1/2 in b 44.916 * [backup-simplify]: Simplify 1/2 into 1/2 44.916 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.916 * [taylor]: Taking taylor expansion of PI in b 44.916 * [backup-simplify]: Simplify PI into PI 44.916 * [taylor]: Taking taylor expansion of b in b 44.916 * [backup-simplify]: Simplify 0 into 0 44.916 * [backup-simplify]: Simplify 1 into 1 44.916 * [backup-simplify]: Simplify (/ PI 1) into PI 44.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.918 * [backup-simplify]: Simplify 0 into 0 44.918 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.919 * [backup-simplify]: Simplify 0 into 0 44.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.920 * [backup-simplify]: Simplify (+ 0 0) into 0 44.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 44.921 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 44.921 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 44.921 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.921 * [taylor]: Taking taylor expansion of 1/2 in b 44.921 * [backup-simplify]: Simplify 1/2 into 1/2 44.921 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.921 * [taylor]: Taking taylor expansion of PI in b 44.921 * [backup-simplify]: Simplify PI into PI 44.921 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.921 * [taylor]: Taking taylor expansion of b in b 44.921 * [backup-simplify]: Simplify 0 into 0 44.921 * [backup-simplify]: Simplify 1 into 1 44.922 * [backup-simplify]: Simplify (* 1 1) into 1 44.922 * [backup-simplify]: Simplify (/ PI 1) into PI 44.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.926 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.926 * [backup-simplify]: Simplify (- 0) into 0 44.926 * [backup-simplify]: Simplify 0 into 0 44.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.928 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.928 * [backup-simplify]: Simplify 0 into 0 44.928 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.928 * [backup-simplify]: Simplify 0 into 0 44.928 * [backup-simplify]: Simplify 0 into 0 44.929 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 44.929 * [backup-simplify]: Simplify (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a))) into (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) 44.929 * [approximate]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in (a b) around 0 44.929 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in b 44.929 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 44.929 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in b 44.929 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 44.929 * [taylor]: Taking taylor expansion of 1/2 in b 44.929 * [backup-simplify]: Simplify 1/2 into 1/2 44.929 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 44.929 * [taylor]: Taking taylor expansion of PI in b 44.929 * [backup-simplify]: Simplify PI into PI 44.929 * [taylor]: Taking taylor expansion of (+ a b) in b 44.929 * [taylor]: Taking taylor expansion of a in b 44.929 * [backup-simplify]: Simplify a into a 44.929 * [taylor]: Taking taylor expansion of b in b 44.929 * [backup-simplify]: Simplify 0 into 0 44.929 * [backup-simplify]: Simplify 1 into 1 44.929 * [backup-simplify]: Simplify (+ a 0) into a 44.929 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 44.929 * [taylor]: Taking taylor expansion of (/ -1 b) in b 44.929 * [taylor]: Taking taylor expansion of -1 in b 44.929 * [backup-simplify]: Simplify -1 into -1 44.929 * [taylor]: Taking taylor expansion of b in b 44.929 * [backup-simplify]: Simplify 0 into 0 44.929 * [backup-simplify]: Simplify 1 into 1 44.930 * [backup-simplify]: Simplify (/ -1 1) into -1 44.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in b 44.930 * [taylor]: Taking taylor expansion of 1/2 in b 44.930 * [backup-simplify]: Simplify 1/2 into 1/2 44.930 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in b 44.930 * [taylor]: Taking taylor expansion of PI in b 44.930 * [backup-simplify]: Simplify PI into PI 44.930 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 44.930 * [taylor]: Taking taylor expansion of a in b 44.930 * [backup-simplify]: Simplify a into a 44.930 * [taylor]: Taking taylor expansion of (+ a b) in b 44.930 * [taylor]: Taking taylor expansion of a in b 44.930 * [backup-simplify]: Simplify a into a 44.930 * [taylor]: Taking taylor expansion of b in b 44.930 * [backup-simplify]: Simplify 0 into 0 44.930 * [backup-simplify]: Simplify 1 into 1 44.930 * [backup-simplify]: Simplify (+ a 0) into a 44.930 * [backup-simplify]: Simplify (* a a) into (pow a 2) 44.930 * [backup-simplify]: Simplify (/ PI (pow a 2)) into (/ PI (pow a 2)) 44.930 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in a 44.930 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 44.930 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in a 44.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 44.930 * [taylor]: Taking taylor expansion of 1/2 in a 44.930 * [backup-simplify]: Simplify 1/2 into 1/2 44.930 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 44.930 * [taylor]: Taking taylor expansion of PI in a 44.930 * [backup-simplify]: Simplify PI into PI 44.930 * [taylor]: Taking taylor expansion of (+ a b) in a 44.930 * [taylor]: Taking taylor expansion of a in a 44.930 * [backup-simplify]: Simplify 0 into 0 44.930 * [backup-simplify]: Simplify 1 into 1 44.930 * [taylor]: Taking taylor expansion of b in a 44.930 * [backup-simplify]: Simplify b into b 44.930 * [backup-simplify]: Simplify (+ 0 b) into b 44.930 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.930 * [taylor]: Taking taylor expansion of (/ -1 b) in a 44.930 * [taylor]: Taking taylor expansion of -1 in a 44.930 * [backup-simplify]: Simplify -1 into -1 44.930 * [taylor]: Taking taylor expansion of b in a 44.930 * [backup-simplify]: Simplify b into b 44.931 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 44.931 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 44.931 * [taylor]: Taking taylor expansion of 1/2 in a 44.931 * [backup-simplify]: Simplify 1/2 into 1/2 44.931 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 44.931 * [taylor]: Taking taylor expansion of PI in a 44.931 * [backup-simplify]: Simplify PI into PI 44.931 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 44.931 * [taylor]: Taking taylor expansion of a in a 44.931 * [backup-simplify]: Simplify 0 into 0 44.931 * [backup-simplify]: Simplify 1 into 1 44.931 * [taylor]: Taking taylor expansion of (+ a b) in a 44.931 * [taylor]: Taking taylor expansion of a in a 44.931 * [backup-simplify]: Simplify 0 into 0 44.931 * [backup-simplify]: Simplify 1 into 1 44.931 * [taylor]: Taking taylor expansion of b in a 44.931 * [backup-simplify]: Simplify b into b 44.931 * [backup-simplify]: Simplify (+ 0 b) into b 44.931 * [backup-simplify]: Simplify (* 0 b) into 0 44.931 * [backup-simplify]: Simplify (+ 1 0) into 1 44.931 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 44.931 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.931 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ a b))) (/ -1 b) (* 1/2 (/ PI (* a (+ a b))))) in a 44.932 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) (* 1/2 (/ PI (* a (+ a b))))) 44.932 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ a b))) (/ -1 b)) in a 44.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 44.932 * [taylor]: Taking taylor expansion of 1/2 in a 44.932 * [backup-simplify]: Simplify 1/2 into 1/2 44.932 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 44.932 * [taylor]: Taking taylor expansion of PI in a 44.932 * [backup-simplify]: Simplify PI into PI 44.932 * [taylor]: Taking taylor expansion of (+ a b) in a 44.932 * [taylor]: Taking taylor expansion of a in a 44.932 * [backup-simplify]: Simplify 0 into 0 44.932 * [backup-simplify]: Simplify 1 into 1 44.932 * [taylor]: Taking taylor expansion of b in a 44.932 * [backup-simplify]: Simplify b into b 44.932 * [backup-simplify]: Simplify (+ 0 b) into b 44.932 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.932 * [taylor]: Taking taylor expansion of (/ -1 b) in a 44.932 * [taylor]: Taking taylor expansion of -1 in a 44.932 * [backup-simplify]: Simplify -1 into -1 44.932 * [taylor]: Taking taylor expansion of b in a 44.932 * [backup-simplify]: Simplify b into b 44.932 * [backup-simplify]: Simplify (/ -1 b) into (/ -1 b) 44.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (+ a b)))) in a 44.932 * [taylor]: Taking taylor expansion of 1/2 in a 44.932 * [backup-simplify]: Simplify 1/2 into 1/2 44.932 * [taylor]: Taking taylor expansion of (/ PI (* a (+ a b))) in a 44.932 * [taylor]: Taking taylor expansion of PI in a 44.932 * [backup-simplify]: Simplify PI into PI 44.932 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 44.932 * [taylor]: Taking taylor expansion of a in a 44.932 * [backup-simplify]: Simplify 0 into 0 44.932 * [backup-simplify]: Simplify 1 into 1 44.932 * [taylor]: Taking taylor expansion of (+ a b) in a 44.932 * [taylor]: Taking taylor expansion of a in a 44.932 * [backup-simplify]: Simplify 0 into 0 44.932 * [backup-simplify]: Simplify 1 into 1 44.932 * [taylor]: Taking taylor expansion of b in a 44.932 * [backup-simplify]: Simplify b into b 44.932 * [backup-simplify]: Simplify (+ 0 b) into b 44.932 * [backup-simplify]: Simplify (* 0 b) into 0 44.932 * [backup-simplify]: Simplify (+ 1 0) into 1 44.933 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 44.933 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.933 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 44.933 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ PI b))) into (* 1/2 (/ PI b)) 44.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.933 * [taylor]: Taking taylor expansion of 1/2 in b 44.933 * [backup-simplify]: Simplify 1/2 into 1/2 44.933 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.933 * [taylor]: Taking taylor expansion of PI in b 44.933 * [backup-simplify]: Simplify PI into PI 44.933 * [taylor]: Taking taylor expansion of b in b 44.933 * [backup-simplify]: Simplify 0 into 0 44.933 * [backup-simplify]: Simplify 1 into 1 44.933 * [backup-simplify]: Simplify (/ PI 1) into PI 44.934 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 44.934 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 44.934 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 44.934 * [backup-simplify]: Simplify (* (* 1/2 (/ PI b)) (/ -1 b)) into (* -1/2 (/ PI (pow b 2))) 44.934 * [backup-simplify]: Simplify (+ 0 0) into 0 44.935 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 44.935 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 44.935 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 44.935 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (- (* 1/2 (/ PI (pow b 2))))) into (- (/ PI (pow b 2))) 44.935 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 2))) in b 44.935 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.935 * [taylor]: Taking taylor expansion of PI in b 44.936 * [backup-simplify]: Simplify PI into PI 44.936 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.936 * [taylor]: Taking taylor expansion of b in b 44.936 * [backup-simplify]: Simplify 0 into 0 44.936 * [backup-simplify]: Simplify 1 into 1 44.936 * [backup-simplify]: Simplify (* 1 1) into 1 44.936 * [backup-simplify]: Simplify (/ PI 1) into PI 44.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.937 * [backup-simplify]: Simplify (- 0) into 0 44.937 * [backup-simplify]: Simplify 0 into 0 44.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.938 * [backup-simplify]: Simplify 0 into 0 44.938 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)))) into 0 44.939 * [backup-simplify]: Simplify (+ 1 0) into 1 44.939 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 44.939 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 44.939 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ PI b)) 0) (* (- (* 1/2 (/ PI (pow b 2)))) (/ -1 b))) into (* 1/2 (/ PI (pow b 3))) 44.940 * [backup-simplify]: Simplify (+ 0 0) into 0 44.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 44.940 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 44.941 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 44.941 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (* 1/2 (/ PI (pow b 3)))) into (/ PI (pow b 3)) 44.941 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 44.941 * [taylor]: Taking taylor expansion of PI in b 44.941 * [backup-simplify]: Simplify PI into PI 44.941 * [taylor]: Taking taylor expansion of (pow b 3) in b 44.941 * [taylor]: Taking taylor expansion of b in b 44.941 * [backup-simplify]: Simplify 0 into 0 44.941 * [backup-simplify]: Simplify 1 into 1 44.941 * [backup-simplify]: Simplify (* 1 1) into 1 44.941 * [backup-simplify]: Simplify (* 1 1) into 1 44.942 * [backup-simplify]: Simplify (/ PI 1) into PI 44.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.945 * [backup-simplify]: Simplify 0 into 0 44.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.947 * [backup-simplify]: Simplify (- 0) into 0 44.947 * [backup-simplify]: Simplify 0 into 0 44.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.948 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.948 * [backup-simplify]: Simplify 0 into 0 44.948 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ -1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 44.948 * [backup-simplify]: Simplify (+ 0 0) into 0 44.949 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 44.949 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 44.949 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) 0) (* (* 1/2 (/ PI (pow b 3))) (/ -1 b)))) into (- (* 1/2 (/ PI (pow b 4)))) 44.949 * [backup-simplify]: Simplify (+ 0 0) into 0 44.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 b))))) into 0 44.951 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) 44.952 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 4)))) (+ (* 0 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b))))) into (- (* 1/2 (/ PI (pow b 4)))) 44.952 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI (pow b 4)))) (- (* 1/2 (/ PI (pow b 4))))) into (- (/ PI (pow b 4))) 44.952 * [taylor]: Taking taylor expansion of (- (/ PI (pow b 4))) in b 44.952 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 44.952 * [taylor]: Taking taylor expansion of PI in b 44.952 * [backup-simplify]: Simplify PI into PI 44.952 * [taylor]: Taking taylor expansion of (pow b 4) in b 44.953 * [taylor]: Taking taylor expansion of b in b 44.953 * [backup-simplify]: Simplify 0 into 0 44.953 * [backup-simplify]: Simplify 1 into 1 44.953 * [backup-simplify]: Simplify (* 1 1) into 1 44.953 * [backup-simplify]: Simplify (* 1 1) into 1 44.954 * [backup-simplify]: Simplify (/ PI 1) into PI 44.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.962 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.963 * [backup-simplify]: Simplify (- 0) into 0 44.963 * [backup-simplify]: Simplify 0 into 0 44.963 * [backup-simplify]: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* a b))) 44.964 * [backup-simplify]: Simplify (fma (/ PI (* (+ (/ 1 a) (/ 1 b)) 2)) (/ -1 (/ 1 b)) (* PI (/ (/ 1 (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 a)))) into (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 44.964 * [approximate]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 44.964 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in b 44.964 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 44.964 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in b 44.964 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 44.964 * [taylor]: Taking taylor expansion of 1/2 in b 44.964 * [backup-simplify]: Simplify 1/2 into 1/2 44.964 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 44.964 * [taylor]: Taking taylor expansion of PI in b 44.964 * [backup-simplify]: Simplify PI into PI 44.964 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.964 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.964 * [taylor]: Taking taylor expansion of a in b 44.964 * [backup-simplify]: Simplify a into a 44.964 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.964 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.964 * [taylor]: Taking taylor expansion of b in b 44.964 * [backup-simplify]: Simplify 0 into 0 44.965 * [backup-simplify]: Simplify 1 into 1 44.965 * [backup-simplify]: Simplify (/ 1 1) into 1 44.965 * [backup-simplify]: Simplify (+ 0 1) into 1 44.966 * [backup-simplify]: Simplify (/ PI 1) into PI 44.966 * [taylor]: Taking taylor expansion of (* -1 b) in b 44.966 * [taylor]: Taking taylor expansion of -1 in b 44.966 * [backup-simplify]: Simplify -1 into -1 44.966 * [taylor]: Taking taylor expansion of b in b 44.966 * [backup-simplify]: Simplify 0 into 0 44.966 * [backup-simplify]: Simplify 1 into 1 44.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 44.966 * [taylor]: Taking taylor expansion of 1/2 in b 44.966 * [backup-simplify]: Simplify 1/2 into 1/2 44.966 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 44.966 * [taylor]: Taking taylor expansion of (* a PI) in b 44.966 * [taylor]: Taking taylor expansion of a in b 44.966 * [backup-simplify]: Simplify a into a 44.966 * [taylor]: Taking taylor expansion of PI in b 44.966 * [backup-simplify]: Simplify PI into PI 44.966 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.966 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.966 * [taylor]: Taking taylor expansion of a in b 44.966 * [backup-simplify]: Simplify a into a 44.966 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.966 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.966 * [taylor]: Taking taylor expansion of b in b 44.966 * [backup-simplify]: Simplify 0 into 0 44.967 * [backup-simplify]: Simplify 1 into 1 44.967 * [backup-simplify]: Simplify (/ 1 1) into 1 44.967 * [backup-simplify]: Simplify (* a PI) into (* a PI) 44.967 * [backup-simplify]: Simplify (+ 0 1) into 1 44.968 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 44.968 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 44.968 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 44.968 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in a 44.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.968 * [taylor]: Taking taylor expansion of 1/2 in a 44.968 * [backup-simplify]: Simplify 1/2 into 1/2 44.968 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.968 * [taylor]: Taking taylor expansion of PI in a 44.968 * [backup-simplify]: Simplify PI into PI 44.968 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.968 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.968 * [taylor]: Taking taylor expansion of a in a 44.968 * [backup-simplify]: Simplify 0 into 0 44.968 * [backup-simplify]: Simplify 1 into 1 44.968 * [backup-simplify]: Simplify (/ 1 1) into 1 44.968 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.968 * [taylor]: Taking taylor expansion of b in a 44.968 * [backup-simplify]: Simplify b into b 44.968 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.969 * [backup-simplify]: Simplify (+ 1 0) into 1 44.969 * [backup-simplify]: Simplify (/ PI 1) into PI 44.969 * [taylor]: Taking taylor expansion of (* -1 b) in a 44.969 * [taylor]: Taking taylor expansion of -1 in a 44.970 * [backup-simplify]: Simplify -1 into -1 44.970 * [taylor]: Taking taylor expansion of b in a 44.970 * [backup-simplify]: Simplify b into b 44.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 44.970 * [taylor]: Taking taylor expansion of 1/2 in a 44.970 * [backup-simplify]: Simplify 1/2 into 1/2 44.970 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 44.970 * [taylor]: Taking taylor expansion of (* a PI) in a 44.970 * [taylor]: Taking taylor expansion of a in a 44.970 * [backup-simplify]: Simplify 0 into 0 44.970 * [backup-simplify]: Simplify 1 into 1 44.970 * [taylor]: Taking taylor expansion of PI in a 44.970 * [backup-simplify]: Simplify PI into PI 44.970 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.970 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.970 * [taylor]: Taking taylor expansion of a in a 44.970 * [backup-simplify]: Simplify 0 into 0 44.970 * [backup-simplify]: Simplify 1 into 1 44.970 * [backup-simplify]: Simplify (/ 1 1) into 1 44.970 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.970 * [taylor]: Taking taylor expansion of b in a 44.970 * [backup-simplify]: Simplify b into b 44.970 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.971 * [backup-simplify]: Simplify (* 0 PI) into 0 44.972 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.973 * [backup-simplify]: Simplify (+ 1 0) into 1 44.973 * [backup-simplify]: Simplify (/ PI 1) into PI 44.973 * [taylor]: Taking taylor expansion of (fma (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 44.974 * [taylor]: Rewrote expression to (+ (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 44.974 * [taylor]: Taking taylor expansion of (* (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) (* -1 b)) in a 44.974 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.974 * [taylor]: Taking taylor expansion of 1/2 in a 44.974 * [backup-simplify]: Simplify 1/2 into 1/2 44.974 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.974 * [taylor]: Taking taylor expansion of PI in a 44.974 * [backup-simplify]: Simplify PI into PI 44.974 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.974 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.974 * [taylor]: Taking taylor expansion of a in a 44.974 * [backup-simplify]: Simplify 0 into 0 44.974 * [backup-simplify]: Simplify 1 into 1 44.974 * [backup-simplify]: Simplify (/ 1 1) into 1 44.974 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.974 * [taylor]: Taking taylor expansion of b in a 44.974 * [backup-simplify]: Simplify b into b 44.974 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.975 * [backup-simplify]: Simplify (+ 1 0) into 1 44.975 * [backup-simplify]: Simplify (/ PI 1) into PI 44.975 * [taylor]: Taking taylor expansion of (* -1 b) in a 44.975 * [taylor]: Taking taylor expansion of -1 in a 44.975 * [backup-simplify]: Simplify -1 into -1 44.975 * [taylor]: Taking taylor expansion of b in a 44.975 * [backup-simplify]: Simplify b into b 44.975 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 44.975 * [taylor]: Taking taylor expansion of 1/2 in a 44.975 * [backup-simplify]: Simplify 1/2 into 1/2 44.975 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 44.975 * [taylor]: Taking taylor expansion of (* a PI) in a 44.975 * [taylor]: Taking taylor expansion of a in a 44.975 * [backup-simplify]: Simplify 0 into 0 44.975 * [backup-simplify]: Simplify 1 into 1 44.975 * [taylor]: Taking taylor expansion of PI in a 44.975 * [backup-simplify]: Simplify PI into PI 44.975 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.975 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.975 * [taylor]: Taking taylor expansion of a in a 44.975 * [backup-simplify]: Simplify 0 into 0 44.975 * [backup-simplify]: Simplify 1 into 1 44.976 * [backup-simplify]: Simplify (/ 1 1) into 1 44.976 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.976 * [taylor]: Taking taylor expansion of b in a 44.976 * [backup-simplify]: Simplify b into b 44.976 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.976 * [backup-simplify]: Simplify (* 0 PI) into 0 44.977 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.977 * [backup-simplify]: Simplify (+ 1 0) into 1 44.978 * [backup-simplify]: Simplify (/ PI 1) into PI 44.978 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 44.978 * [backup-simplify]: Simplify (* -1 b) into (* -1 b) 44.978 * [backup-simplify]: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) 44.978 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 44.978 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI))) in b 44.978 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 44.978 * [taylor]: Taking taylor expansion of 1/2 in b 44.979 * [backup-simplify]: Simplify 1/2 into 1/2 44.979 * [taylor]: Taking taylor expansion of (* b PI) in b 44.979 * [taylor]: Taking taylor expansion of b in b 44.979 * [backup-simplify]: Simplify 0 into 0 44.979 * [backup-simplify]: Simplify 1 into 1 44.979 * [taylor]: Taking taylor expansion of PI in b 44.979 * [backup-simplify]: Simplify PI into PI 44.980 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.980 * [backup-simplify]: Simplify (* 0 PI) into 0 44.981 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 44.982 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 44.982 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 44.983 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 b)) into 0 44.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.983 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 44.984 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 44.984 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (* (- (* 1/2 (/ PI b))) (* -1 b))) into (* 1/2 PI) 44.985 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 44.986 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 1/2 PI)) into PI 44.986 * [taylor]: Taking taylor expansion of PI in b 44.986 * [backup-simplify]: Simplify PI into PI 44.986 * [backup-simplify]: Simplify 0 into 0 44.986 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 44.987 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 44.987 * [backup-simplify]: Simplify (- 0) into 0 44.987 * [backup-simplify]: Simplify 0 into 0 44.988 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 b))) into 0 44.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.989 * [backup-simplify]: Simplify (+ 0 0) into 0 44.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 44.990 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 44.990 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 0) (* (* 1/2 (/ PI (pow b 2))) (* -1 b)))) into (- (* 1/2 (/ PI b))) 44.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 44.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.992 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 44.992 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 44.992 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI b))) (- (* 1/2 (/ PI b)))) into (- (/ PI b)) 44.992 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 44.992 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.992 * [taylor]: Taking taylor expansion of PI in b 44.992 * [backup-simplify]: Simplify PI into PI 44.992 * [taylor]: Taking taylor expansion of b in b 44.992 * [backup-simplify]: Simplify 0 into 0 44.993 * [backup-simplify]: Simplify 1 into 1 44.993 * [backup-simplify]: Simplify (/ PI 1) into PI 44.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.994 * [backup-simplify]: Simplify (- 0) into 0 44.994 * [backup-simplify]: Simplify 0 into 0 44.994 * [backup-simplify]: Simplify 0 into 0 44.999 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 45.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 45.000 * [backup-simplify]: Simplify (- 0) into 0 45.000 * [backup-simplify]: Simplify 0 into 0 45.001 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 45.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 45.002 * [backup-simplify]: Simplify (+ 0 0) into 0 45.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ 0 1)) (* (/ PI (pow b 2)) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 3))) 45.004 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 3)))) (+ (* 0 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI)))) into (- (* 1/2 (/ PI (pow b 3)))) 45.005 * [backup-simplify]: Simplify (+ (* (* 1/2 PI) 0) (+ (* (- (* 1/2 (/ PI b))) 0) (+ (* (* 1/2 (/ PI (pow b 2))) 0) (* (- (* 1/2 (/ PI (pow b 3)))) (* -1 b))))) into (* 1/2 (/ PI (pow b 2))) 45.006 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 45.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 45.008 * [backup-simplify]: Simplify (+ 0 0) into 0 45.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 45.010 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 45.010 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (* 1/2 (/ PI (pow b 2)))) into (/ PI (pow b 2)) 45.010 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 45.010 * [taylor]: Taking taylor expansion of PI in b 45.010 * [backup-simplify]: Simplify PI into PI 45.010 * [taylor]: Taking taylor expansion of (pow b 2) in b 45.010 * [taylor]: Taking taylor expansion of b in b 45.010 * [backup-simplify]: Simplify 0 into 0 45.010 * [backup-simplify]: Simplify 1 into 1 45.011 * [backup-simplify]: Simplify (* 1 1) into 1 45.011 * [backup-simplify]: Simplify (/ PI 1) into PI 45.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 45.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 45.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 45.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.017 * [backup-simplify]: Simplify 0 into 0 45.018 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* a b))) 45.019 * [backup-simplify]: Simplify (fma (/ PI (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ -1 (/ 1 (- b))) (* PI (/ (/ 1 (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (- a))))) into (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 45.019 * [approximate]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in (a b) around 0 45.019 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in b 45.019 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 45.019 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in b 45.019 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 45.019 * [taylor]: Taking taylor expansion of -1/2 in b 45.019 * [backup-simplify]: Simplify -1/2 into -1/2 45.019 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 45.019 * [taylor]: Taking taylor expansion of PI in b 45.019 * [backup-simplify]: Simplify PI into PI 45.019 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 45.019 * [taylor]: Taking taylor expansion of (/ 1 a) in b 45.019 * [taylor]: Taking taylor expansion of a in b 45.019 * [backup-simplify]: Simplify a into a 45.019 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 45.019 * [taylor]: Taking taylor expansion of (/ 1 b) in b 45.019 * [taylor]: Taking taylor expansion of b in b 45.019 * [backup-simplify]: Simplify 0 into 0 45.019 * [backup-simplify]: Simplify 1 into 1 45.020 * [backup-simplify]: Simplify (/ 1 1) into 1 45.020 * [backup-simplify]: Simplify (+ 0 1) into 1 45.021 * [backup-simplify]: Simplify (/ PI 1) into PI 45.021 * [taylor]: Taking taylor expansion of b in b 45.021 * [backup-simplify]: Simplify 0 into 0 45.021 * [backup-simplify]: Simplify 1 into 1 45.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in b 45.021 * [taylor]: Taking taylor expansion of 1/2 in b 45.021 * [backup-simplify]: Simplify 1/2 into 1/2 45.021 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in b 45.021 * [taylor]: Taking taylor expansion of (* a PI) in b 45.021 * [taylor]: Taking taylor expansion of a in b 45.021 * [backup-simplify]: Simplify a into a 45.021 * [taylor]: Taking taylor expansion of PI in b 45.021 * [backup-simplify]: Simplify PI into PI 45.021 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 45.021 * [taylor]: Taking taylor expansion of (/ 1 a) in b 45.021 * [taylor]: Taking taylor expansion of a in b 45.021 * [backup-simplify]: Simplify a into a 45.021 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 45.021 * [taylor]: Taking taylor expansion of (/ 1 b) in b 45.021 * [taylor]: Taking taylor expansion of b in b 45.021 * [backup-simplify]: Simplify 0 into 0 45.021 * [backup-simplify]: Simplify 1 into 1 45.021 * [backup-simplify]: Simplify (/ 1 1) into 1 45.021 * [backup-simplify]: Simplify (* a PI) into (* a PI) 45.022 * [backup-simplify]: Simplify (+ 0 1) into 1 45.022 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 45.022 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 45.022 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 45.022 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in a 45.022 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 45.022 * [taylor]: Taking taylor expansion of -1/2 in a 45.022 * [backup-simplify]: Simplify -1/2 into -1/2 45.022 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 45.022 * [taylor]: Taking taylor expansion of PI in a 45.022 * [backup-simplify]: Simplify PI into PI 45.022 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 45.022 * [taylor]: Taking taylor expansion of (/ 1 a) in a 45.022 * [taylor]: Taking taylor expansion of a in a 45.022 * [backup-simplify]: Simplify 0 into 0 45.022 * [backup-simplify]: Simplify 1 into 1 45.023 * [backup-simplify]: Simplify (/ 1 1) into 1 45.023 * [taylor]: Taking taylor expansion of (/ 1 b) in a 45.023 * [taylor]: Taking taylor expansion of b in a 45.023 * [backup-simplify]: Simplify b into b 45.023 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 45.023 * [backup-simplify]: Simplify (+ 1 0) into 1 45.024 * [backup-simplify]: Simplify (/ PI 1) into PI 45.024 * [taylor]: Taking taylor expansion of b in a 45.024 * [backup-simplify]: Simplify b into b 45.024 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 45.024 * [taylor]: Taking taylor expansion of 1/2 in a 45.024 * [backup-simplify]: Simplify 1/2 into 1/2 45.024 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 45.024 * [taylor]: Taking taylor expansion of (* a PI) in a 45.024 * [taylor]: Taking taylor expansion of a in a 45.024 * [backup-simplify]: Simplify 0 into 0 45.024 * [backup-simplify]: Simplify 1 into 1 45.024 * [taylor]: Taking taylor expansion of PI in a 45.024 * [backup-simplify]: Simplify PI into PI 45.024 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 45.024 * [taylor]: Taking taylor expansion of (/ 1 a) in a 45.024 * [taylor]: Taking taylor expansion of a in a 45.024 * [backup-simplify]: Simplify 0 into 0 45.024 * [backup-simplify]: Simplify 1 into 1 45.024 * [backup-simplify]: Simplify (/ 1 1) into 1 45.025 * [taylor]: Taking taylor expansion of (/ 1 b) in a 45.025 * [taylor]: Taking taylor expansion of b in a 45.025 * [backup-simplify]: Simplify b into b 45.025 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 45.025 * [backup-simplify]: Simplify (* 0 PI) into 0 45.027 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 45.027 * [backup-simplify]: Simplify (+ 1 0) into 1 45.028 * [backup-simplify]: Simplify (/ PI 1) into PI 45.028 * [taylor]: Taking taylor expansion of (fma (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) in a 45.028 * [taylor]: Rewrote expression to (+ (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b))))) 45.028 * [taylor]: Taking taylor expansion of (* (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) b) in a 45.028 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 45.028 * [taylor]: Taking taylor expansion of -1/2 in a 45.028 * [backup-simplify]: Simplify -1/2 into -1/2 45.028 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 45.028 * [taylor]: Taking taylor expansion of PI in a 45.028 * [backup-simplify]: Simplify PI into PI 45.028 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 45.028 * [taylor]: Taking taylor expansion of (/ 1 a) in a 45.028 * [taylor]: Taking taylor expansion of a in a 45.028 * [backup-simplify]: Simplify 0 into 0 45.028 * [backup-simplify]: Simplify 1 into 1 45.029 * [backup-simplify]: Simplify (/ 1 1) into 1 45.029 * [taylor]: Taking taylor expansion of (/ 1 b) in a 45.029 * [taylor]: Taking taylor expansion of b in a 45.029 * [backup-simplify]: Simplify b into b 45.029 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 45.029 * [backup-simplify]: Simplify (+ 1 0) into 1 45.030 * [backup-simplify]: Simplify (/ PI 1) into PI 45.030 * [taylor]: Taking taylor expansion of b in a 45.030 * [backup-simplify]: Simplify b into b 45.030 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (+ (/ 1 a) (/ 1 b)))) in a 45.030 * [taylor]: Taking taylor expansion of 1/2 in a 45.030 * [backup-simplify]: Simplify 1/2 into 1/2 45.030 * [taylor]: Taking taylor expansion of (/ (* a PI) (+ (/ 1 a) (/ 1 b))) in a 45.030 * [taylor]: Taking taylor expansion of (* a PI) in a 45.030 * [taylor]: Taking taylor expansion of a in a 45.030 * [backup-simplify]: Simplify 0 into 0 45.030 * [backup-simplify]: Simplify 1 into 1 45.030 * [taylor]: Taking taylor expansion of PI in a 45.030 * [backup-simplify]: Simplify PI into PI 45.030 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 45.030 * [taylor]: Taking taylor expansion of (/ 1 a) in a 45.030 * [taylor]: Taking taylor expansion of a in a 45.030 * [backup-simplify]: Simplify 0 into 0 45.030 * [backup-simplify]: Simplify 1 into 1 45.031 * [backup-simplify]: Simplify (/ 1 1) into 1 45.031 * [taylor]: Taking taylor expansion of (/ 1 b) in a 45.031 * [taylor]: Taking taylor expansion of b in a 45.031 * [backup-simplify]: Simplify b into b 45.031 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 45.031 * [backup-simplify]: Simplify (* 0 PI) into 0 45.033 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 45.033 * [backup-simplify]: Simplify (+ 1 0) into 1 45.034 * [backup-simplify]: Simplify (/ PI 1) into PI 45.034 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 45.035 * [backup-simplify]: Simplify (* (* -1/2 PI) b) into (* -1/2 (* b PI)) 45.035 * [backup-simplify]: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) 45.035 * [taylor]: Taking taylor expansion of (- (* 1/2 (* b PI))) in b 45.035 * [taylor]: Taking taylor expansion of (* 1/2 (* b PI)) in b 45.035 * [taylor]: Taking taylor expansion of 1/2 in b 45.035 * [backup-simplify]: Simplify 1/2 into 1/2 45.035 * [taylor]: Taking taylor expansion of (* b PI) in b 45.035 * [taylor]: Taking taylor expansion of b in b 45.035 * [backup-simplify]: Simplify 0 into 0 45.035 * [backup-simplify]: Simplify 1 into 1 45.035 * [taylor]: Taking taylor expansion of PI in b 45.035 * [backup-simplify]: Simplify PI into PI 45.037 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 45.038 * [backup-simplify]: Simplify (* 0 PI) into 0 45.039 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) 45.040 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 45.041 * [backup-simplify]: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) 45.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.042 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 45.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 45.043 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 45.044 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (* (* 1/2 (/ PI b)) b)) into (* 1/2 PI) 45.045 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 45.046 * [backup-simplify]: Simplify (+ (* 1/2 PI) (* 1/2 PI)) into PI 45.046 * [taylor]: Taking taylor expansion of PI in b 45.046 * [backup-simplify]: Simplify PI into PI 45.046 * [backup-simplify]: Simplify 0 into 0 45.047 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 45.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 45.049 * [backup-simplify]: Simplify (- 0) into 0 45.049 * [backup-simplify]: Simplify 0 into 0 45.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 45.050 * [backup-simplify]: Simplify (+ 0 0) into 0 45.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 45.052 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 45.053 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) 0) (* (- (* 1/2 (/ PI (pow b 2)))) b))) into (- (* 1/2 (/ PI b))) 45.054 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 45.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.055 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 45.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 45.056 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 45.056 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ PI b))) (- (* 1/2 (/ PI b)))) into (- (/ PI b)) 45.056 * [taylor]: Taking taylor expansion of (- (/ PI b)) in b 45.056 * [taylor]: Taking taylor expansion of (/ PI b) in b 45.056 * [taylor]: Taking taylor expansion of PI in b 45.056 * [backup-simplify]: Simplify PI into PI 45.056 * [taylor]: Taking taylor expansion of b in b 45.056 * [backup-simplify]: Simplify 0 into 0 45.056 * [backup-simplify]: Simplify 1 into 1 45.057 * [backup-simplify]: Simplify (/ PI 1) into PI 45.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 45.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.059 * [backup-simplify]: Simplify (- 0) into 0 45.059 * [backup-simplify]: Simplify 0 into 0 45.059 * [backup-simplify]: Simplify 0 into 0 45.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 45.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 45.062 * [backup-simplify]: Simplify (- 0) into 0 45.062 * [backup-simplify]: Simplify 0 into 0 45.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 45.063 * [backup-simplify]: Simplify (+ 0 0) into 0 45.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ 0 1)) (* (/ PI (pow b 2)) (/ (/ 1 b) 1)))) into (- (/ PI (pow b 3))) 45.066 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI (pow b 3)))) (+ (* 0 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI)))) into (* 1/2 (/ PI (pow b 3))) 45.067 * [backup-simplify]: Simplify (+ (* (* -1/2 PI) 0) (+ (* (* 1/2 (/ PI b)) 0) (+ (* (- (* 1/2 (/ PI (pow b 2)))) 0) (* (* 1/2 (/ PI (pow b 3))) b)))) into (* 1/2 (/ PI (pow b 2))) 45.068 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 45.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 45.070 * [backup-simplify]: Simplify (+ 0 0) into 0 45.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 45.071 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 45.072 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (* 1/2 (/ PI (pow b 2)))) into (/ PI (pow b 2)) 45.072 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 45.072 * [taylor]: Taking taylor expansion of PI in b 45.072 * [backup-simplify]: Simplify PI into PI 45.072 * [taylor]: Taking taylor expansion of (pow b 2) in b 45.072 * [taylor]: Taking taylor expansion of b in b 45.072 * [backup-simplify]: Simplify 0 into 0 45.072 * [backup-simplify]: Simplify 1 into 1 45.072 * [backup-simplify]: Simplify (* 1 1) into 1 45.073 * [backup-simplify]: Simplify (/ PI 1) into PI 45.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 45.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 45.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 45.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.078 * [backup-simplify]: Simplify 0 into 0 45.080 * [backup-simplify]: Simplify (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* a b))) 45.080 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 3 2) 45.080 * [backup-simplify]: Simplify (/ (/ 1 (* (+ a b) 2)) a) into (/ 1/2 (* a (+ a b))) 45.080 * [approximate]: Taking taylor expansion of (/ 1/2 (* a (+ a b))) in (a b) around 0 45.080 * [taylor]: Taking taylor expansion of (/ 1/2 (* a (+ a b))) in b 45.080 * [taylor]: Taking taylor expansion of 1/2 in b 45.080 * [backup-simplify]: Simplify 1/2 into 1/2 45.080 * [taylor]: Taking taylor expansion of (* a (+ a b)) in b 45.080 * [taylor]: Taking taylor expansion of a in b 45.080 * [backup-simplify]: Simplify a into a 45.080 * [taylor]: Taking taylor expansion of (+ a b) in b 45.080 * [taylor]: Taking taylor expansion of a in b 45.080 * [backup-simplify]: Simplify a into a 45.080 * [taylor]: Taking taylor expansion of b in b 45.080 * [backup-simplify]: Simplify 0 into 0 45.080 * [backup-simplify]: Simplify 1 into 1 45.080 * [backup-simplify]: Simplify (+ a 0) into a 45.080 * [backup-simplify]: Simplify (* a a) into (pow a 2) 45.080 * [backup-simplify]: Simplify (/ 1/2 (pow a 2)) into (/ 1/2 (pow a 2)) 45.080 * [taylor]: Taking taylor expansion of (/ 1/2 (* a (+ a b))) in a 45.080 * [taylor]: Taking taylor expansion of 1/2 in a 45.080 * [backup-simplify]: Simplify 1/2 into 1/2 45.081 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 45.081 * [taylor]: Taking taylor expansion of a in a 45.081 * [backup-simplify]: Simplify 0 into 0 45.081 * [backup-simplify]: Simplify 1 into 1 45.081 * [taylor]: Taking taylor expansion of (+ a b) in a 45.081 * [taylor]: Taking taylor expansion of a in a 45.081 * [backup-simplify]: Simplify 0 into 0 45.081 * [backup-simplify]: Simplify 1 into 1 45.081 * [taylor]: Taking taylor expansion of b in a 45.081 * [backup-simplify]: Simplify b into b 45.081 * [backup-simplify]: Simplify (+ 0 b) into b 45.081 * [backup-simplify]: Simplify (* 0 b) into 0 45.081 * [backup-simplify]: Simplify (+ 1 0) into 1 45.082 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 45.082 * [backup-simplify]: Simplify (/ 1/2 b) into (/ 1/2 b) 45.082 * [taylor]: Taking taylor expansion of (/ 1/2 (* a (+ a b))) in a 45.082 * [taylor]: Taking taylor expansion of 1/2 in a 45.082 * [backup-simplify]: Simplify 1/2 into 1/2 45.082 * [taylor]: Taking taylor expansion of (* a (+ a b)) in a 45.082 * [taylor]: Taking taylor expansion of a in a 45.082 * [backup-simplify]: Simplify 0 into 0 45.082 * [backup-simplify]: Simplify 1 into 1 45.082 * [taylor]: Taking taylor expansion of (+ a b) in a 45.082 * [taylor]: Taking taylor expansion of a in a 45.082 * [backup-simplify]: Simplify 0 into 0 45.082 * [backup-simplify]: Simplify 1 into 1 45.082 * [taylor]: Taking taylor expansion of b in a 45.082 * [backup-simplify]: Simplify b into b 45.082 * [backup-simplify]: Simplify (+ 0 b) into b 45.082 * [backup-simplify]: Simplify (* 0 b) into 0 45.083 * [backup-simplify]: Simplify (+ 1 0) into 1 45.083 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 b)) into b 45.083 * [backup-simplify]: Simplify (/ 1/2 b) into (/ 1/2 b) 45.083 * [taylor]: Taking taylor expansion of (/ 1/2 b) in b 45.083 * [taylor]: Taking taylor expansion of 1/2 in b 45.083 * [backup-simplify]: Simplify 1/2 into 1/2 45.083 * [taylor]: Taking taylor expansion of b in b 45.083 * [backup-simplify]: Simplify 0 into 0 45.083 * [backup-simplify]: Simplify 1 into 1 45.084 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 45.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 45.085 * [backup-simplify]: Simplify 0 into 0 45.085 * [backup-simplify]: Simplify (+ 0 0) into 0 45.086 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 b))) into 1 45.086 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 1 b)))) into (- (* 1/2 (/ 1 (pow b 2)))) 45.086 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow b 2)))) in b 45.086 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow b 2))) in b 45.086 * [taylor]: Taking taylor expansion of 1/2 in b 45.086 * [backup-simplify]: Simplify 1/2 into 1/2 45.086 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 45.086 * [taylor]: Taking taylor expansion of (pow b 2) in b 45.086 * [taylor]: Taking taylor expansion of b in b 45.086 * [backup-simplify]: Simplify 0 into 0 45.086 * [backup-simplify]: Simplify 1 into 1 45.087 * [backup-simplify]: Simplify (* 1 1) into 1 45.087 * [backup-simplify]: Simplify (/ 1 1) into 1 45.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 45.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 45.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.091 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 45.091 * [backup-simplify]: Simplify (- 0) into 0 45.091 * [backup-simplify]: Simplify 0 into 0 45.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.093 * [backup-simplify]: Simplify 0 into 0 45.094 * [backup-simplify]: Simplify (+ 0 0) into 0 45.095 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 b)))) into 0 45.095 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (* 1/2 (/ 1 (pow b 2)))) (/ 1 b)))) into (* 1/2 (/ 1 (pow b 3))) 45.095 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow b 3))) in b 45.095 * [taylor]: Taking taylor expansion of 1/2 in b 45.095 * [backup-simplify]: Simplify 1/2 into 1/2 45.095 * [taylor]: Taking taylor expansion of (/ 1 (pow b 3)) in b 45.095 * [taylor]: Taking taylor expansion of (pow b 3) in b 45.095 * [taylor]: Taking taylor expansion of b in b 45.095 * [backup-simplify]: Simplify 0 into 0 45.095 * [backup-simplify]: Simplify 1 into 1 45.096 * [backup-simplify]: Simplify (* 1 1) into 1 45.096 * [backup-simplify]: Simplify (* 1 1) into 1 45.097 * [backup-simplify]: Simplify (/ 1 1) into 1 45.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 45.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 45.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 45.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 45.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.106 * [backup-simplify]: Simplify 0 into 0 45.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.109 * [backup-simplify]: Simplify (- 0) into 0 45.109 * [backup-simplify]: Simplify 0 into 0 45.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.110 * [backup-simplify]: Simplify 0 into 0 45.110 * [backup-simplify]: Simplify 0 into 0 45.111 * [backup-simplify]: Simplify (/ (/ 1 (* (+ (/ 1 a) (/ 1 b)) 2)) (/ 1 a)) into (* 1/2 (/ a (+ (/ 1 a) (/ 1 b)))) 45.111 * [approximate]: Taking taylor expansion of (* 1/2 (/ a (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 45.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (+ (/ 1 a) (/ 1 b)))) in b 45.111 * [taylor]: Taking taylor expansion of 1/2 in b 45.111 * [backup-simplify]: Simplify 1/2 into 1/2 45.111 * [taylor]: Taking taylor expansion of (/ a (+ (/ 1 a) (/ 1 b))) in b 45.111 * [taylor]: Taking taylor expansion of a in b 45.111 * [backup-simplify]: Simplify a into a 45.111 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 45.111 * [taylor]: Taking taylor expansion of (/ 1 a) in b 45.111 * [taylor]: Taking taylor expansion of a in b 45.111 * [backup-simplify]: Simplify a into a 45.111 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 45.111 * [taylor]: Taking taylor expansion of (/ 1 b) in b 45.111 * [taylor]: Taking taylor expansion of b in b 45.111 * [backup-simplify]: Simplify 0 into 0 45.111 * [backup-simplify]: Simplify 1 into 1 45.111 * [backup-simplify]: Simplify (/ 1 1) into 1 45.112 * [backup-simplify]: Simplify (+ 0 1) into 1 45.112 * [backup-simplify]: Simplify (/ a 1) into a 45.112 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (+ (/ 1 a) (/ 1 b)))) in a 45.112 * [taylor]: Taking taylor expansion of 1/2 in a 45.112 * [backup-simplify]: Simplify 1/2 into 1/2 45.112 * [taylor]: Taking taylor expansion of (/ a (+ (/ 1 a) (/ 1 b))) in a 45.112 * [taylor]: Taking taylor expansion of a in a 45.112 * [backup-simplify]: Simplify 0 into 0 45.112 * [backup-simplify]: Simplify 1 into 1 45.112 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 45.112 * [taylor]: Taking taylor expansion of (/ 1 a) in a 45.112 * [taylor]: Taking taylor expansion of a in a 45.112 * [backup-simplify]: Simplify 0 into 0 45.112 * [backup-simplify]: Simplify 1 into 1 45.113 * [backup-simplify]: Simplify (/ 1 1) into 1 45.113 * [taylor]: Taking taylor expansion of (/ 1 b) in a 45.113 * [taylor]: Taking taylor expansion of b in a 45.113 * [backup-simplify]: Simplify b into b 45.113 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 45.113 * [backup-simplify]: Simplify (+ 1 0) into 1 45.114 * [backup-simplify]: Simplify (/ 1 1) into 1 45.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (+ (/ 1 a) (/ 1 b)))) in a 45.114 * [taylor]: Taking taylor expansion of 1/2 in a 45.114 * [backup-simplify]: Simplify 1/2 into 1/2 45.114 * [taylor]: Taking taylor expansion of (/ a (+ (/ 1 a) (/ 1 b))) in a 45.114 * [taylor]: Taking taylor expansion of a in a 45.114 * [backup-simplify]: Simplify 0 into 0 45.114 * [backup-simplify]: Simplify 1 into 1 45.114 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 45.114 * [taylor]: Taking taylor expansion of (/ 1 a) in a 45.114 * [taylor]: Taking taylor expansion of a in a 45.114 * [backup-simplify]: Simplify 0 into 0 45.114 * [backup-simplify]: Simplify 1 into 1 45.114 * [backup-simplify]: Simplify (/ 1 1) into 1 45.114 * [taylor]: Taking taylor expansion of (/ 1 b) in a 45.114 * [taylor]: Taking taylor expansion of b in a 45.114 * [backup-simplify]: Simplify b into b 45.114 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 45.115 * [backup-simplify]: Simplify (+ 1 0) into 1 45.115 * [backup-simplify]: Simplify (/ 1 1) into 1 45.116 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 45.116 * [taylor]: Taking taylor expansion of 1/2 in b 45.116 * [backup-simplify]: Simplify 1/2 into 1/2 45.116 * [backup-simplify]: Simplify 0 into 0 45.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.117 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 45.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) 45.118 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ 1 b))) (* 0 1)) into (- (* 1/2 (/ 1 b))) 45.118 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 b))) in b 45.118 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 45.118 * [taylor]: Taking taylor expansion of 1/2 in b 45.118 * [backup-simplify]: Simplify 1/2 into 1/2 45.118 * [taylor]: Taking taylor expansion of (/ 1 b) in b 45.118 * [taylor]: Taking taylor expansion of b in b 45.118 * [backup-simplify]: Simplify 0 into 0 45.118 * [backup-simplify]: Simplify 1 into 1 45.118 * [backup-simplify]: Simplify (/ 1 1) into 1 45.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 45.121 * [backup-simplify]: Simplify (- 0) into 0 45.121 * [backup-simplify]: Simplify 0 into 0 45.121 * [backup-simplify]: Simplify 0 into 0 45.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 45.123 * [backup-simplify]: Simplify (+ 0 0) into 0 45.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (pow b 2)) 45.124 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow b 2))) (+ (* 0 (- (/ 1 b))) (* 0 1))) into (* 1/2 (/ 1 (pow b 2))) 45.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow b 2))) in b 45.124 * [taylor]: Taking taylor expansion of 1/2 in b 45.124 * [backup-simplify]: Simplify 1/2 into 1/2 45.124 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 45.124 * [taylor]: Taking taylor expansion of (pow b 2) in b 45.124 * [taylor]: Taking taylor expansion of b in b 45.124 * [backup-simplify]: Simplify 0 into 0 45.125 * [backup-simplify]: Simplify 1 into 1 45.125 * [backup-simplify]: Simplify (* 1 1) into 1 45.125 * [backup-simplify]: Simplify (/ 1 1) into 1 45.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 45.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 45.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.132 * [backup-simplify]: Simplify 0 into 0 45.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.134 * [backup-simplify]: Simplify (- 0) into 0 45.134 * [backup-simplify]: Simplify 0 into 0 45.134 * [backup-simplify]: Simplify 0 into 0 45.134 * [backup-simplify]: Simplify 0 into 0 45.135 * [backup-simplify]: Simplify (/ (/ 1 (* (+ (/ 1 (- a)) (/ 1 (- b))) 2)) (/ 1 (- a))) into (* 1/2 (/ a (+ (/ 1 a) (/ 1 b)))) 45.135 * [approximate]: Taking taylor expansion of (* 1/2 (/ a (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 45.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (+ (/ 1 a) (/ 1 b)))) in b 45.135 * [taylor]: Taking taylor expansion of 1/2 in b 45.135 * [backup-simplify]: Simplify 1/2 into 1/2 45.135 * [taylor]: Taking taylor expansion of (/ a (+ (/ 1 a) (/ 1 b))) in b 45.135 * [taylor]: Taking taylor expansion of a in b 45.135 * [backup-simplify]: Simplify a into a 45.135 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 45.135 * [taylor]: Taking taylor expansion of (/ 1 a) in b 45.135 * [taylor]: Taking taylor expansion of a in b 45.135 * [backup-simplify]: Simplify a into a 45.135 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 45.135 * [taylor]: Taking taylor expansion of (/ 1 b) in b 45.135 * [taylor]: Taking taylor expansion of b in b 45.135 * [backup-simplify]: Simplify 0 into 0 45.135 * [backup-simplify]: Simplify 1 into 1 45.135 * [backup-simplify]: Simplify (/ 1 1) into 1 45.142 * [backup-simplify]: Simplify (+ 0 1) into 1 45.142 * [backup-simplify]: Simplify (/ a 1) into a 45.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (+ (/ 1 a) (/ 1 b)))) in a 45.142 * [taylor]: Taking taylor expansion of 1/2 in a 45.142 * [backup-simplify]: Simplify 1/2 into 1/2 45.142 * [taylor]: Taking taylor expansion of (/ a (+ (/ 1 a) (/ 1 b))) in a 45.142 * [taylor]: Taking taylor expansion of a in a 45.142 * [backup-simplify]: Simplify 0 into 0 45.142 * [backup-simplify]: Simplify 1 into 1 45.142 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 45.142 * [taylor]: Taking taylor expansion of (/ 1 a) in a 45.142 * [taylor]: Taking taylor expansion of a in a 45.142 * [backup-simplify]: Simplify 0 into 0 45.142 * [backup-simplify]: Simplify 1 into 1 45.143 * [backup-simplify]: Simplify (/ 1 1) into 1 45.143 * [taylor]: Taking taylor expansion of (/ 1 b) in a 45.143 * [taylor]: Taking taylor expansion of b in a 45.143 * [backup-simplify]: Simplify b into b 45.143 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 45.144 * [backup-simplify]: Simplify (+ 1 0) into 1 45.144 * [backup-simplify]: Simplify (/ 1 1) into 1 45.144 * [taylor]: Taking taylor expansion of (* 1/2 (/ a (+ (/ 1 a) (/ 1 b)))) in a 45.144 * [taylor]: Taking taylor expansion of 1/2 in a 45.144 * [backup-simplify]: Simplify 1/2 into 1/2 45.144 * [taylor]: Taking taylor expansion of (/ a (+ (/ 1 a) (/ 1 b))) in a 45.144 * [taylor]: Taking taylor expansion of a in a 45.144 * [backup-simplify]: Simplify 0 into 0 45.144 * [backup-simplify]: Simplify 1 into 1 45.144 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 45.144 * [taylor]: Taking taylor expansion of (/ 1 a) in a 45.144 * [taylor]: Taking taylor expansion of a in a 45.144 * [backup-simplify]: Simplify 0 into 0 45.144 * [backup-simplify]: Simplify 1 into 1 45.145 * [backup-simplify]: Simplify (/ 1 1) into 1 45.145 * [taylor]: Taking taylor expansion of (/ 1 b) in a 45.145 * [taylor]: Taking taylor expansion of b in a 45.145 * [backup-simplify]: Simplify b into b 45.145 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 45.145 * [backup-simplify]: Simplify (+ 1 0) into 1 45.146 * [backup-simplify]: Simplify (/ 1 1) into 1 45.146 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 45.146 * [taylor]: Taking taylor expansion of 1/2 in b 45.146 * [backup-simplify]: Simplify 1/2 into 1/2 45.146 * [backup-simplify]: Simplify 0 into 0 45.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.147 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 45.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) 45.148 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ 1 b))) (* 0 1)) into (- (* 1/2 (/ 1 b))) 45.148 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 b))) in b 45.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 b)) in b 45.148 * [taylor]: Taking taylor expansion of 1/2 in b 45.148 * [backup-simplify]: Simplify 1/2 into 1/2 45.148 * [taylor]: Taking taylor expansion of (/ 1 b) in b 45.148 * [taylor]: Taking taylor expansion of b in b 45.148 * [backup-simplify]: Simplify 0 into 0 45.148 * [backup-simplify]: Simplify 1 into 1 45.149 * [backup-simplify]: Simplify (/ 1 1) into 1 45.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 45.152 * [backup-simplify]: Simplify (- 0) into 0 45.152 * [backup-simplify]: Simplify 0 into 0 45.152 * [backup-simplify]: Simplify 0 into 0 45.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 45.153 * [backup-simplify]: Simplify (+ 0 0) into 0 45.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (pow b 2)) 45.155 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow b 2))) (+ (* 0 (- (/ 1 b))) (* 0 1))) into (* 1/2 (/ 1 (pow b 2))) 45.155 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow b 2))) in b 45.155 * [taylor]: Taking taylor expansion of 1/2 in b 45.155 * [backup-simplify]: Simplify 1/2 into 1/2 45.155 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 45.155 * [taylor]: Taking taylor expansion of (pow b 2) in b 45.155 * [taylor]: Taking taylor expansion of b in b 45.155 * [backup-simplify]: Simplify 0 into 0 45.155 * [backup-simplify]: Simplify 1 into 1 45.155 * [backup-simplify]: Simplify (* 1 1) into 1 45.156 * [backup-simplify]: Simplify (/ 1 1) into 1 45.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 45.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 45.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 45.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.162 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.162 * [backup-simplify]: Simplify 0 into 0 45.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 45.164 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 45.165 * [backup-simplify]: Simplify (- 0) into 0 45.165 * [backup-simplify]: Simplify 0 into 0 45.165 * [backup-simplify]: Simplify 0 into 0 45.165 * [backup-simplify]: Simplify 0 into 0 45.165 * * * [progress]: simplifying candidates 45.165 * * * * [progress]: [ 1 / 169 ] simplifiying candidate # 45.166 * * * * [progress]: [ 2 / 169 ] simplifiying candidate # 45.166 * * * * [progress]: [ 3 / 169 ] simplifiying candidate # 45.166 * * * * [progress]: [ 4 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# 45.167 * * * * [progress]: [ 20 / 169 ] simplifiying candidate # 45.167 * * * * [progress]: [ 21 / 169 ] simplifiying candidate # 45.167 * * * * [progress]: [ 22 / 169 ] simplifiying candidate # 45.167 * * * * [progress]: [ 23 / 169 ] simplifiying candidate # 45.167 * * * * [progress]: [ 24 / 169 ] simplifiying candidate # 45.167 * * * * [progress]: [ 25 / 169 ] simplifiying candidate # 45.167 * * * * [progress]: [ 26 / 169 ] simplifiying candidate # 45.167 * * * * [progress]: [ 27 / 169 ] simplifiying candidate # 45.167 * * * * [progress]: [ 28 / 169 ] simplifiying candidate # 45.167 * * * * [progress]: [ 29 / 169 ] simplifiying candidate # 45.168 * * * * [progress]: [ 30 / 169 ] simplifiying candidate # 45.168 * * * * [progress]: [ 31 / 169 ] simplifiying candidate # 45.168 * * * * [progress]: [ 32 / 169 ] simplifiying candidate # 45.168 * * * * [progress]: [ 33 / 169 ] simplifiying candidate # 45.168 * * * * [progress]: [ 34 / 169 ] simplifiying candidate # 45.168 * * * * 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simplifiying candidate # 45.172 * * * * [progress]: [ 97 / 169 ] simplifiying candidate # 45.172 * * * * [progress]: [ 98 / 169 ] simplifiying candidate # 45.172 * * * * [progress]: [ 99 / 169 ] simplifiying candidate # 45.172 * * * * [progress]: [ 100 / 169 ] simplifiying candidate # 45.172 * * * * [progress]: [ 101 / 169 ] simplifiying candidate # 45.172 * * * * [progress]: [ 102 / 169 ] simplifiying candidate # 45.173 * * * * [progress]: [ 103 / 169 ] simplifiying candidate # 45.173 * * * * [progress]: [ 104 / 169 ] simplifiying candidate # 45.173 * * * * [progress]: [ 105 / 169 ] simplifiying candidate # 45.173 * * * * [progress]: [ 106 / 169 ] simplifiying candidate # 45.173 * * * * [progress]: [ 107 / 169 ] simplifiying candidate # 45.173 * * * * [progress]: [ 108 / 169 ] simplifiying candidate # 45.173 * * * * [progress]: [ 109 / 169 ] simplifiying candidate # 45.173 * * * * [progress]: [ 110 / 169 ] simplifiying candidate # 45.173 * * * * [progress]: [ 111 / 169 ] simplifiying candidate # 45.173 * * * * [progress]: [ 112 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 113 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 114 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 115 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 116 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 117 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 118 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 119 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 120 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 121 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 122 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 123 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 124 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 125 / 169 ] simplifiying candidate # 45.174 * * * * [progress]: [ 126 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 127 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 128 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 129 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 130 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 131 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 132 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 133 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 134 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 135 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 136 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 137 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 138 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 139 / 169 ] simplifiying candidate # 45.175 * * * * [progress]: [ 140 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 141 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 142 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 143 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 144 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 145 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 146 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 147 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 148 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 149 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 150 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 151 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 152 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 153 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 154 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 155 / 169 ] simplifiying candidate # 45.176 * * * * [progress]: [ 156 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 157 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 158 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 159 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 160 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 161 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 162 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 163 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 164 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 165 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 166 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 167 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 168 / 169 ] simplifiying candidate # 45.177 * * * * [progress]: [ 169 / 169 ] simplifiying candidate # 45.180 * [simplify]: Simplifying: (expm1 (* PI (/ (/ 1 (* (+ a b) 2)) a))) (log1p (* PI (/ (/ 1 (* (+ a b) 2)) a))) (* PI (/ (/ 1 (* (+ a b) 2)) a)) (+ (log PI) (- (- (+ (log (+ a b)) (log 2))) (log a))) (+ (log PI) (- (- (log (* (+ a b) 2))) (log a))) (+ (log PI) (- (- 0 (+ (log (+ a b)) (log 2))) (log a))) (+ (log PI) (- (- 0 (log (* (+ a b) 2))) (log a))) (+ (log PI) (- (- (log 1) (+ (log (+ a b)) (log 2))) (log a))) (+ (log PI) (- (- (log 1) (log (* (+ a b) 2))) (log a))) (+ (log PI) (- (log (/ 1 (* (+ a b) 2))) (log a))) (+ (log PI) (log (/ (/ 1 (* (+ a b) 2)) a))) (log (* PI (/ (/ 1 (* (+ a b) 2)) a))) (exp (* PI (/ (/ 1 (* (+ a b) 2)) a))) (* (* (* PI PI) PI) (/ (/ (* (* 1 1) 1) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2))) (* (* a a) a))) (* (* (* PI PI) PI) (/ (/ (* (* 1 1) 1) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (* a a) a))) (* (* (* PI PI) PI) (/ (* (* (/ 1 (* (+ a b) 2)) (/ 1 (* (+ a b) 2))) (/ 1 (* (+ a b) 2))) (* (* a a) a))) (* (* (* PI PI) PI) (* (* (/ (/ 1 (* (+ a b) 2)) a) (/ (/ 1 (* (+ a b) 2)) a)) (/ (/ 1 (* (+ a b) 2)) a))) (* (cbrt (* PI (/ (/ 1 (* (+ a b) 2)) a))) (cbrt (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (cbrt (* PI (/ (/ 1 (* (+ a b) 2)) a))) (* (* (* PI (/ (/ 1 (* (+ a b) 2)) a)) (* PI (/ (/ 1 (* (+ a b) 2)) a))) (* PI (/ (/ 1 (* (+ a b) 2)) a))) (sqrt (* PI (/ (/ 1 (* (+ a b) 2)) a))) (sqrt (* PI (/ (/ 1 (* (+ a b) 2)) a))) (* (sqrt PI) (sqrt (/ (/ 1 (* (+ a b) 2)) a))) (* (sqrt PI) (sqrt (/ (/ 1 (* (+ a b) 2)) a))) (* (sqrt PI) (/ (sqrt (/ 1 (* (+ a b) 2))) (sqrt a))) (* (sqrt PI) (/ (sqrt (/ 1 (* (+ a b) 2))) (sqrt a))) (* PI (* (cbrt (/ (/ 1 (* (+ a b) 2)) a)) (cbrt (/ (/ 1 (* (+ a b) 2)) a)))) (* PI (sqrt (/ (/ 1 (* (+ a b) 2)) a))) (* PI (/ (* (cbrt (/ 1 (* (+ a b) 2))) (cbrt (/ 1 (* (+ a b) 2)))) (* (cbrt a) (cbrt a)))) (* PI (/ (* (cbrt (/ 1 (* (+ a b) 2))) (cbrt (/ 1 (* (+ a b) 2)))) (sqrt a))) (* PI (/ (* (cbrt (/ 1 (* (+ a b) 2))) (cbrt (/ 1 (* (+ a b) 2)))) 1)) (* PI (/ (sqrt (/ 1 (* (+ a b) 2))) (* (cbrt a) (cbrt a)))) (* PI (/ (sqrt (/ 1 (* (+ a b) 2))) (sqrt a))) (* PI (/ (sqrt (/ 1 (* (+ a b) 2))) 1)) (* PI (/ (/ (* (cbrt 1) (cbrt 1)) (+ a b)) (* (cbrt a) (cbrt a)))) (* PI (/ (/ (* (cbrt 1) (cbrt 1)) (+ a b)) (sqrt a))) (* PI (/ (/ (* (cbrt 1) (cbrt 1)) (+ a b)) 1)) (* PI (/ (/ (sqrt 1) (+ a b)) (* (cbrt a) (cbrt a)))) (* PI (/ (/ (sqrt 1) (+ a b)) (sqrt a))) (* PI (/ (/ (sqrt 1) (+ a b)) 1)) (* PI (/ (/ 1 (+ a b)) (* (cbrt a) (cbrt a)))) (* PI (/ (/ 1 (+ a b)) (sqrt a))) (* PI (/ (/ 1 (+ a b)) 1)) (* PI (/ 1 (* (cbrt a) (cbrt a)))) (* PI (/ 1 (sqrt a))) (* PI (/ 1 1)) (* PI (/ 1 (* (cbrt a) (cbrt a)))) (* PI (/ 1 (sqrt a))) (* PI (/ 1 1)) (* PI (/ (/ 1 (* (+ (pow a 3) (pow b 3)) 2)) (* (cbrt a) (cbrt a)))) (* PI (/ (/ 1 (* (+ (pow a 3) (pow b 3)) 2)) (sqrt a))) (* PI (/ (/ 1 (* (+ (pow a 3) (pow b 3)) 2)) 1)) (* PI (/ (/ 1 (* (- (* a a) (* b b)) 2)) (* (cbrt a) (cbrt a)))) (* PI (/ (/ 1 (* (- (* a a) (* b b)) 2)) (sqrt a))) (* PI (/ (/ 1 (* (- (* a a) (* b b)) 2)) 1)) (* PI 1) (* PI (/ 1 (* (+ a b) 2))) (* (cbrt PI) (/ (/ 1 (* (+ a b) 2)) a)) (* (sqrt PI) (/ (/ 1 (* (+ a b) 2)) a)) (* PI (/ (/ 1 (* (+ a b) 2)) a)) (* PI (/ 1 (* (+ a b) 2))) (expm1 (/ PI (* (+ a b) 2))) (log1p (/ PI (* (+ a b) 2))) (- (log PI) (+ (log (+ a b)) (log 2))) (- (log PI) (log (* (+ a b) 2))) (log (/ PI (* (+ a b) 2))) (exp (/ PI (* (+ a b) 2))) (/ (* (* PI PI) PI) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2))) (/ (* (* PI PI) PI) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (cbrt (/ PI (* (+ a b) 2))) (cbrt (/ PI (* (+ a b) 2)))) (cbrt (/ PI (* (+ a b) 2))) (* (* (/ PI (* (+ a b) 2)) (/ PI (* (+ a b) 2))) (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (sqrt (/ PI (* (+ a b) 2))) (- PI) (- (* (+ a b) 2)) (/ (* (cbrt PI) (cbrt PI)) (+ a b)) (/ (cbrt PI) 2) (/ (sqrt PI) (+ a b)) (/ (sqrt PI) 2) (/ 1 (+ a b)) (/ PI 2) (/ 1 (* (+ a b) 2)) (/ (* (+ a b) 2) PI) (/ PI (+ a b)) (/ (* (+ a b) 2) (cbrt PI)) (/ (* (+ a b) 2) (sqrt PI)) (/ (* (+ a b) 2) PI) (/ PI (* (+ (pow a 3) (pow b 3)) 2)) (/ PI (* (- (* a a) (* b b)) 2)) (expm1 (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (log1p (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (* (/ PI (* (+ a b) 2)) (/ -1 b)) (log (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (exp (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (* (cbrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (cbrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a))))) (cbrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (* (* (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a))) (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (sqrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (sqrt (fma (/ PI (* (+ a b) 2)) (/ -1 b) (* PI (/ (/ 1 (* (+ a b) 2)) a)))) (expm1 (/ (/ 1 (* (+ a b) 2)) a)) (log1p (/ (/ 1 (* (+ a b) 2)) a)) (- (- (+ (log (+ a b)) (log 2))) (log a)) (- (- (log (* (+ a b) 2))) (log a)) (- (- 0 (+ (log (+ a b)) (log 2))) (log a)) (- (- 0 (log (* (+ a b) 2))) (log a)) (- (- (log 1) (+ (log (+ a b)) (log 2))) (log a)) (- (- (log 1) (log (* (+ a b) 2))) (log a)) (- (log (/ 1 (* (+ a b) 2))) (log a)) (log (/ (/ 1 (* (+ a b) 2)) a)) (exp (/ (/ 1 (* (+ a b) 2)) a)) (/ (/ (* (* 1 1) 1) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* 2 2) 2))) (* (* a a) a)) (/ (/ (* (* 1 1) 1) (* (* (* (+ a b) 2) (* (+ a b) 2)) (* (+ a b) 2))) (* (* a a) a)) (/ (* (* (/ 1 (* (+ a b) 2)) (/ 1 (* (+ a b) 2))) (/ 1 (* (+ a b) 2))) (* (* a a) a)) (* (cbrt (/ (/ 1 (* (+ a b) 2)) a)) (cbrt (/ (/ 1 (* (+ a b) 2)) a))) (cbrt (/ (/ 1 (* (+ a b) 2)) a)) (* (* (/ (/ 1 (* (+ a b) 2)) a) (/ (/ 1 (* (+ a b) 2)) a)) (/ (/ 1 (* (+ a b) 2)) a)) (sqrt (/ (/ 1 (* (+ a b) 2)) a)) (sqrt (/ (/ 1 (* (+ a b) 2)) a)) (- (/ 1 (* (+ a b) 2))) (- a) (/ (* (cbrt (/ 1 (* (+ a b) 2))) (cbrt (/ 1 (* (+ a b) 2)))) (* (cbrt a) (cbrt a))) (/ (cbrt (/ 1 (* (+ a b) 2))) (cbrt a)) (/ (* (cbrt (/ 1 (* (+ a b) 2))) (cbrt (/ 1 (* (+ a b) 2)))) (sqrt a)) (/ (cbrt (/ 1 (* (+ a b) 2))) (sqrt a)) (/ (* (cbrt (/ 1 (* (+ a b) 2))) (cbrt (/ 1 (* (+ a b) 2)))) 1) (/ (cbrt (/ 1 (* (+ a b) 2))) a) (/ (sqrt (/ 1 (* (+ a b) 2))) (* (cbrt a) (cbrt a))) (/ (sqrt (/ 1 (* (+ a b) 2))) (cbrt a)) (/ (sqrt (/ 1 (* (+ a b) 2))) (sqrt a)) (/ (sqrt (/ 1 (* (+ a b) 2))) (sqrt a)) (/ (sqrt (/ 1 (* (+ a b) 2))) 1) (/ (sqrt (/ 1 (* (+ a b) 2))) a) (/ (/ (* (cbrt 1) (cbrt 1)) (+ a b)) (* (cbrt a) (cbrt a))) (/ (/ (cbrt 1) 2) (cbrt a)) (/ (/ (* (cbrt 1) (cbrt 1)) (+ a b)) (sqrt a)) (/ (/ (cbrt 1) 2) (sqrt a)) (/ (/ (* (cbrt 1) (cbrt 1)) (+ a b)) 1) (/ (/ (cbrt 1) 2) a) (/ (/ (sqrt 1) (+ a b)) (* (cbrt a) (cbrt a))) (/ (/ (sqrt 1) 2) (cbrt a)) (/ (/ (sqrt 1) (+ a b)) (sqrt a)) (/ (/ (sqrt 1) 2) (sqrt a)) (/ (/ (sqrt 1) (+ a b)) 1) (/ (/ (sqrt 1) 2) a) (/ (/ 1 (+ a b)) (* (cbrt a) (cbrt a))) (/ (/ 1 2) (cbrt a)) (/ (/ 1 (+ a b)) (sqrt a)) (/ (/ 1 2) (sqrt a)) (/ (/ 1 (+ a b)) 1) (/ (/ 1 2) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (/ 1 (* (+ a b) 2)) (cbrt a)) (/ 1 (sqrt a)) (/ (/ 1 (* (+ a b) 2)) (sqrt a)) (/ 1 1) (/ (/ 1 (* (+ a b) 2)) a) (/ 1 (* (cbrt a) (cbrt a))) (/ (/ 1 (* (+ a b) 2)) (cbrt a)) (/ 1 (sqrt a)) (/ (/ 1 (* (+ a b) 2)) (sqrt a)) (/ 1 1) (/ (/ 1 (* (+ a b) 2)) a) (/ (/ 1 (* (+ (pow a 3) (pow b 3)) 2)) (* (cbrt a) (cbrt a))) (/ (+ (* a a) (- (* b b) (* a b))) (cbrt a)) (/ (/ 1 (* (+ (pow a 3) (pow b 3)) 2)) (sqrt a)) (/ (+ (* a a) (- (* b b) (* a b))) (sqrt a)) (/ (/ 1 (* (+ (pow a 3) (pow b 3)) 2)) 1) (/ (+ (* a a) (- (* b b) (* a b))) a) (/ (/ 1 (* (- (* a a) (* b b)) 2)) (* (cbrt a) (cbrt a))) (/ (- a b) (cbrt a)) (/ (/ 1 (* (- (* a a) (* b b)) 2)) (sqrt a)) (/ (- a b) (sqrt a)) (/ (/ 1 (* (- (* a a) (* b b)) 2)) 1) (/ (- a b) a) (/ 1 a) (/ a (/ 1 (* (+ a b) 2))) (/ (/ 1 (* (+ a b) 2)) (* (cbrt a) (cbrt a))) (/ (/ 1 (* (+ a b) 2)) (sqrt a)) (/ (/ 1 (* (+ a b) 2)) 1) (/ a (cbrt (/ 1 (* (+ a b) 2)))) (/ a (sqrt (/ 1 (* (+ a b) 2)))) (/ a (/ (cbrt 1) 2)) (/ a (/ (sqrt 1) 2)) (/ a (/ 1 2)) (/ a (/ 1 (* (+ a b) 2))) (/ a (/ 1 (* (+ a b) 2))) (/ a (+ (* a a) (- (* b b) (* a b)))) (/ a (- a b)) (* a (* (+ a b) 2)) 0 0 0 0 0 0 (* 1/2 (/ PI (* a b))) (* -1/2 (/ PI (* a b))) (* -1/2 (/ PI (* a b))) 0 0 0 45.185 * * [simplify]: iteration 1: (251 enodes) 45.320 * * [simplify]: iteration 2: (657 enodes) 45.689 * * [simplify]: Extracting #0: cost 125 inf + 0 45.691 * * [simplify]: Extracting #1: cost 525 inf + 44 45.698 * * [simplify]: Extracting #2: cost 640 inf + 14562 45.718 * * [simplify]: Extracting #3: cost 284 inf + 85452 45.750 * * [simplify]: Extracting #4: cost 21 inf + 142116 45.788 * * [simplify]: Extracting #5: cost 0 inf + 143063 45.824 * * [simplify]: Extracting #6: cost 0 inf + 142891 45.854 * [simplify]: Simplified to: (expm1 (/ PI (* (* 2 (+ b a)) a))) (log1p (/ PI (* (* 2 (+ b a)) a))) (/ PI (* (* 2 (+ b a)) a)) (log (/ PI (* (* 2 (+ b a)) a))) (log (/ PI (* (* 2 (+ b a)) a))) (log (/ PI (* (* 2 (+ b a)) a))) (log (/ PI (* (* 2 (+ b a)) a))) (log (/ PI (* (* 2 (+ b a)) a))) (log (/ PI (* (* 2 (+ b a)) a))) (log (/ PI (* (* 2 (+ b a)) a))) (log (/ PI (* (* 2 (+ b a)) a))) (log (/ PI (* (* 2 (+ b a)) a))) (exp (/ PI (* (* 2 (+ b a)) a))) (* (/ (* PI (* PI PI)) (* a a)) (/ (/ 1/8 (* (* (+ b a) (+ b a)) (+ b a))) a)) (* (* PI (* (* (/ (/ 1/2 (+ b a)) a) (/ (/ 1/2 (+ b a)) a)) (/ (/ 1/2 (+ b a)) a))) (* PI PI)) (* (* PI (* (* (/ (/ 1/2 (+ b a)) a) (/ (/ 1/2 (+ b a)) a)) (/ (/ 1/2 (+ b a)) a))) (* PI PI)) (* (* PI (* (* (/ (/ 1/2 (+ b a)) a) (/ (/ 1/2 (+ b a)) a)) (/ (/ 1/2 (+ b a)) a))) (* PI PI)) (* (cbrt (/ PI (* (* 2 (+ b a)) a))) (cbrt (/ PI (* (* 2 (+ b a)) a)))) (cbrt (/ PI (* (* 2 (+ b a)) a))) (* (/ PI (* (* 2 (+ b a)) a)) (* (/ PI (* (* 2 (+ b a)) a)) (/ PI (* (* 2 (+ b a)) a)))) (sqrt (/ PI (* (* 2 (+ b a)) a))) (sqrt (/ PI (* (* 2 (+ b a)) a))) (* (sqrt PI) (sqrt (/ (/ 1/2 (+ b a)) a))) (* (sqrt PI) (sqrt (/ (/ 1/2 (+ b a)) a))) (* (/ (sqrt (/ 1/2 (+ b a))) (sqrt a)) (sqrt PI)) (* (/ (sqrt (/ 1/2 (+ b a))) (sqrt a)) (sqrt PI)) (* PI (* (cbrt (/ (/ 1/2 (+ b a)) a)) (cbrt (/ (/ 1/2 (+ b a)) a)))) (* (sqrt (/ (/ 1/2 (+ b a)) a)) PI) (* (* (/ (cbrt (/ 1/2 (+ b a))) (cbrt a)) (/ (cbrt (/ 1/2 (+ b a))) (cbrt a))) PI) (/ (* PI (* (cbrt (/ 1/2 (+ b a))) (cbrt (/ 1/2 (+ b a))))) (sqrt a)) (* (cbrt (/ 1/2 (+ b a))) (* (cbrt (/ 1/2 (+ b a))) PI)) (* (/ (sqrt (/ 1/2 (+ b a))) (* (cbrt a) (cbrt a))) PI) (/ (* PI (sqrt (/ 1/2 (+ b a)))) (sqrt a)) (* (sqrt (/ 1/2 (+ b a))) PI) (/ (* PI 1) (* (* (cbrt a) (cbrt a)) (+ b a))) (/ (* (/ 1 (+ b a)) PI) (sqrt a)) (* PI (/ 1 (+ b a))) (/ (* PI 1) (* (* (cbrt a) (cbrt a)) (+ b a))) (/ (* (/ 1 (+ b a)) PI) (sqrt a)) (* PI (/ 1 (+ b a))) (/ (* PI 1) (* (* (cbrt a) (cbrt a)) (+ b a))) (/ (* (/ 1 (+ b a)) PI) (sqrt a)) (* PI (/ 1 (+ b a))) (/ PI (* (cbrt a) (cbrt a))) (/ PI (sqrt a)) PI (/ PI (* (cbrt a) (cbrt a))) (/ PI (sqrt a)) PI (* (/ PI (cbrt a)) (/ (/ 1/2 (fma b (* b b) (* a (* a a)))) (cbrt a))) (/ (* PI (/ 1/2 (fma b (* b b) (* a (* a a))))) (sqrt a)) (* PI (/ 1/2 (fma b (* b b) (* a (* a a))))) (* PI (/ (/ 1/2 (- (* a a) (* b b))) (* (cbrt a) (cbrt a)))) (/ (* PI (/ 1/2 (- (* a a) (* b b)))) (sqrt a)) (* PI (/ 1/2 (- (* a a) (* b b)))) PI (/ (/ PI 2) (+ b a)) (/ (* (cbrt PI) (/ 1/2 (+ b a))) a) (/ (sqrt PI) (* (* 2 (+ b a)) a)) (/ PI (* (* 2 (+ b a)) a)) (/ (/ PI 2) (+ b a)) (expm1 (/ (/ PI 2) (+ b a))) (log1p (/ (/ PI 2) (+ b a))) (log (/ (/ PI 2) (+ b a))) (log (/ (/ PI 2) (+ b a))) (log (/ (/ PI 2) (+ b a))) (sqrt (exp (/ PI (+ b a)))) (* (/ PI 8) (/ (/ (* PI PI) (+ b a)) (* (+ b a) (+ b a)))) (* (* (/ (/ PI 2) (+ b a)) (/ (/ PI 2) (+ b a))) (/ (/ PI 2) (+ b a))) (* (cbrt (/ (/ PI 2) (+ b a))) (cbrt (/ (/ PI 2) (+ b a)))) (cbrt (/ (/ PI 2) (+ b a))) (* (* (/ (/ PI 2) (+ b a)) (/ (/ PI 2) (+ b a))) (/ (/ PI 2) (+ b a))) (sqrt (/ (/ PI 2) (+ b a))) (sqrt (/ (/ PI 2) (+ b a))) (- PI) (* (+ b a) -2) (/ (cbrt PI) (/ (+ b a) (cbrt PI))) (/ (cbrt PI) 2) (/ (sqrt PI) (+ b a)) (/ (sqrt PI) 2) (/ 1 (+ b a)) (/ PI 2) (/ 1/2 (+ b a)) (/ (* 2 (+ b a)) PI) (/ PI (+ b a)) (/ (+ b a) (/ (cbrt PI) 2)) (/ (* 2 (+ b a)) (sqrt PI)) (/ (* 2 (+ b a)) PI) (/ (/ PI (fma b (* b b) (* a (* a a)))) 2) (/ (/ (/ PI (+ b a)) (- a b)) 2) (expm1 (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a)))) (log1p (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a)))) (* PI (* (/ 1/2 (+ b a)) (/ -1 b))) (log (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a)))) (exp (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a)))) (* (cbrt (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a)))) (cbrt (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a))))) (cbrt (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a)))) (* (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a))) (* (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a))) (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a))))) (sqrt (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a)))) (sqrt (fma (/ (/ PI 2) (+ b a)) (/ -1 b) (/ PI (* (* 2 (+ b a)) a)))) (expm1 (/ (/ 1/2 (+ b a)) a)) (log1p (/ (/ 1/2 (+ b a)) a)) (log (/ (/ 1/2 (+ b a)) a)) (log (/ (/ 1/2 (+ b a)) a)) (log (/ (/ 1/2 (+ b a)) a)) (log (/ (/ 1/2 (+ b a)) a)) (log (/ (/ 1/2 (+ b a)) a)) (log (/ (/ 1/2 (+ b a)) a)) (log (/ (/ 1/2 (+ b a)) a)) (log (/ (/ 1/2 (+ b a)) a)) (exp (/ (/ 1/2 (+ b a)) a)) (/ (/ (/ 1/8 (* (* (+ b a) (+ b a)) (+ b a))) (* a a)) a) (* (* (/ (/ 1/2 (+ b a)) a) (/ (/ 1/2 (+ b a)) a)) (/ (/ 1/2 (+ b a)) a)) (* (* (/ (/ 1/2 (+ b a)) a) (/ (/ 1/2 (+ b a)) a)) (/ (/ 1/2 (+ b a)) a)) (* (cbrt (/ (/ 1/2 (+ b a)) a)) (cbrt (/ (/ 1/2 (+ b a)) a))) (cbrt (/ (/ 1/2 (+ b a)) a)) (* (* (/ (/ 1/2 (+ b a)) a) (/ (/ 1/2 (+ b a)) a)) (/ (/ 1/2 (+ b a)) a)) (sqrt (/ (/ 1/2 (+ b a)) a)) (sqrt (/ (/ 1/2 (+ b a)) a)) (/ -1/2 (+ b a)) (- a) (* (/ (cbrt (/ 1/2 (+ b a))) (cbrt a)) (/ (cbrt (/ 1/2 (+ b a))) (cbrt a))) (/ (cbrt (/ 1/2 (+ b a))) (cbrt a)) (* (/ (cbrt (/ 1/2 (+ b a))) (sqrt a)) (cbrt (/ 1/2 (+ b a)))) (/ (cbrt (/ 1/2 (+ b a))) (sqrt a)) (* (cbrt (/ 1/2 (+ b a))) (cbrt (/ 1/2 (+ b a)))) (/ (cbrt (/ 1/2 (+ b a))) a) (/ (sqrt (/ 1/2 (+ b a))) (* (cbrt a) (cbrt a))) (/ (sqrt (/ 1/2 (+ b a))) (cbrt a)) (/ (sqrt (/ 1/2 (+ b a))) (sqrt a)) (/ (sqrt (/ 1/2 (+ b a))) (sqrt a)) (sqrt (/ 1/2 (+ b a))) (/ (sqrt (/ 1/2 (+ b a))) a) (/ (/ 1 (+ b a)) (* (cbrt a) (cbrt a))) (/ 1/2 (cbrt a)) (/ (/ 1 (+ b a)) (sqrt a)) (/ 1/2 (sqrt a)) (/ 1 (+ b a)) (/ 1/2 a) (/ (/ 1 (+ b a)) (* (cbrt a) (cbrt a))) (/ 1/2 (cbrt a)) (/ (/ 1 (+ b a)) (sqrt a)) (/ 1/2 (sqrt a)) (/ 1 (+ b a)) (/ 1/2 a) (/ (/ 1 (+ b a)) (* (cbrt a) (cbrt a))) (/ 1/2 (cbrt a)) (/ (/ 1 (+ b a)) (sqrt a)) (/ 1/2 (sqrt a)) (/ 1 (+ b a)) (/ 1/2 a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ 1/2 (+ b a)) (cbrt a)) (/ 1 (sqrt a)) (/ (/ 1/2 (+ b a)) (sqrt a)) 1 (/ (/ 1/2 (+ b a)) a) (/ (/ 1 (cbrt a)) (cbrt a)) (/ (/ 1/2 (+ b a)) (cbrt a)) (/ 1 (sqrt a)) (/ (/ 1/2 (+ b a)) (sqrt a)) 1 (/ (/ 1/2 (+ b a)) a) (/ (/ (/ 1/2 (fma b (* b b) (* a (* a a)))) (cbrt a)) (cbrt a)) (/ (fma b (- b a) (* a a)) (cbrt a)) (/ (/ 1/2 (fma b (* b b) (* a (* a a)))) (sqrt a)) (/ (fma b (- b a) (* a a)) (sqrt a)) (/ 1/2 (fma b (* b b) (* a (* a a)))) (/ (fma b (- b a) (* a a)) a) (/ (/ 1/2 (- (* a a) (* b b))) (* (cbrt a) (cbrt a))) (/ (- a b) (cbrt a)) (/ (/ 1/2 (- (* a a) (* b b))) (sqrt a)) (/ (- a b) (sqrt a)) (/ 1/2 (- (* a a) (* b b))) (/ (- a b) a) (/ 1 a) (* (* 2 (+ b a)) a) (/ (/ 1/2 (+ b a)) (* (cbrt a) (cbrt a))) (/ (/ 1/2 (+ b a)) (sqrt a)) (/ 1/2 (+ b a)) (/ a (cbrt (/ 1/2 (+ b a)))) (/ a (sqrt (/ 1/2 (+ b a)))) (* a 2) (* a 2) (* a 2) (* (* 2 (+ b a)) a) (* (* 2 (+ b a)) a) (/ a (fma b (- b a) (* a a))) (/ a (- a b)) (* (* 2 (+ b a)) a) 0 0 0 0 0 0 (* (/ PI (* a b)) 1/2) (/ (* (/ PI a) -1/2) b) (/ (* (/ PI a) -1/2) b) 0 0 0 45.881 * * * [progress]: adding candidates to table 47.973 * [progress]: [Phase 3 of 3] Extracting. 47.974 * * [regime]: Finding splitpoints for: (# # # # # # #) 47.976 * * * [regime-changes]: Trying 3 branch expressions: ((* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) b a) 47.976 * * * * [regimes]: Trying to branch on (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) from (# # # # # # #) 48.041 * * * * [regimes]: Trying to branch on b from (# # # # # # #) 48.098 * * * * [regimes]: Trying to branch on a from (# # # # # # #) 48.155 * * * [regime]: Found split indices: #