* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 150 additional inputs, on iter 1 have 106 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 83 additional inputs, on iter 2 have 173 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 49 additional inputs, on iter 3 have 207 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 27 additional inputs, on iter 4 have 229 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 5 have 239 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 6 have 248 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 7 have 251 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 254 / 256 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [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 (361 enodes) * [exit]simplify: Simplified to (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ a b) (- 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 1 3) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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: [ 2 / 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 (* a 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* a 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 (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) 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 (* a PI)) (/ 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 (+ (* 0 0) (* 1 PI)) 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 (* a PI)) (/ 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 (+ (* 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)) (* 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 (* a PI)) (/ 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 (* a 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* a PI))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (* a 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 (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) 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 (* a PI)) (/ 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 (+ (* 0 0) (* 1 PI)) 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 (* a PI)) (/ 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 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 (- 0) into 0 * [misc]backup-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 (* a PI)) (/ 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: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ a b) (- b a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ a b) (- 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 (* (+ a b) (- b a)) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- 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 (+ 0 b) 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)) (* (+ a b) (- 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 (* (+ a b) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 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 (+ a 0) 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)) (* (+ a b) (- 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 (* (+ a b) (- b a)) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- 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 (+ a 0) 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]taylor: Taking 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) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -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 (+ 0 1) 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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 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]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 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 a) (/ 1 b)) (- (/ 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 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (- (/ 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 (* b PI)) * [misc]backup-simplify: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (+ 1 0) 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 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 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 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (/ 1 a) (/ 1 b)) (- (/ 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (- (/ 1 b) (/ 1 a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 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 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* a 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 (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 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 (* (* 1/2 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 (* a PI)) (/ 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 (+ (/ 1 a) 0) 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 (* a PI)) (/ 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 (+ (* 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)))) 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 (* a PI)) (/ 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 a) (/ 0 a)))) 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 (+ (* 1 0) (+ (* (/ 1 a) (- (/ 1 a))) (* 0 1))) into (- (/ 1 (pow a 2))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ (- (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 (- a)) (/ 1 (- b))) (- (/ 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 (- a)) (/ 1 (- b))) (- (/ 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 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (- (/ 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 (* b PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* b PI)) 0) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ -1 0) 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 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 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 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (- (/ 1 (- b)) (/ 1 (- a)))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 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 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* a 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 (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 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 (* (* 1/2 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 (* a PI)) (/ 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 (+ (/ -1 a) 0) 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 (* a PI)) (/ 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 (+ (* 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 (- (+ (* -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 (* a PI)) (/ 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 (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (* a PI)) (/ (- (/ 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 3 1) to (λ (a b) (/ (fma (/ PI 2) (/ -1 b) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ a (cbrt (/ PI 2))))) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 3 1) to (λ (a b) (/ (fma (/ PI 2) (/ -1 b) (/ (sqrt (/ PI 2)) (/ a (sqrt (/ PI 2))))) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ (log (+ a b)) (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 (69 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) (+ (log (- b a)) (log (+ a b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ PI (* a 2)) (/ (/ PI b) 2))) (+ (log (- b a)) (log (+ a b)))))) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (log (* (+ a b) (- 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 (369 enodes) * [exit]simplify: Simplified to (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (* (+ a b) (- b a)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (log (- (/ PI (* a 2)) (/ PI (* 2 b)))) (log (* (+ a b) (- b a)))))) * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 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))) (* (* (* (+ a b) (+ a b)) (+ a b)) (* (* (- 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 (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2))) (/ (* (pow (+ a b) 3) (pow (- b a) 3)) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (/ (* (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2))) (/ (* (pow (+ a b) 3) (pow (- b a) 3)) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)))))) * * * * [misc]progress: [ 36 / 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))) (* (* (* (+ a b) (- b a)) (* (+ a b) (- b a))) (* (+ a b) (- 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 (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (+ a b) (- b a))) 3) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (pow (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (+ a b) (- b a))) 3))) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ a b)) * * [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 (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (+ a b) (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (/ (+ a b) (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a)))) * [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 (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ a b)) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (- b a)))) * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) * * [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 (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (+ a b)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (+ a b)) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- 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 (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (- b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ a b)) (/ (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (- b a)))) * * * * [misc]progress: [ 43 / 67 ] 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)) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (+ a b)) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- 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)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ 1 (+ a b)) (/ (- (/ PI (* a 2)) (/ PI (* 2 b))) (- b a)))) * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- b a) * [misc]simplify: Simplified (2 2) to (λ (a b) (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ a b)) (- b a))) * * * * [misc]progress: [ 48 / 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 b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (+ a b) (- b a)) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))))) * * * * [misc]progress: [ 49 / 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 (* 2 b)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (/ (* (+ a b) (- b a)) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))))) * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (- (* b b) (* a b))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* a a) (- (* b b) (* a b))) (+ b a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (* (+ a b) (fma b (- b a) (* a a))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (* b b) (* a a)))) (* (+ a b) (fma b (- b a) (* a a))))) * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- a b) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (262 enodes) * [exit]simplify: Simplified to (* (fma a (+ b a) (* b b)) (- a b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* a a) (* b b)) (- (pow b 3) (pow a 3)))) (* (fma a (+ b a) (* b b)) (- a b)))) * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- a b) (+ 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 (* (- a b) (+ b a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* a a) (* b b)) (- (* b b) (* a a)))) (* (- a b) (+ b a)))) * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* b b) (+ (* a a) (* b a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fma (+ b a) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ a b) (- (pow b 3) (pow a 3)))) (fma (+ b a) a (* b b)))) * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ b a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ a b) (- (* b b) (* a a)))) (+ a b))) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* a a) (- (* b b) (* a b))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (- a b) a (* b b)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- b a))) (fma (- a b) a (* b b)))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- a b) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (- a b) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* a a) (* b b)) (- b a))) (- a b))) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 1 3) to (λ (a b) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 1 3) to (λ (a b) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 1 3) to (λ (a b) (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (/ PI a) (/ PI b)) 1/2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ PI a) (/ PI b)) 1/2) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (/ PI a) (/ PI b)) 1/2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ PI a) (/ PI b)) 1/2) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/2 (/ PI a)) (* 1/2 (/ PI b))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (- (/ PI a) (/ PI b)) 1/2) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (- (/ PI a) (/ PI b)) 1/2) (* (+ a b) (- b a)))) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * [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: generating series expansions * * * [misc]progress: simplifying candidates * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 3) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) in a * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) 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 (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 3) (pow b 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [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 (pow b 3) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- (pow b 3) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow b 3) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking 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 b) into (pow b 2) * [misc]backup-simplify: Simplify (* b (pow b 2)) into (pow b 3) * [misc]backup-simplify: Simplify (+ 0 (pow b 3)) into (pow b 3) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* b (pow b 2)) into (pow b 3) * [misc]backup-simplify: Simplify (+ (pow b 3) 0) into (pow b 3) * [misc]backup-simplify: Simplify (* (pow b 3) (pow b 3)) into (pow b 6) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 6)) into (* 1/2 (/ PI (pow b 6))) * [misc]taylor: Taking taylor expansion of (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) in a * [misc]taylor: Taking taylor expansion of (fma (+ a b) a (* b b)) in a * [misc]taylor: Rewrote expression to (+ (* (+ a b) a) (* b b)) * [misc]taylor: Taking taylor expansion of (* (+ a b) a) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (fma (- b a) b (* a a)) in a * [misc]taylor: Rewrote expression to (+ (* (- b a) b) (* a a)) * [misc]taylor: Taking taylor expansion of (* (- b a) b) 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 in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) in b * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) 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 (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 3) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [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 (- (pow b 3) (pow a 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [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 (pow a 3) in b * [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 (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (+ (pow a 3) 0) into (pow a 3) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (- (pow a 3)) into (- (pow a 3)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 3))) into (- (pow a 3)) * [misc]backup-simplify: Simplify (* (pow a 3) (- (pow a 3))) into (* -1 (pow a 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 6))) into (* 1/2 (/ PI (pow a 6))) * [misc]taylor: Taking taylor expansion of (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) in b * [misc]taylor: Taking taylor expansion of (fma (+ a b) a (* b b)) in b * [misc]taylor: Rewrote expression to (+ (* (+ a b) a) (* b b)) * [misc]taylor: Taking taylor expansion of (* (+ a b) a) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (- b a) b (* a a)) in b * [misc]taylor: Rewrote expression to (+ (* (- b a) b) (* a a)) * [misc]taylor: Taking taylor expansion of (* (- b a) b) 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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) in b * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) 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 (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 3) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [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 (- (pow b 3) (pow a 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [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 (pow a 3) in b * [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 (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (+ (pow a 3) 0) into (pow a 3) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (- (pow a 3)) into (- (pow a 3)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 3))) into (- (pow a 3)) * [misc]backup-simplify: Simplify (* (pow a 3) (- (pow a 3))) into (* -1 (pow a 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 6))) into (* 1/2 (/ PI (pow a 6))) * [misc]taylor: Taking taylor expansion of (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) in b * [misc]taylor: Taking taylor expansion of (fma (+ a b) a (* b b)) in b * [misc]taylor: Rewrote expression to (+ (* (+ a b) a) (* b b)) * [misc]taylor: Taking taylor expansion of (* (+ a b) a) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (- b a) b (* a a)) in b * [misc]taylor: Rewrote expression to (+ (* (- b a) b) (* a a)) * [misc]taylor: Taking taylor expansion of (* (- b a) b) 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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow a 2) 0) into (pow a 2) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* (- a) 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (+ 0 (pow a 2)) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (* (* 1/2 (/ PI (pow a 6))) (pow a 4)) 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]taylor: Taking 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) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) 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) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- a) 1) (* 1 0)) into (- a) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (- a) 0) into (- a) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ (* (pow a 2) (- a)) (* a (pow a 2))) 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 (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 3) 0) (* 0 (- (pow a 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI a)) (* -1 (pow a 6))) (+ (* (* 1/2 (/ PI (pow a 6))) (/ 0 (* -1 (pow a 6)))))) into (- (* 1/2 (/ PI (pow a 7)))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI (pow a 6))) 0) (* (- (* 1/2 (/ PI (pow a 7)))) (pow a 4))) 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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 1) (+ (* a (- a)) (* 1 (pow a 2)))) into (pow a 2) * [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 (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 3) 0) (+ (* 0 0) (* 0 (- (pow a 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (pow a 6))) (+ (* (* 1/2 (/ PI (pow a 6))) (/ 0 (* -1 (pow a 6)))) (* (- (* 1/2 (/ PI (pow a 7)))) (/ 0 (* -1 (pow a 6)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ PI (pow a 6))) (pow a 2)) (+ (* (- (* 1/2 (/ PI (pow a 7)))) 0) (* 0 (pow a 4)))) 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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 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]approximate: Taking taylor expansion of (* (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) 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 (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) 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 (pow (/ 1 b) 3) 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 (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 3) 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 (pow (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 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 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) 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) 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) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (* (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) 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 (pow (/ 1 b) 3) 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 (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 3) 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 (pow (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) 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) in b * [misc]taylor: Taking 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) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 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 (* (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) 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 (pow (/ 1 b) 3) 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 (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 3) 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 (pow (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) 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) in b * [misc]taylor: Taking 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) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* a 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 (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 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 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 a)) 1)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (- (/ 1 a)) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) 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 (* a PI)) (/ 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* a PI)) 0) (* (- (* 1/2 PI)) 1)) into (- (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (- (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of (* 1/2 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 (+ (* 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 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 a)) 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 a) (/ 1 a))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow a 2))) (+ (* (/ 1 a) (- (/ 1 a))) (* (/ 1 (pow a 2)) 1))) into (/ 1 (pow a 2)) * [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 (* a PI)) (/ 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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* a PI)) (/ 1 (pow a 2))) (+ (* (- (* 1/2 PI)) 0) (* 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) 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)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) 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 (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) 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 (pow (/ 1 (- b)) 3) 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 (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 3) 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 (pow (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) b) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* b PI)) 0) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 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 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) 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)) 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)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (* (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) 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 (pow (/ 1 (- b)) 3) 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 (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 3) 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 (pow (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) 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)) 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)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 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 (* (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) 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 (pow (/ 1 (- b)) 3) 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 (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 3) 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 (pow (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) 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)) 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)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (* -1/2 (* a PI)) 1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* a 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 (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 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 (- 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 (+ (* -1 0) (* (/ 1 a) -1)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (- (/ 1 a)) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) 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 (* a PI)) (/ 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 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* a PI)) (/ 0 1)))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* a PI)) 0) (* (* 1/2 PI) 1)) into (* 1/2 PI) * [misc]taylor: Taking taylor expansion of (* 1/2 PI) in a * [misc]taylor: Taking taylor expansion of 1/2 in a * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (- 0) into 0 * [misc]backup-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 (+ (* -1 0) (+ (* (/ 1 a) 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 a) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 a)) (/ -1 a))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow a 2))) (+ (* (/ 1 a) (- (/ 1 a))) (* (/ 1 (pow a 2)) 1))) into (/ 1 (pow a 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) (+ (* 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 (* a PI)) (/ 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* a PI)) (/ 0 1)) (* (* 1/2 PI) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (* -1/2 (* a PI)) (/ 1 (pow a 2))) (+ (* (* 1/2 PI) 0) (* 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 (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) 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 (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (+ (pow a 3) (pow b 3)) in a * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [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 (pow b 3) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (- (pow b 3) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow b 3) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking 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 b) into (pow b 2) * [misc]backup-simplify: Simplify (* b (pow b 2)) into (pow b 3) * [misc]backup-simplify: Simplify (+ 0 (pow b 3)) into (pow b 3) * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* b (pow b 2)) into (pow b 3) * [misc]backup-simplify: Simplify (+ (pow b 3) 0) into (pow b 3) * [misc]backup-simplify: Simplify (* (pow b 3) (pow b 3)) into (pow b 6) * [misc]backup-simplify: Simplify (/ (* 1/2 PI) (pow b 6)) into (* 1/2 (/ PI (pow b 6))) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) 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 (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 3) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [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 (- (pow b 3) (pow a 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [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 (pow a 3) in b * [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 (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (+ (pow a 3) 0) into (pow a 3) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (- (pow a 3)) into (- (pow a 3)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 3))) into (- (pow a 3)) * [misc]backup-simplify: Simplify (* (pow a 3) (- (pow a 3))) into (* -1 (pow a 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 6))) into (* 1/2 (/ PI (pow a 6))) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) 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 (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow a 3) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (pow a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [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 (- (pow b 3) (pow a 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [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 (pow a 3) in b * [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 (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (+ (pow a 3) 0) into (pow a 3) * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (- (pow a 3)) into (- (pow a 3)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 3))) into (- (pow a 3)) * [misc]backup-simplify: Simplify (* (pow a 3) (- (pow a 3))) into (* -1 (pow a 6)) * [misc]backup-simplify: Simplify (/ (- (* 1/2 PI)) (* -1 (pow a 6))) into (* 1/2 (/ PI (pow a 6))) * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 6))) 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 6)) 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 6) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 3) 0) (* 0 (- (pow a 3)))) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 (/ PI a)) (* -1 (pow a 6))) (+ (* (* 1/2 (/ PI (pow a 6))) (/ 0 (* -1 (pow a 6)))))) into (- (* 1/2 (/ PI (pow a 7)))) * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ PI (pow a 7)))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (/ PI (pow a 7))) 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 7)) 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 7) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ PI 1) into PI * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 3) 0) (+ (* 0 0) (* 0 (- (pow a 3))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (pow a 6))) (+ (* (* 1/2 (/ PI (pow a 6))) (/ 0 (* -1 (pow a 6)))) (* (- (* 1/2 (/ PI (pow a 7)))) (/ 0 (* -1 (pow a 6)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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)) (* 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (pow a 3) 1) (+ (* 0 0) (+ (* 0 0) (* 1 (- (pow a 3)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (* -1 (pow a 6))) (+ (* (* 1/2 (/ PI (pow a 6))) (/ 0 (* -1 (pow a 6)))) (* (- (* 1/2 (/ PI (pow a 7)))) (/ 0 (* -1 (pow a 6)))) (* 0 (/ 0 (* -1 (pow a 6)))))) 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]approximate: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) 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 (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) 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 (pow (/ 1 b) 3) 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 (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 3) 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 (pow (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (* b PI))) -1) into (* 1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) 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 (pow (/ 1 b) 3) 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 (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 3) 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 (pow (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)))) 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 a) 3) (pow (/ 1 b) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 a) 3) 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 (pow (/ 1 b) 3) 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 (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 3) 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 (pow (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 (* a PI)) 1) into (* 1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* 1/2 (* a 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 (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (* a PI)) (/ 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 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 PI)) 1) (+ (* (* 1/2 (* a PI)) (/ 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (* a PI)) (/ 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 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* 1/2 (* a PI)) (/ 0 1)) (* (- (* 1/2 PI)) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) 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 (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) in a * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) 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 (pow (/ 1 (- b)) 3) 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 (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 3) 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 (pow (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* (* 1/2 PI) b) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* b PI)) 0) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 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 (* b PI)) -1) into (* -1/2 (* PI b)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) 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 (pow (/ 1 (- b)) 3) 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 (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 3) 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 (pow (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (/ (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)))) 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 (* a PI)) * [misc]taylor: Taking taylor expansion of (* (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) in b * [misc]taylor: Taking taylor expansion of (+ (pow (/ 1 (- a)) 3) (pow (/ 1 (- b)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- a)) 3) 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 (pow (/ 1 (- b)) 3) 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 (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 3) 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 (pow (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ (- (* 1/2 (* a PI))) 1) into (* -1/2 (* a PI)) * [misc]taylor: Taking taylor expansion of (* -1/2 (* a 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 (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (* a PI)) (/ 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 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ (* 1/2 PI) 1) (+ (* (* -1/2 (* a PI)) (/ 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 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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]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 (* a PI)) (/ 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 (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1/2 (* a PI)) (/ 0 1)) (* (* 1/2 PI) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) in b * [misc]taylor: Taking taylor expansion of (fma (+ a b) a (* b b)) in b * [misc]taylor: Rewrote expression to (+ (* (+ a b) a) (* b b)) * [misc]taylor: Taking taylor expansion of (* (+ a b) a) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (- b a) b (* a a)) in b * [misc]taylor: Rewrote expression to (+ (* (- b a) b) (* a a)) * [misc]taylor: Taking taylor expansion of (* (- b a) b) 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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) in a * [misc]taylor: Taking taylor expansion of (fma (+ a b) a (* b b)) in a * [misc]taylor: Rewrote expression to (+ (* (+ a b) a) (* b b)) * [misc]taylor: Taking taylor expansion of (* (+ a b) a) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (fma (- b a) b (* a a)) in a * [misc]taylor: Rewrote expression to (+ (* (- b a) b) (* a a)) * [misc]taylor: Taking taylor expansion of (* (- b a) b) 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 in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) in a * [misc]taylor: Taking taylor expansion of (fma (+ a b) a (* b b)) in a * [misc]taylor: Rewrote expression to (+ (* (+ a b) a) (* b b)) * [misc]taylor: Taking taylor expansion of (* (+ a b) a) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (fma (- b a) b (* a a)) in a * [misc]taylor: Rewrote expression to (+ (* (- b a) b) (* a a)) * [misc]taylor: Taking taylor expansion of (* (- b a) b) 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 in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 b) into b * [misc]backup-simplify: Simplify (* b 0) into 0 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (+ 0 (pow b 2)) into (pow b 2) * [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 (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow b 2) 0) into (pow b 2) * [misc]backup-simplify: Simplify (* (pow b 2) (pow b 2)) into (pow b 4) * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking 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) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* b 0) (* -1 b)) into (- b) * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ (- b) 0) into (- b) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* b 1) (* 1 0)) into b * [misc]backup-simplify: Simplify (+ (* b 0) (* 0 b)) into 0 * [misc]backup-simplify: Simplify (+ b 0) into b * [misc]backup-simplify: Simplify (+ (* (pow b 2) (- b)) (* b (pow b 2))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* -1 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (* 0 b))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 1) (+ (* b (- b)) (* 1 (pow b 2)))) into (pow b 2) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* -1 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (* 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* b 1) (+ (* 1 (- b)) (* 0 (pow b 2))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (+ (* b 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow b 2) 0) (+ (* b 0) (+ (* 1 1) (+ (* 0 (- b)) (* 0 (pow b 2)))))) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* b 1) 4)) (+ (* 1 (pow (* b a) 2)) (* 1 (pow (* 1 a) 4)))) into (+ (pow b 4) (+ (* (pow a 2) (pow b 2)) (pow a 4))) * [misc]approximate: Taking taylor expansion of (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) 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) in b * [misc]taylor: Taking 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) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 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 (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 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 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) 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) 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) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 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 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) 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) 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) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ 1 b)) into (/ -1 b) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (/ 1 b)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 b) 1)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (/ 1 b) (/ 1 b))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 b) (/ 1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* (/ 1 b) (- (/ 1 b))) (* (/ 1 (pow b 2)) 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]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) 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 (/ 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 (+ (* 1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (* 0 (/ 1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) (- (/ 1 b))) (* 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b))))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 b) 0) (+ (* 0 0) (* 0 (/ 1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 (- (/ 1 b))) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 a))) 4)) (+ (* 1 (pow (* (/ 1 (/ 1 b)) (/ 1 (/ 1 a))) 2)) (* 1 (pow (* (/ 1 (/ 1 b)) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* (pow a 2) (pow b 2)))) * [misc]approximate: Taking taylor expansion of (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) 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)) 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)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 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 (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) 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)) 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)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) 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)) 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)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in b * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ -1 b)) into (/ -1 b) * [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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [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) 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 0) (* (- (/ 1 b)) -1)) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (/ 1 b) 0) into (/ 1 b) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 b))) (* (/ 1 b) 1)) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 b) 0) into (- (/ 1 b)) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (- (/ 1 b)) (/ -1 b))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow b 2)) 0) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 b) (/ -1 b)) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow b 2))) into (/ 1 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow b 2))) (+ (* (/ 1 b) (- (/ 1 b))) (* (/ 1 (pow b 2)) 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]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 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 (- 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 (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (* 0 (/ -1 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (- 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 (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 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) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 b) 0) (* 0 (/ -1 b))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) (/ 1 (pow b 2))) (+ (* (/ 1 (pow b 2)) (- (/ 1 b))) (* 0 1)))) 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 0) (* 0 (/ -1 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (- (/ 1 b)) 0) (+ (* 0 0) (+ (* 0 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) 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 (+ (* (/ -1 b) 0) (+ (* 0 0) (* 0 (/ -1 b)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 b) 0) (+ (* (/ 1 (pow b 2)) (/ 1 (pow b 2))) (+ (* 0 (- (/ 1 b))) (* 0 1))))) into (/ 1 (pow b 4)) * [misc]taylor: Taking taylor expansion of (/ 1 (pow b 4)) in b * [misc]taylor: Taking taylor expansion of (pow b 4) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- a)))) 4)) (+ (* 1 (pow (* (/ 1 (/ 1 (- b))) (/ 1 (/ 1 (- a)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- b))) 1) 4)))) into (+ (pow b 4) (+ (pow a 4) (* (pow a 2) (pow b 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 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: simplifying candidates * * * * [misc]progress: [ 1 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (* (/ (fma b (- b a) (* a a)) (/ (fma b (* b b) (pow a 3)) (fma (+ a b) a (* b b)))) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (fma (* a a) (- a) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (* (/ (fma b (- b a) (* a a)) (/ (fma b (* b b) (pow a 3)) (fma (+ a b) a (* b b)))) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (fma (* a a) (- a) (pow b 3)))) 1)) * * * * [misc]progress: [ 4 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (* (/ (fma b (- b a) (* a a)) (/ (fma b (* b b) (pow a 3)) (fma (+ a b) a (* b b)))) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (fma (* a a) (- a) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (pow (* (/ (fma b (- b a) (* a a)) (/ (fma b (* b b) (pow a 3)) (fma (+ a b) a (* b b)))) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (fma (* a a) (- a) (pow b 3)))) 1)) * * * * [misc]progress: [ 5 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ (log (+ (pow a 3) (pow b 3))) (log (- (pow b 3) (pow a 3))))) (+ (log (fma (+ a b) a (* b b))) (log (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (123 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (- (- (log (+ (/ (/ PI -2) b) (/ (/ PI a) 2))) (log (fma a (* a a) (pow b 3)))) (- (- (log (fma (- a) (* a a) (pow b 3))) (log (fma (+ a b) a (* b b)))) (log (fma b (- b a) (* a a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (- (- (log (+ (/ (/ PI -2) b) (/ (/ PI a) 2))) (log (fma a (* a a) (pow b 3)))) (- (- (log (fma (- a) (* a a) (pow b 3))) (log (fma (+ a b) a (* b b)))) (log (fma b (- b a) (* a a))))))) * * * * [misc]progress: [ 7 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ (log (+ (pow a 3) (pow b 3))) (log (- (pow b 3) (pow a 3))))) (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (127 enodes) * * [misc]simplify: iters left: 3 (314 enodes) * [exit]simplify: Simplified to (+ (- (log (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (+ (log (fma (- a) (* a a) (pow b 3))) (log (fma (* a a) a (pow b 3))))) (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (+ (log (fma (- a) (* a a) (pow b 3))) (log (fma (* a a) a (pow b 3))))) (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 8 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (log (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (+ (log (fma (+ a b) a (* b b))) (log (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (129 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (+ (+ (log (+ (/ (/ PI a) 2) (/ PI (* -2 b)))) (log (fma a (+ a b) (* b b)))) (- (log (fma (- b a) b (* a a))) (log (* (fma (- a) (* a a) (pow b 3)) (fma (* a a) a (pow b 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (+ (log (+ (/ (/ PI a) 2) (/ PI (* -2 b)))) (log (fma a (+ a b) (* b b)))) (- (log (fma (- b a) b (* a a))) (log (* (fma (- a) (* a a) (pow b 3)) (fma (* a a) a (pow b 3)))))))) * * * * [misc]progress: [ 9 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (log (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (58 enodes) * * [misc]simplify: iters left: 4 (135 enodes) * * [misc]simplify: iters left: 3 (378 enodes) * [exit]simplify: Simplified to (+ (- (log (* (fma (- b a) b (* a a)) (fma a (+ a b) (* b b)))) (log (* (fma (- a) (* a a) (pow b 3)) (fma (* a a) a (pow b 3))))) (log (+ (/ (/ PI -2) b) (/ (/ PI a) 2)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (- (log (* (fma (- b a) b (* a a)) (fma a (+ a b) (* b b)))) (log (* (fma (- a) (* a a) (pow b 3)) (fma (* a a) a (pow b 3))))) (log (+ (/ (/ PI -2) b) (/ (/ PI a) 2)))))) * * * * [misc]progress: [ 10 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (+ (log (fma (+ a b) a (* b b))) (log (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (113 enodes) * * [misc]simplify: iters left: 3 (276 enodes) * [exit]simplify: Simplified to (+ (log (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (* (fma (* a a) (- a) (pow b 3)) (fma (* b b) b (pow a 3))))) (+ (log (fma (- b a) b (* a a))) (log (fma (+ a b) a (* b b))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (* (fma (* a a) (- a) (pow b 3)) (fma (* b b) b (pow a 3))))) (+ (log (fma (- b a) b (* a a))) (log (fma (+ a b) a (* b b))))))) * * * * [misc]progress: [ 11 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (55 enodes) * * [misc]simplify: iters left: 4 (122 enodes) * * [misc]simplify: iters left: 3 (331 enodes) * [exit]simplify: Simplified to (+ (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) (log (/ (+ (/ PI (* a 2)) (/ PI (* -2 b))) (* (fma (- a) (* a a) (pow b 3)) (fma (* b b) b (pow a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (exp (+ (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) (log (/ (+ (/ PI (* a 2)) (/ PI (* -2 b))) (* (fma (- a) (* a a) (pow b 3)) (fma (* b b) b (pow a 3)))))))) * * * * [misc]progress: [ 12 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 126 ] 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))) (* (* (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (+ (pow a 3) (pow b 3))) (* (* (- (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3))) (- (pow b 3) (pow a 3))))) (* (* (* (fma (+ a b) a (* b b)) (fma (+ a b) a (* b b))) (fma (+ a b) a (* b b))) (* (* (fma (- b a) b (* a a)) (fma (- b a) b (* a a))) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (91 enodes) * * [misc]simplify: iters left: 4 (455 enodes) * [exit]simplify: Simplified to (* (/ (* (* (fma a (+ a b) (* b b)) (fma a (+ a b) (* b b))) (* (fma b (- b a) (* a a)) (fma a (+ a b) (* b b)))) (/ (pow (fma a (* a a) (pow b 3)) 3) (* (fma b (- b a) (* a a)) (fma b (- b a) (* a a))))) (/ (* (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))) (/ (pow (fma (- a) (* a a) (pow b 3)) 3) (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (* (* (fma a (+ a b) (* b b)) (fma a (+ a b) (* b b))) (* (fma b (- b a) (* a a)) (fma a (+ a b) (* b b)))) (/ (pow (fma a (* a a) (pow b 3)) 3) (* (fma b (- b a) (* a a)) (fma b (- b a) (* a a))))) (/ (* (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))) (/ (pow (fma (- a) (* a a) (pow b 3)) 3) (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))))))) * * * * [misc]progress: [ 15 / 126 ] 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))) (* (* (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (+ (pow a 3) (pow b 3))) (* (* (- (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3))) (- (pow b 3) (pow a 3))))) (* (* (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (90 enodes) * * [misc]simplify: iters left: 4 (447 enodes) * [exit]simplify: Simplified to (* (/ (* (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2))) (/ (* (fma (* a a) a (pow b 3)) (fma (* a a) a (pow b 3))) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)))) (/ (pow (* (fma a (+ a b) (* b b)) (fma b (- b a) (* a a))) 3) (* (* (fma (* a a) a (pow b 3)) (fma (- a) (* a a) (pow b 3))) (* (fma (- a) (* a a) (pow b 3)) (fma (- a) (* a a) (pow b 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (* (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2))) (/ (* (fma (* a a) a (pow b 3)) (fma (* a a) a (pow b 3))) (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)))) (/ (pow (* (fma a (+ a b) (* b b)) (fma b (- b a) (* a a))) 3) (* (* (fma (* a a) a (pow b 3)) (fma (- a) (* a a) (pow b 3))) (* (fma (- a) (* a a) (pow b 3)) (fma (- a) (* a a) (pow b 3)))))))) * * * * [misc]progress: [ 16 / 126 ] 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))) (* (* (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (* (* (* (fma (+ a b) a (* b b)) (fma (+ a b) a (* b b))) (fma (+ a b) a (* b b))) (* (* (fma (- b a) b (* a a)) (fma (- b a) b (* a a))) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (353 enodes) * [exit]simplify: Simplified to (* (/ (* (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))) (pow (* (fma (* a a) (- a) (pow b 3)) (fma (* b b) b (pow a 3))) 3)) (* (* (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma b (- b a) (* a a)) (fma b (- b a) (* a a)))) (* (* (fma b (- b a) (* a a)) (fma (+ a b) a (* b b))) (* (fma (+ a b) a (* b b)) (fma (+ a b) a (* b b)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (/ (* (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))) (pow (* (fma (* a a) (- a) (pow b 3)) (fma (* b b) b (pow a 3))) 3)) (* (* (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma b (- b a) (* a a)) (fma b (- b a) (* a a)))) (* (* (fma b (- b a) (* a a)) (fma (+ a b) a (* b b))) (* (fma (+ a b) a (* b b)) (fma (+ a b) a (* b b)))))))) * * * * [misc]progress: [ 17 / 126 ] 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))) (* (* (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (* (* (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (345 enodes) * [exit]simplify: Simplified to (* (* (pow (* (fma b (- b a) (* a a)) (fma (+ a b) a (* b b))) 3) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma a (* a a) (pow b 3))))) (* (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma a (* a a) (pow b 3)))) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma a (* a a) (pow b 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (pow (* (fma b (- b a) (* a a)) (fma (+ a b) a (* b b))) 3) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma a (* a a) (pow b 3))))) (* (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma a (* a a) (pow b 3)))) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma a (* a a) (pow b 3)))))))) * * * * [misc]progress: [ 18 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (* (* (* (fma (+ a b) a (* b b)) (fma (+ a b) a (* b b))) (fma (+ a b) a (* b b))) (* (* (fma (- b a) b (* a a)) (fma (- b a) b (* a a))) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (70 enodes) * * [misc]simplify: iters left: 4 (272 enodes) * [exit]simplify: Simplified to (* (* (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma b (* b b) (pow a 3)))) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma b (* b b) (pow a 3))))) (* (* (pow (fma b (- b a) (* a a)) 3) (pow (fma a (+ a b) (* b b)) 3)) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma b (* b b) (pow a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma b (* b b) (pow a 3)))) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma b (* b b) (pow a 3))))) (* (* (pow (fma b (- b a) (* a a)) 3) (pow (fma a (+ a b) (* b b)) 3)) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (* (fma (- a) (* a a) (pow b 3)) (fma b (* b b) (pow a 3)))))))) * * * * [misc]progress: [ 19 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (* (* (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (69 enodes) * * [misc]simplify: iters left: 4 (264 enodes) * [exit]simplify: Simplified to (* (* (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (* (fma (* a a) (- a) (pow b 3)) (fma b (* b b) (pow a 3)))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (* (fma (* a a) (- a) (pow b 3)) (fma b (* b b) (pow a 3))))) (* (pow (* (fma (- b a) b (* a a)) (fma a (+ a b) (* b b))) 3) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (* (fma (* a a) (- a) (pow b 3)) (fma b (* b b) (pow a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (cbrt (* (* (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (* (fma (* a a) (- a) (pow b 3)) (fma b (* b b) (pow a 3)))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (* (fma (* a a) (- a) (pow b 3)) (fma b (* b b) (pow a 3))))) (* (pow (* (fma (- b a) b (* a a)) (fma a (+ a b) (* b b))) 3) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (* (fma (* a a) (- a) (pow b 3)) (fma b (* b b) (pow a 3)))))))) * * * * [misc]progress: [ 20 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (* a a))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (137 enodes) * [exit]simplify: Simplified to (* (/ (fma (+ a b) a (* b b)) (/ (fma (- a) (* a a) (pow b 3)) (* a a))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (fma a (* a a) (pow b 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (* (- b a) b))) (* (/ (fma (+ a b) a (* b b)) (/ (fma (- a) (* a a) (pow b 3)) (* a a))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (fma a (* a a) (pow b 3)))))) * * * * [misc]progress: [ 25 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (* a a) (fma (+ a b) a (* b b)))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (* (/ (* (* a a) (fma (+ a b) a (* b b))) (fma (* a a) (- a) (pow b 3))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (fma (* b b) b (pow a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (* (- b a) b) (fma (+ a b) a (* b b)))) (* (/ (* (* a a) (fma (+ a b) a (* b b))) (fma (* a a) (- a) (pow b 3))) (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) (fma (* b b) b (pow a 3)))))) * * * * [misc]progress: [ 26 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (+ a b) a (* b b)) (* a a)) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (136 enodes) * [exit]simplify: Simplified to (/ (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (fma (+ b a) a (* b b)) (* a a))) (* (fma (* a a) (- a) (pow b 3)) (fma b (* b b) (pow a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (* (* (fma (+ a b) a (* b b)) (* (- b a) b)) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (/ (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (fma (+ b a) a (* b b)) (* a a))) (* (fma (* a a) (- a) (pow b 3)) (fma b (* b b) (pow a 3)))))) * * * * [misc]progress: [ 27 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* a a) (fma (+ a b) a (* b b))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (47 enodes) * * [misc]simplify: iters left: 4 (143 enodes) * [exit]simplify: Simplified to (/ (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (fma (+ a b) a (* b b)) (* a a))) (* (fma (* a a) (- a) (pow b 3)) (fma (* b b) b (pow a 3)))) * [misc]simplify: Simplified (2 2) to (λ (a b) (+ (* (* (* (- b a) b) (fma (+ a b) a (* b b))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (/ (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (fma (+ a b) a (* b b)) (* a a))) (* (fma (* a a) (- a) (pow b 3)) (fma (* b b) b (pow a 3)))))) * * * * [misc]progress: [ 28 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- b a) b (* a a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (fma (- b a) b (* a a)) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (fma (+ a b) a (* b b))) (fma (- b a) b (* a a)))) * * * * [misc]progress: [ 29 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) (* (fma (- a) (* a a) (pow b 3)) (fma (* b b) b (pow a 3))))) (cbrt (/ (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) (* (fma (- a) (* a a) (pow b 3)) (fma (* b b) b (pow a 3)))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (/ (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) (* (fma (- a) (* a a) (pow b 3)) (fma (* b b) b (pow a 3))))) (cbrt (/ (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) (* (fma (- a) (* a a) (pow b 3)) (fma (* b b) b (pow a 3)))))) (* (cbrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 30 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ (/ PI (* -2 b)) (/ (/ PI a) 2)) (* (fma (- a) (* a a) (pow b 3)) (fma a (* a a) (pow b 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (sqrt (/ (+ (/ PI (* -2 b)) (/ (/ PI a) 2)) (* (fma (- a) (* a a) (pow b 3)) (fma a (* a a) (pow b 3))))) (* (sqrt (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 31 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 32 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (fma b (* b b) (pow a 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (fma b (* b b) (pow a 3))) (* (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 33 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (fma b (* b b) (pow a 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ 1 (fma b (* b b) (pow a 3))) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 34 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (+ (/ (/ PI -2) b) (/ PI (* a 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (+ (/ (/ PI -2) b) (/ PI (* a 2))) (* (/ 1 (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 36 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow (pow a 3) 3) (pow (pow b 3) 3)) (- (pow (pow b 3) 3) (pow (pow a 3) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (350 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (* (fma (* (pow a 5) a) (* (* a a) (- a)) (pow (pow b 3) 3)) (+ (pow (pow b 3) 3) (pow (pow a 3) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (* (fma (* (pow a 5) a) (* (* a a) (- a)) (pow (pow b 3) 3)) (+ (pow (pow b 3) 3) (pow (pow a 3) 3)))) (* (* (+ (* (pow a 3) (pow a 3)) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow b 3)))) (+ (* (pow b 3) (pow b 3)) (+ (* (pow a 3) (pow a 3)) (* (pow b 3) (pow a 3))))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 37 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow (pow a 3) 3) (pow (pow b 3) 3)) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (382 enodes) * [exit]simplify: Simplified to (/ (/ (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) (fma (pow b 3) (* (pow b 3) (pow b 3)) (pow (pow a 3) 3))) (* (fma (* a a) (- a) (pow b 3)) (fma a (* a a) (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) (fma (pow b 3) (* (pow b 3) (pow b 3)) (pow (pow a 3) 3))) (* (fma (* a a) (- a) (pow b 3)) (fma a (* a a) (pow b 3)))) (* (* (+ (* (pow a 3) (pow a 3)) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow b 3)))) (+ (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 38 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* (pow a 3) (pow a 3)) (* (pow b 3) (pow b 3))) (- (pow (pow b 3) 3) (pow (pow a 3) 3)))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (130 enodes) * * [misc]simplify: iters left: 3 (446 enodes) * [exit]simplify: Simplified to (/ (/ (+ (/ PI (* -2 b)) (/ (/ PI a) 2)) (- (* a (pow a 5)) (* (pow b 3) (pow b 3)))) (fma (* a (pow a 5)) (* (* a a) (- a)) (pow (pow b 3) 3))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (/ (+ (/ PI (* -2 b)) (/ (/ PI a) 2)) (- (* a (pow a 5)) (* (pow b 3) (pow b 3)))) (fma (* a (pow a 5)) (* (* a a) (- a)) (pow (pow b 3) 3))) (* (* (- (pow a 3) (pow b 3)) (+ (* (pow b 3) (pow b 3)) (+ (* (pow a 3) (pow a 3)) (* (pow b 3) (pow a 3))))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 39 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* (pow a 3) (pow a 3)) (* (pow b 3) (pow b 3))) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (110 enodes) * * [misc]simplify: iters left: 3 (373 enodes) * [exit]simplify: Simplified to (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (* (fma (* a a) (- a) (pow b 3)) (fma a (* a a) (pow b 3))) (- (* (pow a 5) a) (* (pow b 3) (pow b 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (* (fma (* a a) (- a) (pow b 3)) (fma a (* a a) (pow b 3))) (- (* (pow a 5) a) (* (pow b 3) (pow b 3))))) (* (* (- (pow a 3) (pow b 3)) (+ (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 40 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow (pow b 3) 3) (pow (pow a 3) 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (340 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (- (* (pow (pow b 3) 3) (fma (* b b) b (pow a 3))) (* (fma (* b b) b (pow a 3)) (pow (pow a 3) 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (- (* (pow (pow b 3) 3) (fma (* b b) b (pow a 3))) (* (fma (* b b) b (pow a 3)) (pow (pow a 3) 3)))) (* (+ (* (pow b 3) (pow b 3)) (+ (* (pow a 3) (pow a 3)) (* (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 41 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (/ (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) (* (* (fma (* a a) (- a) (pow b 3)) (fma (* a a) a (pow b 3))) (fma (* a a) a (pow b 3)))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (/ (/ PI -2) b) (/ (/ PI a) 2)) (* (* (fma (* a a) (- a) (pow b 3)) (fma (* a a) a (pow b 3))) (fma (* a a) a (pow b 3)))) (* (+ (pow b 3) (pow a 3)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 42 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow (pow a 3) 3) (pow (pow b 3) 3)) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (fma (* (fma (- a) (* a a) (pow b 3)) (pow (* a a) 4)) a (* (pow (pow b 3) 3) (fma (- a) (* a a) (pow b 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (fma (* (fma (- a) (* a a) (pow b 3)) (pow (* a a) 4)) a (* (pow (pow b 3) 3) (fma (- a) (* a a) (pow b 3))))) (* (+ (* (pow a 3) (pow a 3)) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow b 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 43 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* (pow a 3) (pow a 3)) (* (pow b 3) (pow b 3))) (- (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 (102 enodes) * * [misc]simplify: iters left: 3 (300 enodes) * [exit]simplify: Simplified to (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (fma (* (fma (* a a) (- a) (pow b 3)) (pow b 3)) (* (* b b) (- b)) (* (pow (* a a) 3) (fma (* a a) (- a) (pow b 3))))) * [misc]simplify: Simplified (2 1) to (λ (a b) (* (/ (+ (/ PI (* -2 b)) (/ PI (* a 2))) (fma (* (fma (* a a) (- a) (pow b 3)) (pow b 3)) (* (* b b) (- b)) (* (pow (* a a) 3) (fma (* a a) (- a) (pow b 3))))) (* (- (pow a 3) (pow b 3)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 44 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (82 enodes) * * [misc]simplify: iters left: 3 (397 enodes) * [exit]simplify: Simplified to (* (* (fma (- b a) b (* a a)) (fma a (+ a b) (* b b))) (+ (/ PI (* -2 b)) (/ (/ PI a) 2))) * [misc]simplify: Simplified (2 1) to (λ (a b) (/ (* (* (fma (- b a) b (* a a)) (fma a (+ a b) (* b b))) (+ (/ PI (* -2 b)) (/ (/ PI a) 2))) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) * * * * [misc]progress: [ 45 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ (log (+ (pow a 3) (pow b 3))) (log (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (163 enodes) * [exit]simplify: Simplified to (- (log (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (+ (log (fma (* a a) a (pow b 3))) (log (fma (* a a) (- a) (pow b 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (- (log (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (+ (log (fma (* a a) a (pow b 3))) (log (fma (* a a) (- a) (pow b 3)))))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 50 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (log (* (+ (pow a 3) (pow b 3)) (- (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 (80 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (- (log (+ (* -1/2 (/ PI b)) (/ (/ PI a) 2))) (log (* (fma (* a a) (- a) (pow b 3)) (fma b (* b b) (pow a 3))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (exp (- (log (+ (* -1/2 (/ PI b)) (/ (/ PI a) 2))) (log (* (fma (* a a) (- a) (pow b 3)) (fma b (* b b) (pow a 3)))))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 51 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 126 ] 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))) (* (* (* (+ (pow a 3) (pow b 3)) (+ (pow a 3) (pow b 3))) (+ (pow a 3) (pow b 3))) (* (* (- (pow b 3) (pow a 3)) (- (pow b 3) (pow a 3))) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (62 enodes) * * [misc]simplify: iters left: 4 (297 enodes) * [exit]simplify: Simplified to (/ (pow (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) 3) (* (pow (fma a (* a a) (pow b 3)) 3) (pow (fma (* a a) (- a) (pow b 3)) 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (/ (pow (fma (/ -1 b) (/ PI 2) (/ (/ PI a) 2)) 3) (* (pow (fma a (* a a) (pow b 3)) 3) (pow (fma (* a a) (- a) (pow b 3)) 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 54 / 126 ] 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))) (* (* (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (pow (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (fma (* a a) (- a) (pow b 3)) (fma (* b b) b (pow a 3)))) 3) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (cbrt (pow (/ (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)) (* (fma (* a a) (- a) (pow b 3)) (fma (* b b) b (pow a 3)))) 3)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 55 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma (* a a) (- a) (pow b 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 60 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (fma b (* b b) (pow a 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (fma b (* b b) (pow a 3))) (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * [enter]simplify: Simplifying (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma (* a a) (- a) (pow b 3))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (+ (pow a 3) (pow b 3))) (/ (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma (* a a) (- a) (pow b 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 61 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (pow a 3) (pow b 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (fma b (* b b) (pow a 3))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (/ 1 (fma b (* b b) (pow a 3))) (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * [enter]simplify: Simplifying (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (- (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (fma (- a) (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ 1 (+ (pow a 3) (pow b 3))) (/ (- (/ PI (* a 2)) (/ (/ PI b) 2)) (fma (- a) (* a a) (pow b 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 62 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow b 3) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (fma (- a) (* a a) (pow b 3)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (/ (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (+ (pow a 3) (pow b 3))) (fma (- a) (* a a) (pow b 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 66 / 126 ] 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 b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 67 / 126 ] 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 (* 2 b)))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (/ (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (/ (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3))) (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 68 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow a 3) (pow a 3)) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow b 3)))) (+ (* (pow b 3) (pow b 3)) (+ (* (pow a 3) (pow a 3)) (* (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * [exit]simplify: Simplified to (* (fma (pow b 3) (- (pow b 3) (pow a 3)) (* (pow a 3) (pow a 3))) (fma (fma (* b b) b (pow a 3)) (pow a 3) (* (pow b 3) (pow b 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow (pow a 3) 3) (pow (pow b 3) 3)) (- (pow (pow b 3) 3) (pow (pow a 3) 3)))) (* (fma (pow b 3) (- (pow b 3) (pow a 3)) (* (pow a 3) (pow a 3))) (fma (fma (* b b) b (pow a 3)) (pow a 3) (* (pow b 3) (pow b 3))))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 70 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* (pow a 3) (pow a 3)) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow b 3)))) (+ (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (139 enodes) * [exit]simplify: Simplified to (* (fma (- (pow b 3) (pow a 3)) (pow b 3) (* (pow a 3) (pow a 3))) (fma a (* a a) (pow b 3))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow (pow a 3) 3) (pow (pow b 3) 3)) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow a 3))))) (* (fma (- (pow b 3) (pow a 3)) (pow b 3) (* (pow a 3) (pow a 3))) (fma a (* a a) (pow b 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 71 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow a 3) (pow b 3)) (+ (* (pow b 3) (pow b 3)) (+ (* (pow a 3) (pow a 3)) (* (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (* (fma (* b b) (- b) (pow a 3)) (fma (pow a 3) (fma (* a a) a (pow b 3)) (* (pow b 3) (pow b 3)))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* (pow a 3) (pow a 3)) (* (pow b 3) (pow b 3))) (- (pow (pow b 3) 3) (pow (pow a 3) 3)))) (* (fma (* b b) (- b) (pow a 3)) (fma (pow a 3) (fma (* a a) a (pow b 3)) (* (pow b 3) (pow b 3))))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 72 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (pow a 3) (pow b 3)) (+ (pow b 3) (pow a 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (* (fma (* b b) (- b) (pow a 3)) (fma b (* b b) (pow a 3))) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* (pow a 3) (pow a 3)) (* (pow b 3) (pow b 3))) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow a 3))))) (* (fma (* b b) (- b) (pow a 3)) (fma b (* b b) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 73 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow b 3) (pow b 3)) (+ (* (pow a 3) (pow a 3)) (* (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * * [misc]simplify: iters left: 2 (306 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (fma (pow a 3) (fma b (* b b) (pow a 3)) (pow (* b b) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow (pow b 3) 3) (pow (pow a 3) 3)))) (fma (pow a 3) (fma b (* b b) (pow a 3)) (pow (* b b) 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 74 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 3) (pow a 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (fma a (* a a) (pow b 3)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow a 3))))) (fma a (* a a) (pow b 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 75 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (pow a 3) (pow a 3)) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow b 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (253 enodes) * [exit]simplify: Simplified to (fma (fma (* a a) (- a) (pow b 3)) (pow b 3) (pow (* a a) 3)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow (pow a 3) 3) (pow (pow b 3) 3)) (- (pow b 3) (pow a 3)))) (fma (fma (* a a) (- a) (pow b 3)) (pow b 3) (pow (* a a) 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 76 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow a 3) (pow b 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (fma (- b) (* b b) (pow a 3)) * [misc]simplify: Simplified (2 1 2) to (λ (a b) (* (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (- (* (pow a 3) (pow a 3)) (* (pow b 3) (pow b 3))) (- (pow b 3) (pow a 3)))) (fma (- b) (* b b) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 77 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (418 enodes) * [exit]simplify: Simplified to (* (fma (- b a) b (* a a)) (fma (+ b a) a (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (pow (* (fma (- b a) b (* a a)) (fma (+ b a) a (* b b))) 1))) * * * * [misc]progress: [ 80 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (fma (+ a b) a (* b b))) (log (fma (- b a) b (* a a)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (+ (log (fma (+ b a) a (* b b))) (log (fma b (- b a) (* a a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (exp (+ (log (fma (+ b a) a (* b b))) (log (fma b (- b a) (* a a))))))) * * * * [misc]progress: [ 82 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (fma (+ a b) a (* b b)) (fma (+ a b) a (* b b))) (fma (+ a b) a (* b b))) (* (* (fma (- b a) b (* a a)) (fma (- b a) b (* a a))) (fma (- b a) b (* a a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * [exit]simplify: Simplified to (* (pow (fma b (- b a) (* a a)) 3) (pow (fma (+ b a) a (* b b)) 3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (cbrt (* (pow (fma b (- b a) (* a a)) 3) (pow (fma (+ b a) a (* b b)) 3))))) * * * * [misc]progress: [ 85 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (fma (+ a b) a (* b b)) (* a a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (fma (+ b a) a (* b b)) (* a a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (+ (* (fma (+ a b) a (* b b)) (* (- b a) b)) (* (fma (+ b a) a (* b b)) (* a a))))) * * * * [misc]progress: [ 90 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* a a) (fma (+ a b) a (* b b))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (* (fma (+ a b) a (* b b)) (* a a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (+ (* (* (- b a) b) (fma (+ a b) a (* b b))) (* (fma (+ a b) a (* b b)) (* a a))))) * * * * [misc]progress: [ 91 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (fma (- b a) b (* a a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (cbrt (fma (- b a) b (* a a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (* (fma (+ a b) a (* b b)) (* (cbrt (fma (- b a) b (* a a))) (cbrt (fma (- b a) b (* a a))))) (cbrt (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 92 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (- b a) b (* a a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (sqrt (fma (- b a) b (* a a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (* (fma (+ a b) a (* b b)) (sqrt (fma (- b a) b (* a a)))) (sqrt (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 93 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- b a) b (* a a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (fma (- b a) b (* a a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (* (fma (+ a b) a (* b b)) 1) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 94 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (+ a b) a (* b b))) (cbrt (fma (+ a b) a (* b b)))) * * [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 (21 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (+ b a) a (* b b))) (cbrt (fma (+ b a) a (* b b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (* (cbrt (fma (+ b a) a (* b b))) (cbrt (fma (+ b a) a (* b b)))) (* (cbrt (fma (+ a b) a (* b b))) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 95 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (fma (+ a b) a (* b b))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (11 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (sqrt (fma (+ b a) a (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (sqrt (fma (+ b a) a (* b b))) (* (sqrt (fma (+ a b) a (* b b))) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 96 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) * [misc]simplify: Simplified (2 1 1 3 1) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (* (cbrt (/ PI 2)) (cbrt (/ PI 2))) (/ a (cbrt (/ PI 2))))) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 111 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ PI 2)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (/ PI 2)) * [misc]simplify: Simplified (2 1 1 3 1) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (sqrt (/ PI 2)) (/ a (sqrt (/ PI 2))))) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 112 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 126 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 116 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 117 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2) to (λ (a b) 0) * * * * [misc]progress: [ 118 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 119 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 120 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying 0 * * [misc]simplify: iters left: 0 (1 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (a b) (* 0 (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 121 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (* (pow a 2) (pow b 2)) (pow a 4))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (+ (pow a 4) (fma (* a b) (* a b) (pow b 4))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (+ (pow a 4) (fma (* a b) (* a b) (pow b 4))))) * * * * [misc]progress: [ 122 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* (pow a 2) (pow b 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* a b))))) * * * * [misc]progress: [ 123 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow b 4) (+ (pow a 4) (* (pow a 2) (pow b 2)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* a b))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (+ (+ (pow b 4) (pow a 4)) (* (* a b) (* a b))))) * * * * [misc]progress: [ 124 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 1 1 3) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 125 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 1 1 3) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 126 / 126 ] simplifiying candidate # * [enter]simplify: Simplifying (* 1/2 (/ PI a)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (14 enodes) * [exit]simplify: Simplified to (* (/ PI a) 1/2) * [misc]simplify: Simplified (2 1 1 3) to (λ (a b) (* (/ (fma (/ PI 2) (/ -1 b) (* (/ PI a) 1/2)) (* (+ (pow a 3) (pow b 3)) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a 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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) in a * [misc]taylor: Taking taylor expansion of (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) in a * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) in a * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) 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]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (- (pow b 3) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (pow b 3) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* b b) into (pow b 2) * [misc]backup-simplify: Simplify (* b (pow b 2)) into (pow b 3) * [misc]backup-simplify: Simplify (+ (pow b 3) 0) into (pow b 3) * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3)) into (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3)) * [misc]taylor: Taking taylor expansion of (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) in a * [misc]taylor: Taking taylor expansion of (fma (+ a b) a (* b b)) in a * [misc]taylor: Rewrote expression to (+ (* (+ a b) a) (* b b)) * [misc]taylor: Taking taylor expansion of (* (+ a b) a) in a * [misc]taylor: Taking taylor expansion of (+ a b) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* b b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (fma (- b a) b (* a a)) in a * [misc]taylor: Rewrote expression to (+ (* (- b a) b) (* a a)) * [misc]taylor: Taking taylor expansion of (* (- b a) b) 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 in a * [misc]backup-simplify: Simplify b into b * [misc]taylor: Taking taylor expansion of (* a a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) in b * [misc]taylor: Taking taylor expansion of (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) in b * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) 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]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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (- (pow b 3) (pow a 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [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 (pow a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (- (pow a 3)) into (- (pow a 3)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 3))) into (- (pow a 3)) * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (- (pow a 3))) into (* -1 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) * [misc]taylor: Taking taylor expansion of (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) in b * [misc]taylor: Taking taylor expansion of (fma (+ a b) a (* b b)) in b * [misc]taylor: Rewrote expression to (+ (* (+ a b) a) (* b b)) * [misc]taylor: Taking taylor expansion of (* (+ a b) a) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (- b a) b (* a a)) in b * [misc]taylor: Rewrote expression to (+ (* (- b a) b) (* a a)) * [misc]taylor: Taking taylor expansion of (* (- b a) b) 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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) in b * [misc]taylor: Taking taylor expansion of (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) in b * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) 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]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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (- (pow b 3) (pow a 3)) in b * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [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 (pow a 3) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* a (pow a 2)) into (pow a 3) * [misc]backup-simplify: Simplify (- (pow a 3)) into (- (pow a 3)) * [misc]backup-simplify: Simplify (+ 0 (- (pow a 3))) into (- (pow a 3)) * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (- (pow a 3))) into (* -1 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) * [misc]taylor: Taking taylor expansion of (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) in b * [misc]taylor: Taking taylor expansion of (fma (+ a b) a (* b b)) in b * [misc]taylor: Rewrote expression to (+ (* (+ a b) a) (* b b)) * [misc]taylor: Taking taylor expansion of (* (+ a b) a) in b * [misc]taylor: Taking taylor expansion of (+ a b) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of (* b b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (fma (- b a) b (* a a)) in b * [misc]taylor: Rewrote expression to (+ (* (- b a) b) (* a a)) * [misc]taylor: Taking taylor expansion of (* (- b a) b) 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 in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* a a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (+ (pow a 2) 0) into (pow a 2) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (+ 0 (- a)) into (- a) * [misc]backup-simplify: Simplify (* (- a) 0) into 0 * [misc]backup-simplify: Simplify (* a a) into (pow a 2) * [misc]backup-simplify: Simplify (+ 0 (pow a 2)) into (pow a 2) * [misc]backup-simplify: Simplify (* (pow a 2) (pow a 2)) into (pow a 4) * [misc]backup-simplify: Simplify (* (* -1 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) (pow a 4)) into (* -1 (* a (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))))) * [misc]taylor: Taking taylor expansion of (* -1 (* a (exp (* 1/3 (- (log (- (* 1/2 PI))) (log 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 (* a (exp (* 1/3 (- (log (- (* 1/2 PI))) (log 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 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 PI))) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (- (* 1/2 PI))) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 PI))) in a * [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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (- (* 1/2 PI))) (- (log b))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) into 0 * [misc]backup-simplify: Simplify (* -1 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* (- a) 1) (* 1 0)) into (- a) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (- a) 0) into (- a) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (* 1 a)) into a * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (+ a 0) into a * [misc]backup-simplify: Simplify (+ (* (pow a 2) (- a)) (* a (pow a 2))) 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 (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ PI a))) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (- (log (- (* 1/2 PI))) (log b)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) a)) * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 a)) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (* 0 (pow a 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/3 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) a)) (- (pow a 3))) (+ (* (* -1 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) (/ 0 (- (pow a 3)))))) into (* 1/3 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 4))) * [misc]backup-simplify: Simplify (+ (* (* -1 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) 0) (* (* 1/3 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 4))) (pow a 4))) into (* 1/3 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) * [misc]taylor: Taking taylor expansion of (* 1/3 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 PI))) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (- (* 1/2 PI))) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 PI))) in a * [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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (- (* 1/2 PI))) (- (log b))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) into (* 1/3 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) into (* 1/3 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 PI))) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (+ (* -1 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) (* 0 0)) into (- (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) * [misc]backup-simplify: Simplify (- (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) into (- (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- a) 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 1) (+ (* a (- a)) (* 1 (pow a 2)))) into (pow a 2) * [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 (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ PI a))) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log (- (* 1/2 PI))) (log b))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 2))) * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 a))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (* 0 (pow a 2)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 2))) (- (pow a 3))) (+ (* (* -1 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) (/ 0 (- (pow a 3)))) (* (* 1/3 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 4))) (/ 0 (- (pow a 3)))))) into (* 1/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 5))) * [misc]backup-simplify: Simplify (+ (* (* -1 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) (pow a 2)) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 4))) 0) (* (* 1/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 5))) (pow a 4)))) into (- (* 8/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) a))) * [misc]taylor: Taking taylor expansion of (- (* 8/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) a))) in a * [misc]taylor: Taking taylor expansion of (* 8/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) a)) in a * [misc]taylor: Taking taylor expansion of 8/9 in a * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) a) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 PI))) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (- (* 1/2 PI))) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 PI))) in a * [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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (- (* 1/2 PI))) (- (log b))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log 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 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) 1) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 PI))) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8/9 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))))) into 0 * [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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 PI))) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 PI))) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) (* 0 0))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (- a) 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 1 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* (pow a 2) 0) (+ (* a 1) (+ (* 1 (- a)) (* 0 (pow a 2))))) 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]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/2 (/ PI a))) 3)) (pow (- (* 1/2 PI)) 3))) (* -3 (/ (* (pow (* 1 (* 1/2 (/ PI a))) 1) (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 1/2 PI)) 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log (- (* 1/2 PI))) (log b)))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* a 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow a 2))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (* -5/81 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) (- (pow a 3))) (+ (* (* -1 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) (/ 1 (- (pow a 3)))) (* (* 1/3 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 4))) (/ 0 (- (pow a 3)))) (* (* 1/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 5))) (/ 0 (- (pow a 3)))))) into (- (* 76/81 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 6)))) * [misc]backup-simplify: Simplify (+ (* (* -1 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) 0) (+ (* (* 1/3 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 4))) (pow a 2)) (+ (* (* 1/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 5))) 0) (* (- (* 76/81 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 6)))) (pow a 4))))) into (- (* 49/81 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 2)))) * [misc]taylor: Taking taylor expansion of (- (* 49/81 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of (* 49/81 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of 49/81 in a * [misc]backup-simplify: Simplify 49/81 into 49/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 PI))) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (- (* 1/2 PI))) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 PI))) in a * [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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (- (* 1/2 PI))) (- (log b))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (pow 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) 1) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 PI))) (log b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 PI))) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 49/81 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))))) 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 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 PI))) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 8/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))))) 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 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 PI))) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) (* a 1)) (* (* 1/3 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))) (* 1 b))) into (- (* 1/3 (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) b)) (* a (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))))) * [misc]approximate: Taking taylor expansion of (* (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) in a * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) in a * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 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]backup-simplify: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* b PI)))) into (log (- (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* b PI))))) into (* 1/3 (log (- (* 1/2 (* b PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) into (pow (- (* 1/2 (* b PI))) 1/3) * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 3) 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 (pow (/ 1 a) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (pow (- (* 1/2 (* b PI))) 1/3) -1) into (* -1 (pow (* PI (* -1/2 b)) 1/3)) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) in a * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 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 b)) in a * [misc]taylor: Taking taylor expansion of (/ 1 b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ 1 b) into (/ 1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) in a * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) 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) 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) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (* (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) in b * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* a PI)))) into (* 1/3 (log (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* a PI))))) into (pow (* 1/2 (* a PI)) 1/3) * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 3) 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 (pow (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (pow (* 1/2 (* a PI)) 1/3) 1) into (pow (* a (* 1/2 PI)) 1/3) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) 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) in b * [misc]taylor: Taking 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) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 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 (* (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) (- (pow (/ 1 b) 3) (pow (/ 1 a) 3))) in b * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* a PI)))) into (* 1/3 (log (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* a PI))))) into (pow (* 1/2 (* a PI)) 1/3) * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 b) 3) (pow (/ 1 a) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 b) 3) 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 (pow (/ 1 a) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (pow (* 1/2 (* a PI)) 1/3) 1) into (pow (* a (* 1/2 PI)) 1/3) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a)))) in b * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 a) (/ 1 b)) (/ 1 a) (* (/ 1 b) (/ 1 b))) in b * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) (* (/ 1 b) (/ 1 b))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 a) (/ 1 b)) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 a) (/ 1 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 b)) in b * [misc]taylor: Taking taylor expansion of (/ 1 b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 b) (/ 1 a)) (/ 1 b) (* (/ 1 a) (/ 1 a))) in b * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) (* (/ 1 a) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 b) (/ 1 a)) (/ 1 b)) 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) in b * [misc]taylor: Taking 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) (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (pow (* a (* 1/2 PI)) 1/3) 1) into (pow (* a (* 1/2 PI)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* a (* 1/2 PI)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* a (* 1/2 PI))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* a (* 1/2 PI)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* a (* 1/2 PI))) in a * [misc]taylor: Taking taylor expansion of (* a (* 1/2 PI)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* 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 (* 0 (* 1/2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* 1/2 PI))) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 PI))) into (+ (log a) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* 1/2 PI)))) into (* 1/3 (+ (log a) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log a) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [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 a)) 1)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (- (/ 1 a)) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 (/ 1 a)) into (/ 1 a) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) 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 (* a PI)) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* a PI)) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (log (* 1/2 (* a PI))))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* a PI))))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3)) 1) (+ (* (pow (* a (* 1/2 PI)) 1/3) (/ 0 1)))) into (- (* 1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (* a (* 1/2 PI)) 1/3) 0) (* (- (* 1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3))) 1)) into (- (* 1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3))) * [misc]taylor: Taking taylor expansion of (- (* 1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3)) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* 1/2 PI) (pow a 2)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* 1/2 PI) (pow a 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* 1/2 PI) (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* 1/2 PI) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ (* 1/2 PI) (pow a 2)) 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]taylor: Taking taylor expansion of (pow 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]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 2 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a)))) into (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log a) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 a)) 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 0) (* (/ 1 a) (/ 1 a))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow a 2))) (+ (* (/ 1 a) (- (/ 1 a))) (* (/ 1 (pow a 2)) 1))) into (/ 1 (pow a 2)) * [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 (* a PI)) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* a PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* a PI)) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (* 1/2 (* a PI)))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* a PI))))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (pow (/ (* 1/2 PI) (pow a 5)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/9 (pow (/ (* 1/2 PI) (pow a 5)) 1/3)) 1) (+ (* (pow (* a (* 1/2 PI)) 1/3) (/ 0 1)) (* (- (* 1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3))) (/ 0 1)))) into (- (* 1/9 (pow (/ (* 1/2 PI) (pow a 5)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (pow (* a (* 1/2 PI)) 1/3) (/ 1 (pow a 2))) (+ (* (- (* 1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3))) 0) (* (- (* 1/9 (pow (/ (* 1/2 PI) (pow a 5)) 1/3))) 1))) into (* 8/9 (pow (/ (* 1/2 PI) (pow a 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 8/9 (pow (/ (* 1/2 PI) (pow a 5)) 1/3)) in a * [misc]taylor: Taking taylor expansion of 8/9 in a * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* 1/2 PI) (pow a 5)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* 1/2 PI) (pow a 5))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* 1/2 PI) (pow a 5)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* 1/2 PI) (pow a 5))) in a * [misc]taylor: Taking taylor expansion of (/ (* 1/2 PI) (pow a 5)) 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]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking 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) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 5 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))) into (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a)))))) into (* 1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (- (* 1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a))))))) into (- (* 1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a))))))) * [misc]backup-simplify: Simplify (- (* 1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a))))))) into (- (* 1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a))))))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* 1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 PI))) into (+ (log a) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (- (/ 1 a)) 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ 1 a) 0) (* 0 (/ 1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)) (* 0 (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 a) (/ 0 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) 0) (* 0 (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 (pow a 2))) (+ (* (/ 1 (pow a 2)) (- (/ 1 a))) (* 0 1)))) 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 (* a PI)) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 PI))) 3)) (pow (* 1/2 (* a PI)) 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 PI))) 1) (pow (* 2 0) 1)) (pow (* 1/2 (* a PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 (* a PI)) 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (* 1/2 (* a PI))))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* a PI))))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (pow (/ (* 1/2 PI) (pow a 8)) 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ 1 a) (/ 1 (pow a 2))) into (/ 1 (pow a 3)) * [misc]backup-simplify: Simplify (- (/ 1 (pow a 3))) into (- (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (+ 0 (- (/ 1 (pow a 3)))) into (- (/ 1 (pow a 3))) * [misc]backup-simplify: Simplify (- (/ (* -5/81 (pow (/ (* 1/2 PI) (pow a 8)) 1/3)) 1) (+ (* (pow (* a (* 1/2 PI)) 1/3) (/ (- (/ 1 (pow a 3))) 1)) (* (- (* 1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3))) (/ 0 1)) (* (- (* 1/9 (pow (/ (* 1/2 PI) (pow a 5)) 1/3))) (/ 0 1)))) into (* 76/81 (pow (/ (* 1/2 PI) (pow a 8)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow (* a (* 1/2 PI)) 1/3) 0) (+ (* (- (* 1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3))) (/ 1 (pow a 2))) (+ (* (- (* 1/9 (pow (/ (* 1/2 PI) (pow a 5)) 1/3))) 0) (* (* 76/81 (pow (/ (* 1/2 PI) (pow a 8)) 1/3)) 1)))) into (* 49/81 (pow (/ (* 1/2 PI) (pow a 8)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 49/81 (pow (/ (* 1/2 PI) (pow a 8)) 1/3)) in a * [misc]taylor: Taking taylor expansion of 49/81 in a * [misc]backup-simplify: Simplify 49/81 into 49/81 * [misc]taylor: Taking taylor expansion of (pow (/ (* 1/2 PI) (pow a 8)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* 1/2 PI) (pow a 8))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* 1/2 PI) (pow a 8)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* 1/2 PI) (pow a 8))) in a * [misc]taylor: Taking taylor expansion of (/ (* 1/2 PI) (pow a 8)) 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]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking 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) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 8) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 8 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 8 (log a)))) into (* 1/3 (- (log (* 1/2 PI)) (* 8 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 8 (log a))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 8 (log a))))) * [misc]backup-simplify: Simplify (* 8/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))))) into (* 8/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (* 8/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))))) into (* 8/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (+ (* (* 8/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 a))))))) (* 1 (/ 1 b))) (+ (- (* 1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 a)))))))) (* (exp (* 1/3 (+ (log (/ 1 a)) (log (* 1/2 PI))))) (* 1 (/ 1 (/ 1 b)))))) into (- (+ (* 8/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 a)))))) b)) (* (exp (* 1/3 (+ (log (/ 1 a)) (log (* 1/2 PI))))) b)) (* 1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 a)))))))) * [misc]approximate: Taking taylor expansion of (* (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) in a * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) in a * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 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]backup-simplify: Simplify (* (* 1/2 PI) b) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* b PI)) 0) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* b PI)))) into (* 1/3 (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* b PI))))) into (pow (* 1/2 (* b PI)) 1/3) * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)) in a * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 3) 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 (pow (/ 1 (- a)) 3) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (pow (* 1/2 (* b PI)) 1/3) 1) into (pow (* PI (* 1/2 b)) 1/3) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) in a * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (- b))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in a * [misc]taylor: Taking taylor expansion of (- b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (- b) into (- b) * [misc]backup-simplify: Simplify (/ 1 (- b)) into (/ -1 b) * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))) in a * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) 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)) 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)) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (* (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) in b * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* a PI)))) into (log (- (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* a PI))))) into (* 1/3 (log (- (* 1/2 (* a PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) into (pow (- (* 1/2 (* a PI))) 1/3) * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 3) 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 (pow (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (pow (- (* 1/2 (* a PI))) 1/3) -1) into (* -1 (pow (* a (* -1/2 PI)) 1/3)) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) 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)) 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)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 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 (* (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of (/ (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3))) in b * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* a PI)))) into (log (- (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* a PI))))) into (* 1/3 (log (- (* 1/2 (* a PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) into (pow (- (* 1/2 (* a PI))) 1/3) * [misc]taylor: Taking taylor expansion of (- (pow (/ 1 (- b)) 3) (pow (/ 1 (- a)) 3)) in b * [misc]taylor: Taking taylor expansion of (pow (/ 1 (- b)) 3) 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 (pow (/ 1 (- a)) 3) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (* -1 1) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (pow (- (* 1/2 (* a PI))) 1/3) -1) into (* -1 (pow (* a (* -1/2 PI)) 1/3)) * [misc]taylor: Taking taylor expansion of (* (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a))))) in b * [misc]taylor: Taking taylor expansion of (fma (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a)) (* (/ 1 (- b)) (/ 1 (- b)))) in b * [misc]taylor: Rewrote expression to (+ (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) (* (/ 1 (- b)) (/ 1 (- b)))) * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- a)) (/ 1 (- b))) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- a)) (/ 1 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (- b))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- b)) in b * [misc]taylor: Taking taylor expansion of (- b) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 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 (fma (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b)) (* (/ 1 (- a)) (/ 1 (- a)))) in b * [misc]taylor: Rewrote expression to (+ (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) (* (/ 1 (- a)) (/ 1 (- a)))) * [misc]taylor: Taking taylor expansion of (* (- (/ 1 (- b)) (/ 1 (- a))) (/ 1 (- b))) 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)) 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)) (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in b * [misc]taylor: Taking taylor expansion of (- a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* (* -1 (pow (* a (* -1/2 PI)) 1/3)) 1) into (* -1 (pow (* a (* -1/2 PI)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1 (pow (* a (* -1/2 PI)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1 in a * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (pow (* a (* -1/2 PI)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* a (* -1/2 PI))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* a (* -1/2 PI)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* a (* -1/2 PI))) in a * [misc]taylor: Taking taylor expansion of (* a (* -1/2 PI)) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* -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 (* 0 (* -1/2 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 (* -1/2 PI))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (- (* 1/2 PI)))) into (+ (log (- (* 1/2 PI))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (- (* 1/2 PI))) (log a))) into (* 1/3 (+ (log (- (* 1/2 PI))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a)))) into (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log 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) 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 (+ (* -1 0) (* (/ 1 a) -1)) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (- (/ 1 a)) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 (/ -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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 a) 0) into (/ 1 a) * [misc]backup-simplify: Simplify (+ (* 1 (- (/ 1 a))) (* (/ 1 a) 1)) 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 (* a PI)) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (- (* 1/2 (* a PI))) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (log (- (* 1/2 (* a PI)))))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) -1) (+ (* (* -1 (pow (* a (* -1/2 PI)) 1/3)) (/ 0 -1)))) into (* 1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1 (pow (* a (* -1/2 PI)) 1/3)) 0) (* (* 1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) 1)) into (* 1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* 1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow a 2)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow a 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow a 2)) 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]taylor: Taking taylor expansion of (pow 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]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 2 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))) into (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a))))) * [misc]backup-simplify: Simplify (* -1 (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a))))) into (* -1 (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a))))) * [misc]backup-simplify: Simplify (* -1 (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a))))) into (* -1 (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log 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 (/ 0 -1)) (* 0 (/ 0 -1)))) 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 (+ (* -1 0) (+ (* (/ 1 a) 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 2))) into (/ 1 (pow a 2)) * [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 (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (/ -1 a) 0) into (- (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* -1 0) (* (- (/ 1 a)) (/ -1 a))) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (/ 1 (pow a 2)) 0) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1 (/ 1 (pow a 2))) (+ (* (/ 1 a) (- (/ 1 a))) (* (/ 1 (pow a 2)) 1))) into (/ 1 (pow a 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) (+ (* 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 (* a PI)) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (- (* 1/2 (* a PI))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (* a PI))) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (- (* 1/2 (* a PI))))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (* -1/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3)) -1) (+ (* (* -1 (pow (* a (* -1/2 PI)) 1/3)) (/ 0 -1)) (* (* 1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) (/ 0 -1)))) into (* 1/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1 (pow (* a (* -1/2 PI)) 1/3)) (/ 1 (pow a 2))) (+ (* (* 1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) 0) (* (* 1/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3)) 1))) into (- (* 8/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3))) * [misc]taylor: Taking taylor expansion of (- (* 8/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3))) in a * [misc]taylor: Taking taylor expansion of (* 8/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3)) in a * [misc]taylor: Taking taylor expansion of 8/9 in a * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow a 5)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow a 5))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow a 5)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow a 5))) in a * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow a 5)) 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]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking 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) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log a)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 5 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a)))) into (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))))) into (* 1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (* 1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))))) into (* 1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* -1/2 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (- (* 1/2 PI)))) into (+ (log (- (* 1/2 PI))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (- (* 1/2 PI))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* (/ 1 a) 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (/ -1 a) 0) (* 0 (/ -1 a))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 a) (/ 0 (- a))) (* 0 (/ 0 (- a))))) into 0 * [misc]backup-simplify: Simplify (- 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 (- 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 (+ (* -1 0) (+ (* (- (/ 1 a)) 0) (* 0 (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* (/ 1 a) (/ 1 (pow a 2))) (+ (* (/ 1 (pow a 2)) (- (/ 1 a))) (* 0 1)))) 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 (* a PI)) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/2 PI)) 3)) (pow (- (* 1/2 (* a PI))) 3))) (* -3 (/ (* (pow (* 1 (* 1/2 PI)) 1) (pow (* 2 0) 1)) (pow (- (* 1/2 (* a PI))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 1/2 (* a PI))) 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (- (* 1/2 (* a PI)))))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (pow (/ (* -1/2 PI) (pow a 8)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (/ -1 a) (/ -1 a)) into (/ 1 (pow a 2)) * [misc]backup-simplify: Simplify (* (/ -1 a) (/ 1 (pow a 2))) into (/ -1 (pow a 3)) * [misc]backup-simplify: Simplify (- (/ -1 (pow a 3))) into (/ 1 (pow a 3)) * [misc]backup-simplify: Simplify (+ 0 (/ 1 (pow a 3))) into (/ 1 (pow a 3)) * [misc]backup-simplify: Simplify (- (/ (* -5/81 (pow (/ (* -1/2 PI) (pow a 8)) 1/3)) -1) (+ (* (* -1 (pow (* a (* -1/2 PI)) 1/3)) (/ (/ 1 (pow a 3)) -1)) (* (* 1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) (/ 0 -1)) (* (* 1/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3)) (/ 0 -1)))) into (- (* 76/81 (pow (/ (* -1/2 PI) (pow a 8)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (* -1 (pow (* a (* -1/2 PI)) 1/3)) 0) (+ (* (* 1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) (/ 1 (pow a 2))) (+ (* (* 1/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3)) 0) (* (- (* 76/81 (pow (/ (* -1/2 PI) (pow a 8)) 1/3))) 1)))) into (- (* 49/81 (pow (/ (* -1/2 PI) (pow a 8)) 1/3))) * [misc]taylor: Taking taylor expansion of (- (* 49/81 (pow (/ (* -1/2 PI) (pow a 8)) 1/3))) in a * [misc]taylor: Taking taylor expansion of (* 49/81 (pow (/ (* -1/2 PI) (pow a 8)) 1/3)) in a * [misc]taylor: Taking taylor expansion of 49/81 in a * [misc]backup-simplify: Simplify 49/81 into 49/81 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow a 8)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow a 8))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow a 8)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow a 8))) in a * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow a 8)) 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]taylor: Taking taylor expansion of (pow a 8) in a * [misc]taylor: Taking 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) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 8) (log a)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 8 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 8 (log a)))) into (* 1/3 (- (log (* -1/2 PI)) (* 8 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 8 (log a))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 8 (log a))))) * [misc]backup-simplify: Simplify (* 8/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a)))))) into (* 8/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (- (* 8/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a))))))) into (- (* 8/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a))))))) * [misc]backup-simplify: Simplify (- (* 8/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a))))))) into (- (* 8/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a))))))) * [misc]backup-simplify: Simplify (+ (* (- (* 8/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 (- a))))))))) (* 1 (/ 1 (- b)))) (+ (* 1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 (- a)))))))) (* (* -1 (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log (/ 1 (- a))))))) (* 1 (/ 1 (/ 1 (- b))))))) into (+ (* 8/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ -1 a)))))) b)) (+ (* (exp (* 1/3 (+ (log (/ -1 a)) (log (- (* 1/2 PI)))))) b) (* 1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ -1 a))))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in b * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) 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 a) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ PI a) 2) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 b in b * [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 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) 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 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]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 (/ (/ PI 2) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) 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 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]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 (/ (/ PI 2) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 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 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 1)) (pow (* 1/2 PI) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 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 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log 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 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 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 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking 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 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 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 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))))) into (- (* 1/9 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow b 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3))) in b * [misc]taylor: Taking taylor expansion of -5/81 in b * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 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 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) 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 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [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 b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* a PI)))) into (* 1/3 (log (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* a PI))))) into (pow (* 1/2 (* a PI)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) 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 (/ 1 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 (/ 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) 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 (/ (/ 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 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 PI) (/ 1 b)) into (* 1/2 (* b PI)) * [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 (log (- (* 1/2 (* b PI)))) into (log (- (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* b PI))))) into (* 1/3 (log (- (* 1/2 (* b PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) into (pow (- (* 1/2 (* b PI))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) 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 (/ 1 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 (/ 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) 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 (/ (/ 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 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 PI) (/ 1 b)) into (* 1/2 (* b PI)) * [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 (log (- (* 1/2 (* b PI)))) into (log (- (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* b PI))))) into (* 1/3 (log (- (* 1/2 (* b PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) into (pow (- (* 1/2 (* b PI))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 (* b PI))) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (* b PI))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 (* b PI)))) in b * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* b PI))) in b * [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 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (- (* 1/2 PI)))) into (+ (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (- (* 1/2 PI))) (log b))) into (* 1/3 (+ (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* 1/2 (* b PI)) (/ 0 (/ 1 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 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (- (* 1/2 (* b PI))) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (- (* 1/2 (* b PI)))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* PI -1/2) (pow b 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* PI -1/2) (pow b 2)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI -1/2) (pow b 2)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI -1/2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI -1/2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI -1/2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI -1/2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI -1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking 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 -1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))) into (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) * [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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (- (* 1/2 PI)))) into (+ (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (- (* 1/2 PI))) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* 1/2 (* b PI)) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (- (* 1/2 (* b PI))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (* b PI))) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (- (* 1/2 (* b PI))))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* PI -1/2) (pow b 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* PI -1/2) (pow b 5)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI -1/2) (pow b 5)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI -1/2) (pow b 5))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI -1/2) (pow b 5)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI -1/2) (pow b 5))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI -1/2) (pow b 5)) in b * [misc]taylor: Taking taylor expansion of (* PI -1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow b 5) in b * [misc]taylor: Taking 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 -1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 5 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))) into (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b))))))) (pow (* 1 (/ 1 a)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b))))))) (* 1 (/ 1 a))) (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log (/ 1 b))))))) into (- (exp (* 1/3 (+ (log (/ 1 b)) (log (- (* 1/2 PI)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b)))))) (pow a 2))) (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b)))))) a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in b * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) 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 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 a)) into (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* a PI)) 2) into (* -1/2 (* a PI)) * [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 (- b) in b * [misc]taylor: Taking 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 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 (* a PI)) 0) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* a PI)))) into (log (- (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* a PI))))) into (* 1/3 (log (- (* 1/2 (* a PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) into (pow (- (* 1/2 (* a PI))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) 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 (/ 1 (- 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 (/ 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) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 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 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 (- 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 PI) (/ -1 b)) into (* -1/2 (* b PI)) * [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 (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* b PI)))) into (* 1/3 (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* b PI))))) into (pow (* 1/2 (* b PI)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) 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 (/ 1 (- 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 (/ 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) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 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 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 (- 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 PI) (/ -1 b)) into (* -1/2 (* b PI)) * [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 (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* b PI)))) into (* 1/3 (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* b PI))))) into (pow (* 1/2 (* b PI)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* 1/2 (* b PI)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/2 (* b PI))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/2 (* b PI)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* 1/2 (* b PI))) in b * [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 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log b) (log (* 1/2 PI)))) into (* 1/3 (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log b) (log (* 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1/2 (* b PI)) (/ 0 (/ -1 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 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* b PI)) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (* 1/2 (* b PI))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* b PI))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI 1/2) (pow b 2)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI 1/2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI 1/2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI 1/2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI 1/2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI 1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking 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 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))) into (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log b) (log (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 PI) (/ 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 (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1/2 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* b PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* b PI)) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 (* b PI)))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* b PI))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI 1/2) (pow b 5)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI 1/2) (pow b 5))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI 1/2) (pow b 5)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI 1/2) (pow b 5))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI 1/2) (pow b 5)) in b * [misc]taylor: Taking taylor expansion of (* PI 1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow b 5) in b * [misc]taylor: Taking 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 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 5 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))) into (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 (- b)))))))) (pow (* 1 (/ 1 (- a))) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 (- b)))))))) (* 1 (/ 1 (- a)))) (exp (* 1/3 (+ (log (/ 1 (- b))) (log (* 1/2 PI))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ -1 b)))))) a)) (exp (* 1/3 (+ (log (/ -1 b)) (log (* 1/2 PI)))))) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ -1 b)))))) (pow a 2)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in b * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) 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 a) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ PI a) into (/ PI a) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (/ PI a) 2) into (* 1/2 (/ PI a)) * [misc]taylor: Taking taylor expansion of (/ (/ PI 2) 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 b in b * [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 (- (* 1/2 PI))) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) 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 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]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 (/ (/ PI 2) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI a) 2) (/ (/ PI 2) b)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI a) 2) (/ (/ PI 2) b))) 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 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]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 (/ (/ PI 2) 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 b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (/ (* 1/2 PI) b) into (* 1/2 (/ PI b)) * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 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 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) 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 (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 1)) (pow (* 1/2 PI) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) b) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 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 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log 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 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 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 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 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 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking 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 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a))))))) 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 (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)) (* 0 (/ 0 2)) (* 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 b) (+ (* (* 1/2 (/ PI b)) (/ 0 b)) (* 0 (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 (- (* 1/2 (/ PI b)))) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into (/ -1/3 (pow b 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow b 3))) (+ (* 0 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (- (log (* 1/2 PI)) (log a)))))) into (- (* 1/9 (/ 1 (pow b 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow b 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3))) in b * [misc]taylor: Taking taylor expansion of -5/81 in b * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (pow b 3)) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (* 1/2 PI)) (log a))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (* 1/2 PI)) (log a)) in b * [misc]taylor: Taking taylor expansion of (log (* 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 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]taylor: Taking taylor expansion of (log a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (log (* 1/2 PI)) (- (log a))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (pow b 3) in b * [misc]taylor: Taking taylor expansion of b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) 1) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (* 1/2 PI)) (log a)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 PI) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1/2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 1/2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1/2 PI) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow a 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow a 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow a 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 1/2 PI)) (log a)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in b * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) 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 (/ 1 a)) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 a) in b * [misc]taylor: Taking taylor expansion of a in b * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ PI (/ 1 a)) into (* a PI) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* a PI) 2) into (* 1/2 (* a PI)) * [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 b in b * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (+ (* 1/2 (* a PI)) 0) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* a PI)))) into (* 1/3 (log (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* a PI))))) into (pow (* 1/2 (* a PI)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) 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 (/ 1 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 (/ 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) 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 (/ (/ 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 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 PI) (/ 1 b)) into (* 1/2 (* b PI)) * [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 (log (- (* 1/2 (* b PI)))) into (log (- (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* b PI))))) into (* 1/3 (log (- (* 1/2 (* b PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) into (pow (- (* 1/2 (* b PI))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 a)) 2) (/ (/ PI 2) (/ 1 b)))) 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 (/ 1 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 (/ 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) 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 (/ (/ 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 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 PI) (/ 1 b)) into (* 1/2 (* b PI)) * [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 (log (- (* 1/2 (* b PI)))) into (log (- (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* b PI))))) into (* 1/3 (log (- (* 1/2 (* b PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) into (pow (- (* 1/2 (* b PI))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 (* b PI))) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (* b PI))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 (* b PI)))) in b * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* b PI))) in b * [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 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (- (* 1/2 PI)))) into (+ (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (- (* 1/2 PI))) (log b))) into (* 1/3 (+ (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 0 2)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 b) (/ 0 b)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* 1/2 (* b PI)) (/ 0 (/ 1 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 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (- (* 1/2 (* b PI))) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (- (* 1/2 (* b PI)))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* PI -1/2) (pow b 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* PI -1/2) (pow b 2)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI -1/2) (pow b 2)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI -1/2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI -1/2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI -1/2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI -1/2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI -1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking 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 -1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))) into (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log b)))))) * [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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (- (* 1/2 PI)))) into (+ (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (- (* 1/2 PI))) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* 1/2 PI) (/ 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)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 b)) (+ (* (* 1/2 (* b PI)) (/ 0 (/ 1 b))) (* 0 (/ 0 (/ 1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (- (* 1/2 (* b PI))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (* b PI))) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (- (* 1/2 (* b PI))))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* PI -1/2) (pow b 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* PI -1/2) (pow b 5)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI -1/2) (pow b 5)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI -1/2) (pow b 5))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI -1/2) (pow b 5)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI -1/2) (pow b 5))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI -1/2) (pow b 5)) in b * [misc]taylor: Taking taylor expansion of (* PI -1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of -1/2 in b * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]taylor: Taking taylor expansion of (pow b 5) in b * [misc]taylor: Taking 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 -1/2) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log b)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 5 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))) into (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b))))))) (pow (* 1 (/ 1 a)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b))))))) (* 1 (/ 1 a))) (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log (/ 1 b))))))) into (- (exp (* 1/3 (+ (log (/ 1 b)) (log (- (* 1/2 PI)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b)))))) (pow a 2))) (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b)))))) a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in (a b) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in b * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) 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 (/ 1 (- a))) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of (/ 1 (- 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 a)) into (* -1 (* a PI)) * [misc]taylor: Taking taylor expansion of 2 in b * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 (* a PI)) 2) into (* -1/2 (* a PI)) * [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 (- b) in b * [misc]taylor: Taking 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 PI) -1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (+ (* -1/2 (* a PI)) 0) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* a PI)))) into (log (- (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* a PI))))) into (* 1/3 (log (- (* 1/2 (* a PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) into (pow (- (* 1/2 (* a PI))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) 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 (/ 1 (- 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 (/ 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) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 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 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 (- 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 PI) (/ -1 b)) into (* -1/2 (* b PI)) * [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 (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* b PI)))) into (* 1/3 (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* b PI))))) into (pow (* 1/2 (* b PI)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) in a * [misc]taylor: Rewrote expression to (pow (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (/ (/ PI (/ 1 (- a))) 2) (/ (/ PI 2) (/ 1 (- b))))) 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 (/ 1 (- 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 (/ 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) into (* -1 PI) * [misc]taylor: Taking taylor expansion of 2 in a * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (/ (* -1 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 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 (- 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 PI) (/ -1 b)) into (* -1/2 (* b PI)) * [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 (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* b PI)))) into (* 1/3 (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* b PI))))) into (pow (* 1/2 (* b PI)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* 1/2 (* b PI)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/2 (* b PI))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/2 (* b PI)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* 1/2 (* b PI))) in b * [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 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log b) (log (* 1/2 PI)))) into (* 1/3 (+ (log b) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log b) (log (* 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 (- b) into (- b) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 b) (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1/2 (* b PI)) (/ 0 (/ -1 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 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* b PI)) 1)))) 1) into (/ -1 b) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 b)) (* 0 (log (* 1/2 (* b PI))))) into (- (* 1/3 (/ 1 b))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* b PI))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 1) 1)))) into (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* PI 1/2) (pow b 2)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/3 in b * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI 1/2) (pow b 2)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI 1/2) (pow b 2))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI 1/2) (pow b 2)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI 1/2) (pow b 2))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI 1/2) (pow b 2)) in b * [misc]taylor: Taking taylor expansion of (* PI 1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow b 2) in b * [misc]taylor: Taking 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 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 2 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))) into (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log b)))))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log b)) (log (* 1/2 PI))) into (+ (log b) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log b) (log (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log b) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 PI) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 2) (+ (* (* -1/2 PI) (/ 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 (- (+ (* (/ -1 b) (/ 0 (- b))) (* 0 (/ 0 (- b))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 b)) (+ (* (* -1/2 (* b PI)) (/ 0 (/ -1 b))) (* 0 (/ 0 (/ -1 b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* b PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* b PI)) 1)))) 2) into (/ -1/2 (pow b 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow b 2))) (+ (* 0 (/ -1 b)) (* 0 (log (* 1/2 (* b PI)))))) into (- (* 1/6 (/ 1 (pow b 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* b PI))))) (+ (* (/ (pow (- (* 1/3 (/ 1 b))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow b 2)))) 1) 1)))) into (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* PI 1/2) (pow b 5)) 1/3)) in b * [misc]taylor: Taking taylor expansion of -1/9 in b * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* PI 1/2) (pow b 5)) 1/3) in b * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* PI 1/2) (pow b 5))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* PI 1/2) (pow b 5)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* PI 1/2) (pow b 5))) in b * [misc]taylor: Taking taylor expansion of (/ (* PI 1/2) (pow b 5)) in b * [misc]taylor: Taking taylor expansion of (* PI 1/2) in b * [misc]taylor: Taking taylor expansion of PI in b * [misc]backup-simplify: Simplify PI into PI * [misc]taylor: Taking taylor expansion of 1/2 in b * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]taylor: Taking taylor expansion of (pow b 5) in b * [misc]taylor: Taking 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 1/2) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log b)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 5 (log b))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))) into (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log b)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 (- b)))))))) (pow (* 1 (/ 1 (- a))) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 (- b)))))))) (* 1 (/ 1 (- a)))) (exp (* 1/3 (+ (log (/ 1 (- b))) (log (* 1/2 PI))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ -1 b)))))) a)) (exp (* 1/3 (+ (log (/ -1 b)) (log (* 1/2 PI)))))) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ -1 b)))))) (pow a 2)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) in a * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) 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]backup-simplify: Simplify (+ 0 (* 1/2 PI)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (log a))) into (* 1/3 (- (log (* 1/2 PI)) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) into (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) 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]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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) 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]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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 PI))) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (- (* 1/2 PI))) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 PI))) in a * [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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (- (* 1/2 PI))) (- (log b))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 (/ PI a))) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (- (log (- (* 1/2 PI))) (log b)))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) a)) * [misc]taylor: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) a)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) a) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 PI))) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (- (* 1/2 PI))) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 PI))) in a * [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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (- (* 1/2 PI))) (- (log b))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log 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 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) 1) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 PI))) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))))) 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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 PI))) (log b)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 1) 1)))) 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 (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 (/ PI a))) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log (- (* 1/2 PI))) (log b))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 2))) * [misc]taylor: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 2)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 PI))) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (- (* 1/2 PI))) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 PI))) in a * [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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (- (* 1/2 PI))) (- (log b))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (pow 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) 1) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 PI))) (log b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 PI))) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 PI))) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 PI))) (log b))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) 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]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (* 1/2 (/ PI a))) 3)) (pow (- (* 1/2 PI)) 3))) (* -3 (/ (* (pow (* 1 (* 1/2 (/ PI a))) 1) (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 1/2 PI)) 1)))) 6) into (/ -1/3 (pow a 3)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log b)) (log (- (* 1/2 PI)))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/3 (pow a 3))) (+ (* 0 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (- (log (- (* 1/2 PI))) (log b)))))) into (- (* 1/9 (/ 1 (pow a 3)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow a 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) * [misc]taylor: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3))) in a * [misc]taylor: Taking taylor expansion of -5/81 in a * [misc]backup-simplify: Simplify -5/81 into -5/81 * [misc]taylor: Taking taylor expansion of (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (pow a 3)) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (- (log (- (* 1/2 PI))) (log b))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (- (log (- (* 1/2 PI))) (log b)) in a * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 PI))) in a * [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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]taylor: Taking taylor expansion of (log b) in a * [misc]taylor: Taking taylor expansion of b in a * [misc]backup-simplify: Simplify b into b * [misc]backup-simplify: Simplify (log b) into (log b) * [misc]backup-simplify: Simplify (- (log b)) into (- (log b)) * [misc]backup-simplify: Simplify (+ (log (- (* 1/2 PI))) (- (log b))) into (- (log (- (* 1/2 PI))) (log b)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (- (* 1/2 PI))) (log b))) into (* 1/3 (- (log (- (* 1/2 PI))) (log b))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]taylor: Taking taylor expansion of (pow a 3) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) 1) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 PI)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow b 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (- (* 1/2 PI))) (log b)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 PI))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow b 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow b 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 PI))) (log b))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- (* 1/2 PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (- (* 1/2 PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (* 1/2 PI)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow b 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow b 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow b 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (- (* 1/2 PI))) (log b)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) into (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) in a * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 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]backup-simplify: Simplify (* (* 1/2 PI) (* -1 b)) into (* -1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ (* -1/2 (* b PI)) 0) into (- (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* b PI)))) into (log (- (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* b PI))))) into (* 1/3 (log (- (* 1/2 (* b PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* b PI)))))) into (pow (- (* 1/2 (* b PI))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* a PI)))) into (* 1/3 (log (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* a PI))))) into (pow (* 1/2 (* a PI)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a)))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 1 a))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 b)) (/ (/ PI 2) (/ 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (* a PI))) into (* 1/2 (* a PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* a PI))) into (log (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* a PI)))) into (* 1/3 (log (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* a PI))))) into (pow (* 1/2 (* a PI)) 1/3) * [misc]taylor: Taking taylor expansion of (pow (* 1/2 (* a PI)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* 1/2 (* a PI))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* 1/2 (* a PI)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* 1/2 (* a PI))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (* a 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 (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI * [misc]backup-simplify: Simplify (+ (* 1/2 PI) (* 0 0)) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 PI))) into (+ (log a) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (* 1/3 (+ (log a) (log (* 1/2 PI)))) into (* 1/3 (+ (log a) (log (* 1/2 PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log a) (log (* 1/2 PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log a) (log (* 1/2 PI))))) into (exp (* 1/3 (+ (log a) (log (* 1/2 PI))))) * [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 (* a PI)) (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 PI) 0) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (* 1/2 PI))) 1)) (pow (* 1/2 (* a PI)) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (log (* 1/2 (* a PI))))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* a PI))))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* 1/2 PI) (pow a 2)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* 1/2 PI) (pow a 2)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* 1/2 PI) (pow a 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* 1/2 PI) (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* 1/2 PI) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ (* 1/2 PI) (pow a 2)) 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]taylor: Taking taylor expansion of (pow 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]backup-simplify: Simplify (* 1/2 PI) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 2 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a)))) into (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log a)))))) * [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 (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1/2 PI) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (* 1/2 PI))) into (+ (log a) (log (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log a) (log (* 1/2 PI))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log a) (log (* 1/2 PI))))) (+ (* (/ (pow 0 1) 1)))) 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 (* a PI)) (/ 0 (/ 1 a))) (* 0 (/ 0 (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (* 1/2 PI))) 2)) (pow (* 1/2 (* a PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 1/2 (* a PI)) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (* 1/2 (* a PI)))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* 1/2 (* a PI))))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (pow (/ (* 1/2 PI) (pow a 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* 1/2 PI) (pow a 5)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* 1/2 PI) (pow a 5)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* 1/2 PI) (pow a 5))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* 1/2 PI) (pow a 5)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* 1/2 PI) (pow a 5))) in a * [misc]taylor: Taking taylor expansion of (/ (* 1/2 PI) (pow a 5)) 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]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking 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) into (* 1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* 1/2 PI) 1) into (* 1/2 PI) * [misc]backup-simplify: Simplify (log (* 1/2 PI)) into (log (* 1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log a)) (log (* 1/2 PI))) into (- (log (* 1/2 PI)) (* 5 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))) into (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a))))) into (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 a))))))) (pow (* 1 (/ 1 b)) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 a))))))) (* 1 (/ 1 b))) (exp (* 1/3 (+ (log (/ 1 a)) (log (* 1/2 PI))))))) into (- (exp (* 1/3 (+ (log (/ 1 a)) (log (* 1/2 PI))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 a)))))) b)) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 a)))))) (pow b 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) in (b a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) in a * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 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]backup-simplify: Simplify (* (* 1/2 PI) b) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (+ (* 1/2 (* b PI)) 0) into (* 1/2 (* b PI)) * [misc]backup-simplify: Simplify (log (* 1/2 (* b PI))) into (log (* 1/2 (* b PI))) * [misc]backup-simplify: Simplify (* 1/3 (log (* 1/2 (* b PI)))) into (* 1/3 (log (* 1/2 (* b PI)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* 1/2 (* b PI))))) into (pow (* 1/2 (* b PI)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* a PI)))) into (log (- (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* a PI))))) into (* 1/3 (log (- (* 1/2 (* a PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) into (pow (- (* 1/2 (* a PI))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))) in b * [misc]taylor: Rewrote expression to (pow (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a))))))) in b * [misc]taylor: Taking taylor expansion of (* 1/3 (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 1 (- a)))))) in b * [misc]taylor: Taking taylor expansion of 1/3 in b * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (fma (/ PI 2) (/ -1 (/ 1 (- b))) (/ (/ PI 2) (/ 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 (* a PI)) * [misc]backup-simplify: Simplify (+ 0 (* -1/2 (* a PI))) into (- (* 1/2 (* a PI))) * [misc]backup-simplify: Simplify (log (- (* 1/2 (* a PI)))) into (log (- (* 1/2 (* a PI)))) * [misc]backup-simplify: Simplify (* 1/3 (log (- (* 1/2 (* a PI))))) into (* 1/3 (log (- (* 1/2 (* a PI))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) into (pow (- (* 1/2 (* a PI))) 1/3) * [misc]taylor: Taking taylor expansion of (pow (- (* 1/2 (* a PI))) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- (* 1/2 (* a PI))))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- (* 1/2 (* a PI)))) in a * [misc]taylor: Taking taylor expansion of (- (* 1/2 (* a PI))) in a * [misc]taylor: Taking taylor expansion of (* 1/2 (* a 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 (* a PI) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of PI in a * [misc]backup-simplify: Simplify PI into PI * [misc]backup-simplify: Simplify (* 0 PI) into 0 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) 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 (log (- (* 1/2 PI))) into (log (- (* 1/2 PI))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (- (* 1/2 PI)))) into (+ (log (- (* 1/2 PI))) (log a)) * [misc]backup-simplify: Simplify (* 1/3 (+ (log (- (* 1/2 PI))) (log a))) into (* 1/3 (+ (log (- (* 1/2 PI))) (log a))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a)))) into (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a)))) into (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a)))) * [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 (* a PI)) (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* 1/2 PI) 0) into (* 1/2 PI) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* 1/2 PI)) 1)) (pow (- (* 1/2 (* a PI))) 1)))) 1) into (/ -1 a) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1 a)) (* 0 (log (- (* 1/2 (* a PI)))))) into (- (* 1/3 (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 1) 1)))) into (* -1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/3 (pow (/ (* -1/2 PI) (pow a 2)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/3 in a * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow a 2)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow a 2))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow a 2)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow a 2))) in a * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow a 2)) 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]taylor: Taking taylor expansion of (pow 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]backup-simplify: Simplify (* -1/2 PI) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 2) (log a)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 2 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))) into (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))))) into (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log a)))))) * [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 (- (* 1/2 PI)) into (- (* 1/2 PI)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- (* 1/2 PI)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) (log (- (* 1/2 PI)))) into (+ (log (- (* 1/2 PI))) (log a)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (+ (log (- (* 1/2 PI))) (log a)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log a)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (* a PI)) (/ 0 (/ -1 a))) (* 0 (/ 0 (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* 1/2 PI)) 2)) (pow (- (* 1/2 (* a PI))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- (* 1/2 (* a PI))) 1)))) 2) into (/ -1/2 (pow a 2)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/2 (pow a 2))) (+ (* 0 (/ -1 a)) (* 0 (log (- (* 1/2 (* a PI))))))) into (- (* 1/6 (/ 1 (pow a 2)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (- (* 1/2 (* a PI)))))) (+ (* (/ (pow (- (* 1/3 (/ 1 a))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow a 2)))) 1) 1)))) into (* -1/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3)) * [misc]taylor: Taking taylor expansion of (* -1/9 (pow (/ (* -1/2 PI) (pow a 5)) 1/3)) in a * [misc]taylor: Taking taylor expansion of -1/9 in a * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]taylor: Taking taylor expansion of (pow (/ (* -1/2 PI) (pow a 5)) 1/3) in a * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (* -1/2 PI) (pow a 5))))) in a * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (* -1/2 PI) (pow a 5)))) in a * [misc]taylor: Taking taylor expansion of 1/3 in a * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (* -1/2 PI) (pow a 5))) in a * [misc]taylor: Taking taylor expansion of (/ (* -1/2 PI) (pow a 5)) 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]taylor: Taking taylor expansion of (pow a 5) in a * [misc]taylor: Taking 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) into (* -1/2 PI) * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ (* -1/2 PI) 1) into (* -1/2 PI) * [misc]backup-simplify: Simplify (log (* -1/2 PI)) into (log (* -1/2 PI)) * [misc]backup-simplify: Simplify (+ (* (- 5) (log a)) (log (* -1/2 PI))) into (- (log (* -1/2 PI)) (* 5 (log a))) * [misc]backup-simplify: Simplify (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a)))) into (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a))))) into (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a)))))) into (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log a)))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 (- a)))))))) (pow (* 1 (/ 1 (- b))) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 (- a)))))))) (* 1 (/ 1 (- b)))) (exp (* 1/3 (+ (log (- (* 1/2 PI))) (log (/ 1 (- a)))))))) into (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ -1 a)))))) b)) (exp (* 1/3 (+ (log (/ -1 a)) (log (- (* 1/2 PI))))))) (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ -1 a)))))) (pow b 2)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ (/ PI -2) b) (/ (/ PI a) 2))) (/ (/ (fma (- a) (* a a) (pow b 3)) (fma b (- b a) (* a a))) (fma a (+ a b) (* b b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (pow (/ (cbrt (+ (/ (/ PI -2) b) (/ (/ PI a) 2))) (/ (/ (fma (- a) (* a a) (pow b 3)) (fma b (- b a) (* a a))) (fma a (+ a b) (* b b)))) 1))) * * * * [misc]progress: [ 4 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (46 enodes) * * [misc]simplify: iters left: 4 (107 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ (/ PI -2) b) (/ (/ PI a) 2))) (/ (/ (fma (- a) (* a a) (pow b 3)) (fma b (- b a) (* a a))) (fma a (+ a b) (* b b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (pow (/ (cbrt (+ (/ (/ PI -2) b) (/ (/ PI a) 2))) (/ (/ (fma (- a) (* a a) (pow b 3)) (fma b (- b a) (* a a))) (fma a (+ a b) (* b b)))) 1))) * * * * [misc]progress: [ 5 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (log (- (pow b 3) (pow a 3)))) (+ (log (fma (+ a b) a (* b b))) (log (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (- (log (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (- (- (log (fma (* a a) (- a) (pow b 3))) (log (fma (+ a b) a (* b b)))) (log (fma (- b a) b (* a a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (exp (- (log (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (- (- (log (fma (* a a) (- a) (pow b 3))) (log (fma (+ a b) a (* b b)))) (log (fma (- b a) b (* a a)))))))) * * * * [misc]progress: [ 7 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (log (- (pow b 3) (pow a 3)))) (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (103 enodes) * * [misc]simplify: iters left: 3 (230 enodes) * [exit]simplify: Simplified to (- (log (cbrt (+ (/ (/ PI a) 2) (/ (/ PI -2) b)))) (- (log (fma (* a a) (- a) (pow b 3))) (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (exp (- (log (cbrt (+ (/ (/ PI a) 2) (/ (/ PI -2) b)))) (- (log (fma (* a a) (- a) (pow b 3))) (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))))) * * * * [misc]progress: [ 8 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (+ (log (fma (+ a b) a (* b b))) (log (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (- (log (fma (+ a b) a (* b b))) (- (log (fma (- a) (* a a) (pow b 3))) (log (fma (- b a) b (* a a)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (exp (+ (log (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (- (log (fma (+ a b) a (* b b))) (- (log (fma (- a) (* a a) (pow b 3))) (log (fma (- b a) b (* a a))))))))) * * * * [misc]progress: [ 9 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (log (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (25 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (- (log (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (- (log (fma (* a a) (- a) (pow b 3))) (log (* (fma (+ a b) a (* b b)) (fma b (- b a) (* a a)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (exp (- (log (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (- (log (fma (* a a) (- a) (pow b 3))) (log (* (fma (+ a b) a (* b b)) (fma b (- b a) (* a a))))))))) * * * * [misc]progress: [ 10 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 129 ] 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))) (- (pow b 3) (pow a 3)))) (* (* (* (fma (+ a b) a (* b b)) (fma (+ a b) a (* b b))) (fma (+ a b) a (* b b))) (* (* (fma (- b a) b (* a a)) (fma (- b a) b (* a a))) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (28 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (199 enodes) * [exit]simplify: Simplified to (* (* (pow (fma (- b a) b (* a a)) 3) (pow (fma (+ a b) a (* b b)) 3)) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (pow (fma (- a) (* a a) (pow b 3)) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (cbrt (* (* (pow (fma (- b a) b (* a a)) 3) (pow (fma (+ a b) a (* b b)) 3)) (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (pow (fma (- a) (* a a) (pow b 3)) 3)))))) * * * * [misc]progress: [ 13 / 129 ] 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))) (- (pow b 3) (pow a 3)))) (* (* (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (26 enodes) * * [misc]simplify: iters left: 5 (59 enodes) * * [misc]simplify: iters left: 4 (191 enodes) * [exit]simplify: Simplified to (* (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (pow (fma (* a a) (- a) (pow b 3)) 3)) (pow (* (fma (+ a b) a (* b b)) (fma b (- b a) (* a a))) 3)) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (cbrt (* (/ (fma (/ -1 b) (/ PI 2) (/ PI (* a 2))) (pow (fma (* a a) (- a) (pow b 3)) 3)) (pow (* (fma (+ a b) a (* b b)) (fma b (- b a) (* a a))) 3))))) * * * * [misc]progress: [ 14 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (* (* (* (fma (+ a b) a (* b b)) (fma (+ a b) a (* b b))) (fma (+ a b) a (* b b))) (* (* (fma (- b a) b (* a a)) (fma (- b a) b (* a a))) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (29 enodes) * * [misc]simplify: iters left: 5 (65 enodes) * * [misc]simplify: iters left: 4 (212 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (fma (- a) (* a a) (pow b 3))) (* (pow (fma (+ a b) a (* b b)) 3) (pow (fma (- b a) b (* a a)) 3))) (* (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (fma (- a) (* a a) (pow b 3))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (fma (- a) (* a a) (pow b 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (cbrt (* (* (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (fma (- a) (* a a) (pow b 3))) (* (pow (fma (+ a b) a (* b b)) 3) (pow (fma (- b a) b (* a a)) 3))) (* (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (fma (- a) (* a a) (pow b 3))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (fma (- a) (* a a) (pow b 3)))))))) * * * * [misc]progress: [ 15 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (* (* (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))) * * [misc]simplify: iters left: 6 (27 enodes) * * [misc]simplify: iters left: 5 (64 enodes) * * [misc]simplify: iters left: 4 (198 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))) (fma (- a) (* a a) (pow b 3))) (pow (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) 3)) (* (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))) (fma (- a) (* a a) (pow b 3))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))) (fma (- a) (* a a) (pow b 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (cbrt (* (* (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))) (fma (- a) (* a a) (pow b 3))) (pow (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))) 3)) (* (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))) (fma (- a) (* a a) (pow b 3))) (/ (cbrt (fma (/ -1 b) (/ PI 2) (/ PI (* a 2)))) (fma (- a) (* a a) (pow b 3)))))))) * * * * [misc]progress: [ 16 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (* a a))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (272 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2)))) (/ (/ (fma (* a a) (- a) (pow b 3)) (* a a)) (fma a (+ a b) (* b b)))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (+ (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (* (- b a) b))) (/ (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2)))) (/ (/ (fma (* a a) (- a) (pow b 3)) (* a a)) (fma a (+ a b) (* b b))))))) * * * * [misc]progress: [ 21 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (* a a) (fma (+ a b) a (* b b)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (104 enodes) * * [misc]simplify: iters left: 3 (307 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ PI (* a 2)) (/ PI (* -2 b)))) (/ (/ (fma (- a) (* a a) (pow b 3)) (fma (+ a b) a (* b b))) (* a a))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (+ (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (* (- b a) b) (fma (+ a b) a (* b b)))) (/ (cbrt (+ (/ PI (* a 2)) (/ PI (* -2 b)))) (/ (/ (fma (- a) (* a a) (pow b 3)) (fma (+ a b) a (* b b))) (* a a)))))) * * * * [misc]progress: [ 22 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (fma (+ a b) a (* b b)) (* a a)) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (225 enodes) * [exit]simplify: Simplified to (* (/ (fma (+ b a) a (* b b)) (/ (fma (- a) (* a a) (pow b 3)) (* a a))) (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (+ (* (* (fma (+ a b) a (* b b)) (* (- b a) b)) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (* (/ (fma (+ b a) a (* b b)) (/ (fma (- a) (* a a) (pow b 3)) (* a a))) (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2)))))))) * * * * [misc]progress: [ 23 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* a a) (fma (+ a b) a (* b b))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (99 enodes) * * [misc]simplify: iters left: 3 (249 enodes) * [exit]simplify: Simplified to (* (/ (* a a) (/ (fma (* a a) (- a) (pow b 3)) (fma (+ a b) a (* b b)))) (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2))))) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (+ (* (* (* (- b a) b) (fma (+ a b) a (* b b))) (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (* (/ (* a a) (/ (fma (* a a) (- a) (pow b 3)) (fma (+ a b) a (* b b)))) (cbrt (+ (/ PI (* -2 b)) (/ PI (* a 2)))))))) * * * * [misc]progress: [ 24 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (- b a) b (* a a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (12 enodes) * [exit]simplify: Simplified to (fma (- b a) b (* a a)) * [misc]simplify: Simplified (2 2 2) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (fma (+ a b) a (* b b))) (fma (- b a) b (* a a))))) * * * * [misc]progress: [ 25 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (cbrt (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (fma (* a a) (- a) (pow b 3)))) (cbrt (/ (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (fma (* a a) (- a) (pow b 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (* (cbrt (/ (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (fma (* a a) (- a) (pow b 3)))) (cbrt (/ (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (fma (* a a) (- a) (pow b 3))))) (* (cbrt (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 26 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) * * [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 (64 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (fma (* a a) (- a) (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (sqrt (/ (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (fma (* a a) (- a) (pow b 3)))) (* (sqrt (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 27 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (* (cbrt (- (pow b 3) (pow a 3))) (cbrt (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (* (cbrt (fma (* a a) (- a) (pow b 3))) (cbrt (fma (* a a) (- a) (pow b 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (* (cbrt (fma (* a a) (- a) (pow b 3))) (cbrt (fma (* a a) (- a) (pow b 3))))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (cbrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 28 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (sqrt (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (sqrt (fma (* a a) (- a) (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (sqrt (fma (* a a) (- a) (pow b 3)))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 29 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (116 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))))) (fma (+ a b) a (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))))) (fma (+ a b) a (* b b))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- b a)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 30 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (cbrt (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 31 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (+ (sqrt (pow b 3)) (sqrt (pow a 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (+ (sqrt (pow a 3)) (sqrt (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (* (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))))) (+ (sqrt (pow a 3)) (sqrt (pow b 3)))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (sqrt (pow b 3)) (sqrt (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 32 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (cbrt (* (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))) (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b)))))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 33 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (cbrt (- (pow b 3) (pow a 3))) (cbrt (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (* (cbrt (fma (- a) (* a a) (pow b 3))) (cbrt (fma (- a) (* a a) (pow b 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (* (cbrt (fma (- a) (* a a) (pow b 3))) (cbrt (fma (- a) (* a a) (pow b 3))))) (* (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (cbrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 34 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (fma (- a) (* a a) (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (sqrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (fma (- a) (* a a) (pow b 3)))) (* (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 35 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (fma a (+ a b) (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (fma a (+ a b) (* b b))) (* (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- b a)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 36 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (cbrt (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (* (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 37 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ (sqrt (pow b 3)) (sqrt (pow a 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (+ (sqrt (pow a 3)) (sqrt (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (+ (sqrt (pow a 3)) (sqrt (pow b 3)))) (* (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (sqrt (pow b 3)) (sqrt (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 38 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (cbrt (sqrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (* (/ (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 39 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (* (cbrt (- (pow b 3) (pow a 3))) (cbrt (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fma (* a a) (- a) (pow b 3)))) (cbrt (fma (* a a) (- a) (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (/ 1 (cbrt (fma (* a a) (- a) (pow b 3)))) (cbrt (fma (* a a) (- a) (pow b 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 40 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (sqrt (- (pow b 3) (pow a 3)))) * * [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 (35 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (fma (* a a) (- a) (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ 1 (sqrt (fma (* a a) (- a) (pow b 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 41 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (/ 1 (fma (+ b a) a (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ 1 (fma (+ b a) a (* b b))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 42 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* 1 (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 43 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (+ (sqrt (pow b 3)) (sqrt (pow a 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (pow b 3)) (sqrt (pow a 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ 1 (+ (sqrt (pow b 3)) (sqrt (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (sqrt (pow b 3)) (sqrt (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 44 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* 1 (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 45 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (* (cbrt (- (pow b 3) (pow a 3))) (cbrt (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (cbrt (fma (* a a) (- a) (pow b 3)))) (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (cbrt (fma (* a a) (- a) (pow b 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (* (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (cbrt (fma (* a a) (- a) (pow b 3)))) (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ PI (* 2 b))))) (cbrt (fma (* a a) (- a) (pow b 3))))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (cbrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 46 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (sqrt (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (sqrt (fma (- a) (* a a) (pow b 3)))) (cbrt (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (* (/ (cbrt (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (sqrt (fma (- a) (* a a) (pow b 3)))) (cbrt (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 47 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (fma (+ a b) a (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (fma (+ a b) a (* b b))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- b a)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 48 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 49 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (+ (sqrt (pow b 3)) (sqrt (pow a 3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ (sqrt (pow a 3)) (sqrt (pow b 3))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (/ (+ (sqrt (pow a 3)) (sqrt (pow b 3))) (cbrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (sqrt (pow b 3)) (sqrt (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 50 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (* (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))))) (* (/ (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 51 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (* (cbrt (- (pow b 3) (pow a 3))) (cbrt (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (* (cbrt (fma (- a) (* a a) (pow b 3))) (cbrt (fma (- a) (* a a) (pow b 3))))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (sqrt (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (* (cbrt (fma (- a) (* a a) (pow b 3))) (cbrt (fma (- a) (* a a) (pow b 3))))) (* (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (cbrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 52 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (fma (- a) (* a a) (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (sqrt (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b))))) (sqrt (fma (- a) (* a a) (pow b 3)))) (* (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (sqrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 53 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (fma a (+ a b) (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (fma a (+ a b) (* b b))) (* (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- b a)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 54 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (sqrt (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (* (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 55 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (+ (sqrt (pow b 3)) (sqrt (pow a 3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (+ (sqrt (pow a 3)) (sqrt (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (sqrt (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (+ (sqrt (pow a 3)) (sqrt (pow b 3)))) (* (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (sqrt (pow b 3)) (sqrt (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 56 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (sqrt (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a)))) (* (/ (sqrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 57 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (pow b 3) (pow a 3))) (cbrt (- (pow b 3) (pow a 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (fma (- a) (* a a) (pow b 3)))) (cbrt (fma (- a) (* a a) (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (/ 1 (cbrt (fma (- a) (* a a) (pow b 3)))) (cbrt (fma (- a) (* a a) (pow b 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 58 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (pow b 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (fma (- a) (* a a) (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ 1 (sqrt (fma (- a) (* a a) (pow b 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (sqrt (- (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 59 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (* b b) (+ (* a a) (* b a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * [exit]simplify: Simplified to (/ 1 (fma (+ b a) a (* b b))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ 1 (fma (+ b a) a (* b b))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- b a)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 60 / 129 ] 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 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* 1 (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 61 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (sqrt (pow b 3)) (sqrt (pow a 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ 1 (+ (sqrt (pow a 3)) (sqrt (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ 1 (+ (sqrt (pow a 3)) (sqrt (pow b 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (sqrt (pow b 3)) (sqrt (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 62 / 129 ] 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 * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* 1 (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 63 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 129 ] simplifiying candidate # * [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 (* 2 b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (cbrt (- (/ (/ PI a) 2) (/ PI (* 2 b)))) (* (/ 1 (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 65 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow (pow b 3) 3) (pow (pow a 3) 3))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (311 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (fma (* (- a) (* a a)) (* (pow a 3) (pow a 3)) (pow (pow b 3) 3))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (- (/ PI (* a 2)) (/ (/ PI b) 2))) (fma (* (- a) (* a a)) (* (pow a 3) (pow a 3)) (pow (pow b 3) 3))) (* (+ (* (pow b 3) (pow b 3)) (+ (* (pow a 3) (pow a 3)) (* (pow b 3) (pow a 3)))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 66 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (* (pow b 3) (pow b 3)) (* (pow a 3) (pow a 3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ (/ PI a) 2) (* -1/2 (/ PI b)))) (* (fma a (* a a) (pow b 3)) (fma (* a a) (- a) (pow b 3)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (+ (/ (/ PI a) 2) (* -1/2 (/ PI b)))) (* (fma a (* a a) (pow b 3)) (fma (* a a) (- a) (pow b 3)))) (* (+ (pow b 3) (pow a 3)) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a))))))) * * * * [misc]progress: [ 67 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (274 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (/ (/ PI -2) b) (/ (/ PI a) 2))) (* (fma (- b a) b (* a a)) (fma a (+ a b) (* b b)))) * [misc]simplify: Simplified (2 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (/ (* (cbrt (+ (/ (/ PI -2) b) (/ (/ PI a) 2))) (* (fma (- b a) b (* a a)) (fma a (+ a b) (* b b)))) (- (pow b 3) (pow a 3))))) * * * * [misc]progress: [ 68 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) * * [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 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (* (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 76 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (* (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 77 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (* 1 (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 78 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (* (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI b) 2)))) (cbrt (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b))))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 79 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (* 1 (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 80 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ PI a) b) (* 2 (/ PI 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (fma b (/ PI a) (- PI))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (/ (cbrt (fma b (/ PI a) (- PI))) (cbrt (* 2 b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 81 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (/ (/ PI a) 2) 3) (pow (/ (/ PI 2) b) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (cbrt (fma (* (/ PI (* b 2)) (/ PI (* b 2))) (/ (- PI) (* b 2)) (/ (* (/ PI a) (/ PI a)) (/ 8 (/ PI a))))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (/ (cbrt (fma (* (/ PI (* b 2)) (/ PI (* b 2))) (/ (- PI) (* b 2)) (/ (* (/ PI a) (/ PI a)) (/ 8 (/ PI a))))) (cbrt (+ (* (/ (/ PI a) 2) (/ (/ PI a) 2)) (+ (* (/ (/ PI 2) b) (/ (/ PI 2) b)) (* (/ (/ PI a) 2) (/ (/ PI 2) b)))))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 82 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ (/ PI a) 2) (/ (/ PI a) 2)) (* (/ (/ PI 2) b) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ (/ PI (* 2 b)) (/ (/ PI a) 2)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (/ (cbrt (* (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ (/ PI (* 2 b)) (/ (/ PI a) 2)))) (cbrt (+ (/ (/ PI a) 2) (/ (/ PI 2) b)))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 83 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) * * [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 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (cbrt (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))) (cbrt (- (/ (/ PI a) 2) (/ (/ PI b) 2))))) (cbrt (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 94 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI b) 2)))) (cbrt (sqrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 95 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* 1 (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 96 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* (cbrt (+ (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI b) 2)))) (cbrt (- (sqrt (/ (/ PI a) 2)) (sqrt (/ (/ PI 2) b))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 97 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (* 1 (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b)))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 98 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ PI a) b) (* 2 (/ PI 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (cbrt (fma b (/ PI a) (- PI))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (cbrt (fma b (/ PI a) (- PI))) (cbrt (* 2 b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 99 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow (/ (/ PI a) 2) 3) (pow (/ (/ PI 2) b) 3))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (386 enodes) * [exit]simplify: Simplified to (cbrt (fma (* (/ PI (* b 2)) (/ PI (* b 2))) (/ (- PI) (* b 2)) (/ (* (/ PI a) (/ PI a)) (/ 8 (/ PI a))))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (cbrt (fma (* (/ PI (* b 2)) (/ PI (* b 2))) (/ (- PI) (* b 2)) (/ (* (/ PI a) (/ PI a)) (/ 8 (/ PI a))))) (cbrt (+ (* (/ (/ PI a) 2) (/ (/ PI a) 2)) (+ (* (/ (/ PI 2) b) (/ (/ PI 2) b)) (* (/ (/ PI a) 2) (/ (/ PI 2) b)))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 100 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* (/ (/ PI a) 2) (/ (/ PI a) 2)) (* (/ (/ PI 2) b) (/ (/ PI 2) b)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (cbrt (* (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ (/ PI (* 2 b)) (/ (/ PI a) 2)))) * [misc]simplify: Simplified (2 1 1 1) to (λ (a b) (* (* (/ (cbrt (* (- (/ (/ PI a) 2) (/ PI (* 2 b))) (+ (/ PI (* 2 b)) (/ (/ PI a) 2)))) (cbrt (+ (/ (/ PI a) 2) (/ (/ PI 2) b)))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 101 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) * * [misc]simplify: iters left: 6 (12 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 (cbrt (* (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (* (cbrt (* (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))) (cbrt (fma (/ -1 b) (/ PI 2) (/ (/ PI 2) a))))) (cbrt (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 112 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (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 (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (* (cbrt (sqrt (- (/ PI (* a 2)) (/ (/ PI b) 2)))) (cbrt (sqrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 113 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (* 1 (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a)))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 114 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 129 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/3 (* (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) b)) (* a (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * [exit]simplify: Simplified to (* (- (* 1/3 b) a) (* (cbrt (* -1/2 PI)) (pow b -1/3))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (- (* 1/3 b) a) (* (cbrt (* -1/2 PI)) (pow b -1/3))))) * * * * [misc]progress: [ 119 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 8/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 a)))))) b)) (* (exp (* 1/3 (+ (log (/ 1 a)) (log (* 1/2 PI))))) b)) (* 1/3 (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 a)))))))) * * [misc]simplify: iters left: 6 (30 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (162 enodes) * * [misc]simplify: iters left: 3 (351 enodes) * [exit]simplify: Simplified to (fma (/ (* (cbrt (* 1/2 PI)) (pow a 5/3)) b) 8/9 (fma -1/3 (* (cbrt (* 1/2 PI)) (pow a 2/3)) (* (* (pow a -1/3) b) (cbrt (* 1/2 PI))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (fma (/ (* (cbrt (* 1/2 PI)) (pow a 5/3)) b) 8/9 (fma -1/3 (* (cbrt (* 1/2 PI)) (pow a 2/3)) (* (* (pow a -1/3) b) (cbrt (* 1/2 PI))))))) * * * * [misc]progress: [ 120 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 8/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ -1 a)))))) b)) (+ (* (exp (* 1/3 (+ (log (/ -1 a)) (log (- (* 1/2 PI)))))) b) (* 1/3 (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ -1 a))))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * * [misc]simplify: iters left: 3 (434 enodes) * [exit]simplify: Simplified to (+ (fma 1/3 (pow (exp 1/3) (fma -2 (log (/ -1 a)) (log (* -1/2 PI)))) (* b (cbrt (* (/ -1 a) (* -1/2 PI))))) (* (* (/ 8/9 b) (cbrt (* -1/2 PI))) (exp (* -5/3 (log (/ -1 a)))))) * [misc]simplify: Simplified (2 2) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (+ (fma 1/3 (pow (exp 1/3) (fma -2 (log (/ -1 a)) (log (* -1/2 PI)))) (* b (cbrt (* (/ -1 a) (* -1/2 PI))))) (* (* (/ 8/9 b) (cbrt (* -1/2 PI))) (exp (* -5/3 (log (/ -1 a)))))))) * * * * [misc]progress: [ 121 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (cbrt (/ (* PI 1/2) a)) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (/ (* PI 1/2) a)) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 122 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log (/ 1 b)) (log (- (* 1/2 PI)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b)))))) (pow a 2))) (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b)))))) a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* -1/2 PI)) (/ a (pow b 2/3))) -1/3 (fma (/ (cbrt (* -1/2 PI)) (/ (* a a) (pow b 5/3))) -1/9 (cbrt (* (/ 1 b) (* -1/2 PI))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (fma (/ (cbrt (* -1/2 PI)) (/ a (pow b 2/3))) -1/3 (fma (/ (cbrt (* -1/2 PI)) (/ (* a a) (pow b 5/3))) -1/9 (cbrt (* (/ 1 b) (* -1/2 PI))))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 123 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ -1 b)))))) a)) (exp (* 1/3 (+ (log (/ -1 b)) (log (* 1/2 PI)))))) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ -1 b)))))) (pow a 2)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (fma (/ (pow (exp 1/3) (fma -5 (log (/ -1 b)) (log (* PI 1/2)))) (* a a)) -1/9 (fma 1/3 (/ (pow (exp 1/3) (fma -2 (log (/ -1 b)) (log (* PI 1/2)))) a) (cbrt (* (/ -1 b) (* PI 1/2))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (fma (/ (pow (exp 1/3) (fma -5 (log (/ -1 b)) (log (* PI 1/2)))) (* a a)) -1/9 (fma 1/3 (/ (pow (exp 1/3) (fma -2 (log (/ -1 b)) (log (* PI 1/2)))) a) (cbrt (* (/ -1 b) (* PI 1/2))))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 124 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (* 1/2 PI)) (log a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (cbrt (/ (* PI 1/2) a)) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (cbrt (/ (* PI 1/2) a)) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 125 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log (/ 1 b)) (log (- (* 1/2 PI)))))) (+ (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ 1 b)))))) (pow a 2))) (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ 1 b)))))) a)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (83 enodes) * * [misc]simplify: iters left: 4 (193 enodes) * * [misc]simplify: iters left: 3 (469 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* -1/2 PI)) (/ a (pow b 2/3))) -1/3 (fma (/ (cbrt (* -1/2 PI)) (/ (* a a) (pow b 5/3))) -1/9 (cbrt (* (/ 1 b) (* -1/2 PI))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (fma (/ (cbrt (* -1/2 PI)) (/ a (pow b 2/3))) -1/3 (fma (/ (cbrt (* -1/2 PI)) (/ (* a a) (pow b 5/3))) -1/9 (cbrt (* (/ 1 b) (* -1/2 PI))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 126 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ -1 b)))))) a)) (exp (* 1/3 (+ (log (/ -1 b)) (log (* 1/2 PI)))))) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ -1 b)))))) (pow a 2)))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (163 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (fma (/ (pow (exp 1/3) (fma -5 (log (/ -1 b)) (log (* PI 1/2)))) (* a a)) -1/9 (fma 1/3 (/ (pow (exp 1/3) (fma -2 (log (/ -1 b)) (log (* PI 1/2)))) a) (cbrt (* (/ -1 b) (* PI 1/2))))) * [misc]simplify: Simplified (2 1 1) to (λ (a b) (* (* (fma (/ (pow (exp 1/3) (fma -5 (log (/ -1 b)) (log (* PI 1/2)))) (* a a)) -1/9 (fma 1/3 (/ (pow (exp 1/3) (fma -2 (log (/ -1 b)) (log (* PI 1/2)))) a) (cbrt (* (/ -1 b) (* PI 1/2))))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (fma (/ PI 2) (/ -1 b) (/ (/ PI 2) a))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 127 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* 1/3 (- (log (- (* 1/2 PI))) (log b)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (352 enodes) * [exit]simplify: Simplified to (cbrt (* (/ -1/2 b) PI)) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (cbrt (* (/ -1/2 b) PI)) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 128 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (+ (log (/ 1 a)) (log (* 1/2 PI))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 2 (log (/ 1 a)))))) b)) (* 1/9 (/ (exp (* 1/3 (- (log (* 1/2 PI)) (* 5 (log (/ 1 a)))))) (pow b 2))))) * * [misc]simplify: iters left: 6 (31 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (392 enodes) * [exit]simplify: Simplified to (fma (/ (* (cbrt (* 1/2 PI)) (pow a 5/3)) (* b b)) -1/9 (fma (/ (cbrt (* 1/2 PI)) (/ b (pow a 2/3))) -1/3 (cbrt (* (/ 1 a) (* 1/2 PI))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (fma (/ (* (cbrt (* 1/2 PI)) (pow a 5/3)) (* b b)) -1/9 (fma (/ (cbrt (* 1/2 PI)) (/ b (pow a 2/3))) -1/3 (cbrt (* (/ 1 a) (* 1/2 PI))))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * * [misc]progress: [ 129 / 129 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/3 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 2 (log (/ -1 a)))))) b)) (exp (* 1/3 (+ (log (/ -1 a)) (log (- (* 1/2 PI))))))) (* 1/9 (/ (exp (* 1/3 (- (log (* -1/2 PI)) (* 5 (log (/ -1 a)))))) (pow b 2)))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (80 enodes) * * [misc]simplify: iters left: 4 (192 enodes) * * [misc]simplify: iters left: 3 (473 enodes) * [exit]simplify: Simplified to (fma (cbrt (/ -1 a)) (cbrt (* PI -1/2)) (- (* (* (/ 1/3 b) (cbrt (* PI -1/2))) (exp (* (log (/ -1 a)) -2/3))) (* (* (/ (/ 1/9 b) b) (cbrt (* PI -1/2))) (exp (* (log (/ -1 a)) -5/3))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (a b) (* (* (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (/ (cbrt (- (/ (/ PI a) 2) (/ (/ PI 2) b))) (fma b (* b b) (pow a 3)))) (* (/ (fma (cbrt (/ -1 a)) (cbrt (* PI -1/2)) (- (* (* (/ 1/3 b) (cbrt (* PI -1/2))) (exp (* (log (/ -1 a)) -2/3))) (* (* (/ (/ 1/9 b) b) (cbrt (* PI -1/2))) (exp (* (log (/ -1 a)) -5/3))))) (- (pow b 3) (pow a 3))) (* (fma (+ a b) a (* b b)) (fma (- b a) b (* a a)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # # # # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (a b) * * * * [misc]regimes: Trying to branch on a from (# # # # # # # # # # # # # # #) * * * * [misc]regimes: Trying to branch on b from (# # # # # # # # # # # # # # #) * * * [misc]regime: Found split indices: #