* [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 / 1 ] 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: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 19 ] 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 / 19 ] 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 / 19 ] 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 / 19 ] 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: [ 5 / 19 ] 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: [ 6 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 19 ] 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: [ 8 / 19 ] 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: [ 9 / 19 ] 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: [ 10 / 19 ] 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: [ 11 / 19 ] 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: [ 12 / 19 ] 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: [ 13 / 19 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 19 ] 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: [ 15 / 19 ] 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: [ 16 / 19 ] 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: [ 17 / 19 ] 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: [ 18 / 19 ] 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: [ 19 / 19 ] 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: 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 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ a (- (acos a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ a (- (acos a))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ a (- (acos a))))) into (* -1 (/ a (acos a))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ a (- (acos a))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ a (- (acos a))))) into (* -1 (/ a (acos a))) * [misc]backup-simplify: Simplify (* -1 (/ a (acos a))) into (* -1 (/ a (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 (* -1 (/ a (acos a))) into (* -1 (/ a (acos a))) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (/ 1 a) (- (acos (/ 1 a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ 1 a) (- (acos (/ 1 a)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ 1 a) (- (acos (/ 1 a)))))) into (/ -1 (* (acos (/ 1 a)) a)) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ 1 a) (- (acos (/ 1 a)))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ 1 a) (- (acos (/ 1 a)))))) into (/ -1 (* (acos (/ 1 a)) a)) * [misc]backup-simplify: Simplify (/ -1 (* (acos (/ 1 a)) a)) into (/ -1 (* (acos (/ 1 a)) 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 (/ -1 (* (acos (/ 1 a)) a)) into (/ -1 (* (acos (/ 1 a)) a)) * [misc]approximate: Taking taylor expansion of (cube (cbrt (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))))) into (/ 1 (* a (acos (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (cube (cbrt (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))))) in a * [misc]backup-simplify: Simplify (cube (cbrt (/ (/ 1 (- a)) (- (acos (/ 1 (- a))))))) into (/ 1 (* a (acos (/ -1 a)))) * [misc]backup-simplify: Simplify (/ 1 (* a (acos (/ -1 a)))) into (/ 1 (* a (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 (/ 1 (* a (acos (/ -1 a)))) into (/ 1 (* a (acos (/ -1 a)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) * [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: [ 3 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ a (- (acos a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ a (- (acos a)))) in a * [misc]backup-simplify: Simplify (cbrt (/ a (- (acos a)))) into (cbrt (* -1 (/ a (acos a)))) * [misc]taylor: Taking taylor expansion of (cbrt (/ a (- (acos a)))) in a * [misc]backup-simplify: Simplify (cbrt (/ a (- (acos a)))) into (cbrt (* -1 (/ a (acos a)))) * [misc]backup-simplify: Simplify (cbrt (* -1 (/ a (acos a)))) into (cbrt (* -1 (/ a (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 (cbrt (* -1 (/ a (acos a)))) into (cbrt (* -1 (/ a (acos a)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 1 a) (- (acos (/ 1 a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 a) (- (acos (/ 1 a))))) in a * [misc]backup-simplify: Simplify (cbrt (/ (/ 1 a) (- (acos (/ 1 a))))) into (cbrt (/ -1 (* (acos (/ 1 a)) a))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 a) (- (acos (/ 1 a))))) in a * [misc]backup-simplify: Simplify (cbrt (/ (/ 1 a) (- (acos (/ 1 a))))) into (cbrt (/ -1 (* (acos (/ 1 a)) a))) * [misc]backup-simplify: Simplify (cbrt (/ -1 (* (acos (/ 1 a)) a))) into (cbrt (/ -1 (* (acos (/ 1 a)) 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 (cbrt (/ -1 (* (acos (/ 1 a)) a))) into (cbrt (/ -1 (* (acos (/ 1 a)) a))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (/ 1 (- a)) (- (acos (/ 1 (- a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 (- a)) (- (acos (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (cbrt (/ (/ 1 (- a)) (- (acos (/ 1 (- a)))))) into (cbrt (/ 1 (* a (acos (/ -1 a))))) * [misc]taylor: Taking taylor expansion of (cbrt (/ (/ 1 (- a)) (- (acos (/ 1 (- a)))))) in a * [misc]backup-simplify: Simplify (cbrt (/ (/ 1 (- a)) (- (acos (/ 1 (- a)))))) into (cbrt (/ 1 (* a (acos (/ -1 a))))) * [misc]backup-simplify: Simplify (cbrt (/ 1 (* a (acos (/ -1 a))))) into (cbrt (/ 1 (* a (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 (cbrt (/ 1 (* a (acos (/ -1 a))))) into (cbrt (/ 1 (* a (acos (/ -1 a))))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 53 ] 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 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* (acos (/ 1 a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ -1 (acos (/ 1 a))) a) * * * * [misc]progress: [ 3 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* a (acos (/ -1 a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (acos (/ -1 a))) * * * * [misc]progress: [ 4 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -1 (/ a (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * * * * [misc]progress: [ 5 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -1 (/ a (acos (/ 1 a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (- a) (acos (/ 1 a))) * * * * [misc]progress: [ 6 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -1 (/ a (acos (/ -1 a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (- a) (acos (/ -1 a))) * * * * [misc]progress: [ 7 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (* -1 (/ a (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (- a) (acos a)) * * * * [misc]progress: [ 8 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ -1 (* (acos (/ 1 a)) a)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (/ -1 a) (acos (/ 1 a))) * * * * [misc]progress: [ 9 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ 1 (* a (acos (/ -1 a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (acos (/ -1 a))) * * * * [misc]progress: [ 10 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (cbrt (/ a (- (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * * * * [misc]progress: [ 11 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (cbrt (/ a (- (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * * * * [misc]progress: [ 12 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (cbrt (/ a (- (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 15 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (cbrt (/ a (- (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * * * * [misc]progress: [ 16 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (cbrt (/ a (- (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * * * * [misc]progress: [ 17 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (cbrt (/ a (- (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * * * * [misc]progress: [ 18 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 19 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to a * [exit]simplify: Simplified to a * [enter]simplify: Simplifying (cube (cbrt (/ 1 (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 20 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 21 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to a * [exit]simplify: Simplified to a * [enter]simplify: Simplifying (cube (cbrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (acos a)) * [exit]simplify: Simplified to (- (acos a)) * * * * [misc]progress: [ 22 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (* (cbrt (/ a (- (acos a)))) (cbrt (/ a (- (acos a))))) * * * * [misc]progress: [ 23 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (cbrt (/ a (- (acos a)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * * * * [misc]progress: [ 24 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 53 ] 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: [ 26 / 53 ] 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: [ 27 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 53 ] 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: [ 29 / 53 ] 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: [ 30 / 53 ] 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: [ 31 / 53 ] 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: [ 32 / 53 ] 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: [ 33 / 53 ] 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: [ 34 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 53 ] 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: [ 36 / 53 ] 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: [ 37 / 53 ] 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: [ 38 / 53 ] 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: [ 39 / 53 ] 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: [ 40 / 53 ] 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: [ 41 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (expm1 (cbrt (/ a (- (acos a))))) * * * * [misc]progress: [ 42 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log1p (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (log1p (cbrt (/ a (- (acos a))))) * * * * [misc]progress: [ 43 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (log (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (log (cbrt (/ a (- (acos a))))) * * * * [misc]progress: [ 46 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (exp (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (exp (cbrt (/ a (- (acos a))))) * * * * [misc]progress: [ 47 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [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: [ 48 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt a) * [exit]simplify: Simplified to (cbrt a) * [enter]simplify: Simplifying (cbrt (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ 1 (- (acos a)))) * * * * [misc]progress: [ 49 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt a) * [exit]simplify: Simplified to (cbrt a) * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [exit]simplify: Simplified to (cbrt (- (acos a))) * * * * [misc]progress: [ 50 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ a (- (acos a))))) * * * * [misc]progress: [ 51 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 52 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (sqrt (cbrt (/ a (- (acos a))))) * * * * [misc]progress: [ 53 / 53 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt a) (cbrt (- (acos a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt a) (cbrt (- (acos a))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt a) (cbrt (- (acos a))))) into (cube (/ (cbrt a) (cbrt (- (acos a))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt a) (cbrt (- (acos a))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt a) (cbrt (- (acos a))))) into (cube (/ (cbrt a) (cbrt (- (acos a))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt a) (cbrt (- (acos a))))) into (cube (/ (cbrt a) (cbrt (- (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 (cube (/ (cbrt a) (cbrt (- (acos a))))) into (cube (/ (cbrt a) (cbrt (- (acos a))))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) into (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) into (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) into (cube (/ (cbrt (/ 1 a)) (cbrt (- (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 (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) into (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) * [misc]approximate: Taking taylor expansion of (cube (/ (cbrt (/ 1 (- a))) (cbrt (- (acos (/ 1 (- a))))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ 1 (- a))) (cbrt (- (acos (/ 1 (- a))))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ 1 (- a))) (cbrt (- (acos (/ 1 (- a))))))) into (cube (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a)))))) * [misc]taylor: Taking taylor expansion of (cube (/ (cbrt (/ 1 (- a))) (cbrt (- (acos (/ 1 (- a))))))) in a * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ 1 (- a))) (cbrt (- (acos (/ 1 (- a))))))) into (cube (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a)))))) * [misc]backup-simplify: Simplify (cube (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a)))))) into (cube (/ (cbrt (/ -1 a)) (cbrt (- (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 (cube (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a)))))) into (cube (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (cbrt a) (cbrt (- (acos a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt a) (cbrt (- (acos a)))) in a * [misc]taylor: Taking taylor expansion of (cbrt a) in a * [misc]backup-simplify: Simplify (cbrt a) into (cbrt a) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos a))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos a))) into (cbrt (- (acos a))) * [misc]backup-simplify: Simplify (/ (cbrt a) (cbrt (- (acos a)))) into (/ (cbrt a) (cbrt (- (acos a)))) * [misc]taylor: Taking taylor expansion of (/ (cbrt a) (cbrt (- (acos a)))) in a * [misc]taylor: Taking taylor expansion of (cbrt a) in a * [misc]backup-simplify: Simplify (cbrt a) into (cbrt a) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos a))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos a))) into (cbrt (- (acos a))) * [misc]backup-simplify: Simplify (/ (cbrt a) (cbrt (- (acos a)))) into (/ (cbrt a) (cbrt (- (acos a)))) * [misc]backup-simplify: Simplify (/ (cbrt a) (cbrt (- (acos a)))) into (/ (cbrt a) (cbrt (- (acos a)))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos a)))) (+ (* (/ (cbrt a) (cbrt (- (acos a)))) (/ 0 (cbrt (- (acos a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos a)))) (+ (* (/ (cbrt a) (cbrt (- (acos a)))) (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos a)))) (+ (* (/ (cbrt a) (cbrt (- (acos a)))) (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos a)))) (+ (* (/ (cbrt a) (cbrt (- (acos a)))) (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos a)))) (+ (* (/ (cbrt a) (cbrt (- (acos a)))) (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos a)))) (+ (* (/ (cbrt a) (cbrt (- (acos a)))) (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))) (* 0 (/ 0 (cbrt (- (acos a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt a) (cbrt (- (acos a)))) into (/ (cbrt a) (cbrt (- (acos a)))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 a)) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 a)) into (cbrt (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 a)))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos (/ 1 a)))) into (cbrt (- (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) into (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 a)) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 a)) into (cbrt (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 a)))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos (/ 1 a)))) into (cbrt (- (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) into (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) into (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ 1 a))))) (+ (* (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) (/ 0 (cbrt (- (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ 1 a))))) (+ (* (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ 1 a))))) (+ (* (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ 1 a))))) (+ (* (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ 1 a))))) (+ (* (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ 1 a))))) (+ (* (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) into (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a))))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (/ 1 (- a))) (cbrt (- (acos (/ 1 (- a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ 1 (- a))) (cbrt (- (acos (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 (- a))) into (cbrt (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos (/ 1 (- a))))) into (cbrt (- (acos (/ -1 a)))) * [misc]backup-simplify: Simplify (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) into (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (/ 1 (- a))) (cbrt (- (acos (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 (- a))) into (cbrt (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos (/ 1 (- a))))) into (cbrt (- (acos (/ -1 a)))) * [misc]backup-simplify: Simplify (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) into (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) * [misc]backup-simplify: Simplify (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) into (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ -1 a))))) (+ (* (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) (/ 0 (cbrt (- (acos (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ -1 a))))) (+ (* (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ -1 a))))) (+ (* (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ -1 a))))) (+ (* (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ -1 a))))) (+ (* (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cbrt (- (acos (/ -1 a))))) (+ (* (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))) (* 0 (/ 0 (cbrt (- (acos (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) into (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt a) in a * [misc]backup-simplify: Simplify (cbrt a) into (cbrt a) * [misc]taylor: Taking taylor expansion of (cbrt a) in a * [misc]backup-simplify: Simplify (cbrt a) into (cbrt a) * [misc]backup-simplify: Simplify (cbrt a) into (cbrt 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 (cbrt a) into (cbrt a) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 a)) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 a)) into (cbrt (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 a)) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 a)) into (cbrt (/ 1 a)) * [misc]backup-simplify: Simplify (cbrt (/ 1 a)) into (cbrt (/ 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 (cbrt (/ 1 a)) into (cbrt (/ 1 a)) * [misc]approximate: Taking taylor expansion of (cbrt (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 (- a))) into (cbrt (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cbrt (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (cbrt (/ 1 (- a))) into (cbrt (/ -1 a)) * [misc]backup-simplify: Simplify (cbrt (/ -1 a)) into (cbrt (/ -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 (cbrt (/ -1 a)) into (cbrt (/ -1 a)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (- (acos a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (acos a))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos a))) into (cbrt (- (acos a))) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos a))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos a))) into (cbrt (- (acos a))) * [misc]backup-simplify: Simplify (cbrt (- (acos a))) into (cbrt (- (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 (cbrt (- (acos a))) into (cbrt (- (acos a))) * [misc]approximate: Taking taylor expansion of (cbrt (- (acos (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 a)))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos (/ 1 a)))) into (cbrt (- (acos (/ 1 a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 a)))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos (/ 1 a)))) into (cbrt (- (acos (/ 1 a)))) * [misc]backup-simplify: Simplify (cbrt (- (acos (/ 1 a)))) into (cbrt (- (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 (cbrt (- (acos (/ 1 a)))) into (cbrt (- (acos (/ 1 a)))) * [misc]approximate: Taking taylor expansion of (cbrt (- (acos (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos (/ 1 (- a))))) into (cbrt (- (acos (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (cbrt (- (acos (/ 1 (- a))))) in a * [misc]backup-simplify: Simplify (cbrt (- (acos (/ 1 (- a))))) into (cbrt (- (acos (/ -1 a)))) * [misc]backup-simplify: Simplify (cbrt (- (acos (/ -1 a)))) into (cbrt (- (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 (cbrt (- (acos (/ -1 a)))) into (cbrt (- (acos (/ -1 a)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 2 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (- (acos (/ 1 a)))) * * * * [misc]progress: [ 3 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ -1 a) (- (acos (/ -1 a)))) * * * * [misc]progress: [ 4 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 5 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos (/ 1 a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (/ 1 a) (- (acos (/ 1 a)))) * * * * [misc]progress: [ 6 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (/ -1 a)) (cbrt (- (acos (/ -1 a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ (/ -1 a) (- (acos (/ -1 a)))) * * * * [misc]progress: [ 7 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 8 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (/ 1 a)) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ 1 (* (- a) (acos a))) * * * * [misc]progress: [ 9 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt (/ -1 a)) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (/ -1 (* (- a) (acos a))) * * * * [misc]progress: [ 10 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 11 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos (/ 1 a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ a (- (acos (/ 1 a)))) * * * * [misc]progress: [ 12 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos (/ -1 a)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (/ a (- (acos (/ -1 a)))) * * * * [misc]progress: [ 13 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cube (/ (cbrt a) (cbrt (- (acos a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * * * * [misc]progress: [ 14 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cube (/ (cbrt a) (cbrt (- (acos a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * * * * [misc]progress: [ 15 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cube (/ (cbrt a) (cbrt (- (acos a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (122 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 18 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cube (/ (cbrt a) (cbrt (- (acos a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * * * * [misc]progress: [ 19 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cube (/ (cbrt a) (cbrt (- (acos a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * * * * [misc]progress: [ 20 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cube (/ (cbrt a) (cbrt (- (acos a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * * * * [misc]progress: [ 21 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 22 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (cbrt -1))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ 1 -1) * [exit]simplify: Simplified to (/ 1 -1) * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (acos a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ a (acos a)) * [exit]simplify: Simplified to (/ a (acos a)) * * * * [misc]progress: [ 23 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (cbrt (- 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ 1 (- 1)) * [exit]simplify: Simplified to (/ 1 (- 1)) * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (acos a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ a (acos a)) * [exit]simplify: Simplified to (/ a (acos a)) * * * * [misc]progress: [ 24 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (cbrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ 1 1) * [exit]simplify: Simplified to (/ 1 1) * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 25 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (13 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 26 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cube 1) * [exit]simplify: Simplified to (cube 1) * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 27 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to a * [exit]simplify: Simplified to a * [enter]simplify: Simplifying (cube (/ 1 (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 28 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to a * [exit]simplify: Simplified to a * [enter]simplify: Simplifying (cube (cbrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (acos a)) * [exit]simplify: Simplified to (- (acos a)) * * * * [misc]progress: [ 29 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) * [exit]simplify: Simplified to (* (/ (cbrt a) (cbrt (- (acos a)))) (/ (cbrt a) (cbrt (- (acos a))))) * * * * [misc]progress: [ 30 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cube (/ (cbrt a) (cbrt (- (acos a)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * * * * [misc]progress: [ 31 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (expm1 (/ (cbrt a) (cbrt (- (acos a))))) * [exit]simplify: Simplified to (expm1 (/ (cbrt a) (cbrt (- (acos a))))) * * * * [misc]progress: [ 33 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (log1p (/ (cbrt a) (cbrt (- (acos a))))) * [exit]simplify: Simplified to (log1p (/ (cbrt a) (cbrt (- (acos a))))) * * * * [misc]progress: [ 34 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt a)) (log (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (- (log (cbrt a)) (log (cbrt (- (acos a))))) * [exit]simplify: Simplified to (- (log (cbrt a)) (log (cbrt (- (acos a))))) * * * * [misc]progress: [ 36 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (/ (cbrt a) (cbrt (- (acos a))))) * [exit]simplify: Simplified to (log (/ (cbrt a) (cbrt (- (acos a))))) * * * * [misc]progress: [ 37 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (exp (/ (cbrt a) (cbrt (- (acos a))))) * [exit]simplify: Simplified to (exp (/ (cbrt a) (cbrt (- (acos a))))) * * * * [misc]progress: [ 38 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 39 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (cbrt a) (cbrt (- (acos a))))) * [exit]simplify: Simplified to (cbrt (/ (cbrt a) (cbrt (- (acos a))))) * * * * [misc]progress: [ 40 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 41 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cbrt a)) (cbrt (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt a)) (cbrt (cbrt (- (acos a))))) * [exit]simplify: Simplified to (/ (cbrt (cbrt a)) (cbrt (cbrt (- (acos a))))) * * * * [misc]progress: [ 42 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt a) (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt a) (cbrt (- (acos a))))) * [exit]simplify: Simplified to (sqrt (/ (cbrt a) (cbrt (- (acos a))))) * * * * [misc]progress: [ 43 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt a)) (sqrt (cbrt (- (acos a))))) * * [misc]simplify: iters left: 6 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt a)) (sqrt (cbrt (- (acos a))))) * [exit]simplify: Simplified to (/ (sqrt (cbrt a)) (sqrt (cbrt (- (acos a))))) * * * * [misc]progress: [ 44 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cbrt a)) * [exit]simplify: Simplified to (- (cbrt a)) * [enter]simplify: Simplifying (- (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (- (cbrt (- (acos a)))) * [exit]simplify: Simplified to (- (cbrt (- (acos a)))) * * * * [misc]progress: [ 45 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [enter]simplify: Simplifying (/ (cbrt a) (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (- (acos a)))) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (- (acos a)))) * * * * [misc]progress: [ 46 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt -1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt -1)) * [exit]simplify: Simplified to (/ 1 (cbrt -1)) * [enter]simplify: Simplifying (/ (cbrt a) (cbrt (acos a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (acos a))) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (acos a))) * * * * [misc]progress: [ 47 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (- 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (- 1))) * [exit]simplify: Simplified to (/ 1 (cbrt (- 1))) * [enter]simplify: Simplifying (/ (cbrt a) (cbrt (acos a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (acos a))) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (acos a))) * * * * [misc]progress: [ 48 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [exit]simplify: Simplified to (/ 1 (cbrt 1)) * [enter]simplify: Simplifying (/ (cbrt a) (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (- (acos a)))) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (- (acos a)))) * * * * [misc]progress: [ 49 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (cbrt a) (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (- (acos a)))) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (- (acos a)))) * * * * [misc]progress: [ 50 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (cbrt (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ 1 (cbrt (- (acos a)))) * [exit]simplify: Simplified to (/ 1 (cbrt (- (acos a)))) * * * * [misc]progress: [ 52 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (acos a))) (cbrt a)) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (acos a))) (cbrt a)) * [exit]simplify: Simplified to (/ (cbrt (- (acos a))) (cbrt a)) * * * * [misc]progress: [ 53 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt a) (cbrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt 1)) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt 1)) * * * * [misc]progress: [ 54 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt a) (cbrt -1)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt -1)) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt -1)) * * * * [misc]progress: [ 55 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt a) (cbrt (- 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (- 1))) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt (- 1))) * * * * [misc]progress: [ 56 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt a) (cbrt 1)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt 1)) * [exit]simplify: Simplified to (/ (cbrt a) (cbrt 1)) * * * * [misc]progress: [ 57 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt a) 1) * [exit]simplify: Simplified to (/ (cbrt a) 1) * * * * [misc]progress: [ 58 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- (acos a))) (cbrt a)) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (acos a))) (cbrt a)) * [exit]simplify: Simplified to (/ (cbrt (- (acos a))) (cbrt a)) * * * * [misc]progress: [ 59 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (cbrt a)) * [exit]simplify: Simplified to (expm1 (cbrt a)) * * * * [misc]progress: [ 60 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (cbrt a)) * [exit]simplify: Simplified to (log1p (cbrt a)) * * * * [misc]progress: [ 61 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (cbrt a)) * [exit]simplify: Simplified to (log (cbrt a)) * * * * [misc]progress: [ 64 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (cbrt a)) * [exit]simplify: Simplified to (exp (cbrt a)) * * * * [misc]progress: [ 65 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cbrt a)) * [exit]simplify: Simplified to (cbrt (cbrt a)) * * * * [misc]progress: [ 66 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to a * [exit]simplify: Simplified to a * * * * [misc]progress: [ 67 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cbrt a)) * [exit]simplify: Simplified to (sqrt (cbrt a)) * * * * [misc]progress: [ 68 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (- (acos a)))) * [exit]simplify: Simplified to (expm1 (cbrt (- (acos a)))) * * * * [misc]progress: [ 70 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (log1p (cbrt (- (acos a)))) * [exit]simplify: Simplified to (log1p (cbrt (- (acos a)))) * * * * [misc]progress: [ 71 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (log (cbrt (- (acos a)))) * [exit]simplify: Simplified to (log (cbrt (- (acos a)))) * * * * [misc]progress: [ 74 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (exp (cbrt (- (acos a)))) * [exit]simplify: Simplified to (exp (cbrt (- (acos a)))) * * * * [misc]progress: [ 75 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [exit]simplify: Simplified to (cbrt (- (acos a))) * * * * [misc]progress: [ 76 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt -1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt -1) * [exit]simplify: Simplified to (cbrt -1) * [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: [ 77 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt (- 1)) * [exit]simplify: Simplified to (cbrt (- 1)) * [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: [ 78 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [exit]simplify: Simplified to (cbrt (- (acos a))) * * * * [misc]progress: [ 79 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (acos a)))) * [exit]simplify: Simplified to (cbrt (cbrt (- (acos a)))) * * * * [misc]progress: [ 80 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cbrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (- (acos a)) * [exit]simplify: Simplified to (- (acos a)) * * * * [misc]progress: [ 81 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- (acos a)))) * [exit]simplify: Simplified to (sqrt (cbrt (- (acos a)))) * * * * [misc]progress: [ 82 / 82 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (cbrt (cbrt (/ a (- (acos a))))) * * [misc]simplify: iters left: 6 (6 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ a (- (acos a))))) * [exit]simplify: Simplified to (cbrt (cbrt (/ a (- (acos a))))) * [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)))) * [enter]simplify: Simplifying (cbrt (cbrt (- (acos a)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- (acos a)))) * [exit]simplify: Simplified to (cbrt (cbrt (- (acos a)))) * [enter]simplify: Simplifying (cbrt a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt a) * [exit]simplify: Simplified to (cbrt a) * [enter]simplify: Simplifying (cbrt (- (acos a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [exit]simplify: Simplified to (cbrt (- (acos a))) * [enter]simplify: Simplifying (cbrt a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt a) * [exit]simplify: Simplified to (cbrt a) * [enter]simplify: Simplifying (cbrt (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ 1 (- (acos a)))) * [enter]simplify: Simplifying (cbrt (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cbrt a)) * [exit]simplify: Simplified to (cbrt (cbrt a)) * [enter]simplify: Simplifying (sqrt (cbrt a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cbrt a)) * [exit]simplify: Simplified to (sqrt (cbrt a)) * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a)))