* [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 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (- (acos a)) a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (* -1 (acos a)) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (acos a)) (/ 1 a)) into (* -1 (/ (acos a) a)) * [misc]approximate: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [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]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (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))) 1) into (* -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [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]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (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))) 1) 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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (acos (/ 1 a))) (/ 1 a)) into (* -1 (/ (acos (/ 1 a)) a)) * [misc]approximate: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [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]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (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))) -1) into (acos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [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]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (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))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (acos (/ -1 a)) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (acos (/ -1 a)) (/ 1 (- a))) into (* -1 (/ (acos (/ -1 a)) a)) * * * * [misc]progress: [ 2 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ 1 (/ (- (acos a)) a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (acos a))) into (/ -1 (acos a)) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos a)) a)) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos a)) a) in a * [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]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (/ (- (acos a)) 1) into (* -1 (acos a)) * [misc]backup-simplify: Simplify (/ 1 (* -1 (acos a))) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (acos a)))) (* 0 (/ 0 (* -1 (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 (/ (- (acos (/ 1 a))) (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [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]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (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))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (* -1 (acos (/ 1 a)))) into (/ -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos (/ 1 a))) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 a))) (/ 1 a)) in a * [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]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- (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))) 1) into (* -1 (acos (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (* -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 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (acos (/ 1 a))))) (* 0 (/ 0 (* -1 (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 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [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]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (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))) -1) into (acos (/ -1 a)) * [misc]backup-simplify: Simplify (/ 1 (acos (/ -1 a))) into (/ 1 (acos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (/ (- (acos (/ 1 (- a)))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ (- (acos (/ 1 (- a)))) (/ 1 (- a))) in a * [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]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- (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))) -1) 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (acos (/ -1 a)) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 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 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* -1 (/ (acos a) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (/ a -1) (acos a)) * * * * [misc]progress: [ 2 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* -1 (/ (acos (/ 1 a)) a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ a -1) (acos (/ 1 a))) * * * * [misc]progress: [ 3 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* -1 (/ (acos (/ -1 a)) a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (/ a -1) (acos (/ -1 a))) * * * * [misc]progress: [ 4 / 41 ] 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: [ 5 / 41 ] 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: [ 6 / 41 ] 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: [ 7 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (expm1 (- (/ (acos a) a))) * [exit]simplify: Simplified to (expm1 (- (/ (acos a) a))) * * * * [misc]progress: [ 8 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (log1p (- (/ (acos a) a))) * [exit]simplify: Simplified to (log1p (- (/ (acos a) a))) * * * * [misc]progress: [ 9 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (log (- (/ (acos a) a))) * [exit]simplify: Simplified to (log (- (/ (acos a) a))) * * * * [misc]progress: [ 11 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (exp (- (/ (acos a) a))) * [exit]simplify: Simplified to (exp (- (/ (acos a) a))) * * * * [misc]progress: [ 12 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (/ (acos a) a))) * [exit]simplify: Simplified to (cbrt (- (/ (acos a) a))) * * * * [misc]progress: [ 13 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (227 enodes) * [exit]simplify: Simplified to (cube (/ (- (acos a)) a)) * [exit]simplify: Simplified to (cube (/ (- (acos a)) a)) * * * * [misc]progress: [ 14 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (acos a) a))) * [exit]simplify: Simplified to (sqrt (- (/ (acos a) a))) * * * * [misc]progress: [ 15 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * * * * [misc]progress: [ 16 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 a) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to 0 * [exit]simplify: Simplified to 0 * [enter]simplify: Simplifying (/ (acos a) a) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ (acos a) a) * [exit]simplify: Simplified to (/ (acos a) a) * * * * [misc]progress: [ 17 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [exit]simplify: Simplified to (/ 1 a) * * * * [misc]progress: [ 19 / 41 ] 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: [ 20 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (acos a) a) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ (acos a) a) * [exit]simplify: Simplified to (/ (acos a) a) * * * * [misc]progress: [ 21 / 41 ] 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: [ 22 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (acos a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ a (acos a)) * [exit]simplify: Simplified to (/ a (acos a)) * * * * [misc]progress: [ 23 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (acos a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ a (acos a)) * [exit]simplify: Simplified to (/ a (acos a)) * * * * [misc]progress: [ 24 / 41 ] 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: [ 25 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (/ (- (acos a)) 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 (18 enodes) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * * * * [misc]progress: [ 26 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (/ (- (acos a)) 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 (18 enodes) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * * * * [misc]progress: [ 27 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (log (- (/ (acos a) a)))) * [exit]simplify: Simplified to (- (log (- (/ (acos a) a)))) * * * * [misc]progress: [ 30 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 31 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * * * * [misc]progress: [ 32 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (/ (- (acos a)) 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 (18 enodes) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * * * * [misc]progress: [ 33 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (/ (- (acos a)) a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * * * * [misc]progress: [ 34 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (/ (- (acos a)) 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 (18 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * * * * [misc]progress: [ 35 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (acos a) a) * [exit]simplify: Simplified to (/ (acos a) a) * * * * [misc]progress: [ 36 / 41 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (- (acos a)) a)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 38 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (acos a)) a) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [exit]simplify: Simplified to (- (/ (acos a) a)) * * * * [misc]progress: [ 39 / 41 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 40 / 41 ] 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: [ 41 / 41 ] 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: 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 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- (acos a))) (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (acos a))) in a * [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 (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ -1 (acos a)) 1) into (/ -1 (acos a)) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (acos a))) in a * [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 (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ -1 (acos a)) 1) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (/ -1 (acos a)) into (/ -1 (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos a)) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (acos a)) a) into (* -1 (/ a (acos a))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (acos (/ 1 a)))) in a * [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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ -1 (acos (/ 1 a))) 1) into (/ -1 (acos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 a)))) (/ 1 (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (acos (/ 1 a)))) in a * [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 (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ 1 a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (/ -1 (acos (/ 1 a))) 1) 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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -1 (acos (/ 1 a))) (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))) (* 0 (/ 0 (- (acos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (/ -1 (acos (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ -1 (acos (/ 1 a))) (/ 1 (/ 1 a))) into (* -1 (/ a (acos (/ 1 a)))) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (acos (/ 1 (- a))))) in a * [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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 (acos (/ -1 a))) -1) into (/ 1 (acos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- (acos (/ 1 (- a))))) (/ 1 (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- (acos (/ 1 (- a))))) in a * [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 (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in a * [misc]taylor: Taking taylor expansion of (- a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (/ -1 (acos (/ -1 a))) -1) 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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos (/ -1 a))) (/ 0 (- (acos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (+ (* (/ -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (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 (- (+ (* (/ -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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (/ 1 (acos (/ -1 a))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (/ 1 (acos (/ -1 a))) (/ 1 (/ 1 (- a)))) into (* -1 (/ a (acos (/ -1 a)))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (- (acos a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (acos a))) in a * [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 (/ 1 (- (acos a))) in a * [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 (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]backup-simplify: Simplify (- (+ (* (/ -1 (acos a)) (/ 0 (- (acos a)))) (* 0 (/ 0 (- (acos a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (acos a)) into (- (acos a)) * [misc]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 (- (+ (* (/ -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 (- 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 (- (+ (* (/ -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 (- 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 (- (+ (* (/ -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 (- 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 (- (+ (* (/ -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)) into (/ -1 (acos a)) * [misc]approximate: Taking taylor expansion of (/ 1 (- (acos (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (acos (/ 1 a)))) in a * [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 (- (acos (/ 1 a)))) in a * [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 (- (acos (/ 1 a))) into (- (acos (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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))) into (/ -1 (acos (/ 1 a))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (acos (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (acos (/ 1 (- a))))) in a * [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 (- (acos (/ 1 (- a))))) in a * [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 (- (acos (/ -1 a))) into (- (acos (/ -1 a))) * [misc]backup-simplify: Simplify (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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 (- (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 (- (+ (* (/ -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))) into (/ -1 (acos (/ -1 a))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 51 ] 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 / 51 ] 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 / 51 ] 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 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (acos a)) (/ 1 a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* a (/ -1 (acos a))) * * * * [misc]progress: [ 5 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (acos (/ 1 a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (- (/ a 1)) (acos (/ 1 a))) * * * * [misc]progress: [ 6 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (acos (/ -1 a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (/ (/ (- a) 1) (acos (/ -1 a))) * * * * [misc]progress: [ 7 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * [exit]simplify: Simplified to (expm1 (/ a (- (acos a)))) * * * * [misc]progress: [ 8 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * [exit]simplify: Simplified to (log1p (/ a (- (acos a)))) * * * * [misc]progress: [ 9 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (acos a)))) (log (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (- (log (- (acos a)))) (- (log a))) * [exit]simplify: Simplified to (- (- (log (- (acos a)))) (- (log a))) * * * * [misc]progress: [ 11 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ 1 (- (acos a)))) (log (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (- (+ (log a) 0) (log (- (acos a)))) * [exit]simplify: Simplified to (- (+ (log a) 0) (log (- (acos a)))) * * * * [misc]progress: [ 12 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * [exit]simplify: Simplified to (log (/ a (- (acos a)))) * * * * [misc]progress: [ 13 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * [exit]simplify: Simplified to (exp (/ a (- (acos a)))) * * * * [misc]progress: [ 14 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (/ 1 (- (acos a)))) (cube (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (189 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * [exit]simplify: Simplified to (cube (* (/ 1 (- (acos a))) a)) * [exit]simplify: Simplified to (cube (* (/ 1 (- (acos a))) a)) * * * * [misc]progress: [ 15 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (cbrt (/ a (- (acos a)))) * * * * [misc]progress: [ 16 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (230 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * [exit]simplify: Simplified to (cube (/ a (- (acos a)))) * * * * [misc]progress: [ 17 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) * [exit]simplify: Simplified to (/ (cbrt (/ 1 (- (acos a)))) (cbrt (/ 1 a))) * * * * [misc]progress: [ 18 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (- (acos a))) (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ a (- (acos a)))) * * * * [misc]progress: [ 19 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * [exit]simplify: Simplified to (/ (sqrt (/ 1 (- (acos a)))) (sqrt (/ 1 a))) * * * * [misc]progress: [ 20 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (- 1) (- (acos a))) * [exit]simplify: Simplified to (/ (- 1) (- (acos a))) * [enter]simplify: Simplifying (- (/ 1 a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (- 1) a) * [exit]simplify: Simplified to (/ (- 1) a) * * * * [misc]progress: [ 21 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 22 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 23 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 24 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) (/ 1 a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [exit]simplify: Simplified to (/ a (- (acos a))) * * * * [misc]progress: [ 25 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 a)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to a * [exit]simplify: Simplified to a * * * * [misc]progress: [ 27 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [exit]simplify: Simplified to (- (/ (acos a) a)) * * * * [misc]progress: [ 28 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) 1) * * [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 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 29 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) 1) * * [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 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 30 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [exit]simplify: Simplified to (- (/ (acos a) a)) * * * * [misc]progress: [ 31 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 a) (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (- (/ (acos a) a)) * [exit]simplify: Simplified to (- (/ (acos a) a)) * * * * [misc]progress: [ 32 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (- (acos a))) 1) * * [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 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (24 enodes) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * [exit]simplify: Simplified to (/ 1 (- (acos a))) * * * * [misc]progress: [ 33 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ 1 a) (- (acos a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (- (acos a)) a) * [exit]simplify: Simplified to (/ (- (acos a)) a) * * * * [misc]progress: [ 34 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (expm1 (/ 1 (- (acos a)))) * * * * [misc]progress: [ 35 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (log1p (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (log1p (/ 1 (- (acos a)))) * * * * [misc]progress: [ 36 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (acos a)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (- (log (- (acos a)))) * [exit]simplify: Simplified to (- (log (- (acos a)))) * * * * [misc]progress: [ 39 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (log (- (acos a)))) * [exit]simplify: Simplified to (- (log (- (acos a)))) * * * * [misc]progress: [ 40 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (exp (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (exp (/ 1 (- (acos a)))) * * * * [misc]progress: [ 41 / 51 ] simplifiying candidate # * [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: [ 42 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))) * [exit]simplify: Simplified to (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))) * * * * [misc]progress: [ 43 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- (acos a)))) * [exit]simplify: Simplified to (sqrt (/ 1 (- (acos a)))) * * * * [misc]progress: [ 44 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (acos a) * [exit]simplify: Simplified to (acos a) * * * * [misc]progress: [ 45 / 51 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 51 ] 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: [ 47 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (acos a)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (- (/ (acos a) 1)) * [exit]simplify: Simplified to (- (/ (acos a) 1)) * * * * [misc]progress: [ 48 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 49 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 -1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 -1) * [exit]simplify: Simplified to (/ 1 -1) * * * * [misc]progress: [ 50 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ 1 (- 1)) * [exit]simplify: Simplified to (/ 1 (- 1)) * * * * [misc]progress: [ 51 / 51 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 a +inf.0)) , with alts (#) * [enter]simplify: Simplifying (/ a (- (acos a))) * * [misc]simplify: iters left: 5 (4 enodes) * [exit]simplify: Simplified to (/ a (- (acos a))) * [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))) * [enter]simplify: Simplifying (cube (/ 1 (- (acos a)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))) * [exit]simplify: Simplified to (/ (/ (/ 1 (acos a)) (acos a)) (- (acos a))) * [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)))) * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [exit]simplify: Simplified to (/ 1 a) * [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))))