* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (/ 1 (sqr b)) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ -1 (sqr a))) into (* -1/2 (/ PI (sqr a))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* -1/2 (/ PI (sqr a))) -1) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 0 (- (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (/ -1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ PI (sqr a))) (/ 1 a)) (* 0 -1)) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 1 (- (sqr a)))) (* 0 (/ 0 (- (sqr a)))))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (- (/ 1 (pow a 4)))) (+ (* 0 0) (* 0 (/ -1 (sqr a))))) into (- (* 1/2 (/ PI (pow a 4)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ PI (sqr a))) 0) (+ (* 0 (/ 1 a)) (* (- (* 1/2 (/ PI (pow a 4)))) -1))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* (* 1/2 PI) a) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) -1) (* 0 a)) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (/ 1 (sqr a))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ PI (sqr a))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 -1) (* (* 1/2 (/ PI (sqr a))) a))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (- a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 1) (* 0 (- a))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (/ 1 (sqr a))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ PI (sqr a))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 1) (* (* 1/2 (/ PI (sqr a))) (- a)))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 2) * [misc]approximate: Taking taylor expansion of (- (sqr b) (sqr a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]taylor: Taking taylor expansion of (- (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (sqr (* a 1))) (* 1 (sqr (* 1 b)))) into (- (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 b))))) (* -1 (sqr (* (/ 1 (/ 1 a)) 1)))) into (- (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- b)))))) (* -1 (sqr (* (/ 1 (/ 1 (- a))) 1)))) into (- (sqr b) (sqr a)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (/ 1 (sqr b)) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ -1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 0 (- (sqr a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 1 (- (sqr a)))) (* 0 (/ 0 (- (sqr a)))))) into (- (/ 1 (pow a 4))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (/ 1 (sqr b)) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ -1 (sqr a))) into (* -1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (* -1/2 (/ PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 0 (- (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (/ -1 (sqr a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 1 (- (sqr a)))) (* 0 (/ 0 (- (sqr a)))))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (- (/ 1 (pow a 4)))) (+ (* 0 0) (* 0 (/ -1 (sqr a))))) into (- (* 1/2 (/ PI (pow a 4)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (/ 1 (sqr a))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (/ 1 (sqr a))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 4 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) * * * * [misc]progress: [ 5 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) * * * * [misc]progress: [ 6 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) * * * * [misc]progress: [ 7 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) 0) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) 0) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) 0) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 10 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 11 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 12 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* 0 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 13 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ PI 2) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (expm1 (/ (/ PI 2) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 14 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (log1p (/ (/ PI 2) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (log1p (/ (/ PI 2) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 15 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) * * * * [misc]progress: [ 16 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) * * * * [misc]progress: [ 17 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ PI 2)) (- (log (- (sqr b) (sqr a))))) (log (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (+ (+ (log (/ PI 2)) (log (- (/ 1 a) (/ 1 b)))) (- (log (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (+ (+ (log (/ PI 2)) (log (- (/ 1 a) (/ 1 b)))) (- (log (* (- b a) (+ b a))))) * * * * [misc]progress: [ 19 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (/ PI 2)) (log (/ 1 (- (sqr b) (sqr a))))) (log (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (148 enodes) * [exit]simplify: Simplified to (+ (+ (log (/ PI 2)) (log (- (/ 1 a) (/ 1 b)))) (- (log (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (+ (+ (log (/ PI 2)) (log (- (/ 1 a) (/ 1 b)))) (- (log (* (- b a) (+ b a))))) * * * * [misc]progress: [ 20 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) (log (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (+ (log (/ (/ (/ PI 2) (+ b a)) (- b a))) (log (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (+ (log (/ (/ (/ PI 2) (+ b a)) (- b a))) (log (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 21 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (log (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * [exit]simplify: Simplified to (log (* (/ (- (/ 1 a) (/ 1 b)) (+ b a)) (/ (/ PI 2) (- b a)))) * * * * [misc]progress: [ 22 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (373 enodes) * [exit]simplify: Simplified to (exp (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (exp (* (/ PI 2) (/ (- (/ 1 a) (/ 1 b)) (* (- b a) (+ b a))))) * * * * [misc]progress: [ 23 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cube (/ PI 2)) (cube (/ 1 (- (sqr b) (sqr a))))) (cube (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (486 enodes) * [exit]simplify: Simplified to (* (/ (cube (- (/ 1 a) (/ 1 b))) (cube (* (- b a) (+ b a)))) (cube (/ PI 2))) * [exit]simplify: Simplified to (* (/ (cube (- (/ 1 a) (/ 1 b))) (cube (* (- b a) (+ b a)))) (cube (/ PI 2))) * * * * [misc]progress: [ 24 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) (cube (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (215 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (cube (/ (/ PI 2) (* (+ b a) (- b a)))) (cube (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cube (/ (/ PI 2) (* (+ b a) (- b a)))) (cube (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 25 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (cbrt (/ (/ PI 2) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 26 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (cube (/ (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) (+ b a))) * [exit]simplify: Simplified to (cube (/ (/ (- (/ 1 a) (/ 1 b)) (/ (- b a) (/ PI 2))) (+ b a))) * * * * [misc]progress: [ 27 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (cbrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (cbrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 28 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* (- b a) (+ b a)))) (* (cbrt (/ PI 2)) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* (- b a) (+ b a)))) (* (cbrt (/ PI 2)) (cbrt (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 29 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (440 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (sqrt (/ (/ PI 2) (/ (* (+ b a) (- b a)) (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 30 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (* (sqrt (/ (/ (/ PI 2) (+ b a)) (- b a))) (sqrt (- (/ 1 a) (/ 1 b)))) * * * * [misc]progress: [ 31 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (/ PI 2)) (sqrt (/ 1 (- (sqr b) (sqr a))))) (sqrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (* (- b a) (+ b a)))) (* (sqrt (/ PI 2)) (sqrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (* (- b a) (+ b a)))) (* (sqrt (/ PI 2)) (sqrt (- (/ 1 a) (/ 1 b))))) * * * * [misc]progress: [ 32 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI 1) (- (* 1 b) (* a 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (- b a) PI) * [exit]simplify: Simplified to (* (- b a) PI) * [enter]simplify: Simplifying (* (* 2 (- (sqr b) (sqr a))) (* a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (499 enodes) * [exit]simplify: Simplified to (* (- (* b b) (* a a)) (* a (* b 2))) * [exit]simplify: Simplified to (* (- (* b b) (* a a)) (* a (* b 2))) * * * * [misc]progress: [ 33 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI 1) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* PI (- (cube (/ 1 a)) (/ (/ 1 b) (* b b)))) * [exit]simplify: Simplified to (* PI (- (cube (/ 1 a)) (/ (/ 1 b) (* b b)))) * [enter]simplify: Simplifying (* (* 2 (- (sqr b) (sqr a))) (+ (sqr (/ 1 a)) (+ (sqr (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (* (* (- b a) (* 2 (+ b a))) (fma (/ 1 b) (+ (/ 1 b) (/ 1 a)) (* (/ 1 a) (/ 1 a)))) * [exit]simplify: Simplified to (* (* (- b a) (* 2 (+ b a))) (fma (/ 1 b) (+ (/ 1 b) (/ 1 a)) (* (/ 1 a) (/ 1 a)))) * * * * [misc]progress: [ 34 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI 1) (- (sqr (/ 1 a)) (sqr (/ 1 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (* (+ (/ PI a) (/ PI b)) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (* (+ (/ PI a) (/ PI b)) (- (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (* (* 2 (- (sqr b) (sqr a))) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (326 enodes) * [exit]simplify: Simplified to (* (* (+ b a) 2) (+ (/ (- b a) b) (/ (- b a) a))) * [exit]simplify: Simplified to (* (* (+ b a) 2) (+ (/ (- b a) b) (/ (- b a) a))) * * * * [misc]progress: [ 35 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (* 1 b) (* a 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (- b a) (/ PI 2)) * [exit]simplify: Simplified to (* (- b a) (/ PI 2)) * [enter]simplify: Simplifying (* (- (sqr b) (sqr a)) (* a b)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (* (+ b a) b) (* (- b a) a)) * [exit]simplify: Simplified to (* (* (+ b a) b) (* (- b a) a)) * * * * [misc]progress: [ 36 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (- (cube (/ 1 a)) (/ (/ 1 b) (* b b))) (/ PI 2)) * [exit]simplify: Simplified to (* (- (cube (/ 1 a)) (/ (/ 1 b) (* b b))) (/ PI 2)) * [enter]simplify: Simplifying (* (- (sqr b) (sqr a)) (+ (sqr (/ 1 a)) (+ (sqr (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (fma (/ 1 b) (+ (/ 1 a) (/ 1 b)) (/ 1 (* a a))) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (* (fma (/ 1 b) (+ (/ 1 a) (/ 1 b)) (/ 1 (* a a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 37 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (sqr (/ 1 a)) (sqr (/ 1 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (232 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (* (* (/ PI 2) (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (* (* (/ PI 2) (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (* (- (sqr b) (sqr a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (fma (- b a) (/ (+ b a) a) (fma (- b a) (/ a b) (- b a))) * [exit]simplify: Simplified to (fma (- b a) (/ (+ b a) a) (fma (- b a) (/ a b) (- b a))) * * * * [misc]progress: [ 38 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) 1) (- (* 1 b) (* a 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [exit]simplify: Simplified to (* (/ PI 2) (- b a)) * [enter]simplify: Simplifying (* (- (sqr b) (sqr a)) (* a b)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (* (* (+ b a) b) (* (- b a) a)) * [exit]simplify: Simplified to (* (* (+ b a) b) (* (- b a) a)) * * * * [misc]progress: [ 39 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) 1) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ PI 2)) * [exit]simplify: Simplified to (* (- (/ (/ 1 a) (* a a)) (/ (/ 1 b) (* b b))) (/ PI 2)) * [enter]simplify: Simplifying (* (- (sqr b) (sqr a)) (+ (sqr (/ 1 a)) (+ (sqr (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (fma (/ 1 b) (+ (/ 1 a) (/ 1 b)) (/ 1 (* a a))) (* (- b a) (+ b a))) * [exit]simplify: Simplified to (* (fma (/ 1 b) (+ (/ 1 a) (/ 1 b)) (/ 1 (* a a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 40 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) 1) (- (sqr (/ 1 a)) (sqr (/ 1 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (* (* (/ PI 2) (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (* (* (/ PI 2) (- (/ 1 a) (/ 1 b))) (+ (/ 1 a) (/ 1 b))) * [enter]simplify: Simplifying (* (- (sqr b) (sqr a)) (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (200 enodes) * * [misc]simplify: iters left: 1 (334 enodes) * [exit]simplify: Simplified to (fma (- b a) (/ (+ b a) a) (fma (- b a) (/ a b) (- b a))) * [exit]simplify: Simplified to (fma (- b a) (/ (+ b a) a) (fma (- b a) (/ a b) (- b a))) * * * * [misc]progress: [ 41 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (/ 1 (- (sqr b) (sqr a)))) (- (* 1 b) (* a 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ PI (+ a b)) * [exit]simplify: Simplified to (/ PI (+ a b)) * [enter]simplify: Simplifying (* 2 (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (* a (* b 2)) * [exit]simplify: Simplified to (* a (* b 2)) * * * * [misc]progress: [ 42 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (/ 1 (- (sqr b) (sqr a)))) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (254 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (- b a)) (+ a b)) (- (/ (/ 1 a) (* a a)) (/ 1 (cube b)))) * [exit]simplify: Simplified to (* (/ (/ PI (- b a)) (+ a b)) (- (/ (/ 1 a) (* a a)) (/ 1 (cube b)))) * [enter]simplify: Simplifying (* 2 (+ (sqr (/ 1 a)) (+ (sqr (/ 1 b)) (* (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (fma (/ 2 b) (+ (/ 1 a) (/ 1 b)) (/ (/ 2 a) a)) * [exit]simplify: Simplified to (fma (/ 2 b) (+ (/ 1 a) (/ 1 b)) (/ (/ 2 a) a)) * * * * [misc]progress: [ 43 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (/ 1 (- (sqr b) (sqr a)))) (- (sqr (/ 1 a)) (sqr (/ 1 b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (+ a b)) (+ (/ 1 a) (/ 1 b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [exit]simplify: Simplified to (/ (* (/ PI (+ a b)) (+ (/ 1 a) (/ 1 b))) (/ (- b a) (- (/ 1 a) (/ 1 b)))) * [enter]simplify: Simplifying (* 2 (+ (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (+ (/ 2 a) (/ 2 b)) * [exit]simplify: Simplified to (+ (/ 2 a) (/ 2 b)) * * * * [misc]progress: [ 44 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (/ 1 a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (250 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (* (- b a) a)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (* (- b a) a)) * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (158 enodes) * * [misc]simplify: iters left: 2 (317 enodes) * [exit]simplify: Simplified to (- (/ (/ (/ PI 2) b) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (- (/ (/ (/ PI 2) b) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 46 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 a) (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (346 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) a) (- (sqr b) (* a a))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) a) (- (sqr b) (* a a))) * [enter]simplify: Simplifying (* (- (/ 1 b)) (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI 2)) (* (- b a) (+ a b))) b) * [exit]simplify: Simplified to (/ (/ (- (/ PI 2)) (* (- b a) (+ a b))) b) * * * * [misc]progress: [ 47 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * * * * [misc]progress: [ 48 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (+ b a)) (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (+ b a)) (- b a)) (+ (sqrt (/ 1 a)) (sqrt (/ 1 b)))) * * * * [misc]progress: [ 49 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * * * * [misc]progress: [ 50 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * * * * [misc]progress: [ 51 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * * * * [misc]progress: [ 52 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (+ b a)) (- b a)) * * * * [misc]progress: [ 53 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 (- (sqr b) (sqr a))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (/ 1 a) (/ 1 b)) (* (+ b a) (- b a))) * * * * [misc]progress: [ 54 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (* 1 b) (* a 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * * * * [misc]progress: [ 55 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (pow (/ 1 a) 3) (pow (/ 1 b) 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * * [misc]simplify: iters left: 1 (470 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (+ b a)) (- (cube (/ 1 a)) (/ (/ 1 b) (* b b)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (+ b a)) (- (cube (/ 1 a)) (/ (/ 1 b) (* b b)))) * * * * [misc]progress: [ 56 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (sqr (/ 1 a)) (sqr (/ 1 b)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (384 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (+ b a)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) * [exit]simplify: Simplified to (* (/ (/ (/ PI 2) (- b a)) (+ b a)) (* (- (/ 1 a) (/ 1 b)) (+ (/ 1 b) (/ 1 a)))) * * * * [misc]progress: [ 57 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI 1) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) PI) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) PI) * * * * [misc]progress: [ 58 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) * [exit]simplify: Simplified to (* (- (/ 1 a) (/ 1 b)) (/ PI 2)) * * * * [misc]progress: [ 59 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI 2) 1) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (- (/ 1 a) (/ 1 b))) * [exit]simplify: Simplified to (* (/ PI 2) (- (/ 1 a) (/ 1 b))) * * * * [misc]progress: [ 60 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* PI (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (+ a b)) * [exit]simplify: Simplified to (/ (* (/ PI (- b a)) (- (/ 1 a) (/ 1 b))) (+ a b)) * * * * [misc]progress: [ 61 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (expm1 (* (+ b a) (- b a))) * [exit]simplify: Simplified to (expm1 (* (+ b a) (- b a))) * * * * [misc]progress: [ 63 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (log1p (* (+ b a) (- b a))) * [exit]simplify: Simplified to (log1p (* (+ b a) (- b a))) * * * * [misc]progress: [ 64 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (sqr b)) (exp (sqr a))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (exp (- (sqr b) (* a a))) * [exit]simplify: Simplified to (exp (- (sqr b) (* a a))) * * * * [misc]progress: [ 65 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (log (* (+ b a) (- b a))) * [exit]simplify: Simplified to (log (* (+ b a) (- b a))) * * * * [misc]progress: [ 67 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (exp (* (+ b a) (- b a))) * [exit]simplify: Simplified to (exp (* (+ b a) (- b a))) * * * * [misc]progress: [ 68 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (+ b a) (- b a))) * [exit]simplify: Simplified to (cbrt (* (+ b a) (- b a))) * * * * [misc]progress: [ 69 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (cube (* (- b a) (+ b a))) * [exit]simplify: Simplified to (cube (* (- b a) (+ b a))) * * * * [misc]progress: [ 70 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqr b) (sqr a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (sqrt (* (+ b a) (- b a))) * [exit]simplify: Simplified to (sqrt (* (+ b a) (- b a))) * * * * [misc]progress: [ 71 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr a)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (* a (- a)) * [exit]simplify: Simplified to (* a (- a)) * * * * [misc]progress: [ 72 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (sqr b) 3) (pow (sqr a) 3)) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (+ (cube b) (cube a)) (- (cube b) (cube a))) * [exit]simplify: Simplified to (* (+ (cube b) (cube a)) (- (cube b) (cube a))) * [enter]simplify: Simplifying (+ (sqr (sqr b)) (+ (sqr (sqr a)) (* (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (fma (sqr b) (fma a a (sqr b)) (* (* a a) (* a a))) * [exit]simplify: Simplified to (fma (sqr b) (fma a a (sqr b)) (* (* a a) (* a a))) * * * * [misc]progress: [ 74 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (sqr b)) (sqr (sqr a))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (* (sqr b) (sqr b)) (* (* a a) (* a a))) * [exit]simplify: Simplified to (- (* (sqr b) (sqr b)) (* (* a a) (* a a))) * [enter]simplify: Simplifying (+ (sqr b) (sqr a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (fma a a (sqr b)) * [exit]simplify: Simplified to (fma a a (sqr b)) * * * * [misc]progress: [ 75 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ b a) * [exit]simplify: Simplified to (+ b a) * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (- b a) * [exit]simplify: Simplified to (- b a) * * * * [misc]progress: [ 76 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr b) (sqr a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (- (sqr b) (* a a)) * [exit]simplify: Simplified to (- (sqr b) (* a a)) * * * * [misc]progress: [ 77 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (expm1 (/ 1 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 78 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (log1p (/ 1 (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log1p (/ 1 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 79 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (- (log (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (- (log (* (+ b a) (- b a)))) * * * * [misc]progress: [ 82 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (- (log (- (* b b) (* a a)))) * [exit]simplify: Simplified to (- (log (- (* b b) (* a a)))) * * * * [misc]progress: [ 83 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (exp (/ 1 (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (exp (/ 1 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 84 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (cbrt (/ 1 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 85 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (/ 1 (cube (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (/ 1 (cube (* (+ b a) (- b a)))) * * * * [misc]progress: [ 86 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ 1 (* (- b a) (+ b a)))) * * * * [misc]progress: [ 87 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (- (sqr b) (sqr a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (* (+ b a) (- (- b a))) * [exit]simplify: Simplified to (* (+ b a) (- (- b a))) * * * * [misc]progress: [ 88 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqr b) (sqr a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * * * * [misc]progress: [ 90 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr b) (sqr a)) 1) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (/ (- b a) 1) (+ b a)) * [exit]simplify: Simplified to (* (/ (- b a) 1) (+ b a)) * * * * [misc]progress: [ 91 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 92 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ a b)) * [exit]simplify: Simplified to (/ 1 (+ a b)) * * * * [misc]progress: [ 93 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 94 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (pow (sqr b) 3) (pow (sqr a) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ 1 (- (sqr (cube b)) (sqr (cube a)))) * [exit]simplify: Simplified to (/ 1 (- (sqr (cube b)) (sqr (cube a)))) * * * * [misc]progress: [ 95 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqr (sqr b)) (sqr (sqr a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ 1 (- (* (* b b) (* b b)) (* (* a a) (* a a)))) * [exit]simplify: Simplified to (/ 1 (- (* (* b b) (* b b)) (* (* a a) (* a a)))) * * * * [misc]progress: [ 96 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (/ PI 2) (+ b a)) (- b a))) * [exit]simplify: Simplified to (expm1 (/ (/ (/ PI 2) (+ b a)) (- b a))) * * * * [misc]progress: [ 97 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (/ PI 2) (+ b a)) (- b a))) * [exit]simplify: Simplified to (log1p (/ (/ (/ PI 2) (+ b a)) (- b a))) * * * * [misc]progress: [ 98 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ b a) (- b a))) * * * * [misc]progress: [ 99 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ PI 2)) (- (log (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (+ (log (/ PI 2)) (- (log (* (+ b a) (- b a))))) * [exit]simplify: Simplified to (+ (log (/ PI 2)) (- (log (* (+ b a) (- b a))))) * * * * [misc]progress: [ 101 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ PI 2)) (log (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (- (- (log (+ b a))) (- (log (- b a)) (log (/ PI 2)))) * [exit]simplify: Simplified to (- (- (log (+ b a))) (- (log (- b a)) (log (/ PI 2)))) * * * * [misc]progress: [ 102 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ PI 2) (+ b a)) (- b a))) * [exit]simplify: Simplified to (log (/ (/ (/ PI 2) (+ b a)) (- b a))) * * * * [misc]progress: [ 103 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (exp (/ (/ PI 2) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 104 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (/ PI 2)) (cube (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (329 enodes) * [exit]simplify: Simplified to (/ (/ (cube (/ PI 2)) (* (+ b a) (- b a))) (* (* (+ b a) (- b a)) (* (+ b a) (- b a)))) * [exit]simplify: Simplified to (/ (/ (cube (/ PI 2)) (* (+ b a) (- b a))) (* (* (+ b a) (- b a)) (* (+ b a) (- b a)))) * * * * [misc]progress: [ 105 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI 2) (+ b a)) (- b a))) * * * * [misc]progress: [ 106 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (cube (/ (/ (/ PI 2) (- b a)) (+ b a))) * [exit]simplify: Simplified to (cube (/ (/ (/ PI 2) (- b a)) (+ b a))) * * * * [misc]progress: [ 107 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ 1 (* (+ b a) (- b a))))) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ 1 (* (+ b a) (- b a))))) * * * * [misc]progress: [ 108 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ PI 2) (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (225 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (+ b a)) (- b a))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI 2) (+ b a)) (- b a))) * * * * [misc]progress: [ 109 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ PI 2)) (sqrt (/ 1 (- (sqr b) (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (sqrt (/ PI 2)) (sqrt (/ 1 (* (+ b a) (- b a))))) * [exit]simplify: Simplified to (* (sqrt (/ PI 2)) (sqrt (/ 1 (* (+ b a) (- b a))))) * * * * [misc]progress: [ 110 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * [enter]simplify: Simplifying (* 2 (- (sqr b) (sqr a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (* (* (+ b a) 2) (- b a)) * [exit]simplify: Simplified to (* (* (+ b a) 2) (- b a)) * * * * [misc]progress: [ 111 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 121 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 114 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 115 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (/ 1 (- (pow (sqr b) 3) (pow (sqr a) 3)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- (sqr (cube b)) (cube (* a a)))) * [exit]simplify: Simplified to (/ (/ PI 2) (- (sqr (cube b)) (cube (* a a)))) * * * * [misc]progress: [ 116 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (/ 1 (- (sqr (sqr b)) (sqr (sqr a))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- (* (* b b) (* b b)) (* (* a a) (* a a)))) * [exit]simplify: Simplified to (/ (/ PI 2) (- (* (* b b) (* b b)) (* (* a a) (* a a)))) * * * * [misc]progress: [ 117 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (/ PI 2) (* (+ b a) (- b a))) * * * * [misc]progress: [ 118 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 2) (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 2) (* (- b a) (+ a b))) * * * * [misc]progress: [ 119 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) 1) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * * * * [misc]progress: [ 120 / 121 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (- (sqr b) (sqr a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ PI (- (* b b) (* a a))) * [exit]simplify: Simplified to (/ PI (- (* b b) (* a a))) * * * * [misc]progress: [ 121 / 121 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (sqr b))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (sqr b)) * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ a b)) (* 2 (* a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (* 2 (* a b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) * [misc]backup-simplify: Simplify (/ (/ PI a) (* 2 a)) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (sqr b))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (sqr b))) (* 2 b)) (+ (* (* 1/2 (/ PI (sqr b))) (/ 0 (* 2 b))))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (sqr b))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) (* 2 b)) (+ (* (* 1/2 (/ PI (sqr b))) (/ 0 (* 2 b))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 (* 2 b))))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (sqr b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (sqr b)) (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))) (* (- (* 1/2 PI)) (/ 0 (/ 2 b))))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI b) (/ 2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 2 b))))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (sqr b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (sqr b))) (/ 2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 2 b))) (* (* 1/2 PI) (/ 0 (/ 2 b))))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* 2 (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 2 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* 2 (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 3 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* 2 (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 4 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 7 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (/ PI (+ b a))) * [exit]simplify: Simplified to (expm1 (/ PI (+ b a))) * * * * [misc]progress: [ 8 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (/ PI (+ b a))) * [exit]simplify: Simplified to (log1p (/ PI (+ b a))) * * * * [misc]progress: [ 9 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (/ PI (+ b a))) * [exit]simplify: Simplified to (log (/ PI (+ b a))) * * * * [misc]progress: [ 11 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (/ PI (+ b a))) * [exit]simplify: Simplified to (exp (/ PI (+ b a))) * * * * [misc]progress: [ 12 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ PI (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (+ b a))) * [exit]simplify: Simplified to (cbrt (/ PI (+ b a))) * * * * [misc]progress: [ 13 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ PI (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (cube (/ PI (+ b a))) * [exit]simplify: Simplified to (cube (/ PI (+ b a))) * * * * [misc]progress: [ 14 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ b a))) * [exit]simplify: Simplified to (sqrt (/ PI (+ b a))) * * * * [misc]progress: [ 15 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * [enter]simplify: Simplifying (- (+ a b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (+ a b)) * [exit]simplify: Simplified to (- (+ a b)) * * * * [misc]progress: [ 16 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 18 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (+ a b) PI) * [exit]simplify: Simplified to (/ (+ a b) PI) * * * * [misc]progress: [ 19 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ PI 1) * [exit]simplify: Simplified to (/ PI 1) * * * * [misc]progress: [ 20 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * [exit]simplify: Simplified to (/ PI (- (cube a) (cube b))) * [exit]simplify: Simplified to (/ PI (- (cube a) (cube b))) * * * * [misc]progress: [ 21 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (- (sqr a) (sqr b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- a b)) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (- a b)) * * * * [misc]progress: [ 22 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ PI (+ a b)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ PI (+ b a)) (* (* 2 a) b))) * [exit]simplify: Simplified to (expm1 (/ (/ PI (+ b a)) (* (* 2 a) b))) * * * * [misc]progress: [ 23 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ PI (+ a b)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (log1p (/ (/ PI (+ b a)) (* (* 2 a) b))) * [exit]simplify: Simplified to (log1p (/ (/ PI (+ b a)) (* (* 2 a) b))) * * * * [misc]progress: [ 24 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ PI (+ a b))) (log (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (- (log (/ PI (+ b a))) (log (* b (* 2 a)))) * [exit]simplify: Simplified to (- (log (/ PI (+ b a))) (log (* b (* 2 a)))) * * * * [misc]progress: [ 26 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ PI (+ a b)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (log (/ (/ PI (+ b a)) (* (* a b) 2))) * [exit]simplify: Simplified to (log (/ (/ PI (+ b a)) (* (* a b) 2))) * * * * [misc]progress: [ 27 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ PI (+ a b)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (exp (/ (/ PI (+ b a)) (* (* 2 a) b))) * [exit]simplify: Simplified to (exp (/ (/ PI (+ b a)) (* (* 2 a) b))) * * * * [misc]progress: [ 28 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (/ PI (+ a b))) (cube (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (330 enodes) * [exit]simplify: Simplified to (/ (cube (/ PI (+ b a))) (cube (* 2 (* a b)))) * [exit]simplify: Simplified to (/ (cube (/ PI (+ b a))) (cube (* 2 (* a b)))) * * * * [misc]progress: [ 29 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ PI (+ a b)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI (+ b a)) (* (* 2 a) b))) * [exit]simplify: Simplified to (cbrt (/ (/ PI (+ b a)) (* (* 2 a) b))) * * * * [misc]progress: [ 30 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (/ PI (+ a b)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (cube (/ (/ PI (+ b a)) (* (* 2 b) a))) * [exit]simplify: Simplified to (cube (/ (/ PI (+ b a)) (* (* 2 b) a))) * * * * [misc]progress: [ 31 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* a b)))) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* a b)))) * * * * [misc]progress: [ 32 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI (+ a b)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI (+ b a)) (* (* 2 a) b))) * [exit]simplify: Simplified to (sqrt (/ (/ PI (+ b a)) (* (* 2 a) b))) * * * * [misc]progress: [ 33 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ PI (+ a b))) (sqrt (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ b a))) (sqrt (* 2 (* a b)))) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ b a))) (sqrt (* 2 (* a b)))) * * * * [misc]progress: [ 34 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI (+ a b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (- PI) (+ b a)) * [exit]simplify: Simplified to (/ (- PI) (+ b a)) * [enter]simplify: Simplifying (- (* 2 (* a b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (* a 2) (- b)) * [exit]simplify: Simplified to (* (* a 2) (- b)) * * * * [misc]progress: [ 35 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ PI (+ a b)) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ PI (* (+ b a) (* a b))) * [exit]simplify: Simplified to (/ PI (* (+ b a) (* a b))) * * * * [misc]progress: [ 36 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI 2) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI 2) * [exit]simplify: Simplified to (/ PI 2) * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) (* a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 a) (+ b a)) b) * [exit]simplify: Simplified to (/ (/ (/ 1 a) (+ b a)) b) * * * * [misc]progress: [ 37 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (pow a 3) (pow b 3))) 2) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (- (cube a) (cube b))) * [exit]simplify: Simplified to (/ (/ PI 2) (- (cube a) (cube b))) * [enter]simplify: Simplifying (/ (+ (sqr a) (- (sqr b) (* a b))) (* a b)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (- (/ b a) (/ (- b a) b)) * [exit]simplify: Simplified to (- (/ b a) (/ (- b a) b)) * * * * [misc]progress: [ 38 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (- (sqr a) (sqr b))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* (- a b) 2)) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* (- a b) 2)) * [enter]simplify: Simplifying (/ (- a b) (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (- a b) (* b a)) * [exit]simplify: Simplified to (/ (- a b) (* b a)) * * * * [misc]progress: [ 39 / 47 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 2 (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 b) (* 2 a)) * [exit]simplify: Simplified to (/ (/ 1 b) (* 2 a)) * * * * [misc]progress: [ 41 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (* a b)) (/ PI (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (/ PI (* a b))) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (/ PI (* a b))) * * * * [misc]progress: [ 42 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (+ a b)) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * [exit]simplify: Simplified to (/ (/ PI 2) (+ b a)) * * * * [misc]progress: [ 43 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (* a b)) (/ PI (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (/ PI (* a b))) * [exit]simplify: Simplified to (/ (* 2 (+ b a)) (/ PI (* a b))) * * * * [misc]progress: [ 44 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (* a b)) (/ 1 (+ a b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (/ (* (* b 2) a) (/ 1 (+ b a))) * [exit]simplify: Simplified to (/ (* (* b 2) a) (/ 1 (+ b a))) * * * * [misc]progress: [ 45 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (* a b)) (+ (sqr a) (- (sqr b) (* a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (/ (* (* b 2) a) (fma b (- b a) (* a a))) * [exit]simplify: Simplified to (/ (* (* b 2) a) (fma b (- b a) (* a a))) * * * * [misc]progress: [ 46 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (* a b)) (- a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ a (/ (- a b) (* b 2))) * [exit]simplify: Simplified to (/ a (/ (- a b) (* b 2))) * * * * [misc]progress: [ 47 / 47 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 (* a b)) (+ a b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (* (+ b a) (* (* b 2) a)) * [exit]simplify: Simplified to (* (+ b a) (* (* b 2) a)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (+ a b) PI) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a PI) into (/ a PI) * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]taylor: Taking taylor expansion of (/ b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ b PI) (/ 0 PI)))) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (* b 1)) (* (/ 1 PI) (* 1 a))) into (+ (/ b PI) (/ a PI)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (/ 1 b) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b PI)) in b * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (* 1 (/ 1 (/ 1 a)))) (* (/ 1 PI) (* (/ 1 (/ 1 b)) 1))) into (+ (/ a PI) (/ b PI)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) PI) (+ (* (/ -1 PI) (/ 0 PI)))) into (- (/ 1 (* b PI))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* b PI))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* b PI)) in b * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (/ 1 PI)) into (- (/ 1 PI)) * [misc]backup-simplify: Simplify (- (/ 1 PI)) into (- (/ 1 PI)) * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) (* 1 (/ 1 (/ 1 (- a))))) (* (- (/ 1 PI)) (* (/ 1 (/ 1 (- b))) 1))) into (+ (/ a PI) (/ b PI)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (+ a b) PI)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ a b) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a PI) into (/ a PI) * [misc]backup-simplify: Simplify (/ 1 (/ a PI)) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ a b) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ a b) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ b PI) (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ PI b) (/ (/ 1 PI) (/ b PI))))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ PI b) (/ 0 (/ b PI))) (* (- (/ PI (sqr b))) (/ (/ 1 PI) (/ b PI))))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (/ 1 b) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) * [misc]backup-simplify: Simplify (- (+ (* PI (/ (/ 1 (* b PI)) (/ 1 PI))))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* PI (/ 0 (/ 1 PI))) (* (- (/ PI b)) (/ (/ 1 (* b PI)) (/ 1 PI))))) into (/ PI (sqr b)) * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) PI) (+ (* (/ -1 PI) (/ 0 PI)))) into (- (/ 1 (* b PI))) * [misc]backup-simplify: Simplify (- (+ (* (* -1 PI) (/ (- (/ 1 (* b PI))) (/ -1 PI))))) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 PI) (/ 0 (/ -1 PI))) (* (/ PI b) (/ (- (/ 1 (* b PI))) (/ -1 PI))))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ a b) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a PI) into (/ a PI) * [misc]backup-simplify: Simplify (/ 1 (/ a PI)) into (/ PI a) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) * [misc]backup-simplify: Simplify (/ (/ PI a) (* 2 a)) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ a b) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ a b) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]backup-simplify: Simplify (/ 1 (/ b PI)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ b PI) (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ PI b) (/ (/ 1 PI) (/ b PI))))) into (- (/ PI (sqr b))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (sqr b))) (* 2 b)) (+ (* (* 1/2 (/ PI (sqr b))) (/ 0 (* 2 b))))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ PI b) (/ 0 (/ b PI))) (* (- (/ PI (sqr b))) (/ (/ 1 PI) (/ b PI))))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) (* 2 b)) (+ (* (* 1/2 (/ PI (sqr b))) (/ 0 (* 2 b))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 (* 2 b))))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) (* 2 (* (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) (* 2 (* (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 a) (/ 1 b)) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 1 PI)) into PI * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (/ 1 b) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) * [misc]backup-simplify: Simplify (- (+ (* PI (/ (/ 1 (* b PI)) (/ 1 PI))))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* PI (/ 0 (/ 1 PI))) (* (- (/ PI b)) (/ (/ 1 (* b PI)) (/ 1 PI))))) into (/ PI (sqr b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (sqr b)) (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))) (* (- (* 1/2 PI)) (/ 0 (/ 2 b))))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -1 PI)) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) PI) (+ (* (/ -1 PI) (/ 0 PI)))) into (- (/ 1 (* b PI))) * [misc]backup-simplify: Simplify (- (+ (* (* -1 PI) (/ (- (/ 1 (* b PI))) (/ -1 PI))))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI b) (/ 2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 2 b))))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 PI) (/ 0 (/ -1 PI))) (* (/ PI b) (/ (- (/ 1 (* b PI))) (/ -1 PI))))) into (- (/ PI (sqr b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (sqr b))) (/ 2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 2 b))) (* (* 1/2 PI) (/ 0 (/ 2 b))))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ (/ b PI) (/ a PI))) (* 2 (* a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (/ a PI) (/ b PI))) (* (* 2 a) b)) * * * * [misc]progress: [ 2 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ (/ a PI) (/ b PI))) (* 2 (* a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (/ b PI) (+ b a)) (* 2 a))) * * * * [misc]progress: [ 3 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ (/ a PI) (/ b PI))) (* 2 (* a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (309 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (/ b PI) (+ b a)) (* 2 a))) * * * * [misc]progress: [ 4 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* 2 (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 5 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* 2 (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 6 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* 2 (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 7 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 8 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 9 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 10 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (+ a b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (expm1 (/ (+ a b) PI)) * [exit]simplify: Simplified to (expm1 (/ (+ a b) PI)) * * * * [misc]progress: [ 11 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (+ a b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log1p (/ (+ a b) PI)) * [exit]simplify: Simplified to (log1p (/ (+ a b) PI)) * * * * [misc]progress: [ 12 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ a b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (log (/ (+ a b) PI)) * [exit]simplify: Simplified to (log (/ (+ a b) PI)) * * * * [misc]progress: [ 14 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ a b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (/ (+ a b) PI)) * [exit]simplify: Simplified to (exp (/ (+ a b) PI)) * * * * [misc]progress: [ 15 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ a b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ a b) PI)) * [exit]simplify: Simplified to (cbrt (/ (+ a b) PI)) * * * * [misc]progress: [ 16 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (+ a b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (cube (/ (+ a b) PI)) * [exit]simplify: Simplified to (cube (/ (+ a b) PI)) * * * * [misc]progress: [ 17 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ a b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ a b) PI)) * [exit]simplify: Simplified to (sqrt (/ (+ a b) PI)) * * * * [misc]progress: [ 18 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ a b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (- (+ a b)) * [exit]simplify: Simplified to (- (+ a b)) * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * * * * [misc]progress: [ 19 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 PI) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 PI) * [exit]simplify: Simplified to (/ 1 PI) * * * * [misc]progress: [ 21 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [exit]simplify: Simplified to (/ PI (+ b a)) * * * * [misc]progress: [ 22 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [exit]simplify: Simplified to (/ PI (+ b a)) * * * * [misc]progress: [ 23 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (+ (sqr a) (- (sqr b) (* a b)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (fma b (- b a) (* a a)) PI) * [exit]simplify: Simplified to (* (fma b (- b a) (* a a)) PI) * * * * [misc]progress: [ 24 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (- a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (* PI (- a b)) * [exit]simplify: Simplified to (* PI (- a b)) * * * * [misc]progress: [ 25 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (expm1 (/ PI (+ b a))) * [exit]simplify: Simplified to (expm1 (/ PI (+ b a))) * * * * [misc]progress: [ 26 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (log1p (/ PI (+ b a))) * [exit]simplify: Simplified to (log1p (/ PI (+ b a))) * * * * [misc]progress: [ 27 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (log (/ (+ a b) PI))) * [exit]simplify: Simplified to (- (log (/ (+ a b) PI))) * * * * [misc]progress: [ 30 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (/ PI (+ b a))) * [exit]simplify: Simplified to (log (/ PI (+ b a))) * * * * [misc]progress: [ 31 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (/ PI (+ b a))) * [exit]simplify: Simplified to (exp (/ PI (+ b a))) * * * * [misc]progress: [ 32 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (+ b a))) * [exit]simplify: Simplified to (cbrt (/ PI (+ b a))) * * * * [misc]progress: [ 33 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (cube (/ PI (+ b a))) * [exit]simplify: Simplified to (cube (/ PI (+ b a))) * * * * [misc]progress: [ 34 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (+ b a))) * [exit]simplify: Simplified to (sqrt (/ PI (+ b a))) * * * * [misc]progress: [ 35 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (/ (+ a b) PI)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (- (+ a b)) PI) * [exit]simplify: Simplified to (/ (- (+ a b)) PI) * * * * [misc]progress: [ 36 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ a b) PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ PI (+ b a)) * [exit]simplify: Simplified to (/ PI (+ b a)) * * * * [misc]progress: [ 38 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ a b) PI) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (+ a b) PI) * [exit]simplify: Simplified to (/ (+ a b) PI) * * * * [misc]progress: [ 39 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 40 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 41 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 42 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ (/ PI b) (+ b a)) (* a 2))) * [exit]simplify: Simplified to (expm1 (/ (/ (/ PI b) (+ b a)) (* a 2))) * * * * [misc]progress: [ 43 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (log1p (/ (/ (/ PI b) (+ b a)) (* a 2))) * [exit]simplify: Simplified to (log1p (/ (/ (/ PI b) (+ b a)) (* a 2))) * * * * [misc]progress: [ 44 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (/ (+ a b) PI))) (log (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * [exit]simplify: Simplified to (- (- (log (/ (+ a b) PI))) (log (* b (* 2 a)))) * [exit]simplify: Simplified to (- (- (log (/ (+ a b) PI))) (log (* b (* 2 a)))) * * * * [misc]progress: [ 46 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (/ (+ a b) PI))) (log (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (log (/ PI (+ b a))) (log (* 2 (* a b)))) * [exit]simplify: Simplified to (- (log (/ PI (+ b a))) (log (* 2 (* a b)))) * * * * [misc]progress: [ 47 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (log (/ (/ (/ PI b) a) (* (+ b a) 2))) * [exit]simplify: Simplified to (log (/ (/ (/ PI b) a) (* (+ b a) 2))) * * * * [misc]progress: [ 48 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * * [misc]simplify: iters left: 1 (446 enodes) * [exit]simplify: Simplified to (exp (/ (/ PI (* a b)) (* (+ b a) 2))) * [exit]simplify: Simplified to (exp (/ (/ PI (* a b)) (* (+ b a) 2))) * * * * [misc]progress: [ 49 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (/ 1 (/ (+ a b) PI))) (cube (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * [exit]simplify: Simplified to (/ (cube (/ PI (+ b a))) (cube (* 2 (* a b)))) * [exit]simplify: Simplified to (/ (cube (/ PI (+ b a))) (cube (* 2 (* a b)))) * * * * [misc]progress: [ 50 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI b) (+ b a)) (* a 2))) * [exit]simplify: Simplified to (cbrt (/ (/ (/ PI b) (+ b a)) (* a 2))) * * * * [misc]progress: [ 51 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (cube (/ (/ PI (+ b a)) (* a (* 2 b)))) * [exit]simplify: Simplified to (cube (/ (/ PI (+ b a)) (* a (* 2 b)))) * * * * [misc]progress: [ 52 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 1 (/ (+ a b) PI))) (cbrt (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* a b)))) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* a b)))) * * * * [misc]progress: [ 53 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (/ (+ a b) PI)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI b) (+ b a)) (* a 2))) * [exit]simplify: Simplified to (sqrt (/ (/ (/ PI b) (+ b a)) (* a 2))) * * * * [misc]progress: [ 54 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (/ (+ a b) PI))) (sqrt (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ b a))) (sqrt (* 2 (* a b)))) * [exit]simplify: Simplified to (/ (sqrt (/ PI (+ b a))) (sqrt (* 2 (* a b)))) * * * * [misc]progress: [ 55 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (- PI) (+ b a)) * [exit]simplify: Simplified to (/ (- PI) (+ b a)) * [enter]simplify: Simplifying (- (* 2 (* a b))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (* (* a 2) (- b)) * [exit]simplify: Simplified to (* (* a 2) (- b)) * * * * [misc]progress: [ 56 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ 1 (/ (+ a b) PI)) (* a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI b) a) (+ b a)) * [exit]simplify: Simplified to (/ (/ (/ PI b) a) (+ b a)) * * * * [misc]progress: [ 57 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 2) * [exit]simplify: Simplified to (/ 1 2) * [enter]simplify: Simplifying (/ (/ 1 (/ (+ a b) PI)) (* a b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI b) a) (+ b a)) * [exit]simplify: Simplified to (/ (/ (/ PI b) a) (+ b a)) * * * * [misc]progress: [ 58 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ a b)) 2) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (+ b a)) * [exit]simplify: Simplified to (/ (/ 1 2) (+ b a)) * [enter]simplify: Simplifying (/ PI (* a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ PI (* a b)) * [exit]simplify: Simplified to (/ PI (* a b)) * * * * [misc]progress: [ 59 / 66 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 2 (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 b) (* 2 a)) * [exit]simplify: Simplified to (/ (/ 1 b) (* 2 a)) * * * * [misc]progress: [ 61 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (* a b)) (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (/ (* a (* b 2)) (/ PI (+ b a))) * [exit]simplify: Simplified to (/ (* a (* b 2)) (/ PI (+ b a))) * * * * [misc]progress: [ 62 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (+ a b) PI)) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ PI (* (+ b a) 2)) * [exit]simplify: Simplified to (/ PI (* (+ b a) 2)) * * * * [misc]progress: [ 63 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (* a b)) (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (/ (* a (* b 2)) (/ PI (+ b a))) * [exit]simplify: Simplified to (/ (* a (* b 2)) (/ PI (+ b a))) * * * * [misc]progress: [ 64 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (* a b)) (/ 1 (/ (+ a b) PI))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (/ (* a (* b 2)) (/ PI (+ b a))) * [exit]simplify: Simplified to (/ (* a (* b 2)) (/ PI (+ b a))) * * * * [misc]progress: [ 65 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 (* a b)) PI) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (* a 2) (/ PI b)) * [exit]simplify: Simplified to (/ (* a 2) (/ PI b)) * * * * [misc]progress: [ 66 / 66 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* 2 (* a b)) (/ (+ a b) PI)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (/ (* a 2) (/ (/ PI b) (+ b a))) * [exit]simplify: Simplified to (/ (* a 2) (/ (/ PI b) (+ b a))) * * * [misc]progress: adding candidates to table * * [misc]progress: Final touches. * * * [misc]progress: tayloring alt 1 of 9 * [misc]approximate: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (/ 1 (sqr b)) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (- (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ -1 (sqr a))) into (* -1/2 (/ PI (sqr a))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (* -1/2 (/ PI (sqr a))) -1) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 0 (- (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (/ -1 (sqr a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ PI (sqr a))) (/ 1 a)) (* 0 -1)) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 1 (- (sqr a)))) (* 0 (/ 0 (- (sqr a)))))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (- (/ 1 (pow a 4)))) (+ (* 0 0) (* 0 (/ -1 (sqr a))))) into (- (* 1/2 (/ PI (pow a 4)))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ PI (sqr a))) 0) (+ (* 0 (/ 1 a)) (* (- (* 1/2 (/ PI (pow a 4)))) -1))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ 1 (/ 1 b)) into b * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ 1 (/ 1 a)) into a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* (* 1/2 PI) a) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) -1) (* 0 a)) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* a (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (/ 1 (sqr a))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ PI (sqr a))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 -1) (* (* 1/2 (/ PI (sqr a))) a))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ 1 (/ -1 b)) into (* -1 b) * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ 1 (/ -1 a)) into (* -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1 a) 0) into (- a) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (- a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 1) (* 0 (- a))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1 a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (/ 1 (sqr a))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ PI (sqr a))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 1) (* (* 1/2 (/ PI (sqr a))) (- a)))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (- (sqr b) (sqr a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]taylor: Taking taylor expansion of (- (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (sqr (* a 1))) (* 1 (sqr (* 1 b)))) into (- (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 b))))) (* -1 (sqr (* (/ 1 (/ 1 a)) 1)))) into (- (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- b)))))) (* -1 (sqr (* (/ 1 (/ 1 (- a))) 1)))) into (- (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (/ 1 (sqr b)) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ -1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 0 (- (sqr a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 1 (- (sqr a)))) (* 0 (/ 0 (- (sqr a)))))) into (- (/ 1 (pow a 4))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (/ 1 (sqr b)) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ -1 (sqr a))) into (* -1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (* -1/2 (/ PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 0 (- (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 (/ -1 (sqr a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 1 (- (sqr a)))) (* 0 (/ 0 (- (sqr a)))))) into (- (/ 1 (pow a 4))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (- (/ 1 (pow a 4)))) (+ (* 0 0) (* 0 (/ -1 (sqr a))))) into (- (* 1/2 (/ PI (pow a 4)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 4)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (/ 1 (sqr a))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (/ PI 2) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI 2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (* 0 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) (/ 1 (sqr a))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: tayloring alt 2 of 9 * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ PI (+ a b)) (* 2 (* a b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ PI (+ a b)) (* 2 (* a b)))) in b * [misc]backup-simplify: Simplify (cbrt (/ (/ PI (+ a b)) (* 2 (* a b)))) into (cbrt (* 1/2 (/ PI (* b (* a (+ b a)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ PI (+ a b)) (* 2 (* a b)))) in a * [misc]backup-simplify: Simplify (cbrt (/ (/ PI (+ a b)) (* 2 (* a b)))) into (cbrt (* 1/2 (/ PI (* b (* a (+ b a)))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ PI (+ a b)) (* 2 (* a b)))) in a * [misc]backup-simplify: Simplify (cbrt (/ (/ PI (+ a b)) (* 2 (* a b)))) into (cbrt (* 1/2 (/ PI (* b (* a (+ b a)))))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/2 (/ PI (* b (* a (+ b a)))))) in b * [misc]backup-simplify: Simplify (cbrt (* 1/2 (/ PI (* b (* a (+ b a)))))) into (cbrt (* 1/2 (/ PI (* b (* a (+ b a)))))) * [misc]backup-simplify: Simplify (cbrt (* 1/2 (/ PI (* b (* a (+ b a)))))) into (cbrt (* 1/2 (/ PI (* b (* a (+ b a)))))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* 1/2 (/ PI (* b (* a (+ b a)))))) into (cbrt (* 1/2 (/ PI (* b (* a (+ b a)))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b))))) in b * [misc]backup-simplify: Simplify (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b))))) into (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b))))) in a * [misc]backup-simplify: Simplify (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b))))) into (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b))))) in a * [misc]backup-simplify: Simplify (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b))))) into (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) in b * [misc]backup-simplify: Simplify (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) into (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]backup-simplify: Simplify (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) into (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) into (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in b * [misc]backup-simplify: Simplify (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) into (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in a * [misc]backup-simplify: Simplify (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) into (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in a * [misc]backup-simplify: Simplify (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) into (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) in b * [misc]backup-simplify: Simplify (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) into (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]backup-simplify: Simplify (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) into (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) into (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ a b)) (* 2 (* a b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ a b)) (* 2 (* a b))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ PI (+ a b)) (* 2 (* a b))))) into (* 1/2 (/ PI (* b (* a (+ b a))))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ a b)) (* 2 (* a b))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ PI (+ a b)) (* 2 (* a b))))) into (* 1/2 (/ PI (* b (* a (+ b a))))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ a b)) (* 2 (* a b))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ PI (+ a b)) (* 2 (* a b))))) into (* 1/2 (/ PI (* b (* a (+ b a))))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (* b (* a (+ b a))))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (* b (* a (+ b a)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* b (* a (+ b a))) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a (+ b a)) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (* 0 (sqr a)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 a) (* 1 (sqr a))) into (sqr a) * [misc]backup-simplify: Simplify (/ PI (sqr a)) into (/ PI (sqr a)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 1) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 a) (* 0 (sqr a)))) into a * [misc]backup-simplify: Simplify (- (/ 0 (sqr a)) (+ (* (/ PI (sqr a)) (/ a (sqr a))))) into (- (/ PI (pow a 3))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (/ PI (pow a 3)))) (* 0 (/ PI (sqr a)))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI (pow a 3)))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 1) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 a) (* 0 (sqr a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr a)) (+ (* (/ PI (sqr a)) (/ 0 (sqr a))) (* (- (/ PI (pow a 3))) (/ a (sqr a))))) into (/ PI (pow a 4)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ PI (pow a 4))) (+ (* 0 (- (/ PI (pow a 3)))) (* 0 (/ PI (sqr a))))) into (* 1/2 (/ PI (pow a 4))) * [misc]backup-simplify: Simplify (* 1/2 (/ PI (pow a 4))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 a) (* 0 (sqr a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sqr a)) (+ (* (/ PI (sqr a)) (/ 0 (sqr a))) (* (- (/ PI (pow a 3))) (/ 0 (sqr a))) (* (/ PI (pow a 4)) (/ a (sqr a))))) into (- (/ PI (pow a 5))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (/ PI (pow a 5)))) (+ (* 0 (/ PI (pow a 4))) (+ (* 0 (- (/ PI (pow a 3)))) (* 0 (/ PI (sqr a)))))) into (- (* 1/2 (/ PI (pow a 5)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI (pow a 5)))) into (- (* 1/2 (/ PI (pow a 5)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ PI (pow a 5)))) (sqr (* b 1))) (+ (* (* 1/2 (/ PI (pow a 4))) (* b 1)) (- (* 1/2 (/ PI (pow a 3)))))) into (- (* 1/2 (/ (* PI b) (pow a 4))) (+ (* 1/2 (/ (* PI (sqr b)) (pow a 5))) (* 1/2 (/ PI (pow a 3))))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))))) into (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))))) into (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))))) into (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* PI (* b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* PI a) (* 0 0)) into (* PI a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* PI a) 1) into (* PI a) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* PI a)) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (* 1/2 (* PI a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 a) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI a) (/ (/ 1 a) 1)))) into (- PI) * [misc]backup-simplify: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI a))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 a) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI a) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* PI a)))) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI a)) (pow (* (/ 1 b) 1) 4)) (+ (* (- (* 1/2 PI)) (pow (* (/ 1 b) 1) 3)) (* (* 1/2 (* PI a)) (sqr (* (/ 1 b) 1))))) into (- (+ (* 1/2 (/ (* PI a) (sqr b))) (* 1/2 (/ PI (* (pow b 4) a)))) (* 1/2 (/ PI (pow b 3)))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) into (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) into (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) into (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* PI (* b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* PI a) (* 0 0)) into (* PI a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* PI a) 1) into (* PI a) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 (* PI a)) into (* -1/2 (* PI a)) * [misc]backup-simplify: Simplify (* -1/2 (* PI a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 a) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI a) (/ (/ 1 a) 1)))) into (- PI) * [misc]backup-simplify: Simplify (+ (* -1/2 (- PI)) (* 0 (* PI a))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 a) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI a) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) * [misc]backup-simplify: Simplify (+ (* -1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* PI a)))) into (- (* 1/2 (/ PI a))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI a))) into (- (* 1/2 (/ PI a))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ PI a))) (pow (* (/ 1 (- b)) 1) 4)) (+ (* (* 1/2 PI) (pow (* (/ 1 (- b)) 1) 3)) (* (* -1/2 (* PI a)) (sqr (* (/ 1 (- b)) 1))))) into (- (+ (* 1/2 (/ (* PI a) (sqr b))) (+ (* 1/2 (/ PI (* (pow b 4) a))) (* 1/2 (/ PI (pow b 3)))))) * [misc]approximate: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (sqr b))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (sqr b)) * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ a b)) (* 2 (* a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (* 2 (* a b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) * [misc]backup-simplify: Simplify (/ (/ PI a) (* 2 a)) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ a b)) (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (sqr b))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (sqr b))) (* 2 b)) (+ (* (* 1/2 (/ PI (sqr b))) (/ 0 (* 2 b))))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (sqr b))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) (* 2 b)) (+ (* (* 1/2 (/ PI (sqr b))) (/ 0 (* 2 b))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 (* 2 b))))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 a) (/ 1 b))) (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (sqr b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (sqr b)) (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))) (* (- (* 1/2 PI)) (/ 0 (/ 2 b))))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI b) (/ 2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 2 b))))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (sqr b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (sqr b))) (/ 2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 2 b))) (* (* 1/2 PI) (/ 0 (/ 2 b))))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: tayloring alt 3 of 9 * [misc]approximate: Taking taylor expansion of (/ 1 (* 2 (* a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* a b))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) * [misc]backup-simplify: Simplify (/ 1 (* 2 a)) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1/2 1) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 b) (/ 0 (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 b) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* b a)) * [misc]approximate: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ 1 (/ 2 a)) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ 1 (/ 2 b)) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ 1 (/ 2 b)) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 b) (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 b) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 b) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 b) (/ 1 a))) into (/ 1/2 (* b a)) * [misc]approximate: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ 1 (/ 2 a)) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ 1 (/ 2 b)) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ 1 (/ 2 b)) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* 1/2 b) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 b) (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 b) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 b) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ 1/2 (* b a)) * [misc]approximate: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (sqr b))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (sqr b)) * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ PI (+ a b)) (/ 1 (* 2 (* a b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI (+ a b)) (/ 1 (* 2 (* a b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* a b))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) * [misc]backup-simplify: Simplify (/ 1 (* 2 a)) into (/ 1/2 a) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ a b)) (/ 1 (* 2 (* a b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ a b)) (/ 1 (* 2 (* a b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ 1 (* 2 b)) into (/ 1/2 b) * [misc]backup-simplify: Simplify (* (/ PI b) (/ 1/2 b)) into (* 1/2 (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 b) (/ 0 (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (sqr b))) * [misc]backup-simplify: Simplify (+ (* (/ PI b) 0) (* (- (/ PI (sqr b))) (/ 1/2 b))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1/2 b) (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (sqr b))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (/ PI b) 0) (+ (* (- (/ PI (sqr b))) 0) (* (/ PI (pow b 3)) (/ 1/2 b)))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ PI (+ (/ 1 a) (/ 1 b))) (/ 1 (* 2 (* (/ 1 a) (/ 1 b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 a) (/ 1 b))) (/ 1 (* 2 (* (/ 1 a) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ 1 (/ 2 a)) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 a) (/ 1 b))) (/ 1 (* 2 (* (/ 1 a) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ 1 (/ 2 b)) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 a) (/ 1 b))) (/ 1 (* 2 (* (/ 1 a) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ 1 (/ 2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (* PI (* 1/2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 b) (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (+ (* PI 0) (* (- (/ PI b)) (* 1/2 b))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 b) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (sqr b)) * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* (- (/ PI b)) 0) (* (/ PI (sqr b)) (* 1/2 b)))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ 1 (/ 2 a)) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ 1 (/ 2 b)) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (* (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ 1 (/ 2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (* (* -1 PI) (* 1/2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 b) (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (* (/ PI b) (* 1/2 b))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 b) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (sqr b))) * [misc]backup-simplify: Simplify (+ (* (* -1 PI) 0) (+ (* (/ PI b) 0) (* (- (/ PI (sqr b))) (* 1/2 b)))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: tayloring alt 4 of 9 * [misc]approximate: Taking taylor expansion of (* (* (/ b PI) (+ b a)) (* 2 a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ b PI) (+ b a)) (* 2 a)) in a * [misc]taylor: Taking taylor expansion of (* (/ b PI) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (/ b PI) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ b PI) (+ b a)) (* 2 a)) in b * [misc]taylor: Taking taylor expansion of (* (/ b PI) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (* (/ b PI) (+ b a)) (* 2 a)) in b * [misc]taylor: Taking taylor expansion of (* (/ b PI) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (* (/ 1 PI) a) into (/ a PI) * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (* (/ a PI) (* 2 a)) into (* 2 (/ (sqr a) PI)) * [misc]taylor: Taking taylor expansion of (* 2 (/ (sqr a) PI)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ (sqr a) PI) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 1) (* 0 a)) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* (/ a PI) 0) (* (/ 1 PI) (* 2 a))) into (* 2 (/ a PI)) * [misc]taylor: Taking taylor expansion of (* 2 (/ a PI)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 1) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ a PI) 0) (+ (* (/ 1 PI) 0) (* 0 (* 2 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ a PI) 0) (+ (* (/ 1 PI) 0) (+ (* 0 0) (* 0 (* 2 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ a PI) 0) (+ (* (/ 1 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 PI) (* (sqr a) b)) (* (/ 2 PI) (* a (sqr b)))) into (+ (* 2 (/ (* (sqr b) a) PI)) (* 2 (/ (* b (sqr a)) PI))) * [misc]approximate: Taking taylor expansion of (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (/ 1 b) PI) into (/ 1 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 PI) 1) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ 2 a)) into (/ 2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ 2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (/ 1 a)) (* 0 1)) into (/ 1 (* PI a)) * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (* (/ 1 (* PI a)) (/ 2 a))) into (* 2 (/ 1 (* PI (sqr a)))) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* PI (sqr a)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of (* PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (+ (* 0 0) (* 0 0))) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 (/ 1 a)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* (/ 1 (* PI a)) 0) (* 0 (/ 2 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* (/ 1 (* PI a)) 0) (+ (* 0 0) (* 0 (/ 2 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* (/ 1 (* PI a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 2 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 2 PI) (* (/ 1 (/ 1 a)) (/ 1 (sqr (/ 1 b))))) (* (/ 2 PI) (* (/ 1 (sqr (/ 1 a))) (/ 1 (/ 1 b))))) into (+ (* 2 (/ (* (sqr b) a) PI)) (* 2 (/ (* b (sqr a)) PI))) * [misc]approximate: Taking taylor expansion of (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (/ -1 b) PI) into (/ -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 PI) -1) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ -1 a)) into (/ -2 a) * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ -2 a)) into (/ -2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ -2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of -2 in a * [misc]backup-simplify: Simplify -2 into -2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) (- (/ 1 a))) (* 0 -1)) into (/ 1 (* PI a)) * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (* (/ 1 (* PI a)) (/ -2 a))) into (- (* 2 (/ 1 (* PI (sqr a))))) * [misc]taylor: Taking taylor expansion of (- (* 2 (/ 1 (* PI (sqr a))))) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (* PI (sqr a)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of (* PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (+ (* 0 0) (* 0 0))) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ 1 PI)) into (/ 2 PI) * [misc]backup-simplify: Simplify (- (/ 2 PI)) into (- (* 2 (/ 1 PI))) * [misc]backup-simplify: Simplify (- (* 2 (/ 1 PI))) into (- (* 2 (/ 1 PI))) * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 (- (/ 1 a))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* (/ 1 (* PI a)) 0) (* 0 (/ -2 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 a))) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* (/ 1 (* PI a)) 0) (+ (* 0 0) (* 0 (/ -2 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 a))) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* (/ 1 (* PI a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -2 a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 0) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -2 PI) (* (/ 1 (/ 1 (- a))) (/ 1 (sqr (/ 1 (- b)))))) (* (- (* 2 (/ 1 PI))) (* (/ 1 (sqr (/ 1 (- a)))) (/ 1 (/ 1 (- b)))))) into (+ (* 2 (/ (* (sqr b) a) PI)) (* 2 (/ (* b (sqr a)) PI))) * [misc]approximate: Taking taylor expansion of (/ 1 (* (* (/ b PI) (+ b a)) (* 2 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ b PI) (+ b a)) (* 2 a))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ b PI) (+ b a)) (* 2 a)) in a * [misc]taylor: Taking taylor expansion of (* (/ b PI) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (/ b PI) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 2 a) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* (/ b PI) b) into (/ (sqr b) PI) * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (* (/ (sqr b) PI) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ b PI) 1) (* 0 b)) into (/ b PI) * [misc]backup-simplify: Simplify (+ (* (/ (sqr b) PI) 2) (* (/ b PI) 0)) into (* 2 (/ (sqr b) PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (sqr b) PI))) into (* 1/2 (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ b PI) (+ b a)) (* 2 a))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ b PI) (+ b a)) (* 2 a)) in b * [misc]taylor: Taking taylor expansion of (* (/ b PI) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (* (/ 1 PI) a) into (/ a PI) * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (* (/ a PI) (* 2 a)) into (* 2 (/ (sqr a) PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (sqr a) PI))) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ b PI) (+ b a)) (* 2 a))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ b PI) (+ b a)) (* 2 a)) in b * [misc]taylor: Taking taylor expansion of (* (/ b PI) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* 2 a) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (* (/ 1 PI) a) into (/ a PI) * [misc]backup-simplify: Simplify (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (* (/ a PI) (* 2 a)) into (* 2 (/ (sqr a) PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ (sqr a) PI))) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 1) (* 0 a)) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ (* (/ a PI) 0) (* (/ 1 PI) (* 2 a))) into (* 2 (/ a PI)) * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ PI (sqr a))) (/ (* 2 (/ a PI)) (* 2 (/ (sqr a) PI)))))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 1) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ a PI) 0) (+ (* (/ 1 PI) 0) (* 0 (* 2 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ PI (sqr a))) (/ 0 (* 2 (/ (sqr a) PI)))) (* (- (* 1/2 (/ PI (pow a 3)))) (/ (* 2 (/ a PI)) (* 2 (/ (sqr a) PI)))))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (/ 1 b) PI) into (/ 1 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 (* b PI)) 1) into (/ 1 (* b PI)) * [misc]backup-simplify: Simplify (* 2 1) into 2 * [misc]backup-simplify: Simplify (* (/ 1 (* b PI)) 2) into (/ 2 (* b PI)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* b PI))) into (* 1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 PI) 1) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ 2 a)) into (/ 2 (* PI a)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* PI a))) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) (* 2 (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 PI) 1) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ 2 a)) into (/ 2 (* PI a)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* PI a))) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (/ 1 a)) (* 0 1)) into (/ 1 (* PI a)) * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (* (/ 1 (* PI a)) (/ 2 a))) into (* 2 (/ 1 (* PI (sqr a)))) * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* PI a)) (/ (* 2 (/ 1 (* PI (sqr a)))) (/ 2 (* PI a)))))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 (/ 1 a)) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* (/ 1 (* PI a)) 0) (* 0 (/ 2 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* PI a)) (/ 0 (/ 2 (* PI a)))) (* (- (* 1/2 PI)) (/ (* 2 (/ 1 (* PI (sqr a)))) (/ 2 (* PI a)))))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (/ -1 b) PI) into (/ -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 (* b PI)) -1) into (/ 1 (* b PI)) * [misc]backup-simplify: Simplify (* 2 -1) into -2 * [misc]backup-simplify: Simplify (* (/ 1 (* b PI)) -2) into (/ -2 (* b PI)) * [misc]backup-simplify: Simplify (/ 1 (/ -2 (* b PI))) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 PI) -1) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ -1 a)) into (/ -2 a) * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ -2 a)) into (/ -2 (* PI a)) * [misc]backup-simplify: Simplify (/ 1 (/ -2 (* PI a))) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ 1 (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (* (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) (* 2 (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* 2 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 PI) -1) into (/ 1 PI) * [misc]backup-simplify: Simplify (* 2 (/ -1 a)) into (/ -2 a) * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ -2 a)) into (/ -2 (* PI a)) * [misc]backup-simplify: Simplify (/ 1 (/ -2 (* PI a))) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) (- (/ 1 a))) (* 0 -1)) into (/ 1 (* PI a)) * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (* (/ 1 (* PI a)) (/ -2 a))) into (- (* 2 (/ 1 (* PI (sqr a))))) * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* PI a)) (/ (- (* 2 (/ 1 (* PI (sqr a))))) (/ -2 (* PI a)))))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 (- (/ 1 a))) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* (/ 1 (* PI a)) 0) (* 0 (/ -2 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* PI a)) (/ 0 (/ -2 (* PI a)))) (* (* 1/2 PI) (/ (- (* 2 (/ 1 (* PI (sqr a))))) (/ -2 (* PI a)))))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ b PI) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 PI) b) into (/ b PI) * [misc]approximate: Taking taylor expansion of (/ (/ 1 b) PI) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 PI) (/ 1 (/ 1 b))) into (/ b PI) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- b)) PI) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 PI) (/ 1 (/ 1 (- b)))) into (/ b PI) * [misc]approximate: Taking taylor expansion of (* (/ b PI) (+ b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ b PI) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (/ b PI) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ b PI) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (/ b PI) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (* (/ 1 PI) a) into (/ a PI) * [misc]taylor: Taking taylor expansion of (/ a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 1) (* 0 a)) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 1) (* 0 a))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 0) (+ (* 0 1) (* 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (* a b)) (* (/ 1 PI) (sqr (* 1 b)))) into (+ (/ (sqr b) PI) (/ (* b a) PI)) * [misc]approximate: Taking taylor expansion of (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (/ 1 b) PI) into (/ 1 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 b) PI) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 b) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* (/ 1 PI) 1) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (/ 1 a)) (* 0 1)) into (/ 1 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ 1 (* PI a)) in a * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 (/ 1 a)) (* 0 1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 a)) (* 0 1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (sqr (* 1 (/ 1 (/ 1 b))))) (* (/ 1 PI) (* (/ 1 (/ 1 a)) (/ 1 (/ 1 b))))) into (+ (/ (sqr b) PI) (/ (* b a) PI)) * [misc]approximate: Taking taylor expansion of (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ (/ -1 b) PI) into (/ -1 (* b PI)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (* (/ (/ 1 (- b)) PI) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- b)) PI) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* (/ -1 PI) -1) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) (- (/ 1 a))) (* 0 -1)) into (/ 1 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ 1 (* PI a)) in a * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 (- (/ 1 a))) (* 0 -1))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 0) (+ (* 0 (- (/ 1 a))) (* 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (- (/ 1 a))) (* 0 -1))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (sqr (* 1 (/ 1 (/ 1 (- b)))))) (* (/ 1 PI) (* (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b)))))) into (+ (/ (sqr b) PI) (/ (* b a) PI)) * * * [misc]progress: tayloring alt 5 of 9 * [misc]approximate: Taking taylor expansion of (* PI (/ 1 (+ a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ a b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ a b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ a b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 1 b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 (sqr b)))) (* 0 (/ 1 b))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* (- (/ 1 (sqr b))) (/ 1 b)))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* PI (/ 1 (pow b 3))) (+ (* 0 (- (/ 1 (sqr b)))) (* 0 (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ (* PI (/ 1 (sqr b))) (+ (* 0 (- (/ 1 b))) (* 0 1))) into (/ PI (sqr b)) * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 b)) -1)))) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* PI (/ 1 b)) (* 0 -1)) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 b) (/ (- (/ 1 b)) -1)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 (sqr b)))) (+ (* 0 (/ 1 b)) (* 0 -1))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (* PI (/ 1 (+ a b))) (* 2 (* a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (+ a b))) (* 2 (* a b))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ a b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* PI (/ 1 a)) into (/ PI a) * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) * [misc]backup-simplify: Simplify (/ (/ PI a) (* 2 a)) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (+ a b))) (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ a b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (+ a b))) (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ a b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI b) (* 2 b)) into (* 1/2 (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 1 b)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 (sqr b)))) (* 0 (/ 1 b))) into (- (/ PI (sqr b))) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (sqr b))) (* 2 b)) (+ (* (* 1/2 (/ PI (sqr b))) (/ 0 (* 2 b))))) into (- (* 1/2 (/ PI (pow b 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow b 3)))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 3))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* (- (/ 1 (sqr b))) (/ 1 b)))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* PI (/ 1 (pow b 3))) (+ (* 0 (- (/ 1 (sqr b)))) (* 0 (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) (* 2 b)) (+ (* (* 1/2 (/ PI (sqr b))) (/ 0 (* 2 b))) (* (- (* 1/2 (/ PI (pow b 3)))) (/ 0 (* 2 b))))) into (* 1/2 (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 4))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow b 4)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) (* 2 (* (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) (* 2 (* (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* PI 1) into PI * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ PI (/ 2 b)) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 b))) (* 0 1)) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in b * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (sqr b)) * [misc]backup-simplify: Simplify (+ (* PI (/ 1 (sqr b))) (+ (* 0 (- (/ 1 b))) (* 0 1))) into (/ PI (sqr b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (sqr b)) (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))) (* (- (* 1/2 PI)) (/ 0 (/ 2 b))))) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ 1 (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ 2 b)) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI b)) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 b)) -1)))) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* PI (/ 1 b)) (* 0 -1)) into (/ PI b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI b) (/ 2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 2 b))))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 b) (/ (- (/ 1 b)) -1)))) into (- (/ 1 (sqr b))) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 (sqr b)))) (+ (* 0 (/ 1 b)) (* 0 -1))) into (- (/ PI (sqr b))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (sqr b))) (/ 2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ 2 b))) (* (* 1/2 PI) (/ 0 (/ 2 b))))) into (- (* 1/2 (/ PI b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI b)) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 1 b)))) into (- (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* (- (/ 1 (sqr b))) (/ 1 b)))) into (/ 1 (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) * [misc]taylor: Taking taylor expansion of (- (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* -1 (/ (- (/ 1 b)) -1)))) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* (/ 1 b) (/ (- (/ 1 b)) -1)))) into (- (/ 1 (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (sqr b)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: tayloring alt 6 of 9 * [misc]approximate: Taking taylor expansion of (/ PI b) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (/ 1 b)) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ PI (/ 1 (- b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 PI) (/ 1 (- b))) into (/ PI b) * [misc]approximate: Taking taylor expansion of (/ (/ PI b) a) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI b) a) in a * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ PI b) 1) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) a) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ (/ PI b) a) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (* (/ 1 a) (/ 1 b))) into (/ PI (* b a)) * [misc]approximate: Taking taylor expansion of (/ (/ PI (/ 1 b)) (/ 1 a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* PI b) 1) into (* PI b) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* PI a) (/ 0 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* PI a) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* PI a) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (* (/ 1 a) (/ 1 b))) into (/ PI (* b a)) * [misc]approximate: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) -1) into (* PI b) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ -1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ -1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* PI a) (/ 0 (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* PI a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* PI a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- a)) (/ 1 (- b)))) into (/ PI (* b a)) * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI b) a) (+ b a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI b) a) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI b) a) in a * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ PI b) 1) into (/ PI b) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (/ PI b) b) into (/ PI (sqr b)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI b) a) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI b) a) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ (/ PI a) a) into (/ PI (sqr a)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI b) a) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI b) a) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ (/ PI a) a) into (/ PI (sqr a)) * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI (sqr a)) (/ 1 a)))) into (- (/ PI (pow a 3))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI (sqr a)) (/ 0 a)) (* (- (/ PI (pow a 3))) (/ 1 a)))) into (/ PI (pow a 4)) * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* PI b) 1) into (* PI b) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* PI b) 1) into (* PI b) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* PI a) 1) into (* PI a) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* PI a) 1) into (* PI a) * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* PI a) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI a) (/ (/ 1 a) 1)))) into (- PI) * [misc]taylor: Taking taylor expansion of (- PI) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* PI a) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI a) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) -1) into (* PI b) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ -1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* PI a) -1) into (* -1 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ -1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* PI a) -1) into (* -1 (* PI a)) * [misc]taylor: Taking taylor expansion of (* -1 (* PI a)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* PI a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI a)) (/ (- (/ 1 a)) -1)))) into PI * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* PI a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI a)) (/ 0 -1)) (* PI (/ (- (/ 1 a)) -1)))) into (- (/ PI a)) * [misc]taylor: Taking taylor expansion of (- (/ PI a)) in a * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI b) a) (+ b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI b) a) (+ b a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI b) a) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI b) a) in a * [misc]taylor: Taking taylor expansion of (/ PI b) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (/ PI b) 1) into (/ PI b) * [misc]taylor: Taking taylor expansion of (+ b a) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (/ PI b) b) into (/ PI (sqr b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI b) a) (+ b a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI b) a) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI b) a) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ (/ PI a) a) into (/ PI (sqr a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI b) a) (+ b a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI b) a) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI b) a) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ (/ PI a) a) into (/ PI (sqr a)) * [misc]backup-simplify: Simplify (* 1/2 (/ PI (sqr a))) into (* 1/2 (/ PI (sqr a))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (sqr a))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (sqr a)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI (sqr a)) (/ 1 a)))) into (- (/ PI (pow a 3))) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (/ PI (pow a 3)))) (* 0 (/ PI (sqr a)))) into (- (* 1/2 (/ PI (pow a 3)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 3)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 3))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 3)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI (sqr a)) (/ 0 a)) (* (- (/ PI (pow a 3))) (/ 1 a)))) into (/ PI (pow a 4)) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ PI (pow a 4))) (+ (* 0 (- (/ PI (pow a 3)))) (* 0 (/ PI (sqr a))))) into (* 1/2 (/ PI (pow a 4))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 4))) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (pow a 4)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (/ PI (/ 1 b)) into (* PI b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* PI b) 1) into (* PI b) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* PI b) 1) into (* PI b) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* PI a) 1) into (* PI a) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 b)) (/ 1 a)) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* PI a) 1) into (* PI a) * [misc]backup-simplify: Simplify (* 1/2 (* PI a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* PI a) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI a) (/ (/ 1 a) 1)))) into (- PI) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- PI)) (* 0 (* PI a))) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* PI a) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI a) (/ 0 1)) (* (- PI) (/ (/ 1 a) 1)))) into (/ PI a) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (/ PI a)) (+ (* 0 (- PI)) (* 0 (* PI a)))) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 2) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (/ PI (/ -1 b)) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (* PI b)) -1) into (* PI b) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* PI b) -1) into (* -1 (* PI b)) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ -1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* PI a) -1) into (* -1 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (/ 1 2) (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 2) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (/ PI (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ PI (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ (* -1 PI) (/ -1 a)) into (* PI a) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- b)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* PI a) -1) into (* -1 (* PI a)) * [misc]backup-simplify: Simplify (* 1/2 (* -1 (* PI a))) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* PI a)) in a * [misc]taylor: Taking taylor expansion of -1/2 in a * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (* PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 PI) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* PI a) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI a)) (/ (- (/ 1 a)) -1)))) into PI * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 (* -1 (* PI a)))) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 a)) (+ (* (* PI a) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (* PI a)) (/ 0 -1)) (* PI (/ (- (/ 1 a)) -1)))) into (- (/ PI a)) * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 (- (/ PI a))) (+ (* 0 PI) (* 0 (* -1 (* PI a))))) into (- (* 1/2 (/ PI a))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI a))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI a)) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI a) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * [misc]progress: tayloring alt 7 of 9 * [misc]approximate: Taking taylor expansion of (cbrt (* 2 (* a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* a b))) in b * [misc]backup-simplify: Simplify (cbrt (* 2 (* a b))) into (cbrt (* 2 (* b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* a b))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* a b))) into (cbrt (* 2 (* b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* a b))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* a b))) into (cbrt (* 2 (* b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* b a))) in b * [misc]backup-simplify: Simplify (cbrt (* 2 (* b a))) into (cbrt (* 2 (* b a))) * [misc]backup-simplify: Simplify (cbrt (* 2 (* b a))) into (cbrt (* 2 (* b a))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (* 2 (* b a))) into (cbrt (* 2 (* b a))) * [misc]approximate: Taking taylor expansion of (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) in b * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) into (cbrt (/ 2 (* b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) into (cbrt (/ 2 (* b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) into (cbrt (/ 2 (* b a))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (* b a))) in b * [misc]backup-simplify: Simplify (cbrt (/ 2 (* b a))) into (cbrt (/ 2 (* b a))) * [misc]backup-simplify: Simplify (cbrt (/ 2 (* b a))) into (cbrt (/ 2 (* b a))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 2 (* b a))) into (cbrt (/ 2 (* b a))) * [misc]approximate: Taking taylor expansion of (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) into (cbrt (/ 2 (* b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) into (cbrt (/ 2 (* b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) into (cbrt (/ 2 (* b a))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (* b a))) in b * [misc]backup-simplify: Simplify (cbrt (/ 2 (* b a))) into (cbrt (/ 2 (* b a))) * [misc]backup-simplify: Simplify (cbrt (/ 2 (* b a))) into (cbrt (/ 2 (* b a))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 2 (* b a))) into (cbrt (/ 2 (* b a))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b))))) in b * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b))))) into (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b))))) into (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b))))) into (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) in b * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) into (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) into (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) into (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b)))))) in b * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b)))))) into (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b)))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b)))))) into (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b)))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b)))))) into (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) in b * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) into (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) into (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) into (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) in b * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) into (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) into (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))))) into (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) in b * [misc]backup-simplify: Simplify (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) into (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) into (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) into (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) * [misc]approximate: Taking taylor expansion of (/ PI (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI (+ a b)) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ PI b) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 1 b)))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ PI b) (/ 0 b)) (* (- (/ PI (sqr b))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 3)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 b) 1)))) into (- (/ PI b)) * [misc]taylor: Taking taylor expansion of (- (/ PI b)) in b * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (sqr b)) * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ PI -1) into (* -1 PI) * [misc]taylor: Taking taylor expansion of (* -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ (- (/ 1 b)) -1)))) into (/ PI b) * [misc]taylor: Taking taylor expansion of (/ PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)) (* (/ PI b) (/ (- (/ 1 b)) -1)))) into (- (/ PI (sqr b))) * [misc]taylor: Taking taylor expansion of (- (/ PI (sqr b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (sqr b)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b)))) in b * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ a b))) in b * [misc]backup-simplify: Simplify (cbrt (/ PI (+ a b))) into (cbrt (/ PI (+ b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* a b))) in b * [misc]backup-simplify: Simplify (cbrt (* 2 (* a b))) into (cbrt (* 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) into (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b)))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ a b))) in a * [misc]backup-simplify: Simplify (cbrt (/ PI (+ a b))) into (cbrt (/ PI (+ b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* a b))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* a b))) into (cbrt (* 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) into (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b)))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ a b))) in a * [misc]backup-simplify: Simplify (cbrt (/ PI (+ a b))) into (cbrt (/ PI (+ b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* a b))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* a b))) into (cbrt (* 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) into (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) in b * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ b a))) in b * [misc]backup-simplify: Simplify (cbrt (/ PI (+ b a))) into (cbrt (/ PI (+ b a))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* b a))) in b * [misc]backup-simplify: Simplify (cbrt (* 2 (* b a))) into (cbrt (* 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) into (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) into (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (* 2 (* b a)))) (+ (* (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) (/ 0 (cbrt (* 2 (* b a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (* 2 (* b a)))) (+ (* (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) (/ 0 (cbrt (* 2 (* b a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (* 2 (* b a)))) (+ (* (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) (/ 0 (cbrt (* 2 (* b a))))) (* 0 (/ 0 (cbrt (* 2 (* b a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (* 2 (* b a)))) (+ (* (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) (/ 0 (cbrt (* 2 (* b a))))) (* 0 (/ 0 (cbrt (* 2 (* b a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (* 2 (* b a)))) (+ (* (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) (/ 0 (cbrt (* 2 (* b a))))) (* 0 (/ 0 (cbrt (* 2 (* b a))))) (* 0 (/ 0 (cbrt (* 2 (* b a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) into (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a)))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) in b * [misc]backup-simplify: Simplify (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) into (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) in b * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) into (cbrt (/ 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) in a * [misc]backup-simplify: Simplify (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) into (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) into (cbrt (/ 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) (cbrt (* 2 (* (/ 1 a) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) in a * [misc]backup-simplify: Simplify (cbrt (/ PI (+ (/ 1 a) (/ 1 b)))) into (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 a) (/ 1 b)))) into (cbrt (/ 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) in b * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) in b * [misc]backup-simplify: Simplify (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) into (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (* b a))) in b * [misc]backup-simplify: Simplify (cbrt (/ 2 (* b a))) into (cbrt (/ 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (/ 2 (* b a)))) (+ (* (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) (/ 0 (cbrt (/ 2 (* b a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (/ 2 (* b a)))) (+ (* (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) (/ 0 (cbrt (/ 2 (* b a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (/ 2 (* b a)))) (+ (* (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) (/ 0 (cbrt (/ 2 (* b a))))) (* 0 (/ 0 (cbrt (/ 2 (* b a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (/ 2 (* b a)))) (+ (* (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) (/ 0 (cbrt (/ 2 (* b a))))) (* 0 (/ 0 (cbrt (/ 2 (* b a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (/ 2 (* b a)))) (+ (* (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) (/ 0 (cbrt (/ 2 (* b a))))) (* 0 (/ 0 (cbrt (/ 2 (* b a))))) (* 0 (/ 0 (cbrt (/ 2 (* b a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a)))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]backup-simplify: Simplify (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) into (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) into (cbrt (/ 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]backup-simplify: Simplify (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) into (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) into (cbrt (/ 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]backup-simplify: Simplify (cbrt (/ PI (+ (/ 1 (- a)) (/ 1 (- b))))) into (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]backup-simplify: Simplify (cbrt (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) into (cbrt (/ 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) in b * [misc]taylor: Taking taylor expansion of (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) in b * [misc]backup-simplify: Simplify (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) into (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 2 (* b a))) in b * [misc]backup-simplify: Simplify (cbrt (/ 2 (* b a))) into (cbrt (/ 2 (* b a))) * [misc]backup-simplify: Simplify (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) * [misc]backup-simplify: Simplify (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (/ 2 (* b a)))) (+ (* (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) (/ 0 (cbrt (/ 2 (* b a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (/ 2 (* b a)))) (+ (* (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) (/ 0 (cbrt (/ 2 (* b a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (/ 2 (* b a)))) (+ (* (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) (/ 0 (cbrt (/ 2 (* b a))))) (* 0 (/ 0 (cbrt (/ 2 (* b a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (/ 2 (* b a)))) (+ (* (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) (/ 0 (cbrt (/ 2 (* b a))))) (* 0 (/ 0 (cbrt (/ 2 (* b a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (/ 2 (* b a)))) (+ (* (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) (/ 0 (cbrt (/ 2 (* b a))))) (* 0 (/ 0 (cbrt (/ 2 (* b a))))) (* 0 (/ 0 (cbrt (/ 2 (* b a))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) into (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a)))) * * * [misc]progress: tayloring alt 8 of 9 * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (- (sqr b) (sqr a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (sqr b) (sqr a)))) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr b) (sqr a)))) into (cbrt (/ 1 (- (sqr b) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (sqr b) (sqr a)))) in b * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr b) (sqr a)))) into (cbrt (/ 1 (- (sqr b) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (sqr b) (sqr a)))) in b * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr b) (sqr a)))) into (cbrt (/ 1 (- (sqr b) (sqr a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (sqr b) (sqr a)))) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr b) (sqr a)))) into (cbrt (/ 1 (- (sqr b) (sqr a)))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr b) (sqr a)))) into (cbrt (/ 1 (- (sqr b) (sqr a)))) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr b) (sqr a)))) into (cbrt (/ 1 (- (sqr b) (sqr a)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in b * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) in b * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in b * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) in b * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) into (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) * [misc]approximate: Taking taylor expansion of (- (sqr b) (sqr a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]taylor: Taking taylor expansion of (- (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (sqr (* a 1))) (* 1 (sqr (* 1 b)))) into (- (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 b))))) (* -1 (sqr (* (/ 1 (/ 1 a)) 1)))) into (- (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (sqr a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (+ (* 0 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (sqr (* 1 (/ 1 (/ 1 (- b)))))) (* -1 (sqr (* (/ 1 (/ 1 (- a))) 1)))) into (- (sqr b) (sqr a)) * [misc]approximate: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in a * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (sqr b) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (sqr b) 0) into (sqr b) * [misc]backup-simplify: Simplify (/ 1 (sqr b)) into (/ 1 (sqr b)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr b) (sqr a))) in b * [misc]taylor: Taking taylor expansion of (- (sqr b) (sqr a)) in b * [misc]taylor: Taking taylor expansion of (sqr b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sqr a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (sqr a) * [misc]backup-simplify: Simplify (- (sqr a)) into (- (sqr a)) * [misc]backup-simplify: Simplify (+ 0 (- (sqr a))) into (- (sqr a)) * [misc]backup-simplify: Simplify (/ 1 (- (sqr a))) into (/ -1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ -1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 0 (- (sqr a)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (sqr a)) (/ 1 (- (sqr a)))) (* 0 (/ 0 (- (sqr a)))))) into (- (/ 1 (pow a 4))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow a 4))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (pow a 4)) in a * [misc]taylor: Taking taylor expansion of (pow a 4) in a * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 b)) (sqr (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (sqr (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in a * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (sqr a)) * [misc]backup-simplify: Simplify (- (/ 1 (sqr a))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (sqr a)))) into (- (/ 1 (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- (/ 1 (sqr a))) 1)) (* 0 (/ 0 1)))) into (/ 1 (sqr a)) * [misc]taylor: Taking taylor expansion of (/ 1 (sqr a)) in a * [misc]taylor: Taking taylor expansion of (sqr a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]approximate: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) in a * [misc]backup-simplify: Simplify (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) * [misc]taylor: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) in b * [misc]backup-simplify: Simplify (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) * [misc]taylor: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) in b * [misc]backup-simplify: Simplify (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) in a * [misc]backup-simplify: Simplify (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) * [misc]approximate: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))))) (cbrt (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))))) (cbrt (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) in a * [misc]backup-simplify: Simplify (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))))) (cbrt (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) * [misc]taylor: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))))) (cbrt (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) in b * [misc]backup-simplify: Simplify (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))))) (cbrt (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) * [misc]taylor: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))))) (cbrt (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) in b * [misc]backup-simplify: Simplify (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 b)) (sqr (/ 1 a)))))) (cbrt (- (/ 1 (/ 1 a)) (/ 1 (/ 1 b)))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) in a * [misc]backup-simplify: Simplify (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) * [misc]approximate: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))))) (cbrt (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))))) (cbrt (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) in a * [misc]backup-simplify: Simplify (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))))) (cbrt (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) * [misc]taylor: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))))) (cbrt (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) in b * [misc]backup-simplify: Simplify (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))))) (cbrt (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) * [misc]taylor: Taking taylor expansion of (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))))) (cbrt (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) in b * [misc]backup-simplify: Simplify (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr (/ 1 (- b))) (sqr (/ 1 (- a))))))) (cbrt (- (/ 1 (/ 1 (- a))) (/ 1 (/ 1 (- b))))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) * [misc]taylor: Taking taylor expansion of (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) in a * [misc]backup-simplify: Simplify (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) * [misc]backup-simplify: Simplify (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) into (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) * * * [misc]progress: tayloring alt 9 of 9 * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (+ a b) PI))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ a b) PI))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ a b) PI))) into (/ (+ b a) PI) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ a b) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ a b) PI))) into (/ (+ b a) PI) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ a b) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ a b) PI))) into (/ (+ b a) PI) * [misc]taylor: Taking taylor expansion of (/ (+ b a) PI) in b * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ a PI) into (/ a PI) * [misc]backup-simplify: Simplify (/ a PI) into (/ a PI) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ a PI) (/ 0 PI)))) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ a PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (* b 1)) (/ a PI)) into (+ (/ b PI) (/ a PI)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) into (/ (+ (/ 1 b) (/ 1 a)) PI) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) into (/ (+ (/ 1 b) (/ 1 a)) PI) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) into (/ (+ (/ 1 b) (/ 1 a)) PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (/ 1 a) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* PI a)) * [misc]backup-simplify: Simplify (/ 1 (* PI a)) into (/ 1 (* PI a)) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* PI a)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* PI a)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ 1 (* PI a)) into (/ 1 (* PI a)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) into (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) into (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) into (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)) * [misc]taylor: Taking taylor expansion of (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 b) (/ 1 a)) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ (/ 1 a) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* PI a)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 (* PI a))) (* 0 (/ 1 PI))) into (- (/ 1 (* PI a))) * [misc]backup-simplify: Simplify (- (/ 1 (* PI a))) into (- (/ 1 (* PI a))) * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* PI a)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (* PI a))) (* 0 (/ 1 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* PI a)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (* PI a))) (* 0 (/ 1 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 1 (* PI a))) into (- (/ 1 (* PI a))) * [misc]approximate: Taking taylor expansion of (/ (+ a b) PI) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ a PI) into (/ a PI) * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]taylor: Taking taylor expansion of (/ (+ a b) PI) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ b PI) into (/ b PI) * [misc]taylor: Taking taylor expansion of (/ b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 PI) (+ (* (/ b PI) (/ 0 PI)))) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ b PI) (/ 0 PI)) (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (* b 1)) (* (/ 1 PI) (* 1 a))) into (+ (/ b PI) (/ a PI)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 a) (/ 1 b)) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]taylor: Taking taylor expansion of (/ 1 PI) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (/ 1 b) PI) (+ (* (/ 1 PI) (/ 0 PI)))) into (/ 1 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ 1 (* b PI)) in b * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 1 PI) (/ 0 PI)) (* (/ 1 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 PI) (* 1 (/ 1 (/ 1 a)))) (* (/ 1 PI) (* (/ 1 (/ 1 b)) 1))) into (+ (/ a PI) (/ b PI)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]taylor: Taking taylor expansion of (/ -1 PI) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1 b)) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (/ 1 b)) PI) (+ (* (/ -1 PI) (/ 0 PI)))) into (- (/ 1 (* b PI))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (* b PI))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* b PI)) in b * [misc]taylor: Taking taylor expansion of (* b PI) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) * [misc]backup-simplify: Simplify (- (/ 1 PI)) into (- (/ 1 PI)) * [misc]backup-simplify: Simplify (- (/ 1 PI)) into (- (/ 1 PI)) * [misc]backup-simplify: Simplify (/ -1 PI) into (/ -1 PI) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -1 PI) (/ 0 PI)) (* (- (/ 1 (* b PI))) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 PI) (* 1 (/ 1 (/ 1 (- a))))) (* (- (/ 1 PI)) (* (/ 1 (/ 1 (- b))) 1))) into (+ (/ a PI) (/ b PI)) * [misc]approximate: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ a b) PI)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ a b) PI)))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ a b) PI))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ a b) PI))) into (/ (+ b a) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ b a) PI)) into (/ PI (+ b a)) * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ a b) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ a b) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ a b) PI))) into (/ (+ b a) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ b a) PI)) into (/ PI (+ b a)) * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ a b) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ a b) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ a b) PI))) into (/ (+ b a) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ b a) PI)) into (/ PI (+ b a)) * [misc]taylor: Taking taylor expansion of (/ PI (+ b a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]backup-simplify: Simplify (- (+ (* (/ PI (+ b a)) (/ 0 (/ (+ b a) PI))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (sqr a))) * [misc]backup-simplify: Simplify (- (/ PI (sqr a))) into (- (/ PI (sqr a))) * [misc]backup-simplify: Simplify (- (+ (* (/ PI (+ b a)) (/ 0 (/ (+ b a) PI))) (* 0 (/ 0 (/ (+ b a) PI))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (sqr a))) (/ 1 a)))) into (/ PI (pow a 3)) * [misc]backup-simplify: Simplify (/ PI (pow a 3)) into (/ PI (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (/ PI (pow a 3)) (sqr (* b 1))) (+ (* (- (/ PI (sqr a))) (* b 1)) (/ PI a))) into (- (+ (/ (* PI (sqr b)) (pow a 3)) (/ PI a)) (/ (* PI b) (sqr a))) * [misc]approximate: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) into (/ (+ (/ 1 b) (/ 1 a)) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ (/ 1 b) (/ 1 a)) PI)) into (/ PI (+ (/ 1 b) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) into (/ (+ (/ 1 b) (/ 1 a)) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ (/ 1 b) (/ 1 a)) PI)) into (/ PI (+ (/ 1 b) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) into (/ (+ (/ 1 b) (/ 1 a)) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ (/ 1 b) (/ 1 a)) PI)) into (/ PI (+ (/ 1 b) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (+ (* (/ PI (+ (/ 1 b) (/ 1 a))) (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (- (+ (* (/ PI (+ (/ 1 b) (/ 1 a))) (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))) (* 0 (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) * [misc]backup-simplify: Simplify (- (/ PI a)) into (- (/ PI a)) * [misc]backup-simplify: Simplify (- (+ (* (/ PI (+ (/ 1 b) (/ 1 a))) (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))) (* 0 (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))) (* 0 (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (sqr a)) * [misc]backup-simplify: Simplify (/ PI (sqr a)) into (/ PI (sqr a)) * [misc]backup-simplify: Simplify (+ (* (/ PI (sqr a)) (pow (* (/ 1 b) 1) 3)) (+ (* (- (/ PI a)) (sqr (* (/ 1 b) 1))) (* PI (* (/ 1 b) 1)))) into (- (+ (/ PI b) (/ PI (* (pow b 3) (sqr a)))) (/ PI (* (sqr b) a))) * [misc]approximate: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) into (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI))) into (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) into (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI))) into (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) into (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI))) into (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (/ PI (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (* -1 PI) into (* -1 PI) * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))) (* 0 (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) * [misc]backup-simplify: Simplify (+ (* -1 (- (/ PI a))) (* 0 PI)) into (/ PI a) * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))) (* 0 (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))) (* 0 (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (sqr a)) * [misc]backup-simplify: Simplify (+ (* -1 (/ PI (sqr a))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (/ PI (sqr a))) * [misc]backup-simplify: Simplify (- (/ PI (sqr a))) into (- (/ PI (sqr a))) * [misc]backup-simplify: Simplify (+ (* (- (/ PI (sqr a))) (pow (* (/ 1 (- b)) 1) 3)) (+ (* (/ PI a) (sqr (* (/ 1 (- b)) 1))) (* (* -1 PI) (* (/ 1 (- b)) 1)))) into (+ (/ PI b) (+ (/ PI (* (pow b 3) (sqr a))) (/ PI (* (sqr b) a)))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ a b) PI)))) (* 2 (* a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ a b) PI)))) (* 2 (* a b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ a b) PI)))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ a b) PI))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ a b) PI))) into (/ (+ b a) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ b a) PI)) into (/ PI (+ b a)) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* a 0) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 1) (* 0 0)) into a * [misc]backup-simplify: Simplify (+ (* 2 a) (* 0 0)) into (* 2 a) * [misc]backup-simplify: Simplify (/ (/ PI (+ b a)) (* 2 a)) into (* 1/2 (/ PI (* a (+ b a)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ a b) PI)))) (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ a b) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ a b) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ a b) PI))) into (/ (+ b a) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ b a) PI)) into (/ PI (+ b a)) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI (+ b a)) (* 2 b)) into (* 1/2 (/ PI (* b (+ b a)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ a b) PI)))) (* 2 (* a b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ a b) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ a b) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ a b) PI))) into (/ (+ b a) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ b a) PI)) into (/ PI (+ b a)) * [misc]taylor: Taking taylor expansion of (* 2 (* a b)) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 0 b) into 0 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 b)) into b * [misc]backup-simplify: Simplify (+ (* 2 b) (* 0 0)) into (* 2 b) * [misc]backup-simplify: Simplify (/ (/ PI (+ b a)) (* 2 b)) into (* 1/2 (/ PI (* b (+ b a)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (* b (+ b a)))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ PI (* b (+ b a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (* b (+ b a)) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ b a) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (* 0 a) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 a)) into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]backup-simplify: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (- (+ (* (/ PI (+ b a)) (/ 0 (/ (+ b a) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 b) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI (* b (+ b a)))) (/ 0 (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 a))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 1 a)))) into (- (/ PI (sqr a))) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (/ PI (sqr a)))) (* 0 (/ PI a))) into (- (* 1/2 (/ PI (sqr a)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI (sqr a)))) into (- (* 1/2 (/ PI (sqr a)))) * [misc]backup-simplify: Simplify (- (+ (* (/ PI (+ b a)) (/ 0 (/ (+ b a) PI))) (* 0 (/ 0 (/ (+ b a) PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 b) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI (* b (+ b a)))) (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (/ PI a) (/ 0 a)) (* (- (/ PI (sqr a))) (/ 1 a)))) into (/ PI (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ PI (pow a 3))) (+ (* 0 (- (/ PI (sqr a)))) (* 0 (/ PI a)))) into (* 1/2 (/ PI (pow a 3))) * [misc]backup-simplify: Simplify (* 1/2 (/ PI (pow a 3))) into (* 1/2 (/ PI (pow a 3))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI (pow a 3))) (* b (/ 1 a))) (+ (* (- (* 1/2 (/ PI (sqr a)))) (* 1 (/ 1 a))) (* (* 1/2 (/ PI a)) (* (/ 1 b) (/ 1 a))))) into (- (+ (* 1/2 (/ (* PI b) (pow a 4))) (* 1/2 (/ PI (* b (sqr a))))) (* 1/2 (/ PI (pow a 3)))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) (* 2 (* (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) (* 2 (* (/ 1 a) (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) into (/ (+ (/ 1 b) (/ 1 a)) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ (/ 1 b) (/ 1 a)) PI)) into (/ PI (+ (/ 1 b) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (/ 1 a) 1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (/ PI (+ (/ 1 b) (/ 1 a))) (/ 2 a)) into (* 1/2 (/ (* PI a) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) into (/ (+ (/ 1 b) (/ 1 a)) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ (/ 1 b) (/ 1 a)) PI)) into (/ PI (+ (/ 1 b) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (/ PI (+ (/ 1 b) (/ 1 a))) (/ 2 b)) into (* 1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) (* 2 (* (/ 1 a) (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 a) (/ 1 b)) PI))) into (/ (+ (/ 1 b) (/ 1 a)) PI) * [misc]backup-simplify: Simplify (/ 1 (/ (+ (/ 1 b) (/ 1 a)) PI)) into (/ PI (+ (/ 1 b) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]backup-simplify: Simplify (* 1 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (/ PI (+ (/ 1 b) (/ 1 a))) (/ 2 b)) into (* 1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (/ (* PI b) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (+ (* (/ PI (+ (/ 1 b) (/ 1 a))) (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* (/ PI (+ (/ 1 b) (/ 1 a))) (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))) (* 0 (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) * [misc]backup-simplify: Simplify (+ (* 1/2 (- (/ PI a))) (* 0 PI)) into (- (* 1/2 (/ PI a))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI a))) into (- (* 1/2 (/ PI a))) * [misc]backup-simplify: Simplify (- (+ (* (/ PI (+ (/ 1 b) (/ 1 a))) (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))) (* 0 (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))) (* 0 (/ 0 (/ (+ (/ 1 b) (/ 1 a)) PI))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (sqr a)) * [misc]backup-simplify: Simplify (+ (* 1/2 (/ PI (sqr a))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (* 1/2 (/ PI (sqr a))) * [misc]backup-simplify: Simplify (* 1/2 (/ PI (sqr a))) into (* 1/2 (/ PI (sqr a))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI (sqr a))) (* (pow (/ 1 b) 4) (/ 1 a))) (+ (* (- (* 1/2 (/ PI a))) (* (pow (/ 1 b) 3) (/ 1 a))) (* (* 1/2 PI) (* (sqr (/ 1 b)) (/ 1 a))))) into (- (+ (* 1/2 (/ PI (* (pow b 4) (pow a 3)))) (* 1/2 (/ PI (* (sqr b) a)))) (* 1/2 (/ PI (* (pow b 3) (sqr a))))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) in b * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) in b * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) into (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI))) into (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (/ -1 a) -1) into (/ 1 a) * [misc]backup-simplify: Simplify (* 2 (/ 1 a)) into (/ 2 a) * [misc]backup-simplify: Simplify (/ (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) (/ 2 a)) into (* -1/2 (/ (* PI a) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) into (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI))) into (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) (/ 2 b)) into (* -1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) (* 2 (* (/ 1 (- a)) (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI)))) in a * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (+ (/ 1 (- a)) (/ 1 (- b))) PI))) into (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI))) into (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (* 2 (* (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]backup-simplify: Simplify (* -1 (/ -1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) (/ 2 b)) into (* -1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (/ (* PI b) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* PI b) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 b) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* -1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))) (* 0 (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* -1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ (/ 1 a) 1)))) into (- (/ PI a)) * [misc]backup-simplify: Simplify (+ (* -1/2 (- (/ PI a))) (* 0 PI)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (* 1/2 (/ PI a)) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (- (+ (* (* -1 (/ PI (+ (/ 1 b) (/ 1 a)))) (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))) (* 0 (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))) (* 0 (/ 0 (* -1 (/ (+ (/ 1 b) (/ 1 a)) PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* -1/2 (/ (* PI b) (+ (/ 1 b) (/ 1 a)))) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* (- (/ PI a)) (/ (/ 1 a) 1)))) into (/ PI (sqr a)) * [misc]backup-simplify: Simplify (+ (* -1/2 (/ PI (sqr a))) (+ (* 0 (- (/ PI a))) (* 0 PI))) into (- (* 1/2 (/ PI (sqr a)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI (sqr a)))) into (- (* 1/2 (/ PI (sqr a)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ PI (sqr a)))) (* (pow (/ 1 (- b)) 4) (/ 1 (- a)))) (+ (* (* 1/2 (/ PI a)) (* (pow (/ 1 (- b)) 3) (/ 1 (- a)))) (* (* -1/2 PI) (* (sqr (/ 1 (- b))) (/ 1 (- a)))))) into (+ (* 1/2 (/ PI (* (pow b 3) (sqr a)))) (+ (* 1/2 (/ PI (* (pow b 4) (pow a 3)))) (* 1/2 (/ PI (* (sqr b) a))))) * * * [misc]progress: simplifying alt 1 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 2 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 3 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 4 of 102 * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]none: prog is (λ (a b) (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b))))) * * * [misc]progress: simplifying alt 5 of 102 * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]none: prog is (λ (a b) (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b))))) * * * [misc]progress: simplifying alt 6 of 102 * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b)))) * [misc]none: prog is (λ (a b) (/ (/ PI 2) (/ (* (- b a) (+ b a)) (- (/ 1 a) (/ 1 b))))) * * * [misc]progress: simplifying alt 7 of 102 * [enter]simplify: Simplifying (* (* (/ PI 2) 0) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 8 of 102 * [enter]simplify: Simplifying (* (* (/ PI 2) 0) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 9 of 102 * [enter]simplify: Simplifying (* (* (/ PI 2) 0) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 10 of 102 * [enter]simplify: Simplifying (* 0 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 11 of 102 * [enter]simplify: Simplifying (* 0 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 12 of 102 * [enter]simplify: Simplifying (* 0 (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 13 of 102 * [enter]simplify: Simplifying (cube (cbrt (* 1/2 (/ PI (* b (* a (+ b a))))))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ PI (* b a)) (/ 1/2 (+ b a))) * [misc]none: prog is (λ (a b) (* (/ PI (* b a)) (/ 1/2 (+ b a)))) * * * [misc]progress: simplifying alt 14 of 102 * [enter]simplify: Simplifying (cube (cbrt (* 1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a)))))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (* (* PI 1/2) (* b a)) (+ (/ 1 a) (/ 1 b))) * [misc]none: prog is (λ (a b) (/ (* (* PI 1/2) (* b a)) (+ (/ 1 a) (/ 1 b)))) * * * [misc]progress: simplifying alt 15 of 102 * [enter]simplify: Simplifying (cube (cbrt (* -1/2 (/ (* PI (* b a)) (+ (/ 1 b) (/ 1 a)))))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (* (* PI -1/2) (* b a)) (+ (/ 1 a) (/ 1 b))) * [misc]none: prog is (λ (a b) (/ (* (* PI -1/2) (* b a)) (+ (/ 1 a) (/ 1 b)))) * * * [misc]progress: simplifying alt 16 of 102 * [enter]simplify: Simplifying (- (* 1/2 (/ (* PI b) (pow a 4))) (+ (* 1/2 (/ (* PI (sqr b)) (pow a 5))) (* 1/2 (/ PI (pow a 3))))) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (* (/ (* PI 1/2) (pow a 4)) b) (+ (/ (* PI 1/2) (/ (pow a 5) (* b b))) (/ (* PI 1/2) (cube a)))) * [misc]none: prog is (λ (a b) (- (* (/ (* PI 1/2) (pow a 4)) b) (+ (/ (* PI 1/2) (/ (pow a 5) (* b b))) (/ (* PI 1/2) (cube a))))) * * * [misc]progress: simplifying alt 17 of 102 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (* PI a) (sqr b))) (* 1/2 (/ PI (* (pow b 4) a)))) (* 1/2 (/ PI (pow b 3)))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (fma 1/2 (- (/ (/ PI (pow b 4)) a) (/ PI (cube b))) (* (* 1/2 (/ PI b)) (/ a b))) * [misc]none: prog is (λ (a b) (fma 1/2 (- (/ (/ PI (pow b 4)) a) (/ PI (cube b))) (* (* 1/2 (/ PI b)) (/ a b)))) * * * [misc]progress: simplifying alt 18 of 102 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (* PI a) (sqr b))) (+ (* 1/2 (/ PI (* (pow b 4) a))) (* 1/2 (/ PI (pow b 3)))))) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (- (fma 1/2 (/ (* PI a) (* b b)) (fma (/ 1/2 (pow b 4)) (/ PI a) (/ (* PI 1/2) (cube b))))) * [misc]none: prog is (λ (a b) (- (fma 1/2 (/ (* PI a) (* b b)) (fma (/ 1/2 (pow b 4)) (/ PI a) (/ (* PI 1/2) (cube b)))))) * * * [misc]progress: simplifying alt 19 of 102 * [enter]simplify: Simplifying (cube (cbrt (/ 0 (* 2 (* a b))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 20 of 102 * [enter]simplify: Simplifying (cube (cbrt (/ 0 (* 2 (* a b))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 21 of 102 * [enter]simplify: Simplifying (cube (cbrt (/ 0 (* 2 (* a b))))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 22 of 102 * [enter]simplify: Simplifying (cube (cbrt 0)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 23 of 102 * [enter]simplify: Simplifying (cube (cbrt 0)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 24 of 102 * [enter]simplify: Simplifying (cube (cbrt 0)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 25 of 102 * [enter]simplify: Simplifying (* (/ PI (+ a b)) (/ 1/2 (* b a))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (* PI 1/2) (* a b)) (+ b a)) * [misc]none: prog is (λ (a b) (/ (/ (* PI 1/2) (* a b)) (+ b a))) * * * [misc]progress: simplifying alt 26 of 102 * [enter]simplify: Simplifying (* (/ PI (+ a b)) (/ 1/2 (* b a))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (* PI 1/2) (* a b)) (+ b a)) * [misc]none: prog is (λ (a b) (/ (/ (* PI 1/2) (* a b)) (+ b a))) * * * [misc]progress: simplifying alt 27 of 102 * [enter]simplify: Simplifying (* (/ PI (+ a b)) (/ 1/2 (* b a))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (/ (* PI 1/2) (* a b)) (+ b a)) * [misc]none: prog is (λ (a b) (/ (/ (* PI 1/2) (* a b)) (+ b a))) * * * [misc]progress: simplifying alt 28 of 102 * [enter]simplify: Simplifying (* 0 (/ 1 (* 2 (* a b)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 29 of 102 * [enter]simplify: Simplifying (* 0 (/ 1 (* 2 (* a b)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 30 of 102 * [enter]simplify: Simplifying (* 0 (/ 1 (* 2 (* a b)))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 31 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 32 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 33 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 34 of 102 * [enter]simplify: Simplifying (/ 1 (+ (* 2 (/ (* (sqr b) a) PI)) (* 2 (/ (* b (sqr a)) PI)))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (fma (/ (* b b) PI) a (* (/ b PI) (* a a)))) * [misc]none: prog is (λ (a b) (/ (/ 1 2) (fma (/ (* b b) PI) a (* (/ b PI) (* a a))))) * * * [misc]progress: simplifying alt 35 of 102 * [enter]simplify: Simplifying (/ 1 (+ (* 2 (/ (* (sqr b) a) PI)) (* 2 (/ (* b (sqr a)) PI)))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (fma (/ (* b b) PI) a (* (/ b PI) (* a a)))) * [misc]none: prog is (λ (a b) (/ (/ 1 2) (fma (/ (* b b) PI) a (* (/ b PI) (* a a))))) * * * [misc]progress: simplifying alt 36 of 102 * [enter]simplify: Simplifying (/ 1 (+ (* 2 (/ (* (sqr b) a) PI)) (* 2 (/ (* b (sqr a)) PI)))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ 1 2) (fma (/ (* b b) PI) a (* (/ b PI) (* a a)))) * [misc]none: prog is (λ (a b) (/ (/ 1 2) (fma (/ (* b b) PI) a (* (/ b PI) (* a a))))) * * * [misc]progress: simplifying alt 37 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 38 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 39 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 40 of 102 * [enter]simplify: Simplifying (/ 1 (* (* (/ b PI) (+ b a)) (* 2 a))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (/ b PI)) (* (+ a b) (* 2 a))) * [misc]none: prog is (λ (a b) (/ (/ 1 (/ b PI)) (* (+ a b) (* 2 a)))) * * * [misc]progress: simplifying alt 41 of 102 * [enter]simplify: Simplifying (/ 1 (* (* (/ b PI) (+ b a)) (* 2 a))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (/ b PI)) (* (+ a b) (* 2 a))) * [misc]none: prog is (λ (a b) (/ (/ 1 (/ b PI)) (* (+ a b) (* 2 a)))) * * * [misc]progress: simplifying alt 42 of 102 * [enter]simplify: Simplifying (/ 1 (* (* (/ b PI) (+ b a)) (* 2 a))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (/ 1 (/ b PI)) (* (+ a b) (* 2 a))) * [misc]none: prog is (λ (a b) (/ (/ 1 (/ b PI)) (* (+ a b) (* 2 a)))) * * * [misc]progress: simplifying alt 43 of 102 * [enter]simplify: Simplifying (/ 1 (* (+ (/ (sqr b) PI) (/ (* b a) PI)) (* 2 a))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (* (* a 2) (fma (/ b PI) a (* (/ b PI) b)))) * [misc]none: prog is (λ (a b) (/ 1 (* (* a 2) (fma (/ b PI) a (* (/ b PI) b))))) * * * [misc]progress: simplifying alt 44 of 102 * [enter]simplify: Simplifying (/ 1 (* (+ (/ (sqr b) PI) (/ (* b a) PI)) (* 2 a))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (* (* a 2) (fma (/ b PI) a (* (/ b PI) b)))) * [misc]none: prog is (λ (a b) (/ 1 (* (* a 2) (fma (/ b PI) a (* (/ b PI) b))))) * * * [misc]progress: simplifying alt 45 of 102 * [enter]simplify: Simplifying (/ 1 (* (+ (/ (sqr b) PI) (/ (* b a) PI)) (* 2 a))) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ 1 (* (* a 2) (fma (/ b PI) a (* (/ b PI) b)))) * [misc]none: prog is (λ (a b) (/ 1 (* (* a 2) (fma (/ b PI) a (* (/ b PI) b))))) * * * [misc]progress: simplifying alt 46 of 102 * [enter]simplify: Simplifying (/ 0 (* 2 (* a b))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 47 of 102 * [enter]simplify: Simplifying (/ 0 (* 2 (* a b))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 48 of 102 * [enter]simplify: Simplifying (/ 0 (* 2 (* a b))) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 49 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 50 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 51 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 52 of 102 * [enter]simplify: Simplifying (/ (* PI 0) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 53 of 102 * [enter]simplify: Simplifying (/ (* PI 0) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 54 of 102 * [enter]simplify: Simplifying (/ (* PI 0) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 55 of 102 * [enter]simplify: Simplifying (* (/ 1 2) (/ (/ (/ PI b) a) (+ b a))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 2) (+ b a)) (/ (/ PI b) a)) * [misc]none: prog is (λ (a b) (* (/ (/ 1 2) (+ b a)) (/ (/ PI b) a))) * * * [misc]progress: simplifying alt 56 of 102 * [enter]simplify: Simplifying (* (/ 1 2) (/ (/ (/ PI b) a) (+ b a))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 2) (+ b a)) (/ (/ PI b) a)) * [misc]none: prog is (λ (a b) (* (/ (/ 1 2) (+ b a)) (/ (/ PI b) a))) * * * [misc]progress: simplifying alt 57 of 102 * [enter]simplify: Simplifying (* (/ 1 2) (/ (/ (/ PI b) a) (+ b a))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 2) (+ b a)) (/ (/ PI b) a)) * [misc]none: prog is (λ (a b) (* (/ (/ 1 2) (+ b a)) (/ (/ PI b) a))) * * * [misc]progress: simplifying alt 58 of 102 * [enter]simplify: Simplifying (* (/ 1 2) (/ (/ PI (* b a)) (+ b a))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (* b a)) (+ a b)) 2) * [misc]none: prog is (λ (a b) (/ (/ (/ PI (* b a)) (+ a b)) 2)) * * * [misc]progress: simplifying alt 59 of 102 * [enter]simplify: Simplifying (* (/ 1 2) (/ (/ PI (* b a)) (+ b a))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (* b a)) (+ a b)) 2) * [misc]none: prog is (λ (a b) (/ (/ (/ PI (* b a)) (+ a b)) 2)) * * * [misc]progress: simplifying alt 60 of 102 * [enter]simplify: Simplifying (* (/ 1 2) (/ (/ PI (* b a)) (+ b a))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI (* b a)) (+ a b)) 2) * [misc]none: prog is (λ (a b) (/ (/ (/ PI (* b a)) (+ a b)) 2)) * * * [misc]progress: simplifying alt 61 of 102 * [enter]simplify: Simplifying (* (/ 1 2) 0) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 62 of 102 * [enter]simplify: Simplifying (* (/ 1 2) 0) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 63 of 102 * [enter]simplify: Simplifying (* (/ 1 2) 0) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 64 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 65 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 66 of 102 * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 67 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* b a))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (* 2 (* a b))) * [misc]none: prog is (λ (a b) (/ (/ PI (+ b a)) (* 2 (* a b)))) * * * [misc]progress: simplifying alt 68 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt (/ PI (+ a b))) (cbrt (/ 2 (* b a))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (/ (/ 2 a) b)) * [misc]none: prog is (λ (a b) (/ (/ PI (+ b a)) (/ (/ 2 a) b))) * * * [misc]progress: simplifying alt 69 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt (/ PI (+ a b))) (cbrt (/ 2 (* b a))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ b a)) (/ (/ 2 a) b)) * [misc]none: prog is (λ (a b) (/ (/ PI (+ b a)) (/ (/ 2 a) b))) * * * [misc]progress: simplifying alt 70 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* 2 (* b a))) * [misc]none: prog is (λ (a b) (/ (/ PI (+ a b)) (* 2 (* b a)))) * * * [misc]progress: simplifying alt 71 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (/ 2 a) b)) * [misc]none: prog is (λ (a b) (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (/ 2 a) b))) * * * [misc]progress: simplifying alt 72 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (/ (- PI) (+ (/ 1 b) (/ 1 a))) (/ 2 (* b a))) * [misc]none: prog is (λ (a b) (/ (/ (- PI) (+ (/ 1 b) (/ 1 a))) (/ 2 (* b a)))) * * * [misc]progress: simplifying alt 73 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt 0) (cbrt (* 2 (* a b))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 74 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt 0) (cbrt (* 2 (* a b))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 75 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt 0) (cbrt (* 2 (* a b))))) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to 0 * [misc]none: prog is (λ (a b) 0) * * * [misc]progress: simplifying alt 76 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* b a))))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ a b)) (* 2 (* b a))) * [misc]none: prog is (λ (a b) (/ (/ PI (+ a b)) (* 2 (* b a)))) * * * [misc]progress: simplifying alt 77 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt (/ PI (+ (/ 1 b) (/ 1 a)))) (cbrt (/ 2 (* b a))))) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (/ 2 a) b)) * [misc]none: prog is (λ (a b) (/ (/ PI (+ (/ 1 a) (/ 1 b))) (/ (/ 2 a) b))) * * * [misc]progress: simplifying alt 78 of 102 * [enter]simplify: Simplifying (cube (/ (cbrt (* -1 (/ PI (+ (/ 1 b) (/ 1 a))))) (cbrt (/ 2 (* b a))))) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (/ (- PI) (+ (/ 1 b) (/ 1 a))) (/ 2 (* b a))) * [misc]none: prog is (λ (a b) (/ (/ (- PI) (+ (/ 1 b) (/ 1 a))) (/ 2 (* b a)))) * * * [misc]progress: simplifying alt 79 of 102 * [enter]simplify: Simplifying (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (* (/ 1 (* (+ b a) (- b a))) (- (/ 1 a) (/ 1 b))) (/ PI 2)) * [misc]none: prog is (λ (a b) (* (* (/ 1 (* (+ b a) (- b a))) (- (/ 1 a) (/ 1 b))) (/ PI 2))) * * * [misc]progress: simplifying alt 80 of 102 * [enter]simplify: Simplifying (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a)))))) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (* (- (/ 1 a) (/ 1 b)) (/ 1 (- (/ (/ 1 b) b) (/ 1 (* a a)))))) * [misc]none: prog is (λ (a b) (* (/ PI 2) (* (- (/ 1 a) (/ 1 b)) (/ 1 (- (/ (/ 1 b) b) (/ 1 (* a a))))))) * * * [misc]progress: simplifying alt 81 of 102 * [enter]simplify: Simplifying (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a)))))) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (/ PI 2) (* (- (/ 1 a) (/ 1 b)) (/ 1 (- (/ (/ 1 b) b) (/ 1 (* a a)))))) * [misc]none: prog is (λ (a b) (* (/ PI 2) (* (- (/ 1 a) (/ 1 b)) (/ 1 (- (/ (/ 1 b) b) (/ 1 (* a a))))))) * * * [misc]progress: simplifying alt 82 of 102 * [enter]simplify: Simplifying (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (* (/ 1 (* (+ b a) (- b a))) (- (/ 1 a) (/ 1 b))) (/ PI 2)) * [misc]none: prog is (λ (a b) (* (* (/ 1 (* (+ b a) (- b a))) (- (/ 1 a) (/ 1 b))) (/ PI 2))) * * * [misc]progress: simplifying alt 83 of 102 * [enter]simplify: Simplifying (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (* (/ 1 (* (+ b a) (- b a))) (- (/ 1 a) (/ 1 b))) (/ PI 2)) * [misc]none: prog is (λ (a b) (* (* (/ 1 (* (+ b a) (- b a))) (- (/ 1 a) (/ 1 b))) (/ PI 2))) * * * [misc]progress: simplifying alt 84 of 102 * [enter]simplify: Simplifying (cube (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (* (/ 1 (* (+ b a) (- b a))) (- (/ 1 a) (/ 1 b))) (/ PI 2)) * [misc]none: prog is (λ (a b) (* (* (/ 1 (* (+ b a) (- b a))) (- (/ 1 a) (/ 1 b))) (/ PI 2))) * * * [misc]progress: simplifying alt 85 of 102 * [enter]simplify: Simplifying (cube (* (* (cbrt (/ PI 2)) (cbrt 0)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (* 0 (/ PI 2)) (- (/ 1 a) (/ 1 b))) * [misc]none: prog is (λ (a b) (* (* 0 (/ PI 2)) (- (/ 1 a) (/ 1 b)))) * * * [misc]progress: simplifying alt 86 of 102 * [enter]simplify: Simplifying (cube (* (* (cbrt (/ PI 2)) (cbrt 0)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (* 0 (/ PI 2)) (- (/ 1 a) (/ 1 b))) * [misc]none: prog is (λ (a b) (* (* 0 (/ PI 2)) (- (/ 1 a) (/ 1 b)))) * * * [misc]progress: simplifying alt 87 of 102 * [enter]simplify: Simplifying (cube (* (* (cbrt (/ PI 2)) (cbrt 0)) (cbrt (- (/ 1 a) (/ 1 b))))) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (* 0 (/ PI 2)) (- (/ 1 a) (/ 1 b))) * [misc]none: prog is (λ (a b) (* (* 0 (/ PI 2)) (- (/ 1 a) (/ 1 b)))) * * * [misc]progress: simplifying alt 88 of 102 * [enter]simplify: Simplifying (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (sqr b) (sqr a)))) (cbrt (- (/ 1 a) (/ 1 b)))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (* (/ 1 (* (+ b a) (- b a))) (* PI 1/2)) (- (/ 1 a) (/ 1 b))) * [misc]none: prog is (λ (a b) (* (* (/ 1 (* (+ b a) (- b a))) (* PI 1/2)) (- (/ 1 a) (/ 1 b)))) * * * [misc]progress: simplifying alt 89 of 102 * [enter]simplify: Simplifying (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- a b))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (- a b) (* (* PI 1/2) (/ 1 (- (/ 1 (* b b)) (/ 1 (* a a)))))) * [misc]none: prog is (λ (a b) (* (- a b) (* (* PI 1/2) (/ 1 (- (/ 1 (* b b)) (/ 1 (* a a))))))) * * * [misc]progress: simplifying alt 90 of 102 * [enter]simplify: Simplifying (cube (* (cbrt (* 1/2 PI)) (* (cbrt (/ 1 (- (/ 1 (sqr b)) (/ 1 (sqr a))))) (cbrt (- b a))))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (* (- b a) (* (* PI 1/2) (/ 1 (- (/ 1 (* b b)) (/ 1 (* a a)))))) * [misc]none: prog is (λ (a b) (* (- b a) (* (* PI 1/2) (/ 1 (- (/ 1 (* b b)) (/ 1 (* a a))))))) * * * [misc]progress: simplifying alt 91 of 102 * [enter]simplify: Simplifying (/ (/ 1 (+ (/ b PI) (/ a PI))) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (/ a PI) (/ b PI))) (* (* 2 a) b)) * [misc]none: prog is (λ (a b) (/ (/ 1 (+ (/ a PI) (/ b PI))) (* (* 2 a) b))) * * * [misc]progress: simplifying alt 92 of 102 * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (* PI a))) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (/ PI b) (/ (/ a a) 2)) * [misc]none: prog is (λ (a b) (* (/ PI b) (/ (/ a a) 2))) * * * [misc]progress: simplifying alt 93 of 102 * [enter]simplify: Simplifying (/ (/ 1 (- (/ 1 (* PI a)))) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 (/ (- 1) (* PI a))) (* 2 (* b a))) * [misc]none: prog is (λ (a b) (/ (/ 1 (/ (- 1) (* PI a))) (* 2 (* b a)))) * * * [misc]progress: simplifying alt 94 of 102 * [enter]simplify: Simplifying (/ (/ 1 (cube (cbrt (+ (/ b PI) (/ a PI))))) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (/ a PI) (/ b PI))) (* b (* 2 a))) * [misc]none: prog is (λ (a b) (/ (/ 1 (+ (/ a PI) (/ b PI))) (* b (* 2 a)))) * * * [misc]progress: simplifying alt 95 of 102 * [enter]simplify: Simplifying (/ (/ 1 (cube (cbrt (+ (/ a PI) (/ b PI))))) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (/ b PI) (/ a PI))) (* (* 2 b) a)) * [misc]none: prog is (λ (a b) (/ (/ 1 (+ (/ b PI) (/ a PI))) (* (* 2 b) a))) * * * [misc]progress: simplifying alt 96 of 102 * [enter]simplify: Simplifying (/ (/ 1 (cube (cbrt (+ (/ a PI) (/ b PI))))) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ (/ b PI) (/ a PI))) (* (* 2 b) a)) * [misc]none: prog is (λ (a b) (/ (/ 1 (+ (/ b PI) (/ a PI))) (* (* 2 b) a))) * * * [misc]progress: simplifying alt 97 of 102 * [enter]simplify: Simplifying (/ (- (+ (/ (* PI (sqr b)) (pow a 3)) (/ PI a)) (/ (* PI b) (sqr a))) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (/ (cube a) (* b b))) (- (/ PI a) (* (/ b a) (/ PI a)))) (* (* b a) 2)) * [misc]none: prog is (λ (a b) (/ (+ (/ PI (/ (cube a) (* b b))) (- (/ PI a) (* (/ b a) (/ PI a)))) (* (* b a) 2))) * * * [misc]progress: simplifying alt 98 of 102 * [enter]simplify: Simplifying (/ (- (+ (/ PI b) (/ PI (* (pow b 3) (sqr a)))) (/ PI (* (sqr b) a))) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (+ (/ (/ PI (cube b)) (* a a)) (- (/ PI b) (/ (/ PI b) (* a b)))) (* (* a b) 2)) * [misc]none: prog is (λ (a b) (/ (+ (/ (/ PI (cube b)) (* a a)) (- (/ PI b) (/ (/ PI b) (* a b)))) (* (* a b) 2))) * * * [misc]progress: simplifying alt 99 of 102 * [enter]simplify: Simplifying (/ (+ (/ PI b) (+ (/ PI (* (pow b 3) (sqr a))) (/ PI (* (sqr b) a)))) (* 2 (* a b))) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (+ (+ (/ PI b) (/ (/ PI b) (* a b))) (/ (/ PI (cube b)) (* a a))) (* (* 2 a) b)) * [misc]none: prog is (λ (a b) (/ (+ (+ (/ PI b) (/ (/ PI b) (* a b))) (/ (/ PI (cube b)) (* a a))) (* (* 2 a) b))) * * * [misc]progress: simplifying alt 100 of 102 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (* PI b) (pow a 4))) (* 1/2 (/ PI (* b (sqr a))))) (* 1/2 (/ PI (pow a 3)))) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (fma 1/2 (- (/ (/ PI b) (* a a)) (/ PI (cube a))) (* (/ (* PI 1/2) (pow a 4)) b)) * [misc]none: prog is (λ (a b) (fma 1/2 (- (/ (/ PI b) (* a a)) (/ PI (cube a))) (* (/ (* PI 1/2) (pow a 4)) b))) * * * [misc]progress: simplifying alt 101 of 102 * [enter]simplify: Simplifying (- (+ (* 1/2 (/ PI (* (pow b 4) (pow a 3)))) (* 1/2 (/ PI (* (sqr b) a)))) (* 1/2 (/ PI (* (pow b 3) (sqr a))))) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (fma 1/2 (- (/ (/ PI b) (* a b)) (/ (/ PI (cube b)) (* a a))) (* (/ PI (cube a)) (/ 1/2 (pow b 4)))) * [misc]none: prog is (λ (a b) (fma 1/2 (- (/ (/ PI b) (* a b)) (/ (/ PI (cube b)) (* a a))) (* (/ PI (cube a)) (/ 1/2 (pow b 4))))) * * * [misc]progress: simplifying alt 102 of 102 * [enter]simplify: Simplifying (+ (* 1/2 (/ PI (* (pow b 3) (sqr a)))) (+ (* 1/2 (/ PI (* (pow b 4) (pow a 3)))) (* 1/2 (/ PI (* (sqr b) a))))) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (fma (/ 1/2 (* b b)) (/ PI a) (fma (/ PI (* (pow b 4) (cube a))) 1/2 (/ (* (/ 1/2 a) (/ PI a)) (cube b)))) * [misc]none: prog is (λ (a b) (fma (/ 1/2 (* b b)) (/ PI a) (fma (/ PI (* (pow b 4) (cube a))) 1/2 (/ (* (/ 1/2 a) (/ PI a)) (cube b))))) * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (sqr b) (sqr a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1 a) (/ 1 b)) (/ (+ b a) (/ PI 2))) (- b a)) * [enter]simplify: Simplifying (cbrt (/ (/ PI (+ a b)) (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI (+ b a)) (* (* 2 a) b))) * [exit]simplify: Simplified to (cbrt (/ (/ PI (+ b a)) (* (* 2 a) b))) * [enter]simplify: Simplifying (/ 1 (* 2 (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (/ (/ 1 b) (* 2 a)) * [exit]simplify: Simplified to (/ (/ 1 b) (* 2 a)) * [enter]simplify: Simplifying (* (* (/ b PI) (+ b a)) (* 2 a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (* 2 a) (* (+ a b) (/ b PI))) * [exit]simplify: Simplified to (* (* 2 a) (* (+ a b) (/ b PI))) * [enter]simplify: Simplifying (/ 1 (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (/ PI b) a) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (/ PI a) b) * [exit]simplify: Simplified to (/ (/ PI a) b) * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ b a) * [exit]simplify: Simplified to (+ b a) * [enter]simplify: Simplifying (/ (cbrt (/ PI (+ a b))) (cbrt (* 2 (* a b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* a b)))) * [exit]simplify: Simplified to (/ (cbrt (/ PI (+ b a))) (cbrt (* 2 (* a b)))) * [enter]simplify: Simplifying (* (* (cbrt (/ PI 2)) (cbrt (/ 1 (- (sqr b) (sqr a))))) (cbrt (- (/ 1 a) (/ 1 b)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* (- b a) (+ b a)))) (* (cbrt (/ PI 2)) (cbrt (- (/ 1 a) (/ 1 b))))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (* (- b a) (+ b a)))) (* (cbrt (/ PI 2)) (cbrt (- (/ 1 a) (/ 1 b))))) * [enter]simplify: Simplifying (cbrt (/ (+ a b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ a b) PI)) * [exit]simplify: Simplified to (cbrt (/ (+ a b) PI))