16.561 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.045 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying: (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) 0.049 * * [simplify]: iteration 0: 15 enodes 0.052 * * [simplify]: iteration 1: 31 enodes 0.058 * * [simplify]: iteration 2: 90 enodes 0.088 * * [simplify]: iteration 3: 385 enodes 0.479 * * [simplify]: iteration 4: 1848 enodes 2.055 * * [simplify]: iteration complete: 5000 enodes 2.055 * * [simplify]: Extracting #0: cost 1 inf + 0 2.056 * * [simplify]: Extracting #1: cost 270 inf + 0 2.061 * * [simplify]: Extracting #2: cost 888 inf + 254 2.082 * * [simplify]: Extracting #3: cost 906 inf + 31096 2.147 * * [simplify]: Extracting #4: cost 178 inf + 189654 2.246 * * [simplify]: Extracting #5: cost 9 inf + 232985 2.358 * * [simplify]: Extracting #6: cost 0 inf + 235660 2.429 * [simplify]: Simplified to: (/ (* (/ (/ PI 2.0) (- b a)) 1.0) (/ (+ a b) (- (/ 1.0 a) (/ 1.0 b)))) 2.430 * * [progress]: iteration 1 / 4 2.430 * * * [progress]: picking best candidate 2.434 * * * * [pick]: Picked # 2.434 * * * [progress]: localizing error 2.457 * * * [progress]: generating rewritten candidates 2.457 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 2.620 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 2.629 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 2.649 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 2.798 * * * [progress]: generating series expansions 2.798 * * * * [progress]: [ 1 / 4 ] generating series at (2) 2.800 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) 2.800 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in (b a) around 0 2.800 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in a 2.800 * [taylor]: Taking taylor expansion of 0.5 in a 2.800 * [backup-simplify]: Simplify 0.5 into 0.5 2.800 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in a 2.800 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 2.800 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 2.800 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 2.800 * [taylor]: Taking taylor expansion of 1.0 in a 2.800 * [backup-simplify]: Simplify 1.0 into 1.0 2.800 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.800 * [taylor]: Taking taylor expansion of a in a 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (/ 1 1) into 1 2.801 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 2.801 * [taylor]: Taking taylor expansion of 1.0 in a 2.801 * [backup-simplify]: Simplify 1.0 into 1.0 2.801 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.801 * [taylor]: Taking taylor expansion of b in a 2.801 * [backup-simplify]: Simplify b into b 2.801 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.801 * [taylor]: Taking taylor expansion of PI in a 2.801 * [backup-simplify]: Simplify PI into PI 2.801 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.801 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.801 * [taylor]: Taking taylor expansion of b in a 2.801 * [backup-simplify]: Simplify b into b 2.801 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.801 * [taylor]: Taking taylor expansion of a in a 2.801 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify 1 into 1 2.802 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.802 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.803 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 2.803 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.803 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.804 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 2.804 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.804 * [taylor]: Taking taylor expansion of 0.5 in b 2.804 * [backup-simplify]: Simplify 0.5 into 0.5 2.804 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.804 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.804 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.804 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.804 * [taylor]: Taking taylor expansion of 1.0 in b 2.804 * [backup-simplify]: Simplify 1.0 into 1.0 2.804 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.804 * [taylor]: Taking taylor expansion of a in b 2.804 * [backup-simplify]: Simplify a into a 2.804 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.804 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.804 * [taylor]: Taking taylor expansion of 1.0 in b 2.804 * [backup-simplify]: Simplify 1.0 into 1.0 2.804 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.804 * [taylor]: Taking taylor expansion of b in b 2.804 * [backup-simplify]: Simplify 0 into 0 2.804 * [backup-simplify]: Simplify 1 into 1 2.804 * [backup-simplify]: Simplify (/ 1 1) into 1 2.805 * [taylor]: Taking taylor expansion of PI in b 2.805 * [backup-simplify]: Simplify PI into PI 2.805 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.805 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.805 * [taylor]: Taking taylor expansion of b in b 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 1 into 1 2.805 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.805 * [taylor]: Taking taylor expansion of a in b 2.805 * [backup-simplify]: Simplify a into a 2.805 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.806 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.806 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.807 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 2.808 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.808 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.808 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.809 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 2.809 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2)))) in b 2.809 * [taylor]: Taking taylor expansion of 0.5 in b 2.809 * [backup-simplify]: Simplify 0.5 into 0.5 2.809 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (- (pow b 2) (pow a 2))) in b 2.809 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 2.809 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 2.809 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 2.809 * [taylor]: Taking taylor expansion of 1.0 in b 2.809 * [backup-simplify]: Simplify 1.0 into 1.0 2.809 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.809 * [taylor]: Taking taylor expansion of a in b 2.809 * [backup-simplify]: Simplify a into a 2.809 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.809 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 2.809 * [taylor]: Taking taylor expansion of 1.0 in b 2.809 * [backup-simplify]: Simplify 1.0 into 1.0 2.809 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.809 * [taylor]: Taking taylor expansion of b in b 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (/ 1 1) into 1 2.810 * [taylor]: Taking taylor expansion of PI in b 2.810 * [backup-simplify]: Simplify PI into PI 2.810 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.810 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.810 * [taylor]: Taking taylor expansion of b in b 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.810 * [taylor]: Taking taylor expansion of a in b 2.810 * [backup-simplify]: Simplify a into a 2.810 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 2.811 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.812 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.813 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 2.813 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.813 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.813 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.814 * [backup-simplify]: Simplify (/ (* -1.0 PI) (- (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 2.814 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow a 2)))) into (* 0.5 (/ PI (pow a 2))) 2.814 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 2.814 * [taylor]: Taking taylor expansion of 0.5 in a 2.814 * [backup-simplify]: Simplify 0.5 into 0.5 2.814 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 2.814 * [taylor]: Taking taylor expansion of PI in a 2.814 * [backup-simplify]: Simplify PI into PI 2.814 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.814 * [taylor]: Taking taylor expansion of a in a 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.815 * [backup-simplify]: Simplify (* 1 1) into 1 2.815 * [backup-simplify]: Simplify (/ PI 1) into PI 2.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify (* 1.0 (/ 1 a)) into (/ 1.0 a) 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 2.820 * [backup-simplify]: Simplify (- 0) into 0 2.820 * [backup-simplify]: Simplify (+ (/ 1.0 a) 0) into (* 1.0 (/ 1 a)) 2.820 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (* (* 1.0 (/ 1 a)) PI)) into (* 1.0 (/ PI a)) 2.820 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.821 * [backup-simplify]: Simplify (- 0) into 0 2.821 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify (- (/ (* 1.0 (/ PI a)) (- (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into (- (* 1.0 (/ PI (pow a 3)))) 2.822 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2))))) into (- (* 0.5 (/ PI (pow a 3)))) 2.822 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 3)))) in a 2.822 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 3))) in a 2.822 * [taylor]: Taking taylor expansion of 0.5 in a 2.823 * [backup-simplify]: Simplify 0.5 into 0.5 2.823 * [taylor]: Taking taylor expansion of (/ PI (pow a 3)) in a 2.823 * [taylor]: Taking taylor expansion of PI in a 2.823 * [backup-simplify]: Simplify PI into PI 2.823 * [taylor]: Taking taylor expansion of (pow a 3) in a 2.823 * [taylor]: Taking taylor expansion of a in a 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (* 1 1) into 1 2.823 * [backup-simplify]: Simplify (* 1 1) into 1 2.824 * [backup-simplify]: Simplify (/ PI 1) into PI 2.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.830 * [backup-simplify]: Simplify (- 0) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.833 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 2.834 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 a))) into 0 2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.836 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 2.837 * [backup-simplify]: Simplify (- 0) into 0 2.837 * [backup-simplify]: Simplify (+ 0 0) into 0 2.838 * [backup-simplify]: Simplify (+ (* (- 1.0) 0) (+ (* (* 1.0 (/ 1 a)) 0) (* 0 PI))) into 0 2.839 * [backup-simplify]: Simplify (* 1 1) into 1 2.839 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.840 * [backup-simplify]: Simplify (- 0) into 0 2.840 * [backup-simplify]: Simplify (+ 1 0) into 1 2.841 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* 1.0 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* (- (* 1.0 (/ PI (pow a 3)))) (/ 0 (- (pow a 2)))))) into (* 1.0 (/ PI (pow a 4))) 2.842 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow a 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow a 3))))) (* 0 (* 1.0 (/ PI (pow a 2)))))) into (* 0.5 (/ PI (pow a 4))) 2.842 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 2.842 * [taylor]: Taking taylor expansion of 0.5 in a 2.842 * [backup-simplify]: Simplify 0.5 into 0.5 2.842 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 2.842 * [taylor]: Taking taylor expansion of PI in a 2.842 * [backup-simplify]: Simplify PI into PI 2.842 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.842 * [taylor]: Taking taylor expansion of a in a 2.842 * [backup-simplify]: Simplify 0 into 0 2.842 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (* 1 1) into 1 2.843 * [backup-simplify]: Simplify (* 1 1) into 1 2.843 * [backup-simplify]: Simplify (/ PI 1) into PI 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.847 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.853 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.858 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.858 * [backup-simplify]: Simplify (- 0) into 0 2.858 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.861 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 2.863 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.863 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.863 * [taylor]: Taking taylor expansion of 0.5 in a 2.863 * [backup-simplify]: Simplify 0.5 into 0.5 2.863 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.863 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 2.863 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 2.863 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.863 * [taylor]: Taking taylor expansion of 1.0 in a 2.863 * [backup-simplify]: Simplify 1.0 into 1.0 2.863 * [taylor]: Taking taylor expansion of a in a 2.863 * [backup-simplify]: Simplify 0 into 0 2.863 * [backup-simplify]: Simplify 1 into 1 2.863 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.863 * [taylor]: Taking taylor expansion of 1.0 in a 2.863 * [backup-simplify]: Simplify 1.0 into 1.0 2.863 * [taylor]: Taking taylor expansion of b in a 2.863 * [backup-simplify]: Simplify b into b 2.863 * [taylor]: Taking taylor expansion of PI in a 2.863 * [backup-simplify]: Simplify PI into PI 2.863 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.863 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.863 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.863 * [taylor]: Taking taylor expansion of b in a 2.863 * [backup-simplify]: Simplify b into b 2.863 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.863 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.864 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.864 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.864 * [taylor]: Taking taylor expansion of a in a 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify (* 1 1) into 1 2.864 * [backup-simplify]: Simplify (/ 1 1) into 1 2.865 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.865 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 2.865 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 2.865 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 2.865 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 2.866 * [backup-simplify]: Simplify (- 1) into -1 2.866 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.866 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 2.866 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.866 * [taylor]: Taking taylor expansion of 0.5 in b 2.866 * [backup-simplify]: Simplify 0.5 into 0.5 2.866 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.866 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.866 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.866 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.866 * [taylor]: Taking taylor expansion of 1.0 in b 2.866 * [backup-simplify]: Simplify 1.0 into 1.0 2.866 * [taylor]: Taking taylor expansion of a in b 2.866 * [backup-simplify]: Simplify a into a 2.867 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.867 * [taylor]: Taking taylor expansion of 1.0 in b 2.867 * [backup-simplify]: Simplify 1.0 into 1.0 2.867 * [taylor]: Taking taylor expansion of b in b 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [taylor]: Taking taylor expansion of PI in b 2.867 * [backup-simplify]: Simplify PI into PI 2.867 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.867 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.867 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.867 * [taylor]: Taking taylor expansion of b in b 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 1 into 1 2.867 * [backup-simplify]: Simplify (* 1 1) into 1 2.868 * [backup-simplify]: Simplify (/ 1 1) into 1 2.868 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.868 * [taylor]: Taking taylor expansion of (pow a 2) 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 (* a a) into (pow a 2) 2.868 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.868 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.868 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.869 * [backup-simplify]: Simplify (- 0) into 0 2.869 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 2.869 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 2.869 * [backup-simplify]: Simplify (+ 1 0) into 1 2.869 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 2.869 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.870 * [taylor]: Taking taylor expansion of 0.5 in b 2.870 * [backup-simplify]: Simplify 0.5 into 0.5 2.870 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.870 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 2.870 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 2.870 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.870 * [taylor]: Taking taylor expansion of 1.0 in b 2.870 * [backup-simplify]: Simplify 1.0 into 1.0 2.870 * [taylor]: Taking taylor expansion of a in b 2.870 * [backup-simplify]: Simplify a into a 2.870 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.870 * [taylor]: Taking taylor expansion of 1.0 in b 2.870 * [backup-simplify]: Simplify 1.0 into 1.0 2.870 * [taylor]: Taking taylor expansion of b in b 2.870 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify 1 into 1 2.870 * [taylor]: Taking taylor expansion of PI in b 2.870 * [backup-simplify]: Simplify PI into PI 2.870 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.870 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.870 * [taylor]: Taking taylor expansion of b in b 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 2.871 * [backup-simplify]: Simplify (/ 1 1) into 1 2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.871 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.871 * [taylor]: Taking taylor expansion of a in b 2.871 * [backup-simplify]: Simplify a into a 2.871 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.871 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.871 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.872 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.872 * [backup-simplify]: Simplify (- 0) into 0 2.872 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 2.872 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 2.873 * [backup-simplify]: Simplify (+ 1 0) into 1 2.873 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 2.873 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* a PI))) into (* 0.5 (* a PI)) 2.873 * [taylor]: Taking taylor expansion of (* 0.5 (* a PI)) in a 2.873 * [taylor]: Taking taylor expansion of 0.5 in a 2.873 * [backup-simplify]: Simplify 0.5 into 0.5 2.873 * [taylor]: Taking taylor expansion of (* a PI) in a 2.873 * [taylor]: Taking taylor expansion of a in a 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.873 * [taylor]: Taking taylor expansion of PI in a 2.873 * [backup-simplify]: Simplify PI into PI 2.874 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.876 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.876 * [backup-simplify]: Simplify (* 0 PI) into 0 2.877 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 2.879 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.880 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 2.881 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 2.882 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (* (- 1.0) PI)) into (- (* 1.0 PI)) 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ 0 0) into 0 2.886 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* a PI)) (/ 0 1)))) into (- (* 1.0 PI)) 2.888 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI)))) into (- (* 0.5 PI)) 2.888 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in a 2.888 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.888 * [taylor]: Taking taylor expansion of 0.5 in a 2.888 * [backup-simplify]: Simplify 0.5 into 0.5 2.888 * [taylor]: Taking taylor expansion of PI in a 2.888 * [backup-simplify]: Simplify PI into PI 2.889 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.889 * [backup-simplify]: Simplify (- 0) into 0 2.889 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.892 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 2.894 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.894 * [backup-simplify]: Simplify (- 0) into 0 2.894 * [backup-simplify]: Simplify (+ 0 0) into 0 2.895 * [backup-simplify]: Simplify (+ (* (* 1.0 a) 0) (+ (* (- 1.0) 0) (* 0 PI))) into 0 2.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.898 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.898 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI a)) 2.901 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI a))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* a PI))))) into (* 0.5 (/ PI a)) 2.901 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.901 * [taylor]: Taking taylor expansion of 0.5 in a 2.901 * [backup-simplify]: Simplify 0.5 into 0.5 2.901 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.901 * [taylor]: Taking taylor expansion of PI in a 2.901 * [backup-simplify]: Simplify PI into PI 2.901 * [taylor]: Taking taylor expansion of a in a 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 2.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.905 * [backup-simplify]: Simplify (- 0) into 0 2.905 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.906 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (* (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 2.907 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 2.907 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 2.907 * [taylor]: Taking taylor expansion of 0.5 in a 2.907 * [backup-simplify]: Simplify 0.5 into 0.5 2.907 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 2.907 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 2.907 * [taylor]: Taking taylor expansion of PI in a 2.907 * [backup-simplify]: Simplify PI into PI 2.907 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 2.907 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 2.907 * [taylor]: Taking taylor expansion of 1.0 in a 2.907 * [backup-simplify]: Simplify 1.0 into 1.0 2.907 * [taylor]: Taking taylor expansion of b in a 2.907 * [backup-simplify]: Simplify b into b 2.907 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 2.907 * [taylor]: Taking taylor expansion of 1.0 in a 2.907 * [backup-simplify]: Simplify 1.0 into 1.0 2.907 * [taylor]: Taking taylor expansion of a in a 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.907 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.907 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.907 * [taylor]: Taking taylor expansion of b in a 2.907 * [backup-simplify]: Simplify b into b 2.908 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.908 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.908 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.908 * [taylor]: Taking taylor expansion of a in a 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (* 1 1) into 1 2.908 * [backup-simplify]: Simplify (/ 1 1) into 1 2.908 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 2.909 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.909 * [backup-simplify]: Simplify (- 0) into 0 2.909 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 2.909 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 2.909 * [backup-simplify]: Simplify (- 1) into -1 2.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.909 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) -1) into (* -1.0 (* PI b)) 2.909 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.910 * [taylor]: Taking taylor expansion of 0.5 in b 2.910 * [backup-simplify]: Simplify 0.5 into 0.5 2.910 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.910 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 2.910 * [taylor]: Taking taylor expansion of PI in b 2.910 * [backup-simplify]: Simplify PI into PI 2.910 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.910 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.910 * [taylor]: Taking taylor expansion of 1.0 in b 2.910 * [backup-simplify]: Simplify 1.0 into 1.0 2.910 * [taylor]: Taking taylor expansion of b in b 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.910 * [taylor]: Taking taylor expansion of 1.0 in b 2.910 * [backup-simplify]: Simplify 1.0 into 1.0 2.910 * [taylor]: Taking taylor expansion of a in b 2.910 * [backup-simplify]: Simplify a into a 2.910 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.910 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.910 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.910 * [taylor]: Taking taylor expansion of b in b 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (* 1 1) into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.910 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.910 * [taylor]: Taking taylor expansion of a in b 2.910 * [backup-simplify]: Simplify a into a 2.910 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.911 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.911 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.911 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.911 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 2.911 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 2.911 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 2.911 * [backup-simplify]: Simplify (+ 1 0) into 1 2.911 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 2.912 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 2.912 * [taylor]: Taking taylor expansion of 0.5 in b 2.912 * [backup-simplify]: Simplify 0.5 into 0.5 2.912 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 2.912 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 2.912 * [taylor]: Taking taylor expansion of PI in b 2.912 * [backup-simplify]: Simplify PI into PI 2.912 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 2.912 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 2.912 * [taylor]: Taking taylor expansion of 1.0 in b 2.912 * [backup-simplify]: Simplify 1.0 into 1.0 2.912 * [taylor]: Taking taylor expansion of b in b 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 2.912 * [taylor]: Taking taylor expansion of 1.0 in b 2.912 * [backup-simplify]: Simplify 1.0 into 1.0 2.912 * [taylor]: Taking taylor expansion of a in b 2.912 * [backup-simplify]: Simplify a into a 2.912 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.912 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.912 * [taylor]: Taking taylor expansion of b in b 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (* 1 1) into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.912 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.912 * [taylor]: Taking taylor expansion of a in b 2.912 * [backup-simplify]: Simplify a into a 2.912 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.913 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.913 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.913 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 2.913 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 2.913 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 2.913 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 2.913 * [backup-simplify]: Simplify (+ 1 0) into 1 2.913 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 2.914 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (* a PI))) into (* -0.5 (* a PI)) 2.914 * [taylor]: Taking taylor expansion of (* -0.5 (* a PI)) in a 2.914 * [taylor]: Taking taylor expansion of -0.5 in a 2.914 * [backup-simplify]: Simplify -0.5 into -0.5 2.914 * [taylor]: Taking taylor expansion of (* a PI) in a 2.914 * [taylor]: Taking taylor expansion of a in a 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [taylor]: Taking taylor expansion of PI in a 2.914 * [backup-simplify]: Simplify PI into PI 2.914 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.915 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.916 * [backup-simplify]: Simplify (* 0 PI) into 0 2.916 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 2.917 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 a)) into 0 2.918 * [backup-simplify]: Simplify (- 0) into 0 2.918 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.918 * [backup-simplify]: Simplify (+ (* PI 1.0) (* 0 (- (* 1.0 a)))) into (* 1.0 PI) 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.923 * [backup-simplify]: Simplify (+ 0 0) into 0 2.924 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* a PI)) (/ 0 1)))) into (* 1.0 PI) 2.925 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 PI)) (* 0 (* -1.0 (* a PI)))) into (* 0.5 PI) 2.925 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 2.925 * [taylor]: Taking taylor expansion of 0.5 in a 2.925 * [backup-simplify]: Simplify 0.5 into 0.5 2.925 * [taylor]: Taking taylor expansion of PI in a 2.925 * [backup-simplify]: Simplify PI into PI 2.926 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.927 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.927 * [backup-simplify]: Simplify 0 into 0 2.928 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 2.928 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 a))) into 0 2.928 * [backup-simplify]: Simplify (- 0) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.930 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1.0) (* 0 (- (* 1.0 a))))) into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.932 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* a PI)) (/ (- (/ 1 (pow a 2))) 1)) (* (* 1.0 PI) (/ 0 1)))) into (- (* 1.0 (/ PI a))) 2.934 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI a)))) (+ (* 0 (* 1.0 PI)) (* 0 (* -1.0 (* a PI))))) into (- (* 0.5 (/ PI a))) 2.934 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI a))) in a 2.934 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI a)) in a 2.935 * [taylor]: Taking taylor expansion of 0.5 in a 2.935 * [backup-simplify]: Simplify 0.5 into 0.5 2.935 * [taylor]: Taking taylor expansion of (/ PI a) in a 2.935 * [taylor]: Taking taylor expansion of PI in a 2.935 * [backup-simplify]: Simplify PI into PI 2.935 * [taylor]: Taking taylor expansion of a in a 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (/ PI 1) into PI 2.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.939 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.940 * [backup-simplify]: Simplify (- 0) into 0 2.940 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.941 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.944 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 2.944 * [backup-simplify]: Simplify (- (* b b) (* a a)) into (- (pow b 2) (pow a 2)) 2.944 * [approximate]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in (b a) around 0 2.944 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.944 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.944 * [taylor]: Taking taylor expansion of b in a 2.944 * [backup-simplify]: Simplify b into b 2.944 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.944 * [taylor]: Taking taylor expansion of a in a 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.945 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.945 * [taylor]: Taking taylor expansion of b in b 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.945 * [taylor]: Taking taylor expansion of a in b 2.945 * [backup-simplify]: Simplify a into a 2.945 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.945 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.945 * [taylor]: Taking taylor expansion of b in b 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.945 * [taylor]: Taking taylor expansion of a in b 2.945 * [backup-simplify]: Simplify a into a 2.945 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.945 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.945 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.945 * [taylor]: Taking taylor expansion of (- (pow a 2)) in a 2.945 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.945 * [taylor]: Taking taylor expansion of a in a 2.946 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify 1 into 1 2.946 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.946 * [backup-simplify]: Simplify (- 0) into 0 2.946 * [backup-simplify]: Simplify (+ 0 0) into 0 2.946 * [taylor]: Taking taylor expansion of 0 in a 2.946 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify 0 into 0 2.947 * [backup-simplify]: Simplify (* 1 1) into 1 2.947 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.948 * [backup-simplify]: Simplify (- 0) into 0 2.948 * [backup-simplify]: Simplify (+ 1 0) into 1 2.948 * [taylor]: Taking taylor expansion of 1 in a 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify (* 1 1) into 1 2.949 * [backup-simplify]: Simplify (- 1) into -1 2.949 * [backup-simplify]: Simplify -1 into -1 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.951 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 2.951 * [backup-simplify]: Simplify (- 0) into 0 2.951 * [backup-simplify]: Simplify (+ 0 0) into 0 2.951 * [taylor]: Taking taylor expansion of 0 in a 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.953 * [backup-simplify]: Simplify (- 0) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.955 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 2.955 * [backup-simplify]: Simplify (- 0) into 0 2.955 * [backup-simplify]: Simplify (+ 0 0) into 0 2.955 * [taylor]: Taking taylor expansion of 0 in a 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify 0 into 0 2.956 * [backup-simplify]: Simplify (+ (* -1 (pow (* a 1) 2)) (* 1 (pow (* 1 b) 2))) into (- (pow b 2) (pow a 2)) 2.956 * [backup-simplify]: Simplify (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.956 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.956 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.956 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.956 * [taylor]: Taking taylor expansion of b in a 2.956 * [backup-simplify]: Simplify b into b 2.956 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.957 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.957 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.957 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.957 * [taylor]: Taking taylor expansion of a in a 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [backup-simplify]: Simplify (* 1 1) into 1 2.958 * [backup-simplify]: Simplify (/ 1 1) into 1 2.958 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.958 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.958 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.958 * [taylor]: Taking taylor expansion of b in b 2.958 * [backup-simplify]: Simplify 0 into 0 2.958 * [backup-simplify]: Simplify 1 into 1 2.958 * [backup-simplify]: Simplify (* 1 1) into 1 2.959 * [backup-simplify]: Simplify (/ 1 1) into 1 2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.959 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.959 * [taylor]: Taking taylor expansion of a in b 2.959 * [backup-simplify]: Simplify a into a 2.959 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.959 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.959 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.959 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.959 * [taylor]: Taking taylor expansion of b in b 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (* 1 1) into 1 2.960 * [backup-simplify]: Simplify (/ 1 1) into 1 2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.960 * [taylor]: Taking taylor expansion of (pow a 2) 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 (* a a) into (pow a 2) 2.960 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.961 * [backup-simplify]: Simplify (+ 1 0) into 1 2.961 * [taylor]: Taking taylor expansion of 1 in a 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.962 * [taylor]: Taking taylor expansion of 0 in a 2.962 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.963 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.963 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.963 * [taylor]: Taking taylor expansion of (pow a 2) 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 2.964 * [backup-simplify]: Simplify (* 1 1) into 1 2.964 * [backup-simplify]: Simplify (/ 1 1) into 1 2.964 * [backup-simplify]: Simplify (- 1) into -1 2.964 * [backup-simplify]: Simplify -1 into -1 2.964 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.965 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.966 * [backup-simplify]: Simplify (- 0) into 0 2.966 * [backup-simplify]: Simplify (+ 0 0) into 0 2.966 * [taylor]: Taking taylor expansion of 0 in a 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (- 0) into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.969 * [backup-simplify]: Simplify (- 0) into 0 2.969 * [backup-simplify]: Simplify (+ 0 0) into 0 2.969 * [taylor]: Taking taylor expansion of 0 in a 2.969 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.971 * [backup-simplify]: Simplify (- 0) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 b))) 2)) (* -1 (pow (* (/ 1 (/ 1 a)) 1) 2))) into (- (pow b 2) (pow a 2)) 2.971 * [backup-simplify]: Simplify (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) into (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) 2.971 * [approximate]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in (b a) around 0 2.971 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 2.971 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 2.971 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.971 * [taylor]: Taking taylor expansion of b in a 2.971 * [backup-simplify]: Simplify b into b 2.971 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.972 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.972 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.972 * [taylor]: Taking taylor expansion of a in a 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.972 * [backup-simplify]: Simplify (* 1 1) into 1 2.972 * [backup-simplify]: Simplify (/ 1 1) into 1 2.972 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.972 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.972 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.972 * [taylor]: Taking taylor expansion of b in b 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (* 1 1) into 1 2.973 * [backup-simplify]: Simplify (/ 1 1) into 1 2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.973 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.973 * [taylor]: Taking taylor expansion of a in b 2.973 * [backup-simplify]: Simplify a into a 2.973 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.973 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.973 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 2.973 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.973 * [taylor]: Taking taylor expansion of b in b 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.973 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 2.974 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.974 * [taylor]: Taking taylor expansion of a in b 2.974 * [backup-simplify]: Simplify a into a 2.974 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.974 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 2.974 * [backup-simplify]: Simplify (+ 1 0) into 1 2.974 * [taylor]: Taking taylor expansion of 1 in a 2.974 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.975 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [taylor]: Taking taylor expansion of 0 in a 2.975 * [backup-simplify]: Simplify 0 into 0 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 2.977 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 2.977 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 2.977 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 2.977 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.977 * [taylor]: Taking taylor expansion of a in a 2.977 * [backup-simplify]: Simplify 0 into 0 2.977 * [backup-simplify]: Simplify 1 into 1 2.977 * [backup-simplify]: Simplify (* 1 1) into 1 2.977 * [backup-simplify]: Simplify (/ 1 1) into 1 2.978 * [backup-simplify]: Simplify (- 1) into -1 2.978 * [backup-simplify]: Simplify -1 into -1 2.978 * [backup-simplify]: Simplify 1 into 1 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))))) into 0 2.979 * [backup-simplify]: Simplify (- 0) into 0 2.980 * [backup-simplify]: Simplify (+ 0 0) into 0 2.980 * [taylor]: Taking taylor expansion of 0 in a 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (- 0) into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow a 2)) (/ 0 (pow a 2))) (* 0 (/ 0 (pow a 2))))) into 0 2.983 * [backup-simplify]: Simplify (- 0) into 0 2.983 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [taylor]: Taking taylor expansion of 0 in a 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify (- 0) into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- b)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- a))) 1) 2))) into (- (pow b 2) (pow a 2)) 2.985 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.985 * [backup-simplify]: Simplify (/ 1.0 (- (* b b) (* a a))) into (/ 1.0 (- (pow b 2) (pow a 2))) 2.985 * [approximate]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in (b a) around 0 2.985 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in a 2.985 * [taylor]: Taking taylor expansion of 1.0 in a 2.985 * [backup-simplify]: Simplify 1.0 into 1.0 2.985 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in a 2.986 * [taylor]: Taking taylor expansion of (pow b 2) in a 2.986 * [taylor]: Taking taylor expansion of b in a 2.986 * [backup-simplify]: Simplify b into b 2.986 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.986 * [taylor]: Taking taylor expansion of a in a 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (* b b) into (pow b 2) 2.986 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 2.986 * [backup-simplify]: Simplify (/ 1.0 (pow b 2)) into (/ 1.0 (pow b 2)) 2.986 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.986 * [taylor]: Taking taylor expansion of 1.0 in b 2.986 * [backup-simplify]: Simplify 1.0 into 1.0 2.986 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.986 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.986 * [taylor]: Taking taylor expansion of b in b 2.986 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify 1 into 1 2.986 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.986 * [taylor]: Taking taylor expansion of a in b 2.986 * [backup-simplify]: Simplify a into a 2.986 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.986 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.986 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.986 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 2.986 * [taylor]: Taking taylor expansion of (/ 1.0 (- (pow b 2) (pow a 2))) in b 2.986 * [taylor]: Taking taylor expansion of 1.0 in b 2.986 * [backup-simplify]: Simplify 1.0 into 1.0 2.986 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 2.986 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.986 * [taylor]: Taking taylor expansion of b in b 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [taylor]: Taking taylor expansion of (pow a 2) in b 2.987 * [taylor]: Taking taylor expansion of a in b 2.987 * [backup-simplify]: Simplify a into a 2.987 * [backup-simplify]: Simplify (* a a) into (pow a 2) 2.987 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 2.987 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 2.987 * [backup-simplify]: Simplify (/ 1.0 (- (pow a 2))) into (/ -1.0 (pow a 2)) 2.987 * [taylor]: Taking taylor expansion of (/ -1.0 (pow a 2)) in a 2.987 * [taylor]: Taking taylor expansion of -1.0 in a 2.987 * [backup-simplify]: Simplify -1.0 into -1.0 2.987 * [taylor]: Taking taylor expansion of (pow a 2) in a 2.987 * [taylor]: Taking taylor expansion of a in a 2.987 * [backup-simplify]: Simplify 0 into 0 2.987 * [backup-simplify]: Simplify 1 into 1 2.987 * [backup-simplify]: Simplify (* 1 1) into 1 2.988 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 2.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.989 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 2.990 * [backup-simplify]: Simplify (- 0) into 0 2.990 * [backup-simplify]: Simplify (+ 0 0) into 0 2.991 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 0 (- (pow a 2)))))) into 0 2.991 * [taylor]: Taking taylor expansion of 0 in a 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify (* 1 1) into 1 2.993 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 2.993 * [backup-simplify]: Simplify (- 0) into 0 2.993 * [backup-simplify]: Simplify (+ 1 0) into 1 2.994 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (/ -1.0 (pow a 2)) (/ 1 (- (pow a 2)))) (* 0 (/ 0 (- (pow a 2)))))) into (- (* 1.0 (/ 1 (pow a 4)))) 2.994 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 4)))) in a 2.994 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 4))) in a 2.994 * [taylor]: Taking taylor expansion of 1.0 in a 2.994 * [backup-simplify]: Simplify 1.0 into 1.0 2.994 * [taylor]: Taking taylor expansion of (/ 1 (pow a 4)) in a 2.994 * [taylor]: Taking taylor expansion of (pow a 4) in a 2.994 * [taylor]: Taking taylor expansion of a in a 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (* 1 1) into 1 2.994 * [backup-simplify]: Simplify (* 1 1) into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.002 * [backup-simplify]: Simplify (- 0) into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a)))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 3.003 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 3.003 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 3.003 * [taylor]: Taking taylor expansion of 1.0 in a 3.003 * [backup-simplify]: Simplify 1.0 into 1.0 3.003 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.003 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.003 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.003 * [taylor]: Taking taylor expansion of b in a 3.003 * [backup-simplify]: Simplify b into b 3.003 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.004 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.004 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.004 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.004 * [taylor]: Taking taylor expansion of a in a 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify 1 into 1 3.004 * [backup-simplify]: Simplify (* 1 1) into 1 3.004 * [backup-simplify]: Simplify (/ 1 1) into 1 3.004 * [backup-simplify]: Simplify (- 1) into -1 3.005 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.005 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 3.005 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.005 * [taylor]: Taking taylor expansion of 1.0 in b 3.005 * [backup-simplify]: Simplify 1.0 into 1.0 3.005 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.005 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.005 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.005 * [taylor]: Taking taylor expansion of b in b 3.005 * [backup-simplify]: Simplify 0 into 0 3.005 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (* 1 1) into 1 3.006 * [backup-simplify]: Simplify (/ 1 1) into 1 3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.006 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.006 * [taylor]: Taking taylor expansion of a in b 3.006 * [backup-simplify]: Simplify a into a 3.006 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.006 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.007 * [backup-simplify]: Simplify (+ 1 0) into 1 3.007 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.007 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.007 * [taylor]: Taking taylor expansion of 1.0 in b 3.007 * [backup-simplify]: Simplify 1.0 into 1.0 3.007 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.007 * [taylor]: Taking taylor expansion of (pow b 2) 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 3.008 * [backup-simplify]: Simplify (* 1 1) into 1 3.008 * [backup-simplify]: Simplify (/ 1 1) into 1 3.008 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.008 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.008 * [taylor]: Taking taylor expansion of a in b 3.008 * [backup-simplify]: Simplify a into a 3.008 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.009 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.009 * [backup-simplify]: Simplify (+ 1 0) into 1 3.009 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.010 * [taylor]: Taking taylor expansion of 1.0 in a 3.010 * [backup-simplify]: Simplify 1.0 into 1.0 3.010 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (+ 0 0) into 0 3.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 3.012 * [taylor]: Taking taylor expansion of 0 in a 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.015 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 3.016 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 3.016 * [taylor]: Taking taylor expansion of 1.0 in a 3.016 * [backup-simplify]: Simplify 1.0 into 1.0 3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.016 * [taylor]: Taking taylor expansion of (pow a 2) 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 3.017 * [backup-simplify]: Simplify (* 1 1) into 1 3.017 * [backup-simplify]: Simplify (/ 1 1) into 1 3.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify 0 into 0 3.026 * [backup-simplify]: Simplify (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a))))) into (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) 3.026 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in (b a) around 0 3.026 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 3.026 * [taylor]: Taking taylor expansion of 1.0 in a 3.026 * [backup-simplify]: Simplify 1.0 into 1.0 3.026 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.027 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.027 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.027 * [taylor]: Taking taylor expansion of b in a 3.027 * [backup-simplify]: Simplify b into b 3.027 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.027 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.027 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.027 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.027 * [taylor]: Taking taylor expansion of a in a 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify 1 into 1 3.027 * [backup-simplify]: Simplify (* 1 1) into 1 3.028 * [backup-simplify]: Simplify (/ 1 1) into 1 3.028 * [backup-simplify]: Simplify (- 1) into -1 3.029 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.029 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 3.029 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.029 * [taylor]: Taking taylor expansion of 1.0 in b 3.029 * [backup-simplify]: Simplify 1.0 into 1.0 3.029 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.029 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.029 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.029 * [taylor]: Taking taylor expansion of b in b 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 1 into 1 3.030 * [backup-simplify]: Simplify (* 1 1) into 1 3.030 * [backup-simplify]: Simplify (/ 1 1) into 1 3.030 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.030 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.030 * [taylor]: Taking taylor expansion of a in b 3.030 * [backup-simplify]: Simplify a into a 3.030 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.030 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.031 * [backup-simplify]: Simplify (+ 1 0) into 1 3.031 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.031 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.031 * [taylor]: Taking taylor expansion of 1.0 in b 3.031 * [backup-simplify]: Simplify 1.0 into 1.0 3.031 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.031 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.031 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.031 * [taylor]: Taking taylor expansion of b in b 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify 1 into 1 3.032 * [backup-simplify]: Simplify (* 1 1) into 1 3.032 * [backup-simplify]: Simplify (/ 1 1) into 1 3.032 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.032 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.032 * [taylor]: Taking taylor expansion of a in b 3.032 * [backup-simplify]: Simplify a into a 3.032 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.033 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.033 * [backup-simplify]: Simplify (+ 1 0) into 1 3.034 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 3.034 * [taylor]: Taking taylor expansion of 1.0 in a 3.034 * [backup-simplify]: Simplify 1.0 into 1.0 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.035 * [backup-simplify]: Simplify (+ 0 0) into 0 3.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 3.036 * [taylor]: Taking taylor expansion of 0 in a 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.036 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.041 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.041 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (* 1.0 (/ 1 (pow a 2))) 3.042 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 3.042 * [taylor]: Taking taylor expansion of 1.0 in a 3.042 * [backup-simplify]: Simplify 1.0 into 1.0 3.042 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.042 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.042 * [taylor]: Taking taylor expansion of a in a 3.042 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify 1 into 1 3.043 * [backup-simplify]: Simplify (* 1 1) into 1 3.043 * [backup-simplify]: Simplify (/ 1 1) into 1 3.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.051 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.051 * [backup-simplify]: Simplify 0 into 0 3.052 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 3.052 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) into (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) 3.052 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in (b a) around 0 3.052 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in a 3.052 * [taylor]: Taking taylor expansion of 0.5 in a 3.052 * [backup-simplify]: Simplify 0.5 into 0.5 3.052 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) 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 (- (pow b 2) (pow a 2)) in a 3.053 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.053 * [taylor]: Taking taylor expansion of b in a 3.053 * [backup-simplify]: Simplify b into b 3.053 * [taylor]: Taking taylor expansion of (pow a 2) 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 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.053 * [backup-simplify]: Simplify (+ (pow b 2) 0) into (pow b 2) 3.053 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 3.053 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 3.053 * [taylor]: Taking taylor expansion of 0.5 in b 3.053 * [backup-simplify]: Simplify 0.5 into 0.5 3.053 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) 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 (- (pow b 2) (pow a 2)) in b 3.053 * [taylor]: Taking taylor expansion of (pow b 2) in b 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 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.054 * [taylor]: Taking taylor expansion of a in b 3.054 * [backup-simplify]: Simplify a into a 3.054 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.054 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 3.054 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 3.054 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 3.054 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (pow b 2) (pow a 2)))) in b 3.054 * [taylor]: Taking taylor expansion of 0.5 in b 3.054 * [backup-simplify]: Simplify 0.5 into 0.5 3.054 * [taylor]: Taking taylor expansion of (/ PI (- (pow b 2) (pow a 2))) in b 3.054 * [taylor]: Taking taylor expansion of PI in b 3.054 * [backup-simplify]: Simplify PI into PI 3.054 * [taylor]: Taking taylor expansion of (- (pow b 2) (pow a 2)) in b 3.054 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.054 * [taylor]: Taking taylor expansion of b in b 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.054 * [taylor]: Taking taylor expansion of a in b 3.054 * [backup-simplify]: Simplify a into a 3.055 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.055 * [backup-simplify]: Simplify (- (pow a 2)) into (- (pow a 2)) 3.055 * [backup-simplify]: Simplify (+ 0 (- (pow a 2))) into (- (pow a 2)) 3.055 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 3.055 * [backup-simplify]: Simplify (* 0.5 (* -1 (/ PI (pow a 2)))) into (* -0.5 (/ PI (pow a 2))) 3.055 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (pow a 2))) in a 3.055 * [taylor]: Taking taylor expansion of -0.5 in a 3.055 * [backup-simplify]: Simplify -0.5 into -0.5 3.055 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 3.055 * [taylor]: Taking taylor expansion of PI in a 3.055 * [backup-simplify]: Simplify PI into PI 3.055 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.055 * [taylor]: Taking taylor expansion of a in a 3.056 * [backup-simplify]: Simplify 0 into 0 3.056 * [backup-simplify]: Simplify 1 into 1 3.056 * [backup-simplify]: Simplify (* 1 1) into 1 3.056 * [backup-simplify]: Simplify (/ PI 1) into PI 3.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.059 * [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 (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 3.061 * [backup-simplify]: Simplify 0 into 0 3.061 * [backup-simplify]: Simplify (+ (* a 0) (* 0 a)) into 0 3.061 * [backup-simplify]: Simplify (- 0) into 0 3.062 * [backup-simplify]: Simplify (+ 0 0) into 0 3.062 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 0 (- (pow a 2)))))) into 0 3.063 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 (/ PI (pow a 2))))) into 0 3.063 * [taylor]: Taking taylor expansion of 0 in a 3.063 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 0 into 0 3.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (* 1 1) into 1 3.067 * [backup-simplify]: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 3.067 * [backup-simplify]: Simplify (- 0) into 0 3.068 * [backup-simplify]: Simplify (+ 1 0) into 1 3.069 * [backup-simplify]: Simplify (- (/ 0 (- (pow a 2))) (+ (* (* -1 (/ PI (pow a 2))) (/ 1 (- (pow a 2)))) (* 0 (/ 0 (- (pow a 2)))))) into (- (/ PI (pow a 4))) 3.070 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow a 4)))) (+ (* 0 0) (* 0 (* -1 (/ PI (pow a 2)))))) into (- (* 0.5 (/ PI (pow a 4)))) 3.070 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow a 4)))) in a 3.070 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 4))) in a 3.070 * [taylor]: Taking taylor expansion of 0.5 in a 3.070 * [backup-simplify]: Simplify 0.5 into 0.5 3.070 * [taylor]: Taking taylor expansion of (/ PI (pow a 4)) in a 3.070 * [taylor]: Taking taylor expansion of PI in a 3.070 * [backup-simplify]: Simplify PI into PI 3.070 * [taylor]: Taking taylor expansion of (pow a 4) in a 3.070 * [taylor]: Taking taylor expansion of a in a 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 1 into 1 3.070 * [backup-simplify]: Simplify (* 1 1) into 1 3.071 * [backup-simplify]: Simplify (* 1 1) into 1 3.071 * [backup-simplify]: Simplify (/ PI 1) into PI 3.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.084 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.084 * [backup-simplify]: Simplify (- 0) into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 0 into 0 3.085 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.088 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 b) (/ 1 b)) (* (/ 1 a) (/ 1 a))))) into (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 3.089 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 3.089 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 3.089 * [taylor]: Taking taylor expansion of 0.5 in a 3.089 * [backup-simplify]: Simplify 0.5 into 0.5 3.089 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 3.089 * [taylor]: Taking taylor expansion of PI in a 3.089 * [backup-simplify]: Simplify PI into PI 3.089 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.089 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.089 * [taylor]: Taking taylor expansion of b in a 3.089 * [backup-simplify]: Simplify b into b 3.089 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.089 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.089 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.089 * [taylor]: Taking taylor expansion of a in a 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 1 into 1 3.090 * [backup-simplify]: Simplify (* 1 1) into 1 3.090 * [backup-simplify]: Simplify (/ 1 1) into 1 3.090 * [backup-simplify]: Simplify (- 1) into -1 3.091 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.091 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 3.091 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.091 * [taylor]: Taking taylor expansion of 0.5 in b 3.091 * [backup-simplify]: Simplify 0.5 into 0.5 3.091 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.091 * [taylor]: Taking taylor expansion of PI in b 3.091 * [backup-simplify]: Simplify PI into PI 3.091 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.091 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.091 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.092 * [taylor]: Taking taylor expansion of b in b 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (* 1 1) into 1 3.092 * [backup-simplify]: Simplify (/ 1 1) into 1 3.092 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.092 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.092 * [taylor]: Taking taylor expansion of a in b 3.092 * [backup-simplify]: Simplify a into a 3.092 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.093 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.093 * [backup-simplify]: Simplify (+ 1 0) into 1 3.094 * [backup-simplify]: Simplify (/ PI 1) into PI 3.094 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.094 * [taylor]: Taking taylor expansion of 0.5 in b 3.094 * [backup-simplify]: Simplify 0.5 into 0.5 3.094 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.094 * [taylor]: Taking taylor expansion of PI in b 3.094 * [backup-simplify]: Simplify PI into PI 3.094 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.094 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.094 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.094 * [taylor]: Taking taylor expansion of b in b 3.094 * [backup-simplify]: Simplify 0 into 0 3.094 * [backup-simplify]: Simplify 1 into 1 3.094 * [backup-simplify]: Simplify (* 1 1) into 1 3.095 * [backup-simplify]: Simplify (/ 1 1) into 1 3.095 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.095 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.095 * [taylor]: Taking taylor expansion of a in b 3.095 * [backup-simplify]: Simplify a into a 3.095 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.095 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.095 * [backup-simplify]: Simplify (+ 1 0) into 1 3.096 * [backup-simplify]: Simplify (/ PI 1) into PI 3.096 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 3.096 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 3.096 * [taylor]: Taking taylor expansion of 0.5 in a 3.097 * [backup-simplify]: Simplify 0.5 into 0.5 3.097 * [taylor]: Taking taylor expansion of PI in a 3.097 * [backup-simplify]: Simplify PI into PI 3.097 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 3.097 * [backup-simplify]: Simplify 0 into 0 3.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.098 * [backup-simplify]: Simplify (+ 0 0) into 0 3.099 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.099 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 3.099 * [taylor]: Taking taylor expansion of 0 in a 3.099 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.100 * [backup-simplify]: Simplify 0 into 0 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.102 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.102 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 3.103 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 3.103 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 3.103 * [taylor]: Taking taylor expansion of 0.5 in a 3.103 * [backup-simplify]: Simplify 0.5 into 0.5 3.103 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 3.103 * [taylor]: Taking taylor expansion of PI in a 3.103 * [backup-simplify]: Simplify PI into PI 3.103 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.103 * [taylor]: Taking taylor expansion of a in a 3.103 * [backup-simplify]: Simplify 0 into 0 3.103 * [backup-simplify]: Simplify 1 into 1 3.103 * [backup-simplify]: Simplify (* 1 1) into 1 3.104 * [backup-simplify]: Simplify (/ PI 1) into PI 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.109 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (* (/ PI 2.0) (/ 1.0 (- (* (/ 1 (- b)) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))))) into (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) 3.110 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in (b a) around 0 3.110 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in a 3.110 * [taylor]: Taking taylor expansion of 0.5 in a 3.110 * [backup-simplify]: Simplify 0.5 into 0.5 3.110 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in a 3.110 * [taylor]: Taking taylor expansion of PI in a 3.110 * [backup-simplify]: Simplify PI into PI 3.110 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in a 3.110 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in a 3.111 * [taylor]: Taking taylor expansion of (pow b 2) in a 3.111 * [taylor]: Taking taylor expansion of b in a 3.111 * [backup-simplify]: Simplify b into b 3.111 * [backup-simplify]: Simplify (* b b) into (pow b 2) 3.111 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 3.111 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 3.111 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.111 * [taylor]: Taking taylor expansion of a in a 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 1 into 1 3.111 * [backup-simplify]: Simplify (* 1 1) into 1 3.111 * [backup-simplify]: Simplify (/ 1 1) into 1 3.111 * [backup-simplify]: Simplify (- 1) into -1 3.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.112 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 3.112 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.112 * [taylor]: Taking taylor expansion of 0.5 in b 3.112 * [backup-simplify]: Simplify 0.5 into 0.5 3.112 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.112 * [taylor]: Taking taylor expansion of PI in b 3.112 * [backup-simplify]: Simplify PI into PI 3.112 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.112 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.112 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.112 * [taylor]: Taking taylor expansion of b in b 3.112 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify 1 into 1 3.112 * [backup-simplify]: Simplify (* 1 1) into 1 3.113 * [backup-simplify]: Simplify (/ 1 1) into 1 3.113 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.113 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.113 * [taylor]: Taking taylor expansion of a in b 3.113 * [backup-simplify]: Simplify a into a 3.113 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.113 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.113 * [backup-simplify]: Simplify (+ 1 0) into 1 3.114 * [backup-simplify]: Simplify (/ PI 1) into PI 3.114 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2))))) in b 3.114 * [taylor]: Taking taylor expansion of 0.5 in b 3.114 * [backup-simplify]: Simplify 0.5 into 0.5 3.114 * [taylor]: Taking taylor expansion of (/ PI (- (/ 1 (pow b 2)) (/ 1 (pow a 2)))) in b 3.114 * [taylor]: Taking taylor expansion of PI in b 3.114 * [backup-simplify]: Simplify PI into PI 3.114 * [taylor]: Taking taylor expansion of (- (/ 1 (pow b 2)) (/ 1 (pow a 2))) in b 3.114 * [taylor]: Taking taylor expansion of (/ 1 (pow b 2)) in b 3.114 * [taylor]: Taking taylor expansion of (pow b 2) in b 3.114 * [taylor]: Taking taylor expansion of b in b 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (* 1 1) into 1 3.114 * [backup-simplify]: Simplify (/ 1 1) into 1 3.114 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in b 3.114 * [taylor]: Taking taylor expansion of (pow a 2) in b 3.114 * [taylor]: Taking taylor expansion of a in b 3.114 * [backup-simplify]: Simplify a into a 3.114 * [backup-simplify]: Simplify (* a a) into (pow a 2) 3.114 * [backup-simplify]: Simplify (/ 1 (pow a 2)) into (/ 1 (pow a 2)) 3.115 * [backup-simplify]: Simplify (+ 1 0) into 1 3.115 * [backup-simplify]: Simplify (/ PI 1) into PI 3.115 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 3.115 * [taylor]: Taking taylor expansion of (* 0.5 PI) in a 3.115 * [taylor]: Taking taylor expansion of 0.5 in a 3.115 * [backup-simplify]: Simplify 0.5 into 0.5 3.115 * [taylor]: Taking taylor expansion of PI in a 3.115 * [backup-simplify]: Simplify PI into PI 3.116 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.117 * [backup-simplify]: Simplify (+ 0 0) into 0 3.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.118 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 3.118 * [taylor]: Taking taylor expansion of 0 in a 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 3.119 * [backup-simplify]: Simplify 0 into 0 3.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.120 * [backup-simplify]: Simplify (- (/ 1 (pow a 2))) into (- (/ 1 (pow a 2))) 3.120 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow a 2)))) into (- (/ 1 (pow a 2))) 3.121 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow a 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow a 2)) 3.121 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow a 2))) (+ (* 0 0) (* 0 PI))) into (* 0.5 (/ PI (pow a 2))) 3.121 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow a 2))) in a 3.121 * [taylor]: Taking taylor expansion of 0.5 in a 3.122 * [backup-simplify]: Simplify 0.5 into 0.5 3.122 * [taylor]: Taking taylor expansion of (/ PI (pow a 2)) in a 3.122 * [taylor]: Taking taylor expansion of PI in a 3.122 * [backup-simplify]: Simplify PI into PI 3.122 * [taylor]: Taking taylor expansion of (pow a 2) in a 3.122 * [taylor]: Taking taylor expansion of a in a 3.122 * [backup-simplify]: Simplify 0 into 0 3.122 * [backup-simplify]: Simplify 1 into 1 3.122 * [backup-simplify]: Simplify (* 1 1) into 1 3.122 * [backup-simplify]: Simplify (/ PI 1) into PI 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.127 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * * * [progress]: simplifying candidates 3.146 * [simplify]: Simplifying: (expm1 (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (log PI) (log 2.0)) (- (log 1.0) (log (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log PI) (log 2.0)) (log (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ PI 2.0)) (- (log 1.0) (log (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ PI 2.0)) (log (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (- (/ 1.0 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(* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (/ (* (* 1.0 1.0) 1.0) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))))) (* (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b b) (* a a))))) (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (/ (* (* 1.0 1.0) 1.0) (* (* (- (* b b) (* a a)) (- (* b b) (* a a))) (- (* b b) (* a a))))) (* (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (/ 1.0 (- (* b b) (* a a))) (/ 1.0 (- (* b b) (* a a)))) (/ 1.0 (- (* b b) (* a a))))) (* (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))))) (cbrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (* (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (sqrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (sqrt (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a))))) (* PI 1.0) (* 2.0 (- (* b b) (* a a))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ (sqrt PI) (sqrt 2.0)) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (* (cbrt (/ 1.0 (- (* b b) (* a a)))) (cbrt (/ 1.0 (- (* b b) (* a a)))))) (* (/ PI 2.0) (sqrt (/ 1.0 (- (* b b) (* a a))))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) 1)) (* (/ PI 2.0) (/ (* (cbrt 1.0) (cbrt 1.0)) (+ b a))) (* (/ PI 2.0) (/ (sqrt 1.0) (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (* (/ PI 2.0) (/ (sqrt 1.0) (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (/ (sqrt 1.0) 1)) (* (/ PI 2.0) (/ (sqrt 1.0) (+ b a))) (* (/ PI 2.0) (/ 1 (* (cbrt (- (* b b) (* a a))) (cbrt (- (* b b) (* a a)))))) (* (/ PI 2.0) (/ 1 (sqrt (- (* b b) (* a a))))) (* (/ PI 2.0) (/ 1 1)) (* (/ PI 2.0) (/ 1 (+ b a))) (* (/ PI 2.0) 1) (* (/ PI 2.0) 1.0) (* (/ PI 2.0) (/ 1.0 (- (pow (* b b) 3) (pow (* a a) 3)))) (* (/ PI 2.0) (/ 1.0 (- (* (* b b) (* b b)) (* (* a a) (* a a))))) (* (cbrt (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (sqrt (/ PI 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (cbrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ (sqrt PI) 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (cbrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI (sqrt 2.0)) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ 1 2.0) (/ 1.0 (- (* b b) (* a a)))) (* (/ PI 2.0) 1.0) (* PI (/ 1.0 (- (* b b) (* a a)))) 0 0 0 (- (pow b 2) (pow a 2)) (- (pow b 2) (pow a 2)) (- (pow b 2) (pow a 2)) 0 0 0 0 0 0 3.178 * * [simplify]: iteration 0: 886 enodes 3.682 * * [simplify]: iteration 1: 2914 enodes 4.821 * * [simplify]: iteration complete: 5000 enodes 4.822 * * [simplify]: Extracting #0: cost 335 inf + 0 4.825 * * [simplify]: Extracting #1: cost 1422 inf + 44 4.832 * * [simplify]: Extracting #2: cost 1999 inf + 1678 4.848 * * [simplify]: Extracting #3: cost 1769 inf + 53206 4.913 * * [simplify]: Extracting #4: cost 1033 inf + 241355 4.994 * * [simplify]: Extracting #5: cost 534 inf + 440630 5.153 * * [simplify]: Extracting #6: cost 120 inf + 668443 5.371 * * [simplify]: Extracting #7: cost 2 inf + 735331 5.567 * * [simplify]: Extracting #8: cost 0 inf + 735339 5.736 * [simplify]: 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(* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (fma 1.0 (/ 1 a) (- (/ 1.0 b)))) (* (/ PI 2.0) (* (/ 1.0 (* (+ b a) (- b a))) (fma (/ 1.0 b) -1 (/ 1.0 b)))) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (/ 1.0 a)) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (- (/ 1.0 b))) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (/ 1.0 a)) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (- (/ 1.0 b))) (* (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (sqrt (- (/ 1.0 a) (/ 1.0 b)))) (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (+ (sqrt (/ 1.0 b)) (sqrt (/ 1.0 a)))) (* (/ PI 2.0) (* (/ 1.0 (* (+ b a) (- b a))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))))) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (+ (sqrt (/ 1.0 b)) (/ (sqrt 1.0) (sqrt a)))) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (+ (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt a)))) (* (/ PI 2.0) (* (/ 1.0 (* (+ b a) (- b a))) (* (cbrt 1.0) (cbrt 1.0)))) (* (sqrt 1.0) (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (* (/ PI 2.0) (* (/ 1.0 (* (+ b a) (- b a))) 1.0)) (* (/ 1.0 (* (+ b a) (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (* (- (* b 1.0) (* 1.0 a)) (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (- (* (/ 1.0 a) (* (/ 1.0 a) (/ 1.0 a))) (* (/ 1.0 b) (* (/ 1.0 b) (/ 1.0 b))))) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (* (+ (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)))) (* (- (/ 1.0 a) (/ 1.0 b)) (* PI 1.0)) (* (/ (* PI 1.0) 2.0) (- (/ 1.0 a) (/ 1.0 b))) (* (/ (* PI 1.0) (* (+ b a) (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (* (+ b a) (- b a)) (+ (- (* a a)) (* a a)) (expm1 (* (+ b a) (- b a))) (log1p (* (+ b a) (- b a))) (- (* a a)) (exp (* (+ b a) (- b a))) (log (* (+ b a) (- b a))) (exp (* (+ b a) (- b a))) (* (cbrt (* (+ b a) (- b a))) (cbrt (* (+ b a) (- b a)))) (cbrt (* (+ b a) (- b a))) (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a))) (sqrt (* (+ b a) (- b a))) (sqrt (* (+ b a) (- b a))) (- (* (* (* b b) (* b b)) (* b b)) (* (* a (* a a)) (* a (* a a)))) (fma (* a a) (fma b b (* a a)) (* (* b b) (* b b))) (- (* a a)) (- (* (* b b) (* b b)) (* (* a a) (* a a))) (fma b b (* a a)) (+ a b) (- b a) (- (* a a)) (expm1 (/ 1.0 (* (+ b a) (- b a)))) (log1p (/ 1.0 (* (+ b a) (- b a)))) (log (/ 1.0 (* (+ b a) (- b a)))) (log (/ 1.0 (* (+ b a) (- b a)))) (exp (/ 1.0 (* (+ b a) (- b a)))) (* (* (/ 1.0 (* (+ b a) (- b a))) (/ 1.0 (* (+ b a) (- b a)))) (/ 1.0 (* (+ b a) (- b a)))) (* (cbrt (/ 1.0 (* (+ b a) (- b a)))) (cbrt (/ 1.0 (* (+ b a) (- b a))))) (cbrt (/ 1.0 (* (+ b a) (- b a)))) (* (/ 1.0 (* (+ b a) (- b a))) (* (/ 1.0 (* (+ b a) (- b a))) (/ 1.0 (* (+ b a) (- b a))))) (sqrt (/ 1.0 (* (+ b a) (- b a)))) (sqrt (/ 1.0 (* (+ b a) (- b a)))) (- 1.0) (* (+ a b) (- (- b a))) (* (/ (cbrt 1.0) (cbrt (* (+ b a) (- b a)))) (/ (cbrt 1.0) (cbrt (* (+ b a) (- b a))))) (/ (cbrt 1.0) (cbrt (* (+ b a) (- b a)))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (+ b a) (- b a)))) (/ (cbrt 1.0) (sqrt (* (+ b a) (- b a)))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (* (+ b a) (- b a))) (/ (cbrt 1.0) (/ (+ a b) (cbrt 1.0))) (/ (cbrt 1.0) (- b a)) (/ (sqrt 1.0) (* (cbrt (* (+ b a) (- b a))) (cbrt (* (+ b a) (- b a))))) (/ (sqrt 1.0) (cbrt (* (+ b a) (- b a)))) (/ (sqrt 1.0) (sqrt (* (+ b a) (- b a)))) (/ (sqrt 1.0) (sqrt (* (+ b a) (- b a)))) (sqrt 1.0) (/ (sqrt 1.0) (* (+ b a) (- b a))) (/ (sqrt 1.0) (+ a b)) (/ (sqrt 1.0) (- b a)) (/ 1 (* (cbrt (* (+ b a) (- b a))) (cbrt (* (+ b a) (- b a))))) (/ 1.0 (cbrt (* (+ b a) (- b a)))) (/ 1 (sqrt (* (+ b a) (- b a)))) (/ 1.0 (sqrt (* (+ b a) (- b a)))) 1 (/ 1.0 (* (+ b a) (- b a))) (/ 1 (+ a b)) (/ 1.0 (- b a)) (/ 1 (* (+ b a) (- b a))) (/ (* (+ b a) (- b a)) 1.0) (/ (/ 1.0 (cbrt (* (+ b a) (- b a)))) (cbrt (* (+ b a) (- b a)))) (/ 1.0 (sqrt (* (+ b a) (- b a)))) 1.0 (/ 1.0 (+ a b)) (/ (* (+ b a) (- b a)) (cbrt 1.0)) (/ (* (+ b a) (- b a)) (sqrt 1.0)) (/ (* (+ b a) (- b a)) 1.0) (/ 1.0 (- (* (* (* b b) (* b b)) (* b b)) (* (* a (* a a)) (* a (* a a))))) (/ 1.0 (- (* (* b b) (* b b)) (* (* a a) (* a a)))) (expm1 (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (log1p (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (log (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (log (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (log (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (log (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (log (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (exp (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (* (* (* (/ 1.0 (* (+ b a) (- b a))) (/ 1.0 (* (+ b a) (- b a)))) (/ 1.0 (* (+ b a) (- b a)))) (* (/ PI 2.0) (* (/ PI 2.0) (/ PI 2.0)))) (* (* (/ PI 2.0) (/ PI 2.0)) (* (/ PI 2.0) (* (/ 1.0 (* (+ b a) (- b a))) (* (/ 1.0 (* (+ b a) (- b a))) (/ 1.0 (* (+ b a) (- b a))))))) (* (* (* (/ 1.0 (* (+ b a) (- b a))) (/ 1.0 (* (+ b a) (- b a)))) (/ 1.0 (* (+ b a) (- b a)))) (* (/ PI 2.0) (* (/ PI 2.0) (/ PI 2.0)))) (* (* (/ PI 2.0) (/ PI 2.0)) (* (/ PI 2.0) (* (/ 1.0 (* (+ b a) (- b a))) (* (/ 1.0 (* (+ b a) (- b a))) (/ 1.0 (* (+ b a) (- b a))))))) (* (cbrt (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (cbrt (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)))) (cbrt (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (* (* (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (sqrt (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (sqrt (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0))) (* PI 1.0) (* (* (+ b a) (- b a)) 2.0) (* (sqrt (/ 1.0 (* (+ b a) (- b a)))) (sqrt (/ PI 2.0))) (* (sqrt (/ 1.0 (* (+ b a) (- b a)))) (sqrt (/ PI 2.0))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (* (+ b a) (- b a))))) (* (sqrt (/ PI 2.0)) (/ (sqrt 1.0) (sqrt (* (+ b a) (- b a))))) (* (sqrt (/ 1.0 (* (+ b a) (- b a)))) (/ (sqrt PI) (sqrt 2.0))) (* (sqrt (/ 1.0 (* (+ b a) (- b a)))) (/ (sqrt PI) (sqrt 2.0))) (/ (* (sqrt PI) (/ (sqrt 1.0) (sqrt (* (+ b a) (- b a))))) (sqrt 2.0)) (/ (* (sqrt PI) (/ (sqrt 1.0) (sqrt (* (+ b a) (- b a))))) (sqrt 2.0)) (* (* (cbrt (/ 1.0 (* (+ b a) (- b a)))) (cbrt (/ 1.0 (* (+ b a) (- b a))))) (/ PI 2.0)) (* (/ PI 2.0) (sqrt (/ 1.0 (* (+ b a) (- b a))))) (* (/ PI 2.0) (* (/ (cbrt 1.0) (cbrt (* (+ b a) (- b a)))) (/ (cbrt 1.0) (cbrt (* (+ b a) (- b a)))))) (/ (* PI (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (+ b a) (- b a))))) 2.0) (* (* (cbrt 1.0) (cbrt 1.0)) (/ PI 2.0)) (/ (* (/ PI 2.0) (* (cbrt 1.0) (cbrt 1.0))) (+ a b)) (* (/ (/ PI 2.0) (cbrt (* (+ b a) (- b a)))) (/ (sqrt 1.0) (cbrt (* (+ b a) (- b a))))) (* (/ PI 2.0) (/ (sqrt 1.0) (sqrt (* (+ b a) (- b a))))) (/ (* PI (sqrt 1.0)) 2.0) (* (/ PI 2.0) (/ (sqrt 1.0) (+ a b))) (/ (/ PI 2.0) (* (cbrt (* (+ b a) (- b a))) (cbrt (* (+ b a) (- b a))))) (/ (/ PI 2.0) (sqrt (* (+ b a) (- b a)))) (/ PI 2.0) (/ (/ PI 2.0) (+ a b)) (/ PI 2.0) (/ (* PI 1.0) 2.0) (/ (* (/ PI 2.0) 1.0) (- (* (* (* b b) (* b b)) (* b b)) (* (* a (* a a)) (* a (* a a))))) (/ (* (/ PI 2.0) 1.0) (- (* (* b b) (* b b)) (* (* a a) (* a a)))) (* (cbrt (/ PI 2.0)) (/ 1.0 (* (+ b a) (- b a)))) (/ (* (sqrt (/ PI 2.0)) 1.0) (* (+ b a) (- b a))) (/ (* (cbrt PI) (/ 1.0 (* (+ b a) (- b a)))) (cbrt 2.0)) (* (/ (/ (cbrt PI) (sqrt 2.0)) (+ a b)) (/ 1.0 (- b a))) (* (/ (cbrt PI) 2.0) (/ 1.0 (* (+ b a) (- b a)))) (* (/ (/ (sqrt PI) (cbrt 2.0)) (+ a b)) (/ 1.0 (- b a))) (/ (* (/ (sqrt PI) (sqrt 2.0)) 1.0) (* (+ b a) (- b a))) (* (/ 1.0 (* (+ b a) (- b a))) (/ (sqrt PI) 2.0)) (/ (* (/ PI (cbrt 2.0)) 1.0) (* (+ b a) (- b a))) (/ (* (/ PI (sqrt 2.0)) 1.0) (* (+ b a) (- b a))) (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (* (/ 1.0 (* (+ b a) (- b a))) (/ PI 2.0)) (/ (/ 1.0 (* (+ b a) (- b a))) 2.0) (/ (* PI 1.0) 2.0) (/ (* PI 1.0) (* (+ b a) (- b a))) 0 0 0 (* (+ b a) (- b a)) (* (+ b a) (- b a)) (* (+ b a) (- b a)) 0 0 0 0 0 0 5.894 * * * [progress]: adding candidates to table 10.429 * * [progress]: iteration 2 / 4 10.430 * * * [progress]: picking best candidate 10.471 * * * * [pick]: Picked # 10.472 * * * [progress]: localizing error 10.500 * * * [progress]: generating rewritten candidates 10.500 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 10.694 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 10.721 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 10.823 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 10.893 * * * [progress]: generating series expansions 10.893 * * * * [progress]: [ 1 / 4 ] generating series at (2) 10.895 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) 10.895 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in (a b) around 0 10.895 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in b 10.895 * [taylor]: Taking taylor expansion of 0.5 in b 10.895 * [backup-simplify]: Simplify 0.5 into 0.5 10.895 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a))) in b 10.896 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 10.896 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 10.896 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 10.896 * [taylor]: Taking taylor expansion of 1.0 in b 10.896 * [backup-simplify]: Simplify 1.0 into 1.0 10.896 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.896 * [taylor]: Taking taylor expansion of a in b 10.896 * [backup-simplify]: Simplify a into a 10.896 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.896 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 10.896 * [taylor]: Taking taylor expansion of 1.0 in b 10.896 * [backup-simplify]: Simplify 1.0 into 1.0 10.896 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.896 * [taylor]: Taking taylor expansion of b in b 10.896 * [backup-simplify]: Simplify 0 into 0 10.896 * [backup-simplify]: Simplify 1 into 1 10.897 * [backup-simplify]: Simplify (/ 1 1) into 1 10.897 * [taylor]: Taking taylor expansion of PI in b 10.897 * [backup-simplify]: Simplify PI into PI 10.897 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 10.897 * [taylor]: Taking taylor expansion of (+ a b) in b 10.897 * [taylor]: Taking taylor expansion of a in b 10.897 * [backup-simplify]: Simplify a into a 10.897 * [taylor]: Taking taylor expansion of b in b 10.897 * [backup-simplify]: Simplify 0 into 0 10.897 * [backup-simplify]: Simplify 1 into 1 10.897 * [taylor]: Taking taylor expansion of (- b a) in b 10.897 * [taylor]: Taking taylor expansion of b in b 10.897 * [backup-simplify]: Simplify 0 into 0 10.897 * [backup-simplify]: Simplify 1 into 1 10.897 * [taylor]: Taking taylor expansion of a in b 10.897 * [backup-simplify]: Simplify a into a 10.897 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.898 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 10.899 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 10.900 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 10.900 * [backup-simplify]: Simplify (+ a 0) into a 10.900 * [backup-simplify]: Simplify (- a) into (- a) 10.900 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 10.900 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 10.901 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 10.901 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in a 10.901 * [taylor]: Taking taylor expansion of 0.5 in a 10.901 * [backup-simplify]: Simplify 0.5 into 0.5 10.901 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a))) in a 10.901 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 10.901 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 10.901 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 10.901 * [taylor]: Taking taylor expansion of 1.0 in a 10.901 * [backup-simplify]: Simplify 1.0 into 1.0 10.901 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.901 * [taylor]: Taking taylor expansion of a in a 10.901 * [backup-simplify]: Simplify 0 into 0 10.901 * [backup-simplify]: Simplify 1 into 1 10.902 * [backup-simplify]: Simplify (/ 1 1) into 1 10.902 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 10.902 * [taylor]: Taking taylor expansion of 1.0 in a 10.902 * [backup-simplify]: Simplify 1.0 into 1.0 10.902 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.902 * [taylor]: Taking taylor expansion of b in a 10.902 * [backup-simplify]: Simplify b into b 10.902 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.902 * [taylor]: Taking taylor expansion of PI in a 10.902 * [backup-simplify]: Simplify PI into PI 10.902 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 10.902 * [taylor]: Taking taylor expansion of (+ a b) in a 10.902 * [taylor]: Taking taylor expansion of a in a 10.902 * [backup-simplify]: Simplify 0 into 0 10.902 * [backup-simplify]: Simplify 1 into 1 10.902 * [taylor]: Taking taylor expansion of b in a 10.902 * [backup-simplify]: Simplify b into b 10.902 * [taylor]: Taking taylor expansion of (- b a) in a 10.902 * [taylor]: Taking taylor expansion of b in a 10.902 * [backup-simplify]: Simplify b into b 10.902 * [taylor]: Taking taylor expansion of a in a 10.902 * [backup-simplify]: Simplify 0 into 0 10.902 * [backup-simplify]: Simplify 1 into 1 10.903 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.903 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.904 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 10.904 * [backup-simplify]: Simplify (+ 0 b) into b 10.904 * [backup-simplify]: Simplify (- 0) into 0 10.904 * [backup-simplify]: Simplify (+ b 0) into b 10.904 * [backup-simplify]: Simplify (* b b) into (pow b 2) 10.905 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 10.905 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a)))) in a 10.905 * [taylor]: Taking taylor expansion of 0.5 in a 10.905 * [backup-simplify]: Simplify 0.5 into 0.5 10.905 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (+ a b) (- b a))) in a 10.905 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 10.905 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 10.905 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 10.905 * [taylor]: Taking taylor expansion of 1.0 in a 10.905 * [backup-simplify]: Simplify 1.0 into 1.0 10.905 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.905 * [taylor]: Taking taylor expansion of a in a 10.905 * [backup-simplify]: Simplify 0 into 0 10.905 * [backup-simplify]: Simplify 1 into 1 10.906 * [backup-simplify]: Simplify (/ 1 1) into 1 10.906 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 10.906 * [taylor]: Taking taylor expansion of 1.0 in a 10.906 * [backup-simplify]: Simplify 1.0 into 1.0 10.906 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.906 * [taylor]: Taking taylor expansion of b in a 10.906 * [backup-simplify]: Simplify b into b 10.906 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.906 * [taylor]: Taking taylor expansion of PI in a 10.906 * [backup-simplify]: Simplify PI into PI 10.906 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 10.906 * [taylor]: Taking taylor expansion of (+ a b) in a 10.906 * [taylor]: Taking taylor expansion of a in a 10.906 * [backup-simplify]: Simplify 0 into 0 10.906 * [backup-simplify]: Simplify 1 into 1 10.906 * [taylor]: Taking taylor expansion of b in a 10.906 * [backup-simplify]: Simplify b into b 10.906 * [taylor]: Taking taylor expansion of (- b a) in a 10.906 * [taylor]: Taking taylor expansion of b in a 10.906 * [backup-simplify]: Simplify b into b 10.906 * [taylor]: Taking taylor expansion of a in a 10.906 * [backup-simplify]: Simplify 0 into 0 10.906 * [backup-simplify]: Simplify 1 into 1 10.907 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 10.907 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.908 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 10.908 * [backup-simplify]: Simplify (+ 0 b) into b 10.908 * [backup-simplify]: Simplify (- 0) into 0 10.908 * [backup-simplify]: Simplify (+ b 0) into b 10.908 * [backup-simplify]: Simplify (* b b) into (pow b 2) 10.909 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 10.909 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow b 2)))) into (* 0.5 (/ PI (pow b 2))) 10.909 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 10.909 * [taylor]: Taking taylor expansion of 0.5 in b 10.910 * [backup-simplify]: Simplify 0.5 into 0.5 10.910 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 10.910 * [taylor]: Taking taylor expansion of PI in b 10.910 * [backup-simplify]: Simplify PI into PI 10.910 * [taylor]: Taking taylor expansion of (pow b 2) in b 10.910 * [taylor]: Taking taylor expansion of b in b 10.910 * [backup-simplify]: Simplify 0 into 0 10.910 * [backup-simplify]: Simplify 1 into 1 10.910 * [backup-simplify]: Simplify (* 1 1) into 1 10.911 * [backup-simplify]: Simplify (/ PI 1) into PI 10.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.912 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.913 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 10.913 * [backup-simplify]: Simplify 0 into 0 10.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.914 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 10.915 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 10.915 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 10.915 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 10.915 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 10.916 * [backup-simplify]: Simplify (- 1) into -1 10.916 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.917 * [backup-simplify]: Simplify (+ 1 0) into 1 10.917 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 10.917 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI b))) (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1.0 (/ PI (pow b 3)))) 10.918 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2))))) into (- (* 0.5 (/ PI (pow b 3)))) 10.918 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 3)))) in b 10.918 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 10.918 * [taylor]: Taking taylor expansion of 0.5 in b 10.918 * [backup-simplify]: Simplify 0.5 into 0.5 10.918 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 10.918 * [taylor]: Taking taylor expansion of PI in b 10.918 * [backup-simplify]: Simplify PI into PI 10.918 * [taylor]: Taking taylor expansion of (pow b 3) in b 10.918 * [taylor]: Taking taylor expansion of b in b 10.918 * [backup-simplify]: Simplify 0 into 0 10.918 * [backup-simplify]: Simplify 1 into 1 10.919 * [backup-simplify]: Simplify (* 1 1) into 1 10.919 * [backup-simplify]: Simplify (* 1 1) into 1 10.919 * [backup-simplify]: Simplify (/ PI 1) into PI 10.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.925 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 10.926 * [backup-simplify]: Simplify (- 0) into 0 10.926 * [backup-simplify]: Simplify 0 into 0 10.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.927 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 10.927 * [backup-simplify]: Simplify 0 into 0 10.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.928 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 10.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.929 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 10.929 * [backup-simplify]: Simplify (- 0) into 0 10.929 * [backup-simplify]: Simplify (+ 0 0) into 0 10.930 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 10.930 * [backup-simplify]: Simplify (- 0) into 0 10.931 * [backup-simplify]: Simplify (+ 0 0) into 0 10.931 * [backup-simplify]: Simplify (+ 0 0) into 0 10.931 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 10.932 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1.0 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1.0 (/ PI (pow b 4))) 10.932 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow b 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2)))))) into (* 0.5 (/ PI (pow b 4))) 10.932 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 10.932 * [taylor]: Taking taylor expansion of 0.5 in b 10.933 * [backup-simplify]: Simplify 0.5 into 0.5 10.933 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 10.933 * [taylor]: Taking taylor expansion of PI in b 10.933 * [backup-simplify]: Simplify PI into PI 10.933 * [taylor]: Taking taylor expansion of (pow b 4) in b 10.933 * [taylor]: Taking taylor expansion of b in b 10.933 * [backup-simplify]: Simplify 0 into 0 10.933 * [backup-simplify]: Simplify 1 into 1 10.933 * [backup-simplify]: Simplify (* 1 1) into 1 10.933 * [backup-simplify]: Simplify (* 1 1) into 1 10.934 * [backup-simplify]: Simplify (/ PI 1) into PI 10.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 10.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 10.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.939 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.939 * [backup-simplify]: Simplify 0 into 0 10.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.942 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.942 * [backup-simplify]: Simplify (- 0) into 0 10.942 * [backup-simplify]: Simplify 0 into 0 10.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 10.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.944 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.944 * [backup-simplify]: Simplify 0 into 0 10.944 * [backup-simplify]: Simplify 0 into 0 10.945 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) (/ 1.0 (- (/ 1 b) (/ 1 a)))) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 10.945 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 10.945 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 10.945 * [taylor]: Taking taylor expansion of 0.5 in b 10.945 * [backup-simplify]: Simplify 0.5 into 0.5 10.945 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 10.945 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 a) (* 1.0 b))) in b 10.945 * [taylor]: Taking taylor expansion of PI in b 10.945 * [backup-simplify]: Simplify PI into PI 10.945 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 10.945 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 10.945 * [taylor]: Taking taylor expansion of 1.0 in b 10.945 * [backup-simplify]: Simplify 1.0 into 1.0 10.945 * [taylor]: Taking taylor expansion of a in b 10.945 * [backup-simplify]: Simplify a into a 10.945 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 10.945 * [taylor]: Taking taylor expansion of 1.0 in b 10.945 * [backup-simplify]: Simplify 1.0 into 1.0 10.945 * [taylor]: Taking taylor expansion of b in b 10.945 * [backup-simplify]: Simplify 0 into 0 10.945 * [backup-simplify]: Simplify 1 into 1 10.945 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 10.945 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.945 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.945 * [taylor]: Taking taylor expansion of a in b 10.945 * [backup-simplify]: Simplify a into a 10.945 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.945 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.945 * [taylor]: Taking taylor expansion of b in b 10.945 * [backup-simplify]: Simplify 0 into 0 10.945 * [backup-simplify]: Simplify 1 into 1 10.946 * [backup-simplify]: Simplify (/ 1 1) into 1 10.946 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 10.946 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.946 * [taylor]: Taking taylor expansion of b in b 10.946 * [backup-simplify]: Simplify 0 into 0 10.946 * [backup-simplify]: Simplify 1 into 1 10.946 * [backup-simplify]: Simplify (/ 1 1) into 1 10.946 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.946 * [taylor]: Taking taylor expansion of a in b 10.946 * [backup-simplify]: Simplify a into a 10.946 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.946 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 10.946 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.947 * [backup-simplify]: Simplify (- 0) into 0 10.947 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 10.947 * [backup-simplify]: Simplify (* PI (* 1.0 a)) into (* 1.0 (* a PI)) 10.947 * [backup-simplify]: Simplify (+ 0 1) into 1 10.947 * [backup-simplify]: Simplify (+ 1 0) into 1 10.947 * [backup-simplify]: Simplify (* 1 1) into 1 10.948 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 10.948 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 10.948 * [taylor]: Taking taylor expansion of 0.5 in a 10.948 * [backup-simplify]: Simplify 0.5 into 0.5 10.948 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 10.948 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 a) (* 1.0 b))) in a 10.948 * [taylor]: Taking taylor expansion of PI in a 10.948 * [backup-simplify]: Simplify PI into PI 10.948 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 10.948 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.948 * [taylor]: Taking taylor expansion of 1.0 in a 10.948 * [backup-simplify]: Simplify 1.0 into 1.0 10.948 * [taylor]: Taking taylor expansion of a in a 10.948 * [backup-simplify]: Simplify 0 into 0 10.948 * [backup-simplify]: Simplify 1 into 1 10.948 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.948 * [taylor]: Taking taylor expansion of 1.0 in a 10.948 * [backup-simplify]: Simplify 1.0 into 1.0 10.948 * [taylor]: Taking taylor expansion of b in a 10.948 * [backup-simplify]: Simplify b into b 10.948 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 10.948 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.948 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.948 * [taylor]: Taking taylor expansion of a in a 10.948 * [backup-simplify]: Simplify 0 into 0 10.948 * [backup-simplify]: Simplify 1 into 1 10.948 * [backup-simplify]: Simplify (/ 1 1) into 1 10.948 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.948 * [taylor]: Taking taylor expansion of b in a 10.948 * [backup-simplify]: Simplify b into b 10.948 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.948 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.948 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.948 * [taylor]: Taking taylor expansion of b in a 10.948 * [backup-simplify]: Simplify b into b 10.948 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.948 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.948 * [taylor]: Taking taylor expansion of a in a 10.948 * [backup-simplify]: Simplify 0 into 0 10.948 * [backup-simplify]: Simplify 1 into 1 10.949 * [backup-simplify]: Simplify (/ 1 1) into 1 10.949 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.949 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.949 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 10.949 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 10.949 * [backup-simplify]: Simplify (* PI (- (* 1.0 b))) into (* -1.0 (* b PI)) 10.950 * [backup-simplify]: Simplify (+ 1 0) into 1 10.950 * [backup-simplify]: Simplify (- 1) into -1 10.950 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.950 * [backup-simplify]: Simplify (* 1 -1) into -1 10.950 * [backup-simplify]: Simplify (/ (* -1.0 (* b PI)) -1) into (* 1.0 (* PI b)) 10.950 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 10.950 * [taylor]: Taking taylor expansion of 0.5 in a 10.950 * [backup-simplify]: Simplify 0.5 into 0.5 10.950 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 a) (* 1.0 b))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 10.950 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 a) (* 1.0 b))) in a 10.951 * [taylor]: Taking taylor expansion of PI in a 10.951 * [backup-simplify]: Simplify PI into PI 10.951 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 10.951 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.951 * [taylor]: Taking taylor expansion of 1.0 in a 10.951 * [backup-simplify]: Simplify 1.0 into 1.0 10.951 * [taylor]: Taking taylor expansion of a in a 10.951 * [backup-simplify]: Simplify 0 into 0 10.951 * [backup-simplify]: Simplify 1 into 1 10.951 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.951 * [taylor]: Taking taylor expansion of 1.0 in a 10.951 * [backup-simplify]: Simplify 1.0 into 1.0 10.951 * [taylor]: Taking taylor expansion of b in a 10.951 * [backup-simplify]: Simplify b into b 10.951 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 10.951 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.951 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.951 * [taylor]: Taking taylor expansion of a in a 10.951 * [backup-simplify]: Simplify 0 into 0 10.951 * [backup-simplify]: Simplify 1 into 1 10.951 * [backup-simplify]: Simplify (/ 1 1) into 1 10.951 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.951 * [taylor]: Taking taylor expansion of b in a 10.951 * [backup-simplify]: Simplify b into b 10.951 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.951 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 10.951 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.951 * [taylor]: Taking taylor expansion of b in a 10.951 * [backup-simplify]: Simplify b into b 10.951 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.951 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.951 * [taylor]: Taking taylor expansion of a in a 10.951 * [backup-simplify]: Simplify 0 into 0 10.951 * [backup-simplify]: Simplify 1 into 1 10.952 * [backup-simplify]: Simplify (/ 1 1) into 1 10.952 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.952 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.952 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 10.952 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 10.952 * [backup-simplify]: Simplify (* PI (- (* 1.0 b))) into (* -1.0 (* b PI)) 10.952 * [backup-simplify]: Simplify (+ 1 0) into 1 10.953 * [backup-simplify]: Simplify (- 1) into -1 10.953 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.953 * [backup-simplify]: Simplify (* 1 -1) into -1 10.953 * [backup-simplify]: Simplify (/ (* -1.0 (* b PI)) -1) into (* 1.0 (* PI b)) 10.953 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* PI b))) into (* 0.5 (* b PI)) 10.953 * [taylor]: Taking taylor expansion of (* 0.5 (* b PI)) in b 10.953 * [taylor]: Taking taylor expansion of 0.5 in b 10.953 * [backup-simplify]: Simplify 0.5 into 0.5 10.953 * [taylor]: Taking taylor expansion of (* b PI) in b 10.953 * [taylor]: Taking taylor expansion of b in b 10.953 * [backup-simplify]: Simplify 0 into 0 10.953 * [backup-simplify]: Simplify 1 into 1 10.953 * [taylor]: Taking taylor expansion of PI in b 10.954 * [backup-simplify]: Simplify PI into PI 10.954 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.955 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.956 * [backup-simplify]: Simplify (* 0 PI) into 0 10.956 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 10.956 * [backup-simplify]: Simplify 0 into 0 10.957 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 10.957 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 10.958 * [backup-simplify]: Simplify (- 0) into 0 10.958 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 10.958 * [backup-simplify]: Simplify (+ (* PI 1.0) (* 0 (- (* 1.0 b)))) into (* 1.0 PI) 10.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.959 * [backup-simplify]: Simplify (- 0) into 0 10.959 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 10.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 10.960 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 10.960 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 10.961 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* PI b)) (/ 0 -1)))) into (- (* 1.0 PI)) 10.962 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (- (* 0.5 PI)) 10.962 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in b 10.962 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 10.962 * [taylor]: Taking taylor expansion of 0.5 in b 10.962 * [backup-simplify]: Simplify 0.5 into 0.5 10.962 * [taylor]: Taking taylor expansion of PI in b 10.962 * [backup-simplify]: Simplify PI into PI 10.962 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 10.963 * [backup-simplify]: Simplify (- 0) into 0 10.963 * [backup-simplify]: Simplify 0 into 0 10.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 10.964 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 10.964 * [backup-simplify]: Simplify 0 into 0 10.965 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 10.965 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 10.965 * [backup-simplify]: Simplify (- 0) into 0 10.966 * [backup-simplify]: Simplify (+ 0 0) into 0 10.966 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1.0) (* 0 (- (* 1.0 b))))) into 0 10.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.967 * [backup-simplify]: Simplify (- 0) into 0 10.967 * [backup-simplify]: Simplify (+ 0 0) into 0 10.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 10.968 * [backup-simplify]: Simplify (+ 0 0) into 0 10.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 10.970 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* PI b)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI b)) 10.971 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (* 0.5 (/ PI b)) 10.971 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 10.971 * [taylor]: Taking taylor expansion of 0.5 in b 10.971 * [backup-simplify]: Simplify 0.5 into 0.5 10.971 * [taylor]: Taking taylor expansion of (/ PI b) in b 10.971 * [taylor]: Taking taylor expansion of PI in b 10.971 * [backup-simplify]: Simplify PI into PI 10.971 * [taylor]: Taking taylor expansion of b in b 10.971 * [backup-simplify]: Simplify 0 into 0 10.971 * [backup-simplify]: Simplify 1 into 1 10.971 * [backup-simplify]: Simplify (/ PI 1) into PI 10.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 10.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 10.974 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.974 * [backup-simplify]: Simplify 0 into 0 10.975 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 10.975 * [backup-simplify]: Simplify (- 0) into 0 10.975 * [backup-simplify]: Simplify 0 into 0 10.982 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 10.983 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 10.983 * [backup-simplify]: Simplify 0 into 0 10.983 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 10.984 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 10.984 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 10.984 * [taylor]: Taking taylor expansion of -0.5 in b 10.984 * [backup-simplify]: Simplify -0.5 into -0.5 10.984 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 10.984 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 10.984 * [taylor]: Taking taylor expansion of PI in b 10.984 * [backup-simplify]: Simplify PI into PI 10.984 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 10.984 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 10.984 * [taylor]: Taking taylor expansion of 1.0 in b 10.984 * [backup-simplify]: Simplify 1.0 into 1.0 10.984 * [taylor]: Taking taylor expansion of b in b 10.984 * [backup-simplify]: Simplify 0 into 0 10.984 * [backup-simplify]: Simplify 1 into 1 10.984 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 10.984 * [taylor]: Taking taylor expansion of 1.0 in b 10.984 * [backup-simplify]: Simplify 1.0 into 1.0 10.984 * [taylor]: Taking taylor expansion of a in b 10.984 * [backup-simplify]: Simplify a into a 10.984 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 10.984 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 10.984 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.984 * [taylor]: Taking taylor expansion of a in b 10.984 * [backup-simplify]: Simplify a into a 10.984 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.984 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.985 * [taylor]: Taking taylor expansion of b in b 10.985 * [backup-simplify]: Simplify 0 into 0 10.985 * [backup-simplify]: Simplify 1 into 1 10.985 * [backup-simplify]: Simplify (/ 1 1) into 1 10.985 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 10.985 * [taylor]: Taking taylor expansion of (/ 1 a) in b 10.985 * [taylor]: Taking taylor expansion of a in b 10.985 * [backup-simplify]: Simplify a into a 10.985 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 10.985 * [taylor]: Taking taylor expansion of (/ 1 b) in b 10.985 * [taylor]: Taking taylor expansion of b in b 10.985 * [backup-simplify]: Simplify 0 into 0 10.985 * [backup-simplify]: Simplify 1 into 1 10.985 * [backup-simplify]: Simplify (/ 1 1) into 1 10.986 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.986 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 10.986 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 10.986 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 10.986 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 10.986 * [backup-simplify]: Simplify (+ 0 1) into 1 10.986 * [backup-simplify]: Simplify (- 1) into -1 10.987 * [backup-simplify]: Simplify (+ 0 -1) into -1 10.987 * [backup-simplify]: Simplify (* 1 -1) into -1 10.987 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 10.987 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 10.987 * [taylor]: Taking taylor expansion of -0.5 in a 10.987 * [backup-simplify]: Simplify -0.5 into -0.5 10.987 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 10.987 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 10.987 * [taylor]: Taking taylor expansion of PI in a 10.987 * [backup-simplify]: Simplify PI into PI 10.987 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 10.987 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.987 * [taylor]: Taking taylor expansion of 1.0 in a 10.987 * [backup-simplify]: Simplify 1.0 into 1.0 10.987 * [taylor]: Taking taylor expansion of b in a 10.987 * [backup-simplify]: Simplify b into b 10.987 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.987 * [taylor]: Taking taylor expansion of 1.0 in a 10.987 * [backup-simplify]: Simplify 1.0 into 1.0 10.987 * [taylor]: Taking taylor expansion of a in a 10.987 * [backup-simplify]: Simplify 0 into 0 10.987 * [backup-simplify]: Simplify 1 into 1 10.987 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 10.987 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.987 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.987 * [taylor]: Taking taylor expansion of a in a 10.987 * [backup-simplify]: Simplify 0 into 0 10.987 * [backup-simplify]: Simplify 1 into 1 10.988 * [backup-simplify]: Simplify (/ 1 1) into 1 10.988 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.988 * [taylor]: Taking taylor expansion of b in a 10.988 * [backup-simplify]: Simplify b into b 10.988 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.988 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.988 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.988 * [taylor]: Taking taylor expansion of a in a 10.988 * [backup-simplify]: Simplify 0 into 0 10.988 * [backup-simplify]: Simplify 1 into 1 10.988 * [backup-simplify]: Simplify (/ 1 1) into 1 10.988 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.988 * [taylor]: Taking taylor expansion of b in a 10.988 * [backup-simplify]: Simplify b into b 10.988 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.988 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.988 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.989 * [backup-simplify]: Simplify (- 0) into 0 10.989 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 10.989 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 10.989 * [backup-simplify]: Simplify (+ 1 0) into 1 10.989 * [backup-simplify]: Simplify (+ 1 0) into 1 10.990 * [backup-simplify]: Simplify (* 1 1) into 1 10.990 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 10.990 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 10.990 * [taylor]: Taking taylor expansion of -0.5 in a 10.990 * [backup-simplify]: Simplify -0.5 into -0.5 10.990 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 10.990 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 10.990 * [taylor]: Taking taylor expansion of PI in a 10.990 * [backup-simplify]: Simplify PI into PI 10.990 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 10.990 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 10.990 * [taylor]: Taking taylor expansion of 1.0 in a 10.990 * [backup-simplify]: Simplify 1.0 into 1.0 10.990 * [taylor]: Taking taylor expansion of b in a 10.990 * [backup-simplify]: Simplify b into b 10.990 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 10.990 * [taylor]: Taking taylor expansion of 1.0 in a 10.990 * [backup-simplify]: Simplify 1.0 into 1.0 10.990 * [taylor]: Taking taylor expansion of a in a 10.990 * [backup-simplify]: Simplify 0 into 0 10.990 * [backup-simplify]: Simplify 1 into 1 10.990 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 10.991 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 10.991 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.991 * [taylor]: Taking taylor expansion of a in a 10.991 * [backup-simplify]: Simplify 0 into 0 10.991 * [backup-simplify]: Simplify 1 into 1 10.991 * [backup-simplify]: Simplify (/ 1 1) into 1 10.991 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.991 * [taylor]: Taking taylor expansion of b in a 10.991 * [backup-simplify]: Simplify b into b 10.991 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.991 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 10.991 * [taylor]: Taking taylor expansion of (/ 1 a) in a 10.991 * [taylor]: Taking taylor expansion of a in a 10.991 * [backup-simplify]: Simplify 0 into 0 10.991 * [backup-simplify]: Simplify 1 into 1 10.992 * [backup-simplify]: Simplify (/ 1 1) into 1 10.992 * [taylor]: Taking taylor expansion of (/ 1 b) in a 10.992 * [taylor]: Taking taylor expansion of b in a 10.992 * [backup-simplify]: Simplify b into b 10.992 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 10.992 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 10.992 * [backup-simplify]: Simplify (* 1.0 0) into 0 10.993 * [backup-simplify]: Simplify (- 0) into 0 10.993 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 10.993 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 10.993 * [backup-simplify]: Simplify (+ 1 0) into 1 10.994 * [backup-simplify]: Simplify (+ 1 0) into 1 10.994 * [backup-simplify]: Simplify (* 1 1) into 1 10.994 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 10.994 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 10.994 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 10.994 * [taylor]: Taking taylor expansion of -0.5 in b 10.994 * [backup-simplify]: Simplify -0.5 into -0.5 10.994 * [taylor]: Taking taylor expansion of (* b PI) in b 10.994 * [taylor]: Taking taylor expansion of b in b 10.994 * [backup-simplify]: Simplify 0 into 0 10.994 * [backup-simplify]: Simplify 1 into 1 10.994 * [taylor]: Taking taylor expansion of PI in b 10.994 * [backup-simplify]: Simplify PI into PI 10.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 10.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 10.997 * [backup-simplify]: Simplify (* 0 PI) into 0 10.998 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 10.998 * [backup-simplify]: Simplify 0 into 0 10.999 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 11.000 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 11.001 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 11.001 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 11.002 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 11.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.003 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 11.003 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 11.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.004 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 11.004 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 11.007 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)))) into (- (* 1.0 PI)) 11.009 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 0.5 PI) 11.009 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 11.009 * [taylor]: Taking taylor expansion of 0.5 in b 11.009 * [backup-simplify]: Simplify 0.5 into 0.5 11.009 * [taylor]: Taking taylor expansion of PI in b 11.009 * [backup-simplify]: Simplify PI into PI 11.010 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.010 * [backup-simplify]: Simplify 0 into 0 11.011 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.012 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 11.012 * [backup-simplify]: Simplify 0 into 0 11.013 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 11.014 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 11.014 * [backup-simplify]: Simplify (- 0) into 0 11.014 * [backup-simplify]: Simplify (+ 0 0) into 0 11.015 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 11.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.017 * [backup-simplify]: Simplify (- 0) into 0 11.017 * [backup-simplify]: Simplify (+ 0 0) into 0 11.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.018 * [backup-simplify]: Simplify (+ 0 0) into 0 11.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 11.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI b)) 11.022 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 0.5 (/ PI b))) 11.022 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 11.022 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 11.022 * [taylor]: Taking taylor expansion of 0.5 in b 11.022 * [backup-simplify]: Simplify 0.5 into 0.5 11.022 * [taylor]: Taking taylor expansion of (/ PI b) in b 11.022 * [taylor]: Taking taylor expansion of PI in b 11.022 * [backup-simplify]: Simplify PI into PI 11.022 * [taylor]: Taking taylor expansion of b in b 11.022 * [backup-simplify]: Simplify 0 into 0 11.022 * [backup-simplify]: Simplify 1 into 1 11.023 * [backup-simplify]: Simplify (/ PI 1) into PI 11.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.027 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.027 * [backup-simplify]: Simplify (- 0) into 0 11.027 * [backup-simplify]: Simplify 0 into 0 11.028 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.029 * [backup-simplify]: Simplify 0 into 0 11.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.031 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 11.031 * [backup-simplify]: Simplify 0 into 0 11.031 * [backup-simplify]: Simplify 0 into 0 11.031 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 11.032 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ a b)) into (* 0.5 (/ PI (+ a b))) 11.032 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (a b) around 0 11.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 11.032 * [taylor]: Taking taylor expansion of 0.5 in b 11.032 * [backup-simplify]: Simplify 0.5 into 0.5 11.032 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 11.032 * [taylor]: Taking taylor expansion of PI in b 11.032 * [backup-simplify]: Simplify PI into PI 11.032 * [taylor]: Taking taylor expansion of (+ a b) in b 11.032 * [taylor]: Taking taylor expansion of a in b 11.032 * [backup-simplify]: Simplify a into a 11.032 * [taylor]: Taking taylor expansion of b in b 11.032 * [backup-simplify]: Simplify 0 into 0 11.032 * [backup-simplify]: Simplify 1 into 1 11.032 * [backup-simplify]: Simplify (+ a 0) into a 11.032 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 11.032 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 11.032 * [taylor]: Taking taylor expansion of 0.5 in a 11.032 * [backup-simplify]: Simplify 0.5 into 0.5 11.032 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 11.032 * [taylor]: Taking taylor expansion of PI in a 11.032 * [backup-simplify]: Simplify PI into PI 11.033 * [taylor]: Taking taylor expansion of (+ a b) in a 11.033 * [taylor]: Taking taylor expansion of a in a 11.033 * [backup-simplify]: Simplify 0 into 0 11.033 * [backup-simplify]: Simplify 1 into 1 11.033 * [taylor]: Taking taylor expansion of b in a 11.033 * [backup-simplify]: Simplify b into b 11.033 * [backup-simplify]: Simplify (+ 0 b) into b 11.033 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 11.033 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 11.033 * [taylor]: Taking taylor expansion of 0.5 in a 11.033 * [backup-simplify]: Simplify 0.5 into 0.5 11.033 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 11.033 * [taylor]: Taking taylor expansion of PI in a 11.033 * [backup-simplify]: Simplify PI into PI 11.033 * [taylor]: Taking taylor expansion of (+ a b) in a 11.033 * [taylor]: Taking taylor expansion of a in a 11.033 * [backup-simplify]: Simplify 0 into 0 11.033 * [backup-simplify]: Simplify 1 into 1 11.033 * [taylor]: Taking taylor expansion of b in a 11.033 * [backup-simplify]: Simplify b into b 11.033 * [backup-simplify]: Simplify (+ 0 b) into b 11.033 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 11.033 * [backup-simplify]: Simplify (* 0.5 (/ PI b)) into (* 0.5 (/ PI b)) 11.033 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 11.033 * [taylor]: Taking taylor expansion of 0.5 in b 11.033 * [backup-simplify]: Simplify 0.5 into 0.5 11.033 * [taylor]: Taking taylor expansion of (/ PI b) in b 11.033 * [taylor]: Taking taylor expansion of PI in b 11.034 * [backup-simplify]: Simplify PI into PI 11.034 * [taylor]: Taking taylor expansion of b in b 11.034 * [backup-simplify]: Simplify 0 into 0 11.034 * [backup-simplify]: Simplify 1 into 1 11.034 * [backup-simplify]: Simplify (/ PI 1) into PI 11.035 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.036 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 11.036 * [backup-simplify]: Simplify 0 into 0 11.036 * [backup-simplify]: Simplify (+ 1 0) into 1 11.036 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 11.037 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 0.5 (/ PI (pow b 2)))) 11.037 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 11.037 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.037 * [taylor]: Taking taylor expansion of 0.5 in b 11.037 * [backup-simplify]: Simplify 0.5 into 0.5 11.037 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.037 * [taylor]: Taking taylor expansion of PI in b 11.037 * [backup-simplify]: Simplify PI into PI 11.037 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.037 * [taylor]: Taking taylor expansion of b in b 11.037 * [backup-simplify]: Simplify 0 into 0 11.037 * [backup-simplify]: Simplify 1 into 1 11.038 * [backup-simplify]: Simplify (* 1 1) into 1 11.038 * [backup-simplify]: Simplify (/ PI 1) into PI 11.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.043 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.043 * [backup-simplify]: Simplify (- 0) into 0 11.043 * [backup-simplify]: Simplify 0 into 0 11.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.046 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.046 * [backup-simplify]: Simplify 0 into 0 11.046 * [backup-simplify]: Simplify (+ 0 0) into 0 11.047 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 11.048 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 0.5 (/ PI (pow b 3))) 11.048 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 11.048 * [taylor]: Taking taylor expansion of 0.5 in b 11.048 * [backup-simplify]: Simplify 0.5 into 0.5 11.048 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 11.048 * [taylor]: Taking taylor expansion of PI in b 11.048 * [backup-simplify]: Simplify PI into PI 11.048 * [taylor]: Taking taylor expansion of (pow b 3) in b 11.048 * [taylor]: Taking taylor expansion of b in b 11.048 * [backup-simplify]: Simplify 0 into 0 11.048 * [backup-simplify]: Simplify 1 into 1 11.048 * [backup-simplify]: Simplify (* 1 1) into 1 11.049 * [backup-simplify]: Simplify (* 1 1) into 1 11.050 * [backup-simplify]: Simplify (/ PI 1) into PI 11.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.056 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.056 * [backup-simplify]: Simplify 0 into 0 11.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.058 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.059 * [backup-simplify]: Simplify (- 0) into 0 11.059 * [backup-simplify]: Simplify 0 into 0 11.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.060 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.060 * [backup-simplify]: Simplify 0 into 0 11.060 * [backup-simplify]: Simplify 0 into 0 11.060 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 11.060 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 11.060 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 11.060 * [taylor]: Taking taylor expansion of 0.5 in b 11.061 * [backup-simplify]: Simplify 0.5 into 0.5 11.061 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 11.061 * [taylor]: Taking taylor expansion of PI in b 11.061 * [backup-simplify]: Simplify PI into PI 11.061 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 11.061 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.061 * [taylor]: Taking taylor expansion of a in b 11.061 * [backup-simplify]: Simplify a into a 11.061 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.061 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.061 * [taylor]: Taking taylor expansion of b in b 11.061 * [backup-simplify]: Simplify 0 into 0 11.061 * [backup-simplify]: Simplify 1 into 1 11.061 * [backup-simplify]: Simplify (/ 1 1) into 1 11.061 * [backup-simplify]: Simplify (+ 0 1) into 1 11.062 * [backup-simplify]: Simplify (/ PI 1) into PI 11.062 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 11.062 * [taylor]: Taking taylor expansion of 0.5 in a 11.062 * [backup-simplify]: Simplify 0.5 into 0.5 11.062 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 11.062 * [taylor]: Taking taylor expansion of PI in a 11.062 * [backup-simplify]: Simplify PI into PI 11.062 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.062 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.062 * [taylor]: Taking taylor expansion of a in a 11.062 * [backup-simplify]: Simplify 0 into 0 11.062 * [backup-simplify]: Simplify 1 into 1 11.062 * [backup-simplify]: Simplify (/ 1 1) into 1 11.062 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.062 * [taylor]: Taking taylor expansion of b in a 11.062 * [backup-simplify]: Simplify b into b 11.062 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.062 * [backup-simplify]: Simplify (+ 1 0) into 1 11.063 * [backup-simplify]: Simplify (/ PI 1) into PI 11.063 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 11.063 * [taylor]: Taking taylor expansion of 0.5 in a 11.063 * [backup-simplify]: Simplify 0.5 into 0.5 11.063 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 11.063 * [taylor]: Taking taylor expansion of PI in a 11.063 * [backup-simplify]: Simplify PI into PI 11.063 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.063 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.063 * [taylor]: Taking taylor expansion of a in a 11.063 * [backup-simplify]: Simplify 0 into 0 11.063 * [backup-simplify]: Simplify 1 into 1 11.063 * [backup-simplify]: Simplify (/ 1 1) into 1 11.063 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.063 * [taylor]: Taking taylor expansion of b in a 11.063 * [backup-simplify]: Simplify b into b 11.063 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.064 * [backup-simplify]: Simplify (+ 1 0) into 1 11.064 * [backup-simplify]: Simplify (/ PI 1) into PI 11.064 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 11.064 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 11.064 * [taylor]: Taking taylor expansion of 0.5 in b 11.064 * [backup-simplify]: Simplify 0.5 into 0.5 11.064 * [taylor]: Taking taylor expansion of PI in b 11.064 * [backup-simplify]: Simplify PI into PI 11.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 11.065 * [backup-simplify]: Simplify 0 into 0 11.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.066 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 11.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 11.066 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI b))) (* 0 PI)) into (- (* 0.5 (/ PI b))) 11.066 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 11.066 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 11.066 * [taylor]: Taking taylor expansion of 0.5 in b 11.066 * [backup-simplify]: Simplify 0.5 into 0.5 11.066 * [taylor]: Taking taylor expansion of (/ PI b) in b 11.066 * [taylor]: Taking taylor expansion of PI in b 11.066 * [backup-simplify]: Simplify PI into PI 11.066 * [taylor]: Taking taylor expansion of b in b 11.066 * [backup-simplify]: Simplify 0 into 0 11.066 * [backup-simplify]: Simplify 1 into 1 11.067 * [backup-simplify]: Simplify (/ PI 1) into PI 11.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.068 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.069 * [backup-simplify]: Simplify (- 0) into 0 11.069 * [backup-simplify]: Simplify 0 into 0 11.069 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.069 * [backup-simplify]: Simplify 0 into 0 11.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.070 * [backup-simplify]: Simplify (+ 0 0) into 0 11.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 11.072 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 0.5 (/ PI (pow b 2))) 11.072 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.072 * [taylor]: Taking taylor expansion of 0.5 in b 11.072 * [backup-simplify]: Simplify 0.5 into 0.5 11.072 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.072 * [taylor]: Taking taylor expansion of PI in b 11.072 * [backup-simplify]: Simplify PI into PI 11.072 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.072 * [taylor]: Taking taylor expansion of b in b 11.072 * [backup-simplify]: Simplify 0 into 0 11.072 * [backup-simplify]: Simplify 1 into 1 11.072 * [backup-simplify]: Simplify (* 1 1) into 1 11.072 * [backup-simplify]: Simplify (/ PI 1) into PI 11.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.076 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.076 * [backup-simplify]: Simplify 0 into 0 11.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.078 * [backup-simplify]: Simplify (- 0) into 0 11.078 * [backup-simplify]: Simplify 0 into 0 11.079 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.079 * [backup-simplify]: Simplify 0 into 0 11.079 * [backup-simplify]: Simplify 0 into 0 11.079 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 11.079 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 11.079 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 11.079 * [taylor]: Taking taylor expansion of -0.5 in b 11.079 * [backup-simplify]: Simplify -0.5 into -0.5 11.079 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 11.079 * [taylor]: Taking taylor expansion of PI in b 11.079 * [backup-simplify]: Simplify PI into PI 11.079 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 11.079 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.079 * [taylor]: Taking taylor expansion of a in b 11.079 * [backup-simplify]: Simplify a into a 11.079 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.079 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.079 * [taylor]: Taking taylor expansion of b in b 11.079 * [backup-simplify]: Simplify 0 into 0 11.079 * [backup-simplify]: Simplify 1 into 1 11.080 * [backup-simplify]: Simplify (/ 1 1) into 1 11.080 * [backup-simplify]: Simplify (+ 0 1) into 1 11.080 * [backup-simplify]: Simplify (/ PI 1) into PI 11.080 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 11.080 * [taylor]: Taking taylor expansion of -0.5 in a 11.080 * [backup-simplify]: Simplify -0.5 into -0.5 11.080 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 11.080 * [taylor]: Taking taylor expansion of PI in a 11.080 * [backup-simplify]: Simplify PI into PI 11.080 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.080 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.080 * [taylor]: Taking taylor expansion of a in a 11.080 * [backup-simplify]: Simplify 0 into 0 11.080 * [backup-simplify]: Simplify 1 into 1 11.081 * [backup-simplify]: Simplify (/ 1 1) into 1 11.081 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.081 * [taylor]: Taking taylor expansion of b in a 11.081 * [backup-simplify]: Simplify b into b 11.081 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.081 * [backup-simplify]: Simplify (+ 1 0) into 1 11.081 * [backup-simplify]: Simplify (/ PI 1) into PI 11.081 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 11.081 * [taylor]: Taking taylor expansion of -0.5 in a 11.081 * [backup-simplify]: Simplify -0.5 into -0.5 11.081 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 11.081 * [taylor]: Taking taylor expansion of PI in a 11.081 * [backup-simplify]: Simplify PI into PI 11.081 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.081 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.081 * [taylor]: Taking taylor expansion of a in a 11.081 * [backup-simplify]: Simplify 0 into 0 11.081 * [backup-simplify]: Simplify 1 into 1 11.082 * [backup-simplify]: Simplify (/ 1 1) into 1 11.082 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.082 * [taylor]: Taking taylor expansion of b in a 11.082 * [backup-simplify]: Simplify b into b 11.082 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.082 * [backup-simplify]: Simplify (+ 1 0) into 1 11.082 * [backup-simplify]: Simplify (/ PI 1) into PI 11.083 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 11.083 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 11.083 * [taylor]: Taking taylor expansion of -0.5 in b 11.083 * [backup-simplify]: Simplify -0.5 into -0.5 11.083 * [taylor]: Taking taylor expansion of PI in b 11.083 * [backup-simplify]: Simplify PI into PI 11.083 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 11.083 * [backup-simplify]: Simplify 0 into 0 11.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.084 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 11.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 11.085 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI b))) (* 0 PI)) into (* 0.5 (/ PI b)) 11.085 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 11.085 * [taylor]: Taking taylor expansion of 0.5 in b 11.085 * [backup-simplify]: Simplify 0.5 into 0.5 11.085 * [taylor]: Taking taylor expansion of (/ PI b) in b 11.085 * [taylor]: Taking taylor expansion of PI in b 11.085 * [backup-simplify]: Simplify PI into PI 11.085 * [taylor]: Taking taylor expansion of b in b 11.085 * [backup-simplify]: Simplify 0 into 0 11.085 * [backup-simplify]: Simplify 1 into 1 11.085 * [backup-simplify]: Simplify (/ PI 1) into PI 11.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.087 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.087 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.088 * [backup-simplify]: Simplify 0 into 0 11.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.089 * [backup-simplify]: Simplify (+ 0 0) into 0 11.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 11.090 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 11.090 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 11.090 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.090 * [taylor]: Taking taylor expansion of 0.5 in b 11.090 * [backup-simplify]: Simplify 0.5 into 0.5 11.090 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.090 * [taylor]: Taking taylor expansion of PI in b 11.090 * [backup-simplify]: Simplify PI into PI 11.090 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.090 * [taylor]: Taking taylor expansion of b in b 11.090 * [backup-simplify]: Simplify 0 into 0 11.090 * [backup-simplify]: Simplify 1 into 1 11.090 * [backup-simplify]: Simplify (* 1 1) into 1 11.091 * [backup-simplify]: Simplify (/ PI 1) into PI 11.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.092 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.093 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.095 * [backup-simplify]: Simplify (- 0) into 0 11.095 * [backup-simplify]: Simplify 0 into 0 11.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.096 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.096 * [backup-simplify]: Simplify 0 into 0 11.097 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.097 * [backup-simplify]: Simplify 0 into 0 11.097 * [backup-simplify]: Simplify 0 into 0 11.097 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.097 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) into (* 0.5 (/ PI (* (+ a b) (- b a)))) 11.097 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in (a b) around 0 11.097 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in b 11.098 * [taylor]: Taking taylor expansion of 0.5 in b 11.098 * [backup-simplify]: Simplify 0.5 into 0.5 11.098 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in b 11.098 * [taylor]: Taking taylor expansion of PI in b 11.098 * [backup-simplify]: Simplify PI into PI 11.098 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 11.098 * [taylor]: Taking taylor expansion of (+ a b) in b 11.098 * [taylor]: Taking taylor expansion of a in b 11.098 * [backup-simplify]: Simplify a into a 11.098 * [taylor]: Taking taylor expansion of b in b 11.098 * [backup-simplify]: Simplify 0 into 0 11.098 * [backup-simplify]: Simplify 1 into 1 11.098 * [taylor]: Taking taylor expansion of (- b a) in b 11.098 * [taylor]: Taking taylor expansion of b in b 11.098 * [backup-simplify]: Simplify 0 into 0 11.098 * [backup-simplify]: Simplify 1 into 1 11.098 * [taylor]: Taking taylor expansion of a in b 11.098 * [backup-simplify]: Simplify a into a 11.098 * [backup-simplify]: Simplify (+ a 0) into a 11.098 * [backup-simplify]: Simplify (- a) into (- a) 11.098 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 11.098 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 11.098 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 2))) into (* -1 (/ PI (pow a 2))) 11.098 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in a 11.098 * [taylor]: Taking taylor expansion of 0.5 in a 11.098 * [backup-simplify]: Simplify 0.5 into 0.5 11.098 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in a 11.098 * [taylor]: Taking taylor expansion of PI in a 11.098 * [backup-simplify]: Simplify PI into PI 11.098 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 11.098 * [taylor]: Taking taylor expansion of (+ a b) in a 11.098 * [taylor]: Taking taylor expansion of a in a 11.098 * [backup-simplify]: Simplify 0 into 0 11.098 * [backup-simplify]: Simplify 1 into 1 11.098 * [taylor]: Taking taylor expansion of b in a 11.098 * [backup-simplify]: Simplify b into b 11.098 * [taylor]: Taking taylor expansion of (- b a) in a 11.098 * [taylor]: Taking taylor expansion of b in a 11.098 * [backup-simplify]: Simplify b into b 11.098 * [taylor]: Taking taylor expansion of a in a 11.098 * [backup-simplify]: Simplify 0 into 0 11.098 * [backup-simplify]: Simplify 1 into 1 11.098 * [backup-simplify]: Simplify (+ 0 b) into b 11.103 * [backup-simplify]: Simplify (- 0) into 0 11.103 * [backup-simplify]: Simplify (+ b 0) into b 11.103 * [backup-simplify]: Simplify (* b b) into (pow b 2) 11.103 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 11.103 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ a b) (- b a)))) in a 11.103 * [taylor]: Taking taylor expansion of 0.5 in a 11.103 * [backup-simplify]: Simplify 0.5 into 0.5 11.103 * [taylor]: Taking taylor expansion of (/ PI (* (+ a b) (- b a))) in a 11.103 * [taylor]: Taking taylor expansion of PI in a 11.103 * [backup-simplify]: Simplify PI into PI 11.103 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 11.103 * [taylor]: Taking taylor expansion of (+ a b) in a 11.103 * [taylor]: Taking taylor expansion of a in a 11.103 * [backup-simplify]: Simplify 0 into 0 11.103 * [backup-simplify]: Simplify 1 into 1 11.103 * [taylor]: Taking taylor expansion of b in a 11.103 * [backup-simplify]: Simplify b into b 11.103 * [taylor]: Taking taylor expansion of (- b a) in a 11.103 * [taylor]: Taking taylor expansion of b in a 11.103 * [backup-simplify]: Simplify b into b 11.103 * [taylor]: Taking taylor expansion of a in a 11.103 * [backup-simplify]: Simplify 0 into 0 11.103 * [backup-simplify]: Simplify 1 into 1 11.103 * [backup-simplify]: Simplify (+ 0 b) into b 11.104 * [backup-simplify]: Simplify (- 0) into 0 11.104 * [backup-simplify]: Simplify (+ b 0) into b 11.104 * [backup-simplify]: Simplify (* b b) into (pow b 2) 11.104 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 11.104 * [backup-simplify]: Simplify (* 0.5 (/ PI (pow b 2))) into (* 0.5 (/ PI (pow b 2))) 11.104 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.104 * [taylor]: Taking taylor expansion of 0.5 in b 11.104 * [backup-simplify]: Simplify 0.5 into 0.5 11.104 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.104 * [taylor]: Taking taylor expansion of PI in b 11.104 * [backup-simplify]: Simplify PI into PI 11.104 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.104 * [taylor]: Taking taylor expansion of b in b 11.104 * [backup-simplify]: Simplify 0 into 0 11.104 * [backup-simplify]: Simplify 1 into 1 11.105 * [backup-simplify]: Simplify (* 1 1) into 1 11.105 * [backup-simplify]: Simplify (/ PI 1) into PI 11.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.107 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.108 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.108 * [backup-simplify]: Simplify 0 into 0 11.108 * [backup-simplify]: Simplify (- 1) into -1 11.108 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.109 * [backup-simplify]: Simplify (+ 1 0) into 1 11.109 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 11.109 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 11.109 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (/ PI (pow b 2)))) into 0 11.109 * [taylor]: Taking taylor expansion of 0 in b 11.109 * [backup-simplify]: Simplify 0 into 0 11.109 * [backup-simplify]: Simplify 0 into 0 11.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.111 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.111 * [backup-simplify]: Simplify 0 into 0 11.112 * [backup-simplify]: Simplify (- 0) into 0 11.112 * [backup-simplify]: Simplify (+ 0 0) into 0 11.112 * [backup-simplify]: Simplify (+ 0 0) into 0 11.112 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 11.113 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ (- 1) (pow b 2))) (* 0 (/ 0 (pow b 2))))) into (/ PI (pow b 4)) 11.113 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 0.5 (/ PI (pow b 4))) 11.113 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 11.113 * [taylor]: Taking taylor expansion of 0.5 in b 11.114 * [backup-simplify]: Simplify 0.5 into 0.5 11.114 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 11.114 * [taylor]: Taking taylor expansion of PI in b 11.114 * [backup-simplify]: Simplify PI into PI 11.114 * [taylor]: Taking taylor expansion of (pow b 4) in b 11.114 * [taylor]: Taking taylor expansion of b in b 11.114 * [backup-simplify]: Simplify 0 into 0 11.114 * [backup-simplify]: Simplify 1 into 1 11.114 * [backup-simplify]: Simplify (* 1 1) into 1 11.114 * [backup-simplify]: Simplify (* 1 1) into 1 11.115 * [backup-simplify]: Simplify (/ PI 1) into PI 11.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.126 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.127 * [backup-simplify]: Simplify 0 into 0 11.127 * [backup-simplify]: Simplify 0 into 0 11.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.130 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.130 * [backup-simplify]: Simplify 0 into 0 11.130 * [backup-simplify]: Simplify 0 into 0 11.131 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) (/ 1.0 (- (/ 1 b) (/ 1 a)))) into (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 11.131 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 11.131 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 11.131 * [taylor]: Taking taylor expansion of 0.5 in b 11.131 * [backup-simplify]: Simplify 0.5 into 0.5 11.131 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 11.132 * [taylor]: Taking taylor expansion of PI in b 11.132 * [backup-simplify]: Simplify PI into PI 11.132 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 11.132 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 11.132 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.132 * [taylor]: Taking taylor expansion of a in b 11.132 * [backup-simplify]: Simplify a into a 11.132 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.132 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.132 * [taylor]: Taking taylor expansion of b in b 11.132 * [backup-simplify]: Simplify 0 into 0 11.132 * [backup-simplify]: Simplify 1 into 1 11.132 * [backup-simplify]: Simplify (/ 1 1) into 1 11.132 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 11.132 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.132 * [taylor]: Taking taylor expansion of b in b 11.132 * [backup-simplify]: Simplify 0 into 0 11.132 * [backup-simplify]: Simplify 1 into 1 11.133 * [backup-simplify]: Simplify (/ 1 1) into 1 11.133 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.133 * [taylor]: Taking taylor expansion of a in b 11.133 * [backup-simplify]: Simplify a into a 11.133 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.133 * [backup-simplify]: Simplify (+ 0 1) into 1 11.134 * [backup-simplify]: Simplify (+ 1 0) into 1 11.134 * [backup-simplify]: Simplify (* 1 1) into 1 11.135 * [backup-simplify]: Simplify (/ PI 1) into PI 11.135 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 11.135 * [taylor]: Taking taylor expansion of 0.5 in a 11.135 * [backup-simplify]: Simplify 0.5 into 0.5 11.135 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 11.135 * [taylor]: Taking taylor expansion of PI in a 11.135 * [backup-simplify]: Simplify PI into PI 11.135 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 11.135 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.135 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.135 * [taylor]: Taking taylor expansion of a in a 11.135 * [backup-simplify]: Simplify 0 into 0 11.135 * [backup-simplify]: Simplify 1 into 1 11.135 * [backup-simplify]: Simplify (/ 1 1) into 1 11.136 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.136 * [taylor]: Taking taylor expansion of b in a 11.136 * [backup-simplify]: Simplify b into b 11.136 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.136 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 11.136 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.136 * [taylor]: Taking taylor expansion of b in a 11.136 * [backup-simplify]: Simplify b into b 11.136 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.136 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.136 * [taylor]: Taking taylor expansion of a in a 11.136 * [backup-simplify]: Simplify 0 into 0 11.136 * [backup-simplify]: Simplify 1 into 1 11.136 * [backup-simplify]: Simplify (/ 1 1) into 1 11.137 * [backup-simplify]: Simplify (+ 1 0) into 1 11.137 * [backup-simplify]: Simplify (- 1) into -1 11.137 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.138 * [backup-simplify]: Simplify (* 1 -1) into -1 11.138 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 11.138 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 11.138 * [taylor]: Taking taylor expansion of 0.5 in a 11.138 * [backup-simplify]: Simplify 0.5 into 0.5 11.138 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 11.138 * [taylor]: Taking taylor expansion of PI in a 11.138 * [backup-simplify]: Simplify PI into PI 11.138 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 11.138 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.138 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.138 * [taylor]: Taking taylor expansion of a in a 11.138 * [backup-simplify]: Simplify 0 into 0 11.138 * [backup-simplify]: Simplify 1 into 1 11.138 * [backup-simplify]: Simplify (/ 1 1) into 1 11.138 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.138 * [taylor]: Taking taylor expansion of b in a 11.138 * [backup-simplify]: Simplify b into b 11.138 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.138 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 11.139 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.139 * [taylor]: Taking taylor expansion of b in a 11.139 * [backup-simplify]: Simplify b into b 11.139 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.139 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.139 * [taylor]: Taking taylor expansion of a in a 11.139 * [backup-simplify]: Simplify 0 into 0 11.139 * [backup-simplify]: Simplify 1 into 1 11.139 * [backup-simplify]: Simplify (/ 1 1) into 1 11.139 * [backup-simplify]: Simplify (+ 1 0) into 1 11.139 * [backup-simplify]: Simplify (- 1) into -1 11.140 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.140 * [backup-simplify]: Simplify (* 1 -1) into -1 11.140 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 11.141 * [backup-simplify]: Simplify (* 0.5 (* -1 PI)) into (* -0.5 PI) 11.141 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 11.141 * [taylor]: Taking taylor expansion of -0.5 in b 11.141 * [backup-simplify]: Simplify -0.5 into -0.5 11.141 * [taylor]: Taking taylor expansion of PI in b 11.141 * [backup-simplify]: Simplify PI into PI 11.142 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.142 * [backup-simplify]: Simplify 0 into 0 11.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.142 * [backup-simplify]: Simplify (- 0) into 0 11.142 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 11.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.143 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 11.143 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 11.144 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 11.144 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* -1 PI))) into 0 11.144 * [taylor]: Taking taylor expansion of 0 in b 11.144 * [backup-simplify]: Simplify 0 into 0 11.144 * [backup-simplify]: Simplify 0 into 0 11.145 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.145 * [backup-simplify]: Simplify 0 into 0 11.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.146 * [backup-simplify]: Simplify (- 0) into 0 11.146 * [backup-simplify]: Simplify (+ 0 0) into 0 11.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.147 * [backup-simplify]: Simplify (+ 0 0) into 0 11.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 11.149 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 11.149 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 0.5 (/ PI (pow b 2)))) 11.149 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 11.150 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.150 * [taylor]: Taking taylor expansion of 0.5 in b 11.150 * [backup-simplify]: Simplify 0.5 into 0.5 11.150 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.150 * [taylor]: Taking taylor expansion of PI in b 11.150 * [backup-simplify]: Simplify PI into PI 11.150 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.150 * [taylor]: Taking taylor expansion of b in b 11.150 * [backup-simplify]: Simplify 0 into 0 11.150 * [backup-simplify]: Simplify 1 into 1 11.150 * [backup-simplify]: Simplify (* 1 1) into 1 11.150 * [backup-simplify]: Simplify (/ PI 1) into PI 11.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.156 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.156 * [backup-simplify]: Simplify (- 0) into 0 11.156 * [backup-simplify]: Simplify 0 into 0 11.156 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.157 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify 0 into 0 11.157 * [backup-simplify]: Simplify (* (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a))))) into (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 11.157 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 11.157 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 11.157 * [taylor]: Taking taylor expansion of -0.5 in b 11.157 * [backup-simplify]: Simplify -0.5 into -0.5 11.157 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 11.157 * [taylor]: Taking taylor expansion of PI in b 11.157 * [backup-simplify]: Simplify PI into PI 11.157 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 11.157 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 11.157 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.157 * [taylor]: Taking taylor expansion of a in b 11.158 * [backup-simplify]: Simplify a into a 11.158 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.158 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.158 * [taylor]: Taking taylor expansion of b in b 11.158 * [backup-simplify]: Simplify 0 into 0 11.158 * [backup-simplify]: Simplify 1 into 1 11.158 * [backup-simplify]: Simplify (/ 1 1) into 1 11.158 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 11.158 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.158 * [taylor]: Taking taylor expansion of a in b 11.158 * [backup-simplify]: Simplify a into a 11.158 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.158 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.158 * [taylor]: Taking taylor expansion of b in b 11.158 * [backup-simplify]: Simplify 0 into 0 11.158 * [backup-simplify]: Simplify 1 into 1 11.158 * [backup-simplify]: Simplify (/ 1 1) into 1 11.159 * [backup-simplify]: Simplify (+ 0 1) into 1 11.159 * [backup-simplify]: Simplify (- 1) into -1 11.159 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.159 * [backup-simplify]: Simplify (* 1 -1) into -1 11.160 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 11.160 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 11.160 * [taylor]: Taking taylor expansion of -0.5 in a 11.160 * [backup-simplify]: Simplify -0.5 into -0.5 11.160 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 11.160 * [taylor]: Taking taylor expansion of PI in a 11.160 * [backup-simplify]: Simplify PI into PI 11.160 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 11.160 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.160 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.160 * [taylor]: Taking taylor expansion of a in a 11.160 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify 1 into 1 11.160 * [backup-simplify]: Simplify (/ 1 1) into 1 11.160 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.160 * [taylor]: Taking taylor expansion of b in a 11.160 * [backup-simplify]: Simplify b into b 11.160 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.160 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 11.160 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.160 * [taylor]: Taking taylor expansion of a in a 11.160 * [backup-simplify]: Simplify 0 into 0 11.160 * [backup-simplify]: Simplify 1 into 1 11.160 * [backup-simplify]: Simplify (/ 1 1) into 1 11.161 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.161 * [taylor]: Taking taylor expansion of b in a 11.161 * [backup-simplify]: Simplify b into b 11.161 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.161 * [backup-simplify]: Simplify (+ 1 0) into 1 11.161 * [backup-simplify]: Simplify (+ 1 0) into 1 11.161 * [backup-simplify]: Simplify (* 1 1) into 1 11.162 * [backup-simplify]: Simplify (/ PI 1) into PI 11.162 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 11.162 * [taylor]: Taking taylor expansion of -0.5 in a 11.162 * [backup-simplify]: Simplify -0.5 into -0.5 11.162 * [taylor]: Taking taylor expansion of (/ PI (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 11.162 * [taylor]: Taking taylor expansion of PI in a 11.162 * [backup-simplify]: Simplify PI into PI 11.162 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 11.162 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 11.162 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.162 * [taylor]: Taking taylor expansion of a in a 11.162 * [backup-simplify]: Simplify 0 into 0 11.162 * [backup-simplify]: Simplify 1 into 1 11.162 * [backup-simplify]: Simplify (/ 1 1) into 1 11.162 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.162 * [taylor]: Taking taylor expansion of b in a 11.162 * [backup-simplify]: Simplify b into b 11.162 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.162 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 11.162 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.162 * [taylor]: Taking taylor expansion of a in a 11.162 * [backup-simplify]: Simplify 0 into 0 11.162 * [backup-simplify]: Simplify 1 into 1 11.163 * [backup-simplify]: Simplify (/ 1 1) into 1 11.163 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.163 * [taylor]: Taking taylor expansion of b in a 11.163 * [backup-simplify]: Simplify b into b 11.163 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.163 * [backup-simplify]: Simplify (+ 1 0) into 1 11.163 * [backup-simplify]: Simplify (+ 1 0) into 1 11.163 * [backup-simplify]: Simplify (* 1 1) into 1 11.164 * [backup-simplify]: Simplify (/ PI 1) into PI 11.164 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 11.164 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 11.164 * [taylor]: Taking taylor expansion of -0.5 in b 11.164 * [backup-simplify]: Simplify -0.5 into -0.5 11.164 * [taylor]: Taking taylor expansion of PI in b 11.164 * [backup-simplify]: Simplify PI into PI 11.165 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 11.165 * [backup-simplify]: Simplify 0 into 0 11.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.165 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 11.166 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 11.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.166 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 11.166 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 11.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.167 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 11.167 * [taylor]: Taking taylor expansion of 0 in b 11.167 * [backup-simplify]: Simplify 0 into 0 11.167 * [backup-simplify]: Simplify 0 into 0 11.168 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.168 * [backup-simplify]: Simplify 0 into 0 11.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.169 * [backup-simplify]: Simplify (- 0) into 0 11.169 * [backup-simplify]: Simplify (+ 0 0) into 0 11.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 11.170 * [backup-simplify]: Simplify (+ 0 0) into 0 11.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 11.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 11.172 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 11.172 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 11.172 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 11.172 * [taylor]: Taking taylor expansion of 0.5 in b 11.172 * [backup-simplify]: Simplify 0.5 into 0.5 11.172 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 11.172 * [taylor]: Taking taylor expansion of PI in b 11.172 * [backup-simplify]: Simplify PI into PI 11.172 * [taylor]: Taking taylor expansion of (pow b 2) in b 11.172 * [taylor]: Taking taylor expansion of b in b 11.172 * [backup-simplify]: Simplify 0 into 0 11.172 * [backup-simplify]: Simplify 1 into 1 11.173 * [backup-simplify]: Simplify (* 1 1) into 1 11.173 * [backup-simplify]: Simplify (/ PI 1) into PI 11.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 11.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.178 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.178 * [backup-simplify]: Simplify (- 0) into 0 11.178 * [backup-simplify]: Simplify 0 into 0 11.179 * [backup-simplify]: Simplify 0 into 0 11.179 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.179 * [backup-simplify]: Simplify 0 into 0 11.179 * [backup-simplify]: Simplify 0 into 0 11.179 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 11.180 * [backup-simplify]: Simplify (/ 1.0 (- b a)) into (/ 1.0 (- b a)) 11.180 * [approximate]: Taking taylor expansion of (/ 1.0 (- b a)) in (b a) around 0 11.180 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in a 11.180 * [taylor]: Taking taylor expansion of 1.0 in a 11.180 * [backup-simplify]: Simplify 1.0 into 1.0 11.180 * [taylor]: Taking taylor expansion of (- b a) in a 11.180 * [taylor]: Taking taylor expansion of b in a 11.180 * [backup-simplify]: Simplify b into b 11.180 * [taylor]: Taking taylor expansion of a in a 11.180 * [backup-simplify]: Simplify 0 into 0 11.180 * [backup-simplify]: Simplify 1 into 1 11.180 * [backup-simplify]: Simplify (- 0) into 0 11.180 * [backup-simplify]: Simplify (+ b 0) into b 11.180 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 11.180 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in b 11.180 * [taylor]: Taking taylor expansion of 1.0 in b 11.180 * [backup-simplify]: Simplify 1.0 into 1.0 11.180 * [taylor]: Taking taylor expansion of (- b a) in b 11.180 * [taylor]: Taking taylor expansion of b in b 11.180 * [backup-simplify]: Simplify 0 into 0 11.180 * [backup-simplify]: Simplify 1 into 1 11.180 * [taylor]: Taking taylor expansion of a in b 11.180 * [backup-simplify]: Simplify a into a 11.180 * [backup-simplify]: Simplify (- a) into (- a) 11.180 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 11.180 * [backup-simplify]: Simplify (/ 1.0 (- a)) into (/ -1.0 a) 11.180 * [taylor]: Taking taylor expansion of (/ 1.0 (- b a)) in b 11.180 * [taylor]: Taking taylor expansion of 1.0 in b 11.180 * [backup-simplify]: Simplify 1.0 into 1.0 11.180 * [taylor]: Taking taylor expansion of (- b a) in b 11.180 * [taylor]: Taking taylor expansion of b in b 11.180 * [backup-simplify]: Simplify 0 into 0 11.180 * [backup-simplify]: Simplify 1 into 1 11.181 * [taylor]: Taking taylor expansion of a in b 11.181 * [backup-simplify]: Simplify a into a 11.181 * [backup-simplify]: Simplify (- a) into (- a) 11.181 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 11.181 * [backup-simplify]: Simplify (/ 1.0 (- a)) into (/ -1.0 a) 11.181 * [taylor]: Taking taylor expansion of (/ -1.0 a) in a 11.181 * [taylor]: Taking taylor expansion of -1.0 in a 11.181 * [backup-simplify]: Simplify -1.0 into -1.0 11.181 * [taylor]: Taking taylor expansion of a in a 11.181 * [backup-simplify]: Simplify 0 into 0 11.181 * [backup-simplify]: Simplify 1 into 1 11.181 * [backup-simplify]: Simplify (/ -1.0 1) into -1.0 11.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)))) into 0 11.182 * [backup-simplify]: Simplify 0 into 0 11.182 * [backup-simplify]: Simplify (- 0) into 0 11.182 * [backup-simplify]: Simplify (+ 1 0) into 1 11.182 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1.0 a) (/ 1 (- a))))) into (- (* 1.0 (/ 1 (pow a 2)))) 11.183 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 2)))) in a 11.183 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 11.183 * [taylor]: Taking taylor expansion of 1.0 in a 11.183 * [backup-simplify]: Simplify 1.0 into 1.0 11.183 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 11.183 * [taylor]: Taking taylor expansion of (pow a 2) in a 11.183 * [taylor]: Taking taylor expansion of a in a 11.183 * [backup-simplify]: Simplify 0 into 0 11.183 * [backup-simplify]: Simplify 1 into 1 11.183 * [backup-simplify]: Simplify (* 1 1) into 1 11.183 * [backup-simplify]: Simplify (/ 1 1) into 1 11.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.186 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 11.186 * [backup-simplify]: Simplify (- 0) into 0 11.186 * [backup-simplify]: Simplify 0 into 0 11.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.186 * [backup-simplify]: Simplify 0 into 0 11.187 * [backup-simplify]: Simplify (- 0) into 0 11.187 * [backup-simplify]: Simplify (+ 0 0) into 0 11.187 * [backup-simplify]: Simplify (- (/ 0 (- a)) (+ (* (/ -1.0 a) (/ 0 (- a))) (* (- (* 1.0 (/ 1 (pow a 2)))) (/ 1 (- a))))) into (- (* 1.0 (/ 1 (pow a 3)))) 11.187 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 3)))) in a 11.187 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 3))) in a 11.187 * [taylor]: Taking taylor expansion of 1.0 in a 11.187 * [backup-simplify]: Simplify 1.0 into 1.0 11.187 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 11.187 * [taylor]: Taking taylor expansion of (pow a 3) in a 11.187 * [taylor]: Taking taylor expansion of a in a 11.187 * [backup-simplify]: Simplify 0 into 0 11.187 * [backup-simplify]: Simplify 1 into 1 11.188 * [backup-simplify]: Simplify (* 1 1) into 1 11.188 * [backup-simplify]: Simplify (* 1 1) into 1 11.188 * [backup-simplify]: Simplify (/ 1 1) into 1 11.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.193 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.194 * [backup-simplify]: Simplify (- 0) into 0 11.194 * [backup-simplify]: Simplify 0 into 0 11.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.195 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.196 * [backup-simplify]: Simplify (- 0) into 0 11.196 * [backup-simplify]: Simplify 0 into 0 11.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.196 * [backup-simplify]: Simplify 0 into 0 11.196 * [backup-simplify]: Simplify 0 into 0 11.196 * [backup-simplify]: Simplify (/ 1.0 (- (/ 1 b) (/ 1 a))) into (/ 1.0 (- (/ 1 b) (/ 1 a))) 11.196 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in (b a) around 0 11.197 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in a 11.197 * [taylor]: Taking taylor expansion of 1.0 in a 11.197 * [backup-simplify]: Simplify 1.0 into 1.0 11.197 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 11.197 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.197 * [taylor]: Taking taylor expansion of b in a 11.197 * [backup-simplify]: Simplify b into b 11.197 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.197 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.197 * [taylor]: Taking taylor expansion of a in a 11.197 * [backup-simplify]: Simplify 0 into 0 11.197 * [backup-simplify]: Simplify 1 into 1 11.197 * [backup-simplify]: Simplify (/ 1 1) into 1 11.197 * [backup-simplify]: Simplify (- 1) into -1 11.198 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.198 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 11.198 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in b 11.198 * [taylor]: Taking taylor expansion of 1.0 in b 11.198 * [backup-simplify]: Simplify 1.0 into 1.0 11.198 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 11.198 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.198 * [taylor]: Taking taylor expansion of b in b 11.198 * [backup-simplify]: Simplify 0 into 0 11.198 * [backup-simplify]: Simplify 1 into 1 11.199 * [backup-simplify]: Simplify (/ 1 1) into 1 11.199 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.199 * [taylor]: Taking taylor expansion of a in b 11.199 * [backup-simplify]: Simplify a into a 11.199 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.199 * [backup-simplify]: Simplify (+ 1 0) into 1 11.200 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 11.200 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 b) (/ 1 a))) in b 11.200 * [taylor]: Taking taylor expansion of 1.0 in b 11.200 * [backup-simplify]: Simplify 1.0 into 1.0 11.200 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 11.200 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.200 * [taylor]: Taking taylor expansion of b in b 11.200 * [backup-simplify]: Simplify 0 into 0 11.200 * [backup-simplify]: Simplify 1 into 1 11.201 * [backup-simplify]: Simplify (/ 1 1) into 1 11.201 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.201 * [taylor]: Taking taylor expansion of a in b 11.201 * [backup-simplify]: Simplify a into a 11.201 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.201 * [backup-simplify]: Simplify (+ 1 0) into 1 11.202 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 11.202 * [taylor]: Taking taylor expansion of 1.0 in a 11.202 * [backup-simplify]: Simplify 1.0 into 1.0 11.202 * [backup-simplify]: Simplify 0 into 0 11.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.203 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 11.203 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 11.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ (- (/ 1 a)) 1)))) into (* 1.0 (/ 1 a)) 11.210 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 11.210 * [taylor]: Taking taylor expansion of 1.0 in a 11.210 * [backup-simplify]: Simplify 1.0 into 1.0 11.210 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.210 * [taylor]: Taking taylor expansion of a in a 11.210 * [backup-simplify]: Simplify 0 into 0 11.210 * [backup-simplify]: Simplify 1 into 1 11.211 * [backup-simplify]: Simplify (/ 1 1) into 1 11.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.214 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.214 * [backup-simplify]: Simplify 0 into 0 11.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 11.215 * [backup-simplify]: Simplify (- 0) into 0 11.216 * [backup-simplify]: Simplify (+ 0 0) into 0 11.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* (* 1.0 (/ 1 a)) (/ (- (/ 1 a)) 1)))) into (* 1.0 (/ 1 (pow a 2))) 11.217 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 11.218 * [taylor]: Taking taylor expansion of 1.0 in a 11.218 * [backup-simplify]: Simplify 1.0 into 1.0 11.218 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 11.218 * [taylor]: Taking taylor expansion of (pow a 2) in a 11.218 * [taylor]: Taking taylor expansion of a in a 11.218 * [backup-simplify]: Simplify 0 into 0 11.218 * [backup-simplify]: Simplify 1 into 1 11.218 * [backup-simplify]: Simplify (* 1 1) into 1 11.219 * [backup-simplify]: Simplify (/ 1 1) into 1 11.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.225 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.225 * [backup-simplify]: Simplify 0 into 0 11.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.227 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.227 * [backup-simplify]: Simplify 0 into 0 11.227 * [backup-simplify]: Simplify 0 into 0 11.227 * [backup-simplify]: Simplify 0 into 0 11.228 * [backup-simplify]: Simplify (/ 1.0 (- (/ 1 (- b)) (/ 1 (- a)))) into (/ 1.0 (- (/ 1 a) (/ 1 b))) 11.228 * [approximate]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in (b a) around 0 11.228 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in a 11.228 * [taylor]: Taking taylor expansion of 1.0 in a 11.228 * [backup-simplify]: Simplify 1.0 into 1.0 11.228 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 11.228 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.228 * [taylor]: Taking taylor expansion of a in a 11.228 * [backup-simplify]: Simplify 0 into 0 11.228 * [backup-simplify]: Simplify 1 into 1 11.228 * [backup-simplify]: Simplify (/ 1 1) into 1 11.228 * [taylor]: Taking taylor expansion of (/ 1 b) in a 11.228 * [taylor]: Taking taylor expansion of b in a 11.228 * [backup-simplify]: Simplify b into b 11.228 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 11.229 * [backup-simplify]: Simplify (+ 1 0) into 1 11.229 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 11.229 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in b 11.229 * [taylor]: Taking taylor expansion of 1.0 in b 11.229 * [backup-simplify]: Simplify 1.0 into 1.0 11.229 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 11.229 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.229 * [taylor]: Taking taylor expansion of a in b 11.229 * [backup-simplify]: Simplify a into a 11.230 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.230 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.230 * [taylor]: Taking taylor expansion of b in b 11.230 * [backup-simplify]: Simplify 0 into 0 11.230 * [backup-simplify]: Simplify 1 into 1 11.230 * [backup-simplify]: Simplify (/ 1 1) into 1 11.230 * [backup-simplify]: Simplify (- 1) into -1 11.231 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.231 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 11.231 * [taylor]: Taking taylor expansion of (/ 1.0 (- (/ 1 a) (/ 1 b))) in b 11.231 * [taylor]: Taking taylor expansion of 1.0 in b 11.231 * [backup-simplify]: Simplify 1.0 into 1.0 11.231 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 11.231 * [taylor]: Taking taylor expansion of (/ 1 a) in b 11.231 * [taylor]: Taking taylor expansion of a in b 11.231 * [backup-simplify]: Simplify a into a 11.231 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 11.231 * [taylor]: Taking taylor expansion of (/ 1 b) in b 11.232 * [taylor]: Taking taylor expansion of b in b 11.232 * [backup-simplify]: Simplify 0 into 0 11.232 * [backup-simplify]: Simplify 1 into 1 11.232 * [backup-simplify]: Simplify (/ 1 1) into 1 11.232 * [backup-simplify]: Simplify (- 1) into -1 11.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.233 * [backup-simplify]: Simplify (/ 1.0 -1) into -1.0 11.233 * [taylor]: Taking taylor expansion of -1.0 in a 11.233 * [backup-simplify]: Simplify -1.0 into -1.0 11.233 * [backup-simplify]: Simplify 0 into 0 11.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.234 * [backup-simplify]: Simplify (- 0) into 0 11.235 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 11.235 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ (/ 1 a) -1)))) into (- (* 1.0 (/ 1 a))) 11.235 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a))) in a 11.235 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 11.235 * [taylor]: Taking taylor expansion of 1.0 in a 11.235 * [backup-simplify]: Simplify 1.0 into 1.0 11.235 * [taylor]: Taking taylor expansion of (/ 1 a) in a 11.235 * [taylor]: Taking taylor expansion of a in a 11.235 * [backup-simplify]: Simplify 0 into 0 11.235 * [backup-simplify]: Simplify 1 into 1 11.236 * [backup-simplify]: Simplify (/ 1 1) into 1 11.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.238 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 11.239 * [backup-simplify]: Simplify (- 0) into 0 11.239 * [backup-simplify]: Simplify 0 into 0 11.239 * [backup-simplify]: Simplify 0 into 0 11.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 11.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.240 * [backup-simplify]: Simplify (- 0) into 0 11.241 * [backup-simplify]: Simplify (+ 0 0) into 0 11.242 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1.0 (/ 0 -1)) (* (- (* 1.0 (/ 1 a))) (/ (/ 1 a) -1)))) into (- (* 1.0 (/ 1 (pow a 2)))) 11.242 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 (pow a 2)))) in a 11.242 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (pow a 2))) in a 11.242 * [taylor]: Taking taylor expansion of 1.0 in a 11.242 * [backup-simplify]: Simplify 1.0 into 1.0 11.242 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 11.242 * [taylor]: Taking taylor expansion of (pow a 2) in a 11.242 * [taylor]: Taking taylor expansion of a in a 11.242 * [backup-simplify]: Simplify 0 into 0 11.242 * [backup-simplify]: Simplify 1 into 1 11.243 * [backup-simplify]: Simplify (* 1 1) into 1 11.243 * [backup-simplify]: Simplify (/ 1 1) into 1 11.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 11.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 11.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.249 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.250 * [backup-simplify]: Simplify (- 0) into 0 11.250 * [backup-simplify]: Simplify 0 into 0 11.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.252 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 11.252 * [backup-simplify]: Simplify (- 0) into 0 11.252 * [backup-simplify]: Simplify 0 into 0 11.252 * [backup-simplify]: Simplify 0 into 0 11.252 * [backup-simplify]: Simplify 0 into 0 11.252 * * * [progress]: simplifying candidates 11.271 * [simplify]: Simplifying: (expm1 (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ a b))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ a b))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ a b))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ a b))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ a b))) (- (log 1.0) (log (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ a b))) (log (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a)))) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ a b)) (/ (/ PI 2.0) (+ a b))) (/ (/ PI 2.0) (+ a b))) (/ (* (* 1.0 1.0) 1.0) (* (* (- b a) (- b a)) (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ a b)) (/ (/ PI 2.0) (+ a b))) (/ (/ PI 2.0) (+ a b))) (* (* (/ 1.0 (- b a)) (/ 1.0 (- b a))) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a)))) (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a)))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (cbrt (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (* (* (/ (/ PI 2.0) (+ a b)) 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3) (pow (/ 1.0 b) 3))) (* (- b a) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (- b a) (+ (/ 1.0 a) (/ 1.0 b))) (* (* (/ PI 2.0) (/ 1.0 (- b a))) (- (* 1.0 b) (* a 1.0))) (* (+ a b) (* a b)) (* (* (/ PI 2.0) (/ 1.0 (- b a))) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (+ a b) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* (/ PI 2.0) (/ 1.0 (- b a))) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (+ a b) (+ (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (fma (* (cbrt (/ 1.0 a)) (cbrt (/ 1.0 a))) (cbrt (/ 1.0 a)) (- (* (cbrt (/ 1.0 b)) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b))))))) (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (fma (- (cbrt (/ 1.0 b))) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b))) (* (cbrt (/ 1.0 b)) (* (cbrt (/ 1.0 b)) (cbrt (/ 1.0 b)))))) (* (* (/ (/ PI 2.0) (+ a b)) (/ 1.0 (- b a))) (fma 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1.0) (- (sqrt b) (sqrt a))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (- b a)) (/ (sqrt 1.0) (* (cbrt (- b a)) (cbrt (- b a)))) (/ (sqrt 1.0) (cbrt (- b a))) (/ (sqrt 1.0) (sqrt (- b a))) (/ (sqrt 1.0) (sqrt (- b a))) (sqrt 1.0) (/ (sqrt 1.0) (- b a)) (/ (sqrt 1.0) (+ (sqrt b) (sqrt a))) (/ (sqrt 1.0) (- (sqrt b) (sqrt a))) (sqrt 1.0) (/ (sqrt 1.0) (- b a)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 1.0 (cbrt (- b a))) (/ 1 (sqrt (- b a))) (/ 1.0 (sqrt (- b a))) 1 (/ 1.0 (- b a)) (/ 1 (+ (sqrt b) (sqrt a))) (/ 1.0 (- (sqrt b) (sqrt a))) 1 (/ 1.0 (- b a)) (/ 1 (- b a)) (/ (- b a) 1.0) (/ 1.0 (* (cbrt (- b a)) (cbrt (- b a)))) (/ 1.0 (sqrt (- b a))) 1.0 (/ 1.0 (+ (sqrt b) (sqrt a))) 1.0 (/ (- b a) (cbrt 1.0)) (/ (- b a) (sqrt 1.0)) (/ (- b a) 1.0) (/ 1.0 (- (* b (* b b)) (* a (* a a)))) (/ 1.0 (* (- b a) (+ a b))) 0 0 0 0 0 0 0 0 0 0 0 0 14.355 * * * [progress]: adding candidates to table 19.566 * * [progress]: iteration 3 / 4 19.566 * * * [progress]: picking best candidate 19.609 * * * * [pick]: Picked # 19.609 * * * [progress]: localizing error 19.638 * * * [progress]: generating rewritten candidates 19.638 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 19.818 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1) 19.837 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 20.043 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2) 20.143 * * * [progress]: generating series expansions 20.143 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 20.144 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) 20.144 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in (a b) around 0 20.144 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in b 20.144 * [taylor]: Taking taylor expansion of 0.5 in b 20.144 * [backup-simplify]: Simplify 0.5 into 0.5 20.145 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in b 20.145 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 20.145 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 20.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.145 * [taylor]: Taking taylor expansion of 1.0 in b 20.145 * [backup-simplify]: Simplify 1.0 into 1.0 20.145 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.145 * [taylor]: Taking taylor expansion of a in b 20.145 * [backup-simplify]: Simplify a into a 20.145 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.145 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.145 * [taylor]: Taking taylor expansion of 1.0 in b 20.145 * [backup-simplify]: Simplify 1.0 into 1.0 20.145 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.145 * [taylor]: Taking taylor expansion of b in b 20.145 * [backup-simplify]: Simplify 0 into 0 20.145 * [backup-simplify]: Simplify 1 into 1 20.145 * [backup-simplify]: Simplify (/ 1 1) into 1 20.145 * [taylor]: Taking taylor expansion of PI in b 20.145 * [backup-simplify]: Simplify PI into PI 20.145 * [taylor]: Taking taylor expansion of (+ a b) in b 20.145 * [taylor]: Taking taylor expansion of a in b 20.146 * [backup-simplify]: Simplify a into a 20.146 * [taylor]: Taking taylor expansion of b in b 20.146 * [backup-simplify]: Simplify 0 into 0 20.146 * [backup-simplify]: Simplify 1 into 1 20.146 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.146 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.147 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.148 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 20.148 * [backup-simplify]: Simplify (+ a 0) into a 20.149 * [backup-simplify]: Simplify (/ (* -1.0 PI) a) into (* -1.0 (/ PI a)) 20.149 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in a 20.149 * [taylor]: Taking taylor expansion of 0.5 in a 20.149 * [backup-simplify]: Simplify 0.5 into 0.5 20.149 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in a 20.149 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 20.149 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 20.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.149 * [taylor]: Taking taylor expansion of 1.0 in a 20.149 * [backup-simplify]: Simplify 1.0 into 1.0 20.149 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.149 * [taylor]: Taking taylor expansion of a in a 20.149 * [backup-simplify]: Simplify 0 into 0 20.149 * [backup-simplify]: Simplify 1 into 1 20.149 * [backup-simplify]: Simplify (/ 1 1) into 1 20.149 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.149 * [taylor]: Taking taylor expansion of 1.0 in a 20.150 * [backup-simplify]: Simplify 1.0 into 1.0 20.150 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.150 * [taylor]: Taking taylor expansion of b in a 20.150 * [backup-simplify]: Simplify b into b 20.150 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.150 * [taylor]: Taking taylor expansion of PI in a 20.150 * [backup-simplify]: Simplify PI into PI 20.150 * [taylor]: Taking taylor expansion of (+ a b) in a 20.150 * [taylor]: Taking taylor expansion of a in a 20.150 * [backup-simplify]: Simplify 0 into 0 20.150 * [backup-simplify]: Simplify 1 into 1 20.150 * [taylor]: Taking taylor expansion of b in a 20.150 * [backup-simplify]: Simplify b into b 20.150 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.151 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.151 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 20.151 * [backup-simplify]: Simplify (+ 0 b) into b 20.152 * [backup-simplify]: Simplify (/ (* 1.0 PI) b) into (* 1.0 (/ PI b)) 20.152 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b))) in a 20.152 * [taylor]: Taking taylor expansion of 0.5 in a 20.152 * [backup-simplify]: Simplify 0.5 into 0.5 20.152 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (+ a b)) in a 20.152 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 20.152 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 20.152 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.152 * [taylor]: Taking taylor expansion of 1.0 in a 20.152 * [backup-simplify]: Simplify 1.0 into 1.0 20.152 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.152 * [taylor]: Taking taylor expansion of a in a 20.152 * [backup-simplify]: Simplify 0 into 0 20.152 * [backup-simplify]: Simplify 1 into 1 20.163 * [backup-simplify]: Simplify (/ 1 1) into 1 20.163 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.163 * [taylor]: Taking taylor expansion of 1.0 in a 20.163 * [backup-simplify]: Simplify 1.0 into 1.0 20.163 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.164 * [taylor]: Taking taylor expansion of b in a 20.164 * [backup-simplify]: Simplify b into b 20.164 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.164 * [taylor]: Taking taylor expansion of PI in a 20.164 * [backup-simplify]: Simplify PI into PI 20.164 * [taylor]: Taking taylor expansion of (+ a b) in a 20.164 * [taylor]: Taking taylor expansion of a in a 20.164 * [backup-simplify]: Simplify 0 into 0 20.164 * [backup-simplify]: Simplify 1 into 1 20.164 * [taylor]: Taking taylor expansion of b in a 20.164 * [backup-simplify]: Simplify b into b 20.164 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.165 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.165 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 20.165 * [backup-simplify]: Simplify (+ 0 b) into b 20.166 * [backup-simplify]: Simplify (/ (* 1.0 PI) b) into (* 1.0 (/ PI b)) 20.166 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI b))) into (* 0.5 (/ PI b)) 20.166 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 20.166 * [taylor]: Taking taylor expansion of 0.5 in b 20.166 * [backup-simplify]: Simplify 0.5 into 0.5 20.166 * [taylor]: Taking taylor expansion of (/ PI b) in b 20.166 * [taylor]: Taking taylor expansion of PI in b 20.166 * [backup-simplify]: Simplify PI into PI 20.166 * [taylor]: Taking taylor expansion of b in b 20.166 * [backup-simplify]: Simplify 0 into 0 20.166 * [backup-simplify]: Simplify 1 into 1 20.167 * [backup-simplify]: Simplify (/ PI 1) into PI 20.168 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.169 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.171 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.171 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 20.171 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 20.171 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 20.172 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 20.172 * [backup-simplify]: Simplify (+ 1 0) into 1 20.173 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI b))) b) (+ (* (* 1.0 (/ PI b)) (/ 1 b)))) into (- (* 2.0 (/ PI (pow b 2)))) 20.173 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow b 2))))) (* 0 (* 1.0 (/ PI b)))) into (- (* 1.0 (/ PI (pow b 2)))) 20.173 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow b 2)))) in b 20.173 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 2))) in b 20.173 * [taylor]: Taking taylor expansion of 1.0 in b 20.173 * [backup-simplify]: Simplify 1.0 into 1.0 20.173 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 20.173 * [taylor]: Taking taylor expansion of PI in b 20.173 * [backup-simplify]: Simplify PI into PI 20.173 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.173 * [taylor]: Taking taylor expansion of b in b 20.174 * [backup-simplify]: Simplify 0 into 0 20.174 * [backup-simplify]: Simplify 1 into 1 20.174 * [backup-simplify]: Simplify (* 1 1) into 1 20.174 * [backup-simplify]: Simplify (/ PI 1) into PI 20.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.177 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 20.178 * [backup-simplify]: Simplify (- 0) into 0 20.178 * [backup-simplify]: Simplify 0 into 0 20.179 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.179 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 20.179 * [backup-simplify]: Simplify 0 into 0 20.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.181 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 20.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.182 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 20.183 * [backup-simplify]: Simplify (- 0) into 0 20.183 * [backup-simplify]: Simplify (+ 0 0) into 0 20.184 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 20.184 * [backup-simplify]: Simplify (+ 0 0) into 0 20.185 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1.0 (/ PI b)) (/ 0 b)) (* (- (* 2.0 (/ PI (pow b 2)))) (/ 1 b)))) into (* 2.0 (/ PI (pow b 3))) 20.185 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow b 3)))) (+ (* 0 (- (* 2.0 (/ PI (pow b 2))))) (* 0 (* 1.0 (/ PI b))))) into (* 1.0 (/ PI (pow b 3))) 20.185 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 3))) in b 20.186 * [taylor]: Taking taylor expansion of 1.0 in b 20.186 * [backup-simplify]: Simplify 1.0 into 1.0 20.186 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 20.186 * [taylor]: Taking taylor expansion of PI in b 20.186 * [backup-simplify]: Simplify PI into PI 20.186 * [taylor]: Taking taylor expansion of (pow b 3) in b 20.186 * [taylor]: Taking taylor expansion of b in b 20.186 * [backup-simplify]: Simplify 0 into 0 20.186 * [backup-simplify]: Simplify 1 into 1 20.186 * [backup-simplify]: Simplify (* 1 1) into 1 20.186 * [backup-simplify]: Simplify (* 1 1) into 1 20.187 * [backup-simplify]: Simplify (/ PI 1) into PI 20.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.190 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.193 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.193 * [backup-simplify]: Simplify 0 into 0 20.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.196 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.197 * [backup-simplify]: Simplify (- 0) into 0 20.197 * [backup-simplify]: Simplify 0 into 0 20.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.199 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.199 * [backup-simplify]: Simplify 0 into 0 20.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.201 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.202 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 20.202 * [backup-simplify]: Simplify (- 0) into 0 20.203 * [backup-simplify]: Simplify (+ 0 0) into 0 20.204 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (+ (* 0 0) (* 0 PI)))) into 0 20.204 * [backup-simplify]: Simplify (+ 0 0) into 0 20.205 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (* 1.0 (/ PI b)) (/ 0 b)) (* (- (* 2.0 (/ PI (pow b 2)))) (/ 0 b)) (* (* 2.0 (/ PI (pow b 3))) (/ 1 b)))) into (- (* 2.0 (/ PI (pow b 4)))) 20.206 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI (pow b 4))))) (+ (* 0 (* 2.0 (/ PI (pow b 3)))) (+ (* 0 (- (* 2.0 (/ PI (pow b 2))))) (* 0 (* 1.0 (/ PI b)))))) into (- (* 1.0 (/ PI (pow b 4)))) 20.206 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI (pow b 4)))) in b 20.206 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 4))) in b 20.206 * [taylor]: Taking taylor expansion of 1.0 in b 20.206 * [backup-simplify]: Simplify 1.0 into 1.0 20.206 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 20.206 * [taylor]: Taking taylor expansion of PI in b 20.206 * [backup-simplify]: Simplify PI into PI 20.206 * [taylor]: Taking taylor expansion of (pow b 4) in b 20.206 * [taylor]: Taking taylor expansion of b in b 20.206 * [backup-simplify]: Simplify 0 into 0 20.206 * [backup-simplify]: Simplify 1 into 1 20.207 * [backup-simplify]: Simplify (* 1 1) into 1 20.207 * [backup-simplify]: Simplify (* 1 1) into 1 20.208 * [backup-simplify]: Simplify (/ PI 1) into PI 20.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.217 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.217 * [backup-simplify]: Simplify (- 0) into 0 20.217 * [backup-simplify]: Simplify 0 into 0 20.218 * [backup-simplify]: Simplify (* (* 0.5 PI) (* (/ 1 b) (/ 1 a))) into (* 0.5 (/ PI (* a b))) 20.219 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) 1.0) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) 20.219 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 20.219 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in b 20.219 * [taylor]: Taking taylor expansion of 0.5 in b 20.219 * [backup-simplify]: Simplify 0.5 into 0.5 20.219 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in b 20.219 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 20.219 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 20.219 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.219 * [taylor]: Taking taylor expansion of 1.0 in b 20.219 * [backup-simplify]: Simplify 1.0 into 1.0 20.219 * [taylor]: Taking taylor expansion of a in b 20.219 * [backup-simplify]: Simplify a into a 20.219 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.220 * [taylor]: Taking taylor expansion of 1.0 in b 20.220 * [backup-simplify]: Simplify 1.0 into 1.0 20.220 * [taylor]: Taking taylor expansion of b in b 20.220 * [backup-simplify]: Simplify 0 into 0 20.220 * [backup-simplify]: Simplify 1 into 1 20.220 * [taylor]: Taking taylor expansion of PI in b 20.220 * [backup-simplify]: Simplify PI into PI 20.220 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.220 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.220 * [taylor]: Taking taylor expansion of a in b 20.220 * [backup-simplify]: Simplify a into a 20.220 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.220 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.220 * [taylor]: Taking taylor expansion of b in b 20.220 * [backup-simplify]: Simplify 0 into 0 20.220 * [backup-simplify]: Simplify 1 into 1 20.220 * [backup-simplify]: Simplify (/ 1 1) into 1 20.220 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 20.221 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.221 * [backup-simplify]: Simplify (- 0) into 0 20.221 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 20.221 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 20.222 * [backup-simplify]: Simplify (+ 0 1) into 1 20.222 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 20.222 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in a 20.222 * [taylor]: Taking taylor expansion of 0.5 in a 20.222 * [backup-simplify]: Simplify 0.5 into 0.5 20.222 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 20.222 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 20.222 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 20.222 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.222 * [taylor]: Taking taylor expansion of 1.0 in a 20.222 * [backup-simplify]: Simplify 1.0 into 1.0 20.222 * [taylor]: Taking taylor expansion of a in a 20.222 * [backup-simplify]: Simplify 0 into 0 20.222 * [backup-simplify]: Simplify 1 into 1 20.222 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.222 * [taylor]: Taking taylor expansion of 1.0 in a 20.222 * [backup-simplify]: Simplify 1.0 into 1.0 20.222 * [taylor]: Taking taylor expansion of b in a 20.223 * [backup-simplify]: Simplify b into b 20.223 * [taylor]: Taking taylor expansion of PI in a 20.223 * [backup-simplify]: Simplify PI into PI 20.223 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.223 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.223 * [taylor]: Taking taylor expansion of a in a 20.223 * [backup-simplify]: Simplify 0 into 0 20.223 * [backup-simplify]: Simplify 1 into 1 20.223 * [backup-simplify]: Simplify (/ 1 1) into 1 20.223 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.223 * [taylor]: Taking taylor expansion of b in a 20.223 * [backup-simplify]: Simplify b into b 20.223 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.224 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.224 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.224 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 20.224 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 20.224 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 20.225 * [backup-simplify]: Simplify (+ 1 0) into 1 20.225 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) 1) into (* -1.0 (* b PI)) 20.225 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b)))) in a 20.225 * [taylor]: Taking taylor expansion of 0.5 in a 20.225 * [backup-simplify]: Simplify 0.5 into 0.5 20.225 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (+ (/ 1 a) (/ 1 b))) in a 20.225 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 20.225 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 20.225 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.225 * [taylor]: Taking taylor expansion of 1.0 in a 20.225 * [backup-simplify]: Simplify 1.0 into 1.0 20.225 * [taylor]: Taking taylor expansion of a in a 20.225 * [backup-simplify]: Simplify 0 into 0 20.225 * [backup-simplify]: Simplify 1 into 1 20.225 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.225 * [taylor]: Taking taylor expansion of 1.0 in a 20.225 * [backup-simplify]: Simplify 1.0 into 1.0 20.225 * [taylor]: Taking taylor expansion of b in a 20.225 * [backup-simplify]: Simplify b into b 20.225 * [taylor]: Taking taylor expansion of PI in a 20.225 * [backup-simplify]: Simplify PI into PI 20.225 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.225 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.225 * [taylor]: Taking taylor expansion of a in a 20.225 * [backup-simplify]: Simplify 0 into 0 20.225 * [backup-simplify]: Simplify 1 into 1 20.226 * [backup-simplify]: Simplify (/ 1 1) into 1 20.226 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.226 * [taylor]: Taking taylor expansion of b in a 20.226 * [backup-simplify]: Simplify b into b 20.226 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.226 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.226 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.227 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 20.227 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 20.227 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 20.227 * [backup-simplify]: Simplify (+ 1 0) into 1 20.227 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) 1) into (* -1.0 (* b PI)) 20.227 * [backup-simplify]: Simplify (* 0.5 (* -1.0 (* b PI))) into (* -0.5 (* PI b)) 20.228 * [taylor]: Taking taylor expansion of (* -0.5 (* PI b)) in b 20.228 * [taylor]: Taking taylor expansion of -0.5 in b 20.228 * [backup-simplify]: Simplify -0.5 into -0.5 20.228 * [taylor]: Taking taylor expansion of (* PI b) in b 20.228 * [taylor]: Taking taylor expansion of PI in b 20.228 * [backup-simplify]: Simplify PI into PI 20.228 * [taylor]: Taking taylor expansion of b in b 20.228 * [backup-simplify]: Simplify 0 into 0 20.228 * [backup-simplify]: Simplify 1 into 1 20.229 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 20.230 * [backup-simplify]: Simplify (* PI 0) into 0 20.231 * [backup-simplify]: Simplify (+ (* -0.5 PI) (* 0 0)) into (- (* 0.5 PI)) 20.233 * [backup-simplify]: Simplify (- (* 0.5 PI)) into (- (* 0.5 PI)) 20.234 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.235 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 20.235 * [backup-simplify]: Simplify (- 0) into 0 20.236 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.236 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (* 1.0 PI)) into (* 1.0 PI) 20.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.237 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 20.238 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) 1) (+ (* (* -1.0 (* b PI)) (/ (/ 1 b) 1)))) into (* 2.0 PI) 20.240 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 PI)) (* 0 (* -1.0 (* b PI)))) into (* 1.0 PI) 20.240 * [taylor]: Taking taylor expansion of (* 1.0 PI) in b 20.240 * [taylor]: Taking taylor expansion of 1.0 in b 20.240 * [backup-simplify]: Simplify 1.0 into 1.0 20.240 * [taylor]: Taking taylor expansion of PI in b 20.240 * [backup-simplify]: Simplify PI into PI 20.241 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 20.241 * [backup-simplify]: Simplify 0 into 0 20.242 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 20.243 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 20.243 * [backup-simplify]: Simplify 0 into 0 20.244 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.245 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 20.245 * [backup-simplify]: Simplify (- 0) into 0 20.246 * [backup-simplify]: Simplify (+ 0 0) into 0 20.247 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 20.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.248 * [backup-simplify]: Simplify (+ 0 0) into 0 20.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* b PI)) (/ 0 1)) (* (* 2.0 PI) (/ (/ 1 b) 1)))) into (- (* 2.0 (/ PI b))) 20.251 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 2.0 (/ PI b)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* b PI))))) into (- (* 1.0 (/ PI b))) 20.251 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI b))) in b 20.251 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI b)) in b 20.251 * [taylor]: Taking taylor expansion of 1.0 in b 20.251 * [backup-simplify]: Simplify 1.0 into 1.0 20.251 * [taylor]: Taking taylor expansion of (/ PI b) in b 20.251 * [taylor]: Taking taylor expansion of PI in b 20.251 * [backup-simplify]: Simplify PI into PI 20.251 * [taylor]: Taking taylor expansion of b in b 20.251 * [backup-simplify]: Simplify 0 into 0 20.251 * [backup-simplify]: Simplify 1 into 1 20.252 * [backup-simplify]: Simplify (/ PI 1) into PI 20.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.255 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.255 * [backup-simplify]: Simplify (- 0) into 0 20.255 * [backup-simplify]: Simplify 0 into 0 20.256 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.256 * [backup-simplify]: Simplify 0 into 0 20.258 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.259 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 20.259 * [backup-simplify]: Simplify 0 into 0 20.260 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.261 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 20.262 * [backup-simplify]: Simplify (- 0) into 0 20.262 * [backup-simplify]: Simplify (+ 0 0) into 0 20.263 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.265 * [backup-simplify]: Simplify (+ 0 0) into 0 20.267 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* -1.0 (* b PI)) (/ 0 1)) (* (* 2.0 PI) (/ 0 1)) (* (- (* 2.0 (/ PI b))) (/ (/ 1 b) 1)))) into (* 2.0 (/ PI (pow b 2))) 20.268 * [backup-simplify]: Simplify (+ (* 0.5 (* 2.0 (/ PI (pow b 2)))) (+ (* 0 (- (* 2.0 (/ PI b)))) (+ (* 0 (* 2.0 PI)) (* 0 (* -1.0 (* b PI)))))) into (* 1.0 (/ PI (pow b 2))) 20.268 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 2))) in b 20.268 * [taylor]: Taking taylor expansion of 1.0 in b 20.269 * [backup-simplify]: Simplify 1.0 into 1.0 20.269 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 20.269 * [taylor]: Taking taylor expansion of PI in b 20.269 * [backup-simplify]: Simplify PI into PI 20.269 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.269 * [taylor]: Taking taylor expansion of b in b 20.269 * [backup-simplify]: Simplify 0 into 0 20.269 * [backup-simplify]: Simplify 1 into 1 20.269 * [backup-simplify]: Simplify (* 1 1) into 1 20.270 * [backup-simplify]: Simplify (/ PI 1) into PI 20.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.277 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.277 * [backup-simplify]: Simplify 0 into 0 20.278 * [backup-simplify]: Simplify (* (- (* 0.5 PI)) (* (/ 1 b) (/ 1 a))) into (* -0.5 (/ PI (* a b))) 20.279 * [backup-simplify]: Simplify (* (* (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) 1.0) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) 20.279 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 20.279 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in b 20.279 * [taylor]: Taking taylor expansion of -0.5 in b 20.279 * [backup-simplify]: Simplify -0.5 into -0.5 20.279 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b))) in b 20.279 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 20.279 * [taylor]: Taking taylor expansion of PI in b 20.279 * [backup-simplify]: Simplify PI into PI 20.279 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 20.279 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.279 * [taylor]: Taking taylor expansion of 1.0 in b 20.279 * [backup-simplify]: Simplify 1.0 into 1.0 20.279 * [taylor]: Taking taylor expansion of b in b 20.279 * [backup-simplify]: Simplify 0 into 0 20.279 * [backup-simplify]: Simplify 1 into 1 20.279 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.279 * [taylor]: Taking taylor expansion of 1.0 in b 20.279 * [backup-simplify]: Simplify 1.0 into 1.0 20.279 * [taylor]: Taking taylor expansion of a in b 20.279 * [backup-simplify]: Simplify a into a 20.279 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.279 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.279 * [taylor]: Taking taylor expansion of a in b 20.279 * [backup-simplify]: Simplify a into a 20.280 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.280 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.280 * [taylor]: Taking taylor expansion of b in b 20.280 * [backup-simplify]: Simplify 0 into 0 20.280 * [backup-simplify]: Simplify 1 into 1 20.280 * [backup-simplify]: Simplify (/ 1 1) into 1 20.280 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.280 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 20.281 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 20.281 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 20.281 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 20.281 * [backup-simplify]: Simplify (+ 0 1) into 1 20.281 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) 1) into (* -1.0 (* a PI)) 20.281 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in a 20.281 * [taylor]: Taking taylor expansion of -0.5 in a 20.281 * [backup-simplify]: Simplify -0.5 into -0.5 20.281 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b))) in a 20.281 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 20.281 * [taylor]: Taking taylor expansion of PI in a 20.281 * [backup-simplify]: Simplify PI into PI 20.281 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 20.281 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.281 * [taylor]: Taking taylor expansion of 1.0 in a 20.281 * [backup-simplify]: Simplify 1.0 into 1.0 20.281 * [taylor]: Taking taylor expansion of b in a 20.281 * [backup-simplify]: Simplify b into b 20.281 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.281 * [taylor]: Taking taylor expansion of 1.0 in a 20.281 * [backup-simplify]: Simplify 1.0 into 1.0 20.281 * [taylor]: Taking taylor expansion of a in a 20.281 * [backup-simplify]: Simplify 0 into 0 20.281 * [backup-simplify]: Simplify 1 into 1 20.281 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.282 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.282 * [taylor]: Taking taylor expansion of a in a 20.282 * [backup-simplify]: Simplify 0 into 0 20.282 * [backup-simplify]: Simplify 1 into 1 20.282 * [backup-simplify]: Simplify (/ 1 1) into 1 20.282 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.282 * [taylor]: Taking taylor expansion of b in a 20.282 * [backup-simplify]: Simplify b into b 20.282 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.282 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.282 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.283 * [backup-simplify]: Simplify (- 0) into 0 20.283 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 20.283 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 20.283 * [backup-simplify]: Simplify (+ 1 0) into 1 20.283 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 20.283 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b)))) in a 20.283 * [taylor]: Taking taylor expansion of -0.5 in a 20.283 * [backup-simplify]: Simplify -0.5 into -0.5 20.283 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (+ (/ 1 a) (/ 1 b))) in a 20.283 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 20.283 * [taylor]: Taking taylor expansion of PI in a 20.283 * [backup-simplify]: Simplify PI into PI 20.283 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 20.283 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.283 * [taylor]: Taking taylor expansion of 1.0 in a 20.283 * [backup-simplify]: Simplify 1.0 into 1.0 20.283 * [taylor]: Taking taylor expansion of b in a 20.283 * [backup-simplify]: Simplify b into b 20.283 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.284 * [taylor]: Taking taylor expansion of 1.0 in a 20.284 * [backup-simplify]: Simplify 1.0 into 1.0 20.284 * [taylor]: Taking taylor expansion of a in a 20.284 * [backup-simplify]: Simplify 0 into 0 20.284 * [backup-simplify]: Simplify 1 into 1 20.284 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.284 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.284 * [taylor]: Taking taylor expansion of a in a 20.284 * [backup-simplify]: Simplify 0 into 0 20.284 * [backup-simplify]: Simplify 1 into 1 20.284 * [backup-simplify]: Simplify (/ 1 1) into 1 20.284 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.284 * [taylor]: Taking taylor expansion of b in a 20.284 * [backup-simplify]: Simplify b into b 20.284 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.284 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.284 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.285 * [backup-simplify]: Simplify (- 0) into 0 20.285 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 20.285 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 20.285 * [backup-simplify]: Simplify (+ 1 0) into 1 20.285 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 20.285 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 20.285 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 20.285 * [taylor]: Taking taylor expansion of -0.5 in b 20.285 * [backup-simplify]: Simplify -0.5 into -0.5 20.285 * [taylor]: Taking taylor expansion of (* b PI) in b 20.285 * [taylor]: Taking taylor expansion of b in b 20.285 * [backup-simplify]: Simplify 0 into 0 20.285 * [backup-simplify]: Simplify 1 into 1 20.285 * [taylor]: Taking taylor expansion of PI in b 20.285 * [backup-simplify]: Simplify PI into PI 20.286 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 20.287 * [backup-simplify]: Simplify (* 0 PI) into 0 20.287 * [backup-simplify]: Simplify (+ (* -0.5 PI) (* 0 0)) into (- (* 0.5 PI)) 20.288 * [backup-simplify]: Simplify (- (* 0.5 PI)) into (- (* 0.5 PI)) 20.288 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 20.289 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.289 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.290 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.291 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 20.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.291 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 20.292 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ (/ 1 b) 1)))) into (- (* 2.0 PI)) 20.294 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 1.0 PI) 20.294 * [taylor]: Taking taylor expansion of (* 1.0 PI) in b 20.294 * [taylor]: Taking taylor expansion of 1.0 in b 20.294 * [backup-simplify]: Simplify 1.0 into 1.0 20.294 * [taylor]: Taking taylor expansion of PI in b 20.294 * [backup-simplify]: Simplify PI into PI 20.294 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 PI)) into 0 20.294 * [backup-simplify]: Simplify 0 into 0 20.295 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 20.295 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 20.295 * [backup-simplify]: Simplify 0 into 0 20.296 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 20.296 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.297 * [backup-simplify]: Simplify (- 0) into 0 20.297 * [backup-simplify]: Simplify (+ 0 0) into 0 20.298 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 20.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.298 * [backup-simplify]: Simplify (+ 0 0) into 0 20.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)) (* (- (* 2.0 PI)) (/ (/ 1 b) 1)))) into (* 2.0 (/ PI b)) 20.304 * [backup-simplify]: Simplify (+ (* -0.5 (* 2.0 (/ PI b))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 1.0 (/ PI b))) 20.304 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ PI b))) in b 20.304 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI b)) in b 20.304 * [taylor]: Taking taylor expansion of 1.0 in b 20.304 * [backup-simplify]: Simplify 1.0 into 1.0 20.304 * [taylor]: Taking taylor expansion of (/ PI b) in b 20.304 * [taylor]: Taking taylor expansion of PI in b 20.304 * [backup-simplify]: Simplify PI into PI 20.304 * [taylor]: Taking taylor expansion of b in b 20.304 * [backup-simplify]: Simplify 0 into 0 20.304 * [backup-simplify]: Simplify 1 into 1 20.305 * [backup-simplify]: Simplify (/ PI 1) into PI 20.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.307 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.307 * [backup-simplify]: Simplify (- 0) into 0 20.307 * [backup-simplify]: Simplify 0 into 0 20.308 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 PI))) into 0 20.308 * [backup-simplify]: Simplify 0 into 0 20.308 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 20.309 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 20.309 * [backup-simplify]: Simplify 0 into 0 20.310 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 20.311 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.312 * [backup-simplify]: Simplify (- 0) into 0 20.312 * [backup-simplify]: Simplify (+ 0 0) into 0 20.313 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b))))) into 0 20.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.315 * [backup-simplify]: Simplify (+ 0 0) into 0 20.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)) (* (- (* 2.0 PI)) (/ 0 1)) (* (* 2.0 (/ PI b)) (/ (/ 1 b) 1)))) into (- (* 2.0 (/ PI (pow b 2)))) 20.318 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 2.0 (/ PI (pow b 2))))) (+ (* 0 (* 2.0 (/ PI b))) (+ (* 0 (- (* 2.0 PI))) (* 0 (* 1.0 (* PI b)))))) into (* 1.0 (/ PI (pow b 2))) 20.318 * [taylor]: Taking taylor expansion of (* 1.0 (/ PI (pow b 2))) in b 20.318 * [taylor]: Taking taylor expansion of 1.0 in b 20.318 * [backup-simplify]: Simplify 1.0 into 1.0 20.318 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 20.318 * [taylor]: Taking taylor expansion of PI in b 20.318 * [backup-simplify]: Simplify PI into PI 20.318 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.318 * [taylor]: Taking taylor expansion of b in b 20.318 * [backup-simplify]: Simplify 0 into 0 20.318 * [backup-simplify]: Simplify 1 into 1 20.319 * [backup-simplify]: Simplify (* 1 1) into 1 20.319 * [backup-simplify]: Simplify (/ PI 1) into PI 20.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.326 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.326 * [backup-simplify]: Simplify 0 into 0 20.327 * [backup-simplify]: Simplify (* (- (* 0.5 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ PI (* a b))) 20.327 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1) 20.328 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ a b)) into (* 0.5 (/ PI (+ a b))) 20.328 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (a b) around 0 20.328 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 20.328 * [taylor]: Taking taylor expansion of 0.5 in b 20.328 * [backup-simplify]: Simplify 0.5 into 0.5 20.328 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 20.328 * [taylor]: Taking taylor expansion of PI in b 20.328 * [backup-simplify]: Simplify PI into PI 20.328 * [taylor]: Taking taylor expansion of (+ a b) in b 20.328 * [taylor]: Taking taylor expansion of a in b 20.328 * [backup-simplify]: Simplify a into a 20.328 * [taylor]: Taking taylor expansion of b in b 20.328 * [backup-simplify]: Simplify 0 into 0 20.328 * [backup-simplify]: Simplify 1 into 1 20.328 * [backup-simplify]: Simplify (+ a 0) into a 20.328 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 20.328 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 20.328 * [taylor]: Taking taylor expansion of 0.5 in a 20.328 * [backup-simplify]: Simplify 0.5 into 0.5 20.328 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 20.328 * [taylor]: Taking taylor expansion of PI in a 20.328 * [backup-simplify]: Simplify PI into PI 20.329 * [taylor]: Taking taylor expansion of (+ a b) in a 20.329 * [taylor]: Taking taylor expansion of a in a 20.329 * [backup-simplify]: Simplify 0 into 0 20.329 * [backup-simplify]: Simplify 1 into 1 20.329 * [taylor]: Taking taylor expansion of b in a 20.329 * [backup-simplify]: Simplify b into b 20.329 * [backup-simplify]: Simplify (+ 0 b) into b 20.329 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 20.329 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 20.329 * [taylor]: Taking taylor expansion of 0.5 in a 20.329 * [backup-simplify]: Simplify 0.5 into 0.5 20.329 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 20.329 * [taylor]: Taking taylor expansion of PI in a 20.329 * [backup-simplify]: Simplify PI into PI 20.329 * [taylor]: Taking taylor expansion of (+ a b) in a 20.329 * [taylor]: Taking taylor expansion of a in a 20.329 * [backup-simplify]: Simplify 0 into 0 20.329 * [backup-simplify]: Simplify 1 into 1 20.329 * [taylor]: Taking taylor expansion of b in a 20.329 * [backup-simplify]: Simplify b into b 20.329 * [backup-simplify]: Simplify (+ 0 b) into b 20.329 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 20.329 * [backup-simplify]: Simplify (* 0.5 (/ PI b)) into (* 0.5 (/ PI b)) 20.329 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 20.329 * [taylor]: Taking taylor expansion of 0.5 in b 20.329 * [backup-simplify]: Simplify 0.5 into 0.5 20.329 * [taylor]: Taking taylor expansion of (/ PI b) in b 20.329 * [taylor]: Taking taylor expansion of PI in b 20.329 * [backup-simplify]: Simplify PI into PI 20.330 * [taylor]: Taking taylor expansion of b in b 20.330 * [backup-simplify]: Simplify 0 into 0 20.330 * [backup-simplify]: Simplify 1 into 1 20.330 * [backup-simplify]: Simplify (/ PI 1) into PI 20.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.332 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 20.332 * [backup-simplify]: Simplify 0 into 0 20.332 * [backup-simplify]: Simplify (+ 1 0) into 1 20.333 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 20.333 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 0.5 (/ PI (pow b 2)))) 20.333 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 20.333 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 20.333 * [taylor]: Taking taylor expansion of 0.5 in b 20.333 * [backup-simplify]: Simplify 0.5 into 0.5 20.333 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 20.333 * [taylor]: Taking taylor expansion of PI in b 20.333 * [backup-simplify]: Simplify PI into PI 20.333 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.333 * [taylor]: Taking taylor expansion of b in b 20.333 * [backup-simplify]: Simplify 0 into 0 20.333 * [backup-simplify]: Simplify 1 into 1 20.334 * [backup-simplify]: Simplify (* 1 1) into 1 20.334 * [backup-simplify]: Simplify (/ PI 1) into PI 20.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.338 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.338 * [backup-simplify]: Simplify (- 0) into 0 20.338 * [backup-simplify]: Simplify 0 into 0 20.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.339 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.339 * [backup-simplify]: Simplify 0 into 0 20.340 * [backup-simplify]: Simplify (+ 0 0) into 0 20.340 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 20.340 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 0.5 (/ PI (pow b 3))) 20.340 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 20.340 * [taylor]: Taking taylor expansion of 0.5 in b 20.340 * [backup-simplify]: Simplify 0.5 into 0.5 20.340 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 20.340 * [taylor]: Taking taylor expansion of PI in b 20.340 * [backup-simplify]: Simplify PI into PI 20.340 * [taylor]: Taking taylor expansion of (pow b 3) in b 20.340 * [taylor]: Taking taylor expansion of b in b 20.340 * [backup-simplify]: Simplify 0 into 0 20.340 * [backup-simplify]: Simplify 1 into 1 20.341 * [backup-simplify]: Simplify (* 1 1) into 1 20.341 * [backup-simplify]: Simplify (* 1 1) into 1 20.341 * [backup-simplify]: Simplify (/ PI 1) into PI 20.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.348 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.349 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.349 * [backup-simplify]: Simplify 0 into 0 20.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.350 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.351 * [backup-simplify]: Simplify (- 0) into 0 20.351 * [backup-simplify]: Simplify 0 into 0 20.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.352 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.352 * [backup-simplify]: Simplify 0 into 0 20.352 * [backup-simplify]: Simplify 0 into 0 20.352 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 20.352 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 20.352 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 20.353 * [taylor]: Taking taylor expansion of 0.5 in b 20.353 * [backup-simplify]: Simplify 0.5 into 0.5 20.353 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 20.353 * [taylor]: Taking taylor expansion of PI in b 20.353 * [backup-simplify]: Simplify PI into PI 20.353 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.353 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.353 * [taylor]: Taking taylor expansion of a in b 20.353 * [backup-simplify]: Simplify a into a 20.353 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.353 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.353 * [taylor]: Taking taylor expansion of b in b 20.353 * [backup-simplify]: Simplify 0 into 0 20.353 * [backup-simplify]: Simplify 1 into 1 20.353 * [backup-simplify]: Simplify (/ 1 1) into 1 20.353 * [backup-simplify]: Simplify (+ 0 1) into 1 20.354 * [backup-simplify]: Simplify (/ PI 1) into PI 20.354 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 20.354 * [taylor]: Taking taylor expansion of 0.5 in a 20.354 * [backup-simplify]: Simplify 0.5 into 0.5 20.354 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 20.354 * [taylor]: Taking taylor expansion of PI in a 20.354 * [backup-simplify]: Simplify PI into PI 20.354 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.354 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.354 * [taylor]: Taking taylor expansion of a in a 20.354 * [backup-simplify]: Simplify 0 into 0 20.354 * [backup-simplify]: Simplify 1 into 1 20.354 * [backup-simplify]: Simplify (/ 1 1) into 1 20.354 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.354 * [taylor]: Taking taylor expansion of b in a 20.354 * [backup-simplify]: Simplify b into b 20.354 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.354 * [backup-simplify]: Simplify (+ 1 0) into 1 20.355 * [backup-simplify]: Simplify (/ PI 1) into PI 20.355 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 20.355 * [taylor]: Taking taylor expansion of 0.5 in a 20.355 * [backup-simplify]: Simplify 0.5 into 0.5 20.355 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 20.355 * [taylor]: Taking taylor expansion of PI in a 20.355 * [backup-simplify]: Simplify PI into PI 20.355 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.355 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.355 * [taylor]: Taking taylor expansion of a in a 20.355 * [backup-simplify]: Simplify 0 into 0 20.355 * [backup-simplify]: Simplify 1 into 1 20.355 * [backup-simplify]: Simplify (/ 1 1) into 1 20.355 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.355 * [taylor]: Taking taylor expansion of b in a 20.355 * [backup-simplify]: Simplify b into b 20.355 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.355 * [backup-simplify]: Simplify (+ 1 0) into 1 20.356 * [backup-simplify]: Simplify (/ PI 1) into PI 20.356 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 20.356 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 20.356 * [taylor]: Taking taylor expansion of 0.5 in b 20.356 * [backup-simplify]: Simplify 0.5 into 0.5 20.356 * [taylor]: Taking taylor expansion of PI in b 20.356 * [backup-simplify]: Simplify PI into PI 20.357 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 20.357 * [backup-simplify]: Simplify 0 into 0 20.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.357 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 20.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 20.358 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI b))) (* 0 PI)) into (- (* 0.5 (/ PI b))) 20.358 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 20.358 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 20.358 * [taylor]: Taking taylor expansion of 0.5 in b 20.358 * [backup-simplify]: Simplify 0.5 into 0.5 20.358 * [taylor]: Taking taylor expansion of (/ PI b) in b 20.358 * [taylor]: Taking taylor expansion of PI in b 20.358 * [backup-simplify]: Simplify PI into PI 20.358 * [taylor]: Taking taylor expansion of b in b 20.358 * [backup-simplify]: Simplify 0 into 0 20.358 * [backup-simplify]: Simplify 1 into 1 20.358 * [backup-simplify]: Simplify (/ PI 1) into PI 20.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.360 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.360 * [backup-simplify]: Simplify (- 0) into 0 20.360 * [backup-simplify]: Simplify 0 into 0 20.361 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.361 * [backup-simplify]: Simplify 0 into 0 20.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.362 * [backup-simplify]: Simplify (+ 0 0) into 0 20.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 20.363 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 0.5 (/ PI (pow b 2))) 20.363 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 20.363 * [taylor]: Taking taylor expansion of 0.5 in b 20.363 * [backup-simplify]: Simplify 0.5 into 0.5 20.363 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 20.363 * [taylor]: Taking taylor expansion of PI in b 20.363 * [backup-simplify]: Simplify PI into PI 20.363 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.364 * [taylor]: Taking taylor expansion of b in b 20.364 * [backup-simplify]: Simplify 0 into 0 20.364 * [backup-simplify]: Simplify 1 into 1 20.364 * [backup-simplify]: Simplify (* 1 1) into 1 20.364 * [backup-simplify]: Simplify (/ PI 1) into PI 20.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.368 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.368 * [backup-simplify]: Simplify 0 into 0 20.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.369 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.370 * [backup-simplify]: Simplify (- 0) into 0 20.370 * [backup-simplify]: Simplify 0 into 0 20.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.370 * [backup-simplify]: Simplify 0 into 0 20.370 * [backup-simplify]: Simplify 0 into 0 20.371 * [backup-simplify]: Simplify (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 20.371 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 20.371 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 20.371 * [taylor]: Taking taylor expansion of -0.5 in b 20.371 * [backup-simplify]: Simplify -0.5 into -0.5 20.371 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 20.371 * [taylor]: Taking taylor expansion of PI in b 20.371 * [backup-simplify]: Simplify PI into PI 20.371 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.371 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.371 * [taylor]: Taking taylor expansion of a in b 20.371 * [backup-simplify]: Simplify a into a 20.371 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.371 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.371 * [taylor]: Taking taylor expansion of b in b 20.371 * [backup-simplify]: Simplify 0 into 0 20.371 * [backup-simplify]: Simplify 1 into 1 20.371 * [backup-simplify]: Simplify (/ 1 1) into 1 20.372 * [backup-simplify]: Simplify (+ 0 1) into 1 20.372 * [backup-simplify]: Simplify (/ PI 1) into PI 20.372 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 20.372 * [taylor]: Taking taylor expansion of -0.5 in a 20.372 * [backup-simplify]: Simplify -0.5 into -0.5 20.372 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 20.372 * [taylor]: Taking taylor expansion of PI in a 20.372 * [backup-simplify]: Simplify PI into PI 20.372 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.372 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.372 * [taylor]: Taking taylor expansion of a in a 20.372 * [backup-simplify]: Simplify 0 into 0 20.372 * [backup-simplify]: Simplify 1 into 1 20.372 * [backup-simplify]: Simplify (/ 1 1) into 1 20.372 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.372 * [taylor]: Taking taylor expansion of b in a 20.372 * [backup-simplify]: Simplify b into b 20.372 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.373 * [backup-simplify]: Simplify (+ 1 0) into 1 20.373 * [backup-simplify]: Simplify (/ PI 1) into PI 20.373 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 20.373 * [taylor]: Taking taylor expansion of -0.5 in a 20.373 * [backup-simplify]: Simplify -0.5 into -0.5 20.373 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 20.373 * [taylor]: Taking taylor expansion of PI in a 20.373 * [backup-simplify]: Simplify PI into PI 20.373 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.373 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.373 * [taylor]: Taking taylor expansion of a in a 20.373 * [backup-simplify]: Simplify 0 into 0 20.373 * [backup-simplify]: Simplify 1 into 1 20.373 * [backup-simplify]: Simplify (/ 1 1) into 1 20.373 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.373 * [taylor]: Taking taylor expansion of b in a 20.373 * [backup-simplify]: Simplify b into b 20.373 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.374 * [backup-simplify]: Simplify (+ 1 0) into 1 20.374 * [backup-simplify]: Simplify (/ PI 1) into PI 20.374 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 20.374 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 20.374 * [taylor]: Taking taylor expansion of -0.5 in b 20.374 * [backup-simplify]: Simplify -0.5 into -0.5 20.375 * [taylor]: Taking taylor expansion of PI in b 20.375 * [backup-simplify]: Simplify PI into PI 20.375 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 20.375 * [backup-simplify]: Simplify 0 into 0 20.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.376 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 20.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 20.376 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI b))) (* 0 PI)) into (* 0.5 (/ PI b)) 20.376 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 20.376 * [taylor]: Taking taylor expansion of 0.5 in b 20.376 * [backup-simplify]: Simplify 0.5 into 0.5 20.376 * [taylor]: Taking taylor expansion of (/ PI b) in b 20.376 * [taylor]: Taking taylor expansion of PI in b 20.376 * [backup-simplify]: Simplify PI into PI 20.376 * [taylor]: Taking taylor expansion of b in b 20.376 * [backup-simplify]: Simplify 0 into 0 20.376 * [backup-simplify]: Simplify 1 into 1 20.377 * [backup-simplify]: Simplify (/ PI 1) into PI 20.377 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.378 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.378 * [backup-simplify]: Simplify 0 into 0 20.379 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.379 * [backup-simplify]: Simplify 0 into 0 20.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.380 * [backup-simplify]: Simplify (+ 0 0) into 0 20.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 20.381 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 20.381 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 20.381 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 20.381 * [taylor]: Taking taylor expansion of 0.5 in b 20.381 * [backup-simplify]: Simplify 0.5 into 0.5 20.381 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 20.381 * [taylor]: Taking taylor expansion of PI in b 20.381 * [backup-simplify]: Simplify PI into PI 20.381 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.381 * [taylor]: Taking taylor expansion of b in b 20.381 * [backup-simplify]: Simplify 0 into 0 20.381 * [backup-simplify]: Simplify 1 into 1 20.382 * [backup-simplify]: Simplify (* 1 1) into 1 20.382 * [backup-simplify]: Simplify (/ PI 1) into PI 20.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.385 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.386 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.386 * [backup-simplify]: Simplify (- 0) into 0 20.386 * [backup-simplify]: Simplify 0 into 0 20.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.388 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.388 * [backup-simplify]: Simplify 0 into 0 20.388 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.388 * [backup-simplify]: Simplify 0 into 0 20.388 * [backup-simplify]: Simplify 0 into 0 20.389 * * * * [progress]: [ 3 / 4 ] generating series at (2) 20.389 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (- b a)) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) 20.389 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in (a b) around 0 20.389 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 20.389 * [taylor]: Taking taylor expansion of 0.5 in b 20.389 * [backup-simplify]: Simplify 0.5 into 0.5 20.389 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 20.389 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 20.389 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 20.389 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.389 * [taylor]: Taking taylor expansion of 1.0 in b 20.389 * [backup-simplify]: Simplify 1.0 into 1.0 20.389 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.389 * [taylor]: Taking taylor expansion of a in b 20.389 * [backup-simplify]: Simplify a into a 20.389 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.389 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.389 * [taylor]: Taking taylor expansion of 1.0 in b 20.389 * [backup-simplify]: Simplify 1.0 into 1.0 20.389 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.389 * [taylor]: Taking taylor expansion of b in b 20.389 * [backup-simplify]: Simplify 0 into 0 20.389 * [backup-simplify]: Simplify 1 into 1 20.390 * [backup-simplify]: Simplify (/ 1 1) into 1 20.390 * [taylor]: Taking taylor expansion of PI in b 20.390 * [backup-simplify]: Simplify PI into PI 20.390 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 20.390 * [taylor]: Taking taylor expansion of (- b a) in b 20.390 * [taylor]: Taking taylor expansion of b in b 20.390 * [backup-simplify]: Simplify 0 into 0 20.390 * [backup-simplify]: Simplify 1 into 1 20.390 * [taylor]: Taking taylor expansion of a in b 20.390 * [backup-simplify]: Simplify a into a 20.390 * [taylor]: Taking taylor expansion of (+ a b) in b 20.390 * [taylor]: Taking taylor expansion of a in b 20.390 * [backup-simplify]: Simplify a into a 20.390 * [taylor]: Taking taylor expansion of b in b 20.390 * [backup-simplify]: Simplify 0 into 0 20.390 * [backup-simplify]: Simplify 1 into 1 20.390 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.390 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.391 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.392 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 20.392 * [backup-simplify]: Simplify (- a) into (- a) 20.392 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 20.392 * [backup-simplify]: Simplify (+ a 0) into a 20.392 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 20.392 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 20.392 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 20.392 * [taylor]: Taking taylor expansion of 0.5 in a 20.392 * [backup-simplify]: Simplify 0.5 into 0.5 20.392 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 20.392 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 20.392 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 20.392 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.392 * [taylor]: Taking taylor expansion of 1.0 in a 20.392 * [backup-simplify]: Simplify 1.0 into 1.0 20.392 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.392 * [taylor]: Taking taylor expansion of a in a 20.392 * [backup-simplify]: Simplify 0 into 0 20.392 * [backup-simplify]: Simplify 1 into 1 20.393 * [backup-simplify]: Simplify (/ 1 1) into 1 20.393 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.393 * [taylor]: Taking taylor expansion of 1.0 in a 20.393 * [backup-simplify]: Simplify 1.0 into 1.0 20.393 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.393 * [taylor]: Taking taylor expansion of b in a 20.393 * [backup-simplify]: Simplify b into b 20.393 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.393 * [taylor]: Taking taylor expansion of PI in a 20.393 * [backup-simplify]: Simplify PI into PI 20.393 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 20.393 * [taylor]: Taking taylor expansion of (- b a) in a 20.393 * [taylor]: Taking taylor expansion of b in a 20.393 * [backup-simplify]: Simplify b into b 20.393 * [taylor]: Taking taylor expansion of a in a 20.393 * [backup-simplify]: Simplify 0 into 0 20.393 * [backup-simplify]: Simplify 1 into 1 20.393 * [taylor]: Taking taylor expansion of (+ a b) in a 20.393 * [taylor]: Taking taylor expansion of a in a 20.393 * [backup-simplify]: Simplify 0 into 0 20.393 * [backup-simplify]: Simplify 1 into 1 20.393 * [taylor]: Taking taylor expansion of b in a 20.393 * [backup-simplify]: Simplify b into b 20.394 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.394 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.394 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 20.394 * [backup-simplify]: Simplify (- 0) into 0 20.394 * [backup-simplify]: Simplify (+ b 0) into b 20.394 * [backup-simplify]: Simplify (+ 0 b) into b 20.395 * [backup-simplify]: Simplify (* b b) into (pow b 2) 20.395 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 20.395 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 20.395 * [taylor]: Taking taylor expansion of 0.5 in a 20.395 * [backup-simplify]: Simplify 0.5 into 0.5 20.395 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 20.395 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 20.395 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 20.395 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.395 * [taylor]: Taking taylor expansion of 1.0 in a 20.395 * [backup-simplify]: Simplify 1.0 into 1.0 20.395 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.395 * [taylor]: Taking taylor expansion of a in a 20.395 * [backup-simplify]: Simplify 0 into 0 20.395 * [backup-simplify]: Simplify 1 into 1 20.395 * [backup-simplify]: Simplify (/ 1 1) into 1 20.395 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.395 * [taylor]: Taking taylor expansion of 1.0 in a 20.395 * [backup-simplify]: Simplify 1.0 into 1.0 20.395 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.395 * [taylor]: Taking taylor expansion of b in a 20.396 * [backup-simplify]: Simplify b into b 20.396 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.396 * [taylor]: Taking taylor expansion of PI in a 20.396 * [backup-simplify]: Simplify PI into PI 20.396 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 20.396 * [taylor]: Taking taylor expansion of (- b a) in a 20.396 * [taylor]: Taking taylor expansion of b in a 20.396 * [backup-simplify]: Simplify b into b 20.396 * [taylor]: Taking taylor expansion of a in a 20.396 * [backup-simplify]: Simplify 0 into 0 20.396 * [backup-simplify]: Simplify 1 into 1 20.396 * [taylor]: Taking taylor expansion of (+ a b) in a 20.396 * [taylor]: Taking taylor expansion of a in a 20.396 * [backup-simplify]: Simplify 0 into 0 20.396 * [backup-simplify]: Simplify 1 into 1 20.396 * [taylor]: Taking taylor expansion of b in a 20.396 * [backup-simplify]: Simplify b into b 20.396 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.396 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.397 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 20.397 * [backup-simplify]: Simplify (- 0) into 0 20.397 * [backup-simplify]: Simplify (+ b 0) into b 20.397 * [backup-simplify]: Simplify (+ 0 b) into b 20.397 * [backup-simplify]: Simplify (* b b) into (pow b 2) 20.397 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 20.398 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow b 2)))) into (* 0.5 (/ PI (pow b 2))) 20.398 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 20.398 * [taylor]: Taking taylor expansion of 0.5 in b 20.398 * [backup-simplify]: Simplify 0.5 into 0.5 20.398 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 20.398 * [taylor]: Taking taylor expansion of PI in b 20.398 * [backup-simplify]: Simplify PI into PI 20.398 * [taylor]: Taking taylor expansion of (pow b 2) in b 20.398 * [taylor]: Taking taylor expansion of b in b 20.398 * [backup-simplify]: Simplify 0 into 0 20.398 * [backup-simplify]: Simplify 1 into 1 20.398 * [backup-simplify]: Simplify (* 1 1) into 1 20.398 * [backup-simplify]: Simplify (/ PI 1) into PI 20.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.400 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 20.400 * [backup-simplify]: Simplify 0 into 0 20.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.401 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.401 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 20.401 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 20.401 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 20.401 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 20.401 * [backup-simplify]: Simplify (+ 1 0) into 1 20.402 * [backup-simplify]: Simplify (- 1) into -1 20.402 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.402 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 20.402 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI b))) (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1.0 (/ PI (pow b 3)))) 20.403 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2))))) into (- (* 0.5 (/ PI (pow b 3)))) 20.403 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 3)))) in b 20.403 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 20.403 * [taylor]: Taking taylor expansion of 0.5 in b 20.403 * [backup-simplify]: Simplify 0.5 into 0.5 20.403 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 20.403 * [taylor]: Taking taylor expansion of PI in b 20.403 * [backup-simplify]: Simplify PI into PI 20.403 * [taylor]: Taking taylor expansion of (pow b 3) in b 20.403 * [taylor]: Taking taylor expansion of b in b 20.403 * [backup-simplify]: Simplify 0 into 0 20.403 * [backup-simplify]: Simplify 1 into 1 20.403 * [backup-simplify]: Simplify (* 1 1) into 1 20.403 * [backup-simplify]: Simplify (* 1 1) into 1 20.404 * [backup-simplify]: Simplify (/ PI 1) into PI 20.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.413 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.414 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.415 * [backup-simplify]: Simplify (- 0) into 0 20.415 * [backup-simplify]: Simplify 0 into 0 20.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.416 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.416 * [backup-simplify]: Simplify 0 into 0 20.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.418 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 20.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.418 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 20.418 * [backup-simplify]: Simplify (- 0) into 0 20.418 * [backup-simplify]: Simplify (+ 0 0) into 0 20.419 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 20.419 * [backup-simplify]: Simplify (+ 0 0) into 0 20.419 * [backup-simplify]: Simplify (- 0) into 0 20.420 * [backup-simplify]: Simplify (+ 0 0) into 0 20.420 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 20.421 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1.0 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1.0 (/ PI (pow b 4))) 20.421 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow b 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2)))))) into (* 0.5 (/ PI (pow b 4))) 20.421 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 20.421 * [taylor]: Taking taylor expansion of 0.5 in b 20.421 * [backup-simplify]: Simplify 0.5 into 0.5 20.421 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 20.421 * [taylor]: Taking taylor expansion of PI in b 20.421 * [backup-simplify]: Simplify PI into PI 20.421 * [taylor]: Taking taylor expansion of (pow b 4) in b 20.421 * [taylor]: Taking taylor expansion of b in b 20.421 * [backup-simplify]: Simplify 0 into 0 20.421 * [backup-simplify]: Simplify 1 into 1 20.422 * [backup-simplify]: Simplify (* 1 1) into 1 20.422 * [backup-simplify]: Simplify (* 1 1) into 1 20.422 * [backup-simplify]: Simplify (/ PI 1) into PI 20.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 20.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 20.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.427 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.428 * [backup-simplify]: Simplify 0 into 0 20.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.429 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.430 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.430 * [backup-simplify]: Simplify (- 0) into 0 20.430 * [backup-simplify]: Simplify 0 into 0 20.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.431 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.432 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.432 * [backup-simplify]: Simplify 0 into 0 20.432 * [backup-simplify]: Simplify 0 into 0 20.433 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ (/ 1 a) (/ 1 b))) 1.0) (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b)))) (- (/ 1 b) (/ 1 a))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 20.433 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 20.433 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 20.433 * [taylor]: Taking taylor expansion of 0.5 in b 20.433 * [backup-simplify]: Simplify 0.5 into 0.5 20.433 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 20.433 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 20.433 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 20.433 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.433 * [taylor]: Taking taylor expansion of 1.0 in b 20.433 * [backup-simplify]: Simplify 1.0 into 1.0 20.433 * [taylor]: Taking taylor expansion of a in b 20.433 * [backup-simplify]: Simplify a into a 20.433 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.433 * [taylor]: Taking taylor expansion of 1.0 in b 20.433 * [backup-simplify]: Simplify 1.0 into 1.0 20.433 * [taylor]: Taking taylor expansion of b in b 20.433 * [backup-simplify]: Simplify 0 into 0 20.433 * [backup-simplify]: Simplify 1 into 1 20.433 * [taylor]: Taking taylor expansion of PI in b 20.433 * [backup-simplify]: Simplify PI into PI 20.433 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 20.433 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.433 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.433 * [taylor]: Taking taylor expansion of a in b 20.433 * [backup-simplify]: Simplify a into a 20.433 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.433 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.433 * [taylor]: Taking taylor expansion of b in b 20.433 * [backup-simplify]: Simplify 0 into 0 20.433 * [backup-simplify]: Simplify 1 into 1 20.434 * [backup-simplify]: Simplify (/ 1 1) into 1 20.434 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 20.434 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.434 * [taylor]: Taking taylor expansion of b in b 20.434 * [backup-simplify]: Simplify 0 into 0 20.434 * [backup-simplify]: Simplify 1 into 1 20.434 * [backup-simplify]: Simplify (/ 1 1) into 1 20.434 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.434 * [taylor]: Taking taylor expansion of a in b 20.434 * [backup-simplify]: Simplify a into a 20.434 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.434 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 20.434 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.434 * [backup-simplify]: Simplify (- 0) into 0 20.435 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 20.435 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 20.435 * [backup-simplify]: Simplify (+ 0 1) into 1 20.435 * [backup-simplify]: Simplify (+ 1 0) into 1 20.435 * [backup-simplify]: Simplify (* 1 1) into 1 20.435 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 20.435 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 20.435 * [taylor]: Taking taylor expansion of 0.5 in a 20.435 * [backup-simplify]: Simplify 0.5 into 0.5 20.436 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 20.436 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 20.436 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 20.436 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.436 * [taylor]: Taking taylor expansion of 1.0 in a 20.436 * [backup-simplify]: Simplify 1.0 into 1.0 20.436 * [taylor]: Taking taylor expansion of a in a 20.436 * [backup-simplify]: Simplify 0 into 0 20.436 * [backup-simplify]: Simplify 1 into 1 20.436 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.436 * [taylor]: Taking taylor expansion of 1.0 in a 20.436 * [backup-simplify]: Simplify 1.0 into 1.0 20.436 * [taylor]: Taking taylor expansion of b in a 20.436 * [backup-simplify]: Simplify b into b 20.436 * [taylor]: Taking taylor expansion of PI in a 20.436 * [backup-simplify]: Simplify PI into PI 20.436 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 20.436 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.436 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.436 * [taylor]: Taking taylor expansion of a in a 20.436 * [backup-simplify]: Simplify 0 into 0 20.436 * [backup-simplify]: Simplify 1 into 1 20.436 * [backup-simplify]: Simplify (/ 1 1) into 1 20.436 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.436 * [taylor]: Taking taylor expansion of b in a 20.436 * [backup-simplify]: Simplify b into b 20.436 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.436 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 20.436 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.436 * [taylor]: Taking taylor expansion of b in a 20.436 * [backup-simplify]: Simplify b into b 20.436 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.436 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.436 * [taylor]: Taking taylor expansion of a in a 20.436 * [backup-simplify]: Simplify 0 into 0 20.436 * [backup-simplify]: Simplify 1 into 1 20.437 * [backup-simplify]: Simplify (/ 1 1) into 1 20.437 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.437 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.437 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 20.437 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 20.437 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 20.437 * [backup-simplify]: Simplify (+ 1 0) into 1 20.438 * [backup-simplify]: Simplify (- 1) into -1 20.438 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.438 * [backup-simplify]: Simplify (* 1 -1) into -1 20.438 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 20.438 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 20.438 * [taylor]: Taking taylor expansion of 0.5 in a 20.438 * [backup-simplify]: Simplify 0.5 into 0.5 20.438 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 20.438 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 20.438 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 20.438 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.438 * [taylor]: Taking taylor expansion of 1.0 in a 20.438 * [backup-simplify]: Simplify 1.0 into 1.0 20.438 * [taylor]: Taking taylor expansion of a in a 20.438 * [backup-simplify]: Simplify 0 into 0 20.438 * [backup-simplify]: Simplify 1 into 1 20.438 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.438 * [taylor]: Taking taylor expansion of 1.0 in a 20.438 * [backup-simplify]: Simplify 1.0 into 1.0 20.438 * [taylor]: Taking taylor expansion of b in a 20.438 * [backup-simplify]: Simplify b into b 20.439 * [taylor]: Taking taylor expansion of PI in a 20.439 * [backup-simplify]: Simplify PI into PI 20.439 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 20.439 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.439 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.439 * [taylor]: Taking taylor expansion of a in a 20.439 * [backup-simplify]: Simplify 0 into 0 20.439 * [backup-simplify]: Simplify 1 into 1 20.439 * [backup-simplify]: Simplify (/ 1 1) into 1 20.439 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.439 * [taylor]: Taking taylor expansion of b in a 20.439 * [backup-simplify]: Simplify b into b 20.439 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.439 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 20.439 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.439 * [taylor]: Taking taylor expansion of b in a 20.439 * [backup-simplify]: Simplify b into b 20.439 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.439 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.439 * [taylor]: Taking taylor expansion of a in a 20.439 * [backup-simplify]: Simplify 0 into 0 20.439 * [backup-simplify]: Simplify 1 into 1 20.439 * [backup-simplify]: Simplify (/ 1 1) into 1 20.440 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.440 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.440 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 20.440 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 20.440 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 20.440 * [backup-simplify]: Simplify (+ 1 0) into 1 20.440 * [backup-simplify]: Simplify (- 1) into -1 20.441 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.441 * [backup-simplify]: Simplify (* 1 -1) into -1 20.441 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 20.441 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* b PI))) into (* 0.5 (* PI b)) 20.441 * [taylor]: Taking taylor expansion of (* 0.5 (* PI b)) in b 20.441 * [taylor]: Taking taylor expansion of 0.5 in b 20.441 * [backup-simplify]: Simplify 0.5 into 0.5 20.441 * [taylor]: Taking taylor expansion of (* PI b) in b 20.441 * [taylor]: Taking taylor expansion of PI in b 20.441 * [backup-simplify]: Simplify PI into PI 20.441 * [taylor]: Taking taylor expansion of b in b 20.441 * [backup-simplify]: Simplify 0 into 0 20.441 * [backup-simplify]: Simplify 1 into 1 20.442 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 20.443 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 20.443 * [backup-simplify]: Simplify (* PI 0) into 0 20.444 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 20.444 * [backup-simplify]: Simplify 0 into 0 20.445 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.445 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 20.446 * [backup-simplify]: Simplify (- 0) into 0 20.446 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.446 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (* 1.0 PI)) into (* 1.0 PI) 20.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.447 * [backup-simplify]: Simplify (- 0) into 0 20.447 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 20.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.448 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 20.448 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 20.449 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* b PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 20.450 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI)))) into (- (* 0.5 PI)) 20.450 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in b 20.450 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 20.450 * [taylor]: Taking taylor expansion of 0.5 in b 20.450 * [backup-simplify]: Simplify 0.5 into 0.5 20.450 * [taylor]: Taking taylor expansion of PI in b 20.450 * [backup-simplify]: Simplify PI into PI 20.451 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.451 * [backup-simplify]: Simplify (- 0) into 0 20.451 * [backup-simplify]: Simplify 0 into 0 20.452 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.452 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 20.452 * [backup-simplify]: Simplify 0 into 0 20.453 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.453 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 20.454 * [backup-simplify]: Simplify (- 0) into 0 20.454 * [backup-simplify]: Simplify (+ 0 0) into 0 20.454 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 20.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.455 * [backup-simplify]: Simplify (- 0) into 0 20.456 * [backup-simplify]: Simplify (+ 0 0) into 0 20.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.456 * [backup-simplify]: Simplify (+ 0 0) into 0 20.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 20.458 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI b)) 20.459 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI))))) into (* 0.5 (/ PI b)) 20.459 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 20.459 * [taylor]: Taking taylor expansion of 0.5 in b 20.459 * [backup-simplify]: Simplify 0.5 into 0.5 20.459 * [taylor]: Taking taylor expansion of (/ PI b) in b 20.459 * [taylor]: Taking taylor expansion of PI in b 20.459 * [backup-simplify]: Simplify PI into PI 20.459 * [taylor]: Taking taylor expansion of b in b 20.459 * [backup-simplify]: Simplify 0 into 0 20.459 * [backup-simplify]: Simplify 1 into 1 20.459 * [backup-simplify]: Simplify (/ PI 1) into PI 20.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.462 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.462 * [backup-simplify]: Simplify 0 into 0 20.462 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.463 * [backup-simplify]: Simplify (- 0) into 0 20.463 * [backup-simplify]: Simplify 0 into 0 20.463 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 20.464 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 20.464 * [backup-simplify]: Simplify 0 into 0 20.464 * [backup-simplify]: Simplify 0 into 0 20.465 * [backup-simplify]: Simplify (/ (* (* (/ (/ PI 2.0) (+ (/ 1 (- a)) (/ 1 (- b)))) 1.0) (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 20.465 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 20.465 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 20.465 * [taylor]: Taking taylor expansion of -0.5 in b 20.465 * [backup-simplify]: Simplify -0.5 into -0.5 20.465 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 20.465 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 20.465 * [taylor]: Taking taylor expansion of PI in b 20.465 * [backup-simplify]: Simplify PI into PI 20.465 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 20.465 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.465 * [taylor]: Taking taylor expansion of 1.0 in b 20.465 * [backup-simplify]: Simplify 1.0 into 1.0 20.465 * [taylor]: Taking taylor expansion of b in b 20.465 * [backup-simplify]: Simplify 0 into 0 20.465 * [backup-simplify]: Simplify 1 into 1 20.465 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.465 * [taylor]: Taking taylor expansion of 1.0 in b 20.465 * [backup-simplify]: Simplify 1.0 into 1.0 20.465 * [taylor]: Taking taylor expansion of a in b 20.465 * [backup-simplify]: Simplify a into a 20.465 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 20.465 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 20.465 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.465 * [taylor]: Taking taylor expansion of a in b 20.465 * [backup-simplify]: Simplify a into a 20.465 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.465 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.465 * [taylor]: Taking taylor expansion of b in b 20.465 * [backup-simplify]: Simplify 0 into 0 20.465 * [backup-simplify]: Simplify 1 into 1 20.466 * [backup-simplify]: Simplify (/ 1 1) into 1 20.466 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 20.466 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.466 * [taylor]: Taking taylor expansion of a in b 20.466 * [backup-simplify]: Simplify a into a 20.466 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.466 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.466 * [taylor]: Taking taylor expansion of b in b 20.466 * [backup-simplify]: Simplify 0 into 0 20.466 * [backup-simplify]: Simplify 1 into 1 20.466 * [backup-simplify]: Simplify (/ 1 1) into 1 20.466 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.466 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 20.467 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 20.467 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 20.467 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 20.467 * [backup-simplify]: Simplify (+ 0 1) into 1 20.467 * [backup-simplify]: Simplify (- 1) into -1 20.467 * [backup-simplify]: Simplify (+ 0 -1) into -1 20.468 * [backup-simplify]: Simplify (* 1 -1) into -1 20.468 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 20.468 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 20.468 * [taylor]: Taking taylor expansion of -0.5 in a 20.468 * [backup-simplify]: Simplify -0.5 into -0.5 20.468 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 20.468 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 20.468 * [taylor]: Taking taylor expansion of PI in a 20.468 * [backup-simplify]: Simplify PI into PI 20.468 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 20.468 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.468 * [taylor]: Taking taylor expansion of 1.0 in a 20.468 * [backup-simplify]: Simplify 1.0 into 1.0 20.468 * [taylor]: Taking taylor expansion of b in a 20.468 * [backup-simplify]: Simplify b into b 20.468 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.468 * [taylor]: Taking taylor expansion of 1.0 in a 20.468 * [backup-simplify]: Simplify 1.0 into 1.0 20.468 * [taylor]: Taking taylor expansion of a in a 20.468 * [backup-simplify]: Simplify 0 into 0 20.468 * [backup-simplify]: Simplify 1 into 1 20.468 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 20.468 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.468 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.468 * [taylor]: Taking taylor expansion of a in a 20.468 * [backup-simplify]: Simplify 0 into 0 20.468 * [backup-simplify]: Simplify 1 into 1 20.468 * [backup-simplify]: Simplify (/ 1 1) into 1 20.468 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.468 * [taylor]: Taking taylor expansion of b in a 20.468 * [backup-simplify]: Simplify b into b 20.469 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.469 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.469 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.469 * [taylor]: Taking taylor expansion of a in a 20.469 * [backup-simplify]: Simplify 0 into 0 20.469 * [backup-simplify]: Simplify 1 into 1 20.469 * [backup-simplify]: Simplify (/ 1 1) into 1 20.469 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.469 * [taylor]: Taking taylor expansion of b in a 20.469 * [backup-simplify]: Simplify b into b 20.469 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.469 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.469 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.470 * [backup-simplify]: Simplify (- 0) into 0 20.470 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 20.470 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 20.470 * [backup-simplify]: Simplify (+ 1 0) into 1 20.471 * [backup-simplify]: Simplify (+ 1 0) into 1 20.471 * [backup-simplify]: Simplify (* 1 1) into 1 20.471 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 20.471 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 20.471 * [taylor]: Taking taylor expansion of -0.5 in a 20.471 * [backup-simplify]: Simplify -0.5 into -0.5 20.472 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 20.472 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 20.472 * [taylor]: Taking taylor expansion of PI in a 20.472 * [backup-simplify]: Simplify PI into PI 20.472 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 20.472 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.472 * [taylor]: Taking taylor expansion of 1.0 in a 20.472 * [backup-simplify]: Simplify 1.0 into 1.0 20.472 * [taylor]: Taking taylor expansion of b in a 20.472 * [backup-simplify]: Simplify b into b 20.472 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.472 * [taylor]: Taking taylor expansion of 1.0 in a 20.472 * [backup-simplify]: Simplify 1.0 into 1.0 20.472 * [taylor]: Taking taylor expansion of a in a 20.472 * [backup-simplify]: Simplify 0 into 0 20.472 * [backup-simplify]: Simplify 1 into 1 20.472 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 20.472 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 20.472 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.472 * [taylor]: Taking taylor expansion of a in a 20.472 * [backup-simplify]: Simplify 0 into 0 20.472 * [backup-simplify]: Simplify 1 into 1 20.472 * [backup-simplify]: Simplify (/ 1 1) into 1 20.473 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.473 * [taylor]: Taking taylor expansion of b in a 20.473 * [backup-simplify]: Simplify b into b 20.473 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.473 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 20.473 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.473 * [taylor]: Taking taylor expansion of a in a 20.473 * [backup-simplify]: Simplify 0 into 0 20.473 * [backup-simplify]: Simplify 1 into 1 20.473 * [backup-simplify]: Simplify (/ 1 1) into 1 20.473 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.473 * [taylor]: Taking taylor expansion of b in a 20.473 * [backup-simplify]: Simplify b into b 20.473 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.473 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.474 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.474 * [backup-simplify]: Simplify (- 0) into 0 20.474 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 20.474 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 20.475 * [backup-simplify]: Simplify (+ 1 0) into 1 20.475 * [backup-simplify]: Simplify (+ 1 0) into 1 20.476 * [backup-simplify]: Simplify (* 1 1) into 1 20.476 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 20.476 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 20.476 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 20.476 * [taylor]: Taking taylor expansion of -0.5 in b 20.476 * [backup-simplify]: Simplify -0.5 into -0.5 20.476 * [taylor]: Taking taylor expansion of (* b PI) in b 20.476 * [taylor]: Taking taylor expansion of b in b 20.476 * [backup-simplify]: Simplify 0 into 0 20.476 * [backup-simplify]: Simplify 1 into 1 20.476 * [taylor]: Taking taylor expansion of PI in b 20.476 * [backup-simplify]: Simplify PI into PI 20.477 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 20.478 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 20.478 * [backup-simplify]: Simplify (* 0 PI) into 0 20.479 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 20.479 * [backup-simplify]: Simplify 0 into 0 20.479 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 20.480 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.480 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.481 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.481 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 20.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.482 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 20.482 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 20.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.483 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 20.483 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 20.484 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)))) into (- (* 1.0 PI)) 20.485 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 0.5 PI) 20.485 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 20.485 * [taylor]: Taking taylor expansion of 0.5 in b 20.485 * [backup-simplify]: Simplify 0.5 into 0.5 20.485 * [taylor]: Taking taylor expansion of PI in b 20.485 * [backup-simplify]: Simplify PI into PI 20.486 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 20.486 * [backup-simplify]: Simplify 0 into 0 20.487 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 20.488 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 20.488 * [backup-simplify]: Simplify 0 into 0 20.489 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 20.489 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.490 * [backup-simplify]: Simplify (- 0) into 0 20.490 * [backup-simplify]: Simplify (+ 0 0) into 0 20.491 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 20.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.492 * [backup-simplify]: Simplify (- 0) into 0 20.492 * [backup-simplify]: Simplify (+ 0 0) into 0 20.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.493 * [backup-simplify]: Simplify (+ 0 0) into 0 20.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 20.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI b)) 20.495 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 0.5 (/ PI b))) 20.495 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 20.495 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 20.495 * [taylor]: Taking taylor expansion of 0.5 in b 20.496 * [backup-simplify]: Simplify 0.5 into 0.5 20.496 * [taylor]: Taking taylor expansion of (/ PI b) in b 20.496 * [taylor]: Taking taylor expansion of PI in b 20.496 * [backup-simplify]: Simplify PI into PI 20.496 * [taylor]: Taking taylor expansion of b in b 20.496 * [backup-simplify]: Simplify 0 into 0 20.496 * [backup-simplify]: Simplify 1 into 1 20.496 * [backup-simplify]: Simplify (/ PI 1) into PI 20.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 20.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.498 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.499 * [backup-simplify]: Simplify (- 0) into 0 20.499 * [backup-simplify]: Simplify 0 into 0 20.499 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 20.499 * [backup-simplify]: Simplify 0 into 0 20.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 20.501 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 20.501 * [backup-simplify]: Simplify 0 into 0 20.501 * [backup-simplify]: Simplify 0 into 0 20.501 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2) 20.501 * [backup-simplify]: Simplify (- (/ 1.0 a) (/ 1.0 b)) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 20.501 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in (a b) around 0 20.501 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 20.501 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 20.501 * [taylor]: Taking taylor expansion of 1.0 in b 20.501 * [backup-simplify]: Simplify 1.0 into 1.0 20.501 * [taylor]: Taking taylor expansion of (/ 1 a) in b 20.501 * [taylor]: Taking taylor expansion of a in b 20.501 * [backup-simplify]: Simplify a into a 20.501 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 20.501 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.501 * [taylor]: Taking taylor expansion of 1.0 in b 20.501 * [backup-simplify]: Simplify 1.0 into 1.0 20.501 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.501 * [taylor]: Taking taylor expansion of b in b 20.501 * [backup-simplify]: Simplify 0 into 0 20.501 * [backup-simplify]: Simplify 1 into 1 20.502 * [backup-simplify]: Simplify (/ 1 1) into 1 20.502 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 20.502 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.502 * [taylor]: Taking taylor expansion of 1.0 in a 20.502 * [backup-simplify]: Simplify 1.0 into 1.0 20.502 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.502 * [taylor]: Taking taylor expansion of a in a 20.502 * [backup-simplify]: Simplify 0 into 0 20.502 * [backup-simplify]: Simplify 1 into 1 20.502 * [backup-simplify]: Simplify (/ 1 1) into 1 20.502 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.502 * [taylor]: Taking taylor expansion of 1.0 in a 20.502 * [backup-simplify]: Simplify 1.0 into 1.0 20.502 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.502 * [taylor]: Taking taylor expansion of b in a 20.502 * [backup-simplify]: Simplify b into b 20.502 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.502 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 20.502 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 20.502 * [taylor]: Taking taylor expansion of 1.0 in a 20.502 * [backup-simplify]: Simplify 1.0 into 1.0 20.502 * [taylor]: Taking taylor expansion of (/ 1 a) in a 20.502 * [taylor]: Taking taylor expansion of a in a 20.502 * [backup-simplify]: Simplify 0 into 0 20.502 * [backup-simplify]: Simplify 1 into 1 20.503 * [backup-simplify]: Simplify (/ 1 1) into 1 20.503 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 20.503 * [taylor]: Taking taylor expansion of 1.0 in a 20.503 * [backup-simplify]: Simplify 1.0 into 1.0 20.503 * [taylor]: Taking taylor expansion of (/ 1 b) in a 20.503 * [taylor]: Taking taylor expansion of b in a 20.503 * [backup-simplify]: Simplify b into b 20.503 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 20.503 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.508 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.508 * [taylor]: Taking taylor expansion of 1.0 in b 20.508 * [backup-simplify]: Simplify 1.0 into 1.0 20.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.509 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.509 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 20.509 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 20.509 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 20.509 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b))) in b 20.509 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 20.509 * [taylor]: Taking taylor expansion of 1.0 in b 20.510 * [backup-simplify]: Simplify 1.0 into 1.0 20.510 * [taylor]: Taking taylor expansion of (/ 1 b) in b 20.510 * [taylor]: Taking taylor expansion of b in b 20.510 * [backup-simplify]: Simplify 0 into 0 20.510 * [backup-simplify]: Simplify 1 into 1 20.510 * [backup-simplify]: Simplify (/ 1 1) into 1 20.510 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 20.510 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.511 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.511 * [backup-simplify]: Simplify 1.0 into 1.0 20.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.512 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 20.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 20.512 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 20.512 * [backup-simplify]: Simplify (- 0) into 0 20.513 * [backup-simplify]: Simplify (+ 0 0) into 0 20.513 * [taylor]: Taking taylor expansion of 0 in b 20.513 * [backup-simplify]: Simplify 0 into 0 20.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 20.514 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 20.514 * [backup-simplify]: Simplify (- 0) into 0 20.514 * [backup-simplify]: Simplify 0 into 0 20.514 * [backup-simplify]: Simplify 0 into 0 20.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.517 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 20.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.518 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 20.518 * [backup-simplify]: Simplify (- 0) into 0 20.518 * [backup-simplify]: Simplify (+ 0 0) into 0 20.518 * [taylor]: Taking taylor expansion of 0 in b 20.518 * [backup-simplify]: Simplify 0 into 0 20.519 * [backup-simplify]: Simplify 0 into 0 20.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.520 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 20.521 * [backup-simplify]: Simplify (- 0) into 0 20.521 * [backup-simplify]: Simplify 0 into 0 20.521 * [backup-simplify]: Simplify 0 into 0 20.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 20.523 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 20.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 20.525 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 20.525 * [backup-simplify]: Simplify (- 0) into 0 20.525 * [backup-simplify]: Simplify (+ 0 0) into 0 20.525 * [taylor]: Taking taylor expansion of 0 in b 20.525 * [backup-simplify]: Simplify 0 into 0 20.526 * [backup-simplify]: Simplify 0 into 0 20.526 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 a))) (* (- 1.0) (* (/ 1 b) 1))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 20.526 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) into (- (* 1.0 a) (* 1.0 b)) 20.526 * [approximate]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in (a b) around 0 20.526 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 20.526 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.526 * [taylor]: Taking taylor expansion of 1.0 in b 20.527 * [backup-simplify]: Simplify 1.0 into 1.0 20.527 * [taylor]: Taking taylor expansion of a in b 20.527 * [backup-simplify]: Simplify a into a 20.527 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.527 * [taylor]: Taking taylor expansion of 1.0 in b 20.527 * [backup-simplify]: Simplify 1.0 into 1.0 20.527 * [taylor]: Taking taylor expansion of b in b 20.527 * [backup-simplify]: Simplify 0 into 0 20.527 * [backup-simplify]: Simplify 1 into 1 20.527 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 20.527 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.527 * [taylor]: Taking taylor expansion of 1.0 in a 20.527 * [backup-simplify]: Simplify 1.0 into 1.0 20.527 * [taylor]: Taking taylor expansion of a in a 20.527 * [backup-simplify]: Simplify 0 into 0 20.527 * [backup-simplify]: Simplify 1 into 1 20.527 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.527 * [taylor]: Taking taylor expansion of 1.0 in a 20.527 * [backup-simplify]: Simplify 1.0 into 1.0 20.527 * [taylor]: Taking taylor expansion of b in a 20.527 * [backup-simplify]: Simplify b into b 20.527 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 20.527 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.527 * [taylor]: Taking taylor expansion of 1.0 in a 20.527 * [backup-simplify]: Simplify 1.0 into 1.0 20.527 * [taylor]: Taking taylor expansion of a in a 20.527 * [backup-simplify]: Simplify 0 into 0 20.527 * [backup-simplify]: Simplify 1 into 1 20.527 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.527 * [taylor]: Taking taylor expansion of 1.0 in a 20.527 * [backup-simplify]: Simplify 1.0 into 1.0 20.527 * [taylor]: Taking taylor expansion of b in a 20.527 * [backup-simplify]: Simplify b into b 20.528 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.528 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.528 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 20.528 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 20.528 * [taylor]: Taking taylor expansion of (- (* 1.0 b)) in b 20.528 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.528 * [taylor]: Taking taylor expansion of 1.0 in b 20.528 * [backup-simplify]: Simplify 1.0 into 1.0 20.528 * [taylor]: Taking taylor expansion of b in b 20.528 * [backup-simplify]: Simplify 0 into 0 20.528 * [backup-simplify]: Simplify 1 into 1 20.529 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.529 * [backup-simplify]: Simplify (- 0) into 0 20.529 * [backup-simplify]: Simplify 0 into 0 20.531 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.531 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 20.532 * [backup-simplify]: Simplify (- 0) into 0 20.532 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 20.532 * [taylor]: Taking taylor expansion of 1.0 in b 20.532 * [backup-simplify]: Simplify 1.0 into 1.0 20.532 * [backup-simplify]: Simplify 1.0 into 1.0 20.534 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.534 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.535 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.536 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.537 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 20.537 * [backup-simplify]: Simplify (- 0) into 0 20.537 * [backup-simplify]: Simplify (+ 0 0) into 0 20.537 * [taylor]: Taking taylor expansion of 0 in b 20.537 * [backup-simplify]: Simplify 0 into 0 20.537 * [backup-simplify]: Simplify 0 into 0 20.537 * [backup-simplify]: Simplify 0 into 0 20.539 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.539 * [backup-simplify]: Simplify (- 0) into 0 20.539 * [backup-simplify]: Simplify 0 into 0 20.540 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.541 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 20.542 * [backup-simplify]: Simplify (- 0) into 0 20.542 * [backup-simplify]: Simplify (+ 0 0) into 0 20.542 * [taylor]: Taking taylor expansion of 0 in b 20.542 * [backup-simplify]: Simplify 0 into 0 20.542 * [backup-simplify]: Simplify 0 into 0 20.542 * [backup-simplify]: Simplify 0 into 0 20.542 * [backup-simplify]: Simplify 0 into 0 20.543 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 b) 1)) (* 1.0 (* 1 (/ 1 a)))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 20.543 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) into (- (* 1.0 b) (* 1.0 a)) 20.543 * [approximate]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in (a b) around 0 20.543 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 20.543 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.543 * [taylor]: Taking taylor expansion of 1.0 in b 20.543 * [backup-simplify]: Simplify 1.0 into 1.0 20.543 * [taylor]: Taking taylor expansion of b in b 20.544 * [backup-simplify]: Simplify 0 into 0 20.544 * [backup-simplify]: Simplify 1 into 1 20.544 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 20.544 * [taylor]: Taking taylor expansion of 1.0 in b 20.544 * [backup-simplify]: Simplify 1.0 into 1.0 20.544 * [taylor]: Taking taylor expansion of a in b 20.544 * [backup-simplify]: Simplify a into a 20.544 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 20.544 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.544 * [taylor]: Taking taylor expansion of 1.0 in a 20.544 * [backup-simplify]: Simplify 1.0 into 1.0 20.544 * [taylor]: Taking taylor expansion of b in a 20.544 * [backup-simplify]: Simplify b into b 20.544 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.544 * [taylor]: Taking taylor expansion of 1.0 in a 20.544 * [backup-simplify]: Simplify 1.0 into 1.0 20.544 * [taylor]: Taking taylor expansion of a in a 20.544 * [backup-simplify]: Simplify 0 into 0 20.544 * [backup-simplify]: Simplify 1 into 1 20.544 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 20.544 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 20.544 * [taylor]: Taking taylor expansion of 1.0 in a 20.544 * [backup-simplify]: Simplify 1.0 into 1.0 20.545 * [taylor]: Taking taylor expansion of b in a 20.545 * [backup-simplify]: Simplify b into b 20.545 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 20.545 * [taylor]: Taking taylor expansion of 1.0 in a 20.545 * [backup-simplify]: Simplify 1.0 into 1.0 20.545 * [taylor]: Taking taylor expansion of a in a 20.545 * [backup-simplify]: Simplify 0 into 0 20.545 * [backup-simplify]: Simplify 1 into 1 20.545 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 20.545 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.546 * [backup-simplify]: Simplify (- 0) into 0 20.546 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 20.546 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 20.546 * [taylor]: Taking taylor expansion of 1.0 in b 20.546 * [backup-simplify]: Simplify 1.0 into 1.0 20.546 * [taylor]: Taking taylor expansion of b in b 20.546 * [backup-simplify]: Simplify 0 into 0 20.546 * [backup-simplify]: Simplify 1 into 1 20.546 * [backup-simplify]: Simplify (* 1.0 0) into 0 20.547 * [backup-simplify]: Simplify 0 into 0 20.547 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 20.548 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.549 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.550 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 20.550 * [taylor]: Taking taylor expansion of (- 1.0) in b 20.550 * [taylor]: Taking taylor expansion of 1.0 in b 20.550 * [backup-simplify]: Simplify 1.0 into 1.0 20.550 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.551 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 20.552 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 20.552 * [backup-simplify]: Simplify 1.0 into 1.0 20.553 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 20.554 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.554 * [backup-simplify]: Simplify (- 0) into 0 20.555 * [backup-simplify]: Simplify (+ 0 0) into 0 20.555 * [taylor]: Taking taylor expansion of 0 in b 20.555 * [backup-simplify]: Simplify 0 into 0 20.555 * [backup-simplify]: Simplify 0 into 0 20.555 * [backup-simplify]: Simplify (- 0) into 0 20.555 * [backup-simplify]: Simplify 0 into 0 20.556 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 20.556 * [backup-simplify]: Simplify 0 into 0 20.558 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 20.559 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 20.559 * [backup-simplify]: Simplify (- 0) into 0 20.559 * [backup-simplify]: Simplify (+ 0 0) into 0 20.559 * [taylor]: Taking taylor expansion of 0 in b 20.560 * [backup-simplify]: Simplify 0 into 0 20.560 * [backup-simplify]: Simplify 0 into 0 20.560 * [backup-simplify]: Simplify 0 into 0 20.560 * [backup-simplify]: Simplify (- 0) into 0 20.560 * [backup-simplify]: Simplify 0 into 0 20.561 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- b)) 1)) (* (- 1.0) (* 1 (/ 1 (- a))))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 20.561 * * * [progress]: simplifying candidates 20.583 * [simplify]: Simplifying: (expm1 (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (log1p (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (+ (+ (- (- (log PI) (log 2.0)) (log (+ a b))) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (- (log (/ PI 2.0)) (log (+ a b))) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (+ (log (/ (/ PI 2.0) (+ a b))) (log 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (+ (log (* (/ (/ PI 2.0) (+ a b)) 1.0)) (log (- (/ 1.0 a) (/ 1.0 b)))) (log (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (exp (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ (* (* PI PI) PI) (* (* 2.0 2.0) 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 1.0 1.0) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (* (* (/ PI 2.0) (/ PI 2.0)) (/ PI 2.0)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* 1.0 1.0) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ a b)) (/ (/ PI 2.0) (+ a b))) (/ (/ PI 2.0) (+ a b))) (* (* 1.0 1.0) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (* (/ (/ PI 2.0) (+ a b)) 1.0)) (* (/ (/ PI 2.0) (+ a b)) 1.0)) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b)))) (* (cbrt (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))))) (cbrt (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (* (* (/ (/ PI 2.0) (+ a b)) 1.0) (- (/ 1.0 a) (/ 1.0 b)))) (* (* (/ PI 2.0) 1.0) (- (* 1.0 b) (* a 1.0))) (* (+ a b) (* a b)) (* (* (/ PI 2.0) 1.0) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3))) (* (+ a b) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b))))) (* (* (/ PI 2.0) 1.0) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b)))) (* (+ a b) 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b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (/ (exp (/ 1.0 a)) (exp (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (- (* 1.0 b) (* a 1.0)) (* a b) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3)) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b)))) (- (/ 1.0 b)) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b))) (+ (/ 1.0 a) (/ 1.0 b)) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1.0 b)) (* 0.5 (/ PI (* a b))) (* -0.5 (/ PI (* a b))) (* -0.5 (/ PI (* a b))) 0 0 0 0 0 0 (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 20.616 * * [simplify]: iteration 0: 956 enodes 21.146 * * [simplify]: iteration 1: 2955 enodes 22.389 * * [simplify]: iteration complete: 5000 enodes 22.390 * * [simplify]: Extracting #0: cost 446 inf + 0 22.397 * * [simplify]: Extracting #1: cost 1542 inf + 44 22.405 * * [simplify]: Extracting #2: cost 1952 inf + 6404 22.425 * * [simplify]: Extracting #3: cost 1558 inf + 62082 22.477 * * [simplify]: Extracting #4: cost 778 inf + 268078 22.576 * * [simplify]: Extracting #5: cost 217 inf + 504330 22.732 * * [simplify]: Extracting #6: cost 18 inf + 605067 22.896 * * [simplify]: Extracting #7: cost 0 inf + 613297 23.049 * [simplify]: Simplified to: (expm1 (* (/ 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(- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (+ (/ 1.0 a) (* (/ (cbrt 1.0) (cbrt b)) (- (* (/ (cbrt 1.0) (cbrt b)) (/ (cbrt 1.0) (cbrt b)))))) (fma (/ (cbrt 1.0) (cbrt b)) (- (* (/ (cbrt 1.0) (cbrt b)) (/ (cbrt 1.0) (cbrt b)))) (* (/ (cbrt 1.0) (cbrt b)) (* (/ (cbrt 1.0) (cbrt b)) (/ (cbrt 1.0) (cbrt b))))) (+ (/ 1.0 a) (* (/ (cbrt 1.0) (sqrt b)) (/ (- (cbrt 1.0)) (/ (sqrt b) (cbrt 1.0))))) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (cbrt 1.0) (/ (sqrt b) (cbrt 1.0))) (/ (* (cbrt 1.0) (/ (cbrt 1.0) (/ (sqrt b) (cbrt 1.0)))) (sqrt b))) (+ (/ 1.0 a) (* (* (- (cbrt 1.0)) (cbrt 1.0)) (/ (cbrt 1.0) b))) (fma (- (/ (cbrt 1.0) b)) (* (cbrt 1.0) (cbrt 1.0)) (* (/ (cbrt 1.0) b) (* (cbrt 1.0) (cbrt 1.0)))) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (/ (sqrt 1.0) (cbrt b)) (cbrt b))))) (+ (- (* (/ (sqrt 1.0) (cbrt b)) (/ (/ (sqrt 1.0) (cbrt b)) (cbrt b)))) (* (/ (sqrt 1.0) (cbrt b)) (/ (/ (sqrt 1.0) (cbrt b)) (cbrt b)))) (+ (/ 1.0 a) (* (/ (sqrt 1.0) (sqrt b)) (- (/ (sqrt 1.0) (sqrt b))))) (fma (/ (sqrt 1.0) (sqrt b)) (- (/ (sqrt 1.0) (sqrt b))) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (+ (/ 1.0 a) (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b))))) (+ (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (+ (/ 1.0 a) (/ (- (/ 1.0 (sqrt b))) (sqrt b))) (+ (/ (- (/ 1.0 (sqrt b))) (sqrt b)) (/ (/ 1.0 (sqrt b)) (sqrt b))) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (+ (/ 1.0 a) (* (/ (cbrt 1.0) (cbrt b)) (- (* (/ (cbrt 1.0) (cbrt b)) (/ (cbrt 1.0) (cbrt b)))))) (fma (/ (cbrt 1.0) (cbrt b)) (- (* (/ (cbrt 1.0) (cbrt b)) (/ (cbrt 1.0) (cbrt b)))) (* (/ (cbrt 1.0) (cbrt b)) (* (/ (cbrt 1.0) (cbrt b)) (/ (cbrt 1.0) (cbrt b))))) (+ (/ 1.0 a) (* (/ (cbrt 1.0) (sqrt b)) (/ (- (cbrt 1.0)) (/ (sqrt b) (cbrt 1.0))))) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (cbrt 1.0) (/ (sqrt b) (cbrt 1.0))) (/ (* (cbrt 1.0) (/ (cbrt 1.0) (/ (sqrt b) (cbrt 1.0)))) (sqrt b))) (+ (/ 1.0 a) (* (* (- (cbrt 1.0)) (cbrt 1.0)) (/ (cbrt 1.0) b))) (fma (- (/ (cbrt 1.0) b)) (* (cbrt 1.0) (cbrt 1.0)) (* (/ (cbrt 1.0) b) (* (cbrt 1.0) (cbrt 1.0)))) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (/ (sqrt 1.0) (cbrt b)) (cbrt b))))) (+ (- (* (/ (sqrt 1.0) (cbrt b)) (/ (/ (sqrt 1.0) (cbrt b)) (cbrt b)))) (* (/ (sqrt 1.0) (cbrt b)) (/ (/ (sqrt 1.0) (cbrt b)) (cbrt b)))) (+ (/ 1.0 a) (* (/ (sqrt 1.0) (sqrt b)) (- (/ (sqrt 1.0) (sqrt b))))) (fma (/ (sqrt 1.0) (sqrt b)) (- (/ (sqrt 1.0) (sqrt b))) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (+ (/ 1.0 a) (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b))))) (+ (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (+ (/ 1.0 a) (/ (- (/ 1.0 (sqrt b))) (sqrt b))) (+ (/ (- (/ 1.0 (sqrt b))) (sqrt b)) (/ (/ 1.0 (sqrt b)) (sqrt b))) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (+ (/ 1.0 a) (* (/ (cbrt 1.0) (cbrt b)) (- (* (/ (cbrt 1.0) (cbrt b)) (/ (cbrt 1.0) (cbrt b)))))) (fma (/ (cbrt 1.0) (cbrt b)) (- (* (/ (cbrt 1.0) (cbrt b)) (/ (cbrt 1.0) (cbrt b)))) (* (/ (cbrt 1.0) (cbrt b)) (* (/ (cbrt 1.0) (cbrt b)) (/ (cbrt 1.0) (cbrt b))))) (+ (/ 1.0 a) (* (/ (cbrt 1.0) (sqrt b)) (/ (- (cbrt 1.0)) (/ (sqrt b) (cbrt 1.0))))) (fma (- (/ (cbrt 1.0) (sqrt b))) (/ (cbrt 1.0) (/ (sqrt b) (cbrt 1.0))) (/ (* (cbrt 1.0) (/ (cbrt 1.0) (/ (sqrt b) (cbrt 1.0)))) (sqrt b))) (+ (/ 1.0 a) (* (* (- (cbrt 1.0)) (cbrt 1.0)) (/ (cbrt 1.0) b))) (fma (- (/ (cbrt 1.0) b)) (* (cbrt 1.0) (cbrt 1.0)) (* (/ (cbrt 1.0) b) (* (cbrt 1.0) (cbrt 1.0)))) (+ (/ 1.0 a) (- (* (/ (sqrt 1.0) (cbrt b)) (/ (/ (sqrt 1.0) (cbrt b)) (cbrt b))))) (+ (- (* (/ (sqrt 1.0) (cbrt b)) (/ (/ (sqrt 1.0) (cbrt b)) (cbrt b)))) (* (/ (sqrt 1.0) (cbrt b)) (/ (/ (sqrt 1.0) (cbrt b)) (cbrt b)))) (+ (/ 1.0 a) (* (/ (sqrt 1.0) (sqrt b)) (- (/ (sqrt 1.0) (sqrt b))))) (fma (/ (sqrt 1.0) (sqrt b)) (- (/ (sqrt 1.0) (sqrt b))) (* (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt b)))) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (+ (/ 1.0 a) (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b))))) (+ (- (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (/ (/ 1.0 (cbrt b)) (* (cbrt b) (cbrt b)))) (+ (/ 1.0 a) (/ (- (/ 1.0 (sqrt b))) (sqrt b))) (+ (/ (- (/ 1.0 (sqrt b))) (sqrt b)) (/ (/ 1.0 (sqrt b)) (sqrt b))) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (fma (/ 1.0 b) -1 (/ 1.0 b)) (expm1 (- (/ 1.0 a) (/ 1.0 b))) (log1p (- (/ 1.0 a) (/ 1.0 b))) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (exp (- (/ 1.0 a) (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (* (- (/ 1.0 a) (/ 1.0 b)) (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (- (* 1.0 b) (* a 1.0)) (* a b) (- (* (* (/ 1.0 a) (/ 1.0 a)) (/ 1.0 a)) (* (* (/ 1.0 b) (/ 1.0 b)) (/ 1.0 b))) (fma (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a)) (* (/ 1.0 a) (/ 1.0 a))) (/ (- 1.0) b) (* (+ (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (+ (/ 1.0 b) (/ 1.0 a)) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt b)) (sqrt (/ 1.0 a))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (sqrt (/ 1.0 b)) (/ (sqrt 1.0) (sqrt a))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt a))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (/ (- 1.0) b) (* (/ 0.5 a) (/ PI b)) (* (/ -0.5 a) (/ PI b)) (* (/ -0.5 a) (/ PI b)) 0 0 0 0 0 0 (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) 23.291 * * * [progress]: adding candidates to table 29.270 * * [progress]: iteration 4 / 4 29.270 * * * [progress]: picking best candidate 29.323 * * * * [pick]: Picked # 29.324 * * * [progress]: localizing error 29.352 * * * [progress]: generating rewritten candidates 29.352 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 29.369 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 29.527 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 29.708 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 29.819 * * * [progress]: generating series expansions 29.819 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 29.820 * [backup-simplify]: Simplify (/ (* (/ PI 2.0) 1.0) (+ a b)) into (* 0.5 (/ PI (+ a b))) 29.820 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in (a b) around 0 29.820 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in b 29.821 * [taylor]: Taking taylor expansion of 0.5 in b 29.821 * [backup-simplify]: Simplify 0.5 into 0.5 29.821 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 29.821 * [taylor]: Taking taylor expansion of PI in b 29.821 * [backup-simplify]: Simplify PI into PI 29.821 * [taylor]: Taking taylor expansion of (+ a b) in b 29.821 * [taylor]: Taking taylor expansion of a in b 29.821 * [backup-simplify]: Simplify a into a 29.821 * [taylor]: Taking taylor expansion of b in b 29.821 * [backup-simplify]: Simplify 0 into 0 29.821 * [backup-simplify]: Simplify 1 into 1 29.821 * [backup-simplify]: Simplify (+ a 0) into a 29.821 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 29.821 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 29.821 * [taylor]: Taking taylor expansion of 0.5 in a 29.821 * [backup-simplify]: Simplify 0.5 into 0.5 29.821 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 29.821 * [taylor]: Taking taylor expansion of PI in a 29.821 * [backup-simplify]: Simplify PI into PI 29.821 * [taylor]: Taking taylor expansion of (+ a b) in a 29.821 * [taylor]: Taking taylor expansion of a in a 29.821 * [backup-simplify]: Simplify 0 into 0 29.821 * [backup-simplify]: Simplify 1 into 1 29.821 * [taylor]: Taking taylor expansion of b in a 29.821 * [backup-simplify]: Simplify b into b 29.821 * [backup-simplify]: Simplify (+ 0 b) into b 29.821 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 29.821 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ a b))) in a 29.821 * [taylor]: Taking taylor expansion of 0.5 in a 29.821 * [backup-simplify]: Simplify 0.5 into 0.5 29.821 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 29.821 * [taylor]: Taking taylor expansion of PI in a 29.821 * [backup-simplify]: Simplify PI into PI 29.821 * [taylor]: Taking taylor expansion of (+ a b) in a 29.821 * [taylor]: Taking taylor expansion of a in a 29.821 * [backup-simplify]: Simplify 0 into 0 29.822 * [backup-simplify]: Simplify 1 into 1 29.822 * [taylor]: Taking taylor expansion of b in a 29.822 * [backup-simplify]: Simplify b into b 29.822 * [backup-simplify]: Simplify (+ 0 b) into b 29.822 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 29.822 * [backup-simplify]: Simplify (* 0.5 (/ PI b)) into (* 0.5 (/ PI b)) 29.822 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 29.822 * [taylor]: Taking taylor expansion of 0.5 in b 29.822 * [backup-simplify]: Simplify 0.5 into 0.5 29.822 * [taylor]: Taking taylor expansion of (/ PI b) in b 29.822 * [taylor]: Taking taylor expansion of PI in b 29.822 * [backup-simplify]: Simplify PI into PI 29.822 * [taylor]: Taking taylor expansion of b in b 29.822 * [backup-simplify]: Simplify 0 into 0 29.822 * [backup-simplify]: Simplify 1 into 1 29.823 * [backup-simplify]: Simplify (/ PI 1) into PI 29.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.825 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 29.825 * [backup-simplify]: Simplify 0 into 0 29.825 * [backup-simplify]: Simplify (+ 1 0) into 1 29.825 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 29.826 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 0.5 (/ PI (pow b 2)))) 29.826 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 29.826 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 29.826 * [taylor]: Taking taylor expansion of 0.5 in b 29.826 * [backup-simplify]: Simplify 0.5 into 0.5 29.826 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 29.826 * [taylor]: Taking taylor expansion of PI in b 29.826 * [backup-simplify]: Simplify PI into PI 29.826 * [taylor]: Taking taylor expansion of (pow b 2) in b 29.826 * [taylor]: Taking taylor expansion of b in b 29.826 * [backup-simplify]: Simplify 0 into 0 29.826 * [backup-simplify]: Simplify 1 into 1 29.826 * [backup-simplify]: Simplify (* 1 1) into 1 29.827 * [backup-simplify]: Simplify (/ PI 1) into PI 29.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.831 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 29.832 * [backup-simplify]: Simplify (- 0) into 0 29.832 * [backup-simplify]: Simplify 0 into 0 29.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.834 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 29.834 * [backup-simplify]: Simplify 0 into 0 29.834 * [backup-simplify]: Simplify (+ 0 0) into 0 29.835 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 29.835 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 0.5 (/ PI (pow b 3))) 29.835 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 29.835 * [taylor]: Taking taylor expansion of 0.5 in b 29.836 * [backup-simplify]: Simplify 0.5 into 0.5 29.836 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 29.836 * [taylor]: Taking taylor expansion of PI in b 29.836 * [backup-simplify]: Simplify PI into PI 29.836 * [taylor]: Taking taylor expansion of (pow b 3) in b 29.836 * [taylor]: Taking taylor expansion of b in b 29.836 * [backup-simplify]: Simplify 0 into 0 29.836 * [backup-simplify]: Simplify 1 into 1 29.836 * [backup-simplify]: Simplify (* 1 1) into 1 29.838 * [backup-simplify]: Simplify (* 1 1) into 1 29.839 * [backup-simplify]: Simplify (/ PI 1) into PI 29.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.850 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.850 * [backup-simplify]: Simplify 0 into 0 29.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.854 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.854 * [backup-simplify]: Simplify (- 0) into 0 29.855 * [backup-simplify]: Simplify 0 into 0 29.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.857 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.857 * [backup-simplify]: Simplify 0 into 0 29.857 * [backup-simplify]: Simplify 0 into 0 29.858 * [backup-simplify]: Simplify (/ (* (/ PI 2.0) 1.0) (+ (/ 1 a) (/ 1 b))) into (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 29.858 * [approximate]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 29.858 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 29.858 * [taylor]: Taking taylor expansion of 0.5 in b 29.858 * [backup-simplify]: Simplify 0.5 into 0.5 29.858 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 29.858 * [taylor]: Taking taylor expansion of PI in b 29.859 * [backup-simplify]: Simplify PI into PI 29.859 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 29.859 * [taylor]: Taking taylor expansion of (/ 1 a) in b 29.859 * [taylor]: Taking taylor expansion of a in b 29.859 * [backup-simplify]: Simplify a into a 29.859 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 29.859 * [taylor]: Taking taylor expansion of (/ 1 b) in b 29.859 * [taylor]: Taking taylor expansion of b in b 29.859 * [backup-simplify]: Simplify 0 into 0 29.859 * [backup-simplify]: Simplify 1 into 1 29.859 * [backup-simplify]: Simplify (/ 1 1) into 1 29.860 * [backup-simplify]: Simplify (+ 0 1) into 1 29.860 * [backup-simplify]: Simplify (/ PI 1) into PI 29.860 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 29.860 * [taylor]: Taking taylor expansion of 0.5 in a 29.860 * [backup-simplify]: Simplify 0.5 into 0.5 29.860 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 29.860 * [taylor]: Taking taylor expansion of PI in a 29.860 * [backup-simplify]: Simplify PI into PI 29.860 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 29.860 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.860 * [taylor]: Taking taylor expansion of a in a 29.860 * [backup-simplify]: Simplify 0 into 0 29.860 * [backup-simplify]: Simplify 1 into 1 29.861 * [backup-simplify]: Simplify (/ 1 1) into 1 29.861 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.861 * [taylor]: Taking taylor expansion of b in a 29.861 * [backup-simplify]: Simplify b into b 29.861 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.861 * [backup-simplify]: Simplify (+ 1 0) into 1 29.862 * [backup-simplify]: Simplify (/ PI 1) into PI 29.862 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 29.862 * [taylor]: Taking taylor expansion of 0.5 in a 29.862 * [backup-simplify]: Simplify 0.5 into 0.5 29.862 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 29.862 * [taylor]: Taking taylor expansion of PI in a 29.862 * [backup-simplify]: Simplify PI into PI 29.862 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 29.862 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.862 * [taylor]: Taking taylor expansion of a in a 29.862 * [backup-simplify]: Simplify 0 into 0 29.862 * [backup-simplify]: Simplify 1 into 1 29.863 * [backup-simplify]: Simplify (/ 1 1) into 1 29.863 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.863 * [taylor]: Taking taylor expansion of b in a 29.863 * [backup-simplify]: Simplify b into b 29.863 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.863 * [backup-simplify]: Simplify (+ 1 0) into 1 29.864 * [backup-simplify]: Simplify (/ PI 1) into PI 29.864 * [backup-simplify]: Simplify (* 0.5 PI) into (* 0.5 PI) 29.864 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 29.864 * [taylor]: Taking taylor expansion of 0.5 in b 29.864 * [backup-simplify]: Simplify 0.5 into 0.5 29.864 * [taylor]: Taking taylor expansion of PI in b 29.864 * [backup-simplify]: Simplify PI into PI 29.865 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 29.865 * [backup-simplify]: Simplify 0 into 0 29.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.866 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 29.867 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 29.868 * [backup-simplify]: Simplify (+ (* 0.5 (- (/ PI b))) (* 0 PI)) into (- (* 0.5 (/ PI b))) 29.868 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 29.868 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 29.868 * [taylor]: Taking taylor expansion of 0.5 in b 29.868 * [backup-simplify]: Simplify 0.5 into 0.5 29.868 * [taylor]: Taking taylor expansion of (/ PI b) in b 29.868 * [taylor]: Taking taylor expansion of PI in b 29.868 * [backup-simplify]: Simplify PI into PI 29.868 * [taylor]: Taking taylor expansion of b in b 29.868 * [backup-simplify]: Simplify 0 into 0 29.868 * [backup-simplify]: Simplify 1 into 1 29.869 * [backup-simplify]: Simplify (/ PI 1) into PI 29.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.872 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 29.873 * [backup-simplify]: Simplify (- 0) into 0 29.873 * [backup-simplify]: Simplify 0 into 0 29.874 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 29.874 * [backup-simplify]: Simplify 0 into 0 29.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 29.875 * [backup-simplify]: Simplify (+ 0 0) into 0 29.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 29.876 * [backup-simplify]: Simplify (+ (* 0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 0.5 (/ PI (pow b 2))) 29.876 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 29.876 * [taylor]: Taking taylor expansion of 0.5 in b 29.876 * [backup-simplify]: Simplify 0.5 into 0.5 29.876 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 29.876 * [taylor]: Taking taylor expansion of PI in b 29.876 * [backup-simplify]: Simplify PI into PI 29.876 * [taylor]: Taking taylor expansion of (pow b 2) in b 29.876 * [taylor]: Taking taylor expansion of b in b 29.876 * [backup-simplify]: Simplify 0 into 0 29.877 * [backup-simplify]: Simplify 1 into 1 29.877 * [backup-simplify]: Simplify (* 1 1) into 1 29.877 * [backup-simplify]: Simplify (/ PI 1) into PI 29.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.881 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.881 * [backup-simplify]: Simplify 0 into 0 29.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.882 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.883 * [backup-simplify]: Simplify (- 0) into 0 29.883 * [backup-simplify]: Simplify 0 into 0 29.883 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.883 * [backup-simplify]: Simplify 0 into 0 29.883 * [backup-simplify]: Simplify 0 into 0 29.884 * [backup-simplify]: Simplify (/ (* (/ PI 2.0) 1.0) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) 29.884 * [approximate]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 29.884 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 29.884 * [taylor]: Taking taylor expansion of -0.5 in b 29.884 * [backup-simplify]: Simplify -0.5 into -0.5 29.884 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 29.884 * [taylor]: Taking taylor expansion of PI in b 29.884 * [backup-simplify]: Simplify PI into PI 29.884 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 29.884 * [taylor]: Taking taylor expansion of (/ 1 a) in b 29.884 * [taylor]: Taking taylor expansion of a in b 29.885 * [backup-simplify]: Simplify a into a 29.885 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 29.885 * [taylor]: Taking taylor expansion of (/ 1 b) in b 29.885 * [taylor]: Taking taylor expansion of b in b 29.885 * [backup-simplify]: Simplify 0 into 0 29.885 * [backup-simplify]: Simplify 1 into 1 29.885 * [backup-simplify]: Simplify (/ 1 1) into 1 29.885 * [backup-simplify]: Simplify (+ 0 1) into 1 29.885 * [backup-simplify]: Simplify (/ PI 1) into PI 29.885 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 29.885 * [taylor]: Taking taylor expansion of -0.5 in a 29.886 * [backup-simplify]: Simplify -0.5 into -0.5 29.886 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 29.886 * [taylor]: Taking taylor expansion of PI in a 29.886 * [backup-simplify]: Simplify PI into PI 29.886 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 29.886 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.886 * [taylor]: Taking taylor expansion of a in a 29.886 * [backup-simplify]: Simplify 0 into 0 29.886 * [backup-simplify]: Simplify 1 into 1 29.886 * [backup-simplify]: Simplify (/ 1 1) into 1 29.886 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.886 * [taylor]: Taking taylor expansion of b in a 29.886 * [backup-simplify]: Simplify b into b 29.886 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.886 * [backup-simplify]: Simplify (+ 1 0) into 1 29.887 * [backup-simplify]: Simplify (/ PI 1) into PI 29.887 * [taylor]: Taking taylor expansion of (* -0.5 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 29.887 * [taylor]: Taking taylor expansion of -0.5 in a 29.887 * [backup-simplify]: Simplify -0.5 into -0.5 29.887 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 29.887 * [taylor]: Taking taylor expansion of PI in a 29.887 * [backup-simplify]: Simplify PI into PI 29.887 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 29.887 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.887 * [taylor]: Taking taylor expansion of a in a 29.887 * [backup-simplify]: Simplify 0 into 0 29.887 * [backup-simplify]: Simplify 1 into 1 29.887 * [backup-simplify]: Simplify (/ 1 1) into 1 29.887 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.887 * [taylor]: Taking taylor expansion of b in a 29.887 * [backup-simplify]: Simplify b into b 29.887 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.887 * [backup-simplify]: Simplify (+ 1 0) into 1 29.888 * [backup-simplify]: Simplify (/ PI 1) into PI 29.888 * [backup-simplify]: Simplify (* -0.5 PI) into (* -0.5 PI) 29.888 * [taylor]: Taking taylor expansion of (* -0.5 PI) in b 29.888 * [taylor]: Taking taylor expansion of -0.5 in b 29.888 * [backup-simplify]: Simplify -0.5 into -0.5 29.888 * [taylor]: Taking taylor expansion of PI in b 29.888 * [backup-simplify]: Simplify PI into PI 29.889 * [backup-simplify]: Simplify (+ (* -0.5 0) (* 0 PI)) into 0 29.889 * [backup-simplify]: Simplify 0 into 0 29.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.889 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 29.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 29.890 * [backup-simplify]: Simplify (+ (* -0.5 (- (/ PI b))) (* 0 PI)) into (* 0.5 (/ PI b)) 29.890 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 29.890 * [taylor]: Taking taylor expansion of 0.5 in b 29.890 * [backup-simplify]: Simplify 0.5 into 0.5 29.890 * [taylor]: Taking taylor expansion of (/ PI b) in b 29.890 * [taylor]: Taking taylor expansion of PI in b 29.890 * [backup-simplify]: Simplify PI into PI 29.890 * [taylor]: Taking taylor expansion of b in b 29.890 * [backup-simplify]: Simplify 0 into 0 29.890 * [backup-simplify]: Simplify 1 into 1 29.890 * [backup-simplify]: Simplify (/ PI 1) into PI 29.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.892 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 29.892 * [backup-simplify]: Simplify 0 into 0 29.893 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (* 0 PI))) into 0 29.893 * [backup-simplify]: Simplify 0 into 0 29.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 29.894 * [backup-simplify]: Simplify (+ 0 0) into 0 29.894 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 29.895 * [backup-simplify]: Simplify (+ (* -0.5 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 0.5 (/ PI (pow b 2)))) 29.895 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 2)))) in b 29.895 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 29.895 * [taylor]: Taking taylor expansion of 0.5 in b 29.895 * [backup-simplify]: Simplify 0.5 into 0.5 29.895 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 29.895 * [taylor]: Taking taylor expansion of PI in b 29.895 * [backup-simplify]: Simplify PI into PI 29.895 * [taylor]: Taking taylor expansion of (pow b 2) in b 29.895 * [taylor]: Taking taylor expansion of b in b 29.895 * [backup-simplify]: Simplify 0 into 0 29.895 * [backup-simplify]: Simplify 1 into 1 29.895 * [backup-simplify]: Simplify (* 1 1) into 1 29.896 * [backup-simplify]: Simplify (/ PI 1) into PI 29.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.900 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.900 * [backup-simplify]: Simplify (- 0) into 0 29.900 * [backup-simplify]: Simplify 0 into 0 29.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.901 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.901 * [backup-simplify]: Simplify 0 into 0 29.902 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 29.902 * [backup-simplify]: Simplify 0 into 0 29.902 * [backup-simplify]: Simplify 0 into 0 29.902 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 29.902 * [backup-simplify]: Simplify (/ (- (/ 1.0 a) (/ 1.0 b)) (- b a)) into (/ (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- b a)) 29.902 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- b a)) in (a b) around 0 29.902 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- b a)) in b 29.902 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 29.902 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 29.902 * [taylor]: Taking taylor expansion of 1.0 in b 29.902 * [backup-simplify]: Simplify 1.0 into 1.0 29.902 * [taylor]: Taking taylor expansion of (/ 1 a) in b 29.902 * [taylor]: Taking taylor expansion of a in b 29.903 * [backup-simplify]: Simplify a into a 29.903 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 29.903 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 29.903 * [taylor]: Taking taylor expansion of 1.0 in b 29.903 * [backup-simplify]: Simplify 1.0 into 1.0 29.903 * [taylor]: Taking taylor expansion of (/ 1 b) in b 29.903 * [taylor]: Taking taylor expansion of b in b 29.903 * [backup-simplify]: Simplify 0 into 0 29.903 * [backup-simplify]: Simplify 1 into 1 29.903 * [backup-simplify]: Simplify (/ 1 1) into 1 29.903 * [taylor]: Taking taylor expansion of (- b a) in b 29.903 * [taylor]: Taking taylor expansion of b in b 29.903 * [backup-simplify]: Simplify 0 into 0 29.903 * [backup-simplify]: Simplify 1 into 1 29.903 * [taylor]: Taking taylor expansion of a in b 29.903 * [backup-simplify]: Simplify a into a 29.903 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 29.904 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 29.904 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 29.904 * [backup-simplify]: Simplify (- a) into (- a) 29.904 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 29.904 * [backup-simplify]: Simplify (/ (- 1.0) (- a)) into (/ 1.0 a) 29.904 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- b a)) in a 29.904 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 29.905 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 29.905 * [taylor]: Taking taylor expansion of 1.0 in a 29.905 * [backup-simplify]: Simplify 1.0 into 1.0 29.905 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.905 * [taylor]: Taking taylor expansion of a in a 29.905 * [backup-simplify]: Simplify 0 into 0 29.905 * [backup-simplify]: Simplify 1 into 1 29.905 * [backup-simplify]: Simplify (/ 1 1) into 1 29.905 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 29.905 * [taylor]: Taking taylor expansion of 1.0 in a 29.905 * [backup-simplify]: Simplify 1.0 into 1.0 29.905 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.905 * [taylor]: Taking taylor expansion of b in a 29.905 * [backup-simplify]: Simplify b into b 29.905 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.905 * [taylor]: Taking taylor expansion of (- b a) in a 29.905 * [taylor]: Taking taylor expansion of b in a 29.905 * [backup-simplify]: Simplify b into b 29.905 * [taylor]: Taking taylor expansion of a in a 29.905 * [backup-simplify]: Simplify 0 into 0 29.905 * [backup-simplify]: Simplify 1 into 1 29.906 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 29.906 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 29.907 * [backup-simplify]: Simplify (- 0) into 0 29.907 * [backup-simplify]: Simplify (+ b 0) into b 29.907 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 29.907 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- b a)) in a 29.907 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 29.907 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 29.907 * [taylor]: Taking taylor expansion of 1.0 in a 29.907 * [backup-simplify]: Simplify 1.0 into 1.0 29.907 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.907 * [taylor]: Taking taylor expansion of a in a 29.907 * [backup-simplify]: Simplify 0 into 0 29.907 * [backup-simplify]: Simplify 1 into 1 29.907 * [backup-simplify]: Simplify (/ 1 1) into 1 29.907 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 29.907 * [taylor]: Taking taylor expansion of 1.0 in a 29.907 * [backup-simplify]: Simplify 1.0 into 1.0 29.907 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.907 * [taylor]: Taking taylor expansion of b in a 29.908 * [backup-simplify]: Simplify b into b 29.908 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.908 * [taylor]: Taking taylor expansion of (- b a) in a 29.908 * [taylor]: Taking taylor expansion of b in a 29.908 * [backup-simplify]: Simplify b into b 29.908 * [taylor]: Taking taylor expansion of a in a 29.908 * [backup-simplify]: Simplify 0 into 0 29.908 * [backup-simplify]: Simplify 1 into 1 29.908 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 29.909 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 29.909 * [backup-simplify]: Simplify (- 0) into 0 29.909 * [backup-simplify]: Simplify (+ b 0) into b 29.909 * [backup-simplify]: Simplify (/ 1.0 b) into (/ 1.0 b) 29.909 * [taylor]: Taking taylor expansion of (/ 1.0 b) in b 29.909 * [taylor]: Taking taylor expansion of 1.0 in b 29.909 * [backup-simplify]: Simplify 1.0 into 1.0 29.909 * [taylor]: Taking taylor expansion of b in b 29.909 * [backup-simplify]: Simplify 0 into 0 29.909 * [backup-simplify]: Simplify 1 into 1 29.910 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 29.910 * [backup-simplify]: Simplify 1.0 into 1.0 29.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.911 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 29.911 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 29.912 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 29.912 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 29.912 * [backup-simplify]: Simplify (- 1) into -1 29.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.913 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ 1 b))) b) (+ (* (/ 1.0 b) (/ -1 b)))) into 0 29.913 * [taylor]: Taking taylor expansion of 0 in b 29.913 * [backup-simplify]: Simplify 0 into 0 29.914 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 29.914 * [backup-simplify]: Simplify 0 into 0 29.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.916 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 29.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 29.916 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 29.917 * [backup-simplify]: Simplify (- 0) into 0 29.917 * [backup-simplify]: Simplify (+ 0 0) into 0 29.918 * [backup-simplify]: Simplify (- 0) into 0 29.918 * [backup-simplify]: Simplify (+ 0 0) into 0 29.918 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1.0 b) (/ 0 b)) (* 0 (/ -1 b)))) into 0 29.918 * [taylor]: Taking taylor expansion of 0 in b 29.918 * [backup-simplify]: Simplify 0 into 0 29.918 * [backup-simplify]: Simplify 0 into 0 29.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.919 * [backup-simplify]: Simplify 0 into 0 29.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.922 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 29.922 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 29.923 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 29.923 * [backup-simplify]: Simplify (- 0) into 0 29.924 * [backup-simplify]: Simplify (+ 0 0) into 0 29.924 * [backup-simplify]: Simplify (- 0) into 0 29.924 * [backup-simplify]: Simplify (+ 0 0) into 0 29.925 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ 1.0 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ -1 b)))) into 0 29.925 * [taylor]: Taking taylor expansion of 0 in b 29.925 * [backup-simplify]: Simplify 0 into 0 29.925 * [backup-simplify]: Simplify 0 into 0 29.925 * [backup-simplify]: Simplify 0 into 0 29.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.926 * [backup-simplify]: Simplify 0 into 0 29.926 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 b) (/ 1 a))) into (/ 1.0 (* a b)) 29.926 * [backup-simplify]: Simplify (/ (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) (- (/ 1 b) (/ 1 a))) into (/ (- (* 1.0 a) (* 1.0 b)) (- (/ 1 b) (/ 1 a))) 29.926 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 a) (* 1.0 b)) (- (/ 1 b) (/ 1 a))) in (a b) around 0 29.926 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 a) (* 1.0 b)) (- (/ 1 b) (/ 1 a))) in b 29.927 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 29.927 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 29.927 * [taylor]: Taking taylor expansion of 1.0 in b 29.927 * [backup-simplify]: Simplify 1.0 into 1.0 29.927 * [taylor]: Taking taylor expansion of a in b 29.927 * [backup-simplify]: Simplify a into a 29.927 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 29.927 * [taylor]: Taking taylor expansion of 1.0 in b 29.927 * [backup-simplify]: Simplify 1.0 into 1.0 29.927 * [taylor]: Taking taylor expansion of b in b 29.927 * [backup-simplify]: Simplify 0 into 0 29.927 * [backup-simplify]: Simplify 1 into 1 29.927 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 29.927 * [taylor]: Taking taylor expansion of (/ 1 b) in b 29.927 * [taylor]: Taking taylor expansion of b in b 29.927 * [backup-simplify]: Simplify 0 into 0 29.927 * [backup-simplify]: Simplify 1 into 1 29.927 * [backup-simplify]: Simplify (/ 1 1) into 1 29.927 * [taylor]: Taking taylor expansion of (/ 1 a) in b 29.927 * [taylor]: Taking taylor expansion of a in b 29.928 * [backup-simplify]: Simplify a into a 29.928 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 29.928 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 29.928 * [backup-simplify]: Simplify (* 1.0 0) into 0 29.929 * [backup-simplify]: Simplify (- 0) into 0 29.929 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 29.929 * [backup-simplify]: Simplify (+ 1 0) into 1 29.930 * [backup-simplify]: Simplify (/ (* 1.0 a) 1) into (* 1.0 a) 29.930 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 a) (* 1.0 b)) (- (/ 1 b) (/ 1 a))) in a 29.930 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 29.930 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 29.930 * [taylor]: Taking taylor expansion of 1.0 in a 29.930 * [backup-simplify]: Simplify 1.0 into 1.0 29.930 * [taylor]: Taking taylor expansion of a in a 29.930 * [backup-simplify]: Simplify 0 into 0 29.930 * [backup-simplify]: Simplify 1 into 1 29.930 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 29.930 * [taylor]: Taking taylor expansion of 1.0 in a 29.930 * [backup-simplify]: Simplify 1.0 into 1.0 29.930 * [taylor]: Taking taylor expansion of b in a 29.930 * [backup-simplify]: Simplify b into b 29.930 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 29.930 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.930 * [taylor]: Taking taylor expansion of b in a 29.930 * [backup-simplify]: Simplify b into b 29.930 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.930 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.930 * [taylor]: Taking taylor expansion of a in a 29.930 * [backup-simplify]: Simplify 0 into 0 29.930 * [backup-simplify]: Simplify 1 into 1 29.931 * [backup-simplify]: Simplify (/ 1 1) into 1 29.931 * [backup-simplify]: Simplify (* 1.0 0) into 0 29.931 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 29.931 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 29.931 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 29.932 * [backup-simplify]: Simplify (- 1) into -1 29.932 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.932 * [backup-simplify]: Simplify (/ (- (* 1.0 b)) -1) into (* 1.0 b) 29.932 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 a) (* 1.0 b)) (- (/ 1 b) (/ 1 a))) in a 29.932 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 29.932 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 29.932 * [taylor]: Taking taylor expansion of 1.0 in a 29.933 * [backup-simplify]: Simplify 1.0 into 1.0 29.933 * [taylor]: Taking taylor expansion of a in a 29.933 * [backup-simplify]: Simplify 0 into 0 29.933 * [backup-simplify]: Simplify 1 into 1 29.933 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 29.933 * [taylor]: Taking taylor expansion of 1.0 in a 29.933 * [backup-simplify]: Simplify 1.0 into 1.0 29.933 * [taylor]: Taking taylor expansion of b in a 29.933 * [backup-simplify]: Simplify b into b 29.933 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 29.933 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.933 * [taylor]: Taking taylor expansion of b in a 29.933 * [backup-simplify]: Simplify b into b 29.933 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.933 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.933 * [taylor]: Taking taylor expansion of a in a 29.933 * [backup-simplify]: Simplify 0 into 0 29.933 * [backup-simplify]: Simplify 1 into 1 29.934 * [backup-simplify]: Simplify (/ 1 1) into 1 29.934 * [backup-simplify]: Simplify (* 1.0 0) into 0 29.934 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 29.934 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 29.934 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 29.940 * [backup-simplify]: Simplify (- 1) into -1 29.941 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.941 * [backup-simplify]: Simplify (/ (- (* 1.0 b)) -1) into (* 1.0 b) 29.941 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 29.941 * [taylor]: Taking taylor expansion of 1.0 in b 29.941 * [backup-simplify]: Simplify 1.0 into 1.0 29.941 * [taylor]: Taking taylor expansion of b in b 29.941 * [backup-simplify]: Simplify 0 into 0 29.941 * [backup-simplify]: Simplify 1 into 1 29.942 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 29.942 * [backup-simplify]: Simplify 1.0 into 1.0 29.943 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 29.943 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 29.943 * [backup-simplify]: Simplify (- 0) into 0 29.944 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 29.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.944 * [backup-simplify]: Simplify (- 0) into 0 29.944 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 29.945 * [backup-simplify]: Simplify (- (/ 1.0 -1) (+ (* (* 1.0 b) (/ (/ 1 b) -1)))) into 0 29.945 * [taylor]: Taking taylor expansion of 0 in b 29.945 * [backup-simplify]: Simplify 0 into 0 29.945 * [backup-simplify]: Simplify 0 into 0 29.945 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 29.945 * [backup-simplify]: Simplify 0 into 0 29.946 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 29.947 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 29.947 * [backup-simplify]: Simplify (- 0) into 0 29.947 * [backup-simplify]: Simplify (+ 0 0) into 0 29.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 29.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.948 * [backup-simplify]: Simplify (- 0) into 0 29.948 * [backup-simplify]: Simplify (+ 0 0) into 0 29.949 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 b) (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 29.949 * [taylor]: Taking taylor expansion of 0 in b 29.949 * [backup-simplify]: Simplify 0 into 0 29.949 * [backup-simplify]: Simplify 0 into 0 29.949 * [backup-simplify]: Simplify 0 into 0 29.949 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.949 * [backup-simplify]: Simplify 0 into 0 29.950 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.951 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 29.951 * [backup-simplify]: Simplify (- 0) into 0 29.951 * [backup-simplify]: Simplify (+ 0 0) into 0 29.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 29.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.952 * [backup-simplify]: Simplify (- 0) into 0 29.952 * [backup-simplify]: Simplify (+ 0 0) into 0 29.953 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 b) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ (/ 1 b) -1)))) into 0 29.953 * [taylor]: Taking taylor expansion of 0 in b 29.953 * [backup-simplify]: Simplify 0 into 0 29.953 * [backup-simplify]: Simplify 0 into 0 29.953 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 b) (/ 1 a))) into (/ 1.0 (* a b)) 29.954 * [backup-simplify]: Simplify (/ (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) into (/ (- (* 1.0 b) (* 1.0 a)) (- (/ 1 a) (/ 1 b))) 29.954 * [approximate]: Taking taylor expansion of (/ (- (* 1.0 b) (* 1.0 a)) (- (/ 1 a) (/ 1 b))) in (a b) around 0 29.954 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 b) (* 1.0 a)) (- (/ 1 a) (/ 1 b))) in b 29.954 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 29.954 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 29.954 * [taylor]: Taking taylor expansion of 1.0 in b 29.954 * [backup-simplify]: Simplify 1.0 into 1.0 29.954 * [taylor]: Taking taylor expansion of b in b 29.954 * [backup-simplify]: Simplify 0 into 0 29.954 * [backup-simplify]: Simplify 1 into 1 29.954 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 29.954 * [taylor]: Taking taylor expansion of 1.0 in b 29.954 * [backup-simplify]: Simplify 1.0 into 1.0 29.954 * [taylor]: Taking taylor expansion of a in b 29.954 * [backup-simplify]: Simplify a into a 29.954 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 29.954 * [taylor]: Taking taylor expansion of (/ 1 a) in b 29.954 * [taylor]: Taking taylor expansion of a in b 29.954 * [backup-simplify]: Simplify a into a 29.954 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 29.954 * [taylor]: Taking taylor expansion of (/ 1 b) in b 29.954 * [taylor]: Taking taylor expansion of b in b 29.954 * [backup-simplify]: Simplify 0 into 0 29.954 * [backup-simplify]: Simplify 1 into 1 29.954 * [backup-simplify]: Simplify (/ 1 1) into 1 29.954 * [backup-simplify]: Simplify (* 1.0 0) into 0 29.955 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 29.955 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 29.955 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 29.955 * [backup-simplify]: Simplify (- 1) into -1 29.955 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.955 * [backup-simplify]: Simplify (/ (- (* 1.0 a)) -1) into (* 1.0 a) 29.955 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 b) (* 1.0 a)) (- (/ 1 a) (/ 1 b))) in a 29.955 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 29.955 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 29.955 * [taylor]: Taking taylor expansion of 1.0 in a 29.955 * [backup-simplify]: Simplify 1.0 into 1.0 29.955 * [taylor]: Taking taylor expansion of b in a 29.955 * [backup-simplify]: Simplify b into b 29.955 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 29.955 * [taylor]: Taking taylor expansion of 1.0 in a 29.955 * [backup-simplify]: Simplify 1.0 into 1.0 29.955 * [taylor]: Taking taylor expansion of a in a 29.955 * [backup-simplify]: Simplify 0 into 0 29.955 * [backup-simplify]: Simplify 1 into 1 29.955 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 29.955 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.955 * [taylor]: Taking taylor expansion of a in a 29.955 * [backup-simplify]: Simplify 0 into 0 29.956 * [backup-simplify]: Simplify 1 into 1 29.956 * [backup-simplify]: Simplify (/ 1 1) into 1 29.956 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.956 * [taylor]: Taking taylor expansion of b in a 29.956 * [backup-simplify]: Simplify b into b 29.956 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.956 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 29.956 * [backup-simplify]: Simplify (* 1.0 0) into 0 29.956 * [backup-simplify]: Simplify (- 0) into 0 29.956 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 29.957 * [backup-simplify]: Simplify (+ 1 0) into 1 29.957 * [backup-simplify]: Simplify (/ (* 1.0 b) 1) into (* 1.0 b) 29.957 * [taylor]: Taking taylor expansion of (/ (- (* 1.0 b) (* 1.0 a)) (- (/ 1 a) (/ 1 b))) in a 29.957 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 29.957 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 29.957 * [taylor]: Taking taylor expansion of 1.0 in a 29.957 * [backup-simplify]: Simplify 1.0 into 1.0 29.957 * [taylor]: Taking taylor expansion of b in a 29.957 * [backup-simplify]: Simplify b into b 29.957 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 29.957 * [taylor]: Taking taylor expansion of 1.0 in a 29.957 * [backup-simplify]: Simplify 1.0 into 1.0 29.957 * [taylor]: Taking taylor expansion of a in a 29.957 * [backup-simplify]: Simplify 0 into 0 29.957 * [backup-simplify]: Simplify 1 into 1 29.957 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 29.957 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.957 * [taylor]: Taking taylor expansion of a in a 29.957 * [backup-simplify]: Simplify 0 into 0 29.957 * [backup-simplify]: Simplify 1 into 1 29.957 * [backup-simplify]: Simplify (/ 1 1) into 1 29.957 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.957 * [taylor]: Taking taylor expansion of b in a 29.957 * [backup-simplify]: Simplify b into b 29.957 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.957 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 29.958 * [backup-simplify]: Simplify (* 1.0 0) into 0 29.958 * [backup-simplify]: Simplify (- 0) into 0 29.958 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 29.958 * [backup-simplify]: Simplify (+ 1 0) into 1 29.958 * [backup-simplify]: Simplify (/ (* 1.0 b) 1) into (* 1.0 b) 29.958 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 29.958 * [taylor]: Taking taylor expansion of 1.0 in b 29.958 * [backup-simplify]: Simplify 1.0 into 1.0 29.958 * [taylor]: Taking taylor expansion of b in b 29.958 * [backup-simplify]: Simplify 0 into 0 29.959 * [backup-simplify]: Simplify 1 into 1 29.959 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 29.959 * [backup-simplify]: Simplify 1.0 into 1.0 29.960 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 29.961 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 29.961 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 29.961 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 29.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.962 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 29.962 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 29.963 * [backup-simplify]: Simplify (- (/ (- 1.0) 1) (+ (* (* 1.0 b) (/ (- (/ 1 b)) 1)))) into 0 29.963 * [taylor]: Taking taylor expansion of 0 in b 29.963 * [backup-simplify]: Simplify 0 into 0 29.963 * [backup-simplify]: Simplify 0 into 0 29.963 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 29.963 * [backup-simplify]: Simplify 0 into 0 29.964 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 29.964 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 29.965 * [backup-simplify]: Simplify (- 0) into 0 29.965 * [backup-simplify]: Simplify (+ 0 0) into 0 29.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 29.966 * [backup-simplify]: Simplify (- 0) into 0 29.966 * [backup-simplify]: Simplify (+ 0 0) into 0 29.967 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 b) (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 29.967 * [taylor]: Taking taylor expansion of 0 in b 29.967 * [backup-simplify]: Simplify 0 into 0 29.967 * [backup-simplify]: Simplify 0 into 0 29.967 * [backup-simplify]: Simplify 0 into 0 29.967 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.967 * [backup-simplify]: Simplify 0 into 0 29.968 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 29.969 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 29.969 * [backup-simplify]: Simplify (- 0) into 0 29.969 * [backup-simplify]: Simplify (+ 0 0) into 0 29.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 29.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 29.970 * [backup-simplify]: Simplify (- 0) into 0 29.970 * [backup-simplify]: Simplify (+ 0 0) into 0 29.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 b) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ (- (/ 1 b)) 1)))) into 0 29.971 * [taylor]: Taking taylor expansion of 0 in b 29.971 * [backup-simplify]: Simplify 0 into 0 29.971 * [backup-simplify]: Simplify 0 into 0 29.971 * [backup-simplify]: Simplify (* 1.0 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1.0 (* a b)) 29.971 * * * * [progress]: [ 3 / 4 ] generating series at (2) 29.972 * [backup-simplify]: Simplify (* (/ (* (/ PI 2.0) 1.0) (+ a b)) (/ (- (/ 1.0 a) (/ 1.0 b)) (- b a))) into (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) 29.972 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in (a b) around 0 29.972 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in b 29.972 * [taylor]: Taking taylor expansion of 0.5 in b 29.972 * [backup-simplify]: Simplify 0.5 into 0.5 29.972 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in b 29.972 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in b 29.972 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 29.973 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 29.973 * [taylor]: Taking taylor expansion of 1.0 in b 29.973 * [backup-simplify]: Simplify 1.0 into 1.0 29.973 * [taylor]: Taking taylor expansion of (/ 1 a) in b 29.973 * [taylor]: Taking taylor expansion of a in b 29.973 * [backup-simplify]: Simplify a into a 29.973 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 29.973 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 29.973 * [taylor]: Taking taylor expansion of 1.0 in b 29.973 * [backup-simplify]: Simplify 1.0 into 1.0 29.973 * [taylor]: Taking taylor expansion of (/ 1 b) in b 29.973 * [taylor]: Taking taylor expansion of b in b 29.973 * [backup-simplify]: Simplify 0 into 0 29.973 * [backup-simplify]: Simplify 1 into 1 29.973 * [backup-simplify]: Simplify (/ 1 1) into 1 29.973 * [taylor]: Taking taylor expansion of PI in b 29.973 * [backup-simplify]: Simplify PI into PI 29.973 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in b 29.973 * [taylor]: Taking taylor expansion of (- b a) in b 29.973 * [taylor]: Taking taylor expansion of b in b 29.973 * [backup-simplify]: Simplify 0 into 0 29.973 * [backup-simplify]: Simplify 1 into 1 29.973 * [taylor]: Taking taylor expansion of a in b 29.973 * [backup-simplify]: Simplify a into a 29.973 * [taylor]: Taking taylor expansion of (+ a b) in b 29.973 * [taylor]: Taking taylor expansion of a in b 29.973 * [backup-simplify]: Simplify a into a 29.973 * [taylor]: Taking taylor expansion of b in b 29.973 * [backup-simplify]: Simplify 0 into 0 29.973 * [backup-simplify]: Simplify 1 into 1 29.974 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 29.974 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 29.975 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 29.976 * [backup-simplify]: Simplify (* (- 1.0) PI) into (* -1.0 PI) 29.976 * [backup-simplify]: Simplify (- a) into (- a) 29.976 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 29.976 * [backup-simplify]: Simplify (+ a 0) into a 29.976 * [backup-simplify]: Simplify (* (- a) a) into (* -1 (pow a 2)) 29.977 * [backup-simplify]: Simplify (/ (* -1.0 PI) (* -1 (pow a 2))) into (* 1.0 (/ PI (pow a 2))) 29.977 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 29.977 * [taylor]: Taking taylor expansion of 0.5 in a 29.977 * [backup-simplify]: Simplify 0.5 into 0.5 29.977 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 29.977 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 29.977 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 29.977 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 29.977 * [taylor]: Taking taylor expansion of 1.0 in a 29.977 * [backup-simplify]: Simplify 1.0 into 1.0 29.977 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.977 * [taylor]: Taking taylor expansion of a in a 29.977 * [backup-simplify]: Simplify 0 into 0 29.977 * [backup-simplify]: Simplify 1 into 1 29.978 * [backup-simplify]: Simplify (/ 1 1) into 1 29.978 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 29.978 * [taylor]: Taking taylor expansion of 1.0 in a 29.978 * [backup-simplify]: Simplify 1.0 into 1.0 29.978 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.978 * [taylor]: Taking taylor expansion of b in a 29.978 * [backup-simplify]: Simplify b into b 29.978 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.978 * [taylor]: Taking taylor expansion of PI in a 29.978 * [backup-simplify]: Simplify PI into PI 29.978 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 29.978 * [taylor]: Taking taylor expansion of (- b a) in a 29.978 * [taylor]: Taking taylor expansion of b in a 29.978 * [backup-simplify]: Simplify b into b 29.978 * [taylor]: Taking taylor expansion of a in a 29.978 * [backup-simplify]: Simplify 0 into 0 29.978 * [backup-simplify]: Simplify 1 into 1 29.978 * [taylor]: Taking taylor expansion of (+ a b) in a 29.978 * [taylor]: Taking taylor expansion of a in a 29.978 * [backup-simplify]: Simplify 0 into 0 29.978 * [backup-simplify]: Simplify 1 into 1 29.978 * [taylor]: Taking taylor expansion of b in a 29.978 * [backup-simplify]: Simplify b into b 29.979 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 29.979 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 29.980 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 29.980 * [backup-simplify]: Simplify (- 0) into 0 29.980 * [backup-simplify]: Simplify (+ b 0) into b 29.980 * [backup-simplify]: Simplify (+ 0 b) into b 29.980 * [backup-simplify]: Simplify (* b b) into (pow b 2) 29.981 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 29.981 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b)))) in a 29.981 * [taylor]: Taking taylor expansion of 0.5 in a 29.981 * [backup-simplify]: Simplify 0.5 into 0.5 29.981 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) (* (- b a) (+ a b))) in a 29.981 * [taylor]: Taking taylor expansion of (* (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) PI) in a 29.981 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 29.981 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 29.981 * [taylor]: Taking taylor expansion of 1.0 in a 29.981 * [backup-simplify]: Simplify 1.0 into 1.0 29.981 * [taylor]: Taking taylor expansion of (/ 1 a) in a 29.981 * [taylor]: Taking taylor expansion of a in a 29.981 * [backup-simplify]: Simplify 0 into 0 29.981 * [backup-simplify]: Simplify 1 into 1 29.982 * [backup-simplify]: Simplify (/ 1 1) into 1 29.982 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 29.982 * [taylor]: Taking taylor expansion of 1.0 in a 29.982 * [backup-simplify]: Simplify 1.0 into 1.0 29.982 * [taylor]: Taking taylor expansion of (/ 1 b) in a 29.982 * [taylor]: Taking taylor expansion of b in a 29.982 * [backup-simplify]: Simplify b into b 29.982 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 29.982 * [taylor]: Taking taylor expansion of PI in a 29.982 * [backup-simplify]: Simplify PI into PI 29.982 * [taylor]: Taking taylor expansion of (* (- b a) (+ a b)) in a 29.982 * [taylor]: Taking taylor expansion of (- b a) in a 29.982 * [taylor]: Taking taylor expansion of b in a 29.982 * [backup-simplify]: Simplify b into b 29.982 * [taylor]: Taking taylor expansion of a in a 29.982 * [backup-simplify]: Simplify 0 into 0 29.982 * [backup-simplify]: Simplify 1 into 1 29.982 * [taylor]: Taking taylor expansion of (+ a b) in a 29.982 * [taylor]: Taking taylor expansion of a in a 29.982 * [backup-simplify]: Simplify 0 into 0 29.982 * [backup-simplify]: Simplify 1 into 1 29.982 * [taylor]: Taking taylor expansion of b in a 29.982 * [backup-simplify]: Simplify b into b 29.983 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 29.983 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 29.984 * [backup-simplify]: Simplify (* 1.0 PI) into (* 1.0 PI) 29.984 * [backup-simplify]: Simplify (- 0) into 0 29.984 * [backup-simplify]: Simplify (+ b 0) into b 29.984 * [backup-simplify]: Simplify (+ 0 b) into b 29.984 * [backup-simplify]: Simplify (* b b) into (pow b 2) 29.985 * [backup-simplify]: Simplify (/ (* 1.0 PI) (pow b 2)) into (* 1.0 (/ PI (pow b 2))) 29.985 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (/ PI (pow b 2)))) into (* 0.5 (/ PI (pow b 2))) 29.985 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 2))) in b 29.985 * [taylor]: Taking taylor expansion of 0.5 in b 29.985 * [backup-simplify]: Simplify 0.5 into 0.5 29.985 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 29.985 * [taylor]: Taking taylor expansion of PI in b 29.985 * [backup-simplify]: Simplify PI into PI 29.985 * [taylor]: Taking taylor expansion of (pow b 2) in b 29.985 * [taylor]: Taking taylor expansion of b in b 29.985 * [backup-simplify]: Simplify 0 into 0 29.985 * [backup-simplify]: Simplify 1 into 1 29.986 * [backup-simplify]: Simplify (* 1 1) into 1 29.986 * [backup-simplify]: Simplify (/ PI 1) into PI 29.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 29.989 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 PI)) into 0 29.989 * [backup-simplify]: Simplify 0 into 0 29.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 29.990 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 29.990 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 29.991 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 29.991 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 29.991 * [backup-simplify]: Simplify (+ (* 1.0 0) (* (- (* 1.0 (/ 1 b))) PI)) into (- (* 1.0 (/ PI b))) 29.992 * [backup-simplify]: Simplify (+ 1 0) into 1 29.992 * [backup-simplify]: Simplify (- 1) into -1 29.992 * [backup-simplify]: Simplify (+ 0 -1) into -1 29.993 * [backup-simplify]: Simplify (+ (* b 1) (* -1 b)) into 0 29.993 * [backup-simplify]: Simplify (- (/ (- (* 1.0 (/ PI b))) (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ 0 (pow b 2))))) into (- (* 1.0 (/ PI (pow b 3)))) 29.994 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2))))) into (- (* 0.5 (/ PI (pow b 3)))) 29.994 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI (pow b 3)))) in b 29.994 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 3))) in b 29.994 * [taylor]: Taking taylor expansion of 0.5 in b 29.994 * [backup-simplify]: Simplify 0.5 into 0.5 29.994 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 29.994 * [taylor]: Taking taylor expansion of PI in b 29.994 * [backup-simplify]: Simplify PI into PI 29.994 * [taylor]: Taking taylor expansion of (pow b 3) in b 29.994 * [taylor]: Taking taylor expansion of b in b 29.994 * [backup-simplify]: Simplify 0 into 0 29.994 * [backup-simplify]: Simplify 1 into 1 29.994 * [backup-simplify]: Simplify (* 1 1) into 1 29.995 * [backup-simplify]: Simplify (* 1 1) into 1 29.995 * [backup-simplify]: Simplify (/ PI 1) into PI 29.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 29.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 29.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.001 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 30.001 * [backup-simplify]: Simplify (- 0) into 0 30.001 * [backup-simplify]: Simplify 0 into 0 30.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.004 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 30.004 * [backup-simplify]: Simplify 0 into 0 30.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.006 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 30.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 30.007 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 30.007 * [backup-simplify]: Simplify (- 0) into 0 30.008 * [backup-simplify]: Simplify (+ 0 0) into 0 30.009 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* (- (* 1.0 (/ 1 b))) 0) (* 0 PI))) into 0 30.009 * [backup-simplify]: Simplify (+ 0 0) into 0 30.009 * [backup-simplify]: Simplify (- 0) into 0 30.010 * [backup-simplify]: Simplify (+ 0 0) into 0 30.010 * [backup-simplify]: Simplify (+ (* b 0) (+ (* -1 1) (* 0 b))) into (- 1) 30.012 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (* 1.0 (/ PI (pow b 2))) (/ (- 1) (pow b 2))) (* (- (* 1.0 (/ PI (pow b 3)))) (/ 0 (pow b 2))))) into (* 1.0 (/ PI (pow b 4))) 30.012 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI (pow b 4)))) (+ (* 0 (- (* 1.0 (/ PI (pow b 3))))) (* 0 (* 1.0 (/ PI (pow b 2)))))) into (* 0.5 (/ PI (pow b 4))) 30.012 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI (pow b 4))) in b 30.012 * [taylor]: Taking taylor expansion of 0.5 in b 30.012 * [backup-simplify]: Simplify 0.5 into 0.5 30.012 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 30.012 * [taylor]: Taking taylor expansion of PI in b 30.012 * [backup-simplify]: Simplify PI into PI 30.013 * [taylor]: Taking taylor expansion of (pow b 4) in b 30.013 * [taylor]: Taking taylor expansion of b in b 30.013 * [backup-simplify]: Simplify 0 into 0 30.013 * [backup-simplify]: Simplify 1 into 1 30.013 * [backup-simplify]: Simplify (* 1 1) into 1 30.013 * [backup-simplify]: Simplify (* 1 1) into 1 30.014 * [backup-simplify]: Simplify (/ PI 1) into PI 30.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 30.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 30.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.023 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.023 * [backup-simplify]: Simplify 0 into 0 30.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.028 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.028 * [backup-simplify]: Simplify (- 0) into 0 30.029 * [backup-simplify]: Simplify 0 into 0 30.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.032 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.032 * [backup-simplify]: Simplify 0 into 0 30.032 * [backup-simplify]: Simplify 0 into 0 30.034 * [backup-simplify]: Simplify (* (/ (* (/ PI 2.0) 1.0) (+ (/ 1 a) (/ 1 b))) (/ (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) (- (/ 1 b) (/ 1 a)))) into (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 30.034 * [approximate]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 30.034 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 30.034 * [taylor]: Taking taylor expansion of 0.5 in b 30.034 * [backup-simplify]: Simplify 0.5 into 0.5 30.034 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 30.034 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in b 30.034 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 30.034 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 30.034 * [taylor]: Taking taylor expansion of 1.0 in b 30.034 * [backup-simplify]: Simplify 1.0 into 1.0 30.034 * [taylor]: Taking taylor expansion of a in b 30.034 * [backup-simplify]: Simplify a into a 30.034 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 30.034 * [taylor]: Taking taylor expansion of 1.0 in b 30.034 * [backup-simplify]: Simplify 1.0 into 1.0 30.034 * [taylor]: Taking taylor expansion of b in b 30.034 * [backup-simplify]: Simplify 0 into 0 30.034 * [backup-simplify]: Simplify 1 into 1 30.034 * [taylor]: Taking taylor expansion of PI in b 30.034 * [backup-simplify]: Simplify PI into PI 30.034 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 30.034 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 30.034 * [taylor]: Taking taylor expansion of (/ 1 a) in b 30.034 * [taylor]: Taking taylor expansion of a in b 30.035 * [backup-simplify]: Simplify a into a 30.035 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 30.035 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.035 * [taylor]: Taking taylor expansion of b in b 30.035 * [backup-simplify]: Simplify 0 into 0 30.035 * [backup-simplify]: Simplify 1 into 1 30.035 * [backup-simplify]: Simplify (/ 1 1) into 1 30.035 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 30.035 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.035 * [taylor]: Taking taylor expansion of b in b 30.035 * [backup-simplify]: Simplify 0 into 0 30.035 * [backup-simplify]: Simplify 1 into 1 30.036 * [backup-simplify]: Simplify (/ 1 1) into 1 30.036 * [taylor]: Taking taylor expansion of (/ 1 a) in b 30.036 * [taylor]: Taking taylor expansion of a in b 30.036 * [backup-simplify]: Simplify a into a 30.036 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 30.036 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 30.036 * [backup-simplify]: Simplify (* 1.0 0) into 0 30.037 * [backup-simplify]: Simplify (- 0) into 0 30.037 * [backup-simplify]: Simplify (+ (* 1.0 a) 0) into (* 1.0 a) 30.037 * [backup-simplify]: Simplify (* (* 1.0 a) PI) into (* 1.0 (* a PI)) 30.037 * [backup-simplify]: Simplify (+ 0 1) into 1 30.038 * [backup-simplify]: Simplify (+ 1 0) into 1 30.038 * [backup-simplify]: Simplify (* 1 1) into 1 30.038 * [backup-simplify]: Simplify (/ (* 1.0 (* a PI)) 1) into (* 1.0 (* a PI)) 30.038 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 30.038 * [taylor]: Taking taylor expansion of 0.5 in a 30.038 * [backup-simplify]: Simplify 0.5 into 0.5 30.038 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 30.038 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 30.038 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 30.038 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 30.038 * [taylor]: Taking taylor expansion of 1.0 in a 30.038 * [backup-simplify]: Simplify 1.0 into 1.0 30.038 * [taylor]: Taking taylor expansion of a in a 30.039 * [backup-simplify]: Simplify 0 into 0 30.039 * [backup-simplify]: Simplify 1 into 1 30.039 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 30.039 * [taylor]: Taking taylor expansion of 1.0 in a 30.039 * [backup-simplify]: Simplify 1.0 into 1.0 30.039 * [taylor]: Taking taylor expansion of b in a 30.039 * [backup-simplify]: Simplify b into b 30.039 * [taylor]: Taking taylor expansion of PI in a 30.039 * [backup-simplify]: Simplify PI into PI 30.039 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 30.039 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.039 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.039 * [taylor]: Taking taylor expansion of a in a 30.039 * [backup-simplify]: Simplify 0 into 0 30.039 * [backup-simplify]: Simplify 1 into 1 30.039 * [backup-simplify]: Simplify (/ 1 1) into 1 30.039 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.039 * [taylor]: Taking taylor expansion of b in a 30.039 * [backup-simplify]: Simplify b into b 30.039 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.039 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 30.040 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.040 * [taylor]: Taking taylor expansion of b in a 30.040 * [backup-simplify]: Simplify b into b 30.040 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.040 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.040 * [taylor]: Taking taylor expansion of a in a 30.040 * [backup-simplify]: Simplify 0 into 0 30.040 * [backup-simplify]: Simplify 1 into 1 30.040 * [backup-simplify]: Simplify (/ 1 1) into 1 30.041 * [backup-simplify]: Simplify (* 1.0 0) into 0 30.041 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 30.041 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 30.041 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 30.041 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 30.041 * [backup-simplify]: Simplify (+ 1 0) into 1 30.042 * [backup-simplify]: Simplify (- 1) into -1 30.042 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.042 * [backup-simplify]: Simplify (* 1 -1) into -1 30.043 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 30.043 * [taylor]: Taking taylor expansion of (* 0.5 (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 30.043 * [taylor]: Taking taylor expansion of 0.5 in a 30.043 * [backup-simplify]: Simplify 0.5 into 0.5 30.043 * [taylor]: Taking taylor expansion of (/ (* (- (* 1.0 a) (* 1.0 b)) PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 30.043 * [taylor]: Taking taylor expansion of (* (- (* 1.0 a) (* 1.0 b)) PI) in a 30.043 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 30.043 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 30.043 * [taylor]: Taking taylor expansion of 1.0 in a 30.043 * [backup-simplify]: Simplify 1.0 into 1.0 30.043 * [taylor]: Taking taylor expansion of a in a 30.043 * [backup-simplify]: Simplify 0 into 0 30.043 * [backup-simplify]: Simplify 1 into 1 30.043 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 30.043 * [taylor]: Taking taylor expansion of 1.0 in a 30.043 * [backup-simplify]: Simplify 1.0 into 1.0 30.043 * [taylor]: Taking taylor expansion of b in a 30.043 * [backup-simplify]: Simplify b into b 30.043 * [taylor]: Taking taylor expansion of PI in a 30.043 * [backup-simplify]: Simplify PI into PI 30.043 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 30.043 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.043 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.043 * [taylor]: Taking taylor expansion of a in a 30.043 * [backup-simplify]: Simplify 0 into 0 30.043 * [backup-simplify]: Simplify 1 into 1 30.044 * [backup-simplify]: Simplify (/ 1 1) into 1 30.044 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.044 * [taylor]: Taking taylor expansion of b in a 30.044 * [backup-simplify]: Simplify b into b 30.044 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.044 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 30.044 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.044 * [taylor]: Taking taylor expansion of b in a 30.044 * [backup-simplify]: Simplify b into b 30.044 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.044 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.044 * [taylor]: Taking taylor expansion of a in a 30.044 * [backup-simplify]: Simplify 0 into 0 30.044 * [backup-simplify]: Simplify 1 into 1 30.044 * [backup-simplify]: Simplify (/ 1 1) into 1 30.045 * [backup-simplify]: Simplify (* 1.0 0) into 0 30.045 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 30.045 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 30.045 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 30.045 * [backup-simplify]: Simplify (* (- (* 1.0 b)) PI) into (* -1.0 (* PI b)) 30.046 * [backup-simplify]: Simplify (+ 1 0) into 1 30.046 * [backup-simplify]: Simplify (- 1) into -1 30.046 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.047 * [backup-simplify]: Simplify (* 1 -1) into -1 30.047 * [backup-simplify]: Simplify (/ (* -1.0 (* PI b)) -1) into (* 1.0 (* b PI)) 30.047 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (* b PI))) into (* 0.5 (* PI b)) 30.047 * [taylor]: Taking taylor expansion of (* 0.5 (* PI b)) in b 30.047 * [taylor]: Taking taylor expansion of 0.5 in b 30.047 * [backup-simplify]: Simplify 0.5 into 0.5 30.047 * [taylor]: Taking taylor expansion of (* PI b) in b 30.047 * [taylor]: Taking taylor expansion of PI in b 30.047 * [backup-simplify]: Simplify PI into PI 30.047 * [taylor]: Taking taylor expansion of b in b 30.047 * [backup-simplify]: Simplify 0 into 0 30.047 * [backup-simplify]: Simplify 1 into 1 30.048 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 30.050 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 30.051 * [backup-simplify]: Simplify (* PI 0) into 0 30.052 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 PI) (* 0 0))) into 0 30.052 * [backup-simplify]: Simplify 0 into 0 30.053 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 30.054 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 30.054 * [backup-simplify]: Simplify (- 0) into 0 30.054 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 30.055 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (* 1.0 PI)) into (* 1.0 PI) 30.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.055 * [backup-simplify]: Simplify (- 0) into 0 30.056 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 30.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.056 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 30.056 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 30.057 * [backup-simplify]: Simplify (- (/ (* 1.0 PI) -1) (+ (* (* 1.0 (* b PI)) (/ 0 -1)))) into (- (* 1.0 PI)) 30.058 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI)))) into (- (* 0.5 PI)) 30.058 * [taylor]: Taking taylor expansion of (- (* 0.5 PI)) in b 30.058 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 30.059 * [taylor]: Taking taylor expansion of 0.5 in b 30.059 * [backup-simplify]: Simplify 0.5 into 0.5 30.059 * [taylor]: Taking taylor expansion of PI in b 30.059 * [backup-simplify]: Simplify PI into PI 30.059 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 30.059 * [backup-simplify]: Simplify (- 0) into 0 30.059 * [backup-simplify]: Simplify 0 into 0 30.060 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 30.065 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.065 * [backup-simplify]: Simplify 0 into 0 30.066 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 30.067 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 30.067 * [backup-simplify]: Simplify (- 0) into 0 30.067 * [backup-simplify]: Simplify (+ 0 0) into 0 30.068 * [backup-simplify]: Simplify (+ (* (- (* 1.0 b)) 0) (+ (* 1.0 0) (* 0 PI))) into 0 30.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 30.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.069 * [backup-simplify]: Simplify (- 0) into 0 30.069 * [backup-simplify]: Simplify (+ 0 0) into 0 30.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 30.070 * [backup-simplify]: Simplify (+ 0 0) into 0 30.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 30.072 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* 1.0 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* (- (* 1.0 PI)) (/ 0 -1)))) into (* 1.0 (/ PI b)) 30.072 * [backup-simplify]: Simplify (+ (* 0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* b PI))))) into (* 0.5 (/ PI b)) 30.072 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 30.072 * [taylor]: Taking taylor expansion of 0.5 in b 30.072 * [backup-simplify]: Simplify 0.5 into 0.5 30.072 * [taylor]: Taking taylor expansion of (/ PI b) in b 30.072 * [taylor]: Taking taylor expansion of PI in b 30.072 * [backup-simplify]: Simplify PI into PI 30.072 * [taylor]: Taking taylor expansion of b in b 30.072 * [backup-simplify]: Simplify 0 into 0 30.073 * [backup-simplify]: Simplify 1 into 1 30.073 * [backup-simplify]: Simplify (/ PI 1) into PI 30.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.074 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.075 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.075 * [backup-simplify]: Simplify 0 into 0 30.076 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.076 * [backup-simplify]: Simplify (- 0) into 0 30.076 * [backup-simplify]: Simplify 0 into 0 30.077 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 30.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 30.078 * [backup-simplify]: Simplify 0 into 0 30.078 * [backup-simplify]: Simplify 0 into 0 30.081 * [backup-simplify]: Simplify (* (/ (* (/ PI 2.0) 1.0) (+ (/ 1 (- a)) (/ 1 (- b)))) (/ (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a))))) into (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 30.081 * [approximate]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 30.081 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 30.081 * [taylor]: Taking taylor expansion of -0.5 in b 30.081 * [backup-simplify]: Simplify -0.5 into -0.5 30.081 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 30.081 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in b 30.081 * [taylor]: Taking taylor expansion of PI in b 30.081 * [backup-simplify]: Simplify PI into PI 30.081 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 30.081 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 30.081 * [taylor]: Taking taylor expansion of 1.0 in b 30.081 * [backup-simplify]: Simplify 1.0 into 1.0 30.081 * [taylor]: Taking taylor expansion of b in b 30.081 * [backup-simplify]: Simplify 0 into 0 30.081 * [backup-simplify]: Simplify 1 into 1 30.081 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 30.081 * [taylor]: Taking taylor expansion of 1.0 in b 30.081 * [backup-simplify]: Simplify 1.0 into 1.0 30.081 * [taylor]: Taking taylor expansion of a in b 30.081 * [backup-simplify]: Simplify a into a 30.081 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 30.081 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 30.081 * [taylor]: Taking taylor expansion of (/ 1 a) in b 30.081 * [taylor]: Taking taylor expansion of a in b 30.081 * [backup-simplify]: Simplify a into a 30.081 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 30.081 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.081 * [taylor]: Taking taylor expansion of b in b 30.082 * [backup-simplify]: Simplify 0 into 0 30.082 * [backup-simplify]: Simplify 1 into 1 30.082 * [backup-simplify]: Simplify (/ 1 1) into 1 30.082 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 30.082 * [taylor]: Taking taylor expansion of (/ 1 a) in b 30.082 * [taylor]: Taking taylor expansion of a in b 30.082 * [backup-simplify]: Simplify a into a 30.082 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 30.082 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.082 * [taylor]: Taking taylor expansion of b in b 30.082 * [backup-simplify]: Simplify 0 into 0 30.082 * [backup-simplify]: Simplify 1 into 1 30.082 * [backup-simplify]: Simplify (/ 1 1) into 1 30.083 * [backup-simplify]: Simplify (* 1.0 0) into 0 30.083 * [backup-simplify]: Simplify (* 1.0 a) into (* 1.0 a) 30.083 * [backup-simplify]: Simplify (- (* 1.0 a)) into (- (* 1.0 a)) 30.083 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 a))) into (- (* 1.0 a)) 30.083 * [backup-simplify]: Simplify (* PI (- (* 1.0 a))) into (* -1.0 (* a PI)) 30.083 * [backup-simplify]: Simplify (+ 0 1) into 1 30.083 * [backup-simplify]: Simplify (- 1) into -1 30.084 * [backup-simplify]: Simplify (+ 0 -1) into -1 30.084 * [backup-simplify]: Simplify (* 1 -1) into -1 30.084 * [backup-simplify]: Simplify (/ (* -1.0 (* a PI)) -1) into (* 1.0 (* a PI)) 30.084 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 30.084 * [taylor]: Taking taylor expansion of -0.5 in a 30.084 * [backup-simplify]: Simplify -0.5 into -0.5 30.084 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 30.084 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 30.084 * [taylor]: Taking taylor expansion of PI in a 30.084 * [backup-simplify]: Simplify PI into PI 30.084 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 30.084 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 30.084 * [taylor]: Taking taylor expansion of 1.0 in a 30.084 * [backup-simplify]: Simplify 1.0 into 1.0 30.084 * [taylor]: Taking taylor expansion of b in a 30.084 * [backup-simplify]: Simplify b into b 30.084 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 30.084 * [taylor]: Taking taylor expansion of 1.0 in a 30.084 * [backup-simplify]: Simplify 1.0 into 1.0 30.085 * [taylor]: Taking taylor expansion of a in a 30.085 * [backup-simplify]: Simplify 0 into 0 30.085 * [backup-simplify]: Simplify 1 into 1 30.085 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 30.085 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.085 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.085 * [taylor]: Taking taylor expansion of a in a 30.085 * [backup-simplify]: Simplify 0 into 0 30.085 * [backup-simplify]: Simplify 1 into 1 30.085 * [backup-simplify]: Simplify (/ 1 1) into 1 30.085 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.085 * [taylor]: Taking taylor expansion of b in a 30.085 * [backup-simplify]: Simplify b into b 30.085 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.085 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 30.085 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.085 * [taylor]: Taking taylor expansion of a in a 30.085 * [backup-simplify]: Simplify 0 into 0 30.085 * [backup-simplify]: Simplify 1 into 1 30.085 * [backup-simplify]: Simplify (/ 1 1) into 1 30.085 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.085 * [taylor]: Taking taylor expansion of b in a 30.085 * [backup-simplify]: Simplify b into b 30.086 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.086 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 30.086 * [backup-simplify]: Simplify (* 1.0 0) into 0 30.086 * [backup-simplify]: Simplify (- 0) into 0 30.086 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 30.086 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 30.087 * [backup-simplify]: Simplify (+ 1 0) into 1 30.087 * [backup-simplify]: Simplify (+ 1 0) into 1 30.087 * [backup-simplify]: Simplify (* 1 1) into 1 30.087 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 30.087 * [taylor]: Taking taylor expansion of (* -0.5 (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 30.087 * [taylor]: Taking taylor expansion of -0.5 in a 30.087 * [backup-simplify]: Simplify -0.5 into -0.5 30.087 * [taylor]: Taking taylor expansion of (/ (* PI (- (* 1.0 b) (* 1.0 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 30.087 * [taylor]: Taking taylor expansion of (* PI (- (* 1.0 b) (* 1.0 a))) in a 30.087 * [taylor]: Taking taylor expansion of PI in a 30.087 * [backup-simplify]: Simplify PI into PI 30.087 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 30.087 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 30.087 * [taylor]: Taking taylor expansion of 1.0 in a 30.087 * [backup-simplify]: Simplify 1.0 into 1.0 30.088 * [taylor]: Taking taylor expansion of b in a 30.088 * [backup-simplify]: Simplify b into b 30.088 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 30.088 * [taylor]: Taking taylor expansion of 1.0 in a 30.088 * [backup-simplify]: Simplify 1.0 into 1.0 30.088 * [taylor]: Taking taylor expansion of a in a 30.088 * [backup-simplify]: Simplify 0 into 0 30.088 * [backup-simplify]: Simplify 1 into 1 30.088 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 30.088 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 30.088 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.088 * [taylor]: Taking taylor expansion of a in a 30.088 * [backup-simplify]: Simplify 0 into 0 30.088 * [backup-simplify]: Simplify 1 into 1 30.088 * [backup-simplify]: Simplify (/ 1 1) into 1 30.088 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.088 * [taylor]: Taking taylor expansion of b in a 30.088 * [backup-simplify]: Simplify b into b 30.088 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.088 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 30.088 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.088 * [taylor]: Taking taylor expansion of a in a 30.088 * [backup-simplify]: Simplify 0 into 0 30.088 * [backup-simplify]: Simplify 1 into 1 30.088 * [backup-simplify]: Simplify (/ 1 1) into 1 30.088 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.088 * [taylor]: Taking taylor expansion of b in a 30.088 * [backup-simplify]: Simplify b into b 30.089 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.089 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 30.089 * [backup-simplify]: Simplify (* 1.0 0) into 0 30.089 * [backup-simplify]: Simplify (- 0) into 0 30.089 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 30.089 * [backup-simplify]: Simplify (* PI (* 1.0 b)) into (* 1.0 (* b PI)) 30.090 * [backup-simplify]: Simplify (+ 1 0) into 1 30.090 * [backup-simplify]: Simplify (+ 1 0) into 1 30.090 * [backup-simplify]: Simplify (* 1 1) into 1 30.090 * [backup-simplify]: Simplify (/ (* 1.0 (* b PI)) 1) into (* 1.0 (* PI b)) 30.090 * [backup-simplify]: Simplify (* -0.5 (* 1.0 (* PI b))) into (* -0.5 (* b PI)) 30.090 * [taylor]: Taking taylor expansion of (* -0.5 (* b PI)) in b 30.090 * [taylor]: Taking taylor expansion of -0.5 in b 30.090 * [backup-simplify]: Simplify -0.5 into -0.5 30.090 * [taylor]: Taking taylor expansion of (* b PI) in b 30.090 * [taylor]: Taking taylor expansion of b in b 30.090 * [backup-simplify]: Simplify 0 into 0 30.090 * [backup-simplify]: Simplify 1 into 1 30.090 * [taylor]: Taking taylor expansion of PI in b 30.090 * [backup-simplify]: Simplify PI into PI 30.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 30.092 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 30.093 * [backup-simplify]: Simplify (* 0 PI) into 0 30.093 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 PI) (* 0 0))) into 0 30.093 * [backup-simplify]: Simplify 0 into 0 30.093 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 30.094 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 30.095 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 30.095 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 30.096 * [backup-simplify]: Simplify (+ (* PI (- 1.0)) (* 0 (* 1.0 b))) into (- (* 1.0 PI)) 30.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.096 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 30.096 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 30.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.097 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 30.097 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 30.098 * [backup-simplify]: Simplify (- (/ (- (* 1.0 PI)) 1) (+ (* (* 1.0 (* PI b)) (/ 0 1)))) into (- (* 1.0 PI)) 30.100 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b)))) into (* 0.5 PI) 30.100 * [taylor]: Taking taylor expansion of (* 0.5 PI) in b 30.100 * [taylor]: Taking taylor expansion of 0.5 in b 30.100 * [backup-simplify]: Simplify 0.5 into 0.5 30.100 * [taylor]: Taking taylor expansion of PI in b 30.100 * [backup-simplify]: Simplify PI into PI 30.100 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 PI))) into 0 30.100 * [backup-simplify]: Simplify 0 into 0 30.101 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 30.102 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 30.102 * [backup-simplify]: Simplify 0 into 0 30.102 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 30.103 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 30.103 * [backup-simplify]: Simplify (- 0) into 0 30.104 * [backup-simplify]: Simplify (+ 0 0) into 0 30.104 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 (- 1.0)) (* 0 (* 1.0 b)))) into 0 30.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 30.105 * [backup-simplify]: Simplify (- 0) into 0 30.105 * [backup-simplify]: Simplify (+ 0 0) into 0 30.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 30.106 * [backup-simplify]: Simplify (+ 0 0) into 0 30.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 30.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* 1.0 (* PI b)) (/ (- (/ 1 (pow b 2))) 1)) (* (- (* 1.0 PI)) (/ 0 1)))) into (* 1.0 (/ PI b)) 30.108 * [backup-simplify]: Simplify (+ (* -0.5 (* 1.0 (/ PI b))) (+ (* 0 (- (* 1.0 PI))) (* 0 (* 1.0 (* PI b))))) into (- (* 0.5 (/ PI b))) 30.108 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ PI b))) in b 30.108 * [taylor]: Taking taylor expansion of (* 0.5 (/ PI b)) in b 30.108 * [taylor]: Taking taylor expansion of 0.5 in b 30.108 * [backup-simplify]: Simplify 0.5 into 0.5 30.108 * [taylor]: Taking taylor expansion of (/ PI b) in b 30.109 * [taylor]: Taking taylor expansion of PI in b 30.109 * [backup-simplify]: Simplify PI into PI 30.109 * [taylor]: Taking taylor expansion of b in b 30.109 * [backup-simplify]: Simplify 0 into 0 30.109 * [backup-simplify]: Simplify 1 into 1 30.109 * [backup-simplify]: Simplify (/ PI 1) into PI 30.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 30.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.112 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.112 * [backup-simplify]: Simplify (- 0) into 0 30.112 * [backup-simplify]: Simplify 0 into 0 30.113 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 30.113 * [backup-simplify]: Simplify 0 into 0 30.113 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 30.114 * [backup-simplify]: Simplify (+ (* -0.5 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 30.114 * [backup-simplify]: Simplify 0 into 0 30.114 * [backup-simplify]: Simplify 0 into 0 30.114 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 30.114 * [backup-simplify]: Simplify (- (/ 1.0 a) (/ 1.0 b)) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 30.114 * [approximate]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in (a b) around 0 30.114 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in b 30.115 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in b 30.115 * [taylor]: Taking taylor expansion of 1.0 in b 30.115 * [backup-simplify]: Simplify 1.0 into 1.0 30.115 * [taylor]: Taking taylor expansion of (/ 1 a) in b 30.115 * [taylor]: Taking taylor expansion of a in b 30.115 * [backup-simplify]: Simplify a into a 30.115 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 30.115 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 30.115 * [taylor]: Taking taylor expansion of 1.0 in b 30.115 * [backup-simplify]: Simplify 1.0 into 1.0 30.115 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.115 * [taylor]: Taking taylor expansion of b in b 30.115 * [backup-simplify]: Simplify 0 into 0 30.115 * [backup-simplify]: Simplify 1 into 1 30.115 * [backup-simplify]: Simplify (/ 1 1) into 1 30.115 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 30.115 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 30.115 * [taylor]: Taking taylor expansion of 1.0 in a 30.115 * [backup-simplify]: Simplify 1.0 into 1.0 30.115 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.115 * [taylor]: Taking taylor expansion of a in a 30.115 * [backup-simplify]: Simplify 0 into 0 30.115 * [backup-simplify]: Simplify 1 into 1 30.115 * [backup-simplify]: Simplify (/ 1 1) into 1 30.115 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 30.115 * [taylor]: Taking taylor expansion of 1.0 in a 30.115 * [backup-simplify]: Simplify 1.0 into 1.0 30.115 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.115 * [taylor]: Taking taylor expansion of b in a 30.115 * [backup-simplify]: Simplify b into b 30.116 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.116 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) in a 30.116 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 a)) in a 30.116 * [taylor]: Taking taylor expansion of 1.0 in a 30.116 * [backup-simplify]: Simplify 1.0 into 1.0 30.116 * [taylor]: Taking taylor expansion of (/ 1 a) in a 30.116 * [taylor]: Taking taylor expansion of a in a 30.116 * [backup-simplify]: Simplify 0 into 0 30.116 * [backup-simplify]: Simplify 1 into 1 30.116 * [backup-simplify]: Simplify (/ 1 1) into 1 30.116 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in a 30.116 * [taylor]: Taking taylor expansion of 1.0 in a 30.116 * [backup-simplify]: Simplify 1.0 into 1.0 30.116 * [taylor]: Taking taylor expansion of (/ 1 b) in a 30.116 * [taylor]: Taking taylor expansion of b in a 30.116 * [backup-simplify]: Simplify b into b 30.116 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 30.116 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 30.117 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 30.117 * [taylor]: Taking taylor expansion of 1.0 in b 30.117 * [backup-simplify]: Simplify 1.0 into 1.0 30.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.118 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 30.118 * [backup-simplify]: Simplify (* 1.0 (/ 1 b)) into (/ 1.0 b) 30.118 * [backup-simplify]: Simplify (- (/ 1.0 b)) into (- (* 1.0 (/ 1 b))) 30.118 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 (/ 1 b)))) into (- (* 1.0 (/ 1 b))) 30.118 * [taylor]: Taking taylor expansion of (- (* 1.0 (/ 1 b))) in b 30.118 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 b)) in b 30.118 * [taylor]: Taking taylor expansion of 1.0 in b 30.118 * [backup-simplify]: Simplify 1.0 into 1.0 30.118 * [taylor]: Taking taylor expansion of (/ 1 b) in b 30.118 * [taylor]: Taking taylor expansion of b in b 30.118 * [backup-simplify]: Simplify 0 into 0 30.118 * [backup-simplify]: Simplify 1 into 1 30.118 * [backup-simplify]: Simplify (/ 1 1) into 1 30.118 * [backup-simplify]: Simplify (* 1.0 1) into 1.0 30.119 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 30.119 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 30.119 * [backup-simplify]: Simplify 1.0 into 1.0 30.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.120 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 30.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 30.121 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (/ 1 b))) into 0 30.121 * [backup-simplify]: Simplify (- 0) into 0 30.121 * [backup-simplify]: Simplify (+ 0 0) into 0 30.121 * [taylor]: Taking taylor expansion of 0 in b 30.121 * [backup-simplify]: Simplify 0 into 0 30.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 30.122 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 1)) into 0 30.122 * [backup-simplify]: Simplify (- 0) into 0 30.122 * [backup-simplify]: Simplify 0 into 0 30.122 * [backup-simplify]: Simplify 0 into 0 30.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.123 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 30.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 30.124 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 30.124 * [backup-simplify]: Simplify (- 0) into 0 30.124 * [backup-simplify]: Simplify (+ 0 0) into 0 30.124 * [taylor]: Taking taylor expansion of 0 in b 30.125 * [backup-simplify]: Simplify 0 into 0 30.125 * [backup-simplify]: Simplify 0 into 0 30.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.126 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 1))) into 0 30.126 * [backup-simplify]: Simplify (- 0) into 0 30.126 * [backup-simplify]: Simplify 0 into 0 30.126 * [backup-simplify]: Simplify 0 into 0 30.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 30.127 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 30.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 30.128 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 30.128 * [backup-simplify]: Simplify (- 0) into 0 30.129 * [backup-simplify]: Simplify (+ 0 0) into 0 30.129 * [taylor]: Taking taylor expansion of 0 in b 30.129 * [backup-simplify]: Simplify 0 into 0 30.129 * [backup-simplify]: Simplify 0 into 0 30.129 * [backup-simplify]: Simplify (+ (* 1.0 (* 1 (/ 1 a))) (* (- 1.0) (* (/ 1 b) 1))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 30.129 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 a)) (/ 1.0 (/ 1 b))) into (- (* 1.0 a) (* 1.0 b)) 30.129 * [approximate]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in (a b) around 0 30.129 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in b 30.129 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 30.129 * [taylor]: Taking taylor expansion of 1.0 in b 30.129 * [backup-simplify]: Simplify 1.0 into 1.0 30.129 * [taylor]: Taking taylor expansion of a in b 30.129 * [backup-simplify]: Simplify a into a 30.129 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 30.129 * [taylor]: Taking taylor expansion of 1.0 in b 30.129 * [backup-simplify]: Simplify 1.0 into 1.0 30.129 * [taylor]: Taking taylor expansion of b in b 30.129 * [backup-simplify]: Simplify 0 into 0 30.129 * [backup-simplify]: Simplify 1 into 1 30.129 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 30.129 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 30.129 * [taylor]: Taking taylor expansion of 1.0 in a 30.129 * [backup-simplify]: Simplify 1.0 into 1.0 30.129 * [taylor]: Taking taylor expansion of a in a 30.129 * [backup-simplify]: Simplify 0 into 0 30.129 * [backup-simplify]: Simplify 1 into 1 30.129 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 30.129 * [taylor]: Taking taylor expansion of 1.0 in a 30.129 * [backup-simplify]: Simplify 1.0 into 1.0 30.129 * [taylor]: Taking taylor expansion of b in a 30.130 * [backup-simplify]: Simplify b into b 30.130 * [taylor]: Taking taylor expansion of (- (* 1.0 a) (* 1.0 b)) in a 30.130 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 30.130 * [taylor]: Taking taylor expansion of 1.0 in a 30.130 * [backup-simplify]: Simplify 1.0 into 1.0 30.130 * [taylor]: Taking taylor expansion of a in a 30.130 * [backup-simplify]: Simplify 0 into 0 30.130 * [backup-simplify]: Simplify 1 into 1 30.130 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 30.130 * [taylor]: Taking taylor expansion of 1.0 in a 30.130 * [backup-simplify]: Simplify 1.0 into 1.0 30.130 * [taylor]: Taking taylor expansion of b in a 30.130 * [backup-simplify]: Simplify b into b 30.130 * [backup-simplify]: Simplify (* 1.0 0) into 0 30.130 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 30.130 * [backup-simplify]: Simplify (- (* 1.0 b)) into (- (* 1.0 b)) 30.130 * [backup-simplify]: Simplify (+ 0 (- (* 1.0 b))) into (- (* 1.0 b)) 30.130 * [taylor]: Taking taylor expansion of (- (* 1.0 b)) in b 30.130 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 30.130 * [taylor]: Taking taylor expansion of 1.0 in b 30.130 * [backup-simplify]: Simplify 1.0 into 1.0 30.130 * [taylor]: Taking taylor expansion of b in b 30.130 * [backup-simplify]: Simplify 0 into 0 30.130 * [backup-simplify]: Simplify 1 into 1 30.131 * [backup-simplify]: Simplify (* 1.0 0) into 0 30.131 * [backup-simplify]: Simplify (- 0) into 0 30.131 * [backup-simplify]: Simplify 0 into 0 30.132 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 30.132 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 30.132 * [backup-simplify]: Simplify (- 0) into 0 30.132 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 30.133 * [taylor]: Taking taylor expansion of 1.0 in b 30.133 * [backup-simplify]: Simplify 1.0 into 1.0 30.133 * [backup-simplify]: Simplify 1.0 into 1.0 30.134 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 30.134 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 30.134 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 30.135 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 30.136 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 30.137 * [backup-simplify]: Simplify (- 0) into 0 30.137 * [backup-simplify]: Simplify (+ 0 0) into 0 30.137 * [taylor]: Taking taylor expansion of 0 in b 30.137 * [backup-simplify]: Simplify 0 into 0 30.137 * [backup-simplify]: Simplify 0 into 0 30.137 * [backup-simplify]: Simplify 0 into 0 30.138 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 30.139 * [backup-simplify]: Simplify (- 0) into 0 30.139 * [backup-simplify]: Simplify 0 into 0 30.140 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 30.141 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 30.141 * [backup-simplify]: Simplify (- 0) into 0 30.142 * [backup-simplify]: Simplify (+ 0 0) into 0 30.142 * [taylor]: Taking taylor expansion of 0 in b 30.142 * [backup-simplify]: Simplify 0 into 0 30.142 * [backup-simplify]: Simplify 0 into 0 30.142 * [backup-simplify]: Simplify 0 into 0 30.142 * [backup-simplify]: Simplify 0 into 0 30.142 * [backup-simplify]: Simplify (+ (* (- 1.0) (* (/ 1 b) 1)) (* 1.0 (* 1 (/ 1 a)))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 30.143 * [backup-simplify]: Simplify (- (/ 1.0 (/ 1 (- a))) (/ 1.0 (/ 1 (- b)))) into (- (* 1.0 b) (* 1.0 a)) 30.143 * [approximate]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in (a b) around 0 30.143 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in b 30.143 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 30.143 * [taylor]: Taking taylor expansion of 1.0 in b 30.143 * [backup-simplify]: Simplify 1.0 into 1.0 30.143 * [taylor]: Taking taylor expansion of b in b 30.143 * [backup-simplify]: Simplify 0 into 0 30.143 * [backup-simplify]: Simplify 1 into 1 30.143 * [taylor]: Taking taylor expansion of (* 1.0 a) in b 30.143 * [taylor]: Taking taylor expansion of 1.0 in b 30.143 * [backup-simplify]: Simplify 1.0 into 1.0 30.143 * [taylor]: Taking taylor expansion of a in b 30.143 * [backup-simplify]: Simplify a into a 30.143 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 30.143 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 30.143 * [taylor]: Taking taylor expansion of 1.0 in a 30.143 * [backup-simplify]: Simplify 1.0 into 1.0 30.143 * [taylor]: Taking taylor expansion of b in a 30.143 * [backup-simplify]: Simplify b into b 30.143 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 30.143 * [taylor]: Taking taylor expansion of 1.0 in a 30.143 * [backup-simplify]: Simplify 1.0 into 1.0 30.143 * [taylor]: Taking taylor expansion of a in a 30.143 * [backup-simplify]: Simplify 0 into 0 30.143 * [backup-simplify]: Simplify 1 into 1 30.144 * [taylor]: Taking taylor expansion of (- (* 1.0 b) (* 1.0 a)) in a 30.144 * [taylor]: Taking taylor expansion of (* 1.0 b) in a 30.144 * [taylor]: Taking taylor expansion of 1.0 in a 30.144 * [backup-simplify]: Simplify 1.0 into 1.0 30.144 * [taylor]: Taking taylor expansion of b in a 30.144 * [backup-simplify]: Simplify b into b 30.144 * [taylor]: Taking taylor expansion of (* 1.0 a) in a 30.144 * [taylor]: Taking taylor expansion of 1.0 in a 30.144 * [backup-simplify]: Simplify 1.0 into 1.0 30.144 * [taylor]: Taking taylor expansion of a in a 30.144 * [backup-simplify]: Simplify 0 into 0 30.144 * [backup-simplify]: Simplify 1 into 1 30.144 * [backup-simplify]: Simplify (* 1.0 b) into (* 1.0 b) 30.144 * [backup-simplify]: Simplify (* 1.0 0) into 0 30.145 * [backup-simplify]: Simplify (- 0) into 0 30.145 * [backup-simplify]: Simplify (+ (* 1.0 b) 0) into (* 1.0 b) 30.145 * [taylor]: Taking taylor expansion of (* 1.0 b) in b 30.145 * [taylor]: Taking taylor expansion of 1.0 in b 30.145 * [backup-simplify]: Simplify 1.0 into 1.0 30.145 * [taylor]: Taking taylor expansion of b in b 30.145 * [backup-simplify]: Simplify 0 into 0 30.145 * [backup-simplify]: Simplify 1 into 1 30.146 * [backup-simplify]: Simplify (* 1.0 0) into 0 30.146 * [backup-simplify]: Simplify 0 into 0 30.146 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 b)) into 0 30.148 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 30.148 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 30.149 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0) 30.149 * [taylor]: Taking taylor expansion of (- 1.0) in b 30.149 * [taylor]: Taking taylor expansion of 1.0 in b 30.149 * [backup-simplify]: Simplify 1.0 into 1.0 30.149 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 30.150 * [backup-simplify]: Simplify (- 1.0) into (- 1.0) 30.151 * [backup-simplify]: Simplify (+ (* 1.0 1) (* 0 0)) into 1.0 30.151 * [backup-simplify]: Simplify 1.0 into 1.0 30.152 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 b))) into 0 30.153 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 30.153 * [backup-simplify]: Simplify (- 0) into 0 30.154 * [backup-simplify]: Simplify (+ 0 0) into 0 30.154 * [taylor]: Taking taylor expansion of 0 in b 30.154 * [backup-simplify]: Simplify 0 into 0 30.154 * [backup-simplify]: Simplify 0 into 0 30.154 * [backup-simplify]: Simplify (- 0) into 0 30.154 * [backup-simplify]: Simplify 0 into 0 30.155 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 1) (* 0 0))) into 0 30.155 * [backup-simplify]: Simplify 0 into 0 30.156 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 30.157 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 30.158 * [backup-simplify]: Simplify (- 0) into 0 30.158 * [backup-simplify]: Simplify (+ 0 0) into 0 30.158 * [taylor]: Taking taylor expansion of 0 in b 30.158 * [backup-simplify]: Simplify 0 into 0 30.158 * [backup-simplify]: Simplify 0 into 0 30.158 * [backup-simplify]: Simplify 0 into 0 30.159 * [backup-simplify]: Simplify (- 0) into 0 30.159 * [backup-simplify]: Simplify 0 into 0 30.160 * [backup-simplify]: Simplify (+ (* 1.0 (* (/ 1 (- b)) 1)) (* (- 1.0) (* 1 (/ 1 (- a))))) into (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 30.160 * * * [progress]: simplifying candidates 30.184 * [simplify]: Simplifying: (expm1 (/ (* (/ PI 2.0) 1.0) (+ a b))) (log1p (/ (* (/ PI 2.0) 1.0) (+ a b))) (- (+ (- (log PI) (log 2.0)) (log 1.0)) (log (+ a b))) (- (+ (log (/ PI 2.0)) (log 1.0)) (log (+ a b))) (- (log (* (/ PI 2.0) 1.0)) (log (+ a b))) (log (/ (* (/ PI 2.0) 1.0) (+ a b))) (exp (/ 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(/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (- (/ 1.0 b)) (/ (exp (/ 1.0 a)) (exp (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (* (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (- (* 1.0 b) (* a 1.0)) (* a b) (- (pow (/ 1.0 a) 3) (pow (/ 1.0 b) 3)) (+ (* (/ 1.0 a) (/ 1.0 a)) (+ (* (/ 1.0 b) (/ 1.0 b)) (* (/ 1.0 a) (/ 1.0 b)))) (- (/ 1.0 b)) (- (* (/ 1.0 a) (/ 1.0 a)) (* (/ 1.0 b) (/ 1.0 b))) (+ (/ 1.0 a) (/ 1.0 b)) (+ (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (- (/ 1.0 b)) 0 0 0 (/ 1.0 (* a b)) (/ 1.0 (* a b)) (/ 1.0 (* a b)) 0 0 0 (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) (- (* 1.0 (/ 1 a)) (* 1.0 (/ 1 b))) 30.208 * * [simplify]: iteration 0: 606 enodes 30.428 * * [simplify]: iteration 1: 1770 enodes 30.919 * * [simplify]: iteration complete: 5000 enodes 30.919 * * [simplify]: Extracting #0: cost 320 inf + 0 30.923 * * [simplify]: Extracting #1: cost 1478 inf + 3 30.931 * * [simplify]: Extracting #2: cost 2050 inf + 7067 30.976 * * [simplify]: Extracting #3: cost 1432 inf + 123742 31.064 * * [simplify]: Extracting #4: cost 444 inf + 407724 31.194 * * [simplify]: Extracting #5: cost 53 inf + 551598 31.324 * * [simplify]: Extracting #6: cost 0 inf + 572596 31.482 * [simplify]: Simplified to: (expm1 (/ (* (/ 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(/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (/ (- 1.0) b) (exp (- (/ 1.0 a) (/ 1.0 b))) (log (- (/ 1.0 a) (/ 1.0 b))) (exp (- (/ 1.0 a) (/ 1.0 b))) (* (cbrt (- (/ 1.0 a) (/ 1.0 b))) (cbrt (- (/ 1.0 a) (/ 1.0 b)))) (cbrt (- (/ 1.0 a) (/ 1.0 b))) (* (- (/ 1.0 a) (/ 1.0 b)) (* (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (sqrt (- (/ 1.0 a) (/ 1.0 b))) (- (* b 1.0) (* 1.0 a)) (* a b) (- (* (* (/ 1.0 a) (/ 1.0 a)) (/ 1.0 a)) (* (/ 1.0 b) (* (/ 1.0 b) (/ 1.0 b)))) (fma (/ 1.0 b) (+ (/ 1.0 b) (/ 1.0 a)) (* (/ 1.0 a) (/ 1.0 a))) (/ (- 1.0) b) (* (+ (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b))) (+ (/ 1.0 b) (/ 1.0 a)) (+ (sqrt (/ 1.0 b)) (sqrt (/ 1.0 a))) (- (sqrt (/ 1.0 a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt b)) (sqrt (/ 1.0 a))) (- (sqrt (/ 1.0 a)) (/ (sqrt 1.0) (sqrt b))) (+ (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (- (/ (sqrt 1.0) (sqrt a)) (sqrt (/ 1.0 b))) (+ (/ (sqrt 1.0) (sqrt b)) (/ (sqrt 1.0) (sqrt a))) (- (/ (sqrt 1.0) (sqrt a)) (/ (sqrt 1.0) (sqrt b))) (- (/ (cbrt 1.0) a) (/ (cbrt 1.0) b)) (- (/ (sqrt 1.0) a) (/ (sqrt 1.0) b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1 a) (/ 1 b)) (/ (- 1.0) b) 0 0 0 (/ (/ 1.0 a) b) (/ (/ 1.0 a) b) (/ (/ 1.0 a) b) 0 0 0 (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) (- (/ 1.0 a) (/ 1.0 b)) 31.549 * * * [progress]: adding candidates to table 34.257 * [progress]: [Phase 3 of 3] Extracting. 34.258 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 34.261 * * * [regime-changes]: Trying 2 branch expressions: (b a) 34.261 * * * * [regimes]: Trying to branch on b from (# # # # # # # # # #) 34.364 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # #) 34.428 * * * [regime]: Found split indices: #