* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ a (- (acos a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ a (- (acos a))) in a * [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 (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) * [misc]taylor: Taking taylor expansion of (/ a (- (acos a))) in a * [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 (- (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 a) (- (acos (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (- (acos (/ 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 (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (- (acos (/ 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 (- (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))))) 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos (/ 1 a)))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (- (acos (/ 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 (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ -1 (- (acos (/ -1 a)))) into (/ 1 (acos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (- (acos (/ 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 (- (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ -1 (- (acos (/ -1 a)))) into (/ 1 (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 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 (- 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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 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 (- 0) into 0 * [misc]backup-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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 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 (- 0) into 0 * [misc]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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (acos (/ -1 a))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos (/ -1 a)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (acos a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]approximate: Taking taylor expansion of (acos (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]approximate: Taking taylor expansion of (acos (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * * * * [misc]progress: [ 2 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos (/ 1 a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (- a) (acos (/ 1 a))) * * * * [misc]progress: [ 3 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos (/ -1 a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (- a) (acos (/ -1 a))) * * * * [misc]progress: [ 4 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 5 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (acos (/ 1 a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ a (- (acos (/ 1 a)))) * * * * [misc]progress: [ 6 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (acos (/ -1 a)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ a (- (acos (/ -1 a)))) * * * * [misc]progress: [ 7 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * * * * [misc]progress: [ 8 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * * * * [misc]progress: [ 9 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 11 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * * * * [misc]progress: [ 12 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * * * * [misc]progress: [ 13 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (113 enodes) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * * * * [misc]progress: [ 14 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ a (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * * * * [misc]progress: [ 15 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * [enter]simplify: Simplifying (- (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * * * * [misc]progress: [ 16 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 18 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (acos a)) a) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [exit]simplify: Simplified to (- (/ (acos a) a)) * * * * [misc]progress: [ 19 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ a 1) * [exit]simplify: Simplified to (/ a 1) * * * * [misc]progress: [ 20 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a -1) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ a -1) * [exit]simplify: Simplified to (/ a -1) * * * * [misc]progress: [ 21 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ a (- 1)) * [exit]simplify: Simplified to (/ a (- 1)) * * * * [misc]progress: [ 22 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ a 1) * [exit]simplify: Simplified to (/ a 1) * * * * [misc]progress: [ 23 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (acos a)) * [exit]simplify: Simplified to (expm1 (acos a)) * * * * [misc]progress: [ 24 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (acos a)) * [exit]simplify: Simplified to (log1p (acos a)) * * * * [misc]progress: [ 25 / 31 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (log (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (acos a)) * [exit]simplify: Simplified to (log (acos a)) * * * * [misc]progress: [ 27 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (acos a)) * [exit]simplify: Simplified to (exp (acos a)) * * * * [misc]progress: [ 28 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (acos a)) * [exit]simplify: Simplified to (cbrt (acos a)) * * * * [misc]progress: [ 29 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (acos a)) * [exit]simplify: Simplified to (cube (acos a)) * * * * [misc]progress: [ 30 / 31 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (acos a)) * [exit]simplify: Simplified to (sqrt (acos a)) * * * * [misc]progress: [ 31 / 31 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ a (- (sqr (sqrt (acos a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ a (- (sqr (sqrt (acos a))))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (acos a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos a))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (sqrt (acos a)) into (sqrt (acos a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (acos a)) (sqrt (acos a))) into (acos a) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) * [misc]taylor: Taking taylor expansion of (/ a (- (sqr (sqrt (acos a))))) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (acos a)))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos a))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (sqrt (acos a)) into (sqrt (acos a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (acos a)) (sqrt (acos a))) into (acos a) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ 1 (- (acos a))) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (* 0 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (* 0 (sqrt (acos a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos a))) (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 a) (- (sqr (sqrt (acos (/ 1 a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (- (sqr (sqrt (acos (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (acos (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (acos (/ 1 a))) (sqrt (acos (/ 1 a)))) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 a) (- (sqr (sqrt (acos (/ 1 a)))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (acos (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (acos (/ 1 a))) (sqrt (acos (/ 1 a)))) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (- (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ -1 (acos (/ 1 a))) into (/ -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (* 0 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))))) 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ 1 a)))) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos (/ 1 a)))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- a)) (- (sqr (sqrt (acos (/ 1 (- a))))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (- (sqr (sqrt (acos (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (acos (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (acos (/ -1 a))) (sqrt (acos (/ -1 a)))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ -1 (- (acos (/ -1 a)))) into (/ 1 (acos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- a)) (- (sqr (sqrt (acos (/ 1 (- a))))))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (sqr (sqrt (acos (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (acos (/ -1 a))) (sqrt (acos (/ -1 a)))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ -1 (- (acos (/ -1 a)))) into (/ 1 (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (* 0 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 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 (- 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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 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 (- 0) into 0 * [misc]backup-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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 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 (- 0) into 0 * [misc]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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (- (acos (/ -1 a)))) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))) (* 0 (/ 0 (- (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (acos (/ -1 a))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos (/ -1 a)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (acos a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos a))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (sqrt (acos a)) into (sqrt (acos a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos a))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (sqrt (acos a)) into (sqrt (acos a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (acos a)) (sqrt (acos a))) into (acos a) * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (* 0 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (* 0 (sqrt (acos a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (acos (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (acos (/ 1 a))) (sqrt (acos (/ 1 a)))) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (* 0 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ 1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (acos (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (acos (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (acos (/ -1 a))) (sqrt (acos (/ -1 a)))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (* 0 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (acos (/ -1 a))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (acos (/ -1 a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (acos a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (sqrt (acos a)) into (sqrt (acos a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (acos a)) in a * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (sqrt (acos a)) into (sqrt (acos a)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify (sqrt (acos a)) into (sqrt (acos a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos a)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (acos a)) into (sqrt (acos a)) * [misc]approximate: Taking taylor expansion of (sqrt (acos (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (acos (/ 1 a))) into (sqrt (acos (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqrt (acos (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (acos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (acos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (acos (/ -1 a))) into (sqrt (acos (/ -1 a))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (acos a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]taylor: Taking taylor expansion of (acos a) in a * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos a) into (acos a) * [misc]approximate: Taking taylor expansion of (acos (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (acos (/ 1 a)) in a * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ 1 a)) into (acos (/ 1 a)) * [misc]approximate: Taking taylor expansion of (acos (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (acos (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (acos (/ 1 (- a))) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos (/ 1 a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (- a) (acos (/ 1 a))) * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* -1 (/ a (acos (/ -1 a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (- a) (acos (/ -1 a))) * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (acos (/ 1 a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ a (- (acos (/ 1 a)))) * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (acos (/ -1 a)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ a (- (acos (/ -1 a)))) * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqr (sqrt (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqr (sqrt (acos (/ 1 a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ a (- (acos (/ 1 a)))) * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqr (sqrt (acos (/ -1 a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ a (- (acos (/ -1 a)))) * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqr (sqrt (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 11 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqr (sqrt (acos (/ 1 a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ a (- (acos (/ 1 a)))) * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqr (sqrt (acos (/ -1 a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ a (- (acos (/ -1 a)))) * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ a (- (sqr (sqrt (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ a (- (sqr (sqrt (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ a (- (sqr (sqrt (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ a (- (sqr (sqrt (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ a (- (sqr (sqrt (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ a (- (sqr (sqrt (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ a (- (sqr (sqrt (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * [enter]simplify: Simplifying (- (- (sqr (sqrt (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqr (sqrt (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqr (sqrt (acos a)))) a) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (/ (- (acos a)) a) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 25 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ a 1) * [exit]simplify: Simplified to (/ a 1) * * * * [misc]progress: [ 26 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a -1) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (/ a -1) * [exit]simplify: Simplified to (/ a -1) * * * * [misc]progress: [ 27 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqr (sqrt 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ a (- 1)) * [exit]simplify: Simplified to (/ a (- 1)) * * * * [misc]progress: [ 28 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqr 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ a (- 1)) * [exit]simplify: Simplified to (/ a (- 1)) * * * * [misc]progress: [ 29 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (sqrt (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (/ a (- (sqrt (acos a)))) * [exit]simplify: Simplified to (/ a (- (sqrt (acos a)))) * * * * [misc]progress: [ 30 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (/ a (- 1)) * [exit]simplify: Simplified to (/ a (- 1)) * * * * [misc]progress: [ 31 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (sqr (sqrt 1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ a 1) * [exit]simplify: Simplified to (/ a 1) * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (sqr 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (/ a 1) * [exit]simplify: Simplified to (/ a 1) * * * * [misc]progress: [ 33 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (sqrt (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (/ a (sqrt (acos a))) * [exit]simplify: Simplified to (/ a (sqrt (acos a))) * * * * [misc]progress: [ 34 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ a 1) * [exit]simplify: Simplified to (/ a 1) * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (acos a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (expm1 (acos a)) * [exit]simplify: Simplified to (expm1 (acos a)) * * * * [misc]progress: [ 36 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (acos a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (log1p (acos a)) * [exit]simplify: Simplified to (log1p (acos a)) * * * * [misc]progress: [ 37 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (acos a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (log (acos a)) * [exit]simplify: Simplified to (log (acos a)) * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (acos a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * [exit]simplify: Simplified to (exp (acos a)) * [exit]simplify: Simplified to (exp (acos a)) * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (acos a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (acos a)) * [exit]simplify: Simplified to (cbrt (acos a)) * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (acos a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cube (acos a)) * [exit]simplify: Simplified to (cube (acos a)) * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (acos a)))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (acos a)) * [exit]simplify: Simplified to (sqrt (acos a)) * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (acos a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (acos a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (acos a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (acos a))) * [exit]simplify: Simplified to (expm1 (sqrt (acos a))) * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (acos a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log1p (sqrt (acos a))) * [exit]simplify: Simplified to (log1p (sqrt (acos a))) * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (acos a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (log (sqrt (acos a))) * [exit]simplify: Simplified to (log (sqrt (acos a))) * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (acos a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (exp (sqrt (acos a))) * [exit]simplify: Simplified to (exp (sqrt (acos a))) * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (acos a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (acos a))) * [exit]simplify: Simplified to (cbrt (sqrt (acos a))) * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (acos a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (8 enodes) * [exit]simplify: Simplified to (* (acos a) (sqrt (acos a))) * [exit]simplify: Simplified to (* (acos a) (sqrt (acos a))) * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (acos a)) * [exit]simplify: Simplified to (sqrt (acos a)) * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (acos a))) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (acos a))) * [exit]simplify: Simplified to (sqrt (sqrt (acos a))) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (acos a)) * [exit]simplify: Simplified to (expm1 (acos a)) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (acos a)) * [exit]simplify: Simplified to (log1p (acos a)) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (acos a)) * [exit]simplify: Simplified to (log (acos a)) * * * * [misc]progress: [ 64 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (acos a)) * [exit]simplify: Simplified to (exp (acos a)) * * * * [misc]progress: [ 65 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (acos a)) * [exit]simplify: Simplified to (cbrt (acos a)) * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (acos a)) * [exit]simplify: Simplified to (cube (acos a)) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (acos a)) * [exit]simplify: Simplified to (sqrt (acos a)) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (sqrt (acos a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (acos a)) * [exit]simplify: Simplified to (sqrt (acos a)) * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a)))