* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (369 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 3) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) 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 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [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 (/ -1 b) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) in a * [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 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 (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 2)) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) 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 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) 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 (- 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 (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) 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 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (* (+ b a) (- b a)) 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 (- 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 (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* a (- a)) into (* -1 (pow a 2)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 2))) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 2))) 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 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 (pow a 2) 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (+ 0 (* 1/2 (/ PI a))) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* a 1) (* 1 (- a))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI a)) (* -1 (pow a 2))) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 0 (* -1 (pow a 2)))))) 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 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 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* 1/2 (/ PI a)) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 1) (* 0 (- a)))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (pow a 2))) (+ (* (* 1/2 (/ PI (pow a 2))) (/ 1 (* -1 (pow a 2)))) (* (- (* 1/2 (/ PI (pow a 3)))) (/ 0 (* -1 (pow a 2)))))) 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 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 (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) 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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -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]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 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 (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) in a * [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) (/ 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 (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ (* -1/2 (* PI b)) 0) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 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]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) 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 (/ 1 b)) 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) 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 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 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 (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (* 1/2 (* PI a))) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) 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 a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) 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 (/ 1 b)) 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) 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 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 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 (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 b) (/ 1 a)) (- (/ 1 b) (/ 1 a))) 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 (- (/ 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 (* 1/2 (* PI a))) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) 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 a)) 1) 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 (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 a))) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* PI a)) (/ 0 1)))) 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 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 (- (+ (* (/ 1 a) (/ 0 a)))) 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 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) (- (/ 1 a))) (* 0 1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* PI a)) (/ (- (/ 1 (pow a 2))) 1)) (* (- (* 1/2 PI)) (/ 0 1)))) 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 (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) 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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -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 b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 (- 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 (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [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)) (/ 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 (* (* 1/2 PI) b) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* PI b)) 0) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 -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]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) 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 (/ 1 (- b))) 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)) 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 (- 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 (- 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 (/ (* 1/2 PI) (/ -1 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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]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)) (/ 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 (+ 0 (* -1/2 (* PI a))) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) 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 a))) 1) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) 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 (/ 1 (- b))) 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)) 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 (- 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 (- 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 (/ (* 1/2 PI) (/ -1 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- b)) (/ 1 (- a))) (- (/ 1 (- b)) (/ 1 (- a)))) 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]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)) (/ 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 (+ 0 (* -1/2 (* PI a))) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) 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 a))) 1) 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 (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 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 (- (/ -1 a)) into (/ 1 a) * [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 (/ -1 a)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* -1 (/ 1 a)) (* (- (/ 1 a)) -1)) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* PI a)) (/ 0 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 (+ (* 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 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 (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 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) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) 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 (- 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 (+ (* -1 0) (+ (* (- (/ 1 a)) (/ 1 a)) (* 0 -1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI a)) (/ (- (/ 1 (pow a 2))) 1)) (* (* 1/2 PI) (/ 0 1)))) 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 / 3 ] generating series at (2 1 3) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 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 (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 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 (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 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 (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* 1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* 1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* 1/2 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 (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ (/ PI 2) (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 (- 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 (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 (- 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 (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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) (+ (* (* -1/2 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* -1/2 PI) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* -1/2 PI) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* -1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* -1/2 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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) (+ (* (* -1/2 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 (* (* -1/2 PI) (/ 1 (- a))) into (* 1/2 (/ PI a)) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) 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 b) in a * [misc]taylor: Taking taylor expansion of -1 in a * [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 (/ -1 b) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) 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 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 b)) (/ (/ PI 2) a)) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 b)) 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 b) in b * [misc]taylor: Taking taylor expansion of -1 in b * [misc]backup-simplify: Simplify -1 into -1 * [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) 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 a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ (* 1/2 PI) a) into (* 1/2 (/ PI a)) * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) 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 (- (/ 0 1) (+ (* -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 (+ 0 (* 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 1) into PI * [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 (* 1/2 PI) into (* 1/2 PI) * [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 (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* 1/2 (/ PI a)) (/ 0 a)))) 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 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* 1/2 (/ PI a)) (/ 0 a)) (* 0 (/ 0 a)))) 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) (+ (* 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 (+ (* 1/2 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 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 a) (+ (* (* 1/2 (/ PI a)) (/ 0 a)) (* 0 (/ 0 a)) (* 0 (/ 0 a)))) 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 (+ (* (- (* 1/2 PI)) (* 1 (/ 1 b))) (* (* 1/2 PI) (* (/ 1 a) 1))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * [misc]approximate: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) 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 (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -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]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 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 (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) 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 (/ 1 b)) 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) 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 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 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 (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 b))) (/ (/ PI 2) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 b))) 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 (/ 1 b)) 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) 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 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 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 (/ (* 1/2 PI) (/ 1 a)) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 0 (* 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) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) 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 PI) into (* 1/2 PI) * [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) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 a)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 (+ (* 1/2 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 1) (* 0 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)) (+ (* (* 1/2 (* PI a)) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) 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 (+ (* 1/2 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 (+ (* (* 1/2 PI) (* (/ 1 a) 1)) (* (- (* 1/2 PI)) (* 1 (/ 1 b)))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * [misc]approximate: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) 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 (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -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 b * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) (/ 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 (- 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 (/ (* 1/2 PI) -1) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) 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 (/ 1 (- b))) 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)) 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 (- 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 (- 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 (/ (* 1/2 PI) (/ -1 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (/ PI 2) (/ -1 (/ 1 (- b)))) (/ (/ PI 2) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (/ PI 2) (/ -1 (/ 1 (- b)))) 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 (/ 1 (- b))) 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)) 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 (- 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 (- 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 (/ (* 1/2 PI) (/ -1 a)) into (* -1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 0 (* -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 (* 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) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) 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 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [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 (- 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 (/ 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 (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) 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 (+ (* 1/2 0) (* 0 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 (+ (* 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 (- 0) into 0 * [misc]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 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 PI) 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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)) (+ (* (* -1/2 (* PI a)) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 PI)) (* (/ 1 (- a)) 1)) (* (* 1/2 PI) (* 1 (/ 1 (- b))))) into (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ (log (+ b a)) (log (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI 2) b))) (+ (log (+ b a)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI 2) b))) (+ (log (+ b a)) (log (- b a)))) * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (log (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) (log (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) (log (* (- b a) (+ b a)))) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (371 enodes) * [exit]simplify: Simplified to (log (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (log (/ (- (/ (/ PI a) 2) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (* (* (+ b a) (+ b a)) (+ b a)) (* (* (- b a) (- b a)) (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (245 enodes) * [exit]simplify: Simplified to (/ (* (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)) (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2))) (/ (* (pow (+ b a) 3) (pow (- b a) 3)) (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)))) * [exit]simplify: Simplified to (/ (* (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)) (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2))) (/ (* (pow (+ b a) 3) (pow (- b a) 3)) (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)))) * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (* (* (+ b a) (- b a)) (* (+ b a) (- b a))) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (pow (/ (fma (/ PI 2) (/ -1 b) (/ PI (* a 2))) (* (+ b a) (- b a))) 3) * [exit]simplify: Simplified to (pow (/ (fma (/ PI 2) (/ -1 b) (/ PI (* a 2))) (* (+ b a) (- b a))) 3) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (320 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a))))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a)))) (cbrt (/ (- (/ (/ PI a) 2) (/ PI (* 2 b))) (* (- b a) (+ b a))))) * [enter]simplify: Simplifying (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * [exit]simplify: Simplified to (pow (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)) (* (- b a) (+ b a))) 3) * [exit]simplify: Simplified to (pow (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI a) 2)) (* (- b a) (+ b a))) 3) * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [enter]simplify: Simplifying (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (- (/ (/ PI -2) a) (/ (/ PI -2) b)) * [exit]simplify: Simplified to (- (/ (/ PI -2) a) (/ (/ PI -2) b)) * [enter]simplify: Simplifying (- (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (* (- a b) (+ a b)) * [exit]simplify: Simplified to (* (- a b) (+ a b)) * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ b a)) * * [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 (44 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a)) * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ b a)) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI 2) b))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* a 2)) (/ (/ PI 2) b))) (+ b a)) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (- b a)) * * * * [misc]progress: [ 16 / 67 ] 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 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (- b a)) * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ (/ PI a) 2) (/ PI (* b 2)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ (/ PI a) 2) (/ PI (* b 2)))) * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (+ b a) (- b a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (382 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ (/ PI a) 2) (/ PI (* b 2)))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (- (/ (/ PI a) 2) (/ PI (* b 2)))) * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (161 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (* (/ PI b) -1/2)) (* (fma (- a) (* a a) (pow b 3)) (fma (* a a) a (pow b 3)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (* (/ PI b) -1/2)) (* (fma (- a) (* a a) (pow b 3)) (fma (* a a) a (pow b 3)))) * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow b 3) (pow a 3)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (* (+ b a) (- b a)) (fma a (* a a) (pow b 3)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (* (+ b a) (- b a)) (fma a (* a a) (pow b 3)))) * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* b b) (* a a)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ PI (* -2 b))) (* (* (+ b a) (- b a)) (fma (- a) (* a a) (pow b 3)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ PI (* -2 b))) (* (* (+ b a) (- b a)) (fma (- a) (* a a) (pow b 3)))) * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* b b) (* a a)) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * [exit]simplify: Simplified to (/ (+ (/ (/ PI a) 2) (/ PI (* -2 b))) (* (* (- b a) (+ b a)) (* (- b a) (+ b a)))) * [exit]simplify: Simplified to (/ (+ (/ (/ PI a) 2) (/ PI (* -2 b))) (* (* (- b a) (+ b a)) (* (- b a) (+ b a)))) * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (349 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (fma (- a) (* a a) (pow b 3)) (+ b a))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (fma (- a) (* a a) (pow b 3)) (+ b a))) * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ b a) (- (* b b) (* a a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (- b a) (* (+ b a) (+ b a)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (- b a) (* (+ b a) (+ b a)))) * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow b 3) (pow a 3)) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ PI (* -2 b))) (* (- b a) (fma (* a a) a (pow b 3)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ PI (* -2 b))) (* (- b a) (fma (* a a) a (pow b 3)))) * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* b b) (* a a)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (+ b a) (* (- b a) (- b a)))) * [exit]simplify: Simplified to (/ (+ (/ PI (* a 2)) (/ (/ PI -2) b)) (* (+ b a) (* (- b a) (- b a)))) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ PI a) 2)) * [exit]simplify: Simplified to (expm1 (/ (/ PI a) 2)) * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (log1p (/ (/ PI a) 2)) * [exit]simplify: Simplified to (log1p (/ (/ PI a) 2)) * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (log (/ (/ PI a) 2)) * [exit]simplify: Simplified to (log (/ (/ PI a) 2)) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt (exp (/ PI a))) * [exit]simplify: Simplified to (sqrt (exp (/ PI a))) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ PI 2) a)) (cbrt (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI a) 2)) (cbrt (/ (/ PI a) 2))) * [exit]simplify: Simplified to (* (cbrt (/ (/ PI a) 2)) (cbrt (/ (/ PI a) 2))) * [enter]simplify: Simplifying (cbrt (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI a) 2)) * [exit]simplify: Simplified to (cbrt (/ (/ PI a) 2)) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ PI 2) a) (/ (/ PI 2) a)) (/ (/ PI 2) a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (171 enodes) * [exit]simplify: Simplified to (* (* (/ PI a) (/ PI 4)) (/ (/ PI a) (* a 2))) * [exit]simplify: Simplified to (* (* (/ PI a) (/ PI 4)) (/ (/ PI a) (* a 2))) * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI a) 2)) * [exit]simplify: Simplified to (sqrt (/ (/ PI a) 2)) * [enter]simplify: Simplifying (sqrt (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI a) 2)) * [exit]simplify: Simplified to (sqrt (/ (/ PI a) 2)) * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ PI 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (- (/ PI 2)) * [exit]simplify: Simplified to (- (/ PI 2)) * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [exit]simplify: Simplified to (/ 1 a) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ a (/ PI 2)) * [exit]simplify: Simplified to (/ a (/ PI 2)) * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ a (cbrt (/ PI 2))) * [exit]simplify: Simplified to (/ a (cbrt (/ PI 2))) * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (sqrt (/ PI 2))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ a (sqrt (/ PI 2))) * [exit]simplify: Simplified to (/ a (sqrt (/ PI 2))) * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (/ PI 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (/ a (/ PI 2)) * [exit]simplify: Simplified to (/ a (/ PI 2)) * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (/ 1 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * [exit]simplify: Simplified to (/ a 1/2) * [exit]simplify: Simplified to (/ a 1/2) * * * * [misc]progress: [ 48 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* a 2) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (* 2 a) * [exit]simplify: Simplified to (* 2 a) * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (expm1 (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (expm1 (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (log1p (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (log1p (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ PI 2) (/ -1 b)) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* -1/2 (/ PI b)) * [exit]simplify: Simplified to (* -1/2 (/ PI b)) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (log (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (log (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (exp (- (/ PI (* a 2)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (exp (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * [enter]simplify: Simplifying (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * [exit]simplify: Simplified to (pow (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) 3) * [exit]simplify: Simplified to (pow (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) 3) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [enter]simplify: Simplifying (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * [exit]simplify: Simplified to (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* 1/2 (/ PI a))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI a) 1/2 (/ (/ PI b) -2)) (* (+ a b) (- b a))) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* 1/2 (/ PI a))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI a) 1/2 (/ (/ PI b) -2)) (* (+ a b) (- b a))) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (* 1/2 (/ PI a))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (196 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI a) 1/2 (/ (/ PI b) -2)) (* (+ a b) (- b a))) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ 1/2 (- b a))) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ 1/2 (- b a))) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) (* (+ b a) (- b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (111 enodes) * * [misc]simplify: iters left: 3 (306 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI a) (/ PI b)) (+ a b)) (/ 1/2 (- b a))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ PI (* a 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ PI (* (/ 1 a) 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 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 (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)))) 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 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (/ 1 (- a))) into (* 1/2 (/ PI a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ PI (* 2 b)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 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 b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 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 b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) * [misc]approximate: Taking taylor expansion of (/ PI (* 2 (/ 1 b))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) * [misc]approximate: Taking taylor expansion of (/ PI (* 2 (/ 1 (- b)))) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 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 (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (/ 1 (- b))) into (* 1/2 (/ PI b)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 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 b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ 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 (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ 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 (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 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 (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 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 (pow b 2) 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) into 0 * [misc]backup-simplify: Simplify 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 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 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 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 (+ (* 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 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))) (* 0 (/ 0 (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 4))) in b * [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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 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 (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 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 (* 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 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 (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 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 (* 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 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 (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) 1) 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) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 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)) (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* PI b)) (/ (/ 1 b) 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 (+ (* PI 0) (+ (* 0 1) (* 0 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 (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 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)) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) 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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 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 (+ (* 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 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 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)) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) 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)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 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 (pow b 2) 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 (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 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 (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI a))) -1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 (- 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 (* 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 (- 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 (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 (- 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 (* 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 (- 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 (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) 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) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [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 (+ (* 2 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 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 (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) -1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) -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 (+ (* PI 0) (+ (* 0 1) (* 0 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 (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))))) 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 (- 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 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 (+ (* 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 (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))))) 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 (- 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -1)) (* PI (/ 0 -1)) (* (- (/ PI b)) (/ (- (/ 1 b)) -1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 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 (pow b 2) 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 (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* b a))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 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 b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) a) into (* -1/2 (/ 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 (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* -1/2 (/ PI a)) (- a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ 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 (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ PI (* 2 b))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 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 (* 2 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ PI (* 2 b)) into (* 1/2 (/ 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 (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) 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 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 (pow b 2) 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ -1 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 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 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* 2 b)) (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 1 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ -1 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 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) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 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 (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* 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 (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 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 (* 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 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 (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ PI (* 2 (/ 1 b)))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 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 (* 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 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 (- (* 1/2 (* PI b))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* PI b)))) into (- (* 1/2 (* PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI b))) 1) into (* -1/2 (* 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) -1) 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 (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 2 b)) (+ (* (* 1/2 (* PI b)) (/ 0 (/ 2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* PI b)) (/ (/ 1 b) 1)))) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ PI -1) (+ (* (* 1/2 (* PI b)) (/ (/ 1 b) -1)))) 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 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)) (/ 0 (/ 2 b))) (* 0 (/ 0 (/ 2 b))))) 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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* PI b)) (/ 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) -1) (+ (* (* 1/2 (* PI b)) (/ 0 -1)) (* (- (* 1/2 PI)) (/ (/ 1 b) -1)))) 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)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 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 (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI a))) -1) into (* 1/2 (* 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 (/ (* 1/2 (* PI a)) -1) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 (- 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 (* 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 (- 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 (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ PI (* 2 (/ 1 (- b))))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* 2 (/ 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 (* 2 (/ 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 (- 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 (* 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 (- 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 (- (* -1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* PI b))) into (* 1/2 (* PI b)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI b)) -1) into (* -1/2 (* 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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) 1) 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 (+ (* 2 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 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 (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) -1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) -1)))) 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ PI 1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) 1)))) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -2 b)) (+ (* (* -1/2 (* PI b)) (/ 0 (/ -2 b))) (* 0 (/ 0 (/ -2 b))))) 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 (- 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* PI b)) (/ 0 -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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* (* 1/2 PI) (/ (- (/ 1 b)) 1)))) 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: simplifying candidates * * * * [misc]progress: [ 1 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (/ PI (* 2 a))) * [exit]simplify: Simplified to (expm1 (/ PI (* 2 a))) * * * * [misc]progress: [ 2 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ PI (* 2 a))) * [exit]simplify: Simplified to (log1p (/ PI (* 2 a))) * * * * [misc]progress: [ 3 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (/ PI (* 2 a))) * [exit]simplify: Simplified to (log (/ PI (* 2 a))) * * * * [misc]progress: [ 5 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (exp (/ PI a))) * [exit]simplify: Simplified to (sqrt (exp (/ PI a))) * * * * [misc]progress: [ 6 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (* a 2))) (cbrt (/ PI (* a 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (* 2 a))) (cbrt (/ PI (* 2 a)))) * [exit]simplify: Simplified to (* (cbrt (/ PI (* 2 a))) (cbrt (/ PI (* 2 a)))) * [enter]simplify: Simplifying (cbrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (cbrt (/ PI (* 2 a))) * * * * [misc]progress: [ 7 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI (* a 2)) (/ PI (* a 2))) (/ PI (* a 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (/ (/ PI a) (/ 2 PI)) (/ (/ PI a) (* a 4))) * [exit]simplify: Simplified to (* (/ (/ PI a) (/ 2 PI)) (/ (/ PI a) (* a 4))) * * * * [misc]progress: [ 8 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [enter]simplify: Simplifying (sqrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * * * * [misc]progress: [ 9 / 204 ] 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 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* -2 a) * [exit]simplify: Simplified to (* -2 a) * * * * [misc]progress: [ 10 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* a 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* 2 a)) * [exit]simplify: Simplified to (/ 1 (* 2 a)) * * * * [misc]progress: [ 12 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a 2) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ a (/ PI 2)) * [exit]simplify: Simplified to (/ a (/ PI 2)) * * * * [misc]progress: [ 13 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [exit]simplify: Simplified to (/ PI a) * * * * [misc]progress: [ 14 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (/ PI (* b 2))) * [exit]simplify: Simplified to (expm1 (/ PI (* b 2))) * * * * [misc]progress: [ 15 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ PI (* b 2))) * [exit]simplify: Simplified to (log1p (/ PI (* b 2))) * * * * [misc]progress: [ 16 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (/ PI (* b 2))) * [exit]simplify: Simplified to (log (/ PI (* b 2))) * * * * [misc]progress: [ 18 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (exp (/ PI (* b 2))) * [exit]simplify: Simplified to (exp (/ PI (* b 2))) * * * * [misc]progress: [ 19 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (* 2 b))) (cbrt (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (* b 2))) (cbrt (/ PI (* b 2)))) * [exit]simplify: Simplified to (* (cbrt (/ PI (* b 2))) (cbrt (/ PI (* b 2)))) * [enter]simplify: Simplifying (cbrt (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (* b 2))) * [exit]simplify: Simplified to (cbrt (/ PI (* b 2))) * * * * [misc]progress: [ 20 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI (* 2 b)) (/ PI (* 2 b))) (/ PI (* 2 b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (283 enodes) * [exit]simplify: Simplified to (/ (* (/ PI b) (/ PI b)) (* (/ 2 PI) (* 4 b))) * [exit]simplify: Simplified to (/ (* (/ PI b) (/ PI b)) (* (/ 2 PI) (* 4 b))) * * * * [misc]progress: [ 21 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * [enter]simplify: Simplifying (sqrt (/ PI (* 2 b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * [exit]simplify: Simplified to (sqrt (/ PI (* b 2))) * * * * [misc]progress: [ 22 / 204 ] 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 (- (* 2 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* -2 b) * [exit]simplify: Simplified to (* -2 b) * * * * [misc]progress: [ 23 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 2 b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1/2 b) * [exit]simplify: Simplified to (/ 1/2 b) * * * * [misc]progress: [ 25 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 2 b) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ 2 (/ PI b)) * [exit]simplify: Simplified to (/ 2 (/ PI b)) * * * * [misc]progress: [ 26 / 204 ] 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) * * * * [misc]progress: [ 27 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * * * * [misc]progress: [ 28 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * * * * [misc]progress: [ 29 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (log (+ a b))) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (log (+ a b))) * * * * [misc]progress: [ 31 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (log (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) * [exit]simplify: Simplified to (log (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) * * * * [misc]progress: [ 32 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * * * * [misc]progress: [ 33 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (* (+ b a) (+ b a)) (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (149 enodes) * * [misc]simplify: iters left: 3 (490 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)) 3) * * * * [misc]progress: [ 34 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)))) * [enter]simplify: Simplifying (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * * * * [misc]progress: [ 35 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) 3) * * * * [misc]progress: [ 36 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [enter]simplify: Simplifying (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) * * * * [misc]progress: [ 37 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (- (/ (/ PI 2) b) (/ PI (* 2 a))) * [exit]simplify: Simplified to (- (/ (/ PI 2) b) (/ PI (* 2 a))) * [enter]simplify: Simplifying (- (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- a) b) * [exit]simplify: Simplified to (- (- a) b) * * * * [misc]progress: [ 38 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* a 2)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ PI (* (* 2 a) (+ a b))) * [exit]simplify: Simplified to (/ PI (* (* 2 a) (+ a b))) * [enter]simplify: Simplifying (/ (/ PI (* 2 b)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ PI (* (* b 2) (+ b a))) * [exit]simplify: Simplified to (/ PI (* (* b 2) (+ b a))) * * * * [misc]progress: [ 39 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 40 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 41 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * * * * [misc]progress: [ 42 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) * * * * [misc]progress: [ 43 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * * * * [misc]progress: [ 44 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [exit]simplify: Simplified to (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (+ a b)) * * * * [misc]progress: [ 45 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (+ a b))) * * * * [misc]progress: [ 46 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * * * * [misc]progress: [ 47 / 204 ] 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 * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) * * * * [misc]progress: [ 48 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) * * * * [misc]progress: [ 49 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) * * * * [misc]progress: [ 50 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (+ b a)) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (+ b a)) * * * * [misc]progress: [ 51 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (+ a b))) * * * * [misc]progress: [ 52 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * * * * [misc]progress: [ 53 / 204 ] 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 * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)) * * * * [misc]progress: [ 54 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (+ a b))) * * * * [misc]progress: [ 55 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (+ a b))) * * * * [misc]progress: [ 56 / 204 ] 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 (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (+ b a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) * * * * [misc]progress: [ 57 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 204 ] 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 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 59 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * * * * [misc]progress: [ 60 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * * * [misc]progress: [ 61 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (+ a b))) * * * * [misc]progress: [ 62 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ (/ PI 2) b)) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ (/ PI 2) b)) * * * * [misc]progress: [ 63 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 64 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 65 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * * * * [misc]progress: [ 66 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (+ a b) (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 67 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (+ a b) (- (/ (/ PI a) 2) (/ (/ PI 2) b))) * * * * [misc]progress: [ 68 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ 1 (* a 2)) (/ 1 (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (+ a b) (+ (/ 1 (* a 2)) (/ -1/2 b))) * [exit]simplify: Simplified to (/ (+ a b) (+ (/ 1 (* a 2)) (/ -1/2 b))) * * * * [misc]progress: [ 69 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (fma a (* a a) (pow b 3))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (fma a (* a a) (pow b 3))) * * * * [misc]progress: [ 70 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (375 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 71 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (* (* a 2) (* 2 b))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (176 enodes) * * [misc]simplify: iters left: 2 (461 enodes) * [exit]simplify: Simplified to (* (* 4 (+ a b)) (* a b)) * [exit]simplify: Simplified to (* (* 4 (+ a b)) (* a b)) * * * * [misc]progress: [ 72 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ PI (* 2 b)) (/ PI (* 2 b))) (* (/ PI (* a 2)) (/ PI (* 2 b)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (48 enodes) * * [misc]simplify: iters left: 4 (187 enodes) * [exit]simplify: Simplified to (fma (* (/ PI (* b 2)) (+ a b)) (+ (/ PI (* b 2)) (/ (/ PI a) 2)) (* (* (+ a b) (/ PI a)) (/ (/ PI a) 4))) * [exit]simplify: Simplified to (fma (* (/ PI (* b 2)) (+ a b)) (+ (/ PI (* b 2)) (/ (/ PI a) 2)) (* (* (+ a b) (/ PI a)) (/ (/ PI a) 4))) * * * * [misc]progress: [ 73 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (+ (/ PI (* a 2)) (/ PI (* 2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (* (/ (+ a b) 2) (+ (/ PI b) (/ PI a))) * [exit]simplify: Simplified to (* (/ (+ a b) 2) (+ (/ PI b) (/ PI a))) * * * * [misc]progress: [ 74 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (expm1 (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 75 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (log1p (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 76 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (+ b a))) (log (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ (log (+ a b)) (log (- b a)))) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ (log (+ a b)) (log (- b a)))) * * * * [misc]progress: [ 78 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (log (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ (log (- b a)) (log (+ a b)))) * [exit]simplify: Simplified to (- (log (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (+ (log (- b a)) (log (+ a b)))) * * * * [misc]progress: [ 79 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * [exit]simplify: Simplified to (log (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (log (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 80 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (289 enodes) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (exp (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 81 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (* (+ b a) (+ b a)) (+ b a))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (225 enodes) * [exit]simplify: Simplified to (* (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (pow (- b a) 3) (pow (+ a b) 3))) (* (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (pow (- b a) 3) (pow (+ a b) 3))) (* (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * * * * [misc]progress: [ 82 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))) 3) * * * * [misc]progress: [ 83 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) (cbrt (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b))))) * [enter]simplify: Simplifying (cbrt (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 84 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (371 enodes) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) 3) * [exit]simplify: Simplified to (pow (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) 3) * * * * [misc]progress: [ 85 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [enter]simplify: Simplifying (sqrt (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (+ a b)))) * * * * [misc]progress: [ 86 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (- (/ (/ PI 2) b) (/ PI (* 2 a))) (+ a b)) * [exit]simplify: Simplified to (/ (- (/ (/ PI 2) b) (/ PI (* 2 a))) (+ a b)) * [enter]simplify: Simplifying (- (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- a b) * [exit]simplify: Simplified to (- a b) * * * * [misc]progress: [ 87 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (/ PI (* a 2)) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* (* 2 a) (+ a b))) * [exit]simplify: Simplified to (/ (/ PI (- b a)) (* (* 2 a) (+ a b))) * [enter]simplify: Simplifying (/ (/ (/ PI (* 2 b)) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (211 enodes) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* b (+ b a))) * [exit]simplify: Simplified to (/ (/ (/ PI 2) (- b a)) (* b (+ b a))) * * * * [misc]progress: [ 88 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) * * * * [misc]progress: [ 89 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b)))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * * * * [misc]progress: [ 90 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b))) (cbrt (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (- b a)) * [exit]simplify: Simplified to (/ (cbrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (- b a)) * * * * [misc]progress: [ 91 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (cbrt (- b a))) * * * * [misc]progress: [ 92 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (sqrt (- b a))) * * * * [misc]progress: [ 93 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (- b a)) * [exit]simplify: Simplified to (/ (sqrt (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (+ a b))) (- b a)) * * * * [misc]progress: [ 94 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (318 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a)))) (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 95 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (* (cbrt (+ a b)) (sqrt (- b a))))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (cbrt (+ a b)) (* (cbrt (+ a b)) (sqrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 96 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (- b a))) * * * * [misc]progress: [ 97 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [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 (93 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (* (cbrt (- b a)) (sqrt (+ a b))) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) (* (* (cbrt (- b a)) (sqrt (+ a b))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 98 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (- b a)) (sqrt (+ a b))))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (- b a)) (sqrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 99 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (sqrt (+ b a))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (/ (sqrt (+ a b)) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (+ a b)) (- b a))) * * * * [misc]progress: [ 100 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a))) (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))) * * * * [misc]progress: [ 101 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (141 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (* (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b))))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))) * * * * [misc]progress: [ 102 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) 1) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (* (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (cbrt (- (/ PI (* 2 a)) (/ (/ PI 2) b)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 103 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (* (cbrt (+ a b)) (cbrt (- b a))) (* (cbrt (+ a b)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 104 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (- b a)) (* (cbrt (+ a b)) (cbrt (+ a b))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 105 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (+ a b)) (- b a))) * * * * [misc]progress: [ 106 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (sqrt (+ a b)) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 107 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 108 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (+ a b)) (- b a))) * * * * [misc]progress: [ 109 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (cbrt (- b a)) (+ a b))) * * * * [misc]progress: [ 110 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) (* (sqrt (- b a)) (+ a b))) * * * * [misc]progress: [ 111 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) 1) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (sqrt (- (/ PI (* 2 a)) (/ (/ PI 2) b))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (- (/ PI (* 2 a)) (/ PI (* 2 b)))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 112 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 113 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (* (sqrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (* (sqrt (- b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 114 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (cbrt (+ a b)))) * * * * [misc]progress: [ 115 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 116 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 117 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) 1) * * [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 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (sqrt (+ a b)))) * * * * [misc]progress: [ 118 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * * * * [misc]progress: [ 119 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 120 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 121 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (* (cbrt (+ b a)) (cbrt (- b a))) (* (cbrt (+ b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (* (cbrt (+ b a)) (cbrt (- b a))) (* (cbrt (+ b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 122 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (* (cbrt (+ b a)) (sqrt (- b a))) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (* (cbrt (+ b a)) (sqrt (- b a))) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 123 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (+ b a)) (- b a))) * * * * [misc]progress: [ 124 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (- b a)) (* (cbrt (- b a)) (sqrt (+ b a))))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (- b a)) (* (cbrt (- b a)) (sqrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (sqrt (+ b a)))) * * * * [misc]progress: [ 125 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (sqrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (sqrt (- b a)) (sqrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (sqrt (+ b a)))) * * * * [misc]progress: [ 126 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (+ b a)) (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (+ b a)) (- b a))) * * * * [misc]progress: [ 127 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (cbrt (- b a)) (+ b a))) * * * * [misc]progress: [ 128 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (+ b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (sqrt (- b a)) (+ b a))) * * * * [misc]progress: [ 129 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) 1) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) * [exit]simplify: Simplified to (+ (sqrt (/ PI (* 2 b))) (sqrt (/ PI (* 2 a)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* 2 b)))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 130 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 131 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (* (sqrt (- b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (* (sqrt (- b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 132 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (cbrt (+ a b)))) * * * * [misc]progress: [ 133 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 134 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- b a))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 135 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ b a))) 1) * * [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 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (- b a) (sqrt (+ a b)))) * * * * [misc]progress: [ 136 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * * * * [misc]progress: [ 137 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 138 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 139 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ PI (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [exit]simplify: Simplified to (/ PI (* (* (cbrt (- b a)) (cbrt (+ b a))) (* (cbrt (- b a)) (cbrt (+ b a))))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (cbrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (cbrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 140 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (/ PI (sqrt (- b a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (sqrt (- b a)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (sqrt (- b a)) (cbrt (+ a b)))) * * * * [misc]progress: [ 141 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (cbrt (+ a b)))) * * * * [misc]progress: [ 142 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ PI (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ PI (sqrt (+ b a))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (+ b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (cbrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (cbrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 143 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ PI (* (sqrt (- b a)) (sqrt (+ b a)))) * [exit]simplify: Simplified to (/ PI (* (sqrt (- b a)) (sqrt (+ b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (+ b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (sqrt (- b a)) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (sqrt (- b a)) (sqrt (+ a b)))) * * * * [misc]progress: [ 144 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (sqrt (+ b a))) 1) * * [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 (19 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (+ b a))) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (sqrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (sqrt (+ a b)))) * * * * [misc]progress: [ 145 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1 (* 2 a))) (* (+ a b) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1 (* 2 a))) (* (+ a b) (cbrt (- b a)))) * * * * [misc]progress: [ 146 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1 (* 2 a))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1 (* 2 a))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 147 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * [enter]simplify: Simplifying (/ (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 148 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- b a))) (cbrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (cbrt (- b a)))) * * * * [misc]progress: [ 149 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 150 / 204 ] 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 * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 151 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (cbrt (- b a))) * * * * [misc]progress: [ 152 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ 1 (+ b a)) (sqrt (- b a))) * * * * [misc]progress: [ 153 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ (/ PI 2) b)) * [exit]simplify: Simplified to (- (/ PI (* 2 a)) (/ (/ PI 2) b)) * [enter]simplify: Simplifying (/ (/ 1 (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (186 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * [exit]simplify: Simplified to (/ 1 (* (+ b a) (- b a))) * * * * [misc]progress: [ 154 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ (pow b 3) (pow a 3))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (fma (* b b) b (pow a 3)) (* (cbrt (- b a)) (cbrt (- b a))))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (fma (* b b) b (pow a 3)) (* (cbrt (- b a)) (cbrt (- b a))))) * [enter]simplify: Simplifying (/ (+ (* b b) (- (* a a) (* b a))) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (cbrt (- b a))) * * * * [misc]progress: [ 155 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ (pow b 3) (pow a 3))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (sqrt (- b a)) (fma b (* b b) (pow a 3)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (sqrt (- b a)) (fma b (* b b) (pow a 3)))) * [enter]simplify: Simplifying (/ (+ (* b b) (- (* a a) (* b a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (fma (- b a) b (* a a)) (sqrt (- b a))) * * * * [misc]progress: [ 156 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ (pow b 3) (pow a 3))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (220 enodes) * * [misc]simplify: iters left: 1 (428 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (fma (* a a) a (pow b 3))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (fma (* a a) a (pow b 3))) * [enter]simplify: Simplifying (/ (+ (* b b) (- (* a a) (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (- b a)) * [exit]simplify: Simplified to (/ (fma b (- b a) (* a a)) (- b a)) * * * * [misc]progress: [ 157 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (309 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a))) (* (cbrt (- b a)) (* (+ a b) (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (cbrt (- b a))) (* (cbrt (- b a)) (* (+ a b) (- b a)))) * [enter]simplify: Simplifying (/ (- b a) (cbrt (- b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (- b a) (cbrt (- b a))) * * * * [misc]progress: [ 158 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (246 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (* (- b a) (+ a b)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (sqrt (- b a)) (* (- b a) (+ a b)))) * [enter]simplify: Simplifying (/ (- b a) (sqrt (- b a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (- b a) (sqrt (- b a))) * * * * [misc]progress: [ 159 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- (* b b) (* a a))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (210 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (- b a) (+ a b))) * [enter]simplify: Simplifying (/ (- b a) (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 160 / 204 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * * * * [misc]progress: [ 162 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 163 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (327 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (+ a b)) (* (cbrt (- b a)) (cbrt (- b a)))) * * * * [misc]progress: [ 164 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ PI (* 2 b))) (* (+ a b) (sqrt (- b a)))) * * * * [misc]progress: [ 165 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI b) 2)) (+ a b)) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI b) 2)) (+ a b)) * * * * [misc]progress: [ 166 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (cbrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (- b a) (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI 2) b)) (+ a b)))) * [exit]simplify: Simplified to (/ (- b a) (cbrt (/ (- (/ PI (* a 2)) (/ (/ PI 2) b)) (+ a b)))) * * * * [misc]progress: [ 167 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (sqrt (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (- b a) (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI 2) b)) (+ a b)))) * [exit]simplify: Simplified to (/ (- b a) (sqrt (/ (- (/ PI (* a 2)) (/ (/ PI 2) b)) (+ a b)))) * * * * [misc]progress: [ 168 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 169 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ a b))) (cbrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 170 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (cbrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * * * * [misc]progress: [ 171 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ a b))) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (- b a) (cbrt (+ a b))) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 172 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ a b))) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (- b a) (sqrt (+ a b))) (sqrt (- (/ PI (* a 2)) (/ PI (* b 2))))) * * * * [misc]progress: [ 173 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (sqrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * [exit]simplify: Simplified to (/ (* (+ a b) (- b a)) (sqrt (- (/ (/ PI a) 2) (/ PI (* b 2))))) * * * * [misc]progress: [ 174 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 175 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 176 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 177 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 178 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 179 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ PI (* 2 b)))) (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (444 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI 2) b)))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (sqrt (/ PI (* a 2))) (sqrt (/ (/ PI 2) b)))) * * * * [misc]progress: [ 180 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 181 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 182 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 183 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (+ (/ -1/2 b) (/ (/ 1 a) 2))) * [exit]simplify: Simplified to (/ (* (cbrt (+ a b)) (- b a)) (+ (/ -1/2 b) (/ (/ 1 a) 2))) * * * * [misc]progress: [ 184 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (sqrt (+ b a)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (+ (/ -1/2 b) (/ (/ 1 a) 2))) * [exit]simplify: Simplified to (/ (* (sqrt (+ a b)) (- b a)) (+ (/ -1/2 b) (/ (/ 1 a) 2))) * * * * [misc]progress: [ 185 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ 1 (* a 2)) (/ 1 (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (299 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ 1 (* a 2)) (/ 1/2 b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ 1 (* a 2)) (/ 1/2 b))) * * * * [misc]progress: [ 186 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (- (/ PI (* a 2)) (/ (/ PI 2) b))) * * * * [misc]progress: [ 187 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ 1 (+ b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * [exit]simplify: Simplified to (* (+ a b) (- b a)) * * * * [misc]progress: [ 188 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (+ (* b b) (- (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (- b a) (fma (- b a) b (* a a))) * [exit]simplify: Simplified to (/ (- b a) (fma (- b a) b (* a a))) * * * * [misc]progress: [ 189 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 190 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (373 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (fma (- a) (* a a) (pow b 3)) (+ a b))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (fma (- a) (* a a) (pow b 3)) (+ a b))) * * * * [misc]progress: [ 191 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (+ b a)) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (* (+ a b) (+ a b)) (- b a))) * [exit]simplify: Simplified to (/ (- (/ PI (* 2 a)) (/ (/ PI 2) b)) (* (* (+ a b) (+ a b)) (- b a))) * * * * [misc]progress: [ 192 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * * * * [misc]progress: [ 193 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* 1/2 (/ PI a)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ PI (* b 2))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 194 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* 1/2 (/ PI a)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ PI (* b 2))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 195 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* 1/2 (/ PI a)) (/ PI (* 2 b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (- (* (/ PI a) 1/2) (/ PI (* b 2))) (* (- b a) (+ a b))) * * * * [misc]progress: [ 196 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* 2 a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 197 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* 2 a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 198 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* 2 a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 199 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ 1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 200 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ -1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 201 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ -1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 202 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 203 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 204 / 204 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1 2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ PI (* a 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ PI (* (/ 1 a) 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) 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 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 a)) into (* 1/2 (/ PI a)) * [misc]approximate: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 2)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 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 (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)))) 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 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 2))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)) (* 0 (/ 0 -2)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (/ 1 (- a))) into (* 1/2 (/ PI a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (* 2 b) PI)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 b) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (* 2 b) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 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 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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 2 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 b) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (* 2 b) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 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 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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 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 (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 b)) PI)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 b)) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 b)) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 2 PI)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 b)) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 b)) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 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 (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 PI) (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))) (* 0 (/ 0 (/ 2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (/ 1 b)) into (* 1/2 (/ PI b)) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 (- b))) PI)) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 (- b))) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 (- b))) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -2 PI)) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 (- b))) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 (- b))) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 PI) (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))) (* 0 (/ 0 (/ -2 PI))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1/2 PI) (/ 1 (- b))) into (* 1/2 (/ PI b)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1 2 2) * [misc]approximate: Taking taylor expansion of (/ (* 2 b) PI) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* 2 b) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 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 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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (/ (* 2 b) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 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 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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (+ (* 2 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 (+ (* 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 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 (* (/ 2 PI) b) into (* 2 (/ b PI)) * [misc]approximate: Taking taylor expansion of (/ (* 2 (/ 1 b)) PI) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 b)) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 b)) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 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 (* (/ 2 PI) (/ 1 (/ 1 b))) into (* 2 (/ b PI)) * [misc]approximate: Taking taylor expansion of (/ (* 2 (/ 1 (- b))) PI) in (b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 (- b))) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 (- b))) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 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 (+ (* 2 0) (* 0 -1)) 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 (- 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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) 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 (- 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 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 (* (/ -2 PI) (/ 1 (/ 1 (- b)))) into (* 2 (/ b PI)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a)) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* a 2) into (* 2 a) * [misc]backup-simplify: Simplify (/ PI (* 2 a)) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 b) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (* 2 b) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 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 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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 2 PI)) into (* 1/2 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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ 0 a) into a * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) a) into (* -1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 b) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (* 2 b) PI) in a * [misc]taylor: Taking taylor expansion of (* 2 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 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 (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ (* 2 b) PI) into (* 2 (/ b PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ b PI))) into (* 1/2 (/ 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 (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a)) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* a 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 (* a 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 0 2) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 2)) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 b) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (* 2 b) PI) in a * [misc]taylor: Taking taylor expansion of (* 2 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 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 (* 2 b) into (* 2 b) * [misc]backup-simplify: Simplify (/ (* 2 b) PI) into (* 2 (/ b PI)) * [misc]backup-simplify: Simplify (/ 1 (* 2 (/ b PI))) into (* 1/2 (/ 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 (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 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 (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 (/ PI b))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ PI b)))) into (- (* 1/2 (/ PI b))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ PI b))) b) (+ (* (* 1/2 (/ PI b)) (/ 1 b)))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 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 (pow b 2) 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) into 0 * [misc]backup-simplify: Simplify 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 0) (* 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* 2 (/ b PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 (/ b PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 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 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 (+ (* 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 0) (* 0 2))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (* 2 (/ b PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (/ PI b)) (/ 0 (* 2 (/ b PI)))) (* 0 (/ 0 (* 2 (/ b PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* (- (/ PI (pow b 2))) (/ 0 b)) (* (/ PI (pow b 3)) (/ 1 b)))) into (- (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 4))) in b * [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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ 1 (/ (* 2 (/ 1 b)) PI))) (+ (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ 1 (/ (* 2 (/ 1 b)) PI))) (+ (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ 1 (/ (* 2 (/ 1 b)) PI))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ 1 a) 2) into (/ 2 a) * [misc]backup-simplify: Simplify (/ PI (/ 2 a)) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 b)) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 b)) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 2 PI) into (/ 2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ 2 PI)) into (* 1/2 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 (+ (* 1/2 (* PI a)) 0) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ 1 (/ (* 2 (/ 1 b)) PI))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ 1 (/ (* 2 (/ 1 b)) PI))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 b)) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 b)) PI) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 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 (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (/ 2 b) PI) into (/ 2 (* b PI)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* b PI))) into (* 1/2 (* 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]backup-simplify: Simplify (- (* 1/2 (* b PI))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* b PI)))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* b PI))) 1) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 a) 2)) (/ 1 (/ (* 2 (/ 1 b)) PI))) (+ (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 a) 2)) (/ 1 (/ (* 2 (/ 1 b)) PI))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 a) 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 (* (/ 1 a) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* 1 2) into 2 * [misc]backup-simplify: Simplify (/ PI 2) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 b)) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 b)) PI) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 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 (* 2 (/ 1 b)) into (/ 2 b) * [misc]backup-simplify: Simplify (/ (/ 2 b) PI) into (/ 2 (* b PI)) * [misc]backup-simplify: Simplify (/ 1 (/ 2 (* b PI))) into (* 1/2 (* 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]backup-simplify: Simplify (- (* 1/2 (* b PI))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (* b PI)))) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* b PI))) 1) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b 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 (* 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 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 (* b PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* b PI)) (/ 0 (/ 2 (* b PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* b PI)) (/ (/ 1 b) 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 (+ (* 0 0) (+ (* 1 0) (* 0 PI))) 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 (+ (* 1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* b PI)) (/ 0 (/ 2 (* b PI)))) (* 0 (/ 0 (/ 2 (* b 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)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* b PI)) (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ 2 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* 1/2 (* b PI)) (/ 0 (/ 2 (* b PI)))) (* 0 (/ 0 (/ 2 (* b PI)))) (* 0 (/ 0 (/ 2 (* b 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)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* b PI)) (/ 0 1)) (* PI (/ 0 1)) (* (- (/ PI b)) (/ (/ 1 b) 1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 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 (pow b 2) 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 (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ 1 (/ (* 2 (/ 1 (- b))) PI))) (+ (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ 1 (/ (* 2 (/ 1 (- b))) PI))) (+ (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ 1 (/ (* 2 (/ 1 (- b))) PI))) in b * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* (/ -1 a) 2) into (/ -2 a) * [misc]backup-simplify: Simplify (/ PI (/ -2 a)) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 (- b))) PI)) in b * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 (- b))) PI) in b * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 (- 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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ -2 PI) into (/ -2 PI) * [misc]backup-simplify: Simplify (/ 1 (/ -2 PI)) into (* -1/2 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 (+ (* -1/2 (* PI a)) 0) into (- (* 1/2 (* PI a))) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* PI a))) -1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ 1 (/ (* 2 (/ 1 (- b))) PI))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ 1 (/ (* 2 (/ 1 (- b))) PI))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 (- b))) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 (- b))) PI) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 (- 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 (* 2 (/ -1 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ (/ -2 b) PI) into (/ -2 (* b PI)) * [misc]backup-simplify: Simplify (/ 1 (/ -2 (* b PI))) into (* -1/2 (* 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]backup-simplify: Simplify (- (* -1/2 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (/ (- (/ PI (* (/ 1 (- a)) 2)) (/ 1 (/ (* 2 (/ 1 (- b))) PI))) (+ (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (- (/ PI (* (/ 1 (- a)) 2)) (/ 1 (/ (* 2 (/ 1 (- b))) PI))) in a * [misc]taylor: Taking taylor expansion of (/ PI (* (/ 1 (- a)) 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 (* (/ 1 (- a)) 2) 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 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (* -1 2) into -2 * [misc]backup-simplify: Simplify (/ PI -2) into (* -1/2 PI) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (* 2 (/ 1 (- b))) PI)) in a * [misc]taylor: Taking taylor expansion of (/ (* 2 (/ 1 (- b))) PI) in a * [misc]taylor: Taking taylor expansion of (* 2 (/ 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 (- 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 (* 2 (/ -1 b)) into (/ -2 b) * [misc]backup-simplify: Simplify (/ (/ -2 b) PI) into (/ -2 (* b PI)) * [misc]backup-simplify: Simplify (/ 1 (/ -2 (* b PI))) into (* -1/2 (* 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]backup-simplify: Simplify (- (* -1/2 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* b PI))) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* b PI)) -1) into (* -1/2 (* b PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* b 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 (* 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 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [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 (+ (* 2 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 (* b PI)) (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* b PI)) (/ 0 (/ -2 (* b PI)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 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 (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) -1) (+ (* (* -1/2 (* b PI)) (/ (- (/ 1 b)) -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 (+ (* 0 0) (+ (* 1 0) (* 0 PI))) 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 (+ (* -1 0) (* 0 2)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)))) 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 (+ (* 2 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* b PI)) (/ 0 (/ -2 (* b PI)))) (* 0 (/ 0 (/ -2 (* b PI)))))) 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 (- 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* b PI)) (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) 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 (+ (* -1 0) (+ (* 0 0) (* 0 2))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -2) (+ (* (* -1/2 PI) (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ -2 (* b PI)) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (* -1/2 (* b PI)) (/ 0 (/ -2 (* b PI)))) (* 0 (/ 0 (/ -2 (* b PI)))) (* 0 (/ 0 (/ -2 (* b PI)))))) 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 (- 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 (- 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 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1/2 (* b PI)) (/ 0 -1)) (* PI (/ 0 -1)) (* (- (/ PI b)) (/ (- (/ 1 b)) -1)))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 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 (pow b 2) 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 (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* b a))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (expm1 (/ PI (* 2 a))) * [exit]simplify: Simplified to (expm1 (/ PI (* 2 a))) * * * * [misc]progress: [ 2 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (log1p (/ PI (* 2 a))) * [exit]simplify: Simplified to (log1p (/ PI (* 2 a))) * * * * [misc]progress: [ 3 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (/ PI (* 2 a))) * [exit]simplify: Simplified to (log (/ PI (* 2 a))) * * * * [misc]progress: [ 5 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (sqrt (exp (/ PI a))) * [exit]simplify: Simplified to (sqrt (exp (/ PI a))) * * * * [misc]progress: [ 6 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI (* a 2))) (cbrt (/ PI (* a 2)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI (* 2 a))) (cbrt (/ PI (* 2 a)))) * [exit]simplify: Simplified to (* (cbrt (/ PI (* 2 a))) (cbrt (/ PI (* 2 a)))) * [enter]simplify: Simplifying (cbrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (cbrt (/ PI (* 2 a))) * * * * [misc]progress: [ 7 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ PI (* a 2)) (/ PI (* a 2))) (/ PI (* a 2))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (284 enodes) * [exit]simplify: Simplified to (* (/ (/ PI a) (/ 2 PI)) (/ (/ PI a) (* a 4))) * [exit]simplify: Simplified to (* (/ (/ PI a) (/ 2 PI)) (/ (/ PI a) (* a 4))) * * * * [misc]progress: [ 8 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [enter]simplify: Simplifying (sqrt (/ PI (* a 2))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * [exit]simplify: Simplified to (sqrt (/ PI (* 2 a))) * * * * [misc]progress: [ 9 / 105 ] 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 2)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* -2 a) * [exit]simplify: Simplified to (* -2 a) * * * * [misc]progress: [ 10 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* a 2)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (* 2 a)) * [exit]simplify: Simplified to (/ 1 (* 2 a)) * * * * [misc]progress: [ 12 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* a 2) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to (/ a (/ PI 2)) * [exit]simplify: Simplified to (/ a (/ PI 2)) * * * * [misc]progress: [ 13 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI a) * [exit]simplify: Simplified to (/ PI a) * * * * [misc]progress: [ 14 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (expm1 (* PI (/ 1/2 b))) * [exit]simplify: Simplified to (expm1 (* PI (/ 1/2 b))) * * * * [misc]progress: [ 15 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (log1p (* PI (/ 1/2 b))) * [exit]simplify: Simplified to (log1p (* PI (/ 1/2 b))) * * * * [misc]progress: [ 16 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [exit]simplify: Simplified to -1 * * * * [misc]progress: [ 18 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log b)) * [exit]simplify: Simplified to (- (log (/ PI 2)) (log b)) * * * * [misc]progress: [ 20 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (log (/ PI (* b 2))) * [exit]simplify: Simplified to (log (/ PI (* b 2))) * * * * [misc]progress: [ 21 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (pow (exp 1/2) (/ PI b)) * [exit]simplify: Simplified to (pow (exp 1/2) (/ PI b)) * * * * [misc]progress: [ 22 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (/ (* 2 b) PI))) (cbrt (/ 1 (/ (* 2 b) PI)))) * * [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 (43 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (* (cbrt (* PI (/ 1/2 b))) (cbrt (* PI (/ 1/2 b)))) * [exit]simplify: Simplified to (* (cbrt (* PI (/ 1/2 b))) (cbrt (* PI (/ 1/2 b)))) * [enter]simplify: Simplifying (cbrt (/ 1 (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (cbrt (* PI (/ 1/2 b))) * [exit]simplify: Simplified to (cbrt (* PI (/ 1/2 b))) * * * * [misc]progress: [ 23 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ 1 (/ (* 2 b) PI)) (/ 1 (/ (* 2 b) PI))) (/ 1 (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (/ (pow (/ PI b) 3) 8) * [exit]simplify: Simplified to (/ (pow (/ PI b) 3) 8) * * * * [misc]progress: [ 24 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (* PI (/ 1/2 b))) * [exit]simplify: Simplified to (sqrt (* PI (/ 1/2 b))) * [enter]simplify: Simplifying (sqrt (/ 1 (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (sqrt (* PI (/ 1/2 b))) * [exit]simplify: Simplified to (sqrt (* PI (/ 1/2 b))) * * * * [misc]progress: [ 25 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to -1 * [exit]simplify: Simplified to -1 * [enter]simplify: Simplifying (- (/ (* 2 b) PI)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ b (/ PI -2)) * [exit]simplify: Simplified to (/ b (/ PI -2)) * * * * [misc]progress: [ 26 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* 2 b) PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ 1/2 (/ b PI)) * [exit]simplify: Simplified to (/ 1/2 (/ b PI)) * * * * [misc]progress: [ 28 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* 2 b) PI) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ 2 (/ PI b)) * [exit]simplify: Simplified to (/ 2 (/ PI b)) * * * * [misc]progress: [ 29 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (* 2 b) PI)) (cbrt (/ (* 2 b) PI)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) b)) (cbrt (* (/ 2 PI) b)))) * [exit]simplify: Simplified to (/ 1 (* (cbrt (* (/ 2 PI) b)) (cbrt (* (/ 2 PI) b)))) * * * * [misc]progress: [ 30 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 2 (/ PI b)))) * [exit]simplify: Simplified to (/ 1 (sqrt (/ 2 (/ PI b)))) * * * * [misc]progress: [ 31 / 105 ] 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: [ 32 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 2 b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1/2 b) * [exit]simplify: Simplified to (/ 1/2 b) * * * * [misc]progress: [ 33 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* 2 b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1/2 b) * [exit]simplify: Simplified to (/ 1/2 b) * * * * [misc]progress: [ 34 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (* 2 b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (expm1 (* (/ b PI) 2)) * [exit]simplify: Simplified to (expm1 (* (/ b PI) 2)) * * * * [misc]progress: [ 35 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (* 2 b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (log1p (* (/ b PI) 2)) * [exit]simplify: Simplified to (log1p (* (/ b PI) 2)) * * * * [misc]progress: [ 36 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* 2 b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (log (/ 2 (/ PI b))) * [exit]simplify: Simplified to (log (/ 2 (/ PI b))) * * * * [misc]progress: [ 38 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* 2 b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (exp (/ b PI)) (exp (/ b PI))) * [exit]simplify: Simplified to (* (exp (/ b PI)) (exp (/ b PI))) * * * * [misc]progress: [ 39 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* 2 b) PI)) (cbrt (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 PI) b)) (cbrt (* (/ 2 PI) b))) * [exit]simplify: Simplified to (* (cbrt (* (/ 2 PI) b)) (cbrt (* (/ 2 PI) b))) * [enter]simplify: Simplifying (cbrt (/ (* 2 b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cbrt (* (/ b PI) 2)) * [exit]simplify: Simplified to (cbrt (* (/ b PI) 2)) * * * * [misc]progress: [ 40 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* 2 b) PI) (/ (* 2 b) PI)) (/ (* 2 b) PI)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) (/ PI b)) (/ (/ PI b) (* b 2))) * [exit]simplify: Simplified to (/ (/ (/ 4 PI) (/ PI b)) (/ (/ PI b) (* b 2))) * * * * [misc]progress: [ 41 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* 2 b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ b PI) 2)) * [exit]simplify: Simplified to (sqrt (* (/ b PI) 2)) * [enter]simplify: Simplifying (sqrt (/ (* 2 b) PI)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (sqrt (* (/ b PI) 2)) * [exit]simplify: Simplified to (sqrt (* (/ b PI) 2)) * * * * [misc]progress: [ 42 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (* -2 b) * [exit]simplify: Simplified to (* -2 b) * [enter]simplify: Simplifying (- PI) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- PI) * [exit]simplify: Simplified to (- PI) * * * * [misc]progress: [ 43 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 105 ] 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: [ 45 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* 2 b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ PI (* b 2)) * [exit]simplify: Simplified to (/ PI (* b 2)) * * * * [misc]progress: [ 46 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI b) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ PI b) * [exit]simplify: Simplified to (/ PI b) * * * * [misc]progress: [ 47 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (expm1 (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * [exit]simplify: Simplified to (expm1 (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * * * * [misc]progress: [ 48 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (log1p (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * [exit]simplify: Simplified to (log1p (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * * * * [misc]progress: [ 49 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (log (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (- (log (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (log (+ b a))) * [exit]simplify: Simplified to (- (log (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (log (+ b a))) * * * * [misc]progress: [ 51 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * [exit]simplify: Simplified to (log (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * [exit]simplify: Simplified to (log (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * * * * [misc]progress: [ 52 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * [exit]simplify: Simplified to (exp (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * [exit]simplify: Simplified to (exp (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * * * * [misc]progress: [ 53 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (* (* (+ b a) (+ b a)) (+ b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (168 enodes) * [exit]simplify: Simplified to (pow (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)) 3) * * * * [misc]progress: [ 54 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a))) (cbrt (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) (cbrt (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)))) * [exit]simplify: Simplified to (* (cbrt (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) (cbrt (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)))) * [enter]simplify: Simplifying (cbrt (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (cbrt (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * [exit]simplify: Simplified to (cbrt (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * * * * [misc]progress: [ 55 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a)) (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a))) (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (98 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (pow (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)) 3) * [exit]simplify: Simplified to (pow (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)) 3) * * * * [misc]progress: [ 56 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (sqrt (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * [exit]simplify: Simplified to (sqrt (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * [enter]simplify: Simplifying (sqrt (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (sqrt (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * [exit]simplify: Simplified to (sqrt (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a))) * * * * [misc]progress: [ 57 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (fma 1/2 (/ PI b) (/ (* PI -1/2) a)) * [exit]simplify: Simplified to (fma 1/2 (/ PI b) (/ (* PI -1/2) a)) * [enter]simplify: Simplifying (- (+ b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- a) b) * [exit]simplify: Simplified to (- (- a) b) * * * * [misc]progress: [ 58 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ PI (* a 2)) (+ b a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ PI (* (* 2 a) (+ a b))) * [exit]simplify: Simplified to (/ PI (* (* 2 a) (+ a b))) * [enter]simplify: Simplifying (/ (/ 1 (/ (* 2 b) PI)) (+ b a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (/ 1/2 (/ (+ a b) (/ PI b))) * [exit]simplify: Simplified to (/ 1/2 (/ (+ a b) (/ PI b))) * * * * [misc]progress: [ 59 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (cbrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (+ b a))) (/ (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (+ b a)))) * [exit]simplify: Simplified to (* (/ (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (+ b a))) (/ (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (+ b a))) * * * * [misc]progress: [ 60 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (cbrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (210 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a))))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (* (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a))))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (sqrt (+ b a))) * * * * [misc]progress: [ 61 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (cbrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a))))) * [exit]simplify: Simplified to (* (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a))))) * [enter]simplify: Simplifying (/ (cbrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (+ b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (+ b a)) * [exit]simplify: Simplified to (/ (cbrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (+ b a)) * * * * [misc]progress: [ 62 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (cbrt (+ b a))) * * * * [misc]progress: [ 63 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (sqrt (+ b a))) * * * * [misc]progress: [ 64 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) * [exit]simplify: Simplified to (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) * [enter]simplify: Simplifying (/ (sqrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) (+ b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (+ b a)) * [exit]simplify: Simplified to (/ (sqrt (fma (/ -1/2 b) PI (/ PI (* 2 a)))) (+ b a)) * * * * [misc]progress: [ 65 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (cbrt (+ b a))) * * * * [misc]progress: [ 66 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (sqrt (+ b a))) * * * * [misc]progress: [ 67 / 105 ] 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 * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)) * * * * [misc]progress: [ 68 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ 1 (/ (* 2 b) PI)))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ (/ PI b) 2)) (sqrt (/ PI (* 2 a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ (/ PI b) 2)) (sqrt (/ PI (* 2 a)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ 1 (/ (* 2 b) PI)))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (/ b 1/2)))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (/ b 1/2)))) (cbrt (+ a b))) * * * * [misc]progress: [ 69 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ 1 (/ (* 2 b) PI)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* b 2))) (sqrt (/ PI (* 2 a)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (sqrt (/ PI (* b 2))) (sqrt (/ PI (* 2 a)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ 1 (/ (* 2 b) PI)))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (/ b 1/2)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (/ b 1/2)))) (sqrt (+ a b))) * * * * [misc]progress: [ 70 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (sqrt (/ PI (* a 2))) (sqrt (/ 1 (/ (* 2 b) PI)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))) * [exit]simplify: Simplified to (+ (sqrt (/ (/ PI 2) b)) (sqrt (/ PI (* 2 a)))) * [enter]simplify: Simplifying (/ (- (sqrt (/ PI (* a 2))) (sqrt (/ 1 (/ (* 2 b) PI)))) (+ b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* b 2)))) (+ a b)) * [exit]simplify: Simplified to (/ (- (sqrt (/ PI (* 2 a))) (sqrt (/ PI (* b 2)))) (+ a b)) * * * * [misc]progress: [ 71 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (cbrt (+ b a))) * * * * [misc]progress: [ 72 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (sqrt (+ b a))) * * * * [misc]progress: [ 73 / 105 ] 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 * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)) * * * * [misc]progress: [ 74 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ b a))) (cbrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (cbrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (cbrt (+ b a))) * * * * [misc]progress: [ 75 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ b a))) * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (sqrt (+ b a))) * * * * [misc]progress: [ 76 / 105 ] 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 * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (+ b a)) * * * * [misc]progress: [ 77 / 105 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 105 ] 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 (+ b a)) * [exit]simplify: Simplified to (/ 1 (+ b a)) * * * * [misc]progress: [ 79 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (+ a b) (fma (/ -1/2 b) PI (/ PI (* a 2)))) * [exit]simplify: Simplified to (/ (+ a b) (fma (/ -1/2 b) PI (/ PI (* a 2)))) * * * * [misc]progress: [ 80 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (378 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (* (cbrt (+ b a)) (cbrt (+ b a)))) * * * * [misc]progress: [ 81 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (sqrt (+ b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (sqrt (+ b a))) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (sqrt (+ b a))) * * * * [misc]progress: [ 82 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) 1) * * [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 (115 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (354 enodes) * [exit]simplify: Simplified to (fma (/ -1/2 b) PI (/ PI (* 2 a))) * [exit]simplify: Simplified to (fma (/ -1/2 b) PI (/ PI (* 2 a))) * * * * [misc]progress: [ 83 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (cbrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (fma (/ -1/2 b) PI (/ (/ PI a) 2)))) * [exit]simplify: Simplified to (/ (+ a b) (cbrt (fma (/ -1/2 b) PI (/ (/ PI a) 2)))) * * * * [misc]progress: [ 84 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (sqrt (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (fma (/ -1/2 b) PI (/ (/ PI a) 2)))) * [exit]simplify: Simplified to (/ (+ a b) (sqrt (fma (/ -1/2 b) PI (/ (/ PI a) 2)))) * * * * [misc]progress: [ 85 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (+ a b) (fma (/ -1/2 b) PI (/ PI (* a 2)))) * [exit]simplify: Simplified to (/ (+ a b) (fma (/ -1/2 b) PI (/ PI (* a 2)))) * * * * [misc]progress: [ 86 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (sqrt (/ PI (* a 2))) (sqrt (/ 1 (/ (* 2 b) PI))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (+ a b) (- (sqrt (/ (/ PI a) 2)) (sqrt (* (/ PI b) 1/2)))) * [exit]simplify: Simplified to (/ (+ a b) (- (sqrt (/ (/ PI a) 2)) (sqrt (* (/ PI b) 1/2)))) * * * * [misc]progress: [ 87 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (+ a b) (fma (/ -1/2 b) PI (/ PI (* a 2)))) * [exit]simplify: Simplified to (/ (+ a b) (fma (/ -1/2 b) PI (/ PI (* a 2)))) * * * * [misc]progress: [ 88 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ b a) (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (+ a b) (fma (/ -1/2 b) PI (/ PI (* a 2)))) * [exit]simplify: Simplified to (/ (+ a b) (fma (/ -1/2 b) PI (/ PI (* a 2)))) * * * * [misc]progress: [ 89 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (+ (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (268 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (fma a (* a a) (pow b 3))) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (fma a (* a a) (pow b 3))) * * * * [misc]progress: [ 90 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI))) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (204 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (- (* b b) (* a a))) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (- (* b b) (* a a))) * * * * [misc]progress: [ 91 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (* (* a 2) (/ (* 2 b) PI))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (258 enodes) * [exit]simplify: Simplified to (* (/ 4 (/ PI a)) (* b (+ a b))) * [exit]simplify: Simplified to (* (/ 4 (/ PI a)) (* b (+ a b))) * * * * [misc]progress: [ 92 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (+ (* (/ PI (* a 2)) (/ PI (* a 2))) (+ (* (/ 1 (/ (* 2 b) PI)) (/ 1 (/ (* 2 b) PI))) (* (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (201 enodes) * [exit]simplify: Simplified to (fma (* (/ (* PI 1/2) b) (+ a b)) (fma PI (/ 1/2 b) (/ PI (* a 2))) (* (* (+ a b) (/ PI a)) (/ (/ PI a) 4))) * [exit]simplify: Simplified to (fma (* (/ (* PI 1/2) b) (+ a b)) (fma PI (/ 1/2 b) (/ PI (* a 2))) (* (* (+ a b) (/ PI a)) (/ (/ PI a) 4))) * * * * [misc]progress: [ 93 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ b a) (+ (/ PI (* a 2)) (/ 1 (/ (* 2 b) PI)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (263 enodes) * [exit]simplify: Simplified to (* (fma (/ 1/2 b) PI (/ PI (* a 2))) (+ a b)) * [exit]simplify: Simplified to (* (fma (/ 1/2 b) PI (/ PI (* a 2))) (+ a b)) * * * * [misc]progress: [ 94 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* 1/2 (/ PI a)) (/ 1 (/ (* 2 b) PI))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (* 1/2 (- (/ PI a) (/ PI b))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 95 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* 1/2 (/ PI a)) (/ 1 (/ (* 2 b) PI))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (* 1/2 (- (/ PI a) (/ PI b))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 96 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* 1/2 (/ PI a)) (/ 1 (/ (* 2 b) PI))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (* 1/2 (- (/ PI a) (/ PI b))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 97 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* 2 a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 98 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* 2 a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 99 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (* 1/2 (/ PI b))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (420 enodes) * [exit]simplify: Simplified to (/ (fma -1/2 (/ PI b) (/ PI (* 2 a))) (* (- b a) (+ b a))) * * * * [misc]progress: [ 100 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ 1 (* 2 (/ b PI)))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 101 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ 1 (* 2 (/ b PI)))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 102 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (/ PI (* a 2)) (/ 1 (* 2 (/ b PI)))) (+ b a)) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * * [misc]simplify: iters left: 2 (464 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1/2 b) PI (/ PI (* 2 a))) (* (+ b a) (- b a))) * * * * [misc]progress: [ 103 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ 1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 104 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ -1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 105 / 105 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ -1/2 b) (/ (/ PI a) (- b a))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ 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 (* 2 a)) (/ -1/2 b)) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in b * [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 (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (/ 1 (* 2 a)) into (/ 1/2 a) * [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]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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ -1/2 a) into (/ -1/2 a) * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ 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 (* 2 a)) (/ -1/2 b)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1/2 b) into (/ -1/2 b) * [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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ 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 (* 2 a)) (/ -1/2 b)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1/2 b) into (/ -1/2 b) * [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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 b) into 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 1) into PI * [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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 b)) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ 1 b))) b) (+ (* (/ 1/2 b) (/ 1 b)))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 (pow b 2)))) (* 0 (/ 1/2 b))) into (- (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ PI (pow b 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 (pow b 2) 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) into 0 * [misc]backup-simplify: Simplify 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 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1/2 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (/ 1 (pow b 2))) (/ 1 b)))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* PI (/ 1 (pow b 3))) (+ (* 0 (- (/ 1 (pow b 2)))) (* 0 (/ 1/2 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 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 (+ (* 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 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1/2 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (/ 1 (pow b 2))) (/ 0 b)) (* (/ 1 (pow b 3)) (/ 1 b)))) into (- (/ 1 (pow b 4))) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 (pow b 4)))) (+ (* 0 (/ 1 (pow b 3))) (+ (* 0 (- (/ 1 (pow b 2)))) (* 0 (/ 1/2 b))))) into (- (/ PI (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ PI (pow b 4))) in b * [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 (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* (/ 1 b) (/ 1 a))) into (* 1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 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 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in b * [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 (* 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 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 (/ 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 1) into -1/2 * [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 (+ (* 1/2 a) 0) into (* 1/2 a) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 a) 1) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 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 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 b)) 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 (/ 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 (/ -1/2 (/ 1 b)) into (* -1/2 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]backup-simplify: Simplify (+ 0 (* -1/2 b)) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 b)) 1) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 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 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 b)) 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 (/ 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 (/ -1/2 (/ 1 b)) into (* -1/2 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]backup-simplify: Simplify (+ 0 (* -1/2 b)) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 b)) 1) 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 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* (* -1/2 b) (/ (/ 1 b) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 (* -1/2 b))) 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 (+ (* PI 0) (+ (* 0 1) (* 0 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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) 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 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 b) (/ 0 1)) (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 b))) (+ (* 0 1) (* 0 (* -1/2 b)))) 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 (+ (* 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 (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 b) (/ 0 1)) (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* PI (/ 1 (pow b 2))) (+ (* 0 (- (/ 1 b))) (+ (* 0 1) (* 0 (* -1/2 b))))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 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 (pow b 2) 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 (* (- (* 1/2 PI)) (* (/ 1 b) (/ 1 a))) into (* -1/2 (/ PI (* b a))) * [misc]approximate: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 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 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in b * [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 (* 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 (- 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 (/ 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 (/ -1/2 -1) into 1/2 * [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 (+ (* -1/2 a) 0) into (- (* 1/2 a)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 a)) -1) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 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 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- b))) 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 (/ 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 (/ -1/2 (/ -1 b)) into (* 1/2 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]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 (+ 0 (* 1/2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 b) -1) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 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 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- b))) 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 (/ 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 (/ -1/2 (/ -1 b)) into (* 1/2 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]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 (+ 0 (* 1/2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 b) -1) 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 1) (* 0 0)) into PI * [misc]backup-simplify: Simplify (* PI 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) (* 0 0)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [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 (- (/ -1/2 -1) (+ (* (* -1/2 b) (/ (- (/ 1 b)) -1)))) into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 (* -1/2 b))) 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 (+ (* PI 0) (+ (* 0 1) (* 0 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 (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 0 -2)))) 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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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) 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) (+ (* (* -1/2 b) (/ 0 -1)) (* 1 (/ (- (/ 1 b)) -1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 b))) (+ (* 0 1) (* 0 (* -1/2 b)))) 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 (+ (* 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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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) 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 -1) (+ (* (* -1/2 b) (/ 0 -1)) (* 1 (/ 0 -1)) (* (- (/ 1 b)) (/ (- (/ 1 b)) -1)))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* PI (/ 1 (pow b 2))) (+ (* 0 (- (/ 1 b))) (+ (* 0 1) (* 0 (* -1/2 b))))) into (/ PI (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ PI (pow b 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 (pow b 2) 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 (* (- (* 1/2 PI)) (* (/ 1 (- b)) (/ 1 (- a)))) into (* -1/2 (/ PI (* b a))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in b * [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 (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (/ 1 (* 2 a)) into (/ 1/2 a) * [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]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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ -1/2 a) into (/ -1/2 a) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1/2 b) into (/ -1/2 b) * [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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 b) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1/2 b) into (/ -1/2 b) * [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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 b) into 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 (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 b)) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ 1 b))) b) (+ (* (/ 1/2 b) (/ 1 b)))) into (- (/ 1 (pow b 2))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [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 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1/2 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (/ 1 (pow b 2))) (/ 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 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 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1/2 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (/ 1 (pow b 2))) (/ 0 b)) (* (/ 1 (pow b 3)) (/ 1 b)))) into (- (/ 1 (pow b 4))) * [misc]taylor: Taking taylor expansion of (- (/ 1 (pow b 4))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) 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 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))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in b * [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 (* 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 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 (/ 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 1) into -1/2 * [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 (+ (* 1/2 a) 0) into (* 1/2 a) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 a) 1) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 b)) 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 (/ 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 (/ -1/2 (/ 1 b)) into (* -1/2 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]backup-simplify: Simplify (+ 0 (* -1/2 b)) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 b)) 1) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 b)) 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 (/ 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 (/ -1/2 (/ 1 b)) into (* -1/2 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]backup-simplify: Simplify (+ 0 (* -1/2 b)) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 b)) 1) 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 (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* (* -1/2 b) (/ (/ 1 b) 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 (+ (* -1/2 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 (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) 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 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 b) (/ 0 1)) (* 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 (+ (* -1/2 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 (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) 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 (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 b) (/ 0 1)) (* 1 (/ 0 1)) (* (- (/ 1 b)) (/ (/ 1 b) 1)))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) 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 (* -1/2 (* (/ 1 b) (/ 1 a))) into (/ -1/2 (* b a)) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in b * [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 (* 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 (- 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 (/ 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 (/ -1/2 -1) into 1/2 * [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 (+ (* -1/2 a) 0) into (- (* 1/2 a)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 a)) -1) into (* 1/2 a) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- b))) 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 (/ 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 (/ -1/2 (/ -1 b)) into (* 1/2 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]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 (+ 0 (* 1/2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 b) -1) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- b))) 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 (/ 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 (/ -1/2 (/ -1 b)) into (* 1/2 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]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 (+ 0 (* 1/2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 b) -1) 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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [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 (- (/ -1/2 -1) (+ (* (* -1/2 b) (/ (- (/ 1 b)) -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 (+ (* -1/2 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 0 -2)))) 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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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) 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) (+ (* (* -1/2 b) (/ 0 -1)) (* 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 (+ (* -1/2 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 (- 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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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) 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 -1) (+ (* (* -1/2 b) (/ 0 -1)) (* 1 (/ 0 -1)) (* (- (/ 1 b)) (/ (- (/ 1 b)) -1)))) into (/ 1 (pow b 2)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (pow b 2) 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 (* -1/2 (* (/ 1 (- b)) (/ 1 (- a)))) into (/ -1/2 (* b a)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a)) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ 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 (* 2 a)) (/ -1/2 b)) (+ a b)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in b * [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 (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (/ 1 (* 2 a)) into (/ 1/2 a) * [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]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 (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (/ -1/2 a) into (/ -1/2 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 (* PI (/ -1/2 a)) into (* -1/2 (/ PI a)) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (/ (* -1/2 (/ PI a)) (- a)) into (* 1/2 (/ PI (pow a 2))) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a)) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ 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 (* 2 a)) (/ -1/2 b)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1/2 b) into (/ -1/2 b) * [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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 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 (* PI (/ 1/2 b)) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a)) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ 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 (* 2 a)) (/ -1/2 b)) (+ a b)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1/2 b) into (/ -1/2 b) * [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 (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (/ 1/2 b) into (/ 1/2 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 (* PI (/ 1/2 b)) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (/ (* 1/2 (/ PI b)) b) into (* 1/2 (/ PI (pow b 2))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow b 2))) 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 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 (pow b 2) 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 (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 b)) into (- (* 1/2 (/ 1 b))) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (/ 1 b))) b) (+ (* (/ 1/2 b) (/ 1 b)))) into (- (/ 1 (pow b 2))) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 (pow b 2)))) (* 0 (/ 1/2 b))) into (- (/ PI (pow b 2))) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (- (/ PI (pow b 2))) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ -1 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 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 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1/2 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ 1/2 b) (/ 0 b)) (* (- (/ 1 (pow b 2))) (/ 1 b)))) into (/ 1 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* PI (/ 1 (pow b 3))) (+ (* 0 (- (/ 1 (pow b 2)))) (* 0 (/ 1/2 b)))) into (/ PI (pow b 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (/ PI (pow b 3)) b) (+ (* (* 1/2 (/ PI (pow b 2))) (/ 0 b)) (* (- (* 1/2 (/ PI (pow b 3)))) (/ -1 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 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 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 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 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in b * [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 (* 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 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 (/ 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 1) into -1/2 * [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 (+ (* 1/2 a) 0) into (* 1/2 a) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 a) 1) into (* 1/2 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 (* PI (* 1/2 a)) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) 1) into (* 1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 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 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 b)) 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 (/ 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 (/ -1/2 (/ 1 b)) into (* -1/2 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]backup-simplify: Simplify (+ 0 (* -1/2 b)) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 b)) 1) into (* -1/2 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 (* PI (* -1/2 b)) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b)))) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 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 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) (+ (/ 1 a) (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 b)) 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 (/ 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 (/ -1/2 (/ 1 b)) into (* -1/2 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]backup-simplify: Simplify (+ 0 (* -1/2 b)) into (- (* 1/2 b)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 b)) 1) into (* -1/2 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 (* PI (* -1/2 b)) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) -1) 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 (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ 1/2 1) (+ (* (* -1/2 b) (/ (/ 1 b) 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 (* -1/2 b))) into PI * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (- (/ PI -1) (+ (* (* 1/2 (* PI b)) (/ (/ 1 b) -1)))) 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)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) 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 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 b) (/ 0 1)) (* 1 (/ (/ 1 b) 1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 b))) (+ (* 0 1) (* 0 (* -1/2 b)))) into (- (/ PI b)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) 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 (- (/ (- (/ PI b)) -1) (+ (* (* 1/2 (* PI b)) (/ 0 -1)) (* (- (* 1/2 PI)) (/ (/ 1 b) -1)))) 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 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 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 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in b * [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 (* 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 (- 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 (/ 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 (/ -1/2 -1) into 1/2 * [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 (+ (* -1/2 a) 0) into (- (* 1/2 a)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 a)) -1) into (* 1/2 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 (* PI (* 1/2 a)) into (* 1/2 (* PI a)) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* PI a)) -1) into (* -1/2 (* PI a)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 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 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- b))) 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 (/ 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 (/ -1/2 (/ -1 b)) into (* 1/2 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]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 (+ 0 (* 1/2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 b) -1) into (* -1/2 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 (* PI (* -1/2 b)) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) 1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (* PI (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b))))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* PI (/ (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 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 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) (+ (/ 1 (- a)) (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- b))) 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 (/ 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 (/ -1/2 (/ -1 b)) into (* 1/2 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]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 (+ 0 (* 1/2 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (* 1/2 b) -1) into (* -1/2 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 (* PI (* -1/2 b)) into (* -1/2 (* PI b)) * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 (* PI b)) 1) 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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [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 (- (/ -1/2 -1) (+ (* (* -1/2 b) (/ (- (/ 1 b)) -1)))) into 1 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 (* -1/2 b))) 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) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (/ PI 1) (+ (* (* -1/2 (* PI b)) (/ (- (/ 1 b)) 1)))) 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 (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 0 -2)))) 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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) 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) 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) (+ (* (* -1/2 b) (/ 0 -1)) (* 1 (/ (- (/ 1 b)) -1)))) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* PI (- (/ 1 b))) (+ (* 0 1) (* 0 (* -1/2 b)))) 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (/ PI b)) 1) (+ (* (* -1/2 (* PI b)) (/ 0 1)) (* (* 1/2 PI) (/ (- (/ 1 b)) 1)))) 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: [ 4 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in b * [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 (* 2 a) into (* 2 a) * [misc]backup-simplify: Simplify (/ 1 (* 2 a)) into (/ 1/2 a) * [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]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1/2 b) into (/ -1/2 b) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 a)) (/ -1/2 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 a)) in a * [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 (* 2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 b) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ -1/2 b) into (/ -1/2 b) * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ -1/2 b)) into (- (* 1/2 (/ 1 b))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 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 (/ 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 1) into 1/2 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1/2 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1/2 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 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 (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (/ -1/2 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/2 (* 1 (/ 1 a))) (* -1/2 (* (/ 1 b) 1))) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in b * [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 (* 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 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 (/ 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 1) into -1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 b)) 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 (/ 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 (/ -1/2 (/ 1 b)) into (* -1/2 b) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 a))) (/ -1/2 (/ 1 b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 a))) in a * [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 (* 2 1) into 2 * [misc]backup-simplify: Simplify (/ 1 2) into 1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 b)) 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 (/ 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 (/ -1/2 (/ 1 b)) into (* -1/2 b) * [misc]backup-simplify: Simplify (+ 0 (* -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 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [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 -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 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 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1/2 (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* -1/2 b) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* -1/2 (* (/ 1 b) 1)) (* 1/2 (* 1 (/ 1 a)))) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in b * [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 (* 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 (- 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 (/ 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 (/ -1/2 -1) into 1/2 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- b))) 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 (/ 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 (/ -1/2 (/ -1 b)) into (* 1/2 b) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (* 2 (/ 1 (- a)))) (/ -1/2 (/ 1 (- b)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (* 2 (/ 1 (- a)))) in a * [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 (* 2 -1) into -2 * [misc]backup-simplify: Simplify (/ 1 -2) into -1/2 * [misc]taylor: Taking taylor expansion of (/ -1/2 (/ 1 (- b))) 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 (/ 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 (/ -1/2 (/ -1 b)) into (* 1/2 b) * [misc]backup-simplify: Simplify (+ 0 (* 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 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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ -1/2 0) into -1/2 * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 0 -2)))) 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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 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 (+ (* 2 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1/2 (/ 0 -2)) (* 0 (/ 0 -2)))) 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 (/ -1 b)) (+ (* (* 1/2 b) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (+ (* 1/2 (* (/ 1 (- b)) 1)) (* -1/2 (* 1 (/ 1 (- a))))) into (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (expm1 (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * [exit]simplify: Simplified to (expm1 (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * * * * [misc]progress: [ 2 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (log1p (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * [exit]simplify: Simplified to (log1p (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * * * * [misc]progress: [ 3 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (log (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * [exit]simplify: Simplified to (log (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * * * * [misc]progress: [ 5 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (exp (/ (+ (/ 1/2 a) (/ -1/2 b)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (exp (/ (+ (/ 1/2 a) (/ -1/2 b)) (/ (+ a b) PI))) * * * * [misc]progress: [ 6 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) (cbrt (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ 1/2 a) (/ -1/2 b)) (/ (+ a b) PI))) (cbrt (/ (+ (/ 1/2 a) (/ -1/2 b)) (/ (+ a b) PI)))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ 1/2 a) (/ -1/2 b)) (/ (+ a b) PI))) (cbrt (/ (+ (/ 1/2 a) (/ -1/2 b)) (/ (+ a b) PI)))) * [enter]simplify: Simplifying (cbrt (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (cbrt (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * [exit]simplify: Simplified to (cbrt (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * * * * [misc]progress: [ 7 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (282 enodes) * [exit]simplify: Simplified to (pow (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b))) 3) * [exit]simplify: Simplified to (pow (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b))) 3) * * * * [misc]progress: [ 8 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * [exit]simplify: Simplified to (sqrt (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * [enter]simplify: Simplifying (sqrt (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (118 enodes) * [exit]simplify: Simplified to (sqrt (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * [exit]simplify: Simplified to (sqrt (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b)))) * * * * [misc]progress: [ 9 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (* (cbrt (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (cbrt (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * [exit]simplify: Simplified to (* (* PI (cbrt (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)))) (cbrt (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)))) * [exit]simplify: Simplified to (* (* PI (cbrt (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)))) (cbrt (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)))) * * * * [misc]progress: [ 11 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (sqrt (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * [exit]simplify: Simplified to (* PI (sqrt (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)))) * [exit]simplify: Simplified to (* PI (sqrt (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)))) * * * * [misc]progress: [ 12 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (* (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b)))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (* (cbrt (+ (/ 1/2 a) (/ -1/2 b))) (/ PI (cbrt (+ a b)))) (/ (cbrt (+ (/ 1/2 a) (/ -1/2 b))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (* (cbrt (+ (/ 1/2 a) (/ -1/2 b))) (/ PI (cbrt (+ a b)))) (/ (cbrt (+ (/ 1/2 a) (/ -1/2 b))) (cbrt (+ a b)))) * * * * [misc]progress: [ 13 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (* (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b)))) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1/2 a) (/ -1/2 b))) (/ (cbrt (+ (/ 1/2 a) (/ -1/2 b))) (/ (sqrt (+ a b)) PI))) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1/2 a) (/ -1/2 b))) (/ (cbrt (+ (/ 1/2 a) (/ -1/2 b))) (/ (sqrt (+ a b)) PI))) * * * * [misc]progress: [ 14 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (* (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b)))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (* PI (cbrt (+ (/ 1/2 a) (/ -1/2 b)))) (cbrt (+ (/ 1/2 a) (/ -1/2 b)))) * [exit]simplify: Simplified to (* (* PI (cbrt (+ (/ 1/2 a) (/ -1/2 b)))) (cbrt (+ (/ 1/2 a) (/ -1/2 b)))) * * * * [misc]progress: [ 15 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (* (cbrt (+ a b)) (cbrt (+ a b))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ (/ 1/2 a) (/ -1/2 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) PI) * [exit]simplify: Simplified to (* (/ (sqrt (+ (/ 1/2 a) (/ -1/2 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) PI) * * * * [misc]progress: [ 16 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ 1/2 a) (/ -1/2 b))) (/ (sqrt (+ a b)) PI)) * [exit]simplify: Simplified to (/ (sqrt (+ (/ 1/2 a) (/ -1/2 b))) (/ (sqrt (+ a b)) PI)) * * * * [misc]progress: [ 17 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* PI (sqrt (+ (/ 1/2 a) (/ -1/2 b)))) * [exit]simplify: Simplified to (* PI (sqrt (+ (/ 1/2 a) (/ -1/2 b)))) * * * * [misc]progress: [ 18 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) * * * * [misc]progress: [ 19 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * * * * [misc]progress: [ 20 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 21 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) * * * * [misc]progress: [ 22 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * * * * [misc]progress: [ 23 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 24 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) * [exit]simplify: Simplified to (/ (/ PI (cbrt (+ b a))) (cbrt (+ b a))) * * * * [misc]progress: [ 25 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 (sqrt (+ a b)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * [exit]simplify: Simplified to (/ PI (sqrt (+ b a))) * * * * [misc]progress: [ 26 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to PI * [exit]simplify: Simplified to PI * * * * [misc]progress: [ 27 / 130 ] 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 * * * * [misc]progress: [ 28 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (+ (/ 1/2 a) (/ -1/2 b)) PI) * [exit]simplify: Simplified to (* (+ (/ 1/2 a) (/ -1/2 b)) PI) * * * * [misc]progress: [ 29 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ (pow a 3) (pow b 3)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (/ (+ (/ 1/2 a) (/ -1/2 b)) (fma (* a a) a (pow b 3))) PI) * [exit]simplify: Simplified to (* (/ (+ (/ 1/2 a) (/ -1/2 b)) (fma (* a a) a (pow b 3))) PI) * * * * [misc]progress: [ 30 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (- (* a a) (* b b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * * [misc]simplify: iters left: 1 (411 enodes) * [exit]simplify: Simplified to (* (/ PI (- a b)) (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b))) * [exit]simplify: Simplified to (* (/ PI (- a b)) (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b))) * * * * [misc]progress: [ 31 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* PI (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (+ (/ 1/2 a) (/ -1/2 b)) PI) * [exit]simplify: Simplified to (* (+ (/ 1/2 a) (/ -1/2 b)) PI) * * * * [misc]progress: [ 32 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (expm1 (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * [exit]simplify: Simplified to (expm1 (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * * * * [misc]progress: [ 34 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (log1p (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * [exit]simplify: Simplified to (log1p (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * * * * [misc]progress: [ 35 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ (/ 1 (* 2 a)) (/ -1/2 b))) (log (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (- (log (+ (/ -1/2 b) (/ 1/2 a))) (log (+ a b))) * [exit]simplify: Simplified to (- (log (+ (/ -1/2 b) (/ 1/2 a))) (log (+ a b))) * * * * [misc]progress: [ 37 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (log (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * [exit]simplify: Simplified to (log (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * * * * [misc]progress: [ 38 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (exp (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * [exit]simplify: Simplified to (exp (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * * * * [misc]progress: [ 39 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ (/ 1 (* 2 a)) (/ -1/2 b))) (+ (/ 1 (* 2 a)) (/ -1/2 b))) (* (* (+ a b) (+ a b)) (+ a b))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (56 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (pow (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) 3) * * * * [misc]progress: [ 40 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (cbrt (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) (cbrt (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)))) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) (cbrt (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)))) * [enter]simplify: Simplifying (cbrt (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * [exit]simplify: Simplified to (cbrt (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * * * * [misc]progress: [ 41 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * [exit]simplify: Simplified to (pow (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) 3) * [exit]simplify: Simplified to (pow (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) 3) * * * * [misc]progress: [ 42 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * [enter]simplify: Simplifying (sqrt (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * [exit]simplify: Simplified to (sqrt (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b))) * * * * [misc]progress: [ 43 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (- (/ -1/2 a) (/ -1/2 b)) * [exit]simplify: Simplified to (- (/ -1/2 a) (/ -1/2 b)) * [enter]simplify: Simplifying (- (+ a b)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (- b) a) * [exit]simplify: Simplified to (- (- b) a) * * * * [misc]progress: [ 44 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b)))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ a b))) (/ (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ a b)))) * [exit]simplify: Simplified to (* (/ (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ a b))) (/ (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ a b))) * * * * [misc]progress: [ 45 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b)))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ (/ -1/2 b) (/ 1/2 a)))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (* (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ (/ -1/2 b) (/ 1/2 a)))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (sqrt (+ a b))) * * * * [misc]progress: [ 46 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ (/ -1/2 b) (/ 1/2 a)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ (/ -1/2 b) (/ 1/2 a)))) * [enter]simplify: Simplifying (/ (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (+ a b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (+ a b)) * [exit]simplify: Simplified to (/ (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (+ a b)) * * * * [misc]progress: [ 47 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ -1/2 b) (/ 1/2 a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [exit]simplify: Simplified to (/ (sqrt (+ (/ -1/2 b) (/ 1/2 a))) (* (cbrt (+ a b)) (cbrt (+ a b)))) * [enter]simplify: Simplifying (/ (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ a b))) * * * * [misc]progress: [ 48 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ -1/2 b) (/ 1/2 a))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (+ (/ -1/2 b) (/ 1/2 a))) (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ -1/2 b) (/ 1/2 a))) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (sqrt (+ (/ -1/2 b) (/ 1/2 a))) (sqrt (+ a b))) * * * * [misc]progress: [ 49 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (sqrt (+ (/ -1/2 b) (/ 1/2 a))) * [enter]simplify: Simplifying (/ (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (+ a b)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ -1/2 b) (/ 1/2 a))) (+ a b)) * [exit]simplify: Simplified to (/ (sqrt (+ (/ -1/2 b) (/ 1/2 a))) (+ a b)) * * * * [misc]progress: [ 50 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (cbrt (+ a b))) * * * * [misc]progress: [ 51 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (sqrt (+ a b))) * * * * [misc]progress: [ 52 / 130 ] 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 * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) * * * * [misc]progress: [ 53 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (cbrt (+ a b))) * * * * [misc]progress: [ 54 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (sqrt (+ a b))) * * * * [misc]progress: [ 55 / 130 ] 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 * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) * * * * [misc]progress: [ 56 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ a b))) (cbrt (+ a b))) * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (cbrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (cbrt (+ a b))) * * * * [misc]progress: [ 57 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ a b))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [exit]simplify: Simplified to (/ 1 (sqrt (+ a b))) * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (sqrt (+ a b))) * * * * [misc]progress: [ 58 / 130 ] 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 * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) * * * * [misc]progress: [ 59 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 130 ] 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 (+ a b)) * [exit]simplify: Simplified to (/ 1 (+ a b)) * * * * [misc]progress: [ 61 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ b a) (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (/ (+ b a) (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 62 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (* (cbrt (+ a b)) (cbrt (+ a b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * [exit]simplify: Simplified to (/ (/ (+ (/ -1/2 b) (/ 1/2 a)) (cbrt (+ a b))) (cbrt (+ a b))) * [exit]simplify: Simplified to (/ (/ (+ (/ -1/2 b) (/ 1/2 a)) (cbrt (+ a b))) (cbrt (+ a b))) * * * * [misc]progress: [ 63 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (sqrt (+ a b))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (sqrt (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (sqrt (+ a b))) * * * * [misc]progress: [ 64 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (+ (/ -1/2 b) (/ 1/2 a)) * [exit]simplify: Simplified to (+ (/ -1/2 b) (/ 1/2 a)) * * * * [misc]progress: [ 65 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (+ (/ -1/2 b) (/ 1/2 a)))) * [exit]simplify: Simplified to (/ (+ b a) (cbrt (+ (/ -1/2 b) (/ 1/2 a)))) * * * * [misc]progress: [ 66 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (+ (/ -1/2 b) (/ 1/2 a)))) * [exit]simplify: Simplified to (/ (+ b a) (sqrt (+ (/ -1/2 b) (/ 1/2 a)))) * * * * [misc]progress: [ 67 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ b a) (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (/ (+ b a) (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 68 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ b a) (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (/ (+ b a) (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 69 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ a b) (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (+ b a) (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (/ (+ b a) (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 70 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (fma a (* a a) (pow b 3))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (fma a (* a a) (pow b 3))) * * * * [misc]progress: [ 71 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (- (* a a) (* b b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (176 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (* (+ a b) (- a b))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (* (+ a b) (- a b))) * * * * [misc]progress: [ 72 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a b) (* (* 2 a) b)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (* (* 2 b) (* a (+ b a))) * [exit]simplify: Simplified to (* (* 2 b) (* a (+ b a))) * * * * [misc]progress: [ 73 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a b) (+ (* (/ 1 (* 2 a)) (/ 1 (* 2 a))) (- (* (/ -1/2 b) (/ -1/2 b)) (* (/ 1 (* 2 a)) (/ -1/2 b))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (171 enodes) * [exit]simplify: Simplified to (* (fma (/ -1/2 b) (- (/ -1/2 b) (/ 1/2 a)) (* (/ 1/2 a) (/ 1/2 a))) (+ b a)) * [exit]simplify: Simplified to (* (fma (/ -1/2 b) (- (/ -1/2 b) (/ 1/2 a)) (* (/ 1/2 a) (/ 1/2 a))) (+ b a)) * * * * [misc]progress: [ 74 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ a b) (- (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (* (+ (/ 1/2 b) (/ 1/2 a)) (+ b a)) * [exit]simplify: Simplified to (* (+ (/ 1/2 b) (/ 1/2 a)) (+ b a)) * * * * [misc]progress: [ 75 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (expm1 (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b))))) * [exit]simplify: Simplified to (expm1 (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b))))) * * * * [misc]progress: [ 76 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (log1p (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b))))) * [exit]simplify: Simplified to (log1p (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b))))) * * * * [misc]progress: [ 77 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) (log (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * * [misc]simplify: iters left: 1 (333 enodes) * [exit]simplify: Simplified to (- (log (/ (+ (/ 1/2 a) (/ -1/2 b)) (/ (+ a b) PI))) (log (- b a))) * [exit]simplify: Simplified to (- (log (/ (+ (/ 1/2 a) (/ -1/2 b)) (/ (+ a b) PI))) (log (- b a))) * * * * [misc]progress: [ 79 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (147 enodes) * * [misc]simplify: iters left: 2 (333 enodes) * [exit]simplify: Simplified to (log (/ (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)) (/ (- b a) PI))) * [exit]simplify: Simplified to (log (/ (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)) (/ (- b a) PI))) * * * * [misc]progress: [ 80 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (pow (exp (/ PI (- b a))) (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b))) * [exit]simplify: Simplified to (pow (exp (/ PI (- b a))) (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b))) * * * * [misc]progress: [ 81 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) (* (* (- b a) (- b a)) (- b a))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * [exit]simplify: Simplified to (pow (* (/ (+ (/ 1/2 a) (/ -1/2 b)) (- b a)) (/ PI (+ a b))) 3) * [exit]simplify: Simplified to (pow (* (/ (+ (/ 1/2 a) (/ -1/2 b)) (- b a)) (/ PI (+ a b))) 3) * * * * [misc]progress: [ 82 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a))) (cbrt (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (* (cbrt (* (/ PI (- b a)) (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)))) (cbrt (* (/ PI (- b a)) (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b))))) * [exit]simplify: Simplified to (* (cbrt (* (/ PI (- b a)) (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)))) (cbrt (* (/ PI (- b a)) (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b))))) * [enter]simplify: Simplifying (cbrt (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b))))) * [exit]simplify: Simplified to (cbrt (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b))))) * * * * [misc]progress: [ 83 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a)) (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a))) (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (420 enodes) * [exit]simplify: Simplified to (pow (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b)))) 3) * [exit]simplify: Simplified to (pow (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b)))) 3) * * * * [misc]progress: [ 84 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b))))) * [exit]simplify: Simplified to (sqrt (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b))))) * [enter]simplify: Simplifying (sqrt (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (456 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b))))) * [exit]simplify: Simplified to (sqrt (/ (/ PI (+ a b)) (/ (- b a) (+ (/ 1/2 a) (/ -1/2 b))))) * * * * [misc]progress: [ 85 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (* (- (/ 1/2 b) (/ 1/2 a)) (/ PI (+ a b))) * [exit]simplify: Simplified to (* (- (/ 1/2 b) (/ 1/2 a)) (/ PI (+ a b))) * [enter]simplify: Simplifying (- (- b a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- a b) * [exit]simplify: Simplified to (- a b) * * * * [misc]progress: [ 86 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [exit]simplify: Simplified to (/ PI (* (cbrt (- b a)) (cbrt (- b a)))) * [enter]simplify: Simplifying (/ (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) (cbrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) (cbrt (- b a))) * [exit]simplify: Simplified to (/ (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) (cbrt (- b a))) * * * * [misc]progress: [ 87 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ PI (sqrt (- b a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [exit]simplify: Simplified to (/ PI (sqrt (- b a))) * [enter]simplify: Simplifying (/ (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) (sqrt (- b a))) * [exit]simplify: Simplified to (/ (/ (+ (/ -1/2 b) (/ 1/2 a)) (+ a b)) (sqrt (- b a))) * * * * [misc]progress: [ 88 / 130 ] 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 (/ (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)) (- b a)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (* (- b a) (+ a b))) * [exit]simplify: Simplified to (/ (+ (/ -1/2 b) (/ 1/2 a)) (* (- b a) (+ a b))) * * * * [misc]progress: [ 89 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- b a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- b a)) * [exit]simplify: Simplified to (/ 1 (- b a)) * * * * [misc]progress: [ 91 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (412 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (/ (+ a b) PI)) (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (/ (* (- b a) (/ (+ a b) PI)) (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 92 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (* (cbrt (- b a)) (cbrt (- b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (151 enodes) * * [misc]simplify: iters left: 2 (302 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (/ (/ (+ (/ 1/2 a) (/ -1/2 b)) (cbrt (- b a))) (* (cbrt (- b a)) (/ (+ a b) PI))) * [exit]simplify: Simplified to (/ (/ (+ (/ 1/2 a) (/ -1/2 b)) (cbrt (- b a))) (* (cbrt (- b a)) (/ (+ a b) PI))) * * * * [misc]progress: [ 93 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (sqrt (- b a))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (256 enodes) * [exit]simplify: Simplified to (* (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)) (/ PI (sqrt (- b a)))) * [exit]simplify: Simplified to (* (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)) (/ PI (sqrt (- b a)))) * * * * [misc]progress: [ 94 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b))) * [exit]simplify: Simplified to (* (/ PI (+ a b)) (+ (/ 1/2 a) (/ -1/2 b))) * * * * [misc]progress: [ 95 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- b a) (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (/ (* (- b a) (+ a b)) (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 96 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (288 enodes) * [exit]simplify: Simplified to (/ (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)) (- (/ (* b b) (/ PI b)) (/ (* a a) (/ PI a)))) * [exit]simplify: Simplified to (/ (/ (+ (/ 1/2 a) (/ -1/2 b)) (+ a b)) (- (/ (* b b) (/ PI b)) (/ (* a a) (/ PI a)))) * * * * [misc]progress: [ 97 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ a b))) (- (* b b) (* a a))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (391 enodes) * [exit]simplify: Simplified to (* (/ (/ PI (+ a b)) (+ a b)) (/ (+ (/ 1/2 a) (/ -1/2 b)) (- b a))) * [exit]simplify: Simplified to (* (/ (/ PI (+ a b)) (+ a b)) (/ (+ (/ 1/2 a) (/ -1/2 b)) (- b a))) * * * * [misc]progress: [ 98 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- b a) (+ a b)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * [exit]simplify: Simplified to (* (- b a) (+ a b)) * * * * [misc]progress: [ 99 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (expm1 (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (expm1 (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 100 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (log1p (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (log1p (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 101 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ 1 (* 2 a))) (exp (/ -1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (exp (+ (/ 1/2 a) (/ -1/2 b))) * [exit]simplify: Simplified to (exp (+ (/ 1/2 a) (/ -1/2 b))) * * * * [misc]progress: [ 106 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (log (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (log (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 108 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (exp (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (exp (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 109 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ (/ -1/2 b) (/ 1/2 a)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ -1/2 b) (/ 1/2 a))) (cbrt (+ (/ -1/2 b) (/ 1/2 a)))) * [enter]simplify: Simplifying (cbrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (cbrt (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (cbrt (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 110 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ 1 (* 2 a)) (/ -1/2 b)) (+ (/ 1 (* 2 a)) (/ -1/2 b))) (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (443 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1/2 a) (/ -1/2 b)) 3) * [exit]simplify: Simplified to (pow (+ (/ 1/2 a) (/ -1/2 b)) 3) * * * * [misc]progress: [ 111 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (sqrt (+ (/ -1/2 b) (/ 1/2 a))) * [enter]simplify: Simplifying (sqrt (+ (/ 1 (* 2 a)) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ -1/2 b) (/ 1/2 a))) * [exit]simplify: Simplified to (sqrt (+ (/ -1/2 b) (/ 1/2 a))) * * * * [misc]progress: [ 112 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 b) (* (* 2 a) -1/2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- b a) * [exit]simplify: Simplified to (- b a) * [enter]simplify: Simplifying (* (* 2 a) b) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (* b a) 2) * [exit]simplify: Simplified to (* (* b a) 2) * * * * [misc]progress: [ 113 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1 (* 2 a)) 3) (pow (/ -1/2 b) 3)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (457 enodes) * [exit]simplify: Simplified to (fma (* (/ -1/2 b) (/ -1/2 b)) (/ -1/2 b) (/ (/ 1/8 a) (* a a))) * [exit]simplify: Simplified to (fma (* (/ -1/2 b) (/ -1/2 b)) (/ -1/2 b) (/ (/ 1/8 a) (* a a))) * [enter]simplify: Simplifying (+ (* (/ 1 (* 2 a)) (/ 1 (* 2 a))) (- (* (/ -1/2 b) (/ -1/2 b)) (* (/ 1 (* 2 a)) (/ -1/2 b)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (290 enodes) * [exit]simplify: Simplified to (fma (/ -1/2 b) (- (/ -1/2 b) (/ 1/2 a)) (* (/ 1/2 a) (/ 1/2 a))) * [exit]simplify: Simplified to (fma (/ -1/2 b) (- (/ -1/2 b) (/ 1/2 a)) (* (/ 1/2 a) (/ 1/2 a))) * * * * [misc]progress: [ 114 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 (* 2 a)) (/ 1 (* 2 a))) (* (/ -1/2 b) (/ -1/2 b))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (154 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (fma (/ 1/2 a) (/ 1/2 a) (/ (/ -1/4 b) b)) * [exit]simplify: Simplified to (fma (/ 1/2 a) (/ 1/2 a) (/ (/ -1/4 b) b)) * [enter]simplify: Simplifying (- (/ 1 (* 2 a)) (/ -1/2 b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (+ (/ 1/2 b) (/ 1/2 a)) * [exit]simplify: Simplified to (+ (/ 1/2 b) (/ 1/2 a)) * * * * [misc]progress: [ 116 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (* 2 a)) (/ -1/2 b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (/ -1/2 b) (/ 1/2 a)) * [exit]simplify: Simplified to (+ (/ -1/2 b) (/ 1/2 a)) * * * * [misc]progress: [ 117 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (* 2 a)) (/ -1/2 b)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (+ (/ -1/2 b) (/ 1/2 a)) * [exit]simplify: Simplified to (+ (/ -1/2 b) (/ 1/2 a)) * * * * [misc]progress: [ 118 / 130 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* 1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ 1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 120 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ -1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 121 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* -1/2 (/ PI (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ -1/2 b) (/ (/ PI a) (- b a))) * * * * [misc]progress: [ 122 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ 1/2 (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ PI b) (/ (/ 1/2 a) (- b a))) * * * * [misc]progress: [ 123 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ -1/2 (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ PI b) (/ (/ -1/2 a) (- b a))) * * * * [misc]progress: [ 124 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ -1/2 (* b a))) (- b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (* (/ PI b) (/ (/ -1/2 a) (- b a))) * * * * [misc]progress: [ 125 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 126 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 127 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * * * * [misc]progress: [ 128 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (+ b a)) (/ (- b a) PI)) * * * * [misc]progress: [ 129 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (+ b a)) (/ (- b a) PI)) * * * * [misc]progress: [ 130 / 130 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* PI (/ (- (* 1/2 (/ 1 a)) (* 1/2 (/ 1 b))) (+ a b))) (- b a)) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (248 enodes) * [exit]simplify: Simplified to (/ (/ (- (/ 1/2 a) (/ 1/2 b)) (+ b a)) (/ (- b a) PI)) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* (* (/ PI 2) (/ 1 (- (* b b) (* a a)))) (- (/ 1 a) (/ 1 b))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (/ (* 2 b) PI) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ (* b 2) PI) * [exit]simplify: Simplified to (/ (* b 2) PI)