11.505 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.054 * * * [progress]: [2/2] Setting up program. 0.057 * [progress]: [Phase 2 of 3] Improving. 0.057 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.057 * [simplify]: Simplifying: (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) 0.057 * * [simplify]: iteration 0: 15 enodes 0.060 * * [simplify]: iteration 1: 33 enodes 0.068 * * [simplify]: iteration 2: 95 enodes 0.098 * * [simplify]: iteration 3: 361 enodes 0.374 * * [simplify]: iteration 4: 1503 enodes 0.763 * * [simplify]: iteration 5: 2008 enodes 1.166 * * [simplify]: iteration complete: 2008 enodes 1.166 * * [simplify]: Extracting #0: cost 1 inf + 0 1.167 * * [simplify]: Extracting #1: cost 115 inf + 0 1.170 * * [simplify]: Extracting #2: cost 458 inf + 129 1.179 * * [simplify]: Extracting #3: cost 429 inf + 15794 1.211 * * [simplify]: Extracting #4: cost 96 inf + 74167 1.259 * * [simplify]: Extracting #5: cost 4 inf + 92628 1.313 * * [simplify]: Extracting #6: cost 0 inf + 93541 1.366 * [simplify]: Simplified to: (- (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a) (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) 1.377 * * [progress]: iteration 1 / 4 1.377 * * * [progress]: picking best candidate 1.382 * * * * [pick]: Picked # 1.382 * * * [progress]: localizing error 1.407 * * * [progress]: generating rewritten candidates 1.407 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.468 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 1.539 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1) 1.563 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 1.759 * * * [progress]: generating series expansions 1.759 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.761 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b) into (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) 1.761 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in (a b) around 0 1.761 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in b 1.761 * [taylor]: Taking taylor expansion of 1/2 in b 1.761 * [backup-simplify]: Simplify 1/2 into 1/2 1.761 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in b 1.761 * [taylor]: Taking taylor expansion of PI in b 1.761 * [backup-simplify]: Simplify PI into PI 1.761 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in b 1.761 * [taylor]: Taking taylor expansion of b in b 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 1.761 * [taylor]: Taking taylor expansion of (+ a b) in b 1.761 * [taylor]: Taking taylor expansion of a in b 1.761 * [backup-simplify]: Simplify a into a 1.761 * [taylor]: Taking taylor expansion of b in b 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [taylor]: Taking taylor expansion of (- b a) in b 1.761 * [taylor]: Taking taylor expansion of b in b 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.762 * [taylor]: Taking taylor expansion of a in b 1.762 * [backup-simplify]: Simplify a into a 1.762 * [backup-simplify]: Simplify (+ a 0) into a 1.762 * [backup-simplify]: Simplify (- a) into (- a) 1.762 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 1.762 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 1.762 * [backup-simplify]: Simplify (* 0 (* -1 (pow a 2))) into 0 1.763 * [backup-simplify]: Simplify (- 0) into 0 1.763 * [backup-simplify]: Simplify (+ 1 0) into 1 1.764 * [backup-simplify]: Simplify (+ 0 1) into 1 1.764 * [backup-simplify]: Simplify (+ (* a 1) (* 1 (- a))) into 0 1.764 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* -1 (pow a 2)))) into (- (pow a 2)) 1.765 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 1.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 1.765 * [taylor]: Taking taylor expansion of 1/2 in a 1.765 * [backup-simplify]: Simplify 1/2 into 1/2 1.765 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 1.765 * [taylor]: Taking taylor expansion of PI in a 1.765 * [backup-simplify]: Simplify PI into PI 1.765 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 1.765 * [taylor]: Taking taylor expansion of b in a 1.765 * [backup-simplify]: Simplify b into b 1.765 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.765 * [taylor]: Taking taylor expansion of (+ a b) in a 1.765 * [taylor]: Taking taylor expansion of a in a 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [taylor]: Taking taylor expansion of b in a 1.765 * [backup-simplify]: Simplify b into b 1.765 * [taylor]: Taking taylor expansion of (- b a) in a 1.765 * [taylor]: Taking taylor expansion of b in a 1.765 * [backup-simplify]: Simplify b into b 1.765 * [taylor]: Taking taylor expansion of a in a 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (+ 0 b) into b 1.786 * [backup-simplify]: Simplify (- 0) into 0 1.786 * [backup-simplify]: Simplify (+ b 0) into b 1.786 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.786 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 1.786 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 1.786 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 1.786 * [taylor]: Taking taylor expansion of 1/2 in a 1.786 * [backup-simplify]: Simplify 1/2 into 1/2 1.786 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 1.787 * [taylor]: Taking taylor expansion of PI in a 1.787 * [backup-simplify]: Simplify PI into PI 1.787 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 1.787 * [taylor]: Taking taylor expansion of b in a 1.787 * [backup-simplify]: Simplify b into b 1.787 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.787 * [taylor]: Taking taylor expansion of (+ a b) in a 1.787 * [taylor]: Taking taylor expansion of a in a 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [taylor]: Taking taylor expansion of b in a 1.787 * [backup-simplify]: Simplify b into b 1.787 * [taylor]: Taking taylor expansion of (- b a) in a 1.787 * [taylor]: Taking taylor expansion of b in a 1.787 * [backup-simplify]: Simplify b into b 1.787 * [taylor]: Taking taylor expansion of a in a 1.787 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify 1 into 1 1.787 * [backup-simplify]: Simplify (+ 0 b) into b 1.788 * [backup-simplify]: Simplify (- 0) into 0 1.788 * [backup-simplify]: Simplify (+ b 0) into b 1.788 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.788 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 1.788 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 1.788 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 3))) into (* 1/2 (/ PI (pow b 3))) 1.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 1.788 * [taylor]: Taking taylor expansion of 1/2 in b 1.788 * [backup-simplify]: Simplify 1/2 into 1/2 1.788 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 1.788 * [taylor]: Taking taylor expansion of PI in b 1.788 * [backup-simplify]: Simplify PI into PI 1.788 * [taylor]: Taking taylor expansion of (pow b 3) in b 1.788 * [taylor]: Taking taylor expansion of b in b 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (* 1 1) into 1 1.790 * [backup-simplify]: Simplify (* 1 1) into 1 1.790 * [backup-simplify]: Simplify (/ PI 1) into PI 1.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.796 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify (- 1) into -1 1.797 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.797 * [backup-simplify]: Simplify (+ 1 0) into 1 1.797 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 1.798 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0 1.798 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))))) into 0 1.798 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 3)))) into 0 1.798 * [taylor]: Taking taylor expansion of 0 in b 1.798 * [backup-simplify]: Simplify 0 into 0 1.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify (- 0) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify (+ 0 0) into 0 1.802 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 1.803 * [backup-simplify]: Simplify (+ (* b (- 1)) (+ (* 0 0) (* 0 (pow b 2)))) into (- b) 1.803 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ (- b) (pow b 3))) (* 0 (/ 0 (pow b 3))))) into (/ PI (pow b 5)) 1.803 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3))))) into (* 1/2 (/ PI (pow b 5))) 1.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 5))) in b 1.803 * [taylor]: Taking taylor expansion of 1/2 in b 1.803 * [backup-simplify]: Simplify 1/2 into 1/2 1.803 * [taylor]: Taking taylor expansion of (/ PI (pow b 5)) in b 1.803 * [taylor]: Taking taylor expansion of PI in b 1.803 * [backup-simplify]: Simplify PI into PI 1.803 * [taylor]: Taking taylor expansion of (pow b 5) in b 1.803 * [taylor]: Taking taylor expansion of b in b 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.804 * [backup-simplify]: Simplify (* 1 1) into 1 1.804 * [backup-simplify]: Simplify (* 1 1) into 1 1.804 * [backup-simplify]: Simplify (* 1 1) into 1 1.804 * [backup-simplify]: Simplify (/ PI 1) into PI 1.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.818 * [backup-simplify]: Simplify 0 into 0 1.818 * [backup-simplify]: Simplify (- 0) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify (+ 0 0) into 0 1.819 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 1.820 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into 0 1.820 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ (- b) (pow b 3))) (* (/ PI (pow b 5)) (/ 0 (pow b 3))))) into 0 1.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3)))))) into 0 1.821 * [taylor]: Taking taylor expansion of 0 in b 1.821 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.825 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 1 b)) into (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 1.826 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 1.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 1.826 * [taylor]: Taking taylor expansion of 1/2 in b 1.826 * [backup-simplify]: Simplify 1/2 into 1/2 1.826 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 1.827 * [taylor]: Taking taylor expansion of (* PI b) in b 1.827 * [taylor]: Taking taylor expansion of PI in b 1.827 * [backup-simplify]: Simplify PI into PI 1.827 * [taylor]: Taking taylor expansion of b in b 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 1.827 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.827 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.827 * [taylor]: Taking taylor expansion of a in b 1.827 * [backup-simplify]: Simplify a into a 1.827 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.827 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.827 * [taylor]: Taking taylor expansion of b in b 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.827 * [backup-simplify]: Simplify (/ 1 1) into 1 1.827 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.827 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.827 * [taylor]: Taking taylor expansion of b in b 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 1 into 1 1.828 * [backup-simplify]: Simplify (/ 1 1) into 1 1.828 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.828 * [taylor]: Taking taylor expansion of a in b 1.828 * [backup-simplify]: Simplify a into a 1.828 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.829 * [backup-simplify]: Simplify (* PI 0) into 0 1.830 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 1.831 * [backup-simplify]: Simplify (+ 0 1) into 1 1.831 * [backup-simplify]: Simplify (+ 1 0) into 1 1.831 * [backup-simplify]: Simplify (* 1 1) into 1 1.832 * [backup-simplify]: Simplify (/ PI 1) into PI 1.832 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.832 * [taylor]: Taking taylor expansion of 1/2 in a 1.832 * [backup-simplify]: Simplify 1/2 into 1/2 1.832 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.832 * [taylor]: Taking taylor expansion of (* PI b) in a 1.832 * [taylor]: Taking taylor expansion of PI in a 1.832 * [backup-simplify]: Simplify PI into PI 1.832 * [taylor]: Taking taylor expansion of b in a 1.832 * [backup-simplify]: Simplify b into b 1.832 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.832 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.832 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.832 * [taylor]: Taking taylor expansion of a in a 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (/ 1 1) into 1 1.833 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.833 * [taylor]: Taking taylor expansion of b in a 1.833 * [backup-simplify]: Simplify b into b 1.833 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.833 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.833 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.833 * [taylor]: Taking taylor expansion of b in a 1.833 * [backup-simplify]: Simplify b into b 1.833 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.833 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.833 * [taylor]: Taking taylor expansion of a in a 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [backup-simplify]: Simplify (/ 1 1) into 1 1.834 * [backup-simplify]: Simplify (* PI b) into (* b PI) 1.834 * [backup-simplify]: Simplify (+ 1 0) into 1 1.834 * [backup-simplify]: Simplify (- 1) into -1 1.835 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.835 * [backup-simplify]: Simplify (* 1 -1) into -1 1.835 * [backup-simplify]: Simplify (/ (* b PI) -1) into (* -1 (* b PI)) 1.835 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.835 * [taylor]: Taking taylor expansion of 1/2 in a 1.835 * [backup-simplify]: Simplify 1/2 into 1/2 1.835 * [taylor]: Taking taylor expansion of (/ (* PI b) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.835 * [taylor]: Taking taylor expansion of (* PI b) in a 1.835 * [taylor]: Taking taylor expansion of PI in a 1.836 * [backup-simplify]: Simplify PI into PI 1.836 * [taylor]: Taking taylor expansion of b in a 1.836 * [backup-simplify]: Simplify b into b 1.836 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.836 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.836 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.836 * [taylor]: Taking taylor expansion of a in a 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (/ 1 1) into 1 1.836 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.836 * [taylor]: Taking taylor expansion of b in a 1.836 * [backup-simplify]: Simplify b into b 1.836 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.836 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.836 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.836 * [taylor]: Taking taylor expansion of b in a 1.836 * [backup-simplify]: Simplify b into b 1.836 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.837 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.837 * [taylor]: Taking taylor expansion of a in a 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [backup-simplify]: Simplify (* PI b) into (* b PI) 1.838 * [backup-simplify]: Simplify (+ 1 0) into 1 1.838 * [backup-simplify]: Simplify (- 1) into -1 1.838 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.839 * [backup-simplify]: Simplify (* 1 -1) into -1 1.839 * [backup-simplify]: Simplify (/ (* b PI) -1) into (* -1 (* b PI)) 1.839 * [backup-simplify]: Simplify (* 1/2 (* -1 (* b PI))) into (* -1/2 (* PI b)) 1.839 * [taylor]: Taking taylor expansion of (* -1/2 (* PI b)) in b 1.839 * [taylor]: Taking taylor expansion of -1/2 in b 1.839 * [backup-simplify]: Simplify -1/2 into -1/2 1.839 * [taylor]: Taking taylor expansion of (* PI b) in b 1.839 * [taylor]: Taking taylor expansion of PI in b 1.839 * [backup-simplify]: Simplify PI into PI 1.839 * [taylor]: Taking taylor expansion of b in b 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.842 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1.843 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 1.844 * [backup-simplify]: Simplify (* PI 0) into 0 1.845 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.845 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify (+ (* PI 0) (* 0 b)) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (- 0) into 0 1.847 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 1.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.848 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.848 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 1.849 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* b PI)) (/ 0 -1)))) into 0 1.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* b PI)))) into 0 1.849 * [taylor]: Taking taylor expansion of 0 in b 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.852 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 b))) into 0 1.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.855 * [backup-simplify]: Simplify (- 0) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.857 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.857 * [backup-simplify]: Simplify (+ 0 0) into 0 1.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 1.859 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* b PI)) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI b)) 1.860 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (+ (* 0 0) (* 0 (* -1 (* b PI))))) into (- (* 1/2 (/ PI b))) 1.860 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 1.860 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 1.860 * [taylor]: Taking taylor expansion of 1/2 in b 1.860 * [backup-simplify]: Simplify 1/2 into 1/2 1.860 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.860 * [taylor]: Taking taylor expansion of PI in b 1.860 * [backup-simplify]: Simplify PI into PI 1.860 * [taylor]: Taking taylor expansion of b in b 1.860 * [backup-simplify]: Simplify 0 into 0 1.860 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify (/ PI 1) into PI 1.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.867 * [backup-simplify]: Simplify (- 0) into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.870 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.870 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (- b))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 1.871 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 1.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 1.871 * [taylor]: Taking taylor expansion of 1/2 in b 1.871 * [backup-simplify]: Simplify 1/2 into 1/2 1.871 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 1.871 * [taylor]: Taking taylor expansion of (* b PI) in b 1.871 * [taylor]: Taking taylor expansion of b in b 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.871 * [taylor]: Taking taylor expansion of PI in b 1.871 * [backup-simplify]: Simplify PI into PI 1.871 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 1.871 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.871 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.871 * [taylor]: Taking taylor expansion of a in b 1.871 * [backup-simplify]: Simplify a into a 1.871 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.871 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.871 * [taylor]: Taking taylor expansion of b in b 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.872 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.872 * [taylor]: Taking taylor expansion of a in b 1.872 * [backup-simplify]: Simplify a into a 1.872 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.872 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.872 * [taylor]: Taking taylor expansion of b in b 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.873 * [backup-simplify]: Simplify (* 0 PI) into 0 1.874 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.875 * [backup-simplify]: Simplify (+ 0 1) into 1 1.875 * [backup-simplify]: Simplify (- 1) into -1 1.876 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.876 * [backup-simplify]: Simplify (* 1 -1) into -1 1.876 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 1.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.876 * [taylor]: Taking taylor expansion of 1/2 in a 1.877 * [backup-simplify]: Simplify 1/2 into 1/2 1.877 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.877 * [taylor]: Taking taylor expansion of (* b PI) in a 1.877 * [taylor]: Taking taylor expansion of b in a 1.877 * [backup-simplify]: Simplify b into b 1.877 * [taylor]: Taking taylor expansion of PI in a 1.877 * [backup-simplify]: Simplify PI into PI 1.877 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.877 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.877 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.877 * [taylor]: Taking taylor expansion of a in a 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.877 * [backup-simplify]: Simplify (/ 1 1) into 1 1.877 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.877 * [taylor]: Taking taylor expansion of b in a 1.877 * [backup-simplify]: Simplify b into b 1.877 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.877 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.877 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.877 * [taylor]: Taking taylor expansion of a in a 1.877 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify 1 into 1 1.878 * [backup-simplify]: Simplify (/ 1 1) into 1 1.878 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.878 * [taylor]: Taking taylor expansion of b in a 1.878 * [backup-simplify]: Simplify b into b 1.878 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.878 * [backup-simplify]: Simplify (* b PI) into (* PI b) 1.878 * [backup-simplify]: Simplify (+ 1 0) into 1 1.879 * [backup-simplify]: Simplify (+ 1 0) into 1 1.879 * [backup-simplify]: Simplify (* 1 1) into 1 1.879 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 1.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.879 * [taylor]: Taking taylor expansion of 1/2 in a 1.879 * [backup-simplify]: Simplify 1/2 into 1/2 1.879 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.879 * [taylor]: Taking taylor expansion of (* b PI) in a 1.879 * [taylor]: Taking taylor expansion of b in a 1.879 * [backup-simplify]: Simplify b into b 1.879 * [taylor]: Taking taylor expansion of PI in a 1.879 * [backup-simplify]: Simplify PI into PI 1.879 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.879 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.879 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.879 * [taylor]: Taking taylor expansion of a in a 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.880 * [taylor]: Taking taylor expansion of b in a 1.880 * [backup-simplify]: Simplify b into b 1.880 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.880 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.880 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.880 * [taylor]: Taking taylor expansion of a in a 1.880 * [backup-simplify]: Simplify 0 into 0 1.880 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.880 * [taylor]: Taking taylor expansion of b in a 1.880 * [backup-simplify]: Simplify b into b 1.881 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.881 * [backup-simplify]: Simplify (* b PI) into (* PI b) 1.881 * [backup-simplify]: Simplify (+ 1 0) into 1 1.881 * [backup-simplify]: Simplify (+ 1 0) into 1 1.882 * [backup-simplify]: Simplify (* 1 1) into 1 1.882 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 1.882 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 1.882 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 1.882 * [taylor]: Taking taylor expansion of 1/2 in b 1.882 * [backup-simplify]: Simplify 1/2 into 1/2 1.882 * [taylor]: Taking taylor expansion of (* PI b) in b 1.882 * [taylor]: Taking taylor expansion of PI in b 1.882 * [backup-simplify]: Simplify PI into PI 1.882 * [taylor]: Taking taylor expansion of b in b 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.884 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.885 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1.886 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 1.887 * [backup-simplify]: Simplify (* PI 0) into 0 1.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 1.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.889 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.889 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 1.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.890 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 1.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)))) into 0 1.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 1.891 * [taylor]: Taking taylor expansion of 0 in b 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.893 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1.894 * [backup-simplify]: Simplify 0 into 0 1.895 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.897 * [backup-simplify]: Simplify (+ 0 0) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.898 * [backup-simplify]: Simplify (+ 0 0) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 1.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI b) 1.901 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 0) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 1.901 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 1.901 * [taylor]: Taking taylor expansion of 1/2 in b 1.901 * [backup-simplify]: Simplify 1/2 into 1/2 1.901 * [taylor]: Taking taylor expansion of (/ PI b) in b 1.901 * [taylor]: Taking taylor expansion of PI in b 1.901 * [backup-simplify]: Simplify PI into PI 1.901 * [taylor]: Taking taylor expansion of b in b 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.902 * [backup-simplify]: Simplify (/ PI 1) into PI 1.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 0 into 0 1.909 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 1.915 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a) into (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) 1.915 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in (a b) around 0 1.915 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in b 1.915 * [taylor]: Taking taylor expansion of 1/2 in b 1.915 * [backup-simplify]: Simplify 1/2 into 1/2 1.915 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in b 1.915 * [taylor]: Taking taylor expansion of PI in b 1.915 * [backup-simplify]: Simplify PI into PI 1.915 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in b 1.915 * [taylor]: Taking taylor expansion of a in b 1.915 * [backup-simplify]: Simplify a into a 1.915 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 1.915 * [taylor]: Taking taylor expansion of (+ a b) in b 1.915 * [taylor]: Taking taylor expansion of a in b 1.915 * [backup-simplify]: Simplify a into a 1.915 * [taylor]: Taking taylor expansion of b in b 1.915 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify 1 into 1 1.915 * [taylor]: Taking taylor expansion of (- b a) in b 1.915 * [taylor]: Taking taylor expansion of b in b 1.915 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of a in b 1.916 * [backup-simplify]: Simplify a into a 1.916 * [backup-simplify]: Simplify (+ a 0) into a 1.916 * [backup-simplify]: Simplify (- a) into (- a) 1.916 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 1.916 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 1.916 * [backup-simplify]: Simplify (* a (* -1 (pow a 2))) into (* -1 (pow a 3)) 1.916 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 3))) into (* -1 (/ PI (pow a 3))) 1.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in a 1.916 * [taylor]: Taking taylor expansion of 1/2 in a 1.916 * [backup-simplify]: Simplify 1/2 into 1/2 1.916 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in a 1.916 * [taylor]: Taking taylor expansion of PI in a 1.916 * [backup-simplify]: Simplify PI into PI 1.916 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in a 1.916 * [taylor]: Taking taylor expansion of a in a 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.916 * [taylor]: Taking taylor expansion of (+ a b) in a 1.916 * [taylor]: Taking taylor expansion of a in a 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 1 into 1 1.916 * [taylor]: Taking taylor expansion of b in a 1.916 * [backup-simplify]: Simplify b into b 1.916 * [taylor]: Taking taylor expansion of (- b a) in a 1.916 * [taylor]: Taking taylor expansion of b in a 1.917 * [backup-simplify]: Simplify b into b 1.917 * [taylor]: Taking taylor expansion of a in a 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 1 into 1 1.917 * [backup-simplify]: Simplify (+ 0 b) into b 1.917 * [backup-simplify]: Simplify (- 0) into 0 1.917 * [backup-simplify]: Simplify (+ b 0) into b 1.917 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.917 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 1.918 * [backup-simplify]: Simplify (- 1) into -1 1.918 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.919 * [backup-simplify]: Simplify (+ 1 0) into 1 1.919 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 1.919 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 2))) into (pow b 2) 1.919 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 1.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in a 1.919 * [taylor]: Taking taylor expansion of 1/2 in a 1.919 * [backup-simplify]: Simplify 1/2 into 1/2 1.919 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in a 1.919 * [taylor]: Taking taylor expansion of PI in a 1.919 * [backup-simplify]: Simplify PI into PI 1.919 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in a 1.919 * [taylor]: Taking taylor expansion of a in a 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 1.920 * [taylor]: Taking taylor expansion of (+ a b) in a 1.920 * [taylor]: Taking taylor expansion of a in a 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [taylor]: Taking taylor expansion of b in a 1.920 * [backup-simplify]: Simplify b into b 1.920 * [taylor]: Taking taylor expansion of (- b a) in a 1.920 * [taylor]: Taking taylor expansion of b in a 1.920 * [backup-simplify]: Simplify b into b 1.920 * [taylor]: Taking taylor expansion of a in a 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (+ 0 b) into b 1.920 * [backup-simplify]: Simplify (- 0) into 0 1.920 * [backup-simplify]: Simplify (+ b 0) into b 1.920 * [backup-simplify]: Simplify (* b b) into (pow b 2) 1.921 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 1.921 * [backup-simplify]: Simplify (- 1) into -1 1.921 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.922 * [backup-simplify]: Simplify (+ 1 0) into 1 1.922 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 1.922 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 2))) into (pow b 2) 1.922 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 1.923 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 1.923 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.923 * [taylor]: Taking taylor expansion of 1/2 in b 1.923 * [backup-simplify]: Simplify 1/2 into 1/2 1.923 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.923 * [taylor]: Taking taylor expansion of PI in b 1.923 * [backup-simplify]: Simplify PI into PI 1.923 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.923 * [taylor]: Taking taylor expansion of b in b 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (* 1 1) into 1 1.924 * [backup-simplify]: Simplify (/ PI 1) into PI 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (- 0) into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 1.931 * [backup-simplify]: Simplify (+ (* 0 (- 1)) (+ (* 1 0) (* 0 (pow b 2)))) into 0 1.932 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 1.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 2)))) into 0 1.932 * [taylor]: Taking taylor expansion of 0 in b 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (- 0) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 1.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into (- 1) 1.940 * [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)) 1.941 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 1.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 1.941 * [taylor]: Taking taylor expansion of 1/2 in b 1.941 * [backup-simplify]: Simplify 1/2 into 1/2 1.941 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 1.941 * [taylor]: Taking taylor expansion of PI in b 1.941 * [backup-simplify]: Simplify PI into PI 1.941 * [taylor]: Taking taylor expansion of (pow b 4) in b 1.941 * [taylor]: Taking taylor expansion of b in b 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.942 * [backup-simplify]: Simplify (* 1 1) into 1 1.943 * [backup-simplify]: Simplify (/ PI 1) into PI 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 1 a)) into (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 1.958 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 1.958 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 1.958 * [taylor]: Taking taylor expansion of 1/2 in b 1.958 * [backup-simplify]: Simplify 1/2 into 1/2 1.958 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 1.958 * [taylor]: Taking taylor expansion of (* PI a) in b 1.958 * [taylor]: Taking taylor expansion of PI in b 1.958 * [backup-simplify]: Simplify PI into PI 1.958 * [taylor]: Taking taylor expansion of a in b 1.958 * [backup-simplify]: Simplify a into a 1.958 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.958 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.958 * [taylor]: Taking taylor expansion of a in b 1.958 * [backup-simplify]: Simplify a into a 1.958 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.958 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.958 * [taylor]: Taking taylor expansion of b in b 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.958 * [backup-simplify]: Simplify (/ 1 1) into 1 1.958 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 1.958 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.958 * [taylor]: Taking taylor expansion of b in b 1.958 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.959 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.959 * [taylor]: Taking taylor expansion of a in b 1.959 * [backup-simplify]: Simplify a into a 1.959 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.959 * [backup-simplify]: Simplify (* PI a) into (* a PI) 1.959 * [backup-simplify]: Simplify (+ 0 1) into 1 1.959 * [backup-simplify]: Simplify (+ 1 0) into 1 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.960 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 1.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.960 * [taylor]: Taking taylor expansion of 1/2 in a 1.960 * [backup-simplify]: Simplify 1/2 into 1/2 1.960 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.960 * [taylor]: Taking taylor expansion of (* PI a) in a 1.960 * [taylor]: Taking taylor expansion of PI in a 1.960 * [backup-simplify]: Simplify PI into PI 1.960 * [taylor]: Taking taylor expansion of a in a 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.960 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.960 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.960 * [taylor]: Taking taylor expansion of a in a 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.960 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.960 * [taylor]: Taking taylor expansion of b in a 1.960 * [backup-simplify]: Simplify b into b 1.960 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.960 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.960 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.960 * [taylor]: Taking taylor expansion of b in a 1.960 * [backup-simplify]: Simplify b into b 1.960 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.960 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.960 * [taylor]: Taking taylor expansion of a in a 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [backup-simplify]: Simplify (* PI 0) into 0 1.962 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 1.962 * [backup-simplify]: Simplify (+ 1 0) into 1 1.962 * [backup-simplify]: Simplify (- 1) into -1 1.963 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.963 * [backup-simplify]: Simplify (* 1 -1) into -1 1.963 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 1.963 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 1.963 * [taylor]: Taking taylor expansion of 1/2 in a 1.963 * [backup-simplify]: Simplify 1/2 into 1/2 1.963 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 1.963 * [taylor]: Taking taylor expansion of (* PI a) in a 1.963 * [taylor]: Taking taylor expansion of PI in a 1.963 * [backup-simplify]: Simplify PI into PI 1.963 * [taylor]: Taking taylor expansion of a in a 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.963 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.963 * [taylor]: Taking taylor expansion of a in a 1.963 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (/ 1 1) into 1 1.964 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.964 * [taylor]: Taking taylor expansion of b in a 1.964 * [backup-simplify]: Simplify b into b 1.964 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.964 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 1.964 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.964 * [taylor]: Taking taylor expansion of b in a 1.964 * [backup-simplify]: Simplify b into b 1.964 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.964 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.964 * [taylor]: Taking taylor expansion of a in a 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (/ 1 1) into 1 1.965 * [backup-simplify]: Simplify (* PI 0) into 0 1.966 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 1.966 * [backup-simplify]: Simplify (+ 1 0) into 1 1.966 * [backup-simplify]: Simplify (- 1) into -1 1.966 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.967 * [backup-simplify]: Simplify (* 1 -1) into -1 1.967 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 1.968 * [backup-simplify]: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) 1.968 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 1.968 * [taylor]: Taking taylor expansion of -1/2 in b 1.968 * [backup-simplify]: Simplify -1/2 into -1/2 1.968 * [taylor]: Taking taylor expansion of PI in b 1.968 * [backup-simplify]: Simplify PI into PI 1.968 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (- 0) into 0 1.970 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.971 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 1.971 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 1.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0 1.972 * [taylor]: Taking taylor expansion of 0 in b 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (- 0) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 1.977 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 1.978 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 1/2 (/ PI (pow b 2)))) 1.978 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 1.978 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 1.978 * [taylor]: Taking taylor expansion of 1/2 in b 1.978 * [backup-simplify]: Simplify 1/2 into 1/2 1.978 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 1.978 * [taylor]: Taking taylor expansion of PI in b 1.978 * [backup-simplify]: Simplify PI into PI 1.978 * [taylor]: Taking taylor expansion of (pow b 2) in b 1.978 * [taylor]: Taking taylor expansion of b in b 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (/ PI 1) into PI 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.985 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 1.987 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 1.987 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 1.987 * [taylor]: Taking taylor expansion of 1/2 in b 1.987 * [backup-simplify]: Simplify 1/2 into 1/2 1.987 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 1.987 * [taylor]: Taking taylor expansion of (* a PI) in b 1.987 * [taylor]: Taking taylor expansion of a in b 1.987 * [backup-simplify]: Simplify a into a 1.987 * [taylor]: Taking taylor expansion of PI in b 1.987 * [backup-simplify]: Simplify PI into PI 1.987 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 1.987 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 1.987 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.987 * [taylor]: Taking taylor expansion of a in b 1.987 * [backup-simplify]: Simplify a into a 1.987 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.987 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.987 * [taylor]: Taking taylor expansion of b in b 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (/ 1 1) into 1 1.987 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 1.987 * [taylor]: Taking taylor expansion of (/ 1 a) in b 1.987 * [taylor]: Taking taylor expansion of a in b 1.987 * [backup-simplify]: Simplify a into a 1.987 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 1.987 * [taylor]: Taking taylor expansion of (/ 1 b) in b 1.987 * [taylor]: Taking taylor expansion of b in b 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (/ 1 1) into 1 1.988 * [backup-simplify]: Simplify (* a PI) into (* a PI) 1.988 * [backup-simplify]: Simplify (+ 0 1) into 1 1.988 * [backup-simplify]: Simplify (- 1) into -1 1.989 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.989 * [backup-simplify]: Simplify (* 1 -1) into -1 1.989 * [backup-simplify]: Simplify (/ (* a PI) -1) into (* -1 (* a PI)) 1.989 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.989 * [taylor]: Taking taylor expansion of 1/2 in a 1.989 * [backup-simplify]: Simplify 1/2 into 1/2 1.989 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.989 * [taylor]: Taking taylor expansion of (* a PI) in a 1.989 * [taylor]: Taking taylor expansion of a in a 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [taylor]: Taking taylor expansion of PI in a 1.989 * [backup-simplify]: Simplify PI into PI 1.989 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.989 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.989 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.989 * [taylor]: Taking taylor expansion of a in a 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (/ 1 1) into 1 1.989 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.990 * [taylor]: Taking taylor expansion of b in a 1.990 * [backup-simplify]: Simplify b into b 1.990 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.990 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.990 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.990 * [taylor]: Taking taylor expansion of a in a 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (/ 1 1) into 1 1.990 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.990 * [taylor]: Taking taylor expansion of b in a 1.990 * [backup-simplify]: Simplify b into b 1.990 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.990 * [backup-simplify]: Simplify (* 0 PI) into 0 1.991 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.992 * [backup-simplify]: Simplify (+ 1 0) into 1 1.992 * [backup-simplify]: Simplify (+ 1 0) into 1 1.992 * [backup-simplify]: Simplify (* 1 1) into 1 1.992 * [backup-simplify]: Simplify (/ PI 1) into PI 1.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 1.992 * [taylor]: Taking taylor expansion of 1/2 in a 1.992 * [backup-simplify]: Simplify 1/2 into 1/2 1.992 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 1.992 * [taylor]: Taking taylor expansion of (* a PI) in a 1.992 * [taylor]: Taking taylor expansion of a in a 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [taylor]: Taking taylor expansion of PI in a 1.993 * [backup-simplify]: Simplify PI into PI 1.993 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 1.993 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.993 * [taylor]: Taking taylor expansion of a in a 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.993 * [taylor]: Taking taylor expansion of b in a 1.993 * [backup-simplify]: Simplify b into b 1.993 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.993 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 1.993 * [taylor]: Taking taylor expansion of (/ 1 a) in a 1.993 * [taylor]: Taking taylor expansion of a in a 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [taylor]: Taking taylor expansion of (/ 1 b) in a 1.993 * [taylor]: Taking taylor expansion of b in a 1.993 * [backup-simplify]: Simplify b into b 1.993 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 1.994 * [backup-simplify]: Simplify (* 0 PI) into 0 1.995 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 1.995 * [backup-simplify]: Simplify (+ 1 0) into 1 1.995 * [backup-simplify]: Simplify (+ 1 0) into 1 1.995 * [backup-simplify]: Simplify (* 1 1) into 1 1.996 * [backup-simplify]: Simplify (/ PI 1) into PI 1.996 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 1.996 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 1.996 * [taylor]: Taking taylor expansion of 1/2 in b 1.996 * [backup-simplify]: Simplify 1/2 into 1/2 1.996 * [taylor]: Taking taylor expansion of PI in b 1.996 * [backup-simplify]: Simplify PI into PI 1.997 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 1.998 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 1.999 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.000 * [taylor]: Taking taylor expansion of 0 in b 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.002 * [backup-simplify]: Simplify (- 0) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 2.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 2.006 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.006 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.006 * [taylor]: Taking taylor expansion of 1/2 in b 2.006 * [backup-simplify]: Simplify 1/2 into 1/2 2.006 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.006 * [taylor]: Taking taylor expansion of PI in b 2.006 * [backup-simplify]: Simplify PI into PI 2.006 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.006 * [taylor]: Taking taylor expansion of b in b 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (* 1 1) into 1 2.007 * [backup-simplify]: Simplify (/ PI 1) into PI 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify 0 into 0 2.020 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1) 2.020 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 2.020 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 2.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 2.021 * [taylor]: Taking taylor expansion of 1/2 in b 2.021 * [backup-simplify]: Simplify 1/2 into 1/2 2.021 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.021 * [taylor]: Taking taylor expansion of PI in b 2.021 * [backup-simplify]: Simplify PI into PI 2.021 * [taylor]: Taking taylor expansion of (+ a b) in b 2.021 * [taylor]: Taking taylor expansion of a in b 2.021 * [backup-simplify]: Simplify a into a 2.021 * [taylor]: Taking taylor expansion of b in b 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (+ a 0) into a 2.021 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.021 * [taylor]: Taking taylor expansion of 1/2 in a 2.021 * [backup-simplify]: Simplify 1/2 into 1/2 2.021 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.021 * [taylor]: Taking taylor expansion of PI in a 2.021 * [backup-simplify]: Simplify PI into PI 2.021 * [taylor]: Taking taylor expansion of (+ a b) in a 2.021 * [taylor]: Taking taylor expansion of a in a 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [taylor]: Taking taylor expansion of b in a 2.021 * [backup-simplify]: Simplify b into b 2.021 * [backup-simplify]: Simplify (+ 0 b) into b 2.021 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.021 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.021 * [taylor]: Taking taylor expansion of 1/2 in a 2.021 * [backup-simplify]: Simplify 1/2 into 1/2 2.021 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.022 * [taylor]: Taking taylor expansion of PI in a 2.022 * [backup-simplify]: Simplify PI into PI 2.022 * [taylor]: Taking taylor expansion of (+ a b) in a 2.022 * [taylor]: Taking taylor expansion of a in a 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.022 * [taylor]: Taking taylor expansion of b in a 2.022 * [backup-simplify]: Simplify b into b 2.022 * [backup-simplify]: Simplify (+ 0 b) into b 2.022 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.022 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.022 * [taylor]: Taking taylor expansion of 1/2 in b 2.022 * [backup-simplify]: Simplify 1/2 into 1/2 2.022 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.022 * [taylor]: Taking taylor expansion of PI in b 2.022 * [backup-simplify]: Simplify PI into PI 2.022 * [taylor]: Taking taylor expansion of b in b 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (/ PI 1) into PI 2.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify (+ 1 0) into 1 2.026 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.027 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.027 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.027 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.027 * [taylor]: Taking taylor expansion of 1/2 in b 2.027 * [backup-simplify]: Simplify 1/2 into 1/2 2.027 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.027 * [taylor]: Taking taylor expansion of PI in b 2.027 * [backup-simplify]: Simplify PI into PI 2.027 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.027 * [taylor]: Taking taylor expansion of b in b 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (* 1 1) into 1 2.028 * [backup-simplify]: Simplify (/ PI 1) into PI 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.036 * [backup-simplify]: Simplify (- 0) into 0 2.036 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.040 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.040 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.040 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.040 * [taylor]: Taking taylor expansion of 1/2 in b 2.040 * [backup-simplify]: Simplify 1/2 into 1/2 2.040 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.040 * [taylor]: Taking taylor expansion of PI in b 2.040 * [backup-simplify]: Simplify PI into PI 2.040 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.040 * [taylor]: Taking taylor expansion of b in b 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (* 1 1) into 1 2.041 * [backup-simplify]: Simplify (* 1 1) into 1 2.041 * [backup-simplify]: Simplify (/ PI 1) into PI 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.047 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.051 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.056 * [backup-simplify]: Simplify (- 0) into 0 2.056 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify 0 into 0 2.059 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.059 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.059 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.059 * [taylor]: Taking taylor expansion of 1/2 in b 2.059 * [backup-simplify]: Simplify 1/2 into 1/2 2.059 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.059 * [taylor]: Taking taylor expansion of PI in b 2.059 * [backup-simplify]: Simplify PI into PI 2.059 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.060 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.060 * [taylor]: Taking taylor expansion of a in b 2.060 * [backup-simplify]: Simplify a into a 2.060 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.060 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.060 * [taylor]: Taking taylor expansion of b in b 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [backup-simplify]: Simplify (/ 1 1) into 1 2.061 * [backup-simplify]: Simplify (+ 0 1) into 1 2.061 * [backup-simplify]: Simplify (/ PI 1) into PI 2.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.061 * [taylor]: Taking taylor expansion of 1/2 in a 2.061 * [backup-simplify]: Simplify 1/2 into 1/2 2.061 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.061 * [taylor]: Taking taylor expansion of PI in a 2.061 * [backup-simplify]: Simplify PI into PI 2.061 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.061 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.061 * [taylor]: Taking taylor expansion of a in a 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.062 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.062 * [taylor]: Taking taylor expansion of b in a 2.062 * [backup-simplify]: Simplify b into b 2.062 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.062 * [backup-simplify]: Simplify (+ 1 0) into 1 2.063 * [backup-simplify]: Simplify (/ PI 1) into PI 2.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.063 * [taylor]: Taking taylor expansion of 1/2 in a 2.063 * [backup-simplify]: Simplify 1/2 into 1/2 2.063 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.063 * [taylor]: Taking taylor expansion of PI in a 2.063 * [backup-simplify]: Simplify PI into PI 2.063 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.063 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.063 * [taylor]: Taking taylor expansion of a in a 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (/ 1 1) into 1 2.063 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.063 * [taylor]: Taking taylor expansion of b in a 2.063 * [backup-simplify]: Simplify b into b 2.064 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.064 * [backup-simplify]: Simplify (+ 1 0) into 1 2.065 * [backup-simplify]: Simplify (/ PI 1) into PI 2.065 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.065 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.065 * [taylor]: Taking taylor expansion of 1/2 in b 2.065 * [backup-simplify]: Simplify 1/2 into 1/2 2.065 * [taylor]: Taking taylor expansion of PI in b 2.065 * [backup-simplify]: Simplify PI into PI 2.066 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.066 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.068 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.068 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.068 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.068 * [taylor]: Taking taylor expansion of 1/2 in b 2.068 * [backup-simplify]: Simplify 1/2 into 1/2 2.068 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.068 * [taylor]: Taking taylor expansion of PI in b 2.068 * [backup-simplify]: Simplify PI into PI 2.068 * [taylor]: Taking taylor expansion of b in b 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (/ PI 1) into PI 2.070 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.071 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.072 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.072 * [backup-simplify]: Simplify (- 0) into 0 2.072 * [backup-simplify]: Simplify 0 into 0 2.073 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.073 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.077 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.077 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.077 * [taylor]: Taking taylor expansion of 1/2 in b 2.077 * [backup-simplify]: Simplify 1/2 into 1/2 2.077 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.077 * [taylor]: Taking taylor expansion of PI in b 2.077 * [backup-simplify]: Simplify PI into PI 2.077 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.077 * [taylor]: Taking taylor expansion of b in b 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 1 into 1 2.077 * [backup-simplify]: Simplify (* 1 1) into 1 2.078 * [backup-simplify]: Simplify (/ PI 1) into PI 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.085 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.087 * [backup-simplify]: Simplify (- 0) into 0 2.087 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.088 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.089 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.089 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.089 * [taylor]: Taking taylor expansion of -1/2 in b 2.089 * [backup-simplify]: Simplify -1/2 into -1/2 2.089 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.089 * [taylor]: Taking taylor expansion of PI in b 2.089 * [backup-simplify]: Simplify PI into PI 2.089 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.089 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.090 * [taylor]: Taking taylor expansion of a in b 2.090 * [backup-simplify]: Simplify a into a 2.090 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.090 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.090 * [taylor]: Taking taylor expansion of b in b 2.090 * [backup-simplify]: Simplify 0 into 0 2.090 * [backup-simplify]: Simplify 1 into 1 2.090 * [backup-simplify]: Simplify (/ 1 1) into 1 2.090 * [backup-simplify]: Simplify (+ 0 1) into 1 2.091 * [backup-simplify]: Simplify (/ PI 1) into PI 2.091 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.091 * [taylor]: Taking taylor expansion of -1/2 in a 2.091 * [backup-simplify]: Simplify -1/2 into -1/2 2.091 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.091 * [taylor]: Taking taylor expansion of PI in a 2.091 * [backup-simplify]: Simplify PI into PI 2.091 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.091 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.091 * [taylor]: Taking taylor expansion of a in a 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (/ 1 1) into 1 2.092 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.092 * [taylor]: Taking taylor expansion of b in a 2.092 * [backup-simplify]: Simplify b into b 2.092 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.092 * [backup-simplify]: Simplify (+ 1 0) into 1 2.093 * [backup-simplify]: Simplify (/ PI 1) into PI 2.093 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.093 * [taylor]: Taking taylor expansion of -1/2 in a 2.093 * [backup-simplify]: Simplify -1/2 into -1/2 2.093 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.093 * [taylor]: Taking taylor expansion of PI in a 2.093 * [backup-simplify]: Simplify PI into PI 2.093 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.093 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.093 * [taylor]: Taking taylor expansion of a in a 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 1 into 1 2.093 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.094 * [taylor]: Taking taylor expansion of b in a 2.094 * [backup-simplify]: Simplify b into b 2.094 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.094 * [backup-simplify]: Simplify (+ 1 0) into 1 2.095 * [backup-simplify]: Simplify (/ PI 1) into PI 2.095 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 2.095 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 2.095 * [taylor]: Taking taylor expansion of -1/2 in b 2.095 * [backup-simplify]: Simplify -1/2 into -1/2 2.095 * [taylor]: Taking taylor expansion of PI in b 2.095 * [backup-simplify]: Simplify PI into PI 2.096 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 2.096 * [backup-simplify]: Simplify 0 into 0 2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.097 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.098 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 2.098 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.098 * [taylor]: Taking taylor expansion of 1/2 in b 2.098 * [backup-simplify]: Simplify 1/2 into 1/2 2.098 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.098 * [taylor]: Taking taylor expansion of PI in b 2.098 * [backup-simplify]: Simplify PI into PI 2.098 * [taylor]: Taking taylor expansion of b in b 2.098 * [backup-simplify]: Simplify 0 into 0 2.098 * [backup-simplify]: Simplify 1 into 1 2.099 * [backup-simplify]: Simplify (/ PI 1) into PI 2.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.102 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.103 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.106 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.106 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 2.106 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.106 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.106 * [taylor]: Taking taylor expansion of 1/2 in b 2.106 * [backup-simplify]: Simplify 1/2 into 1/2 2.106 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.106 * [taylor]: Taking taylor expansion of PI in b 2.106 * [backup-simplify]: Simplify PI into PI 2.106 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.107 * [taylor]: Taking taylor expansion of b in b 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [backup-simplify]: Simplify (* 1 1) into 1 2.107 * [backup-simplify]: Simplify (/ PI 1) into PI 2.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.115 * [backup-simplify]: Simplify (- 0) into 0 2.115 * [backup-simplify]: Simplify 0 into 0 2.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.119 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 2.119 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 2.119 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 2.119 * [taylor]: Taking taylor expansion of 1/2 in b 2.119 * [backup-simplify]: Simplify 1/2 into 1/2 2.119 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 2.119 * [taylor]: Taking taylor expansion of PI in b 2.120 * [backup-simplify]: Simplify PI into PI 2.120 * [taylor]: Taking taylor expansion of (+ a b) in b 2.120 * [taylor]: Taking taylor expansion of a in b 2.120 * [backup-simplify]: Simplify a into a 2.120 * [taylor]: Taking taylor expansion of b in b 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (+ a 0) into a 2.120 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 2.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.120 * [taylor]: Taking taylor expansion of 1/2 in a 2.120 * [backup-simplify]: Simplify 1/2 into 1/2 2.120 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.120 * [taylor]: Taking taylor expansion of PI in a 2.120 * [backup-simplify]: Simplify PI into PI 2.120 * [taylor]: Taking taylor expansion of (+ a b) in a 2.120 * [taylor]: Taking taylor expansion of a in a 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of b in a 2.120 * [backup-simplify]: Simplify b into b 2.120 * [backup-simplify]: Simplify (+ 0 b) into b 2.120 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 2.120 * [taylor]: Taking taylor expansion of 1/2 in a 2.120 * [backup-simplify]: Simplify 1/2 into 1/2 2.120 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 2.120 * [taylor]: Taking taylor expansion of PI in a 2.120 * [backup-simplify]: Simplify PI into PI 2.120 * [taylor]: Taking taylor expansion of (+ a b) in a 2.120 * [taylor]: Taking taylor expansion of a in a 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [taylor]: Taking taylor expansion of b in a 2.121 * [backup-simplify]: Simplify b into b 2.121 * [backup-simplify]: Simplify (+ 0 b) into b 2.121 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 2.121 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 2.121 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.121 * [taylor]: Taking taylor expansion of 1/2 in b 2.121 * [backup-simplify]: Simplify 1/2 into 1/2 2.121 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.121 * [taylor]: Taking taylor expansion of PI in b 2.121 * [backup-simplify]: Simplify PI into PI 2.121 * [taylor]: Taking taylor expansion of b in b 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [backup-simplify]: Simplify (/ PI 1) into PI 2.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.123 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify (+ 1 0) into 1 2.124 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 2.124 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 2.124 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.124 * [taylor]: Taking taylor expansion of 1/2 in b 2.124 * [backup-simplify]: Simplify 1/2 into 1/2 2.124 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.124 * [taylor]: Taking taylor expansion of PI in b 2.124 * [backup-simplify]: Simplify PI into PI 2.124 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.124 * [taylor]: Taking taylor expansion of b in b 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (* 1 1) into 1 2.125 * [backup-simplify]: Simplify (/ PI 1) into PI 2.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.130 * [backup-simplify]: Simplify (- 0) into 0 2.130 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify (+ 0 0) into 0 2.133 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 2.134 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 2.134 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 2.134 * [taylor]: Taking taylor expansion of 1/2 in b 2.134 * [backup-simplify]: Simplify 1/2 into 1/2 2.134 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 2.134 * [taylor]: Taking taylor expansion of PI in b 2.134 * [backup-simplify]: Simplify PI into PI 2.134 * [taylor]: Taking taylor expansion of (pow b 3) in b 2.134 * [taylor]: Taking taylor expansion of b in b 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 1 into 1 2.134 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (* 1 1) into 1 2.135 * [backup-simplify]: Simplify (/ PI 1) into PI 2.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.145 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.149 * [backup-simplify]: Simplify (- 0) into 0 2.149 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.152 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.152 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.152 * [taylor]: Taking taylor expansion of 1/2 in b 2.152 * [backup-simplify]: Simplify 1/2 into 1/2 2.152 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.152 * [taylor]: Taking taylor expansion of PI in b 2.153 * [backup-simplify]: Simplify PI into PI 2.153 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.153 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.153 * [taylor]: Taking taylor expansion of a in b 2.153 * [backup-simplify]: Simplify a into a 2.153 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.153 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.153 * [taylor]: Taking taylor expansion of b in b 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify 1 into 1 2.153 * [backup-simplify]: Simplify (/ 1 1) into 1 2.154 * [backup-simplify]: Simplify (+ 0 1) into 1 2.154 * [backup-simplify]: Simplify (/ PI 1) into PI 2.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.155 * [taylor]: Taking taylor expansion of 1/2 in a 2.155 * [backup-simplify]: Simplify 1/2 into 1/2 2.155 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.155 * [taylor]: Taking taylor expansion of PI in a 2.155 * [backup-simplify]: Simplify PI into PI 2.155 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.155 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.155 * [taylor]: Taking taylor expansion of a in a 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (/ 1 1) into 1 2.155 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.155 * [taylor]: Taking taylor expansion of b in a 2.155 * [backup-simplify]: Simplify b into b 2.155 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.156 * [backup-simplify]: Simplify (+ 1 0) into 1 2.156 * [backup-simplify]: Simplify (/ PI 1) into PI 2.156 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.156 * [taylor]: Taking taylor expansion of 1/2 in a 2.156 * [backup-simplify]: Simplify 1/2 into 1/2 2.157 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.157 * [taylor]: Taking taylor expansion of PI in a 2.157 * [backup-simplify]: Simplify PI into PI 2.157 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.157 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.157 * [taylor]: Taking taylor expansion of a in a 2.157 * [backup-simplify]: Simplify 0 into 0 2.157 * [backup-simplify]: Simplify 1 into 1 2.157 * [backup-simplify]: Simplify (/ 1 1) into 1 2.157 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.157 * [taylor]: Taking taylor expansion of b in a 2.157 * [backup-simplify]: Simplify b into b 2.157 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.158 * [backup-simplify]: Simplify (+ 1 0) into 1 2.158 * [backup-simplify]: Simplify (/ PI 1) into PI 2.159 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 2.159 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 2.159 * [taylor]: Taking taylor expansion of 1/2 in b 2.159 * [backup-simplify]: Simplify 1/2 into 1/2 2.159 * [taylor]: Taking taylor expansion of PI in b 2.159 * [backup-simplify]: Simplify PI into PI 2.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.161 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.162 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 2.162 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 2.162 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.162 * [taylor]: Taking taylor expansion of 1/2 in b 2.162 * [backup-simplify]: Simplify 1/2 into 1/2 2.162 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.162 * [taylor]: Taking taylor expansion of PI in b 2.162 * [backup-simplify]: Simplify PI into PI 2.162 * [taylor]: Taking taylor expansion of b in b 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify (/ PI 1) into PI 2.164 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.167 * [backup-simplify]: Simplify (- 0) into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.168 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.169 * [backup-simplify]: Simplify (+ 0 0) into 0 2.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.171 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 2.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.171 * [taylor]: Taking taylor expansion of 1/2 in b 2.171 * [backup-simplify]: Simplify 1/2 into 1/2 2.171 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.171 * [taylor]: Taking taylor expansion of PI in b 2.171 * [backup-simplify]: Simplify PI into PI 2.171 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.172 * [taylor]: Taking taylor expansion of b in b 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (* 1 1) into 1 2.172 * [backup-simplify]: Simplify (/ PI 1) into PI 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.176 * [backup-simplify]: Simplify 0 into 0 2.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.178 * [backup-simplify]: Simplify (- 0) into 0 2.178 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 2.179 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 2.179 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 2.180 * [taylor]: Taking taylor expansion of -1/2 in b 2.180 * [backup-simplify]: Simplify -1/2 into -1/2 2.180 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 2.180 * [taylor]: Taking taylor expansion of PI in b 2.180 * [backup-simplify]: Simplify PI into PI 2.180 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 2.180 * [taylor]: Taking taylor expansion of (/ 1 a) in b 2.180 * [taylor]: Taking taylor expansion of a in b 2.180 * [backup-simplify]: Simplify a into a 2.180 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 2.180 * [taylor]: Taking taylor expansion of (/ 1 b) in b 2.180 * [taylor]: Taking taylor expansion of b in b 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify (/ 1 1) into 1 2.182 * [backup-simplify]: Simplify (+ 0 1) into 1 2.183 * [backup-simplify]: Simplify (/ PI 1) into PI 2.183 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.183 * [taylor]: Taking taylor expansion of -1/2 in a 2.183 * [backup-simplify]: Simplify -1/2 into -1/2 2.183 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.183 * [taylor]: Taking taylor expansion of PI in a 2.183 * [backup-simplify]: Simplify PI into PI 2.183 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.183 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.183 * [taylor]: Taking taylor expansion of a in a 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (/ 1 1) into 1 2.183 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.183 * [taylor]: Taking taylor expansion of b in a 2.183 * [backup-simplify]: Simplify b into b 2.183 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.184 * [backup-simplify]: Simplify (+ 1 0) into 1 2.184 * [backup-simplify]: Simplify (/ PI 1) into PI 2.184 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 2.184 * [taylor]: Taking taylor expansion of -1/2 in a 2.184 * [backup-simplify]: Simplify -1/2 into -1/2 2.184 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 2.184 * [taylor]: Taking taylor expansion of PI in a 2.184 * [backup-simplify]: Simplify PI into PI 2.184 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 2.184 * [taylor]: Taking taylor expansion of (/ 1 a) in a 2.184 * [taylor]: Taking taylor expansion of a in a 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 1 into 1 2.184 * [backup-simplify]: Simplify (/ 1 1) into 1 2.184 * [taylor]: Taking taylor expansion of (/ 1 b) in a 2.184 * [taylor]: Taking taylor expansion of b in a 2.185 * [backup-simplify]: Simplify b into b 2.185 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 2.185 * [backup-simplify]: Simplify (+ 1 0) into 1 2.185 * [backup-simplify]: Simplify (/ PI 1) into PI 2.186 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 2.186 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 2.186 * [taylor]: Taking taylor expansion of -1/2 in b 2.186 * [backup-simplify]: Simplify -1/2 into -1/2 2.186 * [taylor]: Taking taylor expansion of PI in b 2.186 * [backup-simplify]: Simplify PI into PI 2.186 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 2.186 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 2.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 2.187 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 2.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 2.187 * [taylor]: Taking taylor expansion of 1/2 in b 2.187 * [backup-simplify]: Simplify 1/2 into 1/2 2.187 * [taylor]: Taking taylor expansion of (/ PI b) in b 2.187 * [taylor]: Taking taylor expansion of PI in b 2.188 * [backup-simplify]: Simplify PI into PI 2.188 * [taylor]: Taking taylor expansion of b in b 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (/ PI 1) into PI 2.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 2.190 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 2.191 * [backup-simplify]: Simplify (+ 0 0) into 0 2.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 2.193 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 2.193 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 2.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 2.193 * [taylor]: Taking taylor expansion of 1/2 in b 2.193 * [backup-simplify]: Simplify 1/2 into 1/2 2.193 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 2.193 * [taylor]: Taking taylor expansion of PI in b 2.193 * [backup-simplify]: Simplify PI into PI 2.193 * [taylor]: Taking taylor expansion of (pow b 2) in b 2.193 * [taylor]: Taking taylor expansion of b in b 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (* 1 1) into 1 2.194 * [backup-simplify]: Simplify (/ PI 1) into PI 2.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.198 * [backup-simplify]: Simplify (- 0) into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * * * [progress]: simplifying candidates 2.201 * * * * [progress]: [ 1 / 2608 ] simplifiying candidate # 2.201 * * * * [progress]: [ 2 / 2608 ] simplifiying candidate # 2.201 * * * * [progress]: [ 3 / 2608 ] simplifiying candidate # 2.201 * * * * [progress]: [ 4 / 2608 ] simplifiying candidate # 2.201 * * * * [progress]: [ 5 / 2608 ] simplifiying candidate # 2.201 * * * * [progress]: [ 6 / 2608 ] simplifiying candidate # 2.201 * * * * [progress]: [ 7 / 2608 ] simplifiying candidate # 2.201 * * * * [progress]: [ 8 / 2608 ] simplifiying candidate # 2.202 * * * * [progress]: [ 9 / 2608 ] simplifiying candidate # 2.202 * * * * [progress]: [ 10 / 2608 ] simplifiying candidate # 2.202 * * * * [progress]: [ 11 / 2608 ] simplifiying candidate # 2.202 * * * * [progress]: [ 12 / 2608 ] simplifiying candidate # 2.202 * * * * [progress]: [ 13 / 2608 ] simplifiying candidate # 2.202 * * * * [progress]: [ 14 / 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* * [progress]: [ 2595 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2596 / 2608 ] simplifiying candidate #real (real->posit16 (/ (/ PI 2) (+ a b)))) (- b a)) a) (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)))> 2.401 * * * * [progress]: [ 2597 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2598 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2599 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2600 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2601 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2602 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2603 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2604 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2605 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2606 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2607 / 2608 ] simplifiying candidate # 2.401 * * * * [progress]: [ 2608 / 2608 ] simplifiying candidate # 2.470 * [simplify]: Simplifying: (expm1 (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (log1p (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (- (- (- (- (log PI) (log 2)) (log (+ a b))) (log (- b a))) (log b)) (- (- (- (log (/ PI 2)) (log (+ a b))) (log (- b a))) (log b)) (- (- (log (/ (/ PI 2) (+ a b))) (log (- b a))) (log b)) (- (log (/ (/ (/ PI 2) (+ a b)) (- b a))) (log b)) (log (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (exp (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (/ (/ (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) (* (* b b) b)) (/ (/ (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b a) (- b a)) (- b a))) (* (* b b) b)) (/ (/ (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (* (* (- b a) (- b a)) (- b a))) (* (* b b) b)) (/ (* (* (/ (/ (/ PI 2) (+ a b)) (- b a)) (/ (/ (/ PI 2) (+ a b)) (- b a))) (/ (/ (/ PI 2) (+ a b)) (- b a))) (* (* b b) b)) (* (cbrt (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (cbrt (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b))) (cbrt (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (* (* (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b) (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (sqrt (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (sqrt (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (- (/ (/ (/ PI 2) (+ a b)) (- b a))) (- b) (/ (* (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a)))) (* (cbrt b) (cbrt b))) (/ (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt b)) (/ (* (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a)))) (sqrt b)) (/ (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (sqrt b)) (/ (* (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a)))) 1) (/ (cbrt (/ (/ (/ PI 2) (+ a b)) (- b a))) b) (/ (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (* (cbrt b) (cbrt b))) (/ (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (cbrt b)) (/ (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (sqrt b)) (/ (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) (sqrt b)) (/ (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) 1) (/ (sqrt (/ (/ (/ PI 2) (+ a b)) (- b a))) b) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt b) (cbrt b))) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (cbrt b)) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt b)) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) (sqrt b)) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (* (cbrt (- b a)) (cbrt (- b a)))) 1) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (cbrt (- b a))) b) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (sqrt (- b a))) (* (cbrt b) (cbrt b))) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) (cbrt b)) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (sqrt (- b a))) (sqrt b)) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) (sqrt b)) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (sqrt (- b a))) 1) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (sqrt (- b a))) b) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) 1) (* (cbrt b) (cbrt b))) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (- b a)) (cbrt b)) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) 1) (sqrt b)) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (- b a)) (sqrt b)) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) 1) 1) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (- b a)) b) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (+ (sqrt b) (sqrt a))) (* (cbrt b) (cbrt b))) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (- (sqrt b) (sqrt a))) (cbrt b)) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (+ (sqrt b) (sqrt a))) (sqrt b)) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (- (sqrt b) (sqrt a))) (sqrt b)) (/ (/ (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (+ (sqrt b) (sqrt a))) 1) (/ (/ (cbrt (/ (/ PI 2) (+ a b))) (- (sqrt b) (sqrt 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[simplify]: Extracting #0: cost 2423 inf + 0 3.445 * * [simplify]: Extracting #1: cost 2826 inf + 1 3.456 * * [simplify]: Extracting #2: cost 2840 inf + 601 3.466 * * [simplify]: Extracting #3: cost 2743 inf + 19321 3.516 * * [simplify]: Extracting #4: cost 1809 inf + 358039 3.638 * * [simplify]: Extracting #5: cost 480 inf + 934965 3.779 * * [simplify]: Extracting #6: cost 20 inf + 1157941 3.947 * * [simplify]: Extracting #7: cost 0 inf + 1167342 4.151 * [simplify]: Simplified to: (expm1 (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (log1p (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (- (- (- (- (log PI) (log 2)) (log (+ a b))) (log (- b a))) (log b)) (- (- (- (log (/ PI 2)) (log (+ a b))) (log (- b a))) (log b)) (- (- (log (/ (/ PI 2) (+ a b))) (log (- b a))) (log b)) (- (log (/ (/ (/ PI 2) (+ a b)) (- b a))) (log b)) (log (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (exp (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) b)) (/ (/ (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (* (- b 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b)))) (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (/ (/ (sqrt PI) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) 2) (cbrt (+ a b))) (/ (/ (sqrt PI) 1) (sqrt (+ a b))) (/ (/ (sqrt PI) 2) (sqrt (+ a b))) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2) (+ a b)) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2) (+ a b)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (cbrt 2)) (cbrt (+ a b))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ PI (cbrt 2)) (sqrt (+ a b))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ PI (cbrt 2)) (+ a b)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ PI (cbrt 2)) (+ a b)) (/ (/ 1 (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (sqrt 2)) (cbrt (+ a b))) (/ (/ 1 (sqrt 2)) (sqrt (+ a b))) (/ (/ PI (sqrt 2)) (sqrt (+ a b))) (/ (/ 1 (sqrt 2)) 1) (/ (/ PI (sqrt 2)) (+ a b)) (/ (/ 1 (sqrt 2)) 1) (/ (/ PI (sqrt 2)) (+ a b)) (/ (/ 1 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b))) (/ (/ 1 1) (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b))) (/ (/ 1 1) 1) (/ (/ PI 2) (+ a b)) (/ (/ 1 1) 1) (/ (/ PI 2) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b))) (/ 1 1) (/ (/ PI 2) (+ a b)) (/ 1 1) (/ (/ PI 2) (+ a b)) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b))) (/ PI (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b))) (/ PI 1) (/ (/ 1 2) (+ a b)) (/ PI 1) (/ (/ 1 2) (+ a b)) (/ 1 (+ a b)) (/ (+ a b) (/ PI 2)) (/ (/ PI 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (sqrt (+ a b))) (/ (/ PI 2) 1) (/ (/ PI 2) 1) (/ (+ a b) (cbrt (/ PI 2))) (/ (+ a b) (sqrt (/ PI 2))) (/ (+ a b) (/ (cbrt PI) (cbrt 2))) (/ (+ a b) (/ (cbrt PI) (sqrt 2))) (/ (+ a b) (/ (cbrt PI) 2)) (/ (+ a b) (/ (sqrt PI) (cbrt 2))) (/ (+ a b) (/ (sqrt PI) (sqrt 2))) (/ (+ a b) (/ (sqrt PI) 2)) (/ (+ a b) (/ PI (cbrt 2))) (/ (+ a b) (/ PI (sqrt 2))) (/ (+ a b) (/ PI 2)) (/ (+ a b) (/ PI 2)) (/ (+ a b) (/ 1 2)) (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- (* a a) (* b b))) (* (+ a b) 2) (real->posit16 (/ (/ PI 2) (+ a b))) (expm1 (/ (/ PI 2) (+ a b))) (log1p (/ (/ PI 2) (+ a b))) (- (- (log PI) (log 2)) (log (+ a b))) (- (log (/ PI 2)) (log (+ a b))) (log (/ (/ PI 2) (+ a b))) (exp (/ (/ PI 2) (+ a b))) (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (cbrt (/ (/ PI 2) (+ a b))) (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (- (/ PI 2)) (- (+ a b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) (+ a b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) (+ a b)) (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) (+ a b)) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) (cbrt 2)) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ (cbrt PI) (cbrt 2)) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (sqrt (+ a b))) (/ (/ (cbrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) 1) (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) 1) (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) 2) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) 1) (sqrt (+ a b))) (/ (/ (cbrt PI) 2) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) 1) 1) (/ (/ (cbrt PI) 2) (+ a b)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) (cbrt 2)) (cbrt (+ a b))) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ (sqrt PI) (cbrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (/ (/ (sqrt PI) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (/ (/ (sqrt PI) (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (/ (/ (sqrt PI) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) 2) (cbrt (+ a b))) (/ (/ (sqrt PI) 1) (sqrt (+ a b))) (/ (/ (sqrt PI) 2) (sqrt (+ a b))) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2) (+ a b)) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2) (+ a b)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (cbrt 2)) (cbrt (+ a b))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ PI (cbrt 2)) (sqrt (+ a b))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ PI (cbrt 2)) (+ a b)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ PI (cbrt 2)) (+ a b)) (/ (/ 1 (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (sqrt 2)) (cbrt (+ a b))) (/ (/ 1 (sqrt 2)) (sqrt (+ a b))) (/ (/ PI (sqrt 2)) (sqrt (+ a b))) (/ (/ 1 (sqrt 2)) 1) (/ (/ PI (sqrt 2)) (+ a b)) (/ (/ 1 (sqrt 2)) 1) (/ (/ PI (sqrt 2)) (+ a b)) (/ (/ 1 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b))) (/ (/ 1 1) (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b))) (/ (/ 1 1) 1) (/ (/ PI 2) (+ a b)) (/ (/ 1 1) 1) (/ (/ PI 2) (+ a b)) (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b))) (/ 1 (sqrt (+ a b))) (/ (/ PI 2) (sqrt (+ a b))) (/ 1 1) (/ (/ PI 2) (+ a b)) (/ 1 1) (/ (/ PI 2) (+ a b)) (/ PI (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ 1 2) (cbrt (+ a b))) (/ PI (sqrt (+ a b))) (/ (/ 1 2) (sqrt (+ a b))) (/ PI 1) (/ (/ 1 2) (+ a b)) (/ PI 1) (/ (/ 1 2) (+ a b)) (/ 1 (+ a b)) (/ (+ a b) (/ PI 2)) (/ (/ PI 2) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (sqrt (+ a b))) (/ (/ PI 2) 1) (/ (/ PI 2) 1) (/ (+ a b) (cbrt (/ PI 2))) (/ (+ a b) (sqrt (/ PI 2))) (/ (+ a b) (/ (cbrt PI) (cbrt 2))) (/ (+ a b) (/ (cbrt PI) (sqrt 2))) (/ (+ a b) (/ (cbrt PI) 2)) (/ (+ a b) (/ (sqrt PI) (cbrt 2))) (/ (+ a b) (/ (sqrt PI) (sqrt 2))) (/ (+ a b) (/ (sqrt PI) 2)) (/ (+ a b) (/ PI (cbrt 2))) (/ (+ a b) (/ PI (sqrt 2))) (/ (+ a b) (/ PI 2)) (/ (+ a b) (/ PI 2)) (/ (+ a b) (/ 1 2)) (/ (/ PI 2) (+ (pow a 3) (pow b 3))) (/ (/ PI 2) (- (* a a) (* b b))) (* (+ a b) 2) (real->posit16 (/ (/ PI 2) (+ a b))) 0 0 0 0 0 0 0 0 0 0 0 0 4.949 * * * [progress]: adding candidates to table 43.420 * * [progress]: iteration 2 / 4 43.420 * * * [progress]: picking best candidate 43.485 * * * * [pick]: Picked # 43.485 * * * [progress]: localizing error 43.546 * * * [progress]: generating rewritten candidates 43.546 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1) 43.619 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 43.643 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1) 43.667 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 44.186 * * * [progress]: generating series expansions 44.186 * * * * [progress]: [ 1 / 4 ] generating series at (2 1) 44.187 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a) into (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) 44.187 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in (a b) around 0 44.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in b 44.187 * [taylor]: Taking taylor expansion of 1/2 in b 44.187 * [backup-simplify]: Simplify 1/2 into 1/2 44.187 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in b 44.187 * [taylor]: Taking taylor expansion of PI in b 44.187 * [backup-simplify]: Simplify PI into PI 44.187 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in b 44.187 * [taylor]: Taking taylor expansion of a in b 44.187 * [backup-simplify]: Simplify a into a 44.187 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 44.187 * [taylor]: Taking taylor expansion of (+ a b) in b 44.187 * [taylor]: Taking taylor expansion of a in b 44.187 * [backup-simplify]: Simplify a into a 44.187 * [taylor]: Taking taylor expansion of b in b 44.187 * [backup-simplify]: Simplify 0 into 0 44.187 * [backup-simplify]: Simplify 1 into 1 44.187 * [taylor]: Taking taylor expansion of (- b a) in b 44.187 * [taylor]: Taking taylor expansion of b in b 44.187 * [backup-simplify]: Simplify 0 into 0 44.187 * [backup-simplify]: Simplify 1 into 1 44.187 * [taylor]: Taking taylor expansion of a in b 44.187 * [backup-simplify]: Simplify a into a 44.187 * [backup-simplify]: Simplify (+ a 0) into a 44.187 * [backup-simplify]: Simplify (- a) into (- a) 44.187 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 44.188 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 44.188 * [backup-simplify]: Simplify (* a (* -1 (pow a 2))) into (* -1 (pow a 3)) 44.188 * [backup-simplify]: Simplify (/ PI (* -1 (pow a 3))) into (* -1 (/ PI (pow a 3))) 44.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in a 44.188 * [taylor]: Taking taylor expansion of 1/2 in a 44.188 * [backup-simplify]: Simplify 1/2 into 1/2 44.188 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in a 44.188 * [taylor]: Taking taylor expansion of PI in a 44.188 * [backup-simplify]: Simplify PI into PI 44.188 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in a 44.188 * [taylor]: Taking taylor expansion of a in a 44.188 * [backup-simplify]: Simplify 0 into 0 44.188 * [backup-simplify]: Simplify 1 into 1 44.188 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 44.188 * [taylor]: Taking taylor expansion of (+ a b) in a 44.188 * [taylor]: Taking taylor expansion of a in a 44.188 * [backup-simplify]: Simplify 0 into 0 44.188 * [backup-simplify]: Simplify 1 into 1 44.188 * [taylor]: Taking taylor expansion of b in a 44.188 * [backup-simplify]: Simplify b into b 44.188 * [taylor]: Taking taylor expansion of (- b a) in a 44.188 * [taylor]: Taking taylor expansion of b in a 44.188 * [backup-simplify]: Simplify b into b 44.188 * [taylor]: Taking taylor expansion of a in a 44.188 * [backup-simplify]: Simplify 0 into 0 44.188 * [backup-simplify]: Simplify 1 into 1 44.188 * [backup-simplify]: Simplify (+ 0 b) into b 44.188 * [backup-simplify]: Simplify (- 0) into 0 44.188 * [backup-simplify]: Simplify (+ b 0) into b 44.189 * [backup-simplify]: Simplify (* b b) into (pow b 2) 44.189 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 44.189 * [backup-simplify]: Simplify (- 1) into -1 44.189 * [backup-simplify]: Simplify (+ 0 -1) into -1 44.189 * [backup-simplify]: Simplify (+ 1 0) into 1 44.189 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 44.190 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 2))) into (pow b 2) 44.190 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 44.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* a (* (+ a b) (- b a))))) in a 44.190 * [taylor]: Taking taylor expansion of 1/2 in a 44.190 * [backup-simplify]: Simplify 1/2 into 1/2 44.190 * [taylor]: Taking taylor expansion of (/ PI (* a (* (+ a b) (- b a)))) in a 44.190 * [taylor]: Taking taylor expansion of PI in a 44.190 * [backup-simplify]: Simplify PI into PI 44.190 * [taylor]: Taking taylor expansion of (* a (* (+ a b) (- b a))) in a 44.190 * [taylor]: Taking taylor expansion of a in a 44.190 * [backup-simplify]: Simplify 0 into 0 44.190 * [backup-simplify]: Simplify 1 into 1 44.190 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 44.190 * [taylor]: Taking taylor expansion of (+ a b) in a 44.190 * [taylor]: Taking taylor expansion of a in a 44.190 * [backup-simplify]: Simplify 0 into 0 44.190 * [backup-simplify]: Simplify 1 into 1 44.190 * [taylor]: Taking taylor expansion of b in a 44.190 * [backup-simplify]: Simplify b into b 44.190 * [taylor]: Taking taylor expansion of (- b a) in a 44.190 * [taylor]: Taking taylor expansion of b in a 44.190 * [backup-simplify]: Simplify b into b 44.190 * [taylor]: Taking taylor expansion of a in a 44.190 * [backup-simplify]: Simplify 0 into 0 44.190 * [backup-simplify]: Simplify 1 into 1 44.190 * [backup-simplify]: Simplify (+ 0 b) into b 44.190 * [backup-simplify]: Simplify (- 0) into 0 44.190 * [backup-simplify]: Simplify (+ b 0) into b 44.190 * [backup-simplify]: Simplify (* b b) into (pow b 2) 44.191 * [backup-simplify]: Simplify (* 0 (pow b 2)) into 0 44.191 * [backup-simplify]: Simplify (- 1) into -1 44.191 * [backup-simplify]: Simplify (+ 0 -1) into -1 44.191 * [backup-simplify]: Simplify (+ 1 0) into 1 44.191 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 44.192 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow b 2))) into (pow b 2) 44.192 * [backup-simplify]: Simplify (/ PI (pow b 2)) into (/ PI (pow b 2)) 44.192 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 2))) into (* 1/2 (/ PI (pow b 2))) 44.192 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.192 * [taylor]: Taking taylor expansion of 1/2 in b 44.192 * [backup-simplify]: Simplify 1/2 into 1/2 44.192 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.192 * [taylor]: Taking taylor expansion of PI in b 44.192 * [backup-simplify]: Simplify PI into PI 44.192 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.192 * [taylor]: Taking taylor expansion of b in b 44.192 * [backup-simplify]: Simplify 0 into 0 44.192 * [backup-simplify]: Simplify 1 into 1 44.192 * [backup-simplify]: Simplify (* 1 1) into 1 44.193 * [backup-simplify]: Simplify (/ PI 1) into PI 44.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.195 * [backup-simplify]: Simplify 0 into 0 44.196 * [backup-simplify]: Simplify (- 0) into 0 44.196 * [backup-simplify]: Simplify (+ 0 0) into 0 44.196 * [backup-simplify]: Simplify (+ 0 0) into 0 44.197 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 44.197 * [backup-simplify]: Simplify (+ (* 0 (- 1)) (+ (* 1 0) (* 0 (pow b 2)))) into 0 44.197 * [backup-simplify]: Simplify (- (/ 0 (pow b 2)) (+ (* (/ PI (pow b 2)) (/ 0 (pow b 2))))) into 0 44.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 2)))) into 0 44.198 * [taylor]: Taking taylor expansion of 0 in b 44.198 * [backup-simplify]: Simplify 0 into 0 44.198 * [backup-simplify]: Simplify 0 into 0 44.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.200 * [backup-simplify]: Simplify 0 into 0 44.200 * [backup-simplify]: Simplify (- 0) into 0 44.201 * [backup-simplify]: Simplify (+ 0 0) into 0 44.201 * [backup-simplify]: Simplify (+ 0 0) into 0 44.201 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 44.202 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into (- 1) 44.203 * [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)) 44.203 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 4))) (+ (* 0 0) (* 0 (/ PI (pow b 2))))) into (* 1/2 (/ PI (pow b 4))) 44.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b 44.203 * [taylor]: Taking taylor expansion of 1/2 in b 44.203 * [backup-simplify]: Simplify 1/2 into 1/2 44.203 * [taylor]: Taking taylor expansion of (/ PI (pow b 4)) in b 44.203 * [taylor]: Taking taylor expansion of PI in b 44.203 * [backup-simplify]: Simplify PI into PI 44.203 * [taylor]: Taking taylor expansion of (pow b 4) in b 44.203 * [taylor]: Taking taylor expansion of b in b 44.203 * [backup-simplify]: Simplify 0 into 0 44.203 * [backup-simplify]: Simplify 1 into 1 44.203 * [backup-simplify]: Simplify (* 1 1) into 1 44.204 * [backup-simplify]: Simplify (* 1 1) into 1 44.204 * [backup-simplify]: Simplify (/ PI 1) into PI 44.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 44.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 44.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.215 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.215 * [backup-simplify]: Simplify 0 into 0 44.215 * [backup-simplify]: Simplify 0 into 0 44.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 44.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.219 * [backup-simplify]: Simplify 0 into 0 44.219 * [backup-simplify]: Simplify 0 into 0 44.220 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) (- (/ 1 b) (/ 1 a))) (/ 1 a)) into (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 44.220 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 44.220 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 44.220 * [taylor]: Taking taylor expansion of 1/2 in b 44.220 * [backup-simplify]: Simplify 1/2 into 1/2 44.220 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 44.220 * [taylor]: Taking taylor expansion of (* PI a) in b 44.220 * [taylor]: Taking taylor expansion of PI in b 44.220 * [backup-simplify]: Simplify PI into PI 44.220 * [taylor]: Taking taylor expansion of a in b 44.220 * [backup-simplify]: Simplify a into a 44.220 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 44.220 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.220 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.220 * [taylor]: Taking taylor expansion of a in b 44.220 * [backup-simplify]: Simplify a into a 44.221 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.221 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.221 * [taylor]: Taking taylor expansion of b in b 44.221 * [backup-simplify]: Simplify 0 into 0 44.221 * [backup-simplify]: Simplify 1 into 1 44.221 * [backup-simplify]: Simplify (/ 1 1) into 1 44.221 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 44.221 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.221 * [taylor]: Taking taylor expansion of b in b 44.221 * [backup-simplify]: Simplify 0 into 0 44.221 * [backup-simplify]: Simplify 1 into 1 44.222 * [backup-simplify]: Simplify (/ 1 1) into 1 44.222 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.222 * [taylor]: Taking taylor expansion of a in b 44.222 * [backup-simplify]: Simplify a into a 44.222 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.222 * [backup-simplify]: Simplify (* PI a) into (* a PI) 44.222 * [backup-simplify]: Simplify (+ 0 1) into 1 44.223 * [backup-simplify]: Simplify (+ 1 0) into 1 44.223 * [backup-simplify]: Simplify (* 1 1) into 1 44.223 * [backup-simplify]: Simplify (/ (* a PI) 1) into (* a PI) 44.223 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 44.223 * [taylor]: Taking taylor expansion of 1/2 in a 44.223 * [backup-simplify]: Simplify 1/2 into 1/2 44.223 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 44.223 * [taylor]: Taking taylor expansion of (* PI a) in a 44.223 * [taylor]: Taking taylor expansion of PI in a 44.223 * [backup-simplify]: Simplify PI into PI 44.223 * [taylor]: Taking taylor expansion of a in a 44.223 * [backup-simplify]: Simplify 0 into 0 44.223 * [backup-simplify]: Simplify 1 into 1 44.223 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 44.223 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.223 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.223 * [taylor]: Taking taylor expansion of a in a 44.223 * [backup-simplify]: Simplify 0 into 0 44.223 * [backup-simplify]: Simplify 1 into 1 44.224 * [backup-simplify]: Simplify (/ 1 1) into 1 44.224 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.224 * [taylor]: Taking taylor expansion of b in a 44.224 * [backup-simplify]: Simplify b into b 44.224 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.224 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 44.224 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.224 * [taylor]: Taking taylor expansion of b in a 44.224 * [backup-simplify]: Simplify b into b 44.224 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.224 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.224 * [taylor]: Taking taylor expansion of a in a 44.224 * [backup-simplify]: Simplify 0 into 0 44.224 * [backup-simplify]: Simplify 1 into 1 44.225 * [backup-simplify]: Simplify (/ 1 1) into 1 44.225 * [backup-simplify]: Simplify (* PI 0) into 0 44.227 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 44.227 * [backup-simplify]: Simplify (+ 1 0) into 1 44.228 * [backup-simplify]: Simplify (- 1) into -1 44.228 * [backup-simplify]: Simplify (+ 0 -1) into -1 44.229 * [backup-simplify]: Simplify (* 1 -1) into -1 44.229 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 44.229 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 44.229 * [taylor]: Taking taylor expansion of 1/2 in a 44.229 * [backup-simplify]: Simplify 1/2 into 1/2 44.229 * [taylor]: Taking taylor expansion of (/ (* PI a) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 44.229 * [taylor]: Taking taylor expansion of (* PI a) in a 44.229 * [taylor]: Taking taylor expansion of PI in a 44.229 * [backup-simplify]: Simplify PI into PI 44.229 * [taylor]: Taking taylor expansion of a in a 44.229 * [backup-simplify]: Simplify 0 into 0 44.229 * [backup-simplify]: Simplify 1 into 1 44.229 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 44.230 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.230 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.230 * [taylor]: Taking taylor expansion of a in a 44.230 * [backup-simplify]: Simplify 0 into 0 44.230 * [backup-simplify]: Simplify 1 into 1 44.230 * [backup-simplify]: Simplify (/ 1 1) into 1 44.230 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.230 * [taylor]: Taking taylor expansion of b in a 44.230 * [backup-simplify]: Simplify b into b 44.230 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.230 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 44.230 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.230 * [taylor]: Taking taylor expansion of b in a 44.230 * [backup-simplify]: Simplify b into b 44.230 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.230 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.230 * [taylor]: Taking taylor expansion of a in a 44.230 * [backup-simplify]: Simplify 0 into 0 44.230 * [backup-simplify]: Simplify 1 into 1 44.231 * [backup-simplify]: Simplify (/ 1 1) into 1 44.231 * [backup-simplify]: Simplify (* PI 0) into 0 44.233 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 44.233 * [backup-simplify]: Simplify (+ 1 0) into 1 44.234 * [backup-simplify]: Simplify (- 1) into -1 44.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 44.235 * [backup-simplify]: Simplify (* 1 -1) into -1 44.235 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 44.236 * [backup-simplify]: Simplify (* 1/2 (* -1 PI)) into (* -1/2 PI) 44.236 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 44.236 * [taylor]: Taking taylor expansion of -1/2 in b 44.236 * [backup-simplify]: Simplify -1/2 into -1/2 44.236 * [taylor]: Taking taylor expansion of PI in b 44.236 * [backup-simplify]: Simplify PI into PI 44.237 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.237 * [backup-simplify]: Simplify 0 into 0 44.239 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 44.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.240 * [backup-simplify]: Simplify (- 0) into 0 44.240 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 44.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.241 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.241 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 44.242 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 44.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 PI))) into 0 44.243 * [taylor]: Taking taylor expansion of 0 in b 44.243 * [backup-simplify]: Simplify 0 into 0 44.243 * [backup-simplify]: Simplify 0 into 0 44.244 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.244 * [backup-simplify]: Simplify 0 into 0 44.245 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 44.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.247 * [backup-simplify]: Simplify (- 0) into 0 44.247 * [backup-simplify]: Simplify (+ 0 0) into 0 44.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.248 * [backup-simplify]: Simplify (+ 0 0) into 0 44.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 44.250 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI (pow b 2))) 44.251 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (+ (* 0 0) (* 0 (* -1 PI)))) into (- (* 1/2 (/ PI (pow b 2)))) 44.251 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 44.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.251 * [taylor]: Taking taylor expansion of 1/2 in b 44.251 * [backup-simplify]: Simplify 1/2 into 1/2 44.251 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.251 * [taylor]: Taking taylor expansion of PI in b 44.251 * [backup-simplify]: Simplify PI into PI 44.251 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.251 * [taylor]: Taking taylor expansion of b in b 44.251 * [backup-simplify]: Simplify 0 into 0 44.251 * [backup-simplify]: Simplify 1 into 1 44.251 * [backup-simplify]: Simplify (* 1 1) into 1 44.251 * [backup-simplify]: Simplify (/ PI 1) into PI 44.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 44.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.253 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.257 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.257 * [backup-simplify]: Simplify (- 0) into 0 44.257 * [backup-simplify]: Simplify 0 into 0 44.257 * [backup-simplify]: Simplify 0 into 0 44.258 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.258 * [backup-simplify]: Simplify 0 into 0 44.258 * [backup-simplify]: Simplify 0 into 0 44.258 * [backup-simplify]: Simplify (/ (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) (- (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (- a))) into (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 44.258 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 44.259 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 44.259 * [taylor]: Taking taylor expansion of 1/2 in b 44.259 * [backup-simplify]: Simplify 1/2 into 1/2 44.259 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 44.259 * [taylor]: Taking taylor expansion of (* a PI) in b 44.259 * [taylor]: Taking taylor expansion of a in b 44.259 * [backup-simplify]: Simplify a into a 44.259 * [taylor]: Taking taylor expansion of PI in b 44.259 * [backup-simplify]: Simplify PI into PI 44.259 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 44.259 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.259 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.259 * [taylor]: Taking taylor expansion of a in b 44.259 * [backup-simplify]: Simplify a into a 44.259 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.259 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.259 * [taylor]: Taking taylor expansion of b in b 44.259 * [backup-simplify]: Simplify 0 into 0 44.259 * [backup-simplify]: Simplify 1 into 1 44.259 * [backup-simplify]: Simplify (/ 1 1) into 1 44.259 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 44.259 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.259 * [taylor]: Taking taylor expansion of a in b 44.259 * [backup-simplify]: Simplify a into a 44.259 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.259 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.259 * [taylor]: Taking taylor expansion of b in b 44.259 * [backup-simplify]: Simplify 0 into 0 44.259 * [backup-simplify]: Simplify 1 into 1 44.259 * [backup-simplify]: Simplify (/ 1 1) into 1 44.260 * [backup-simplify]: Simplify (* a PI) into (* a PI) 44.260 * [backup-simplify]: Simplify (+ 0 1) into 1 44.260 * [backup-simplify]: Simplify (- 1) into -1 44.260 * [backup-simplify]: Simplify (+ 0 -1) into -1 44.261 * [backup-simplify]: Simplify (* 1 -1) into -1 44.261 * [backup-simplify]: Simplify (/ (* a PI) -1) into (* -1 (* a PI)) 44.261 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 44.261 * [taylor]: Taking taylor expansion of 1/2 in a 44.261 * [backup-simplify]: Simplify 1/2 into 1/2 44.261 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 44.261 * [taylor]: Taking taylor expansion of (* a PI) in a 44.261 * [taylor]: Taking taylor expansion of a in a 44.261 * [backup-simplify]: Simplify 0 into 0 44.261 * [backup-simplify]: Simplify 1 into 1 44.261 * [taylor]: Taking taylor expansion of PI in a 44.261 * [backup-simplify]: Simplify PI into PI 44.261 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 44.261 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.261 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.261 * [taylor]: Taking taylor expansion of a in a 44.261 * [backup-simplify]: Simplify 0 into 0 44.261 * [backup-simplify]: Simplify 1 into 1 44.261 * [backup-simplify]: Simplify (/ 1 1) into 1 44.261 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.261 * [taylor]: Taking taylor expansion of b in a 44.261 * [backup-simplify]: Simplify b into b 44.261 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.261 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 44.261 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.261 * [taylor]: Taking taylor expansion of a in a 44.261 * [backup-simplify]: Simplify 0 into 0 44.261 * [backup-simplify]: Simplify 1 into 1 44.262 * [backup-simplify]: Simplify (/ 1 1) into 1 44.262 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.262 * [taylor]: Taking taylor expansion of b in a 44.262 * [backup-simplify]: Simplify b into b 44.262 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.262 * [backup-simplify]: Simplify (* 0 PI) into 0 44.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.263 * [backup-simplify]: Simplify (+ 1 0) into 1 44.263 * [backup-simplify]: Simplify (+ 1 0) into 1 44.264 * [backup-simplify]: Simplify (* 1 1) into 1 44.264 * [backup-simplify]: Simplify (/ PI 1) into PI 44.264 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 44.264 * [taylor]: Taking taylor expansion of 1/2 in a 44.264 * [backup-simplify]: Simplify 1/2 into 1/2 44.264 * [taylor]: Taking taylor expansion of (/ (* a PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 44.264 * [taylor]: Taking taylor expansion of (* a PI) in a 44.264 * [taylor]: Taking taylor expansion of a in a 44.264 * [backup-simplify]: Simplify 0 into 0 44.264 * [backup-simplify]: Simplify 1 into 1 44.264 * [taylor]: Taking taylor expansion of PI in a 44.264 * [backup-simplify]: Simplify PI into PI 44.264 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 44.264 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.264 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.264 * [taylor]: Taking taylor expansion of a in a 44.264 * [backup-simplify]: Simplify 0 into 0 44.264 * [backup-simplify]: Simplify 1 into 1 44.265 * [backup-simplify]: Simplify (/ 1 1) into 1 44.265 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.265 * [taylor]: Taking taylor expansion of b in a 44.265 * [backup-simplify]: Simplify b into b 44.265 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.265 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 44.265 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.265 * [taylor]: Taking taylor expansion of a in a 44.265 * [backup-simplify]: Simplify 0 into 0 44.265 * [backup-simplify]: Simplify 1 into 1 44.265 * [backup-simplify]: Simplify (/ 1 1) into 1 44.265 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.265 * [taylor]: Taking taylor expansion of b in a 44.265 * [backup-simplify]: Simplify b into b 44.265 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.265 * [backup-simplify]: Simplify (* 0 PI) into 0 44.267 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.267 * [backup-simplify]: Simplify (+ 1 0) into 1 44.267 * [backup-simplify]: Simplify (+ 1 0) into 1 44.267 * [backup-simplify]: Simplify (* 1 1) into 1 44.268 * [backup-simplify]: Simplify (/ PI 1) into PI 44.268 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 44.269 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 44.269 * [taylor]: Taking taylor expansion of 1/2 in b 44.269 * [backup-simplify]: Simplify 1/2 into 1/2 44.269 * [taylor]: Taking taylor expansion of PI in b 44.269 * [backup-simplify]: Simplify PI into PI 44.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.270 * [backup-simplify]: Simplify 0 into 0 44.271 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 44.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.271 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 44.272 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 44.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.272 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.272 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 44.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.274 * [taylor]: Taking taylor expansion of 0 in b 44.274 * [backup-simplify]: Simplify 0 into 0 44.274 * [backup-simplify]: Simplify 0 into 0 44.275 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.275 * [backup-simplify]: Simplify 0 into 0 44.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 44.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.278 * [backup-simplify]: Simplify (- 0) into 0 44.278 * [backup-simplify]: Simplify (+ 0 0) into 0 44.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.280 * [backup-simplify]: Simplify (+ 0 0) into 0 44.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 44.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI (pow b 2)) 44.282 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 0) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 44.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.283 * [taylor]: Taking taylor expansion of 1/2 in b 44.283 * [backup-simplify]: Simplify 1/2 into 1/2 44.283 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.283 * [taylor]: Taking taylor expansion of PI in b 44.283 * [backup-simplify]: Simplify PI into PI 44.283 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.283 * [taylor]: Taking taylor expansion of b in b 44.283 * [backup-simplify]: Simplify 0 into 0 44.283 * [backup-simplify]: Simplify 1 into 1 44.283 * [backup-simplify]: Simplify (* 1 1) into 1 44.284 * [backup-simplify]: Simplify (/ PI 1) into PI 44.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 44.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.292 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.292 * [backup-simplify]: Simplify 0 into 0 44.292 * [backup-simplify]: Simplify 0 into 0 44.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.293 * [backup-simplify]: Simplify 0 into 0 44.293 * [backup-simplify]: Simplify 0 into 0 44.293 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 44.293 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 44.293 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 44.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 44.293 * [taylor]: Taking taylor expansion of 1/2 in b 44.294 * [backup-simplify]: Simplify 1/2 into 1/2 44.294 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 44.294 * [taylor]: Taking taylor expansion of PI in b 44.294 * [backup-simplify]: Simplify PI into PI 44.294 * [taylor]: Taking taylor expansion of (+ a b) in b 44.294 * [taylor]: Taking taylor expansion of a in b 44.294 * [backup-simplify]: Simplify a into a 44.294 * [taylor]: Taking taylor expansion of b in b 44.294 * [backup-simplify]: Simplify 0 into 0 44.294 * [backup-simplify]: Simplify 1 into 1 44.294 * [backup-simplify]: Simplify (+ a 0) into a 44.294 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 44.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 44.294 * [taylor]: Taking taylor expansion of 1/2 in a 44.294 * [backup-simplify]: Simplify 1/2 into 1/2 44.294 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 44.294 * [taylor]: Taking taylor expansion of PI in a 44.294 * [backup-simplify]: Simplify PI into PI 44.294 * [taylor]: Taking taylor expansion of (+ a b) in a 44.294 * [taylor]: Taking taylor expansion of a in a 44.294 * [backup-simplify]: Simplify 0 into 0 44.294 * [backup-simplify]: Simplify 1 into 1 44.294 * [taylor]: Taking taylor expansion of b in a 44.294 * [backup-simplify]: Simplify b into b 44.294 * [backup-simplify]: Simplify (+ 0 b) into b 44.294 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 44.294 * [taylor]: Taking taylor expansion of 1/2 in a 44.294 * [backup-simplify]: Simplify 1/2 into 1/2 44.294 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 44.294 * [taylor]: Taking taylor expansion of PI in a 44.294 * [backup-simplify]: Simplify PI into PI 44.294 * [taylor]: Taking taylor expansion of (+ a b) in a 44.294 * [taylor]: Taking taylor expansion of a in a 44.294 * [backup-simplify]: Simplify 0 into 0 44.294 * [backup-simplify]: Simplify 1 into 1 44.294 * [taylor]: Taking taylor expansion of b in a 44.294 * [backup-simplify]: Simplify b into b 44.294 * [backup-simplify]: Simplify (+ 0 b) into b 44.294 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.294 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 44.294 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.294 * [taylor]: Taking taylor expansion of 1/2 in b 44.294 * [backup-simplify]: Simplify 1/2 into 1/2 44.294 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.294 * [taylor]: Taking taylor expansion of PI in b 44.294 * [backup-simplify]: Simplify PI into PI 44.294 * [taylor]: Taking taylor expansion of b in b 44.294 * [backup-simplify]: Simplify 0 into 0 44.294 * [backup-simplify]: Simplify 1 into 1 44.295 * [backup-simplify]: Simplify (/ PI 1) into PI 44.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.296 * [backup-simplify]: Simplify 0 into 0 44.296 * [backup-simplify]: Simplify (+ 1 0) into 1 44.296 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 44.296 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 44.296 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 44.296 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.297 * [taylor]: Taking taylor expansion of 1/2 in b 44.297 * [backup-simplify]: Simplify 1/2 into 1/2 44.297 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.297 * [taylor]: Taking taylor expansion of PI in b 44.297 * [backup-simplify]: Simplify PI into PI 44.297 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.297 * [taylor]: Taking taylor expansion of b in b 44.297 * [backup-simplify]: Simplify 0 into 0 44.297 * [backup-simplify]: Simplify 1 into 1 44.297 * [backup-simplify]: Simplify (* 1 1) into 1 44.297 * [backup-simplify]: Simplify (/ PI 1) into PI 44.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.302 * [backup-simplify]: Simplify (- 0) into 0 44.303 * [backup-simplify]: Simplify 0 into 0 44.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.304 * [backup-simplify]: Simplify 0 into 0 44.304 * [backup-simplify]: Simplify (+ 0 0) into 0 44.304 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 44.304 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 44.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 44.305 * [taylor]: Taking taylor expansion of 1/2 in b 44.305 * [backup-simplify]: Simplify 1/2 into 1/2 44.305 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 44.305 * [taylor]: Taking taylor expansion of PI in b 44.305 * [backup-simplify]: Simplify PI into PI 44.305 * [taylor]: Taking taylor expansion of (pow b 3) in b 44.305 * [taylor]: Taking taylor expansion of b in b 44.305 * [backup-simplify]: Simplify 0 into 0 44.305 * [backup-simplify]: Simplify 1 into 1 44.305 * [backup-simplify]: Simplify (* 1 1) into 1 44.305 * [backup-simplify]: Simplify (* 1 1) into 1 44.305 * [backup-simplify]: Simplify (/ PI 1) into PI 44.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.311 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.311 * [backup-simplify]: Simplify 0 into 0 44.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.313 * [backup-simplify]: Simplify (- 0) into 0 44.313 * [backup-simplify]: Simplify 0 into 0 44.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.315 * [backup-simplify]: Simplify 0 into 0 44.315 * [backup-simplify]: Simplify 0 into 0 44.315 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 44.315 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 44.315 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 44.315 * [taylor]: Taking taylor expansion of 1/2 in b 44.315 * [backup-simplify]: Simplify 1/2 into 1/2 44.315 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 44.315 * [taylor]: Taking taylor expansion of PI in b 44.315 * [backup-simplify]: Simplify PI into PI 44.315 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.315 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.315 * [taylor]: Taking taylor expansion of a in b 44.315 * [backup-simplify]: Simplify a into a 44.315 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.315 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.315 * [taylor]: Taking taylor expansion of b in b 44.315 * [backup-simplify]: Simplify 0 into 0 44.315 * [backup-simplify]: Simplify 1 into 1 44.316 * [backup-simplify]: Simplify (/ 1 1) into 1 44.316 * [backup-simplify]: Simplify (+ 0 1) into 1 44.317 * [backup-simplify]: Simplify (/ PI 1) into PI 44.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.317 * [taylor]: Taking taylor expansion of 1/2 in a 44.317 * [backup-simplify]: Simplify 1/2 into 1/2 44.317 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.317 * [taylor]: Taking taylor expansion of PI in a 44.317 * [backup-simplify]: Simplify PI into PI 44.317 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.317 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.317 * [taylor]: Taking taylor expansion of a in a 44.317 * [backup-simplify]: Simplify 0 into 0 44.317 * [backup-simplify]: Simplify 1 into 1 44.317 * [backup-simplify]: Simplify (/ 1 1) into 1 44.317 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.317 * [taylor]: Taking taylor expansion of b in a 44.317 * [backup-simplify]: Simplify b into b 44.317 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.317 * [backup-simplify]: Simplify (+ 1 0) into 1 44.318 * [backup-simplify]: Simplify (/ PI 1) into PI 44.318 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.318 * [taylor]: Taking taylor expansion of 1/2 in a 44.318 * [backup-simplify]: Simplify 1/2 into 1/2 44.318 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.318 * [taylor]: Taking taylor expansion of PI in a 44.318 * [backup-simplify]: Simplify PI into PI 44.318 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.318 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.318 * [taylor]: Taking taylor expansion of a in a 44.318 * [backup-simplify]: Simplify 0 into 0 44.318 * [backup-simplify]: Simplify 1 into 1 44.318 * [backup-simplify]: Simplify (/ 1 1) into 1 44.318 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.318 * [taylor]: Taking taylor expansion of b in a 44.318 * [backup-simplify]: Simplify b into b 44.318 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.318 * [backup-simplify]: Simplify (+ 1 0) into 1 44.319 * [backup-simplify]: Simplify (/ PI 1) into PI 44.319 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 44.319 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 44.319 * [taylor]: Taking taylor expansion of 1/2 in b 44.319 * [backup-simplify]: Simplify 1/2 into 1/2 44.319 * [taylor]: Taking taylor expansion of PI in b 44.319 * [backup-simplify]: Simplify PI into PI 44.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.320 * [backup-simplify]: Simplify 0 into 0 44.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.321 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 44.322 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 44.322 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 44.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.322 * [taylor]: Taking taylor expansion of 1/2 in b 44.322 * [backup-simplify]: Simplify 1/2 into 1/2 44.322 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.322 * [taylor]: Taking taylor expansion of PI in b 44.322 * [backup-simplify]: Simplify PI into PI 44.322 * [taylor]: Taking taylor expansion of b in b 44.322 * [backup-simplify]: Simplify 0 into 0 44.322 * [backup-simplify]: Simplify 1 into 1 44.322 * [backup-simplify]: Simplify (/ PI 1) into PI 44.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.325 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.326 * [backup-simplify]: Simplify (- 0) into 0 44.326 * [backup-simplify]: Simplify 0 into 0 44.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.327 * [backup-simplify]: Simplify 0 into 0 44.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.328 * [backup-simplify]: Simplify (+ 0 0) into 0 44.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 44.330 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 44.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.330 * [taylor]: Taking taylor expansion of 1/2 in b 44.330 * [backup-simplify]: Simplify 1/2 into 1/2 44.330 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.330 * [taylor]: Taking taylor expansion of PI in b 44.330 * [backup-simplify]: Simplify PI into PI 44.330 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.330 * [taylor]: Taking taylor expansion of b in b 44.330 * [backup-simplify]: Simplify 0 into 0 44.330 * [backup-simplify]: Simplify 1 into 1 44.330 * [backup-simplify]: Simplify (* 1 1) into 1 44.331 * [backup-simplify]: Simplify (/ PI 1) into PI 44.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.333 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.337 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.337 * [backup-simplify]: Simplify 0 into 0 44.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.340 * [backup-simplify]: Simplify (- 0) into 0 44.340 * [backup-simplify]: Simplify 0 into 0 44.341 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.341 * [backup-simplify]: Simplify 0 into 0 44.341 * [backup-simplify]: Simplify 0 into 0 44.342 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 44.342 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 44.342 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 44.342 * [taylor]: Taking taylor expansion of -1/2 in b 44.342 * [backup-simplify]: Simplify -1/2 into -1/2 44.342 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 44.342 * [taylor]: Taking taylor expansion of PI in b 44.342 * [backup-simplify]: Simplify PI into PI 44.342 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.342 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.342 * [taylor]: Taking taylor expansion of a in b 44.342 * [backup-simplify]: Simplify a into a 44.342 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.342 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.342 * [taylor]: Taking taylor expansion of b in b 44.342 * [backup-simplify]: Simplify 0 into 0 44.342 * [backup-simplify]: Simplify 1 into 1 44.343 * [backup-simplify]: Simplify (/ 1 1) into 1 44.343 * [backup-simplify]: Simplify (+ 0 1) into 1 44.344 * [backup-simplify]: Simplify (/ PI 1) into PI 44.344 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.344 * [taylor]: Taking taylor expansion of -1/2 in a 44.344 * [backup-simplify]: Simplify -1/2 into -1/2 44.344 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.344 * [taylor]: Taking taylor expansion of PI in a 44.344 * [backup-simplify]: Simplify PI into PI 44.344 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.344 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.344 * [taylor]: Taking taylor expansion of a in a 44.344 * [backup-simplify]: Simplify 0 into 0 44.344 * [backup-simplify]: Simplify 1 into 1 44.344 * [backup-simplify]: Simplify (/ 1 1) into 1 44.344 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.344 * [taylor]: Taking taylor expansion of b in a 44.344 * [backup-simplify]: Simplify b into b 44.344 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.345 * [backup-simplify]: Simplify (+ 1 0) into 1 44.345 * [backup-simplify]: Simplify (/ PI 1) into PI 44.345 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.345 * [taylor]: Taking taylor expansion of -1/2 in a 44.345 * [backup-simplify]: Simplify -1/2 into -1/2 44.345 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.345 * [taylor]: Taking taylor expansion of PI in a 44.345 * [backup-simplify]: Simplify PI into PI 44.345 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.345 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.346 * [taylor]: Taking taylor expansion of a in a 44.346 * [backup-simplify]: Simplify 0 into 0 44.346 * [backup-simplify]: Simplify 1 into 1 44.346 * [backup-simplify]: Simplify (/ 1 1) into 1 44.346 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.346 * [taylor]: Taking taylor expansion of b in a 44.346 * [backup-simplify]: Simplify b into b 44.346 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.346 * [backup-simplify]: Simplify (+ 1 0) into 1 44.347 * [backup-simplify]: Simplify (/ PI 1) into PI 44.347 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 44.347 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 44.348 * [taylor]: Taking taylor expansion of -1/2 in b 44.348 * [backup-simplify]: Simplify -1/2 into -1/2 44.348 * [taylor]: Taking taylor expansion of PI in b 44.348 * [backup-simplify]: Simplify PI into PI 44.348 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 44.348 * [backup-simplify]: Simplify 0 into 0 44.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.349 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 44.350 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 44.350 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.350 * [taylor]: Taking taylor expansion of 1/2 in b 44.350 * [backup-simplify]: Simplify 1/2 into 1/2 44.350 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.350 * [taylor]: Taking taylor expansion of PI in b 44.350 * [backup-simplify]: Simplify PI into PI 44.350 * [taylor]: Taking taylor expansion of b in b 44.350 * [backup-simplify]: Simplify 0 into 0 44.350 * [backup-simplify]: Simplify 1 into 1 44.351 * [backup-simplify]: Simplify (/ PI 1) into PI 44.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.353 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.354 * [backup-simplify]: Simplify 0 into 0 44.355 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.355 * [backup-simplify]: Simplify 0 into 0 44.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.356 * [backup-simplify]: Simplify (+ 0 0) into 0 44.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 44.358 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 44.358 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 44.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.358 * [taylor]: Taking taylor expansion of 1/2 in b 44.358 * [backup-simplify]: Simplify 1/2 into 1/2 44.358 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.358 * [taylor]: Taking taylor expansion of PI in b 44.358 * [backup-simplify]: Simplify PI into PI 44.358 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.358 * [taylor]: Taking taylor expansion of b in b 44.358 * [backup-simplify]: Simplify 0 into 0 44.358 * [backup-simplify]: Simplify 1 into 1 44.359 * [backup-simplify]: Simplify (* 1 1) into 1 44.359 * [backup-simplify]: Simplify (/ PI 1) into PI 44.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.364 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.366 * [backup-simplify]: Simplify (- 0) into 0 44.366 * [backup-simplify]: Simplify 0 into 0 44.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.368 * [backup-simplify]: Simplify 0 into 0 44.369 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.370 * [backup-simplify]: Simplify 0 into 0 44.370 * [backup-simplify]: Simplify 0 into 0 44.370 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1) 44.370 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 44.370 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 44.370 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 44.370 * [taylor]: Taking taylor expansion of 1/2 in b 44.370 * [backup-simplify]: Simplify 1/2 into 1/2 44.370 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 44.370 * [taylor]: Taking taylor expansion of PI in b 44.370 * [backup-simplify]: Simplify PI into PI 44.370 * [taylor]: Taking taylor expansion of (+ a b) in b 44.370 * [taylor]: Taking taylor expansion of a in b 44.370 * [backup-simplify]: Simplify a into a 44.370 * [taylor]: Taking taylor expansion of b in b 44.371 * [backup-simplify]: Simplify 0 into 0 44.371 * [backup-simplify]: Simplify 1 into 1 44.371 * [backup-simplify]: Simplify (+ a 0) into a 44.371 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 44.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 44.371 * [taylor]: Taking taylor expansion of 1/2 in a 44.371 * [backup-simplify]: Simplify 1/2 into 1/2 44.371 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 44.371 * [taylor]: Taking taylor expansion of PI in a 44.371 * [backup-simplify]: Simplify PI into PI 44.371 * [taylor]: Taking taylor expansion of (+ a b) in a 44.371 * [taylor]: Taking taylor expansion of a in a 44.371 * [backup-simplify]: Simplify 0 into 0 44.371 * [backup-simplify]: Simplify 1 into 1 44.371 * [taylor]: Taking taylor expansion of b in a 44.371 * [backup-simplify]: Simplify b into b 44.371 * [backup-simplify]: Simplify (+ 0 b) into b 44.371 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.371 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 44.371 * [taylor]: Taking taylor expansion of 1/2 in a 44.371 * [backup-simplify]: Simplify 1/2 into 1/2 44.371 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 44.371 * [taylor]: Taking taylor expansion of PI in a 44.371 * [backup-simplify]: Simplify PI into PI 44.371 * [taylor]: Taking taylor expansion of (+ a b) in a 44.371 * [taylor]: Taking taylor expansion of a in a 44.371 * [backup-simplify]: Simplify 0 into 0 44.371 * [backup-simplify]: Simplify 1 into 1 44.371 * [taylor]: Taking taylor expansion of b in a 44.371 * [backup-simplify]: Simplify b into b 44.371 * [backup-simplify]: Simplify (+ 0 b) into b 44.371 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 44.372 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 44.372 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.372 * [taylor]: Taking taylor expansion of 1/2 in b 44.372 * [backup-simplify]: Simplify 1/2 into 1/2 44.372 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.372 * [taylor]: Taking taylor expansion of PI in b 44.372 * [backup-simplify]: Simplify PI into PI 44.372 * [taylor]: Taking taylor expansion of b in b 44.372 * [backup-simplify]: Simplify 0 into 0 44.372 * [backup-simplify]: Simplify 1 into 1 44.372 * [backup-simplify]: Simplify (/ PI 1) into PI 44.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.374 * [backup-simplify]: Simplify 0 into 0 44.374 * [backup-simplify]: Simplify (+ 1 0) into 1 44.375 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 44.375 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 44.375 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 44.375 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.375 * [taylor]: Taking taylor expansion of 1/2 in b 44.375 * [backup-simplify]: Simplify 1/2 into 1/2 44.375 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.375 * [taylor]: Taking taylor expansion of PI in b 44.375 * [backup-simplify]: Simplify PI into PI 44.375 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.375 * [taylor]: Taking taylor expansion of b in b 44.375 * [backup-simplify]: Simplify 0 into 0 44.375 * [backup-simplify]: Simplify 1 into 1 44.375 * [backup-simplify]: Simplify (* 1 1) into 1 44.376 * [backup-simplify]: Simplify (/ PI 1) into PI 44.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.381 * [backup-simplify]: Simplify (- 0) into 0 44.381 * [backup-simplify]: Simplify 0 into 0 44.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.383 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.383 * [backup-simplify]: Simplify 0 into 0 44.383 * [backup-simplify]: Simplify (+ 0 0) into 0 44.384 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 44.384 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 44.384 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 44.384 * [taylor]: Taking taylor expansion of 1/2 in b 44.384 * [backup-simplify]: Simplify 1/2 into 1/2 44.384 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 44.384 * [taylor]: Taking taylor expansion of PI in b 44.384 * [backup-simplify]: Simplify PI into PI 44.384 * [taylor]: Taking taylor expansion of (pow b 3) in b 44.384 * [taylor]: Taking taylor expansion of b in b 44.384 * [backup-simplify]: Simplify 0 into 0 44.384 * [backup-simplify]: Simplify 1 into 1 44.385 * [backup-simplify]: Simplify (* 1 1) into 1 44.385 * [backup-simplify]: Simplify (* 1 1) into 1 44.386 * [backup-simplify]: Simplify (/ PI 1) into PI 44.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.393 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.395 * [backup-simplify]: Simplify 0 into 0 44.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.398 * [backup-simplify]: Simplify (- 0) into 0 44.398 * [backup-simplify]: Simplify 0 into 0 44.399 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.400 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.400 * [backup-simplify]: Simplify 0 into 0 44.400 * [backup-simplify]: Simplify 0 into 0 44.401 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 44.401 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 44.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 44.401 * [taylor]: Taking taylor expansion of 1/2 in b 44.401 * [backup-simplify]: Simplify 1/2 into 1/2 44.401 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 44.401 * [taylor]: Taking taylor expansion of PI in b 44.401 * [backup-simplify]: Simplify PI into PI 44.401 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.401 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.401 * [taylor]: Taking taylor expansion of a in b 44.401 * [backup-simplify]: Simplify a into a 44.401 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.401 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.401 * [taylor]: Taking taylor expansion of b in b 44.401 * [backup-simplify]: Simplify 0 into 0 44.401 * [backup-simplify]: Simplify 1 into 1 44.402 * [backup-simplify]: Simplify (/ 1 1) into 1 44.402 * [backup-simplify]: Simplify (+ 0 1) into 1 44.403 * [backup-simplify]: Simplify (/ PI 1) into PI 44.403 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.403 * [taylor]: Taking taylor expansion of 1/2 in a 44.403 * [backup-simplify]: Simplify 1/2 into 1/2 44.403 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.403 * [taylor]: Taking taylor expansion of PI in a 44.403 * [backup-simplify]: Simplify PI into PI 44.403 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.403 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.403 * [taylor]: Taking taylor expansion of a in a 44.403 * [backup-simplify]: Simplify 0 into 0 44.403 * [backup-simplify]: Simplify 1 into 1 44.403 * [backup-simplify]: Simplify (/ 1 1) into 1 44.403 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.403 * [taylor]: Taking taylor expansion of b in a 44.403 * [backup-simplify]: Simplify b into b 44.404 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.404 * [backup-simplify]: Simplify (+ 1 0) into 1 44.404 * [backup-simplify]: Simplify (/ PI 1) into PI 44.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.404 * [taylor]: Taking taylor expansion of 1/2 in a 44.404 * [backup-simplify]: Simplify 1/2 into 1/2 44.404 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.405 * [taylor]: Taking taylor expansion of PI in a 44.405 * [backup-simplify]: Simplify PI into PI 44.405 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.405 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.405 * [taylor]: Taking taylor expansion of a in a 44.405 * [backup-simplify]: Simplify 0 into 0 44.405 * [backup-simplify]: Simplify 1 into 1 44.405 * [backup-simplify]: Simplify (/ 1 1) into 1 44.405 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.405 * [taylor]: Taking taylor expansion of b in a 44.405 * [backup-simplify]: Simplify b into b 44.405 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.406 * [backup-simplify]: Simplify (+ 1 0) into 1 44.406 * [backup-simplify]: Simplify (/ PI 1) into PI 44.407 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 44.407 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 44.407 * [taylor]: Taking taylor expansion of 1/2 in b 44.407 * [backup-simplify]: Simplify 1/2 into 1/2 44.407 * [taylor]: Taking taylor expansion of PI in b 44.407 * [backup-simplify]: Simplify PI into PI 44.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 44.407 * [backup-simplify]: Simplify 0 into 0 44.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.408 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 44.409 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 44.409 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 44.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.410 * [taylor]: Taking taylor expansion of 1/2 in b 44.410 * [backup-simplify]: Simplify 1/2 into 1/2 44.410 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.410 * [taylor]: Taking taylor expansion of PI in b 44.410 * [backup-simplify]: Simplify PI into PI 44.410 * [taylor]: Taking taylor expansion of b in b 44.410 * [backup-simplify]: Simplify 0 into 0 44.410 * [backup-simplify]: Simplify 1 into 1 44.410 * [backup-simplify]: Simplify (/ PI 1) into PI 44.411 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.413 * [backup-simplify]: Simplify (- 0) into 0 44.413 * [backup-simplify]: Simplify 0 into 0 44.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.414 * [backup-simplify]: Simplify 0 into 0 44.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.415 * [backup-simplify]: Simplify (+ 0 0) into 0 44.416 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 44.416 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 44.416 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.416 * [taylor]: Taking taylor expansion of 1/2 in b 44.416 * [backup-simplify]: Simplify 1/2 into 1/2 44.416 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.416 * [taylor]: Taking taylor expansion of PI in b 44.417 * [backup-simplify]: Simplify PI into PI 44.417 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.417 * [taylor]: Taking taylor expansion of b in b 44.417 * [backup-simplify]: Simplify 0 into 0 44.417 * [backup-simplify]: Simplify 1 into 1 44.417 * [backup-simplify]: Simplify (* 1 1) into 1 44.417 * [backup-simplify]: Simplify (/ PI 1) into PI 44.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.419 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.421 * [backup-simplify]: Simplify 0 into 0 44.422 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.423 * [backup-simplify]: Simplify (- 0) into 0 44.423 * [backup-simplify]: Simplify 0 into 0 44.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.424 * [backup-simplify]: Simplify 0 into 0 44.424 * [backup-simplify]: Simplify 0 into 0 44.427 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 44.427 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 44.427 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 44.427 * [taylor]: Taking taylor expansion of -1/2 in b 44.427 * [backup-simplify]: Simplify -1/2 into -1/2 44.427 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 44.427 * [taylor]: Taking taylor expansion of PI in b 44.427 * [backup-simplify]: Simplify PI into PI 44.427 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.427 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.427 * [taylor]: Taking taylor expansion of a in b 44.427 * [backup-simplify]: Simplify a into a 44.427 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.427 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.427 * [taylor]: Taking taylor expansion of b in b 44.427 * [backup-simplify]: Simplify 0 into 0 44.427 * [backup-simplify]: Simplify 1 into 1 44.428 * [backup-simplify]: Simplify (/ 1 1) into 1 44.428 * [backup-simplify]: Simplify (+ 0 1) into 1 44.429 * [backup-simplify]: Simplify (/ PI 1) into PI 44.429 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.429 * [taylor]: Taking taylor expansion of -1/2 in a 44.429 * [backup-simplify]: Simplify -1/2 into -1/2 44.429 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.429 * [taylor]: Taking taylor expansion of PI in a 44.429 * [backup-simplify]: Simplify PI into PI 44.429 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.429 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.429 * [taylor]: Taking taylor expansion of a in a 44.429 * [backup-simplify]: Simplify 0 into 0 44.429 * [backup-simplify]: Simplify 1 into 1 44.429 * [backup-simplify]: Simplify (/ 1 1) into 1 44.429 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.429 * [taylor]: Taking taylor expansion of b in a 44.429 * [backup-simplify]: Simplify b into b 44.429 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.430 * [backup-simplify]: Simplify (+ 1 0) into 1 44.430 * [backup-simplify]: Simplify (/ PI 1) into PI 44.430 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 44.430 * [taylor]: Taking taylor expansion of -1/2 in a 44.430 * [backup-simplify]: Simplify -1/2 into -1/2 44.430 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 44.430 * [taylor]: Taking taylor expansion of PI in a 44.430 * [backup-simplify]: Simplify PI into PI 44.430 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.430 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.430 * [taylor]: Taking taylor expansion of a in a 44.430 * [backup-simplify]: Simplify 0 into 0 44.431 * [backup-simplify]: Simplify 1 into 1 44.431 * [backup-simplify]: Simplify (/ 1 1) into 1 44.431 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.431 * [taylor]: Taking taylor expansion of b in a 44.431 * [backup-simplify]: Simplify b into b 44.431 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.431 * [backup-simplify]: Simplify (+ 1 0) into 1 44.432 * [backup-simplify]: Simplify (/ PI 1) into PI 44.432 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 44.432 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 44.432 * [taylor]: Taking taylor expansion of -1/2 in b 44.433 * [backup-simplify]: Simplify -1/2 into -1/2 44.433 * [taylor]: Taking taylor expansion of PI in b 44.433 * [backup-simplify]: Simplify PI into PI 44.433 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 44.433 * [backup-simplify]: Simplify 0 into 0 44.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.434 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 44.435 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 44.435 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.435 * [taylor]: Taking taylor expansion of 1/2 in b 44.435 * [backup-simplify]: Simplify 1/2 into 1/2 44.435 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.435 * [taylor]: Taking taylor expansion of PI in b 44.435 * [backup-simplify]: Simplify PI into PI 44.435 * [taylor]: Taking taylor expansion of b in b 44.435 * [backup-simplify]: Simplify 0 into 0 44.435 * [backup-simplify]: Simplify 1 into 1 44.436 * [backup-simplify]: Simplify (/ PI 1) into PI 44.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.438 * [backup-simplify]: Simplify 0 into 0 44.438 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.438 * [backup-simplify]: Simplify 0 into 0 44.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.439 * [backup-simplify]: Simplify (+ 0 0) into 0 44.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 44.440 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 44.441 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 44.441 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 44.441 * [taylor]: Taking taylor expansion of 1/2 in b 44.441 * [backup-simplify]: Simplify 1/2 into 1/2 44.441 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 44.441 * [taylor]: Taking taylor expansion of PI in b 44.441 * [backup-simplify]: Simplify PI into PI 44.441 * [taylor]: Taking taylor expansion of (pow b 2) in b 44.441 * [taylor]: Taking taylor expansion of b in b 44.441 * [backup-simplify]: Simplify 0 into 0 44.441 * [backup-simplify]: Simplify 1 into 1 44.441 * [backup-simplify]: Simplify (* 1 1) into 1 44.441 * [backup-simplify]: Simplify (/ PI 1) into PI 44.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.443 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.446 * [backup-simplify]: Simplify (- 0) into 0 44.446 * [backup-simplify]: Simplify 0 into 0 44.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.447 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.447 * [backup-simplify]: Simplify 0 into 0 44.448 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.448 * [backup-simplify]: Simplify 0 into 0 44.448 * [backup-simplify]: Simplify 0 into 0 44.448 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 44.448 * [backup-simplify]: Simplify (* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) into (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) 44.448 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in (a b) around 0 44.448 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in b 44.448 * [taylor]: Taking taylor expansion of 1/2 in b 44.448 * [backup-simplify]: Simplify 1/2 into 1/2 44.448 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in b 44.448 * [taylor]: Taking taylor expansion of PI in b 44.448 * [backup-simplify]: Simplify PI into PI 44.448 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in b 44.448 * [taylor]: Taking taylor expansion of b in b 44.448 * [backup-simplify]: Simplify 0 into 0 44.448 * [backup-simplify]: Simplify 1 into 1 44.448 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 44.448 * [taylor]: Taking taylor expansion of (+ a b) in b 44.448 * [taylor]: Taking taylor expansion of a in b 44.449 * [backup-simplify]: Simplify a into a 44.449 * [taylor]: Taking taylor expansion of b in b 44.449 * [backup-simplify]: Simplify 0 into 0 44.449 * [backup-simplify]: Simplify 1 into 1 44.449 * [taylor]: Taking taylor expansion of (- b a) in b 44.449 * [taylor]: Taking taylor expansion of b in b 44.449 * [backup-simplify]: Simplify 0 into 0 44.449 * [backup-simplify]: Simplify 1 into 1 44.449 * [taylor]: Taking taylor expansion of a in b 44.449 * [backup-simplify]: Simplify a into a 44.449 * [backup-simplify]: Simplify (+ a 0) into a 44.449 * [backup-simplify]: Simplify (- a) into (- a) 44.449 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 44.449 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 44.449 * [backup-simplify]: Simplify (* 0 (* -1 (pow a 2))) into 0 44.449 * [backup-simplify]: Simplify (- 0) into 0 44.449 * [backup-simplify]: Simplify (+ 1 0) into 1 44.450 * [backup-simplify]: Simplify (+ 0 1) into 1 44.450 * [backup-simplify]: Simplify (+ (* a 1) (* 1 (- a))) into 0 44.450 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* -1 (pow a 2)))) into (- (pow a 2)) 44.450 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 44.450 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 44.450 * [taylor]: Taking taylor expansion of 1/2 in a 44.450 * [backup-simplify]: Simplify 1/2 into 1/2 44.450 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 44.450 * [taylor]: Taking taylor expansion of PI in a 44.450 * [backup-simplify]: Simplify PI into PI 44.450 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 44.450 * [taylor]: Taking taylor expansion of b in a 44.450 * [backup-simplify]: Simplify b into b 44.450 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 44.450 * [taylor]: Taking taylor expansion of (+ a b) in a 44.450 * [taylor]: Taking taylor expansion of a in a 44.450 * [backup-simplify]: Simplify 0 into 0 44.450 * [backup-simplify]: Simplify 1 into 1 44.450 * [taylor]: Taking taylor expansion of b in a 44.450 * [backup-simplify]: Simplify b into b 44.450 * [taylor]: Taking taylor expansion of (- b a) in a 44.450 * [taylor]: Taking taylor expansion of b in a 44.450 * [backup-simplify]: Simplify b into b 44.450 * [taylor]: Taking taylor expansion of a in a 44.450 * [backup-simplify]: Simplify 0 into 0 44.450 * [backup-simplify]: Simplify 1 into 1 44.450 * [backup-simplify]: Simplify (+ 0 b) into b 44.451 * [backup-simplify]: Simplify (- 0) into 0 44.451 * [backup-simplify]: Simplify (+ b 0) into b 44.451 * [backup-simplify]: Simplify (* b b) into (pow b 2) 44.451 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 44.451 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 44.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 44.451 * [taylor]: Taking taylor expansion of 1/2 in a 44.451 * [backup-simplify]: Simplify 1/2 into 1/2 44.451 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 44.451 * [taylor]: Taking taylor expansion of PI in a 44.451 * [backup-simplify]: Simplify PI into PI 44.451 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 44.451 * [taylor]: Taking taylor expansion of b in a 44.451 * [backup-simplify]: Simplify b into b 44.451 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 44.451 * [taylor]: Taking taylor expansion of (+ a b) in a 44.451 * [taylor]: Taking taylor expansion of a in a 44.451 * [backup-simplify]: Simplify 0 into 0 44.451 * [backup-simplify]: Simplify 1 into 1 44.451 * [taylor]: Taking taylor expansion of b in a 44.451 * [backup-simplify]: Simplify b into b 44.451 * [taylor]: Taking taylor expansion of (- b a) in a 44.451 * [taylor]: Taking taylor expansion of b in a 44.451 * [backup-simplify]: Simplify b into b 44.451 * [taylor]: Taking taylor expansion of a in a 44.451 * [backup-simplify]: Simplify 0 into 0 44.451 * [backup-simplify]: Simplify 1 into 1 44.451 * [backup-simplify]: Simplify (+ 0 b) into b 44.452 * [backup-simplify]: Simplify (- 0) into 0 44.452 * [backup-simplify]: Simplify (+ b 0) into b 44.452 * [backup-simplify]: Simplify (* b b) into (pow b 2) 44.452 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 44.452 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 44.452 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 3))) into (* 1/2 (/ PI (pow b 3))) 44.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 44.452 * [taylor]: Taking taylor expansion of 1/2 in b 44.452 * [backup-simplify]: Simplify 1/2 into 1/2 44.452 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 44.452 * [taylor]: Taking taylor expansion of PI in b 44.452 * [backup-simplify]: Simplify PI into PI 44.452 * [taylor]: Taking taylor expansion of (pow b 3) in b 44.452 * [taylor]: Taking taylor expansion of b in b 44.452 * [backup-simplify]: Simplify 0 into 0 44.452 * [backup-simplify]: Simplify 1 into 1 44.452 * [backup-simplify]: Simplify (* 1 1) into 1 44.452 * [backup-simplify]: Simplify (* 1 1) into 1 44.453 * [backup-simplify]: Simplify (/ PI 1) into PI 44.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.456 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.456 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 44.456 * [backup-simplify]: Simplify 0 into 0 44.457 * [backup-simplify]: Simplify (- 1) into -1 44.457 * [backup-simplify]: Simplify (+ 0 -1) into -1 44.457 * [backup-simplify]: Simplify (+ 1 0) into 1 44.457 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 44.457 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0 44.458 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))))) into 0 44.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 3)))) into 0 44.458 * [taylor]: Taking taylor expansion of 0 in b 44.458 * [backup-simplify]: Simplify 0 into 0 44.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 44.461 * [backup-simplify]: Simplify 0 into 0 44.461 * [backup-simplify]: Simplify (- 0) into 0 44.461 * [backup-simplify]: Simplify (+ 0 0) into 0 44.461 * [backup-simplify]: Simplify (+ 0 0) into 0 44.462 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 44.462 * [backup-simplify]: Simplify (+ (* b (- 1)) (+ (* 0 0) (* 0 (pow b 2)))) into (- b) 44.462 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ (- b) (pow b 3))) (* 0 (/ 0 (pow b 3))))) into (/ PI (pow b 5)) 44.463 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3))))) into (* 1/2 (/ PI (pow b 5))) 44.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 5))) in b 44.463 * [taylor]: Taking taylor expansion of 1/2 in b 44.463 * [backup-simplify]: Simplify 1/2 into 1/2 44.463 * [taylor]: Taking taylor expansion of (/ PI (pow b 5)) in b 44.463 * [taylor]: Taking taylor expansion of PI in b 44.463 * [backup-simplify]: Simplify PI into PI 44.463 * [taylor]: Taking taylor expansion of (pow b 5) in b 44.463 * [taylor]: Taking taylor expansion of b in b 44.463 * [backup-simplify]: Simplify 0 into 0 44.463 * [backup-simplify]: Simplify 1 into 1 44.463 * [backup-simplify]: Simplify (* 1 1) into 1 44.463 * [backup-simplify]: Simplify (* 1 1) into 1 44.464 * [backup-simplify]: Simplify (* 1 1) into 1 44.464 * [backup-simplify]: Simplify (/ PI 1) into PI 44.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 44.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 44.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 44.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 44.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 44.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 44.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.476 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.476 * [backup-simplify]: Simplify 0 into 0 44.476 * [backup-simplify]: Simplify 0 into 0 44.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 44.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 44.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.481 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.481 * [backup-simplify]: Simplify 0 into 0 44.481 * [backup-simplify]: Simplify (- 0) into 0 44.482 * [backup-simplify]: Simplify (+ 0 0) into 0 44.482 * [backup-simplify]: Simplify (+ 0 0) into 0 44.483 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 44.484 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into 0 44.484 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ (- b) (pow b 3))) (* (/ PI (pow b 5)) (/ 0 (pow b 3))))) into 0 44.485 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3)))))) into 0 44.485 * [taylor]: Taking taylor expansion of 0 in b 44.485 * [backup-simplify]: Simplify 0 into 0 44.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 44.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 44.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 44.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 44.492 * [backup-simplify]: Simplify 0 into 0 44.492 * [backup-simplify]: Simplify 0 into 0 44.493 * [backup-simplify]: Simplify (* (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) 1) (/ (/ 1 (- (/ 1 b) (/ 1 a))) (/ 1 b))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 44.493 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 44.493 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 44.493 * [taylor]: Taking taylor expansion of 1/2 in b 44.493 * [backup-simplify]: Simplify 1/2 into 1/2 44.493 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 44.493 * [taylor]: Taking taylor expansion of (* b PI) in b 44.493 * [taylor]: Taking taylor expansion of b in b 44.493 * [backup-simplify]: Simplify 0 into 0 44.493 * [backup-simplify]: Simplify 1 into 1 44.493 * [taylor]: Taking taylor expansion of PI in b 44.493 * [backup-simplify]: Simplify PI into PI 44.493 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 44.493 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.493 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.493 * [taylor]: Taking taylor expansion of a in b 44.493 * [backup-simplify]: Simplify a into a 44.494 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.494 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.494 * [taylor]: Taking taylor expansion of b in b 44.494 * [backup-simplify]: Simplify 0 into 0 44.494 * [backup-simplify]: Simplify 1 into 1 44.494 * [backup-simplify]: Simplify (/ 1 1) into 1 44.494 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 44.494 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.494 * [taylor]: Taking taylor expansion of b in b 44.494 * [backup-simplify]: Simplify 0 into 0 44.494 * [backup-simplify]: Simplify 1 into 1 44.495 * [backup-simplify]: Simplify (/ 1 1) into 1 44.495 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.495 * [taylor]: Taking taylor expansion of a in b 44.495 * [backup-simplify]: Simplify a into a 44.495 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.495 * [backup-simplify]: Simplify (* 0 PI) into 0 44.497 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.497 * [backup-simplify]: Simplify (+ 0 1) into 1 44.498 * [backup-simplify]: Simplify (+ 1 0) into 1 44.498 * [backup-simplify]: Simplify (* 1 1) into 1 44.498 * [backup-simplify]: Simplify (/ PI 1) into PI 44.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 44.498 * [taylor]: Taking taylor expansion of 1/2 in a 44.499 * [backup-simplify]: Simplify 1/2 into 1/2 44.499 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 44.499 * [taylor]: Taking taylor expansion of (* b PI) in a 44.499 * [taylor]: Taking taylor expansion of b in a 44.499 * [backup-simplify]: Simplify b into b 44.499 * [taylor]: Taking taylor expansion of PI in a 44.499 * [backup-simplify]: Simplify PI into PI 44.499 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 44.499 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.499 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.499 * [taylor]: Taking taylor expansion of a in a 44.499 * [backup-simplify]: Simplify 0 into 0 44.499 * [backup-simplify]: Simplify 1 into 1 44.499 * [backup-simplify]: Simplify (/ 1 1) into 1 44.499 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.499 * [taylor]: Taking taylor expansion of b in a 44.499 * [backup-simplify]: Simplify b into b 44.499 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.499 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 44.499 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.499 * [taylor]: Taking taylor expansion of b in a 44.499 * [backup-simplify]: Simplify b into b 44.500 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.500 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.500 * [taylor]: Taking taylor expansion of a in a 44.500 * [backup-simplify]: Simplify 0 into 0 44.500 * [backup-simplify]: Simplify 1 into 1 44.500 * [backup-simplify]: Simplify (/ 1 1) into 1 44.500 * [backup-simplify]: Simplify (* b PI) into (* PI b) 44.501 * [backup-simplify]: Simplify (+ 1 0) into 1 44.501 * [backup-simplify]: Simplify (- 1) into -1 44.501 * [backup-simplify]: Simplify (+ 0 -1) into -1 44.502 * [backup-simplify]: Simplify (* 1 -1) into -1 44.502 * [backup-simplify]: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) 44.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 44.502 * [taylor]: Taking taylor expansion of 1/2 in a 44.502 * [backup-simplify]: Simplify 1/2 into 1/2 44.502 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 44.502 * [taylor]: Taking taylor expansion of (* b PI) in a 44.502 * [taylor]: Taking taylor expansion of b in a 44.502 * [backup-simplify]: Simplify b into b 44.502 * [taylor]: Taking taylor expansion of PI in a 44.502 * [backup-simplify]: Simplify PI into PI 44.502 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 44.502 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.502 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.502 * [taylor]: Taking taylor expansion of a in a 44.502 * [backup-simplify]: Simplify 0 into 0 44.502 * [backup-simplify]: Simplify 1 into 1 44.503 * [backup-simplify]: Simplify (/ 1 1) into 1 44.503 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.503 * [taylor]: Taking taylor expansion of b in a 44.503 * [backup-simplify]: Simplify b into b 44.503 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.503 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 44.503 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.503 * [taylor]: Taking taylor expansion of b in a 44.503 * [backup-simplify]: Simplify b into b 44.503 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.503 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.503 * [taylor]: Taking taylor expansion of a in a 44.503 * [backup-simplify]: Simplify 0 into 0 44.503 * [backup-simplify]: Simplify 1 into 1 44.503 * [backup-simplify]: Simplify (/ 1 1) into 1 44.503 * [backup-simplify]: Simplify (* b PI) into (* PI b) 44.504 * [backup-simplify]: Simplify (+ 1 0) into 1 44.504 * [backup-simplify]: Simplify (- 1) into -1 44.504 * [backup-simplify]: Simplify (+ 0 -1) into -1 44.504 * [backup-simplify]: Simplify (* 1 -1) into -1 44.504 * [backup-simplify]: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) 44.504 * [backup-simplify]: Simplify (* 1/2 (* -1 (* PI b))) into (* -1/2 (* b PI)) 44.505 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 44.505 * [taylor]: Taking taylor expansion of -1/2 in b 44.505 * [backup-simplify]: Simplify -1/2 into -1/2 44.505 * [taylor]: Taking taylor expansion of (* b PI) in b 44.505 * [taylor]: Taking taylor expansion of b in b 44.505 * [backup-simplify]: Simplify 0 into 0 44.505 * [backup-simplify]: Simplify 1 into 1 44.505 * [taylor]: Taking taylor expansion of PI in b 44.505 * [backup-simplify]: Simplify PI into PI 44.505 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 44.506 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 44.508 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.508 * [backup-simplify]: Simplify (* 0 PI) into 0 44.509 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 44.509 * [backup-simplify]: Simplify 0 into 0 44.509 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 44.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.510 * [backup-simplify]: Simplify (- 0) into 0 44.510 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 44.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.511 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.511 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 44.511 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI b)) (/ 0 -1)))) into 0 44.512 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* PI b)))) into 0 44.512 * [taylor]: Taking taylor expansion of 0 in b 44.512 * [backup-simplify]: Simplify 0 into 0 44.512 * [backup-simplify]: Simplify 0 into 0 44.513 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.513 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 44.513 * [backup-simplify]: Simplify 0 into 0 44.514 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 44.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.515 * [backup-simplify]: Simplify (- 0) into 0 44.515 * [backup-simplify]: Simplify (+ 0 0) into 0 44.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.516 * [backup-simplify]: Simplify (+ 0 0) into 0 44.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 44.517 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI b)) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI b)) 44.518 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (+ (* 0 0) (* 0 (* -1 (* PI b))))) into (- (* 1/2 (/ PI b))) 44.518 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 44.518 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.518 * [taylor]: Taking taylor expansion of 1/2 in b 44.518 * [backup-simplify]: Simplify 1/2 into 1/2 44.518 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.518 * [taylor]: Taking taylor expansion of PI in b 44.518 * [backup-simplify]: Simplify PI into PI 44.518 * [taylor]: Taking taylor expansion of b in b 44.518 * [backup-simplify]: Simplify 0 into 0 44.518 * [backup-simplify]: Simplify 1 into 1 44.518 * [backup-simplify]: Simplify (/ PI 1) into PI 44.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.519 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.521 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.522 * [backup-simplify]: Simplify (- 0) into 0 44.522 * [backup-simplify]: Simplify 0 into 0 44.522 * [backup-simplify]: Simplify 0 into 0 44.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 44.524 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 44.524 * [backup-simplify]: Simplify 0 into 0 44.524 * [backup-simplify]: Simplify 0 into 0 44.524 * [backup-simplify]: Simplify (* (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) 1) (/ (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (- b)))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 44.524 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 44.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 44.524 * [taylor]: Taking taylor expansion of 1/2 in b 44.524 * [backup-simplify]: Simplify 1/2 into 1/2 44.524 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 44.524 * [taylor]: Taking taylor expansion of (* b PI) in b 44.524 * [taylor]: Taking taylor expansion of b in b 44.524 * [backup-simplify]: Simplify 0 into 0 44.524 * [backup-simplify]: Simplify 1 into 1 44.524 * [taylor]: Taking taylor expansion of PI in b 44.524 * [backup-simplify]: Simplify PI into PI 44.524 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 44.524 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 44.524 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.524 * [taylor]: Taking taylor expansion of a in b 44.524 * [backup-simplify]: Simplify a into a 44.524 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.525 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.525 * [taylor]: Taking taylor expansion of b in b 44.525 * [backup-simplify]: Simplify 0 into 0 44.525 * [backup-simplify]: Simplify 1 into 1 44.525 * [backup-simplify]: Simplify (/ 1 1) into 1 44.525 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 44.525 * [taylor]: Taking taylor expansion of (/ 1 a) in b 44.525 * [taylor]: Taking taylor expansion of a in b 44.525 * [backup-simplify]: Simplify a into a 44.525 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 44.525 * [taylor]: Taking taylor expansion of (/ 1 b) in b 44.525 * [taylor]: Taking taylor expansion of b in b 44.525 * [backup-simplify]: Simplify 0 into 0 44.525 * [backup-simplify]: Simplify 1 into 1 44.525 * [backup-simplify]: Simplify (/ 1 1) into 1 44.526 * [backup-simplify]: Simplify (* 0 PI) into 0 44.526 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 44.527 * [backup-simplify]: Simplify (+ 0 1) into 1 44.527 * [backup-simplify]: Simplify (- 1) into -1 44.527 * [backup-simplify]: Simplify (+ 0 -1) into -1 44.528 * [backup-simplify]: Simplify (* 1 -1) into -1 44.528 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 44.528 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 44.528 * [taylor]: Taking taylor expansion of 1/2 in a 44.528 * [backup-simplify]: Simplify 1/2 into 1/2 44.528 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 44.528 * [taylor]: Taking taylor expansion of (* b PI) in a 44.528 * [taylor]: Taking taylor expansion of b in a 44.528 * [backup-simplify]: Simplify b into b 44.528 * [taylor]: Taking taylor expansion of PI in a 44.528 * [backup-simplify]: Simplify PI into PI 44.528 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 44.528 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.528 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.528 * [taylor]: Taking taylor expansion of a in a 44.528 * [backup-simplify]: Simplify 0 into 0 44.528 * [backup-simplify]: Simplify 1 into 1 44.528 * [backup-simplify]: Simplify (/ 1 1) into 1 44.528 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.528 * [taylor]: Taking taylor expansion of b in a 44.528 * [backup-simplify]: Simplify b into b 44.528 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.528 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 44.528 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.528 * [taylor]: Taking taylor expansion of a in a 44.529 * [backup-simplify]: Simplify 0 into 0 44.529 * [backup-simplify]: Simplify 1 into 1 44.529 * [backup-simplify]: Simplify (/ 1 1) into 1 44.529 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.529 * [taylor]: Taking taylor expansion of b in a 44.529 * [backup-simplify]: Simplify b into b 44.529 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.529 * [backup-simplify]: Simplify (* b PI) into (* PI b) 44.529 * [backup-simplify]: Simplify (+ 1 0) into 1 44.529 * [backup-simplify]: Simplify (+ 1 0) into 1 44.530 * [backup-simplify]: Simplify (* 1 1) into 1 44.530 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 44.530 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 44.530 * [taylor]: Taking taylor expansion of 1/2 in a 44.530 * [backup-simplify]: Simplify 1/2 into 1/2 44.530 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 44.530 * [taylor]: Taking taylor expansion of (* b PI) in a 44.530 * [taylor]: Taking taylor expansion of b in a 44.530 * [backup-simplify]: Simplify b into b 44.530 * [taylor]: Taking taylor expansion of PI in a 44.530 * [backup-simplify]: Simplify PI into PI 44.530 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 44.530 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 44.530 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.530 * [taylor]: Taking taylor expansion of a in a 44.530 * [backup-simplify]: Simplify 0 into 0 44.530 * [backup-simplify]: Simplify 1 into 1 44.530 * [backup-simplify]: Simplify (/ 1 1) into 1 44.530 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.530 * [taylor]: Taking taylor expansion of b in a 44.530 * [backup-simplify]: Simplify b into b 44.530 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.530 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 44.530 * [taylor]: Taking taylor expansion of (/ 1 a) in a 44.530 * [taylor]: Taking taylor expansion of a in a 44.530 * [backup-simplify]: Simplify 0 into 0 44.530 * [backup-simplify]: Simplify 1 into 1 44.531 * [backup-simplify]: Simplify (/ 1 1) into 1 44.531 * [taylor]: Taking taylor expansion of (/ 1 b) in a 44.531 * [taylor]: Taking taylor expansion of b in a 44.531 * [backup-simplify]: Simplify b into b 44.531 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 44.531 * [backup-simplify]: Simplify (* b PI) into (* PI b) 44.533 * [backup-simplify]: Simplify (+ 1 0) into 1 44.533 * [backup-simplify]: Simplify (+ 1 0) into 1 44.533 * [backup-simplify]: Simplify (* 1 1) into 1 44.533 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 44.534 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 44.534 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 44.534 * [taylor]: Taking taylor expansion of 1/2 in b 44.534 * [backup-simplify]: Simplify 1/2 into 1/2 44.534 * [taylor]: Taking taylor expansion of (* PI b) in b 44.534 * [taylor]: Taking taylor expansion of PI in b 44.534 * [backup-simplify]: Simplify PI into PI 44.534 * [taylor]: Taking taylor expansion of b in b 44.534 * [backup-simplify]: Simplify 0 into 0 44.534 * [backup-simplify]: Simplify 1 into 1 44.534 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 44.535 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 44.536 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 44.536 * [backup-simplify]: Simplify (* PI 0) into 0 44.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 44.537 * [backup-simplify]: Simplify 0 into 0 44.537 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 44.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.538 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 44.538 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 44.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 44.539 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 44.539 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 44.539 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)))) into 0 44.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 44.540 * [taylor]: Taking taylor expansion of 0 in b 44.540 * [backup-simplify]: Simplify 0 into 0 44.540 * [backup-simplify]: Simplify 0 into 0 44.540 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 44.541 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 44.541 * [backup-simplify]: Simplify 0 into 0 44.542 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 44.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.542 * [backup-simplify]: Simplify (- 0) into 0 44.543 * [backup-simplify]: Simplify (+ 0 0) into 0 44.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 44.544 * [backup-simplify]: Simplify (+ 0 0) into 0 44.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 44.545 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI b) 44.545 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 0) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 44.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 44.545 * [taylor]: Taking taylor expansion of 1/2 in b 44.545 * [backup-simplify]: Simplify 1/2 into 1/2 44.545 * [taylor]: Taking taylor expansion of (/ PI b) in b 44.545 * [taylor]: Taking taylor expansion of PI in b 44.545 * [backup-simplify]: Simplify PI into PI 44.545 * [taylor]: Taking taylor expansion of b in b 44.545 * [backup-simplify]: Simplify 0 into 0 44.545 * [backup-simplify]: Simplify 1 into 1 44.546 * [backup-simplify]: Simplify (/ PI 1) into PI 44.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 44.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 44.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 44.549 * [backup-simplify]: Simplify 0 into 0 44.549 * [backup-simplify]: Simplify 0 into 0 44.550 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 44.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 44.551 * [backup-simplify]: Simplify 0 into 0 44.551 * [backup-simplify]: Simplify 0 into 0 44.551 * * * [progress]: simplifying candidates 44.551 * * * * [progress]: [ 1 / 1734 ] simplifiying candidate # 44.551 * * * * [progress]: [ 2 / 1734 ] simplifiying candidate # 44.551 * * * * [progress]: [ 3 / 1734 ] simplifiying candidate # 44.551 * * * * [progress]: [ 4 / 1734 ] simplifiying candidate # 44.551 * * * * [progress]: [ 5 / 1734 ] simplifiying candidate # 44.551 * * * * [progress]: [ 6 / 1734 ] simplifiying candidate # 44.551 * * * * [progress]: [ 7 / 1734 ] simplifiying candidate # 44.551 * * * * [progress]: [ 8 / 1734 ] simplifiying candidate # 44.551 * * * * [progress]: [ 9 / 1734 ] simplifiying candidate # 44.552 * * * * [progress]: [ 10 / 1734 ] simplifiying candidate # 44.552 * * * * [progress]: [ 11 / 1734 ] simplifiying candidate # 44.552 * * * * [progress]: [ 12 / 1734 ] simplifiying candidate # 44.552 * * * * [progress]: [ 13 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candidate # 44.680 * * * * [progress]: [ 1696 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1697 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1698 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1699 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1700 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1701 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1702 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1703 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1704 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1705 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1706 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1707 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1708 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1709 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1710 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1711 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1712 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1713 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1714 / 1734 ] simplifiying candidate # 44.680 * * * * [progress]: [ 1715 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1716 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1717 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1718 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1719 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1720 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1721 / 1734 ] simplifiying candidate #real (real->posit16 (* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b))))))> 44.681 * * * * [progress]: [ 1722 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1723 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1724 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1725 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1726 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1727 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1728 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1729 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1730 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1731 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1732 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1733 / 1734 ] simplifiying candidate # 44.681 * * * * [progress]: [ 1734 / 1734 ] simplifiying candidate # 44.714 * [simplify]: Simplifying: (expm1 (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)) (log1p (/ (/ (/ (/ PI 2) (+ a b)) (- b a)) a)) (- (- (- (- (log PI) (log 2)) (log (+ a b))) (log (- b a))) (log a)) (- (- (- (log (/ PI 2)) (log (+ a b))) (log (- b a))) (log a)) 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a)) b)) (* (/ (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (sqrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (sqrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (sqrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (cbrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (cbrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (cbrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (sqrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (sqrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (sqrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (cbrt PI) 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (cbrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (cbrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (cbrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (sqrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (sqrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (sqrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (cbrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (cbrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (sqrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (cbrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (cbrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (cbrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (sqrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (sqrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (sqrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ (sqrt PI) 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (cbrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (cbrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (cbrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (sqrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (sqrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (sqrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (cbrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (cbrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (cbrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (cbrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (sqrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (sqrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (sqrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI (sqrt 2)) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (cbrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (cbrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (cbrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (sqrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (sqrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (sqrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (cbrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (cbrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (cbrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (sqrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (sqrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (sqrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (cbrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (cbrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (cbrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (sqrt (+ a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (sqrt (+ a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (sqrt (+ a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ 1 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ 1 (+ a b)) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ 1 (+ a b)) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (/ 1 (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ (+ (* a a) (- (* b b) (* a b))) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (+ (* a a) (- (* b b) (* a b))) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (+ (* a a) (- (* b b) (* a b))) 1) (/ (/ 1 (- b a)) b)) (* (/ (- a b) (cbrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (- a b) (sqrt 1)) (/ (/ 1 (- b a)) b)) (* (/ (- a b) 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) (* (/ 1 1) (/ (/ 1 (- b a)) b)) (* (/ (/ (/ PI 2) (+ a b)) 1) (/ 1 (- b a))) (* (/ (/ PI 2) (+ a b)) (/ (/ 1 (- b a)) b)) (real->posit16 (* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b))) 0 0 0 0 0 0 0 0 0 0 0 0 46.239 * * * [progress]: adding candidates to table 72.412 * * [progress]: iteration 3 / 4 72.412 * * * [progress]: picking best candidate 72.499 * * * * [pick]: Picked # 72.499 * * * [progress]: localizing error 72.539 * * * [progress]: generating rewritten candidates 72.539 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1) 72.551 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1) 72.575 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 72.686 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 72.740 * * * [progress]: generating series expansions 72.740 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1) 72.742 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 72.742 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 72.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 72.742 * [taylor]: Taking taylor expansion of 1/2 in b 72.742 * [backup-simplify]: Simplify 1/2 into 1/2 72.742 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 72.742 * [taylor]: Taking taylor expansion of PI in b 72.742 * [backup-simplify]: Simplify PI into PI 72.742 * [taylor]: Taking taylor expansion of (+ a b) in b 72.742 * [taylor]: Taking taylor expansion of a in b 72.742 * [backup-simplify]: Simplify a into a 72.742 * [taylor]: Taking taylor expansion of b in b 72.742 * [backup-simplify]: Simplify 0 into 0 72.743 * [backup-simplify]: Simplify 1 into 1 72.743 * [backup-simplify]: Simplify (+ a 0) into a 72.743 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 72.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 72.743 * [taylor]: Taking taylor expansion of 1/2 in a 72.743 * [backup-simplify]: Simplify 1/2 into 1/2 72.743 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 72.743 * [taylor]: Taking taylor expansion of PI in a 72.743 * [backup-simplify]: Simplify PI into PI 72.743 * [taylor]: Taking taylor expansion of (+ a b) in a 72.743 * [taylor]: Taking taylor expansion of a in a 72.743 * [backup-simplify]: Simplify 0 into 0 72.743 * [backup-simplify]: Simplify 1 into 1 72.743 * [taylor]: Taking taylor expansion of b in a 72.743 * [backup-simplify]: Simplify b into b 72.743 * [backup-simplify]: Simplify (+ 0 b) into b 72.743 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 72.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 72.743 * [taylor]: Taking taylor expansion of 1/2 in a 72.743 * [backup-simplify]: Simplify 1/2 into 1/2 72.743 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 72.743 * [taylor]: Taking taylor expansion of PI in a 72.743 * [backup-simplify]: Simplify PI into PI 72.743 * [taylor]: Taking taylor expansion of (+ a b) in a 72.743 * [taylor]: Taking taylor expansion of a in a 72.743 * [backup-simplify]: Simplify 0 into 0 72.743 * [backup-simplify]: Simplify 1 into 1 72.743 * [taylor]: Taking taylor expansion of b in a 72.743 * [backup-simplify]: Simplify b into b 72.743 * [backup-simplify]: Simplify (+ 0 b) into b 72.743 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 72.743 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 72.743 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 72.743 * [taylor]: Taking taylor expansion of 1/2 in b 72.743 * [backup-simplify]: Simplify 1/2 into 1/2 72.743 * [taylor]: Taking taylor expansion of (/ PI b) in b 72.743 * [taylor]: Taking taylor expansion of PI in b 72.743 * [backup-simplify]: Simplify PI into PI 72.743 * [taylor]: Taking taylor expansion of b in b 72.743 * [backup-simplify]: Simplify 0 into 0 72.743 * [backup-simplify]: Simplify 1 into 1 72.744 * [backup-simplify]: Simplify (/ PI 1) into PI 72.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 72.745 * [backup-simplify]: Simplify 0 into 0 72.745 * [backup-simplify]: Simplify (+ 1 0) into 1 72.745 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 72.746 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 72.746 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 72.746 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 72.746 * [taylor]: Taking taylor expansion of 1/2 in b 72.746 * [backup-simplify]: Simplify 1/2 into 1/2 72.746 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 72.746 * [taylor]: Taking taylor expansion of PI in b 72.746 * [backup-simplify]: Simplify PI into PI 72.746 * [taylor]: Taking taylor expansion of (pow b 2) in b 72.746 * [taylor]: Taking taylor expansion of b in b 72.746 * [backup-simplify]: Simplify 0 into 0 72.746 * [backup-simplify]: Simplify 1 into 1 72.746 * [backup-simplify]: Simplify (* 1 1) into 1 72.746 * [backup-simplify]: Simplify (/ PI 1) into PI 72.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.749 * [backup-simplify]: Simplify (- 0) into 0 72.750 * [backup-simplify]: Simplify 0 into 0 72.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.751 * [backup-simplify]: Simplify 0 into 0 72.751 * [backup-simplify]: Simplify (+ 0 0) into 0 72.751 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 72.752 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 72.752 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 72.752 * [taylor]: Taking taylor expansion of 1/2 in b 72.752 * [backup-simplify]: Simplify 1/2 into 1/2 72.752 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 72.752 * [taylor]: Taking taylor expansion of PI in b 72.752 * [backup-simplify]: Simplify PI into PI 72.752 * [taylor]: Taking taylor expansion of (pow b 3) in b 72.752 * [taylor]: Taking taylor expansion of b in b 72.752 * [backup-simplify]: Simplify 0 into 0 72.752 * [backup-simplify]: Simplify 1 into 1 72.752 * [backup-simplify]: Simplify (* 1 1) into 1 72.752 * [backup-simplify]: Simplify (* 1 1) into 1 72.753 * [backup-simplify]: Simplify (/ PI 1) into PI 72.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.763 * [backup-simplify]: Simplify 0 into 0 72.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.767 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.768 * [backup-simplify]: Simplify (- 0) into 0 72.768 * [backup-simplify]: Simplify 0 into 0 72.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.770 * [backup-simplify]: Simplify 0 into 0 72.770 * [backup-simplify]: Simplify 0 into 0 72.771 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 72.771 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 72.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 72.771 * [taylor]: Taking taylor expansion of 1/2 in b 72.771 * [backup-simplify]: Simplify 1/2 into 1/2 72.771 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 72.771 * [taylor]: Taking taylor expansion of PI in b 72.771 * [backup-simplify]: Simplify PI into PI 72.771 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 72.771 * [taylor]: Taking taylor expansion of (/ 1 a) in b 72.771 * [taylor]: Taking taylor expansion of a in b 72.771 * [backup-simplify]: Simplify a into a 72.771 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 72.771 * [taylor]: Taking taylor expansion of (/ 1 b) in b 72.771 * [taylor]: Taking taylor expansion of b in b 72.772 * [backup-simplify]: Simplify 0 into 0 72.772 * [backup-simplify]: Simplify 1 into 1 72.772 * [backup-simplify]: Simplify (/ 1 1) into 1 72.773 * [backup-simplify]: Simplify (+ 0 1) into 1 72.773 * [backup-simplify]: Simplify (/ PI 1) into PI 72.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 72.773 * [taylor]: Taking taylor expansion of 1/2 in a 72.773 * [backup-simplify]: Simplify 1/2 into 1/2 72.773 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 72.773 * [taylor]: Taking taylor expansion of PI in a 72.773 * [backup-simplify]: Simplify PI into PI 72.773 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 72.773 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.773 * [taylor]: Taking taylor expansion of a in a 72.773 * [backup-simplify]: Simplify 0 into 0 72.773 * [backup-simplify]: Simplify 1 into 1 72.774 * [backup-simplify]: Simplify (/ 1 1) into 1 72.774 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.774 * [taylor]: Taking taylor expansion of b in a 72.774 * [backup-simplify]: Simplify b into b 72.774 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.775 * [backup-simplify]: Simplify (+ 1 0) into 1 72.775 * [backup-simplify]: Simplify (/ PI 1) into PI 72.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 72.775 * [taylor]: Taking taylor expansion of 1/2 in a 72.775 * [backup-simplify]: Simplify 1/2 into 1/2 72.775 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 72.775 * [taylor]: Taking taylor expansion of PI in a 72.775 * [backup-simplify]: Simplify PI into PI 72.775 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 72.775 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.775 * [taylor]: Taking taylor expansion of a in a 72.775 * [backup-simplify]: Simplify 0 into 0 72.775 * [backup-simplify]: Simplify 1 into 1 72.776 * [backup-simplify]: Simplify (/ 1 1) into 1 72.776 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.776 * [taylor]: Taking taylor expansion of b in a 72.776 * [backup-simplify]: Simplify b into b 72.776 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.776 * [backup-simplify]: Simplify (+ 1 0) into 1 72.777 * [backup-simplify]: Simplify (/ PI 1) into PI 72.778 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 72.778 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 72.778 * [taylor]: Taking taylor expansion of 1/2 in b 72.778 * [backup-simplify]: Simplify 1/2 into 1/2 72.778 * [taylor]: Taking taylor expansion of PI in b 72.778 * [backup-simplify]: Simplify PI into PI 72.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 72.779 * [backup-simplify]: Simplify 0 into 0 72.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.780 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 72.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 72.781 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 72.781 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 72.781 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 72.781 * [taylor]: Taking taylor expansion of 1/2 in b 72.781 * [backup-simplify]: Simplify 1/2 into 1/2 72.781 * [taylor]: Taking taylor expansion of (/ PI b) in b 72.781 * [taylor]: Taking taylor expansion of PI in b 72.781 * [backup-simplify]: Simplify PI into PI 72.781 * [taylor]: Taking taylor expansion of b in b 72.781 * [backup-simplify]: Simplify 0 into 0 72.781 * [backup-simplify]: Simplify 1 into 1 72.782 * [backup-simplify]: Simplify (/ PI 1) into PI 72.783 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.785 * [backup-simplify]: Simplify (- 0) into 0 72.785 * [backup-simplify]: Simplify 0 into 0 72.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.787 * [backup-simplify]: Simplify 0 into 0 72.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 72.788 * [backup-simplify]: Simplify (+ 0 0) into 0 72.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 72.790 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 72.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 72.791 * [taylor]: Taking taylor expansion of 1/2 in b 72.791 * [backup-simplify]: Simplify 1/2 into 1/2 72.791 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 72.791 * [taylor]: Taking taylor expansion of PI in b 72.791 * [backup-simplify]: Simplify PI into PI 72.791 * [taylor]: Taking taylor expansion of (pow b 2) in b 72.791 * [taylor]: Taking taylor expansion of b in b 72.791 * [backup-simplify]: Simplify 0 into 0 72.791 * [backup-simplify]: Simplify 1 into 1 72.791 * [backup-simplify]: Simplify (* 1 1) into 1 72.792 * [backup-simplify]: Simplify (/ PI 1) into PI 72.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.799 * [backup-simplify]: Simplify 0 into 0 72.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.802 * [backup-simplify]: Simplify (- 0) into 0 72.802 * [backup-simplify]: Simplify 0 into 0 72.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.804 * [backup-simplify]: Simplify 0 into 0 72.804 * [backup-simplify]: Simplify 0 into 0 72.804 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 72.804 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 72.804 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 72.804 * [taylor]: Taking taylor expansion of -1/2 in b 72.804 * [backup-simplify]: Simplify -1/2 into -1/2 72.804 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 72.804 * [taylor]: Taking taylor expansion of PI in b 72.805 * [backup-simplify]: Simplify PI into PI 72.805 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 72.805 * [taylor]: Taking taylor expansion of (/ 1 a) in b 72.805 * [taylor]: Taking taylor expansion of a in b 72.805 * [backup-simplify]: Simplify a into a 72.805 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 72.805 * [taylor]: Taking taylor expansion of (/ 1 b) in b 72.805 * [taylor]: Taking taylor expansion of b in b 72.805 * [backup-simplify]: Simplify 0 into 0 72.805 * [backup-simplify]: Simplify 1 into 1 72.805 * [backup-simplify]: Simplify (/ 1 1) into 1 72.806 * [backup-simplify]: Simplify (+ 0 1) into 1 72.806 * [backup-simplify]: Simplify (/ PI 1) into PI 72.806 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 72.806 * [taylor]: Taking taylor expansion of -1/2 in a 72.806 * [backup-simplify]: Simplify -1/2 into -1/2 72.806 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 72.806 * [taylor]: Taking taylor expansion of PI in a 72.806 * [backup-simplify]: Simplify PI into PI 72.806 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 72.806 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.806 * [taylor]: Taking taylor expansion of a in a 72.807 * [backup-simplify]: Simplify 0 into 0 72.807 * [backup-simplify]: Simplify 1 into 1 72.807 * [backup-simplify]: Simplify (/ 1 1) into 1 72.807 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.807 * [taylor]: Taking taylor expansion of b in a 72.807 * [backup-simplify]: Simplify b into b 72.807 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.808 * [backup-simplify]: Simplify (+ 1 0) into 1 72.808 * [backup-simplify]: Simplify (/ PI 1) into PI 72.808 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 72.808 * [taylor]: Taking taylor expansion of -1/2 in a 72.808 * [backup-simplify]: Simplify -1/2 into -1/2 72.808 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 72.808 * [taylor]: Taking taylor expansion of PI in a 72.808 * [backup-simplify]: Simplify PI into PI 72.808 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 72.808 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.808 * [taylor]: Taking taylor expansion of a in a 72.808 * [backup-simplify]: Simplify 0 into 0 72.808 * [backup-simplify]: Simplify 1 into 1 72.809 * [backup-simplify]: Simplify (/ 1 1) into 1 72.809 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.809 * [taylor]: Taking taylor expansion of b in a 72.809 * [backup-simplify]: Simplify b into b 72.809 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.809 * [backup-simplify]: Simplify (+ 1 0) into 1 72.810 * [backup-simplify]: Simplify (/ PI 1) into PI 72.811 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 72.811 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 72.811 * [taylor]: Taking taylor expansion of -1/2 in b 72.811 * [backup-simplify]: Simplify -1/2 into -1/2 72.811 * [taylor]: Taking taylor expansion of PI in b 72.811 * [backup-simplify]: Simplify PI into PI 72.812 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 72.812 * [backup-simplify]: Simplify 0 into 0 72.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.813 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 72.813 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 72.814 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 72.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 72.814 * [taylor]: Taking taylor expansion of 1/2 in b 72.814 * [backup-simplify]: Simplify 1/2 into 1/2 72.814 * [taylor]: Taking taylor expansion of (/ PI b) in b 72.814 * [taylor]: Taking taylor expansion of PI in b 72.814 * [backup-simplify]: Simplify PI into PI 72.814 * [taylor]: Taking taylor expansion of b in b 72.814 * [backup-simplify]: Simplify 0 into 0 72.814 * [backup-simplify]: Simplify 1 into 1 72.815 * [backup-simplify]: Simplify (/ PI 1) into PI 72.816 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.818 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.818 * [backup-simplify]: Simplify 0 into 0 72.819 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.819 * [backup-simplify]: Simplify 0 into 0 72.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 72.820 * [backup-simplify]: Simplify (+ 0 0) into 0 72.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 72.823 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 72.823 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 72.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 72.823 * [taylor]: Taking taylor expansion of 1/2 in b 72.823 * [backup-simplify]: Simplify 1/2 into 1/2 72.823 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 72.823 * [taylor]: Taking taylor expansion of PI in b 72.823 * [backup-simplify]: Simplify PI into PI 72.823 * [taylor]: Taking taylor expansion of (pow b 2) in b 72.823 * [taylor]: Taking taylor expansion of b in b 72.823 * [backup-simplify]: Simplify 0 into 0 72.823 * [backup-simplify]: Simplify 1 into 1 72.823 * [backup-simplify]: Simplify (* 1 1) into 1 72.824 * [backup-simplify]: Simplify (/ PI 1) into PI 72.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.844 * [backup-simplify]: Simplify (- 0) into 0 72.844 * [backup-simplify]: Simplify 0 into 0 72.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.845 * [backup-simplify]: Simplify 0 into 0 72.846 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.846 * [backup-simplify]: Simplify 0 into 0 72.846 * [backup-simplify]: Simplify 0 into 0 72.846 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1) 72.846 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 72.846 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 72.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 72.846 * [taylor]: Taking taylor expansion of 1/2 in b 72.846 * [backup-simplify]: Simplify 1/2 into 1/2 72.846 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 72.846 * [taylor]: Taking taylor expansion of PI in b 72.846 * [backup-simplify]: Simplify PI into PI 72.846 * [taylor]: Taking taylor expansion of (+ a b) in b 72.846 * [taylor]: Taking taylor expansion of a in b 72.846 * [backup-simplify]: Simplify a into a 72.846 * [taylor]: Taking taylor expansion of b in b 72.846 * [backup-simplify]: Simplify 0 into 0 72.847 * [backup-simplify]: Simplify 1 into 1 72.847 * [backup-simplify]: Simplify (+ a 0) into a 72.847 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 72.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 72.847 * [taylor]: Taking taylor expansion of 1/2 in a 72.847 * [backup-simplify]: Simplify 1/2 into 1/2 72.847 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 72.847 * [taylor]: Taking taylor expansion of PI in a 72.847 * [backup-simplify]: Simplify PI into PI 72.847 * [taylor]: Taking taylor expansion of (+ a b) in a 72.847 * [taylor]: Taking taylor expansion of a in a 72.847 * [backup-simplify]: Simplify 0 into 0 72.847 * [backup-simplify]: Simplify 1 into 1 72.847 * [taylor]: Taking taylor expansion of b in a 72.847 * [backup-simplify]: Simplify b into b 72.847 * [backup-simplify]: Simplify (+ 0 b) into b 72.847 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 72.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 72.847 * [taylor]: Taking taylor expansion of 1/2 in a 72.847 * [backup-simplify]: Simplify 1/2 into 1/2 72.847 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 72.847 * [taylor]: Taking taylor expansion of PI in a 72.847 * [backup-simplify]: Simplify PI into PI 72.847 * [taylor]: Taking taylor expansion of (+ a b) in a 72.847 * [taylor]: Taking taylor expansion of a in a 72.847 * [backup-simplify]: Simplify 0 into 0 72.847 * [backup-simplify]: Simplify 1 into 1 72.847 * [taylor]: Taking taylor expansion of b in a 72.847 * [backup-simplify]: Simplify b into b 72.847 * [backup-simplify]: Simplify (+ 0 b) into b 72.847 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 72.847 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 72.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 72.847 * [taylor]: Taking taylor expansion of 1/2 in b 72.847 * [backup-simplify]: Simplify 1/2 into 1/2 72.847 * [taylor]: Taking taylor expansion of (/ PI b) in b 72.847 * [taylor]: Taking taylor expansion of PI in b 72.847 * [backup-simplify]: Simplify PI into PI 72.847 * [taylor]: Taking taylor expansion of b in b 72.847 * [backup-simplify]: Simplify 0 into 0 72.847 * [backup-simplify]: Simplify 1 into 1 72.848 * [backup-simplify]: Simplify (/ PI 1) into PI 72.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.849 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 72.849 * [backup-simplify]: Simplify 0 into 0 72.849 * [backup-simplify]: Simplify (+ 1 0) into 1 72.849 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 72.849 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 72.849 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 72.849 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 72.849 * [taylor]: Taking taylor expansion of 1/2 in b 72.849 * [backup-simplify]: Simplify 1/2 into 1/2 72.849 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 72.849 * [taylor]: Taking taylor expansion of PI in b 72.849 * [backup-simplify]: Simplify PI into PI 72.849 * [taylor]: Taking taylor expansion of (pow b 2) in b 72.849 * [taylor]: Taking taylor expansion of b in b 72.849 * [backup-simplify]: Simplify 0 into 0 72.849 * [backup-simplify]: Simplify 1 into 1 72.850 * [backup-simplify]: Simplify (* 1 1) into 1 72.850 * [backup-simplify]: Simplify (/ PI 1) into PI 72.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.853 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.853 * [backup-simplify]: Simplify (- 0) into 0 72.853 * [backup-simplify]: Simplify 0 into 0 72.854 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.854 * [backup-simplify]: Simplify 0 into 0 72.855 * [backup-simplify]: Simplify (+ 0 0) into 0 72.855 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 72.855 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 72.855 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 72.855 * [taylor]: Taking taylor expansion of 1/2 in b 72.855 * [backup-simplify]: Simplify 1/2 into 1/2 72.855 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 72.855 * [taylor]: Taking taylor expansion of PI in b 72.855 * [backup-simplify]: Simplify PI into PI 72.855 * [taylor]: Taking taylor expansion of (pow b 3) in b 72.855 * [taylor]: Taking taylor expansion of b in b 72.855 * [backup-simplify]: Simplify 0 into 0 72.855 * [backup-simplify]: Simplify 1 into 1 72.855 * [backup-simplify]: Simplify (* 1 1) into 1 72.856 * [backup-simplify]: Simplify (* 1 1) into 1 72.856 * [backup-simplify]: Simplify (/ PI 1) into PI 72.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.862 * [backup-simplify]: Simplify 0 into 0 72.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.864 * [backup-simplify]: Simplify (- 0) into 0 72.864 * [backup-simplify]: Simplify 0 into 0 72.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.865 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.865 * [backup-simplify]: Simplify 0 into 0 72.865 * [backup-simplify]: Simplify 0 into 0 72.866 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 72.866 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 72.866 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 72.866 * [taylor]: Taking taylor expansion of 1/2 in b 72.866 * [backup-simplify]: Simplify 1/2 into 1/2 72.866 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 72.866 * [taylor]: Taking taylor expansion of PI in b 72.866 * [backup-simplify]: Simplify PI into PI 72.866 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 72.866 * [taylor]: Taking taylor expansion of (/ 1 a) in b 72.866 * [taylor]: Taking taylor expansion of a in b 72.866 * [backup-simplify]: Simplify a into a 72.866 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 72.866 * [taylor]: Taking taylor expansion of (/ 1 b) in b 72.866 * [taylor]: Taking taylor expansion of b in b 72.866 * [backup-simplify]: Simplify 0 into 0 72.866 * [backup-simplify]: Simplify 1 into 1 72.866 * [backup-simplify]: Simplify (/ 1 1) into 1 72.867 * [backup-simplify]: Simplify (+ 0 1) into 1 72.867 * [backup-simplify]: Simplify (/ PI 1) into PI 72.867 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 72.867 * [taylor]: Taking taylor expansion of 1/2 in a 72.867 * [backup-simplify]: Simplify 1/2 into 1/2 72.867 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 72.867 * [taylor]: Taking taylor expansion of PI in a 72.867 * [backup-simplify]: Simplify PI into PI 72.867 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 72.867 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.867 * [taylor]: Taking taylor expansion of a in a 72.867 * [backup-simplify]: Simplify 0 into 0 72.867 * [backup-simplify]: Simplify 1 into 1 72.867 * [backup-simplify]: Simplify (/ 1 1) into 1 72.867 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.867 * [taylor]: Taking taylor expansion of b in a 72.867 * [backup-simplify]: Simplify b into b 72.867 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.868 * [backup-simplify]: Simplify (+ 1 0) into 1 72.868 * [backup-simplify]: Simplify (/ PI 1) into PI 72.868 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 72.868 * [taylor]: Taking taylor expansion of 1/2 in a 72.868 * [backup-simplify]: Simplify 1/2 into 1/2 72.868 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 72.868 * [taylor]: Taking taylor expansion of PI in a 72.868 * [backup-simplify]: Simplify PI into PI 72.868 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 72.868 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.868 * [taylor]: Taking taylor expansion of a in a 72.868 * [backup-simplify]: Simplify 0 into 0 72.868 * [backup-simplify]: Simplify 1 into 1 72.868 * [backup-simplify]: Simplify (/ 1 1) into 1 72.868 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.868 * [taylor]: Taking taylor expansion of b in a 72.868 * [backup-simplify]: Simplify b into b 72.868 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.869 * [backup-simplify]: Simplify (+ 1 0) into 1 72.869 * [backup-simplify]: Simplify (/ PI 1) into PI 72.869 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 72.869 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 72.869 * [taylor]: Taking taylor expansion of 1/2 in b 72.869 * [backup-simplify]: Simplify 1/2 into 1/2 72.869 * [taylor]: Taking taylor expansion of PI in b 72.870 * [backup-simplify]: Simplify PI into PI 72.870 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 72.870 * [backup-simplify]: Simplify 0 into 0 72.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.871 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 72.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 72.871 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 72.871 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 72.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 72.871 * [taylor]: Taking taylor expansion of 1/2 in b 72.871 * [backup-simplify]: Simplify 1/2 into 1/2 72.871 * [taylor]: Taking taylor expansion of (/ PI b) in b 72.871 * [taylor]: Taking taylor expansion of PI in b 72.871 * [backup-simplify]: Simplify PI into PI 72.871 * [taylor]: Taking taylor expansion of b in b 72.871 * [backup-simplify]: Simplify 0 into 0 72.871 * [backup-simplify]: Simplify 1 into 1 72.872 * [backup-simplify]: Simplify (/ PI 1) into PI 72.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.874 * [backup-simplify]: Simplify (- 0) into 0 72.874 * [backup-simplify]: Simplify 0 into 0 72.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.875 * [backup-simplify]: Simplify 0 into 0 72.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 72.876 * [backup-simplify]: Simplify (+ 0 0) into 0 72.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 72.877 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 72.877 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 72.877 * [taylor]: Taking taylor expansion of 1/2 in b 72.877 * [backup-simplify]: Simplify 1/2 into 1/2 72.877 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 72.877 * [taylor]: Taking taylor expansion of PI in b 72.877 * [backup-simplify]: Simplify PI into PI 72.877 * [taylor]: Taking taylor expansion of (pow b 2) in b 72.877 * [taylor]: Taking taylor expansion of b in b 72.877 * [backup-simplify]: Simplify 0 into 0 72.877 * [backup-simplify]: Simplify 1 into 1 72.877 * [backup-simplify]: Simplify (* 1 1) into 1 72.878 * [backup-simplify]: Simplify (/ PI 1) into PI 72.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.882 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.882 * [backup-simplify]: Simplify 0 into 0 72.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.884 * [backup-simplify]: Simplify (- 0) into 0 72.884 * [backup-simplify]: Simplify 0 into 0 72.884 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.884 * [backup-simplify]: Simplify 0 into 0 72.884 * [backup-simplify]: Simplify 0 into 0 72.885 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 72.885 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 72.885 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 72.885 * [taylor]: Taking taylor expansion of -1/2 in b 72.885 * [backup-simplify]: Simplify -1/2 into -1/2 72.885 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 72.885 * [taylor]: Taking taylor expansion of PI in b 72.885 * [backup-simplify]: Simplify PI into PI 72.885 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 72.885 * [taylor]: Taking taylor expansion of (/ 1 a) in b 72.885 * [taylor]: Taking taylor expansion of a in b 72.885 * [backup-simplify]: Simplify a into a 72.885 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 72.885 * [taylor]: Taking taylor expansion of (/ 1 b) in b 72.885 * [taylor]: Taking taylor expansion of b in b 72.885 * [backup-simplify]: Simplify 0 into 0 72.885 * [backup-simplify]: Simplify 1 into 1 72.885 * [backup-simplify]: Simplify (/ 1 1) into 1 72.886 * [backup-simplify]: Simplify (+ 0 1) into 1 72.886 * [backup-simplify]: Simplify (/ PI 1) into PI 72.886 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 72.886 * [taylor]: Taking taylor expansion of -1/2 in a 72.886 * [backup-simplify]: Simplify -1/2 into -1/2 72.886 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 72.886 * [taylor]: Taking taylor expansion of PI in a 72.886 * [backup-simplify]: Simplify PI into PI 72.886 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 72.886 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.886 * [taylor]: Taking taylor expansion of a in a 72.886 * [backup-simplify]: Simplify 0 into 0 72.886 * [backup-simplify]: Simplify 1 into 1 72.886 * [backup-simplify]: Simplify (/ 1 1) into 1 72.886 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.886 * [taylor]: Taking taylor expansion of b in a 72.886 * [backup-simplify]: Simplify b into b 72.886 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.887 * [backup-simplify]: Simplify (+ 1 0) into 1 72.887 * [backup-simplify]: Simplify (/ PI 1) into PI 72.887 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 72.887 * [taylor]: Taking taylor expansion of -1/2 in a 72.887 * [backup-simplify]: Simplify -1/2 into -1/2 72.887 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 72.887 * [taylor]: Taking taylor expansion of PI in a 72.887 * [backup-simplify]: Simplify PI into PI 72.887 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 72.887 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.887 * [taylor]: Taking taylor expansion of a in a 72.887 * [backup-simplify]: Simplify 0 into 0 72.887 * [backup-simplify]: Simplify 1 into 1 72.888 * [backup-simplify]: Simplify (/ 1 1) into 1 72.888 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.888 * [taylor]: Taking taylor expansion of b in a 72.888 * [backup-simplify]: Simplify b into b 72.888 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.888 * [backup-simplify]: Simplify (+ 1 0) into 1 72.888 * [backup-simplify]: Simplify (/ PI 1) into PI 72.889 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 72.889 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 72.889 * [taylor]: Taking taylor expansion of -1/2 in b 72.889 * [backup-simplify]: Simplify -1/2 into -1/2 72.889 * [taylor]: Taking taylor expansion of PI in b 72.889 * [backup-simplify]: Simplify PI into PI 72.889 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 72.889 * [backup-simplify]: Simplify 0 into 0 72.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.890 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 72.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 72.890 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 72.890 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 72.891 * [taylor]: Taking taylor expansion of 1/2 in b 72.891 * [backup-simplify]: Simplify 1/2 into 1/2 72.891 * [taylor]: Taking taylor expansion of (/ PI b) in b 72.891 * [taylor]: Taking taylor expansion of PI in b 72.891 * [backup-simplify]: Simplify PI into PI 72.891 * [taylor]: Taking taylor expansion of b in b 72.891 * [backup-simplify]: Simplify 0 into 0 72.891 * [backup-simplify]: Simplify 1 into 1 72.891 * [backup-simplify]: Simplify (/ PI 1) into PI 72.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.893 * [backup-simplify]: Simplify 0 into 0 72.893 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.893 * [backup-simplify]: Simplify 0 into 0 72.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.894 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 72.894 * [backup-simplify]: Simplify (+ 0 0) into 0 72.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 72.896 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 72.896 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 72.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 72.896 * [taylor]: Taking taylor expansion of 1/2 in b 72.896 * [backup-simplify]: Simplify 1/2 into 1/2 72.896 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 72.896 * [taylor]: Taking taylor expansion of PI in b 72.896 * [backup-simplify]: Simplify PI into PI 72.896 * [taylor]: Taking taylor expansion of (pow b 2) in b 72.896 * [taylor]: Taking taylor expansion of b in b 72.896 * [backup-simplify]: Simplify 0 into 0 72.896 * [backup-simplify]: Simplify 1 into 1 72.896 * [backup-simplify]: Simplify (* 1 1) into 1 72.896 * [backup-simplify]: Simplify (/ PI 1) into PI 72.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.901 * [backup-simplify]: Simplify (- 0) into 0 72.901 * [backup-simplify]: Simplify 0 into 0 72.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.902 * [backup-simplify]: Simplify 0 into 0 72.903 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.903 * [backup-simplify]: Simplify 0 into 0 72.903 * [backup-simplify]: Simplify 0 into 0 72.903 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 72.903 * [backup-simplify]: Simplify (* (/ (/ (/ PI 2) (+ a b)) 1) (/ (/ 1 (- b a)) b)) into (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) 72.903 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in (a b) around 0 72.904 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in b 72.904 * [taylor]: Taking taylor expansion of 1/2 in b 72.904 * [backup-simplify]: Simplify 1/2 into 1/2 72.904 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in b 72.904 * [taylor]: Taking taylor expansion of PI in b 72.904 * [backup-simplify]: Simplify PI into PI 72.904 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in b 72.904 * [taylor]: Taking taylor expansion of b in b 72.904 * [backup-simplify]: Simplify 0 into 0 72.904 * [backup-simplify]: Simplify 1 into 1 72.904 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 72.904 * [taylor]: Taking taylor expansion of (+ a b) in b 72.904 * [taylor]: Taking taylor expansion of a in b 72.904 * [backup-simplify]: Simplify a into a 72.904 * [taylor]: Taking taylor expansion of b in b 72.904 * [backup-simplify]: Simplify 0 into 0 72.904 * [backup-simplify]: Simplify 1 into 1 72.904 * [taylor]: Taking taylor expansion of (- b a) in b 72.904 * [taylor]: Taking taylor expansion of b in b 72.904 * [backup-simplify]: Simplify 0 into 0 72.904 * [backup-simplify]: Simplify 1 into 1 72.904 * [taylor]: Taking taylor expansion of a in b 72.904 * [backup-simplify]: Simplify a into a 72.904 * [backup-simplify]: Simplify (+ a 0) into a 72.904 * [backup-simplify]: Simplify (- a) into (- a) 72.904 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 72.904 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 72.904 * [backup-simplify]: Simplify (* 0 (* -1 (pow a 2))) into 0 72.904 * [backup-simplify]: Simplify (- 0) into 0 72.905 * [backup-simplify]: Simplify (+ 1 0) into 1 72.905 * [backup-simplify]: Simplify (+ 0 1) into 1 72.905 * [backup-simplify]: Simplify (+ (* a 1) (* 1 (- a))) into 0 72.905 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* -1 (pow a 2)))) into (- (pow a 2)) 72.905 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 72.905 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 72.905 * [taylor]: Taking taylor expansion of 1/2 in a 72.905 * [backup-simplify]: Simplify 1/2 into 1/2 72.906 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 72.906 * [taylor]: Taking taylor expansion of PI in a 72.906 * [backup-simplify]: Simplify PI into PI 72.906 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 72.906 * [taylor]: Taking taylor expansion of b in a 72.906 * [backup-simplify]: Simplify b into b 72.906 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 72.906 * [taylor]: Taking taylor expansion of (+ a b) in a 72.906 * [taylor]: Taking taylor expansion of a in a 72.906 * [backup-simplify]: Simplify 0 into 0 72.906 * [backup-simplify]: Simplify 1 into 1 72.906 * [taylor]: Taking taylor expansion of b in a 72.906 * [backup-simplify]: Simplify b into b 72.906 * [taylor]: Taking taylor expansion of (- b a) in a 72.906 * [taylor]: Taking taylor expansion of b in a 72.906 * [backup-simplify]: Simplify b into b 72.906 * [taylor]: Taking taylor expansion of a in a 72.906 * [backup-simplify]: Simplify 0 into 0 72.906 * [backup-simplify]: Simplify 1 into 1 72.906 * [backup-simplify]: Simplify (+ 0 b) into b 72.906 * [backup-simplify]: Simplify (- 0) into 0 72.906 * [backup-simplify]: Simplify (+ b 0) into b 72.906 * [backup-simplify]: Simplify (* b b) into (pow b 2) 72.906 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 72.906 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 72.906 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 72.906 * [taylor]: Taking taylor expansion of 1/2 in a 72.906 * [backup-simplify]: Simplify 1/2 into 1/2 72.906 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 72.906 * [taylor]: Taking taylor expansion of PI in a 72.906 * [backup-simplify]: Simplify PI into PI 72.906 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 72.906 * [taylor]: Taking taylor expansion of b in a 72.906 * [backup-simplify]: Simplify b into b 72.906 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 72.906 * [taylor]: Taking taylor expansion of (+ a b) in a 72.906 * [taylor]: Taking taylor expansion of a in a 72.906 * [backup-simplify]: Simplify 0 into 0 72.906 * [backup-simplify]: Simplify 1 into 1 72.906 * [taylor]: Taking taylor expansion of b in a 72.907 * [backup-simplify]: Simplify b into b 72.907 * [taylor]: Taking taylor expansion of (- b a) in a 72.907 * [taylor]: Taking taylor expansion of b in a 72.907 * [backup-simplify]: Simplify b into b 72.907 * [taylor]: Taking taylor expansion of a in a 72.907 * [backup-simplify]: Simplify 0 into 0 72.907 * [backup-simplify]: Simplify 1 into 1 72.907 * [backup-simplify]: Simplify (+ 0 b) into b 72.907 * [backup-simplify]: Simplify (- 0) into 0 72.907 * [backup-simplify]: Simplify (+ b 0) into b 72.907 * [backup-simplify]: Simplify (* b b) into (pow b 2) 72.907 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 72.907 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 72.907 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 3))) into (* 1/2 (/ PI (pow b 3))) 72.907 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 72.907 * [taylor]: Taking taylor expansion of 1/2 in b 72.907 * [backup-simplify]: Simplify 1/2 into 1/2 72.907 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 72.907 * [taylor]: Taking taylor expansion of PI in b 72.907 * [backup-simplify]: Simplify PI into PI 72.907 * [taylor]: Taking taylor expansion of (pow b 3) in b 72.907 * [taylor]: Taking taylor expansion of b in b 72.907 * [backup-simplify]: Simplify 0 into 0 72.907 * [backup-simplify]: Simplify 1 into 1 72.908 * [backup-simplify]: Simplify (* 1 1) into 1 72.908 * [backup-simplify]: Simplify (* 1 1) into 1 72.908 * [backup-simplify]: Simplify (/ PI 1) into PI 72.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.909 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 72.912 * [backup-simplify]: Simplify 0 into 0 72.912 * [backup-simplify]: Simplify (- 1) into -1 72.913 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.913 * [backup-simplify]: Simplify (+ 1 0) into 1 72.913 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 72.913 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0 72.913 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))))) into 0 72.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 3)))) into 0 72.914 * [taylor]: Taking taylor expansion of 0 in b 72.914 * [backup-simplify]: Simplify 0 into 0 72.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.916 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 72.916 * [backup-simplify]: Simplify 0 into 0 72.917 * [backup-simplify]: Simplify (- 0) into 0 72.917 * [backup-simplify]: Simplify (+ 0 0) into 0 72.917 * [backup-simplify]: Simplify (+ 0 0) into 0 72.917 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 72.918 * [backup-simplify]: Simplify (+ (* b (- 1)) (+ (* 0 0) (* 0 (pow b 2)))) into (- b) 72.918 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ (- b) (pow b 3))) (* 0 (/ 0 (pow b 3))))) into (/ PI (pow b 5)) 72.919 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3))))) into (* 1/2 (/ PI (pow b 5))) 72.919 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 5))) in b 72.919 * [taylor]: Taking taylor expansion of 1/2 in b 72.919 * [backup-simplify]: Simplify 1/2 into 1/2 72.919 * [taylor]: Taking taylor expansion of (/ PI (pow b 5)) in b 72.919 * [taylor]: Taking taylor expansion of PI in b 72.919 * [backup-simplify]: Simplify PI into PI 72.919 * [taylor]: Taking taylor expansion of (pow b 5) in b 72.919 * [taylor]: Taking taylor expansion of b in b 72.919 * [backup-simplify]: Simplify 0 into 0 72.919 * [backup-simplify]: Simplify 1 into 1 72.919 * [backup-simplify]: Simplify (* 1 1) into 1 72.919 * [backup-simplify]: Simplify (* 1 1) into 1 72.919 * [backup-simplify]: Simplify (* 1 1) into 1 72.920 * [backup-simplify]: Simplify (/ PI 1) into PI 72.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 72.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 72.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 72.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 72.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 72.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 72.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.935 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 72.935 * [backup-simplify]: Simplify 0 into 0 72.935 * [backup-simplify]: Simplify 0 into 0 72.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 72.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 72.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 72.946 * [backup-simplify]: Simplify 0 into 0 72.947 * [backup-simplify]: Simplify (- 0) into 0 72.947 * [backup-simplify]: Simplify (+ 0 0) into 0 72.948 * [backup-simplify]: Simplify (+ 0 0) into 0 72.949 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 72.950 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into 0 72.950 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ (- b) (pow b 3))) (* (/ PI (pow b 5)) (/ 0 (pow b 3))))) into 0 72.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3)))))) into 0 72.951 * [taylor]: Taking taylor expansion of 0 in b 72.951 * [backup-simplify]: Simplify 0 into 0 72.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 72.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 72.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 72.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.959 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 72.959 * [backup-simplify]: Simplify 0 into 0 72.959 * [backup-simplify]: Simplify 0 into 0 72.960 * [backup-simplify]: Simplify (* (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) 1) (/ (/ 1 (- (/ 1 b) (/ 1 a))) (/ 1 b))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 72.960 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 72.960 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 72.960 * [taylor]: Taking taylor expansion of 1/2 in b 72.960 * [backup-simplify]: Simplify 1/2 into 1/2 72.960 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 72.960 * [taylor]: Taking taylor expansion of (* b PI) in b 72.960 * [taylor]: Taking taylor expansion of b in b 72.960 * [backup-simplify]: Simplify 0 into 0 72.960 * [backup-simplify]: Simplify 1 into 1 72.960 * [taylor]: Taking taylor expansion of PI in b 72.960 * [backup-simplify]: Simplify PI into PI 72.960 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 72.960 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 72.961 * [taylor]: Taking taylor expansion of (/ 1 a) in b 72.961 * [taylor]: Taking taylor expansion of a in b 72.961 * [backup-simplify]: Simplify a into a 72.961 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 72.961 * [taylor]: Taking taylor expansion of (/ 1 b) in b 72.961 * [taylor]: Taking taylor expansion of b in b 72.961 * [backup-simplify]: Simplify 0 into 0 72.961 * [backup-simplify]: Simplify 1 into 1 72.961 * [backup-simplify]: Simplify (/ 1 1) into 1 72.961 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 72.961 * [taylor]: Taking taylor expansion of (/ 1 b) in b 72.961 * [taylor]: Taking taylor expansion of b in b 72.961 * [backup-simplify]: Simplify 0 into 0 72.961 * [backup-simplify]: Simplify 1 into 1 72.962 * [backup-simplify]: Simplify (/ 1 1) into 1 72.962 * [taylor]: Taking taylor expansion of (/ 1 a) in b 72.962 * [taylor]: Taking taylor expansion of a in b 72.962 * [backup-simplify]: Simplify a into a 72.962 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 72.962 * [backup-simplify]: Simplify (* 0 PI) into 0 72.964 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 72.965 * [backup-simplify]: Simplify (+ 0 1) into 1 72.965 * [backup-simplify]: Simplify (+ 1 0) into 1 72.966 * [backup-simplify]: Simplify (* 1 1) into 1 72.966 * [backup-simplify]: Simplify (/ PI 1) into PI 72.966 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 72.966 * [taylor]: Taking taylor expansion of 1/2 in a 72.966 * [backup-simplify]: Simplify 1/2 into 1/2 72.966 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 72.966 * [taylor]: Taking taylor expansion of (* b PI) in a 72.966 * [taylor]: Taking taylor expansion of b in a 72.966 * [backup-simplify]: Simplify b into b 72.966 * [taylor]: Taking taylor expansion of PI in a 72.966 * [backup-simplify]: Simplify PI into PI 72.966 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 72.966 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 72.966 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.966 * [taylor]: Taking taylor expansion of a in a 72.966 * [backup-simplify]: Simplify 0 into 0 72.966 * [backup-simplify]: Simplify 1 into 1 72.967 * [backup-simplify]: Simplify (/ 1 1) into 1 72.967 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.967 * [taylor]: Taking taylor expansion of b in a 72.967 * [backup-simplify]: Simplify b into b 72.967 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.967 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 72.967 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.967 * [taylor]: Taking taylor expansion of b in a 72.967 * [backup-simplify]: Simplify b into b 72.967 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.967 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.967 * [taylor]: Taking taylor expansion of a in a 72.967 * [backup-simplify]: Simplify 0 into 0 72.967 * [backup-simplify]: Simplify 1 into 1 72.968 * [backup-simplify]: Simplify (/ 1 1) into 1 72.968 * [backup-simplify]: Simplify (* b PI) into (* PI b) 72.968 * [backup-simplify]: Simplify (+ 1 0) into 1 72.968 * [backup-simplify]: Simplify (- 1) into -1 72.969 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.969 * [backup-simplify]: Simplify (* 1 -1) into -1 72.969 * [backup-simplify]: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) 72.969 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 72.969 * [taylor]: Taking taylor expansion of 1/2 in a 72.969 * [backup-simplify]: Simplify 1/2 into 1/2 72.969 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 72.969 * [taylor]: Taking taylor expansion of (* b PI) in a 72.969 * [taylor]: Taking taylor expansion of b in a 72.970 * [backup-simplify]: Simplify b into b 72.970 * [taylor]: Taking taylor expansion of PI in a 72.970 * [backup-simplify]: Simplify PI into PI 72.970 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 72.970 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 72.970 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.970 * [taylor]: Taking taylor expansion of a in a 72.970 * [backup-simplify]: Simplify 0 into 0 72.970 * [backup-simplify]: Simplify 1 into 1 72.970 * [backup-simplify]: Simplify (/ 1 1) into 1 72.970 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.970 * [taylor]: Taking taylor expansion of b in a 72.970 * [backup-simplify]: Simplify b into b 72.970 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.970 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 72.970 * [taylor]: Taking taylor expansion of (/ 1 b) in a 72.970 * [taylor]: Taking taylor expansion of b in a 72.970 * [backup-simplify]: Simplify b into b 72.970 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 72.970 * [taylor]: Taking taylor expansion of (/ 1 a) in a 72.970 * [taylor]: Taking taylor expansion of a in a 72.970 * [backup-simplify]: Simplify 0 into 0 72.970 * [backup-simplify]: Simplify 1 into 1 72.971 * [backup-simplify]: Simplify (/ 1 1) into 1 72.971 * [backup-simplify]: Simplify (* b PI) into (* PI b) 72.971 * [backup-simplify]: Simplify (+ 1 0) into 1 72.972 * [backup-simplify]: Simplify (- 1) into -1 72.972 * [backup-simplify]: Simplify (+ 0 -1) into -1 72.973 * [backup-simplify]: Simplify (* 1 -1) into -1 72.973 * [backup-simplify]: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) 72.973 * [backup-simplify]: Simplify (* 1/2 (* -1 (* PI b))) into (* -1/2 (* b PI)) 72.973 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 72.973 * [taylor]: Taking taylor expansion of -1/2 in b 72.973 * [backup-simplify]: Simplify -1/2 into -1/2 72.973 * [taylor]: Taking taylor expansion of (* b PI) in b 72.973 * [taylor]: Taking taylor expansion of b in b 72.973 * [backup-simplify]: Simplify 0 into 0 72.973 * [backup-simplify]: Simplify 1 into 1 72.973 * [taylor]: Taking taylor expansion of PI in b 72.973 * [backup-simplify]: Simplify PI into PI 72.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 72.975 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 72.977 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 72.977 * [backup-simplify]: Simplify (* 0 PI) into 0 72.978 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 72.979 * [backup-simplify]: Simplify 0 into 0 72.979 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 72.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.980 * [backup-simplify]: Simplify (- 0) into 0 72.980 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 72.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 72.981 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 72.981 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 72.982 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI b)) (/ 0 -1)))) into 0 72.983 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* PI b)))) into 0 72.983 * [taylor]: Taking taylor expansion of 0 in b 72.983 * [backup-simplify]: Simplify 0 into 0 72.983 * [backup-simplify]: Simplify 0 into 0 72.984 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 72.986 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 72.986 * [backup-simplify]: Simplify 0 into 0 72.987 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 72.987 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 72.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.988 * [backup-simplify]: Simplify (- 0) into 0 72.988 * [backup-simplify]: Simplify (+ 0 0) into 0 72.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 72.990 * [backup-simplify]: Simplify (+ 0 0) into 0 72.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 72.992 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI b)) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI b)) 72.992 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (+ (* 0 0) (* 0 (* -1 (* PI b))))) into (- (* 1/2 (/ PI b))) 72.992 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 72.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 72.992 * [taylor]: Taking taylor expansion of 1/2 in b 72.992 * [backup-simplify]: Simplify 1/2 into 1/2 72.992 * [taylor]: Taking taylor expansion of (/ PI b) in b 72.992 * [taylor]: Taking taylor expansion of PI in b 72.992 * [backup-simplify]: Simplify PI into PI 72.992 * [taylor]: Taking taylor expansion of b in b 72.992 * [backup-simplify]: Simplify 0 into 0 72.992 * [backup-simplify]: Simplify 1 into 1 72.993 * [backup-simplify]: Simplify (/ PI 1) into PI 72.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 72.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.995 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 72.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 72.997 * [backup-simplify]: Simplify (- 0) into 0 72.997 * [backup-simplify]: Simplify 0 into 0 72.997 * [backup-simplify]: Simplify 0 into 0 72.998 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 72.999 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 72.999 * [backup-simplify]: Simplify 0 into 0 72.999 * [backup-simplify]: Simplify 0 into 0 73.000 * [backup-simplify]: Simplify (* (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) 1) (/ (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (- b)))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 73.000 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 73.000 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 73.000 * [taylor]: Taking taylor expansion of 1/2 in b 73.000 * [backup-simplify]: Simplify 1/2 into 1/2 73.000 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 73.000 * [taylor]: Taking taylor expansion of (* b PI) in b 73.000 * [taylor]: Taking taylor expansion of b in b 73.000 * [backup-simplify]: Simplify 0 into 0 73.000 * [backup-simplify]: Simplify 1 into 1 73.000 * [taylor]: Taking taylor expansion of PI in b 73.000 * [backup-simplify]: Simplify PI into PI 73.000 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 73.000 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 73.000 * [taylor]: Taking taylor expansion of (/ 1 a) in b 73.000 * [taylor]: Taking taylor expansion of a in b 73.000 * [backup-simplify]: Simplify a into a 73.000 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 73.000 * [taylor]: Taking taylor expansion of (/ 1 b) in b 73.000 * [taylor]: Taking taylor expansion of b in b 73.000 * [backup-simplify]: Simplify 0 into 0 73.000 * [backup-simplify]: Simplify 1 into 1 73.000 * [backup-simplify]: Simplify (/ 1 1) into 1 73.000 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 73.000 * [taylor]: Taking taylor expansion of (/ 1 a) in b 73.000 * [taylor]: Taking taylor expansion of a in b 73.000 * [backup-simplify]: Simplify a into a 73.001 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 73.001 * [taylor]: Taking taylor expansion of (/ 1 b) in b 73.001 * [taylor]: Taking taylor expansion of b in b 73.001 * [backup-simplify]: Simplify 0 into 0 73.001 * [backup-simplify]: Simplify 1 into 1 73.001 * [backup-simplify]: Simplify (/ 1 1) into 1 73.001 * [backup-simplify]: Simplify (* 0 PI) into 0 73.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 73.002 * [backup-simplify]: Simplify (+ 0 1) into 1 73.003 * [backup-simplify]: Simplify (- 1) into -1 73.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 73.003 * [backup-simplify]: Simplify (* 1 -1) into -1 73.003 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 73.003 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 73.004 * [taylor]: Taking taylor expansion of 1/2 in a 73.004 * [backup-simplify]: Simplify 1/2 into 1/2 73.004 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 73.004 * [taylor]: Taking taylor expansion of (* b PI) in a 73.004 * [taylor]: Taking taylor expansion of b in a 73.004 * [backup-simplify]: Simplify b into b 73.004 * [taylor]: Taking taylor expansion of PI in a 73.004 * [backup-simplify]: Simplify PI into PI 73.004 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 73.004 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 73.004 * [taylor]: Taking taylor expansion of (/ 1 a) in a 73.004 * [taylor]: Taking taylor expansion of a in a 73.004 * [backup-simplify]: Simplify 0 into 0 73.004 * [backup-simplify]: Simplify 1 into 1 73.004 * [backup-simplify]: Simplify (/ 1 1) into 1 73.004 * [taylor]: Taking taylor expansion of (/ 1 b) in a 73.004 * [taylor]: Taking taylor expansion of b in a 73.004 * [backup-simplify]: Simplify b into b 73.004 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 73.004 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 73.004 * [taylor]: Taking taylor expansion of (/ 1 a) in a 73.004 * [taylor]: Taking taylor expansion of a in a 73.004 * [backup-simplify]: Simplify 0 into 0 73.004 * [backup-simplify]: Simplify 1 into 1 73.004 * [backup-simplify]: Simplify (/ 1 1) into 1 73.004 * [taylor]: Taking taylor expansion of (/ 1 b) in a 73.004 * [taylor]: Taking taylor expansion of b in a 73.004 * [backup-simplify]: Simplify b into b 73.004 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 73.005 * [backup-simplify]: Simplify (* b PI) into (* PI b) 73.005 * [backup-simplify]: Simplify (+ 1 0) into 1 73.005 * [backup-simplify]: Simplify (+ 1 0) into 1 73.005 * [backup-simplify]: Simplify (* 1 1) into 1 73.005 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 73.005 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 73.005 * [taylor]: Taking taylor expansion of 1/2 in a 73.005 * [backup-simplify]: Simplify 1/2 into 1/2 73.005 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 73.005 * [taylor]: Taking taylor expansion of (* b PI) in a 73.005 * [taylor]: Taking taylor expansion of b in a 73.005 * [backup-simplify]: Simplify b into b 73.006 * [taylor]: Taking taylor expansion of PI in a 73.006 * [backup-simplify]: Simplify PI into PI 73.006 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 73.006 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 73.006 * [taylor]: Taking taylor expansion of (/ 1 a) in a 73.006 * [taylor]: Taking taylor expansion of a in a 73.006 * [backup-simplify]: Simplify 0 into 0 73.006 * [backup-simplify]: Simplify 1 into 1 73.006 * [backup-simplify]: Simplify (/ 1 1) into 1 73.006 * [taylor]: Taking taylor expansion of (/ 1 b) in a 73.006 * [taylor]: Taking taylor expansion of b in a 73.006 * [backup-simplify]: Simplify b into b 73.006 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 73.006 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 73.006 * [taylor]: Taking taylor expansion of (/ 1 a) in a 73.006 * [taylor]: Taking taylor expansion of a in a 73.006 * [backup-simplify]: Simplify 0 into 0 73.006 * [backup-simplify]: Simplify 1 into 1 73.006 * [backup-simplify]: Simplify (/ 1 1) into 1 73.006 * [taylor]: Taking taylor expansion of (/ 1 b) in a 73.006 * [taylor]: Taking taylor expansion of b in a 73.006 * [backup-simplify]: Simplify b into b 73.006 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 73.006 * [backup-simplify]: Simplify (* b PI) into (* PI b) 73.007 * [backup-simplify]: Simplify (+ 1 0) into 1 73.007 * [backup-simplify]: Simplify (+ 1 0) into 1 73.007 * [backup-simplify]: Simplify (* 1 1) into 1 73.007 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 73.007 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 73.007 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 73.007 * [taylor]: Taking taylor expansion of 1/2 in b 73.007 * [backup-simplify]: Simplify 1/2 into 1/2 73.007 * [taylor]: Taking taylor expansion of (* PI b) in b 73.007 * [taylor]: Taking taylor expansion of PI in b 73.007 * [backup-simplify]: Simplify PI into PI 73.007 * [taylor]: Taking taylor expansion of b in b 73.007 * [backup-simplify]: Simplify 0 into 0 73.007 * [backup-simplify]: Simplify 1 into 1 73.008 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 73.009 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 73.010 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 73.010 * [backup-simplify]: Simplify (* PI 0) into 0 73.011 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 73.011 * [backup-simplify]: Simplify 0 into 0 73.011 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 73.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.012 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 73.012 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 73.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.012 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 73.012 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 73.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)))) into 0 73.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 73.013 * [taylor]: Taking taylor expansion of 0 in b 73.013 * [backup-simplify]: Simplify 0 into 0 73.013 * [backup-simplify]: Simplify 0 into 0 73.014 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 73.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 73.015 * [backup-simplify]: Simplify 0 into 0 73.015 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 73.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 73.016 * [backup-simplify]: Simplify (- 0) into 0 73.017 * [backup-simplify]: Simplify (+ 0 0) into 0 73.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 73.017 * [backup-simplify]: Simplify (+ 0 0) into 0 73.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 73.019 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI b) 73.019 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 0) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 73.019 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 73.019 * [taylor]: Taking taylor expansion of 1/2 in b 73.019 * [backup-simplify]: Simplify 1/2 into 1/2 73.019 * [taylor]: Taking taylor expansion of (/ PI b) in b 73.019 * [taylor]: Taking taylor expansion of PI in b 73.019 * [backup-simplify]: Simplify PI into PI 73.019 * [taylor]: Taking taylor expansion of b in b 73.019 * [backup-simplify]: Simplify 0 into 0 73.019 * [backup-simplify]: Simplify 1 into 1 73.020 * [backup-simplify]: Simplify (/ PI 1) into PI 73.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 73.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 73.026 * [backup-simplify]: Simplify 0 into 0 73.026 * [backup-simplify]: Simplify 0 into 0 73.027 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 73.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 73.029 * [backup-simplify]: Simplify 0 into 0 73.029 * [backup-simplify]: Simplify 0 into 0 73.029 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 73.029 * [backup-simplify]: Simplify (/ (/ 1 (- b a)) b) into (/ 1 (* (- b a) b)) 73.029 * [approximate]: Taking taylor expansion of (/ 1 (* (- b a) b)) in (b a) around 0 73.029 * [taylor]: Taking taylor expansion of (/ 1 (* (- b a) b)) in a 73.029 * [taylor]: Taking taylor expansion of (* (- b a) b) in a 73.029 * [taylor]: Taking taylor expansion of (- b a) in a 73.029 * [taylor]: Taking taylor expansion of b in a 73.029 * [backup-simplify]: Simplify b into b 73.029 * [taylor]: Taking taylor expansion of a in a 73.030 * [backup-simplify]: Simplify 0 into 0 73.030 * [backup-simplify]: Simplify 1 into 1 73.030 * [taylor]: Taking taylor expansion of b in a 73.030 * [backup-simplify]: Simplify b into b 73.030 * [backup-simplify]: Simplify (- 0) into 0 73.030 * [backup-simplify]: Simplify (+ b 0) into b 73.030 * [backup-simplify]: Simplify (* b b) into (pow b 2) 73.030 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 73.030 * [taylor]: Taking taylor expansion of (/ 1 (* (- b a) b)) in b 73.030 * [taylor]: Taking taylor expansion of (* (- b a) b) in b 73.030 * [taylor]: Taking taylor expansion of (- b a) in b 73.030 * [taylor]: Taking taylor expansion of b in b 73.030 * [backup-simplify]: Simplify 0 into 0 73.030 * [backup-simplify]: Simplify 1 into 1 73.030 * [taylor]: Taking taylor expansion of a in b 73.031 * [backup-simplify]: Simplify a into a 73.031 * [taylor]: Taking taylor expansion of b in b 73.031 * [backup-simplify]: Simplify 0 into 0 73.031 * [backup-simplify]: Simplify 1 into 1 73.031 * [backup-simplify]: Simplify (- a) into (- a) 73.031 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 73.031 * [backup-simplify]: Simplify (* (- a) 0) into 0 73.031 * [backup-simplify]: Simplify (- 0) into 0 73.032 * [backup-simplify]: Simplify (+ 1 0) into 1 73.032 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 0)) into (- a) 73.032 * [backup-simplify]: Simplify (/ 1 (- a)) into (/ -1 a) 73.032 * [taylor]: Taking taylor expansion of (/ 1 (* (- b a) b)) in b 73.032 * [taylor]: Taking taylor expansion of (* (- b a) b) in b 73.032 * [taylor]: Taking taylor expansion of (- b a) in b 73.032 * [taylor]: Taking taylor expansion of b in b 73.032 * [backup-simplify]: Simplify 0 into 0 73.032 * [backup-simplify]: Simplify 1 into 1 73.032 * [taylor]: Taking taylor expansion of a in b 73.032 * [backup-simplify]: Simplify a into a 73.033 * [taylor]: Taking taylor expansion of b in b 73.033 * [backup-simplify]: Simplify 0 into 0 73.033 * [backup-simplify]: Simplify 1 into 1 73.033 * [backup-simplify]: Simplify (- a) into (- a) 73.033 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 73.033 * [backup-simplify]: Simplify (* (- a) 0) into 0 73.033 * [backup-simplify]: Simplify (- 0) into 0 73.034 * [backup-simplify]: Simplify (+ 1 0) into 1 73.034 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 0)) into (- a) 73.034 * [backup-simplify]: Simplify (/ 1 (- a)) into (/ -1 a) 73.034 * [taylor]: Taking taylor expansion of (/ -1 a) in a 73.034 * [taylor]: Taking taylor expansion of -1 in a 73.034 * [backup-simplify]: Simplify -1 into -1 73.034 * [taylor]: Taking taylor expansion of a in a 73.034 * [backup-simplify]: Simplify 0 into 0 73.034 * [backup-simplify]: Simplify 1 into 1 73.035 * [backup-simplify]: Simplify (/ -1 1) into -1 73.036 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 73.036 * [backup-simplify]: Simplify 0 into 0 73.036 * [backup-simplify]: Simplify (- 0) into 0 73.037 * [backup-simplify]: Simplify (+ 0 0) into 0 73.037 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 0))) into 1 73.038 * [backup-simplify]: Simplify (- (+ (* (/ -1 a) (/ 1 (- a))))) into (- (/ 1 (pow a 2))) 73.038 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 73.038 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 73.038 * [taylor]: Taking taylor expansion of (pow a 2) in a 73.038 * [taylor]: Taking taylor expansion of a in a 73.038 * [backup-simplify]: Simplify 0 into 0 73.038 * [backup-simplify]: Simplify 1 into 1 73.038 * [backup-simplify]: Simplify (* 1 1) into 1 73.039 * [backup-simplify]: Simplify (/ 1 1) into 1 73.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 73.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 73.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.042 * [backup-simplify]: Simplify (- 0) into 0 73.042 * [backup-simplify]: Simplify 0 into 0 73.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.044 * [backup-simplify]: Simplify 0 into 0 73.044 * [backup-simplify]: Simplify (- 0) into 0 73.044 * [backup-simplify]: Simplify (+ 0 0) into 0 73.045 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 73.046 * [backup-simplify]: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* (- (/ 1 (pow a 2))) (/ 1 (- a))))) into (- (/ 1 (pow a 3))) 73.046 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 3))) in a 73.046 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 73.046 * [taylor]: Taking taylor expansion of (pow a 3) in a 73.046 * [taylor]: Taking taylor expansion of a in a 73.046 * [backup-simplify]: Simplify 0 into 0 73.046 * [backup-simplify]: Simplify 1 into 1 73.046 * [backup-simplify]: Simplify (* 1 1) into 1 73.047 * [backup-simplify]: Simplify (* 1 1) into 1 73.047 * [backup-simplify]: Simplify (/ 1 1) into 1 73.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 73.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 73.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 73.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 73.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 73.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 73.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.056 * [backup-simplify]: Simplify (- 0) into 0 73.056 * [backup-simplify]: Simplify 0 into 0 73.057 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 73.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.059 * [backup-simplify]: Simplify (- 0) into 0 73.059 * [backup-simplify]: Simplify 0 into 0 73.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.060 * [backup-simplify]: Simplify 0 into 0 73.060 * [backup-simplify]: Simplify 0 into 0 73.060 * [backup-simplify]: Simplify (/ (/ 1 (- (/ 1 b) (/ 1 a))) (/ 1 b)) into (/ b (- (/ 1 b) (/ 1 a))) 73.060 * [approximate]: Taking taylor expansion of (/ b (- (/ 1 b) (/ 1 a))) in (b a) around 0 73.060 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 b) (/ 1 a))) in a 73.060 * [taylor]: Taking taylor expansion of b in a 73.060 * [backup-simplify]: Simplify b into b 73.060 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 73.060 * [taylor]: Taking taylor expansion of (/ 1 b) in a 73.060 * [taylor]: Taking taylor expansion of b in a 73.060 * [backup-simplify]: Simplify b into b 73.060 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 73.060 * [taylor]: Taking taylor expansion of (/ 1 a) in a 73.060 * [taylor]: Taking taylor expansion of a in a 73.060 * [backup-simplify]: Simplify 0 into 0 73.060 * [backup-simplify]: Simplify 1 into 1 73.061 * [backup-simplify]: Simplify (/ 1 1) into 1 73.061 * [backup-simplify]: Simplify (- 1) into -1 73.062 * [backup-simplify]: Simplify (+ 0 -1) into -1 73.062 * [backup-simplify]: Simplify (/ b -1) into (* -1 b) 73.062 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 b) (/ 1 a))) in b 73.062 * [taylor]: Taking taylor expansion of b in b 73.062 * [backup-simplify]: Simplify 0 into 0 73.062 * [backup-simplify]: Simplify 1 into 1 73.062 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 73.062 * [taylor]: Taking taylor expansion of (/ 1 b) in b 73.062 * [taylor]: Taking taylor expansion of b in b 73.062 * [backup-simplify]: Simplify 0 into 0 73.062 * [backup-simplify]: Simplify 1 into 1 73.062 * [backup-simplify]: Simplify (/ 1 1) into 1 73.062 * [taylor]: Taking taylor expansion of (/ 1 a) in b 73.062 * [taylor]: Taking taylor expansion of a in b 73.063 * [backup-simplify]: Simplify a into a 73.063 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 73.063 * [backup-simplify]: Simplify (+ 1 0) into 1 73.063 * [backup-simplify]: Simplify (/ 1 1) into 1 73.063 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 b) (/ 1 a))) in b 73.063 * [taylor]: Taking taylor expansion of b in b 73.064 * [backup-simplify]: Simplify 0 into 0 73.064 * [backup-simplify]: Simplify 1 into 1 73.064 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 73.064 * [taylor]: Taking taylor expansion of (/ 1 b) in b 73.064 * [taylor]: Taking taylor expansion of b in b 73.064 * [backup-simplify]: Simplify 0 into 0 73.064 * [backup-simplify]: Simplify 1 into 1 73.064 * [backup-simplify]: Simplify (/ 1 1) into 1 73.064 * [taylor]: Taking taylor expansion of (/ 1 a) in b 73.064 * [taylor]: Taking taylor expansion of a in b 73.064 * [backup-simplify]: Simplify a into a 73.064 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 73.065 * [backup-simplify]: Simplify (+ 1 0) into 1 73.065 * [backup-simplify]: Simplify (/ 1 1) into 1 73.065 * [taylor]: Taking taylor expansion of 1 in a 73.065 * [backup-simplify]: Simplify 1 into 1 73.065 * [backup-simplify]: Simplify 0 into 0 73.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.066 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 73.066 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 73.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 a)) 1)))) into (/ 1 a) 73.067 * [taylor]: Taking taylor expansion of (/ 1 a) in a 73.067 * [taylor]: Taking taylor expansion of a in a 73.067 * [backup-simplify]: Simplify 0 into 0 73.067 * [backup-simplify]: Simplify 1 into 1 73.068 * [backup-simplify]: Simplify (/ 1 1) into 1 73.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.069 * [backup-simplify]: Simplify 0 into 0 73.069 * [backup-simplify]: Simplify 0 into 0 73.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 73.071 * [backup-simplify]: Simplify (- 0) into 0 73.071 * [backup-simplify]: Simplify (+ 0 0) into 0 73.072 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 a) (/ (- (/ 1 a)) 1)))) into (/ 1 (pow a 2)) 73.072 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 73.072 * [taylor]: Taking taylor expansion of (pow a 2) in a 73.072 * [taylor]: Taking taylor expansion of a in a 73.072 * [backup-simplify]: Simplify 0 into 0 73.072 * [backup-simplify]: Simplify 1 into 1 73.073 * [backup-simplify]: Simplify (* 1 1) into 1 73.073 * [backup-simplify]: Simplify (/ 1 1) into 1 73.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 73.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 73.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 73.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.084 * [backup-simplify]: Simplify 0 into 0 73.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.085 * [backup-simplify]: Simplify 0 into 0 73.085 * [backup-simplify]: Simplify 0 into 0 73.085 * [backup-simplify]: Simplify 0 into 0 73.085 * [backup-simplify]: Simplify (/ (/ 1 (- (/ 1 (- b)) (/ 1 (- a)))) (/ 1 (- b))) into (* -1 (/ b (- (/ 1 a) (/ 1 b)))) 73.085 * [approximate]: Taking taylor expansion of (* -1 (/ b (- (/ 1 a) (/ 1 b)))) in (b a) around 0 73.085 * [taylor]: Taking taylor expansion of (* -1 (/ b (- (/ 1 a) (/ 1 b)))) in a 73.085 * [taylor]: Taking taylor expansion of -1 in a 73.085 * [backup-simplify]: Simplify -1 into -1 73.085 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 a) (/ 1 b))) in a 73.085 * [taylor]: Taking taylor expansion of b in a 73.085 * [backup-simplify]: Simplify b into b 73.085 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 73.085 * [taylor]: Taking taylor expansion of (/ 1 a) in a 73.085 * [taylor]: Taking taylor expansion of a in a 73.085 * [backup-simplify]: Simplify 0 into 0 73.085 * [backup-simplify]: Simplify 1 into 1 73.086 * [backup-simplify]: Simplify (/ 1 1) into 1 73.086 * [taylor]: Taking taylor expansion of (/ 1 b) in a 73.086 * [taylor]: Taking taylor expansion of b in a 73.086 * [backup-simplify]: Simplify b into b 73.086 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 73.086 * [backup-simplify]: Simplify (+ 1 0) into 1 73.086 * [backup-simplify]: Simplify (/ b 1) into b 73.086 * [taylor]: Taking taylor expansion of (* -1 (/ b (- (/ 1 a) (/ 1 b)))) in b 73.086 * [taylor]: Taking taylor expansion of -1 in b 73.086 * [backup-simplify]: Simplify -1 into -1 73.086 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 a) (/ 1 b))) in b 73.086 * [taylor]: Taking taylor expansion of b in b 73.086 * [backup-simplify]: Simplify 0 into 0 73.086 * [backup-simplify]: Simplify 1 into 1 73.086 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 73.086 * [taylor]: Taking taylor expansion of (/ 1 a) in b 73.086 * [taylor]: Taking taylor expansion of a in b 73.086 * [backup-simplify]: Simplify a into a 73.086 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 73.086 * [taylor]: Taking taylor expansion of (/ 1 b) in b 73.086 * [taylor]: Taking taylor expansion of b in b 73.086 * [backup-simplify]: Simplify 0 into 0 73.086 * [backup-simplify]: Simplify 1 into 1 73.087 * [backup-simplify]: Simplify (/ 1 1) into 1 73.087 * [backup-simplify]: Simplify (- 1) into -1 73.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 73.087 * [backup-simplify]: Simplify (/ 1 -1) into -1 73.087 * [taylor]: Taking taylor expansion of (* -1 (/ b (- (/ 1 a) (/ 1 b)))) in b 73.087 * [taylor]: Taking taylor expansion of -1 in b 73.087 * [backup-simplify]: Simplify -1 into -1 73.087 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 a) (/ 1 b))) in b 73.087 * [taylor]: Taking taylor expansion of b in b 73.087 * [backup-simplify]: Simplify 0 into 0 73.088 * [backup-simplify]: Simplify 1 into 1 73.088 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 73.088 * [taylor]: Taking taylor expansion of (/ 1 a) in b 73.088 * [taylor]: Taking taylor expansion of a in b 73.088 * [backup-simplify]: Simplify a into a 73.088 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 73.088 * [taylor]: Taking taylor expansion of (/ 1 b) in b 73.088 * [taylor]: Taking taylor expansion of b in b 73.088 * [backup-simplify]: Simplify 0 into 0 73.088 * [backup-simplify]: Simplify 1 into 1 73.088 * [backup-simplify]: Simplify (/ 1 1) into 1 73.088 * [backup-simplify]: Simplify (- 1) into -1 73.088 * [backup-simplify]: Simplify (+ 0 -1) into -1 73.089 * [backup-simplify]: Simplify (/ 1 -1) into -1 73.089 * [backup-simplify]: Simplify (* -1 -1) into 1 73.089 * [taylor]: Taking taylor expansion of 1 in a 73.089 * [backup-simplify]: Simplify 1 into 1 73.089 * [backup-simplify]: Simplify 0 into 0 73.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.090 * [backup-simplify]: Simplify (- 0) into 0 73.090 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 73.090 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (/ 1 a) -1)))) into (- (/ 1 a)) 73.091 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 a))) (* 0 -1)) into (/ 1 a) 73.091 * [taylor]: Taking taylor expansion of (/ 1 a) in a 73.091 * [taylor]: Taking taylor expansion of a in a 73.091 * [backup-simplify]: Simplify 0 into 0 73.091 * [backup-simplify]: Simplify 1 into 1 73.091 * [backup-simplify]: Simplify (/ 1 1) into 1 73.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.092 * [backup-simplify]: Simplify 0 into 0 73.092 * [backup-simplify]: Simplify 0 into 0 73.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 73.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.093 * [backup-simplify]: Simplify (- 0) into 0 73.093 * [backup-simplify]: Simplify (+ 0 0) into 0 73.094 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 a)) (/ (/ 1 a) -1)))) into (- (/ 1 (pow a 2))) 73.094 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow a 2)))) (+ (* 0 (- (/ 1 a))) (* 0 -1))) into (/ 1 (pow a 2)) 73.094 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 73.094 * [taylor]: Taking taylor expansion of (pow a 2) in a 73.094 * [taylor]: Taking taylor expansion of a in a 73.094 * [backup-simplify]: Simplify 0 into 0 73.094 * [backup-simplify]: Simplify 1 into 1 73.095 * [backup-simplify]: Simplify (* 1 1) into 1 73.095 * [backup-simplify]: Simplify (/ 1 1) into 1 73.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 73.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 73.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 73.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 73.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.098 * [backup-simplify]: Simplify 0 into 0 73.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 73.098 * [backup-simplify]: Simplify 0 into 0 73.099 * [backup-simplify]: Simplify 0 into 0 73.099 * [backup-simplify]: Simplify 0 into 0 73.099 * * * [progress]: simplifying candidates 73.099 * * * * [progress]: [ 1 / 632 ] simplifiying candidate # 73.099 * * * * [progress]: [ 2 / 632 ] simplifiying candidate # 73.099 * * * * [progress]: [ 3 / 632 ] simplifiying candidate # 73.099 * * * * [progress]: [ 4 / 632 ] simplifiying candidate # 73.099 * * * * [progress]: [ 5 / 632 ] simplifiying candidate # 73.099 * * * * [progress]: [ 6 / 632 ] 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[progress]: [ 620 / 632 ] simplifiying candidate #real (real->posit16 (/ (/ 1 (- b a)) b))))))> 73.132 * * * * [progress]: [ 621 / 632 ] simplifiying candidate # 73.132 * * * * [progress]: [ 622 / 632 ] simplifiying candidate # 73.132 * * * * [progress]: [ 623 / 632 ] simplifiying candidate # 73.132 * * * * [progress]: [ 624 / 632 ] simplifiying candidate # 73.132 * * * * [progress]: [ 625 / 632 ] simplifiying candidate # 73.132 * * * * [progress]: [ 626 / 632 ] simplifiying candidate # 73.132 * * * * [progress]: [ 627 / 632 ] simplifiying candidate # 73.132 * * * * [progress]: [ 628 / 632 ] simplifiying candidate # 73.132 * * * * [progress]: [ 629 / 632 ] simplifiying candidate # 73.133 * * * * [progress]: [ 630 / 632 ] simplifiying candidate # 73.133 * * * * [progress]: [ 631 / 632 ] simplifiying candidate # 73.133 * * * * [progress]: [ 632 / 632 ] simplifiying candidate # 73.139 * [simplify]: Simplifying: (expm1 (/ (/ PI 2) (+ a b))) (log1p (/ (/ PI 2) (+ a b))) (- (- (log PI) (log 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b a)))) (/ b (/ (cbrt 1) (- b a))) (/ b (/ (cbrt 1) (- (sqrt b) (sqrt a)))) (/ b (/ (cbrt 1) (- b a))) (/ b (/ (sqrt 1) (cbrt (- b a)))) (/ b (/ (sqrt 1) (sqrt (- b a)))) (/ b (/ (sqrt 1) (- b a))) (/ b (/ (sqrt 1) (- (sqrt b) (sqrt a)))) (/ b (/ (sqrt 1) (- b a))) (/ b (/ 1 (cbrt (- b a)))) (/ b (/ 1 (sqrt (- b a)))) (/ b (/ 1 (- b a))) (/ b (/ 1 (- (sqrt b) (sqrt a)))) (/ b (/ 1 (- b a))) (/ b (/ 1 (- b a))) (/ b (/ 1 (- b a))) (/ b (+ (* b b) (+ (* a a) (* b a)))) (/ b (+ b a)) (* b (- b a)) (real->posit16 (/ (/ 1 (- b a)) b)) 0 0 0 0 0 0 0 0 0 0 0 0 73.152 * * [simplify]: iteration 0: 766 enodes 73.486 * * [simplify]: iteration 1: 2001 enodes 74.074 * * [simplify]: iteration complete: 2001 enodes 74.075 * * [simplify]: Extracting #0: cost 447 inf + 0 74.077 * * [simplify]: Extracting #1: cost 1136 inf + 45 74.081 * * [simplify]: Extracting #2: cost 1169 inf + 2548 74.086 * * [simplify]: Extracting #3: cost 1089 inf + 14913 74.095 * * [simplify]: Extracting #4: cost 877 inf + 59248 74.138 * * [simplify]: Extracting #5: cost 404 inf + 221399 74.191 * * [simplify]: Extracting #6: cost 36 inf + 369334 74.263 * * [simplify]: Extracting #7: cost 0 inf + 386062 74.330 * [simplify]: Simplified to: (expm1 (/ (/ PI 2) (+ a b))) (log1p (/ (/ PI 2) (+ a b))) (log (/ (/ PI 2) (+ a b))) (log (/ (/ PI 2) (+ a b))) (log (/ (/ PI 2) (+ a b))) (exp (/ (/ PI 2) (+ a b))) (/ (/ (/ (* (* PI PI) PI) (* 2 (* 2 2))) (* (+ a b) (+ a b))) (+ a b)) (/ (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (+ a b) (+ a b))) (+ a b)) (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (cbrt (/ (/ PI 2) (+ a b))) (* (/ (/ PI 2) (+ a b)) (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b)))) (sqrt (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (/ (- PI) 2) (- (+ a b)) (* (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (cbrt (/ PI 2)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ 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(sqrt b)) (/ (/ (cbrt 1) (cbrt (- b a))) (sqrt b)) (* (/ (cbrt 1) (cbrt (- b a))) (/ (cbrt 1) (cbrt (- b a)))) (/ (cbrt 1) (* b (cbrt (- b a)))) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (- b a))) (* (cbrt b) (cbrt b))) (/ (/ (cbrt 1) (sqrt (- b a))) (cbrt b)) (/ (/ (* (cbrt 1) (cbrt 1)) (sqrt (- b a))) (sqrt b)) (/ (/ (cbrt 1) (sqrt (- b a))) (sqrt b)) (/ (* (cbrt 1) (cbrt 1)) (sqrt (- b a))) (/ (/ (cbrt 1) (sqrt (- b a))) b) (/ (/ (* (cbrt 1) (cbrt 1)) (cbrt b)) (cbrt b)) (/ (/ (cbrt 1) (- b a)) (cbrt b)) (/ (* (cbrt 1) (cbrt 1)) (sqrt b)) (/ (/ (cbrt 1) (- b a)) (sqrt b)) (* (cbrt 1) (cbrt 1)) (/ (cbrt 1) (* b (- b a))) (/ (/ (/ (cbrt 1) (/ (+ (sqrt b) (sqrt a)) (cbrt 1))) (cbrt b)) (cbrt b)) (/ (/ (cbrt 1) (- (sqrt b) (sqrt a))) (cbrt b)) (/ (/ (cbrt 1) (/ (+ (sqrt b) (sqrt a)) (cbrt 1))) (sqrt b)) (/ (/ (cbrt 1) (- (sqrt b) (sqrt a))) (sqrt b)) (/ (cbrt 1) (/ (+ (sqrt b) (sqrt a)) (cbrt 1))) (/ (/ (cbrt 1) (- (sqrt b) (sqrt a))) b) (/ (/ (* (cbrt 1) (cbrt 1)) (cbrt b)) (cbrt b)) (/ (/ 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(/ (/ (sqrt 1) (- (sqrt b) (sqrt a))) (sqrt b)) (/ (sqrt 1) (+ (sqrt b) (sqrt a))) (/ (/ (sqrt 1) (- (sqrt b) (sqrt a))) b) (/ (sqrt 1) (* (cbrt b) (cbrt b))) (/ (/ (sqrt 1) (- b a)) (cbrt b)) (/ (sqrt 1) (sqrt b)) (/ (/ (sqrt 1) (- b a)) (sqrt b)) (sqrt 1) (/ (/ (sqrt 1) (- b a)) b) (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (* (cbrt b) (cbrt b))) (/ (/ 1 (cbrt (- b a))) (cbrt b)) (/ (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (sqrt b)) (/ (/ 1 (cbrt (- b a))) (sqrt b)) (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) (/ (/ 1 (cbrt (- b a))) b) (/ (/ 1 (sqrt (- b a))) (* (cbrt b) (cbrt b))) (/ (/ 1 (sqrt (- b a))) (cbrt b)) (/ (/ 1 (sqrt (- b a))) (sqrt b)) (/ (/ 1 (sqrt (- b a))) (sqrt b)) (/ 1 (sqrt (- b a))) (/ (/ 1 (sqrt (- b a))) b) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ 1 (- b a)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ 1 (- b a)) (sqrt b)) 1 (/ (/ 1 (- b a)) b) (/ (/ 1 (+ (sqrt b) (sqrt a))) (* (cbrt b) (cbrt b))) (/ (/ 1 (- (sqrt b) (sqrt a))) (cbrt b)) (/ (/ 1 (+ (sqrt b) (sqrt a))) (sqrt b)) (/ (/ 1 (- (sqrt b) (sqrt a))) (sqrt b)) (/ 1 (+ (sqrt b) (sqrt a))) (/ (/ 1 (- (sqrt b) (sqrt a))) b) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ 1 (- b a)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ 1 (- b a)) (sqrt b)) 1 (/ (/ 1 (- b a)) b) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ 1 (- b a)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ 1 (- b a)) (sqrt b)) 1 (/ (/ 1 (- b a)) b) (/ (/ 1 (cbrt b)) (cbrt b)) (/ (/ 1 (- b a)) (cbrt b)) (/ 1 (sqrt b)) (/ (/ 1 (- b a)) (sqrt b)) 1 (/ (/ 1 (- b a)) b) (/ (/ (/ 1 (- (* (* b b) b) (* a (* a a)))) (cbrt b)) (cbrt b)) (/ (fma b b (* a (+ a b))) (cbrt b)) (/ (/ 1 (- (* (* b b) b) (* a (* a a)))) (sqrt b)) (/ (fma b b (* a (+ a b))) (sqrt b)) (/ 1 (- (* (* b b) b) (* a (* a a)))) (/ (fma b b (* a (+ a b))) b) (/ (/ 1 (- (* b b) (* a a))) (* (cbrt b) (cbrt b))) (/ (+ b a) (cbrt b)) (/ (/ 1 (- (* b b) (* a a))) (sqrt b)) (/ (+ b a) (sqrt b)) (/ 1 (- (* b b) (* a a))) (/ (+ b a) b) (/ 1 b) (* (/ b 1) (- b a)) (/ (/ 1 (- b a)) (* (cbrt b) (cbrt b))) (/ (/ 1 (- b a)) (sqrt b)) (/ 1 (- b a)) (/ b (cbrt (/ 1 (- b a)))) (/ b (sqrt (/ 1 (- b a)))) (/ b (/ (cbrt 1) (cbrt (- b a)))) (/ b (/ (cbrt 1) (sqrt (- b a)))) (/ b (/ (cbrt 1) (- b a))) (/ b (/ (cbrt 1) (- (sqrt b) (sqrt a)))) (/ b (/ (cbrt 1) (- b a))) (/ b (/ (sqrt 1) (cbrt (- b a)))) (* (/ b (sqrt 1)) (sqrt (- b a))) (* (/ b (sqrt 1)) (- b a)) (* (/ b (sqrt 1)) (- (sqrt b) (sqrt a))) (* (/ b (sqrt 1)) (- b a)) (* (/ b 1) (cbrt (- b a))) (* (/ b 1) (sqrt (- b a))) (* (/ b 1) (- b a)) (* (/ b 1) (- (sqrt b) (sqrt a))) (* (/ b 1) (- b a)) (* (/ b 1) (- b a)) (* (/ b 1) (- b a)) (/ b (fma b b (* a (+ a b)))) (/ b (+ b a)) (* b (- b a)) (real->posit16 (/ (/ 1 (- b a)) b)) 0 0 0 0 0 0 0 0 0 0 0 0 74.417 * * * [progress]: adding candidates to table 82.239 * * [progress]: iteration 4 / 4 82.239 * * * [progress]: picking best candidate 82.326 * * * * [pick]: Picked # 82.326 * * * [progress]: localizing error 82.372 * * * [progress]: generating rewritten candidates 82.372 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 82.396 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1) 82.423 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1) 82.440 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 82.547 * * * [progress]: generating series expansions 82.547 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 82.547 * [backup-simplify]: Simplify (/ 1 (* b (- b a))) into (/ 1 (* (- b a) b)) 82.547 * [approximate]: Taking taylor expansion of (/ 1 (* (- b a) b)) in (b a) around 0 82.547 * [taylor]: Taking taylor expansion of (/ 1 (* (- b a) b)) in a 82.547 * [taylor]: Taking taylor expansion of (* (- b a) b) in a 82.548 * [taylor]: Taking taylor expansion of (- b a) in a 82.548 * [taylor]: Taking taylor expansion of b in a 82.548 * [backup-simplify]: Simplify b into b 82.548 * [taylor]: Taking taylor expansion of a in a 82.548 * [backup-simplify]: Simplify 0 into 0 82.548 * [backup-simplify]: Simplify 1 into 1 82.548 * [taylor]: Taking taylor expansion of b in a 82.548 * [backup-simplify]: Simplify b into b 82.548 * [backup-simplify]: Simplify (- 0) into 0 82.548 * [backup-simplify]: Simplify (+ b 0) into b 82.548 * [backup-simplify]: Simplify (* b b) into (pow b 2) 82.549 * [backup-simplify]: Simplify (/ 1 (pow b 2)) into (/ 1 (pow b 2)) 82.549 * [taylor]: Taking taylor expansion of (/ 1 (* (- b a) b)) in b 82.549 * [taylor]: Taking taylor expansion of (* (- b a) b) in b 82.549 * [taylor]: Taking taylor expansion of (- b a) in b 82.549 * [taylor]: Taking taylor expansion of b in b 82.549 * [backup-simplify]: Simplify 0 into 0 82.549 * [backup-simplify]: Simplify 1 into 1 82.549 * [taylor]: Taking taylor expansion of a in b 82.549 * [backup-simplify]: Simplify a into a 82.549 * [taylor]: Taking taylor expansion of b in b 82.549 * [backup-simplify]: Simplify 0 into 0 82.549 * [backup-simplify]: Simplify 1 into 1 82.549 * [backup-simplify]: Simplify (- a) into (- a) 82.549 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 82.549 * [backup-simplify]: Simplify (* (- a) 0) into 0 82.549 * [backup-simplify]: Simplify (- 0) into 0 82.550 * [backup-simplify]: Simplify (+ 1 0) into 1 82.550 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 0)) into (- a) 82.550 * [backup-simplify]: Simplify (/ 1 (- a)) into (/ -1 a) 82.550 * [taylor]: Taking taylor expansion of (/ 1 (* (- b a) b)) in b 82.550 * [taylor]: Taking taylor expansion of (* (- b a) b) in b 82.550 * [taylor]: Taking taylor expansion of (- b a) in b 82.550 * [taylor]: Taking taylor expansion of b in b 82.550 * [backup-simplify]: Simplify 0 into 0 82.550 * [backup-simplify]: Simplify 1 into 1 82.550 * [taylor]: Taking taylor expansion of a in b 82.550 * [backup-simplify]: Simplify a into a 82.550 * [taylor]: Taking taylor expansion of b in b 82.550 * [backup-simplify]: Simplify 0 into 0 82.550 * [backup-simplify]: Simplify 1 into 1 82.550 * [backup-simplify]: Simplify (- a) into (- a) 82.551 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 82.551 * [backup-simplify]: Simplify (* (- a) 0) into 0 82.551 * [backup-simplify]: Simplify (- 0) into 0 82.551 * [backup-simplify]: Simplify (+ 1 0) into 1 82.552 * [backup-simplify]: Simplify (+ (* (- a) 1) (* 1 0)) into (- a) 82.552 * [backup-simplify]: Simplify (/ 1 (- a)) into (/ -1 a) 82.552 * [taylor]: Taking taylor expansion of (/ -1 a) in a 82.552 * [taylor]: Taking taylor expansion of -1 in a 82.552 * [backup-simplify]: Simplify -1 into -1 82.552 * [taylor]: Taking taylor expansion of a in a 82.552 * [backup-simplify]: Simplify 0 into 0 82.552 * [backup-simplify]: Simplify 1 into 1 82.552 * [backup-simplify]: Simplify (/ -1 1) into -1 82.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 82.553 * [backup-simplify]: Simplify 0 into 0 82.554 * [backup-simplify]: Simplify (- 0) into 0 82.554 * [backup-simplify]: Simplify (+ 0 0) into 0 82.554 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 0))) into 1 82.555 * [backup-simplify]: Simplify (- (+ (* (/ -1 a) (/ 1 (- a))))) into (- (/ 1 (pow a 2))) 82.555 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 2))) in a 82.555 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 82.555 * [taylor]: Taking taylor expansion of (pow a 2) in a 82.555 * [taylor]: Taking taylor expansion of a in a 82.555 * [backup-simplify]: Simplify 0 into 0 82.555 * [backup-simplify]: Simplify 1 into 1 82.555 * [backup-simplify]: Simplify (* 1 1) into 1 82.555 * [backup-simplify]: Simplify (/ 1 1) into 1 82.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.557 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.558 * [backup-simplify]: Simplify (- 0) into 0 82.558 * [backup-simplify]: Simplify 0 into 0 82.559 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.559 * [backup-simplify]: Simplify 0 into 0 82.560 * [backup-simplify]: Simplify (- 0) into 0 82.560 * [backup-simplify]: Simplify (+ 0 0) into 0 82.561 * [backup-simplify]: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 82.561 * [backup-simplify]: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* (- (/ 1 (pow a 2))) (/ 1 (- a))))) into (- (/ 1 (pow a 3))) 82.561 * [taylor]: Taking taylor expansion of (- (/ 1 (pow a 3))) in a 82.561 * [taylor]: Taking taylor expansion of (/ 1 (pow a 3)) in a 82.561 * [taylor]: Taking taylor expansion of (pow a 3) in a 82.561 * [taylor]: Taking taylor expansion of a in a 82.561 * [backup-simplify]: Simplify 0 into 0 82.561 * [backup-simplify]: Simplify 1 into 1 82.562 * [backup-simplify]: Simplify (* 1 1) into 1 82.562 * [backup-simplify]: Simplify (* 1 1) into 1 82.562 * [backup-simplify]: Simplify (/ 1 1) into 1 82.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.569 * [backup-simplify]: Simplify (- 0) into 0 82.569 * [backup-simplify]: Simplify 0 into 0 82.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.571 * [backup-simplify]: Simplify (- 0) into 0 82.571 * [backup-simplify]: Simplify 0 into 0 82.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.572 * [backup-simplify]: Simplify 0 into 0 82.572 * [backup-simplify]: Simplify 0 into 0 82.572 * [backup-simplify]: Simplify (/ 1 (* (/ 1 b) (- (/ 1 b) (/ 1 a)))) into (/ b (- (/ 1 b) (/ 1 a))) 82.572 * [approximate]: Taking taylor expansion of (/ b (- (/ 1 b) (/ 1 a))) in (b a) around 0 82.572 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 b) (/ 1 a))) in a 82.572 * [taylor]: Taking taylor expansion of b in a 82.572 * [backup-simplify]: Simplify b into b 82.572 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 82.573 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.573 * [taylor]: Taking taylor expansion of b in a 82.573 * [backup-simplify]: Simplify b into b 82.573 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.573 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.573 * [taylor]: Taking taylor expansion of a in a 82.573 * [backup-simplify]: Simplify 0 into 0 82.573 * [backup-simplify]: Simplify 1 into 1 82.573 * [backup-simplify]: Simplify (/ 1 1) into 1 82.573 * [backup-simplify]: Simplify (- 1) into -1 82.574 * [backup-simplify]: Simplify (+ 0 -1) into -1 82.574 * [backup-simplify]: Simplify (/ b -1) into (* -1 b) 82.574 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 b) (/ 1 a))) in b 82.574 * [taylor]: Taking taylor expansion of b in b 82.574 * [backup-simplify]: Simplify 0 into 0 82.574 * [backup-simplify]: Simplify 1 into 1 82.574 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 82.574 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.574 * [taylor]: Taking taylor expansion of b in b 82.574 * [backup-simplify]: Simplify 0 into 0 82.574 * [backup-simplify]: Simplify 1 into 1 82.574 * [backup-simplify]: Simplify (/ 1 1) into 1 82.574 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.574 * [taylor]: Taking taylor expansion of a in b 82.574 * [backup-simplify]: Simplify a into a 82.574 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.575 * [backup-simplify]: Simplify (+ 1 0) into 1 82.575 * [backup-simplify]: Simplify (/ 1 1) into 1 82.575 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 b) (/ 1 a))) in b 82.575 * [taylor]: Taking taylor expansion of b in b 82.575 * [backup-simplify]: Simplify 0 into 0 82.575 * [backup-simplify]: Simplify 1 into 1 82.575 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 82.575 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.575 * [taylor]: Taking taylor expansion of b in b 82.575 * [backup-simplify]: Simplify 0 into 0 82.575 * [backup-simplify]: Simplify 1 into 1 82.576 * [backup-simplify]: Simplify (/ 1 1) into 1 82.576 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.576 * [taylor]: Taking taylor expansion of a in b 82.576 * [backup-simplify]: Simplify a into a 82.576 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.576 * [backup-simplify]: Simplify (+ 1 0) into 1 82.576 * [backup-simplify]: Simplify (/ 1 1) into 1 82.577 * [taylor]: Taking taylor expansion of 1 in a 82.577 * [backup-simplify]: Simplify 1 into 1 82.577 * [backup-simplify]: Simplify 0 into 0 82.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.577 * [backup-simplify]: Simplify (- (/ 1 a)) into (- (/ 1 a)) 82.577 * [backup-simplify]: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) 82.578 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 a)) 1)))) into (/ 1 a) 82.578 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.578 * [taylor]: Taking taylor expansion of a in a 82.578 * [backup-simplify]: Simplify 0 into 0 82.578 * [backup-simplify]: Simplify 1 into 1 82.578 * [backup-simplify]: Simplify (/ 1 1) into 1 82.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.580 * [backup-simplify]: Simplify 0 into 0 82.580 * [backup-simplify]: Simplify 0 into 0 82.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.581 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 82.581 * [backup-simplify]: Simplify (- 0) into 0 82.581 * [backup-simplify]: Simplify (+ 0 0) into 0 82.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 a) (/ (- (/ 1 a)) 1)))) into (/ 1 (pow a 2)) 82.582 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 82.582 * [taylor]: Taking taylor expansion of (pow a 2) in a 82.582 * [taylor]: Taking taylor expansion of a in a 82.582 * [backup-simplify]: Simplify 0 into 0 82.582 * [backup-simplify]: Simplify 1 into 1 82.582 * [backup-simplify]: Simplify (* 1 1) into 1 82.583 * [backup-simplify]: Simplify (/ 1 1) into 1 82.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.588 * [backup-simplify]: Simplify 0 into 0 82.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.589 * [backup-simplify]: Simplify 0 into 0 82.589 * [backup-simplify]: Simplify 0 into 0 82.589 * [backup-simplify]: Simplify 0 into 0 82.589 * [backup-simplify]: Simplify (/ 1 (* (/ 1 (- b)) (- (/ 1 (- b)) (/ 1 (- a))))) into (* -1 (/ b (- (/ 1 a) (/ 1 b)))) 82.589 * [approximate]: Taking taylor expansion of (* -1 (/ b (- (/ 1 a) (/ 1 b)))) in (b a) around 0 82.589 * [taylor]: Taking taylor expansion of (* -1 (/ b (- (/ 1 a) (/ 1 b)))) in a 82.589 * [taylor]: Taking taylor expansion of -1 in a 82.589 * [backup-simplify]: Simplify -1 into -1 82.589 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 a) (/ 1 b))) in a 82.589 * [taylor]: Taking taylor expansion of b in a 82.589 * [backup-simplify]: Simplify b into b 82.589 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 82.589 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.589 * [taylor]: Taking taylor expansion of a in a 82.589 * [backup-simplify]: Simplify 0 into 0 82.589 * [backup-simplify]: Simplify 1 into 1 82.589 * [backup-simplify]: Simplify (/ 1 1) into 1 82.589 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.589 * [taylor]: Taking taylor expansion of b in a 82.590 * [backup-simplify]: Simplify b into b 82.590 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.590 * [backup-simplify]: Simplify (+ 1 0) into 1 82.590 * [backup-simplify]: Simplify (/ b 1) into b 82.590 * [taylor]: Taking taylor expansion of (* -1 (/ b (- (/ 1 a) (/ 1 b)))) in b 82.590 * [taylor]: Taking taylor expansion of -1 in b 82.590 * [backup-simplify]: Simplify -1 into -1 82.590 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 a) (/ 1 b))) in b 82.590 * [taylor]: Taking taylor expansion of b in b 82.590 * [backup-simplify]: Simplify 0 into 0 82.590 * [backup-simplify]: Simplify 1 into 1 82.590 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 82.590 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.590 * [taylor]: Taking taylor expansion of a in b 82.590 * [backup-simplify]: Simplify a into a 82.590 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.590 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.590 * [taylor]: Taking taylor expansion of b in b 82.590 * [backup-simplify]: Simplify 0 into 0 82.590 * [backup-simplify]: Simplify 1 into 1 82.591 * [backup-simplify]: Simplify (/ 1 1) into 1 82.591 * [backup-simplify]: Simplify (- 1) into -1 82.591 * [backup-simplify]: Simplify (+ 0 -1) into -1 82.592 * [backup-simplify]: Simplify (/ 1 -1) into -1 82.592 * [taylor]: Taking taylor expansion of (* -1 (/ b (- (/ 1 a) (/ 1 b)))) in b 82.592 * [taylor]: Taking taylor expansion of -1 in b 82.592 * [backup-simplify]: Simplify -1 into -1 82.592 * [taylor]: Taking taylor expansion of (/ b (- (/ 1 a) (/ 1 b))) in b 82.592 * [taylor]: Taking taylor expansion of b in b 82.592 * [backup-simplify]: Simplify 0 into 0 82.592 * [backup-simplify]: Simplify 1 into 1 82.592 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 82.592 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.592 * [taylor]: Taking taylor expansion of a in b 82.592 * [backup-simplify]: Simplify a into a 82.592 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.592 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.592 * [taylor]: Taking taylor expansion of b in b 82.592 * [backup-simplify]: Simplify 0 into 0 82.592 * [backup-simplify]: Simplify 1 into 1 82.593 * [backup-simplify]: Simplify (/ 1 1) into 1 82.593 * [backup-simplify]: Simplify (- 1) into -1 82.593 * [backup-simplify]: Simplify (+ 0 -1) into -1 82.594 * [backup-simplify]: Simplify (/ 1 -1) into -1 82.603 * [backup-simplify]: Simplify (* -1 -1) into 1 82.603 * [taylor]: Taking taylor expansion of 1 in a 82.603 * [backup-simplify]: Simplify 1 into 1 82.603 * [backup-simplify]: Simplify 0 into 0 82.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.605 * [backup-simplify]: Simplify (- 0) into 0 82.605 * [backup-simplify]: Simplify (+ (/ 1 a) 0) into (/ 1 a) 82.605 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (/ 1 a) -1)))) into (- (/ 1 a)) 82.606 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 a))) (* 0 -1)) into (/ 1 a) 82.606 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.606 * [taylor]: Taking taylor expansion of a in a 82.606 * [backup-simplify]: Simplify 0 into 0 82.606 * [backup-simplify]: Simplify 1 into 1 82.606 * [backup-simplify]: Simplify (/ 1 1) into 1 82.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.608 * [backup-simplify]: Simplify 0 into 0 82.608 * [backup-simplify]: Simplify 0 into 0 82.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 82.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.609 * [backup-simplify]: Simplify (- 0) into 0 82.609 * [backup-simplify]: Simplify (+ 0 0) into 0 82.610 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 a)) (/ (/ 1 a) -1)))) into (- (/ 1 (pow a 2))) 82.611 * [backup-simplify]: Simplify (+ (* -1 (- (/ 1 (pow a 2)))) (+ (* 0 (- (/ 1 a))) (* 0 -1))) into (/ 1 (pow a 2)) 82.611 * [taylor]: Taking taylor expansion of (/ 1 (pow a 2)) in a 82.611 * [taylor]: Taking taylor expansion of (pow a 2) in a 82.611 * [taylor]: Taking taylor expansion of a in a 82.611 * [backup-simplify]: Simplify 0 into 0 82.611 * [backup-simplify]: Simplify 1 into 1 82.611 * [backup-simplify]: Simplify (* 1 1) into 1 82.612 * [backup-simplify]: Simplify (/ 1 1) into 1 82.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.616 * [backup-simplify]: Simplify 0 into 0 82.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.617 * [backup-simplify]: Simplify 0 into 0 82.617 * [backup-simplify]: Simplify 0 into 0 82.617 * [backup-simplify]: Simplify 0 into 0 82.617 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1) 82.618 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 82.618 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 82.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 82.618 * [taylor]: Taking taylor expansion of 1/2 in b 82.618 * [backup-simplify]: Simplify 1/2 into 1/2 82.618 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 82.618 * [taylor]: Taking taylor expansion of PI in b 82.618 * [backup-simplify]: Simplify PI into PI 82.618 * [taylor]: Taking taylor expansion of (+ a b) in b 82.618 * [taylor]: Taking taylor expansion of a in b 82.618 * [backup-simplify]: Simplify a into a 82.618 * [taylor]: Taking taylor expansion of b in b 82.618 * [backup-simplify]: Simplify 0 into 0 82.618 * [backup-simplify]: Simplify 1 into 1 82.618 * [backup-simplify]: Simplify (+ a 0) into a 82.618 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 82.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 82.618 * [taylor]: Taking taylor expansion of 1/2 in a 82.618 * [backup-simplify]: Simplify 1/2 into 1/2 82.618 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 82.618 * [taylor]: Taking taylor expansion of PI in a 82.618 * [backup-simplify]: Simplify PI into PI 82.618 * [taylor]: Taking taylor expansion of (+ a b) in a 82.618 * [taylor]: Taking taylor expansion of a in a 82.618 * [backup-simplify]: Simplify 0 into 0 82.618 * [backup-simplify]: Simplify 1 into 1 82.618 * [taylor]: Taking taylor expansion of b in a 82.618 * [backup-simplify]: Simplify b into b 82.618 * [backup-simplify]: Simplify (+ 0 b) into b 82.618 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 82.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 82.619 * [taylor]: Taking taylor expansion of 1/2 in a 82.619 * [backup-simplify]: Simplify 1/2 into 1/2 82.619 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 82.619 * [taylor]: Taking taylor expansion of PI in a 82.619 * [backup-simplify]: Simplify PI into PI 82.619 * [taylor]: Taking taylor expansion of (+ a b) in a 82.619 * [taylor]: Taking taylor expansion of a in a 82.619 * [backup-simplify]: Simplify 0 into 0 82.619 * [backup-simplify]: Simplify 1 into 1 82.619 * [taylor]: Taking taylor expansion of b in a 82.619 * [backup-simplify]: Simplify b into b 82.619 * [backup-simplify]: Simplify (+ 0 b) into b 82.619 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 82.619 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 82.619 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 82.619 * [taylor]: Taking taylor expansion of 1/2 in b 82.619 * [backup-simplify]: Simplify 1/2 into 1/2 82.619 * [taylor]: Taking taylor expansion of (/ PI b) in b 82.619 * [taylor]: Taking taylor expansion of PI in b 82.619 * [backup-simplify]: Simplify PI into PI 82.619 * [taylor]: Taking taylor expansion of b in b 82.619 * [backup-simplify]: Simplify 0 into 0 82.619 * [backup-simplify]: Simplify 1 into 1 82.620 * [backup-simplify]: Simplify (/ PI 1) into PI 82.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.621 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 82.621 * [backup-simplify]: Simplify 0 into 0 82.621 * [backup-simplify]: Simplify (+ 1 0) into 1 82.622 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 82.622 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 82.622 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 82.622 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 82.622 * [taylor]: Taking taylor expansion of 1/2 in b 82.622 * [backup-simplify]: Simplify 1/2 into 1/2 82.622 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 82.622 * [taylor]: Taking taylor expansion of PI in b 82.622 * [backup-simplify]: Simplify PI into PI 82.622 * [taylor]: Taking taylor expansion of (pow b 2) in b 82.622 * [taylor]: Taking taylor expansion of b in b 82.622 * [backup-simplify]: Simplify 0 into 0 82.622 * [backup-simplify]: Simplify 1 into 1 82.622 * [backup-simplify]: Simplify (* 1 1) into 1 82.623 * [backup-simplify]: Simplify (/ PI 1) into PI 82.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.626 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.627 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.627 * [backup-simplify]: Simplify (- 0) into 0 82.627 * [backup-simplify]: Simplify 0 into 0 82.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.629 * [backup-simplify]: Simplify 0 into 0 82.629 * [backup-simplify]: Simplify (+ 0 0) into 0 82.629 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 82.630 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 82.630 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 82.630 * [taylor]: Taking taylor expansion of 1/2 in b 82.630 * [backup-simplify]: Simplify 1/2 into 1/2 82.630 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 82.630 * [taylor]: Taking taylor expansion of PI in b 82.630 * [backup-simplify]: Simplify PI into PI 82.630 * [taylor]: Taking taylor expansion of (pow b 3) in b 82.630 * [taylor]: Taking taylor expansion of b in b 82.630 * [backup-simplify]: Simplify 0 into 0 82.630 * [backup-simplify]: Simplify 1 into 1 82.630 * [backup-simplify]: Simplify (* 1 1) into 1 82.630 * [backup-simplify]: Simplify (* 1 1) into 1 82.631 * [backup-simplify]: Simplify (/ PI 1) into PI 82.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.640 * [backup-simplify]: Simplify 0 into 0 82.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.642 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.643 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.643 * [backup-simplify]: Simplify (- 0) into 0 82.643 * [backup-simplify]: Simplify 0 into 0 82.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.645 * [backup-simplify]: Simplify 0 into 0 82.645 * [backup-simplify]: Simplify 0 into 0 82.646 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 82.646 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 82.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 82.646 * [taylor]: Taking taylor expansion of 1/2 in b 82.646 * [backup-simplify]: Simplify 1/2 into 1/2 82.646 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 82.646 * [taylor]: Taking taylor expansion of PI in b 82.646 * [backup-simplify]: Simplify PI into PI 82.646 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 82.646 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.646 * [taylor]: Taking taylor expansion of a in b 82.646 * [backup-simplify]: Simplify a into a 82.646 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.646 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.646 * [taylor]: Taking taylor expansion of b in b 82.646 * [backup-simplify]: Simplify 0 into 0 82.646 * [backup-simplify]: Simplify 1 into 1 82.646 * [backup-simplify]: Simplify (/ 1 1) into 1 82.647 * [backup-simplify]: Simplify (+ 0 1) into 1 82.647 * [backup-simplify]: Simplify (/ PI 1) into PI 82.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 82.647 * [taylor]: Taking taylor expansion of 1/2 in a 82.647 * [backup-simplify]: Simplify 1/2 into 1/2 82.647 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 82.647 * [taylor]: Taking taylor expansion of PI in a 82.647 * [backup-simplify]: Simplify PI into PI 82.647 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.647 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.647 * [taylor]: Taking taylor expansion of a in a 82.647 * [backup-simplify]: Simplify 0 into 0 82.647 * [backup-simplify]: Simplify 1 into 1 82.648 * [backup-simplify]: Simplify (/ 1 1) into 1 82.648 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.648 * [taylor]: Taking taylor expansion of b in a 82.648 * [backup-simplify]: Simplify b into b 82.648 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.648 * [backup-simplify]: Simplify (+ 1 0) into 1 82.649 * [backup-simplify]: Simplify (/ PI 1) into PI 82.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 82.649 * [taylor]: Taking taylor expansion of 1/2 in a 82.649 * [backup-simplify]: Simplify 1/2 into 1/2 82.649 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 82.649 * [taylor]: Taking taylor expansion of PI in a 82.649 * [backup-simplify]: Simplify PI into PI 82.649 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.649 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.649 * [taylor]: Taking taylor expansion of a in a 82.649 * [backup-simplify]: Simplify 0 into 0 82.649 * [backup-simplify]: Simplify 1 into 1 82.649 * [backup-simplify]: Simplify (/ 1 1) into 1 82.649 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.649 * [taylor]: Taking taylor expansion of b in a 82.649 * [backup-simplify]: Simplify b into b 82.649 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.650 * [backup-simplify]: Simplify (+ 1 0) into 1 82.650 * [backup-simplify]: Simplify (/ PI 1) into PI 82.651 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 82.651 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 82.651 * [taylor]: Taking taylor expansion of 1/2 in b 82.651 * [backup-simplify]: Simplify 1/2 into 1/2 82.651 * [taylor]: Taking taylor expansion of PI in b 82.651 * [backup-simplify]: Simplify PI into PI 82.651 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 82.652 * [backup-simplify]: Simplify 0 into 0 82.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.652 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 82.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 82.653 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 82.653 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 82.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 82.653 * [taylor]: Taking taylor expansion of 1/2 in b 82.653 * [backup-simplify]: Simplify 1/2 into 1/2 82.653 * [taylor]: Taking taylor expansion of (/ PI b) in b 82.653 * [taylor]: Taking taylor expansion of PI in b 82.653 * [backup-simplify]: Simplify PI into PI 82.653 * [taylor]: Taking taylor expansion of b in b 82.654 * [backup-simplify]: Simplify 0 into 0 82.654 * [backup-simplify]: Simplify 1 into 1 82.654 * [backup-simplify]: Simplify (/ PI 1) into PI 82.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.657 * [backup-simplify]: Simplify (- 0) into 0 82.657 * [backup-simplify]: Simplify 0 into 0 82.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.658 * [backup-simplify]: Simplify 0 into 0 82.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 82.659 * [backup-simplify]: Simplify (+ 0 0) into 0 82.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 82.661 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 82.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 82.661 * [taylor]: Taking taylor expansion of 1/2 in b 82.661 * [backup-simplify]: Simplify 1/2 into 1/2 82.661 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 82.661 * [taylor]: Taking taylor expansion of PI in b 82.661 * [backup-simplify]: Simplify PI into PI 82.661 * [taylor]: Taking taylor expansion of (pow b 2) in b 82.661 * [taylor]: Taking taylor expansion of b in b 82.661 * [backup-simplify]: Simplify 0 into 0 82.661 * [backup-simplify]: Simplify 1 into 1 82.661 * [backup-simplify]: Simplify (* 1 1) into 1 82.662 * [backup-simplify]: Simplify (/ PI 1) into PI 82.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.666 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.667 * [backup-simplify]: Simplify 0 into 0 82.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.669 * [backup-simplify]: Simplify (- 0) into 0 82.669 * [backup-simplify]: Simplify 0 into 0 82.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.670 * [backup-simplify]: Simplify 0 into 0 82.670 * [backup-simplify]: Simplify 0 into 0 82.671 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 82.671 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 82.671 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 82.671 * [taylor]: Taking taylor expansion of -1/2 in b 82.671 * [backup-simplify]: Simplify -1/2 into -1/2 82.671 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 82.671 * [taylor]: Taking taylor expansion of PI in b 82.671 * [backup-simplify]: Simplify PI into PI 82.671 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 82.671 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.671 * [taylor]: Taking taylor expansion of a in b 82.671 * [backup-simplify]: Simplify a into a 82.671 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.671 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.671 * [taylor]: Taking taylor expansion of b in b 82.671 * [backup-simplify]: Simplify 0 into 0 82.671 * [backup-simplify]: Simplify 1 into 1 82.672 * [backup-simplify]: Simplify (/ 1 1) into 1 82.672 * [backup-simplify]: Simplify (+ 0 1) into 1 82.672 * [backup-simplify]: Simplify (/ PI 1) into PI 82.672 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 82.673 * [taylor]: Taking taylor expansion of -1/2 in a 82.673 * [backup-simplify]: Simplify -1/2 into -1/2 82.673 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 82.673 * [taylor]: Taking taylor expansion of PI in a 82.673 * [backup-simplify]: Simplify PI into PI 82.673 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.673 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.673 * [taylor]: Taking taylor expansion of a in a 82.673 * [backup-simplify]: Simplify 0 into 0 82.673 * [backup-simplify]: Simplify 1 into 1 82.673 * [backup-simplify]: Simplify (/ 1 1) into 1 82.673 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.673 * [taylor]: Taking taylor expansion of b in a 82.673 * [backup-simplify]: Simplify b into b 82.673 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.674 * [backup-simplify]: Simplify (+ 1 0) into 1 82.674 * [backup-simplify]: Simplify (/ PI 1) into PI 82.674 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 82.674 * [taylor]: Taking taylor expansion of -1/2 in a 82.674 * [backup-simplify]: Simplify -1/2 into -1/2 82.674 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 82.674 * [taylor]: Taking taylor expansion of PI in a 82.674 * [backup-simplify]: Simplify PI into PI 82.674 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.674 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.674 * [taylor]: Taking taylor expansion of a in a 82.674 * [backup-simplify]: Simplify 0 into 0 82.674 * [backup-simplify]: Simplify 1 into 1 82.675 * [backup-simplify]: Simplify (/ 1 1) into 1 82.675 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.675 * [taylor]: Taking taylor expansion of b in a 82.675 * [backup-simplify]: Simplify b into b 82.675 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.675 * [backup-simplify]: Simplify (+ 1 0) into 1 82.675 * [backup-simplify]: Simplify (/ PI 1) into PI 82.676 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 82.676 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 82.676 * [taylor]: Taking taylor expansion of -1/2 in b 82.676 * [backup-simplify]: Simplify -1/2 into -1/2 82.676 * [taylor]: Taking taylor expansion of PI in b 82.676 * [backup-simplify]: Simplify PI into PI 82.677 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 82.677 * [backup-simplify]: Simplify 0 into 0 82.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.677 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 82.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 82.678 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 82.678 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 82.679 * [taylor]: Taking taylor expansion of 1/2 in b 82.679 * [backup-simplify]: Simplify 1/2 into 1/2 82.679 * [taylor]: Taking taylor expansion of (/ PI b) in b 82.679 * [taylor]: Taking taylor expansion of PI in b 82.679 * [backup-simplify]: Simplify PI into PI 82.679 * [taylor]: Taking taylor expansion of b in b 82.679 * [backup-simplify]: Simplify 0 into 0 82.679 * [backup-simplify]: Simplify 1 into 1 82.679 * [backup-simplify]: Simplify (/ PI 1) into PI 82.680 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.682 * [backup-simplify]: Simplify 0 into 0 82.682 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.682 * [backup-simplify]: Simplify 0 into 0 82.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 82.684 * [backup-simplify]: Simplify (+ 0 0) into 0 82.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 82.685 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 82.685 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 82.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 82.685 * [taylor]: Taking taylor expansion of 1/2 in b 82.685 * [backup-simplify]: Simplify 1/2 into 1/2 82.685 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 82.685 * [taylor]: Taking taylor expansion of PI in b 82.685 * [backup-simplify]: Simplify PI into PI 82.685 * [taylor]: Taking taylor expansion of (pow b 2) in b 82.685 * [taylor]: Taking taylor expansion of b in b 82.685 * [backup-simplify]: Simplify 0 into 0 82.685 * [backup-simplify]: Simplify 1 into 1 82.686 * [backup-simplify]: Simplify (* 1 1) into 1 82.686 * [backup-simplify]: Simplify (/ PI 1) into PI 82.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.692 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.692 * [backup-simplify]: Simplify (- 0) into 0 82.692 * [backup-simplify]: Simplify 0 into 0 82.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.694 * [backup-simplify]: Simplify 0 into 0 82.695 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.695 * [backup-simplify]: Simplify 0 into 0 82.695 * [backup-simplify]: Simplify 0 into 0 82.695 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1) 82.696 * [backup-simplify]: Simplify (/ (/ PI 2) (+ a b)) into (* 1/2 (/ PI (+ a b))) 82.696 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in (a b) around 0 82.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in b 82.696 * [taylor]: Taking taylor expansion of 1/2 in b 82.696 * [backup-simplify]: Simplify 1/2 into 1/2 82.696 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in b 82.696 * [taylor]: Taking taylor expansion of PI in b 82.696 * [backup-simplify]: Simplify PI into PI 82.696 * [taylor]: Taking taylor expansion of (+ a b) in b 82.696 * [taylor]: Taking taylor expansion of a in b 82.696 * [backup-simplify]: Simplify a into a 82.696 * [taylor]: Taking taylor expansion of b in b 82.696 * [backup-simplify]: Simplify 0 into 0 82.696 * [backup-simplify]: Simplify 1 into 1 82.696 * [backup-simplify]: Simplify (+ a 0) into a 82.696 * [backup-simplify]: Simplify (/ PI a) into (/ PI a) 82.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 82.696 * [taylor]: Taking taylor expansion of 1/2 in a 82.696 * [backup-simplify]: Simplify 1/2 into 1/2 82.696 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 82.696 * [taylor]: Taking taylor expansion of PI in a 82.696 * [backup-simplify]: Simplify PI into PI 82.696 * [taylor]: Taking taylor expansion of (+ a b) in a 82.696 * [taylor]: Taking taylor expansion of a in a 82.696 * [backup-simplify]: Simplify 0 into 0 82.696 * [backup-simplify]: Simplify 1 into 1 82.696 * [taylor]: Taking taylor expansion of b in a 82.696 * [backup-simplify]: Simplify b into b 82.696 * [backup-simplify]: Simplify (+ 0 b) into b 82.696 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 82.696 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ a b))) in a 82.696 * [taylor]: Taking taylor expansion of 1/2 in a 82.697 * [backup-simplify]: Simplify 1/2 into 1/2 82.697 * [taylor]: Taking taylor expansion of (/ PI (+ a b)) in a 82.697 * [taylor]: Taking taylor expansion of PI in a 82.697 * [backup-simplify]: Simplify PI into PI 82.697 * [taylor]: Taking taylor expansion of (+ a b) in a 82.697 * [taylor]: Taking taylor expansion of a in a 82.697 * [backup-simplify]: Simplify 0 into 0 82.697 * [backup-simplify]: Simplify 1 into 1 82.697 * [taylor]: Taking taylor expansion of b in a 82.697 * [backup-simplify]: Simplify b into b 82.697 * [backup-simplify]: Simplify (+ 0 b) into b 82.697 * [backup-simplify]: Simplify (/ PI b) into (/ PI b) 82.697 * [backup-simplify]: Simplify (* 1/2 (/ PI b)) into (* 1/2 (/ PI b)) 82.697 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 82.697 * [taylor]: Taking taylor expansion of 1/2 in b 82.697 * [backup-simplify]: Simplify 1/2 into 1/2 82.697 * [taylor]: Taking taylor expansion of (/ PI b) in b 82.697 * [taylor]: Taking taylor expansion of PI in b 82.697 * [backup-simplify]: Simplify PI into PI 82.697 * [taylor]: Taking taylor expansion of b in b 82.697 * [backup-simplify]: Simplify 0 into 0 82.697 * [backup-simplify]: Simplify 1 into 1 82.697 * [backup-simplify]: Simplify (/ PI 1) into PI 82.698 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 82.699 * [backup-simplify]: Simplify 0 into 0 82.699 * [backup-simplify]: Simplify (+ 1 0) into 1 82.699 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (pow b 2))) 82.700 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI (pow b 2)))) (* 0 (/ PI b))) into (- (* 1/2 (/ PI (pow b 2)))) 82.700 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 82.700 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 82.700 * [taylor]: Taking taylor expansion of 1/2 in b 82.700 * [backup-simplify]: Simplify 1/2 into 1/2 82.700 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 82.700 * [taylor]: Taking taylor expansion of PI in b 82.700 * [backup-simplify]: Simplify PI into PI 82.700 * [taylor]: Taking taylor expansion of (pow b 2) in b 82.700 * [taylor]: Taking taylor expansion of b in b 82.700 * [backup-simplify]: Simplify 0 into 0 82.700 * [backup-simplify]: Simplify 1 into 1 82.700 * [backup-simplify]: Simplify (* 1 1) into 1 82.701 * [backup-simplify]: Simplify (/ PI 1) into PI 82.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.703 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.704 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.704 * [backup-simplify]: Simplify (- 0) into 0 82.705 * [backup-simplify]: Simplify 0 into 0 82.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.706 * [backup-simplify]: Simplify 0 into 0 82.707 * [backup-simplify]: Simplify (+ 0 0) into 0 82.707 * [backup-simplify]: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) 82.707 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 3))) (+ (* 0 (- (/ PI (pow b 2)))) (* 0 (/ PI b)))) into (* 1/2 (/ PI (pow b 3))) 82.707 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 82.707 * [taylor]: Taking taylor expansion of 1/2 in b 82.707 * [backup-simplify]: Simplify 1/2 into 1/2 82.707 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 82.707 * [taylor]: Taking taylor expansion of PI in b 82.707 * [backup-simplify]: Simplify PI into PI 82.707 * [taylor]: Taking taylor expansion of (pow b 3) in b 82.707 * [taylor]: Taking taylor expansion of b in b 82.707 * [backup-simplify]: Simplify 0 into 0 82.707 * [backup-simplify]: Simplify 1 into 1 82.708 * [backup-simplify]: Simplify (* 1 1) into 1 82.708 * [backup-simplify]: Simplify (* 1 1) into 1 82.708 * [backup-simplify]: Simplify (/ PI 1) into PI 82.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.711 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.716 * [backup-simplify]: Simplify 0 into 0 82.717 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.719 * [backup-simplify]: Simplify (- 0) into 0 82.719 * [backup-simplify]: Simplify 0 into 0 82.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.721 * [backup-simplify]: Simplify 0 into 0 82.721 * [backup-simplify]: Simplify 0 into 0 82.721 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) into (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 82.721 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 82.721 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 82.722 * [taylor]: Taking taylor expansion of 1/2 in b 82.722 * [backup-simplify]: Simplify 1/2 into 1/2 82.722 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 82.722 * [taylor]: Taking taylor expansion of PI in b 82.722 * [backup-simplify]: Simplify PI into PI 82.722 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 82.722 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.722 * [taylor]: Taking taylor expansion of a in b 82.722 * [backup-simplify]: Simplify a into a 82.722 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.722 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.722 * [taylor]: Taking taylor expansion of b in b 82.722 * [backup-simplify]: Simplify 0 into 0 82.722 * [backup-simplify]: Simplify 1 into 1 82.722 * [backup-simplify]: Simplify (/ 1 1) into 1 82.722 * [backup-simplify]: Simplify (+ 0 1) into 1 82.723 * [backup-simplify]: Simplify (/ PI 1) into PI 82.723 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 82.723 * [taylor]: Taking taylor expansion of 1/2 in a 82.723 * [backup-simplify]: Simplify 1/2 into 1/2 82.723 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 82.723 * [taylor]: Taking taylor expansion of PI in a 82.723 * [backup-simplify]: Simplify PI into PI 82.723 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.723 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.723 * [taylor]: Taking taylor expansion of a in a 82.723 * [backup-simplify]: Simplify 0 into 0 82.723 * [backup-simplify]: Simplify 1 into 1 82.723 * [backup-simplify]: Simplify (/ 1 1) into 1 82.724 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.724 * [taylor]: Taking taylor expansion of b in a 82.724 * [backup-simplify]: Simplify b into b 82.724 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.724 * [backup-simplify]: Simplify (+ 1 0) into 1 82.724 * [backup-simplify]: Simplify (/ PI 1) into PI 82.724 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 82.724 * [taylor]: Taking taylor expansion of 1/2 in a 82.724 * [backup-simplify]: Simplify 1/2 into 1/2 82.724 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 82.725 * [taylor]: Taking taylor expansion of PI in a 82.725 * [backup-simplify]: Simplify PI into PI 82.725 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.725 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.725 * [taylor]: Taking taylor expansion of a in a 82.725 * [backup-simplify]: Simplify 0 into 0 82.725 * [backup-simplify]: Simplify 1 into 1 82.725 * [backup-simplify]: Simplify (/ 1 1) into 1 82.725 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.725 * [taylor]: Taking taylor expansion of b in a 82.725 * [backup-simplify]: Simplify b into b 82.725 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.731 * [backup-simplify]: Simplify (+ 1 0) into 1 82.732 * [backup-simplify]: Simplify (/ PI 1) into PI 82.732 * [backup-simplify]: Simplify (* 1/2 PI) into (* 1/2 PI) 82.732 * [taylor]: Taking taylor expansion of (* 1/2 PI) in b 82.732 * [taylor]: Taking taylor expansion of 1/2 in b 82.732 * [backup-simplify]: Simplify 1/2 into 1/2 82.732 * [taylor]: Taking taylor expansion of PI in b 82.732 * [backup-simplify]: Simplify PI into PI 82.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 82.733 * [backup-simplify]: Simplify 0 into 0 82.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.734 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 82.734 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 82.735 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (* 0 PI)) into (- (* 1/2 (/ PI b))) 82.735 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 82.735 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 82.735 * [taylor]: Taking taylor expansion of 1/2 in b 82.735 * [backup-simplify]: Simplify 1/2 into 1/2 82.735 * [taylor]: Taking taylor expansion of (/ PI b) in b 82.735 * [taylor]: Taking taylor expansion of PI in b 82.735 * [backup-simplify]: Simplify PI into PI 82.735 * [taylor]: Taking taylor expansion of b in b 82.735 * [backup-simplify]: Simplify 0 into 0 82.735 * [backup-simplify]: Simplify 1 into 1 82.735 * [backup-simplify]: Simplify (/ PI 1) into PI 82.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.738 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.738 * [backup-simplify]: Simplify (- 0) into 0 82.738 * [backup-simplify]: Simplify 0 into 0 82.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.739 * [backup-simplify]: Simplify 0 into 0 82.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 82.740 * [backup-simplify]: Simplify (+ 0 0) into 0 82.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 82.742 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (* 1/2 (/ PI (pow b 2))) 82.742 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 82.742 * [taylor]: Taking taylor expansion of 1/2 in b 82.742 * [backup-simplify]: Simplify 1/2 into 1/2 82.742 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 82.742 * [taylor]: Taking taylor expansion of PI in b 82.742 * [backup-simplify]: Simplify PI into PI 82.742 * [taylor]: Taking taylor expansion of (pow b 2) in b 82.742 * [taylor]: Taking taylor expansion of b in b 82.742 * [backup-simplify]: Simplify 0 into 0 82.742 * [backup-simplify]: Simplify 1 into 1 82.742 * [backup-simplify]: Simplify (* 1 1) into 1 82.743 * [backup-simplify]: Simplify (/ PI 1) into PI 82.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.749 * [backup-simplify]: Simplify 0 into 0 82.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.751 * [backup-simplify]: Simplify (- 0) into 0 82.751 * [backup-simplify]: Simplify 0 into 0 82.752 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.752 * [backup-simplify]: Simplify 0 into 0 82.752 * [backup-simplify]: Simplify 0 into 0 82.752 * [backup-simplify]: Simplify (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) into (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) 82.752 * [approximate]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 82.752 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in b 82.752 * [taylor]: Taking taylor expansion of -1/2 in b 82.752 * [backup-simplify]: Simplify -1/2 into -1/2 82.752 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b 82.752 * [taylor]: Taking taylor expansion of PI in b 82.753 * [backup-simplify]: Simplify PI into PI 82.753 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 82.753 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.753 * [taylor]: Taking taylor expansion of a in b 82.753 * [backup-simplify]: Simplify a into a 82.753 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.753 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.753 * [taylor]: Taking taylor expansion of b in b 82.753 * [backup-simplify]: Simplify 0 into 0 82.753 * [backup-simplify]: Simplify 1 into 1 82.753 * [backup-simplify]: Simplify (/ 1 1) into 1 82.753 * [backup-simplify]: Simplify (+ 0 1) into 1 82.754 * [backup-simplify]: Simplify (/ PI 1) into PI 82.754 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 82.754 * [taylor]: Taking taylor expansion of -1/2 in a 82.754 * [backup-simplify]: Simplify -1/2 into -1/2 82.754 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 82.754 * [taylor]: Taking taylor expansion of PI in a 82.754 * [backup-simplify]: Simplify PI into PI 82.754 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.754 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.754 * [taylor]: Taking taylor expansion of a in a 82.754 * [backup-simplify]: Simplify 0 into 0 82.754 * [backup-simplify]: Simplify 1 into 1 82.754 * [backup-simplify]: Simplify (/ 1 1) into 1 82.754 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.754 * [taylor]: Taking taylor expansion of b in a 82.755 * [backup-simplify]: Simplify b into b 82.755 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.755 * [backup-simplify]: Simplify (+ 1 0) into 1 82.755 * [backup-simplify]: Simplify (/ PI 1) into PI 82.755 * [taylor]: Taking taylor expansion of (* -1/2 (/ PI (+ (/ 1 a) (/ 1 b)))) in a 82.755 * [taylor]: Taking taylor expansion of -1/2 in a 82.755 * [backup-simplify]: Simplify -1/2 into -1/2 82.755 * [taylor]: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a 82.755 * [taylor]: Taking taylor expansion of PI in a 82.755 * [backup-simplify]: Simplify PI into PI 82.755 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.756 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.756 * [taylor]: Taking taylor expansion of a in a 82.756 * [backup-simplify]: Simplify 0 into 0 82.756 * [backup-simplify]: Simplify 1 into 1 82.756 * [backup-simplify]: Simplify (/ 1 1) into 1 82.756 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.756 * [taylor]: Taking taylor expansion of b in a 82.756 * [backup-simplify]: Simplify b into b 82.756 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.756 * [backup-simplify]: Simplify (+ 1 0) into 1 82.757 * [backup-simplify]: Simplify (/ PI 1) into PI 82.757 * [backup-simplify]: Simplify (* -1/2 PI) into (* -1/2 PI) 82.757 * [taylor]: Taking taylor expansion of (* -1/2 PI) in b 82.757 * [taylor]: Taking taylor expansion of -1/2 in b 82.757 * [backup-simplify]: Simplify -1/2 into -1/2 82.757 * [taylor]: Taking taylor expansion of PI in b 82.757 * [backup-simplify]: Simplify PI into PI 82.758 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 82.758 * [backup-simplify]: Simplify 0 into 0 82.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.759 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 82.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) 82.760 * [backup-simplify]: Simplify (+ (* -1/2 (- (/ PI b))) (* 0 PI)) into (* 1/2 (/ PI b)) 82.760 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 82.760 * [taylor]: Taking taylor expansion of 1/2 in b 82.760 * [backup-simplify]: Simplify 1/2 into 1/2 82.760 * [taylor]: Taking taylor expansion of (/ PI b) in b 82.760 * [taylor]: Taking taylor expansion of PI in b 82.760 * [backup-simplify]: Simplify PI into PI 82.760 * [taylor]: Taking taylor expansion of b in b 82.760 * [backup-simplify]: Simplify 0 into 0 82.760 * [backup-simplify]: Simplify 1 into 1 82.760 * [backup-simplify]: Simplify (/ PI 1) into PI 82.761 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.762 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.763 * [backup-simplify]: Simplify 0 into 0 82.763 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.763 * [backup-simplify]: Simplify 0 into 0 82.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 82.764 * [backup-simplify]: Simplify (+ 0 0) into 0 82.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) 82.765 * [backup-simplify]: Simplify (+ (* -1/2 (/ PI (pow b 2))) (+ (* 0 (- (/ PI b))) (* 0 PI))) into (- (* 1/2 (/ PI (pow b 2)))) 82.765 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 2)))) in b 82.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) in b 82.765 * [taylor]: Taking taylor expansion of 1/2 in b 82.765 * [backup-simplify]: Simplify 1/2 into 1/2 82.765 * [taylor]: Taking taylor expansion of (/ PI (pow b 2)) in b 82.765 * [taylor]: Taking taylor expansion of PI in b 82.765 * [backup-simplify]: Simplify PI into PI 82.765 * [taylor]: Taking taylor expansion of (pow b 2) in b 82.765 * [taylor]: Taking taylor expansion of b in b 82.765 * [backup-simplify]: Simplify 0 into 0 82.765 * [backup-simplify]: Simplify 1 into 1 82.766 * [backup-simplify]: Simplify (* 1 1) into 1 82.766 * [backup-simplify]: Simplify (/ PI 1) into PI 82.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.770 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.770 * [backup-simplify]: Simplify (- 0) into 0 82.770 * [backup-simplify]: Simplify 0 into 0 82.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.772 * [backup-simplify]: Simplify 0 into 0 82.773 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.773 * [backup-simplify]: Simplify 0 into 0 82.773 * [backup-simplify]: Simplify 0 into 0 82.773 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 82.773 * [backup-simplify]: Simplify (* (/ (/ (/ PI 2) (+ a b)) 1) (/ 1 (* b (- b a)))) into (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) 82.773 * [approximate]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in (a b) around 0 82.773 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in b 82.773 * [taylor]: Taking taylor expansion of 1/2 in b 82.773 * [backup-simplify]: Simplify 1/2 into 1/2 82.773 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in b 82.773 * [taylor]: Taking taylor expansion of PI in b 82.773 * [backup-simplify]: Simplify PI into PI 82.773 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in b 82.773 * [taylor]: Taking taylor expansion of b in b 82.773 * [backup-simplify]: Simplify 0 into 0 82.773 * [backup-simplify]: Simplify 1 into 1 82.773 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in b 82.773 * [taylor]: Taking taylor expansion of (+ a b) in b 82.773 * [taylor]: Taking taylor expansion of a in b 82.773 * [backup-simplify]: Simplify a into a 82.773 * [taylor]: Taking taylor expansion of b in b 82.773 * [backup-simplify]: Simplify 0 into 0 82.773 * [backup-simplify]: Simplify 1 into 1 82.773 * [taylor]: Taking taylor expansion of (- b a) in b 82.773 * [taylor]: Taking taylor expansion of b in b 82.773 * [backup-simplify]: Simplify 0 into 0 82.773 * [backup-simplify]: Simplify 1 into 1 82.773 * [taylor]: Taking taylor expansion of a in b 82.773 * [backup-simplify]: Simplify a into a 82.774 * [backup-simplify]: Simplify (+ a 0) into a 82.774 * [backup-simplify]: Simplify (- a) into (- a) 82.774 * [backup-simplify]: Simplify (+ 0 (- a)) into (- a) 82.774 * [backup-simplify]: Simplify (* a (- a)) into (* -1 (pow a 2)) 82.774 * [backup-simplify]: Simplify (* 0 (* -1 (pow a 2))) into 0 82.774 * [backup-simplify]: Simplify (- 0) into 0 82.774 * [backup-simplify]: Simplify (+ 1 0) into 1 82.774 * [backup-simplify]: Simplify (+ 0 1) into 1 82.775 * [backup-simplify]: Simplify (+ (* a 1) (* 1 (- a))) into 0 82.775 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* -1 (pow a 2)))) into (- (pow a 2)) 82.775 * [backup-simplify]: Simplify (/ PI (- (pow a 2))) into (* -1 (/ PI (pow a 2))) 82.775 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 82.775 * [taylor]: Taking taylor expansion of 1/2 in a 82.775 * [backup-simplify]: Simplify 1/2 into 1/2 82.775 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 82.775 * [taylor]: Taking taylor expansion of PI in a 82.775 * [backup-simplify]: Simplify PI into PI 82.775 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 82.775 * [taylor]: Taking taylor expansion of b in a 82.775 * [backup-simplify]: Simplify b into b 82.775 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 82.775 * [taylor]: Taking taylor expansion of (+ a b) in a 82.775 * [taylor]: Taking taylor expansion of a in a 82.775 * [backup-simplify]: Simplify 0 into 0 82.775 * [backup-simplify]: Simplify 1 into 1 82.775 * [taylor]: Taking taylor expansion of b in a 82.775 * [backup-simplify]: Simplify b into b 82.775 * [taylor]: Taking taylor expansion of (- b a) in a 82.775 * [taylor]: Taking taylor expansion of b in a 82.775 * [backup-simplify]: Simplify b into b 82.775 * [taylor]: Taking taylor expansion of a in a 82.775 * [backup-simplify]: Simplify 0 into 0 82.775 * [backup-simplify]: Simplify 1 into 1 82.775 * [backup-simplify]: Simplify (+ 0 b) into b 82.776 * [backup-simplify]: Simplify (- 0) into 0 82.776 * [backup-simplify]: Simplify (+ b 0) into b 82.776 * [backup-simplify]: Simplify (* b b) into (pow b 2) 82.776 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 82.776 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 82.776 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (* b (* (+ a b) (- b a))))) in a 82.776 * [taylor]: Taking taylor expansion of 1/2 in a 82.776 * [backup-simplify]: Simplify 1/2 into 1/2 82.776 * [taylor]: Taking taylor expansion of (/ PI (* b (* (+ a b) (- b a)))) in a 82.776 * [taylor]: Taking taylor expansion of PI in a 82.776 * [backup-simplify]: Simplify PI into PI 82.776 * [taylor]: Taking taylor expansion of (* b (* (+ a b) (- b a))) in a 82.776 * [taylor]: Taking taylor expansion of b in a 82.776 * [backup-simplify]: Simplify b into b 82.776 * [taylor]: Taking taylor expansion of (* (+ a b) (- b a)) in a 82.776 * [taylor]: Taking taylor expansion of (+ a b) in a 82.776 * [taylor]: Taking taylor expansion of a in a 82.776 * [backup-simplify]: Simplify 0 into 0 82.776 * [backup-simplify]: Simplify 1 into 1 82.776 * [taylor]: Taking taylor expansion of b in a 82.776 * [backup-simplify]: Simplify b into b 82.776 * [taylor]: Taking taylor expansion of (- b a) in a 82.776 * [taylor]: Taking taylor expansion of b in a 82.776 * [backup-simplify]: Simplify b into b 82.776 * [taylor]: Taking taylor expansion of a in a 82.776 * [backup-simplify]: Simplify 0 into 0 82.776 * [backup-simplify]: Simplify 1 into 1 82.776 * [backup-simplify]: Simplify (+ 0 b) into b 82.776 * [backup-simplify]: Simplify (- 0) into 0 82.776 * [backup-simplify]: Simplify (+ b 0) into b 82.776 * [backup-simplify]: Simplify (* b b) into (pow b 2) 82.776 * [backup-simplify]: Simplify (* b (pow b 2)) into (pow b 3) 82.777 * [backup-simplify]: Simplify (/ PI (pow b 3)) into (/ PI (pow b 3)) 82.777 * [backup-simplify]: Simplify (* 1/2 (/ PI (pow b 3))) into (* 1/2 (/ PI (pow b 3))) 82.777 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b 82.777 * [taylor]: Taking taylor expansion of 1/2 in b 82.777 * [backup-simplify]: Simplify 1/2 into 1/2 82.777 * [taylor]: Taking taylor expansion of (/ PI (pow b 3)) in b 82.777 * [taylor]: Taking taylor expansion of PI in b 82.777 * [backup-simplify]: Simplify PI into PI 82.777 * [taylor]: Taking taylor expansion of (pow b 3) in b 82.777 * [taylor]: Taking taylor expansion of b in b 82.777 * [backup-simplify]: Simplify 0 into 0 82.777 * [backup-simplify]: Simplify 1 into 1 82.777 * [backup-simplify]: Simplify (* 1 1) into 1 82.777 * [backup-simplify]: Simplify (* 1 1) into 1 82.778 * [backup-simplify]: Simplify (/ PI 1) into PI 82.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 82.781 * [backup-simplify]: Simplify 0 into 0 82.782 * [backup-simplify]: Simplify (- 1) into -1 82.782 * [backup-simplify]: Simplify (+ 0 -1) into -1 82.782 * [backup-simplify]: Simplify (+ 1 0) into 1 82.782 * [backup-simplify]: Simplify (+ (* b -1) (* 1 b)) into 0 82.782 * [backup-simplify]: Simplify (+ (* b 0) (* 0 (pow b 2))) into 0 82.782 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))))) into 0 82.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ PI (pow b 3)))) into 0 82.783 * [taylor]: Taking taylor expansion of 0 in b 82.783 * [backup-simplify]: Simplify 0 into 0 82.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 82.785 * [backup-simplify]: Simplify 0 into 0 82.786 * [backup-simplify]: Simplify (- 0) into 0 82.786 * [backup-simplify]: Simplify (+ 0 0) into 0 82.786 * [backup-simplify]: Simplify (+ 0 0) into 0 82.787 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 -1) (* 0 b))) into (- 1) 82.787 * [backup-simplify]: Simplify (+ (* b (- 1)) (+ (* 0 0) (* 0 (pow b 2)))) into (- b) 82.787 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ (- b) (pow b 3))) (* 0 (/ 0 (pow b 3))))) into (/ PI (pow b 5)) 82.788 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3))))) into (* 1/2 (/ PI (pow b 5))) 82.788 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI (pow b 5))) in b 82.788 * [taylor]: Taking taylor expansion of 1/2 in b 82.788 * [backup-simplify]: Simplify 1/2 into 1/2 82.788 * [taylor]: Taking taylor expansion of (/ PI (pow b 5)) in b 82.788 * [taylor]: Taking taylor expansion of PI in b 82.788 * [backup-simplify]: Simplify PI into PI 82.788 * [taylor]: Taking taylor expansion of (pow b 5) in b 82.788 * [taylor]: Taking taylor expansion of b in b 82.788 * [backup-simplify]: Simplify 0 into 0 82.788 * [backup-simplify]: Simplify 1 into 1 82.788 * [backup-simplify]: Simplify (* 1 1) into 1 82.788 * [backup-simplify]: Simplify (* 1 1) into 1 82.789 * [backup-simplify]: Simplify (* 1 1) into 1 82.789 * [backup-simplify]: Simplify (/ PI 1) into PI 82.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 82.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 82.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 82.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 82.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 82.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 82.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.798 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 82.799 * [backup-simplify]: Simplify 0 into 0 82.799 * [backup-simplify]: Simplify 0 into 0 82.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 82.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 82.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 82.802 * [backup-simplify]: Simplify 0 into 0 82.802 * [backup-simplify]: Simplify (- 0) into 0 82.803 * [backup-simplify]: Simplify (+ 0 0) into 0 82.803 * [backup-simplify]: Simplify (+ 0 0) into 0 82.803 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 -1) (* 0 b)))) into 0 82.804 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 (- 1)) (+ (* 0 0) (* 0 (pow b 2))))) into 0 82.804 * [backup-simplify]: Simplify (- (/ 0 (pow b 3)) (+ (* (/ PI (pow b 3)) (/ 0 (pow b 3))) (* 0 (/ (- b) (pow b 3))) (* (/ PI (pow b 5)) (/ 0 (pow b 3))))) into 0 82.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ PI (pow b 5))) (+ (* 0 0) (* 0 (/ PI (pow b 3)))))) into 0 82.805 * [taylor]: Taking taylor expansion of 0 in b 82.805 * [backup-simplify]: Simplify 0 into 0 82.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 82.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 82.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 82.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 82.809 * [backup-simplify]: Simplify 0 into 0 82.809 * [backup-simplify]: Simplify 0 into 0 82.810 * [backup-simplify]: Simplify (* (/ (/ (/ PI 2) (+ (/ 1 a) (/ 1 b))) 1) (/ 1 (* (/ 1 b) (- (/ 1 b) (/ 1 a))))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) 82.810 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in (a b) around 0 82.810 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in b 82.810 * [taylor]: Taking taylor expansion of 1/2 in b 82.810 * [backup-simplify]: Simplify 1/2 into 1/2 82.810 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in b 82.810 * [taylor]: Taking taylor expansion of (* b PI) in b 82.810 * [taylor]: Taking taylor expansion of b in b 82.810 * [backup-simplify]: Simplify 0 into 0 82.810 * [backup-simplify]: Simplify 1 into 1 82.810 * [taylor]: Taking taylor expansion of PI in b 82.810 * [backup-simplify]: Simplify PI into PI 82.810 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b 82.810 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 82.810 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.810 * [taylor]: Taking taylor expansion of a in b 82.810 * [backup-simplify]: Simplify a into a 82.810 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.810 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.810 * [taylor]: Taking taylor expansion of b in b 82.810 * [backup-simplify]: Simplify 0 into 0 82.810 * [backup-simplify]: Simplify 1 into 1 82.810 * [backup-simplify]: Simplify (/ 1 1) into 1 82.810 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in b 82.810 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.810 * [taylor]: Taking taylor expansion of b in b 82.810 * [backup-simplify]: Simplify 0 into 0 82.810 * [backup-simplify]: Simplify 1 into 1 82.811 * [backup-simplify]: Simplify (/ 1 1) into 1 82.811 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.811 * [taylor]: Taking taylor expansion of a in b 82.811 * [backup-simplify]: Simplify a into a 82.811 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.811 * [backup-simplify]: Simplify (* 0 PI) into 0 82.812 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 82.812 * [backup-simplify]: Simplify (+ 0 1) into 1 82.812 * [backup-simplify]: Simplify (+ 1 0) into 1 82.813 * [backup-simplify]: Simplify (* 1 1) into 1 82.813 * [backup-simplify]: Simplify (/ PI 1) into PI 82.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 82.813 * [taylor]: Taking taylor expansion of 1/2 in a 82.813 * [backup-simplify]: Simplify 1/2 into 1/2 82.813 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 82.813 * [taylor]: Taking taylor expansion of (* b PI) in a 82.813 * [taylor]: Taking taylor expansion of b in a 82.813 * [backup-simplify]: Simplify b into b 82.813 * [taylor]: Taking taylor expansion of PI in a 82.813 * [backup-simplify]: Simplify PI into PI 82.813 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 82.813 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.813 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.813 * [taylor]: Taking taylor expansion of a in a 82.813 * [backup-simplify]: Simplify 0 into 0 82.813 * [backup-simplify]: Simplify 1 into 1 82.813 * [backup-simplify]: Simplify (/ 1 1) into 1 82.814 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.814 * [taylor]: Taking taylor expansion of b in a 82.814 * [backup-simplify]: Simplify b into b 82.814 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.814 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 82.814 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.814 * [taylor]: Taking taylor expansion of b in a 82.814 * [backup-simplify]: Simplify b into b 82.814 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.814 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.814 * [taylor]: Taking taylor expansion of a in a 82.814 * [backup-simplify]: Simplify 0 into 0 82.814 * [backup-simplify]: Simplify 1 into 1 82.814 * [backup-simplify]: Simplify (/ 1 1) into 1 82.814 * [backup-simplify]: Simplify (* b PI) into (* PI b) 82.814 * [backup-simplify]: Simplify (+ 1 0) into 1 82.815 * [backup-simplify]: Simplify (- 1) into -1 82.815 * [backup-simplify]: Simplify (+ 0 -1) into -1 82.815 * [backup-simplify]: Simplify (* 1 -1) into -1 82.815 * [backup-simplify]: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) 82.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))))) in a 82.815 * [taylor]: Taking taylor expansion of 1/2 in a 82.815 * [backup-simplify]: Simplify 1/2 into 1/2 82.815 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a)))) in a 82.815 * [taylor]: Taking taylor expansion of (* b PI) in a 82.815 * [taylor]: Taking taylor expansion of b in a 82.815 * [backup-simplify]: Simplify b into b 82.815 * [taylor]: Taking taylor expansion of PI in a 82.815 * [backup-simplify]: Simplify PI into PI 82.815 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a 82.815 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.815 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.815 * [taylor]: Taking taylor expansion of a in a 82.815 * [backup-simplify]: Simplify 0 into 0 82.815 * [backup-simplify]: Simplify 1 into 1 82.816 * [backup-simplify]: Simplify (/ 1 1) into 1 82.816 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.816 * [taylor]: Taking taylor expansion of b in a 82.816 * [backup-simplify]: Simplify b into b 82.816 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.816 * [taylor]: Taking taylor expansion of (- (/ 1 b) (/ 1 a)) in a 82.816 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.816 * [taylor]: Taking taylor expansion of b in a 82.816 * [backup-simplify]: Simplify b into b 82.816 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.816 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.816 * [taylor]: Taking taylor expansion of a in a 82.816 * [backup-simplify]: Simplify 0 into 0 82.816 * [backup-simplify]: Simplify 1 into 1 82.816 * [backup-simplify]: Simplify (/ 1 1) into 1 82.816 * [backup-simplify]: Simplify (* b PI) into (* PI b) 82.816 * [backup-simplify]: Simplify (+ 1 0) into 1 82.817 * [backup-simplify]: Simplify (- 1) into -1 82.817 * [backup-simplify]: Simplify (+ 0 -1) into -1 82.817 * [backup-simplify]: Simplify (* 1 -1) into -1 82.817 * [backup-simplify]: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) 82.817 * [backup-simplify]: Simplify (* 1/2 (* -1 (* PI b))) into (* -1/2 (* b PI)) 82.817 * [taylor]: Taking taylor expansion of (* -1/2 (* b PI)) in b 82.817 * [taylor]: Taking taylor expansion of -1/2 in b 82.817 * [backup-simplify]: Simplify -1/2 into -1/2 82.817 * [taylor]: Taking taylor expansion of (* b PI) in b 82.818 * [taylor]: Taking taylor expansion of b in b 82.818 * [backup-simplify]: Simplify 0 into 0 82.818 * [backup-simplify]: Simplify 1 into 1 82.818 * [taylor]: Taking taylor expansion of PI in b 82.818 * [backup-simplify]: Simplify PI into PI 82.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 82.819 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 82.820 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 82.820 * [backup-simplify]: Simplify (* 0 PI) into 0 82.821 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 82.821 * [backup-simplify]: Simplify 0 into 0 82.821 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 82.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.822 * [backup-simplify]: Simplify (- 0) into 0 82.822 * [backup-simplify]: Simplify (+ (/ 1 b) 0) into (/ 1 b) 82.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.823 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 82.823 * [backup-simplify]: Simplify (+ (* 1 (/ 1 b)) (* (/ 1 b) -1)) into 0 82.823 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI b)) (/ 0 -1)))) into 0 82.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* -1 (* PI b)))) into 0 82.824 * [taylor]: Taking taylor expansion of 0 in b 82.824 * [backup-simplify]: Simplify 0 into 0 82.824 * [backup-simplify]: Simplify 0 into 0 82.824 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 82.825 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 82.825 * [backup-simplify]: Simplify 0 into 0 82.826 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 82.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 82.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.827 * [backup-simplify]: Simplify (- 0) into 0 82.827 * [backup-simplify]: Simplify (+ 0 0) into 0 82.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 82.833 * [backup-simplify]: Simplify (+ 0 0) into 0 82.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 b)) (* 0 -1))) into (/ 1 (pow b 2)) 82.834 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI b)) (/ (/ 1 (pow b 2)) -1)) (* 0 (/ 0 -1)))) into (- (/ PI b)) 82.835 * [backup-simplify]: Simplify (+ (* 1/2 (- (/ PI b))) (+ (* 0 0) (* 0 (* -1 (* PI b))))) into (- (* 1/2 (/ PI b))) 82.835 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b 82.835 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 82.835 * [taylor]: Taking taylor expansion of 1/2 in b 82.835 * [backup-simplify]: Simplify 1/2 into 1/2 82.835 * [taylor]: Taking taylor expansion of (/ PI b) in b 82.835 * [taylor]: Taking taylor expansion of PI in b 82.835 * [backup-simplify]: Simplify PI into PI 82.835 * [taylor]: Taking taylor expansion of b in b 82.835 * [backup-simplify]: Simplify 0 into 0 82.835 * [backup-simplify]: Simplify 1 into 1 82.835 * [backup-simplify]: Simplify (/ PI 1) into PI 82.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.836 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.838 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 82.839 * [backup-simplify]: Simplify (- 0) into 0 82.839 * [backup-simplify]: Simplify 0 into 0 82.839 * [backup-simplify]: Simplify 0 into 0 82.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 82.841 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 82.841 * [backup-simplify]: Simplify 0 into 0 82.841 * [backup-simplify]: Simplify 0 into 0 82.842 * [backup-simplify]: Simplify (* (/ (/ (/ PI 2) (+ (/ 1 (- a)) (/ 1 (- b)))) 1) (/ 1 (* (/ 1 (- b)) (- (/ 1 (- b)) (/ 1 (- a)))))) into (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) 82.842 * [approximate]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in (a b) around 0 82.842 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in b 82.842 * [taylor]: Taking taylor expansion of 1/2 in b 82.842 * [backup-simplify]: Simplify 1/2 into 1/2 82.842 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in b 82.842 * [taylor]: Taking taylor expansion of (* b PI) in b 82.842 * [taylor]: Taking taylor expansion of b in b 82.842 * [backup-simplify]: Simplify 0 into 0 82.842 * [backup-simplify]: Simplify 1 into 1 82.842 * [taylor]: Taking taylor expansion of PI in b 82.842 * [backup-simplify]: Simplify PI into PI 82.842 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in b 82.842 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b 82.842 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.842 * [taylor]: Taking taylor expansion of a in b 82.842 * [backup-simplify]: Simplify a into a 82.842 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.842 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.842 * [taylor]: Taking taylor expansion of b in b 82.842 * [backup-simplify]: Simplify 0 into 0 82.842 * [backup-simplify]: Simplify 1 into 1 82.842 * [backup-simplify]: Simplify (/ 1 1) into 1 82.843 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b 82.843 * [taylor]: Taking taylor expansion of (/ 1 a) in b 82.843 * [taylor]: Taking taylor expansion of a in b 82.843 * [backup-simplify]: Simplify a into a 82.843 * [backup-simplify]: Simplify (/ 1 a) into (/ 1 a) 82.843 * [taylor]: Taking taylor expansion of (/ 1 b) in b 82.843 * [taylor]: Taking taylor expansion of b in b 82.843 * [backup-simplify]: Simplify 0 into 0 82.843 * [backup-simplify]: Simplify 1 into 1 82.843 * [backup-simplify]: Simplify (/ 1 1) into 1 82.843 * [backup-simplify]: Simplify (* 0 PI) into 0 82.845 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 82.845 * [backup-simplify]: Simplify (+ 0 1) into 1 82.845 * [backup-simplify]: Simplify (- 1) into -1 82.846 * [backup-simplify]: Simplify (+ 0 -1) into -1 82.846 * [backup-simplify]: Simplify (* 1 -1) into -1 82.846 * [backup-simplify]: Simplify (/ PI -1) into (* -1 PI) 82.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 82.846 * [taylor]: Taking taylor expansion of 1/2 in a 82.846 * [backup-simplify]: Simplify 1/2 into 1/2 82.846 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 82.846 * [taylor]: Taking taylor expansion of (* b PI) in a 82.846 * [taylor]: Taking taylor expansion of b in a 82.846 * [backup-simplify]: Simplify b into b 82.846 * [taylor]: Taking taylor expansion of PI in a 82.846 * [backup-simplify]: Simplify PI into PI 82.846 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 82.846 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.846 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.846 * [taylor]: Taking taylor expansion of a in a 82.847 * [backup-simplify]: Simplify 0 into 0 82.847 * [backup-simplify]: Simplify 1 into 1 82.847 * [backup-simplify]: Simplify (/ 1 1) into 1 82.847 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.847 * [taylor]: Taking taylor expansion of b in a 82.847 * [backup-simplify]: Simplify b into b 82.847 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.847 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 82.847 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.847 * [taylor]: Taking taylor expansion of a in a 82.847 * [backup-simplify]: Simplify 0 into 0 82.847 * [backup-simplify]: Simplify 1 into 1 82.847 * [backup-simplify]: Simplify (/ 1 1) into 1 82.847 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.847 * [taylor]: Taking taylor expansion of b in a 82.847 * [backup-simplify]: Simplify b into b 82.847 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.847 * [backup-simplify]: Simplify (* b PI) into (* PI b) 82.848 * [backup-simplify]: Simplify (+ 1 0) into 1 82.848 * [backup-simplify]: Simplify (+ 1 0) into 1 82.848 * [backup-simplify]: Simplify (* 1 1) into 1 82.848 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 82.848 * [taylor]: Taking taylor expansion of (* 1/2 (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))))) in a 82.848 * [taylor]: Taking taylor expansion of 1/2 in a 82.848 * [backup-simplify]: Simplify 1/2 into 1/2 82.848 * [taylor]: Taking taylor expansion of (/ (* b PI) (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b)))) in a 82.848 * [taylor]: Taking taylor expansion of (* b PI) in a 82.848 * [taylor]: Taking taylor expansion of b in a 82.848 * [backup-simplify]: Simplify b into b 82.848 * [taylor]: Taking taylor expansion of PI in a 82.848 * [backup-simplify]: Simplify PI into PI 82.848 * [taylor]: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 a) (/ 1 b))) in a 82.848 * [taylor]: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a 82.848 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.848 * [taylor]: Taking taylor expansion of a in a 82.848 * [backup-simplify]: Simplify 0 into 0 82.848 * [backup-simplify]: Simplify 1 into 1 82.849 * [backup-simplify]: Simplify (/ 1 1) into 1 82.849 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.849 * [taylor]: Taking taylor expansion of b in a 82.849 * [backup-simplify]: Simplify b into b 82.849 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.849 * [taylor]: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a 82.849 * [taylor]: Taking taylor expansion of (/ 1 a) in a 82.849 * [taylor]: Taking taylor expansion of a in a 82.849 * [backup-simplify]: Simplify 0 into 0 82.849 * [backup-simplify]: Simplify 1 into 1 82.849 * [backup-simplify]: Simplify (/ 1 1) into 1 82.849 * [taylor]: Taking taylor expansion of (/ 1 b) in a 82.849 * [taylor]: Taking taylor expansion of b in a 82.849 * [backup-simplify]: Simplify b into b 82.849 * [backup-simplify]: Simplify (/ 1 b) into (/ 1 b) 82.849 * [backup-simplify]: Simplify (* b PI) into (* PI b) 82.849 * [backup-simplify]: Simplify (+ 1 0) into 1 82.850 * [backup-simplify]: Simplify (+ 1 0) into 1 82.850 * [backup-simplify]: Simplify (* 1 1) into 1 82.850 * [backup-simplify]: Simplify (/ (* PI b) 1) into (* PI b) 82.850 * [backup-simplify]: Simplify (* 1/2 (* PI b)) into (* 1/2 (* PI b)) 82.850 * [taylor]: Taking taylor expansion of (* 1/2 (* PI b)) in b 82.850 * [taylor]: Taking taylor expansion of 1/2 in b 82.850 * [backup-simplify]: Simplify 1/2 into 1/2 82.850 * [taylor]: Taking taylor expansion of (* PI b) in b 82.850 * [taylor]: Taking taylor expansion of PI in b 82.850 * [backup-simplify]: Simplify PI into PI 82.850 * [taylor]: Taking taylor expansion of b in b 82.850 * [backup-simplify]: Simplify 0 into 0 82.850 * [backup-simplify]: Simplify 1 into 1 82.851 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 82.852 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 82.853 * [backup-simplify]: Simplify (+ (* PI 1) (* 0 0)) into PI 82.853 * [backup-simplify]: Simplify (* PI 0) into 0 82.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 82.854 * [backup-simplify]: Simplify 0 into 0 82.854 * [backup-simplify]: Simplify (+ (* b 0) (* 0 PI)) into 0 82.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.854 * [backup-simplify]: Simplify (- (/ 1 b)) into (- (/ 1 b)) 82.854 * [backup-simplify]: Simplify (+ 0 (- (/ 1 b))) into (- (/ 1 b)) 82.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 82.855 * [backup-simplify]: Simplify (+ 0 (/ 1 b)) into (/ 1 b) 82.855 * [backup-simplify]: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 82.856 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ 0 1)))) into 0 82.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (* PI b))) into 0 82.856 * [taylor]: Taking taylor expansion of 0 in b 82.856 * [backup-simplify]: Simplify 0 into 0 82.856 * [backup-simplify]: Simplify 0 into 0 82.857 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 82.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 82.858 * [backup-simplify]: Simplify 0 into 0 82.858 * [backup-simplify]: Simplify (+ (* b 0) (+ (* 0 0) (* 0 PI))) into 0 82.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 82.859 * [backup-simplify]: Simplify (- 0) into 0 82.859 * [backup-simplify]: Simplify (+ 0 0) into 0 82.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 82.860 * [backup-simplify]: Simplify (+ 0 0) into 0 82.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 b) (- (/ 1 b))) (* 0 1))) into (- (/ 1 (pow b 2))) 82.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* PI b) (/ (- (/ 1 (pow b 2))) 1)) (* 0 (/ 0 1)))) into (/ PI b) 82.862 * [backup-simplify]: Simplify (+ (* 1/2 (/ PI b)) (+ (* 0 0) (* 0 (* PI b)))) into (* 1/2 (/ PI b)) 82.862 * [taylor]: Taking taylor expansion of (* 1/2 (/ PI b)) in b 82.862 * [taylor]: Taking taylor expansion of 1/2 in b 82.862 * [backup-simplify]: Simplify 1/2 into 1/2 82.862 * [taylor]: Taking taylor expansion of (/ PI b) in b 82.862 * [taylor]: Taking taylor expansion of PI in b 82.862 * [backup-simplify]: Simplify PI into PI 82.862 * [taylor]: Taking taylor expansion of b in b 82.862 * [backup-simplify]: Simplify 0 into 0 82.862 * [backup-simplify]: Simplify 1 into 1 82.862 * [backup-simplify]: Simplify (/ PI 1) into PI 82.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 82.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.865 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 82.866 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 82.866 * [backup-simplify]: Simplify 0 into 0 82.866 * [backup-simplify]: Simplify 0 into 0 82.867 * [backup-simplify]: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 82.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 82.869 * [backup-simplify]: Simplify 0 into 0 82.869 * [backup-simplify]: Simplify 0 into 0 82.869 * * * [progress]: simplifying candidates 82.869 * * * * [progress]: [ 1 / 494 ] simplifiying candidate # 82.869 * * * * [progress]: [ 2 / 494 ] simplifiying candidate # 82.869 * * * * [progress]: [ 3 / 494 ] simplifiying candidate # 82.869 * * * * [progress]: [ 4 / 494 ] simplifiying candidate # 82.869 * * * * [progress]: [ 5 / 494 ] simplifiying candidate # 82.869 * * * * [progress]: [ 6 / 494 ] simplifiying candidate # 82.869 * * * * [progress]: [ 7 / 494 ] simplifiying candidate # 82.869 * * * * [progress]: [ 8 / 494 ] simplifiying candidate # 82.869 * * * * [progress]: [ 9 / 494 ] simplifiying candidate # 82.869 * * * * [progress]: [ 10 / 494 ] simplifiying candidate # 82.869 * * * * [progress]: [ 11 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 12 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 13 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 14 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 15 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 16 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 17 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 18 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 19 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 20 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 21 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 22 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 23 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 24 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 25 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 26 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 27 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 28 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 29 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 30 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 31 / 494 ] simplifiying candidate # 82.870 * * * * [progress]: [ 32 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 33 / 494 ] simplifiying candidate #real (real->posit16 (/ 1 (* b (- b a))))))))> 82.871 * * * * [progress]: [ 34 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 35 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 36 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 37 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 38 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 39 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 40 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 41 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 42 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 43 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 44 / 494 ] simplifiying candidate # 82.871 * * * * [progress]: [ 45 / 494 ] simplifiying 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simplifiying candidate # 82.892 * * * * [progress]: [ 480 / 494 ] simplifiying candidate # 82.892 * * * * [progress]: [ 481 / 494 ] simplifiying candidate #real (real->posit16 (* (/ (/ (/ PI 2) (+ a b)) 1) (/ 1 (* b (- b a))))))))> 82.892 * * * * [progress]: [ 482 / 494 ] simplifiying candidate # 82.892 * * * * [progress]: [ 483 / 494 ] simplifiying candidate # 82.892 * * * * [progress]: [ 484 / 494 ] simplifiying candidate # 82.892 * * * * [progress]: [ 485 / 494 ] simplifiying candidate # 82.892 * * * * [progress]: [ 486 / 494 ] simplifiying candidate # 82.892 * * * * [progress]: [ 487 / 494 ] simplifiying candidate # 82.892 * * * * [progress]: [ 488 / 494 ] simplifiying candidate # 82.893 * * * * [progress]: [ 489 / 494 ] simplifiying candidate # 82.893 * * * * [progress]: [ 490 / 494 ] simplifiying candidate # 82.893 * * * * [progress]: [ 491 / 494 ] simplifiying candidate # 82.893 * * * * [progress]: [ 492 / 494 ] simplifiying candidate # 82.893 * * * * [progress]: [ 493 / 494 ] simplifiying candidate # 82.893 * * * * [progress]: [ 494 / 494 ] simplifiying candidate # 82.899 * [simplify]: Simplifying: (expm1 (/ 1 (* b (- b a)))) (log1p (/ 1 (* b (- b a)))) (- 1) (- 1) (- (+ (log b) (log (- b a)))) (- (log (* b (- b a)))) (- 0 (+ (log b) (log (- b a)))) (- 0 (log (* b (- b a)))) (- (log 1) (+ (log b) (log (- b a)))) (- (log 1) (log (* b (- b a)))) (log (/ 1 (* b (- b a)))) (exp (/ 1 (* b (- b a)))) (/ (* (* 1 1) 1) (* (* (* b b) b) (* (* (- b a) (- b a)) (- b a)))) (/ (* (* 1 1) 1) (* (* (* b (- b a)) (* b (- b a))) (* b (- b a)))) (* (cbrt (/ 1 (* b (- b a)))) (cbrt (/ 1 (* b (- b a))))) (cbrt (/ 1 (* b (- b a)))) (* (* (/ 1 (* b (- b a))) (/ 1 (* b (- b a)))) (/ 1 (* b (- b a)))) (sqrt (/ 1 (* b (- b a)))) (sqrt (/ 1 (* b (- b a)))) (- 1) (- (* b (- b a))) (/ (* (cbrt 1) (cbrt 1)) b) (/ (cbrt 1) (- b a)) (/ (sqrt 1) b) (/ (sqrt 1) (- b a)) (/ 1 b) (/ 1 (- b a)) (/ 1 (* b (- b a))) (/ (* b (- b a)) 1) (/ 1 b) (/ (* b (- b a)) (cbrt 1)) (/ (* b (- b a)) (sqrt 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PI) (sqrt 2)) (+ a b)) (/ (/ (sqrt PI) (sqrt 2)) 1) (/ (/ (sqrt PI) (sqrt 2)) (+ a b)) (/ (/ (sqrt PI) 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (sqrt PI) 2) (cbrt (+ a b))) (/ (/ (sqrt PI) 1) (sqrt (+ a b))) (/ (/ (sqrt PI) 2) (sqrt (+ a b))) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2) (+ a b)) (/ (/ (sqrt PI) 1) 1) (/ (/ (sqrt PI) 2) (+ a b)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (cbrt 2)) (cbrt (+ a b))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ PI (cbrt 2)) (sqrt (+ a b))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ PI (cbrt 2)) (+ a b)) (/ (/ 1 (* (cbrt 2) (cbrt 2))) 1) (/ (/ PI (cbrt 2)) (+ a b)) (/ (/ 1 (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI (sqrt 2)) (cbrt (+ a b))) (/ (/ 1 (sqrt 2)) (sqrt (+ a b))) (/ (/ PI (sqrt 2)) (sqrt (+ a b))) (/ (/ 1 (sqrt 2)) 1) (/ (/ PI (sqrt 2)) (+ a b)) (/ (/ 1 (sqrt 2)) 1) (/ (/ PI (sqrt 2)) (+ a b)) (/ (/ 1 1) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ PI 2) (cbrt (+ a b))) (/ (/ 1 1) (sqrt 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3))) (/ (/ PI 2) (- (* a a) (* b b))) (* (+ a b) 2) (real->posit16 (/ (/ PI 2) (+ a b))) (expm1 (/ (/ PI 2) (+ a b))) (log1p (/ (/ PI 2) (+ a b))) (- (- (log PI) (log 2)) (log (+ a b))) (- (log (/ PI 2)) (log (+ a b))) (log (/ (/ PI 2) (+ a b))) (exp (/ (/ PI 2) (+ a b))) (/ (/ (* (* PI PI) PI) (* (* 2 2) 2)) (* (* (+ a b) (+ a b)) (+ a b))) (/ (* (* (/ PI 2) (/ PI 2)) (/ PI 2)) (* (* (+ a b) (+ a b)) (+ a b))) (* (cbrt (/ (/ PI 2) (+ a b))) (cbrt (/ (/ PI 2) (+ a b)))) (cbrt (/ (/ PI 2) (+ a b))) (* (* (/ (/ PI 2) (+ a b)) (/ (/ PI 2) (+ a b))) (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (sqrt (/ (/ PI 2) (+ a b))) (- (/ PI 2)) (- (+ a b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (cbrt (/ PI 2)) (cbrt (+ a b))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (sqrt (+ a b))) (/ (cbrt (/ PI 2)) (sqrt (+ a b))) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) (+ a b)) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) 1) (/ (cbrt (/ PI 2)) (+ a b)) (/ (sqrt (/ PI 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (sqrt (/ PI 2)) (cbrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) (sqrt (+ a b))) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) (+ a b)) (/ (sqrt (/ PI 2)) 1) (/ (sqrt (/ PI 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) (cbrt 2)) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) (sqrt (+ a b))) (/ (/ (cbrt PI) (cbrt 2)) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (* (cbrt 2) (cbrt 2))) 1) (/ (/ (cbrt PI) (cbrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (* (cbrt (+ a b)) (cbrt (+ a b)))) (/ (/ (cbrt PI) (sqrt 2)) (cbrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) (sqrt (+ a b))) (/ (/ (cbrt PI) (sqrt 2)) (sqrt (+ a b))) (/ (/ (* (cbrt PI) (cbrt PI)) (sqrt 2)) 1) (/ (/ (cbrt PI) (sqrt 2)) (+ a b)) (/ (/ (* (cbrt PI) (cbrt 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b a)))) (* (/ (/ 1 (+ a b)) (cbrt 1)) (/ 1 (* b (- b a)))) (* (/ (/ 1 (+ a b)) (sqrt 1)) (/ 1 (* b (- b a)))) (* (/ (/ 1 (+ a b)) 1) (/ 1 (* b (- b a)))) (* (/ (+ (* a a) (- (* b b) (* a b))) (cbrt 1)) (/ 1 (* b (- b a)))) (* (/ (+ (* a a) (- (* b b) (* a b))) (sqrt 1)) (/ 1 (* b (- b a)))) (* (/ (+ (* a a) (- (* b b) (* a b))) 1) (/ 1 (* b (- b a)))) (* (/ (- a b) (cbrt 1)) (/ 1 (* b (- b a)))) (* (/ (- a b) (sqrt 1)) (/ 1 (* b (- b a)))) (* (/ (- a b) 1) (/ 1 (* b (- b a)))) (* (/ (/ (/ PI 2) (+ a b)) 1) (/ 1 (* b (- b a)))) (* (/ 1 1) (/ 1 (* b (- b a)))) (* (/ (/ (/ PI 2) (+ a b)) 1) 1) (* (/ (/ PI 2) (+ a b)) (/ 1 (* b (- b a)))) (real->posit16 (* (/ (/ (/ PI 2) (+ a b)) 1) (/ 1 (* b (- b a))))) 0 0 0 0 0 0 0 0 0 0 0 0 82.910 * * [simplify]: iteration 0: 574 enodes 83.377 * * [simplify]: iteration 1: 1762 enodes 83.728 * * [simplify]: iteration 2: 2000 enodes 83.983 * * [simplify]: iteration complete: 2000 enodes 83.984 * * [simplify]: Extracting #0: cost 187 inf + 0 83.990 * * [simplify]: Extracting #1: cost 550 inf + 45 83.993 * * [simplify]: Extracting #2: cost 581 inf + 2445 84.000 * * [simplify]: Extracting #3: cost 428 inf + 28694 84.022 * * [simplify]: Extracting #4: cost 101 inf + 117144 84.058 * * [simplify]: Extracting #5: cost 0 inf + 153309 84.095 * * [simplify]: Extracting #6: cost 0 inf + 153047 84.123 * [simplify]: Simplified to: (expm1 (/ 1 (* (- b a) b))) (log1p (/ 1 (* (- b a) b))) -1 -1 (- (log (* (- b a) b))) (- (log (* (- b a) b))) (- (log (* (- b a) b))) (- (log (* (- b a) b))) (- (log (* (- b a) b))) (- (log (* (- b a) b))) (- (log (* (- b a) b))) (exp (/ 1 (* (- b a) b))) (/ (/ 1 (* b (* b b))) (* (- b a) (* (- b a) (- b a)))) (/ 1 (* (* (* (- b a) b) (* (- b a) b)) (* (- b a) b))) (* (cbrt (/ 1 (* (- b a) b))) (cbrt (/ 1 (* (- b a) b)))) (cbrt (/ 1 (* (- b a) b))) (* (/ (/ 1 (* (- b a) b)) (* (- b a) b)) (/ 1 (* (- b a) b))) (sqrt (/ 1 (* (- b a) b))) (sqrt (/ 1 (* (- b a) b))) -1 (- (* (- b a) b)) (/ 1 b) (/ 1 (- b a)) (/ 1 b) (/ 1 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a) b))) (* (/ 1 (+ b a)) (/ 1 (* (- b a) b))) (* (fma (- b a) b (* a a)) (/ 1 (* (- b a) b))) (* (fma (- b a) b (* a a)) (/ 1 (* (- b a) b))) (* (fma (- b a) b (* a a)) (/ 1 (* (- b a) b))) (* (/ (- a b) (- b a)) (/ 1 b)) (* (/ (- a b) (- b a)) (/ 1 b)) (* (/ (- a b) (- b a)) (/ 1 b)) (/ (* (/ (/ PI 2) (+ b a)) 1) (* (- b a) b)) (/ 1 (* (- b a) b)) (/ (/ PI 2) (+ b a)) (/ (* (/ (/ PI 2) (+ b a)) 1) (* (- b a) b)) (real->posit16 (/ (* (/ (/ PI 2) (+ b a)) 1) (* (- b a) b))) 0 0 0 0 0 0 0 0 0 0 0 0 84.182 * * * [progress]: adding candidates to table 89.774 * [progress]: [Phase 3 of 3] Extracting. 89.775 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # #) 89.781 * * * [regime-changes]: Trying 3 branch expressions: ((* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) b a) 89.781 * * * * [regimes]: Trying to branch on (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) from (# # # # # # # # # # # # #) 89.872 * * * * [regimes]: Trying to branch on b from (# # # # # # # # # # # # #) 89.966 * * * * [regimes]: Trying to branch on a from (# # # # # # # # # # # # #) 90.050 * * * [regime]: Found split indices: #