* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (- (atan2 (atan2 a c) a) (log a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log 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 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (atan2 (atan2 a c) a) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in a * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in a * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]approximate: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]approximate: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (atan2 a c) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 a c) in c * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of (atan2 a c) in a * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of (atan2 a c) in a * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of (atan2 a c) in c * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (atan2 (atan2 a c) a) (log a)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (- (atan2 (atan2 a c) a) (log a)) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (log a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (- (atan2 (atan2 a c) a) (log a)) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in a * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (atan2 (atan2 a c) a) (log a)) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in a * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) 0) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (atan2 (atan2 a c) a) (- (log a))) into (- (atan2 (atan2 a c) a) (log a)) * [misc]taylor: Taking taylor expansion of (- (atan2 (atan2 a c) a) (log a)) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (log a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (+ (atan2 (atan2 a c) a) (- (log a))) into (- (atan2 (atan2 a c) a) (log a)) * [misc]backup-simplify: Simplify (- (atan2 (atan2 a c) a) (log a)) into (- (atan2 (atan2 a c) a) (log a)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (atan2 (atan2 a c) a) (log a)) into (- (atan2 (atan2 a c) a) (log a)) * [misc]approximate: Taking taylor expansion of (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log (/ 1 a))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (log (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (log (/ 1 a)) into (log (/ 1 a)) * [misc]taylor: Taking taylor expansion of (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (- (- (log a))) into (log a) * [misc]backup-simplify: Simplify (+ (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log a)) into (+ (log a) (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (+ (log a) (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (log a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (+ (log a) (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (+ (log a) (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]backup-simplify: Simplify (+ (log a) (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (+ (log a) (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (log a) (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (+ (log a) (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]approximate: Taking taylor expansion of (- (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) (log (/ 1 (- a)))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (- (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) (log (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (log (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (log (/ -1 a)) into (log (/ -1 a)) * [misc]taylor: Taking taylor expansion of (- (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) (log (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (log (/ 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) (log (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (log (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (- (- (log -1) (log a))) into (- (log a) (log -1)) * [misc]backup-simplify: Simplify (+ (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) (- (log a) (log -1))) into (- (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (log -1)) * [misc]taylor: Taking taylor expansion of (- (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (log -1)) in c * [misc]taylor: Taking taylor expansion of (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) in c * [misc]taylor: Taking taylor expansion of (log a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (log -1) in c * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) * [misc]backup-simplify: Simplify (- (log -1)) into (- (log -1)) * [misc]backup-simplify: Simplify (+ (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (- (log -1))) into (- (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (log -1)) * [misc]backup-simplify: Simplify (- (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (log -1)) into (- (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (log -1)) * [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 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow a 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (/ (* (pow (* 1 0) 2)) (pow a 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow a 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (log -1)) into (- (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (log -1)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (log a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- -1) (log a)) 0) into (log a) * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (log a) into (log a) * [misc]approximate: Taking taylor expansion of (log (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) 0) into (- (log a)) * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (log a)) into (- (log a)) * [misc]approximate: Taking taylor expansion of (log (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (log (/ 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 (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log (/ 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 (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log a)) (log -1)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (- (log -1) (log a)) into (- (log -1) (log a)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) 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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow -1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow -1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow -1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow -1 1)))) 24) 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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow -1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow -1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow -1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow -1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow -1 1)))) 120) 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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow -1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow -1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow -1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow -1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow -1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow -1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow -1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow -1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow -1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow -1 1)))) 720) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (log -1) (log a)) into (- (log -1) (log a)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 a c) a) (log a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 2 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log a)) * * * * [misc]progress: [ 3 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) (log a)) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) (log a)) * * * * [misc]progress: [ 4 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 a c) a) (log a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 5 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 (/ 1 a) (/ 1 c)) a) (log a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ 1 a) (/ 1 c)) a) (log a)) * * * * [misc]progress: [ 6 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 (/ -1 a) (/ -1 c)) a) (log a)) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) a) (log a)) * * * * [misc]progress: [ 7 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 a c) a) (log a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 8 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log a) (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log a)) * * * * [misc]progress: [ 9 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log a) (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (log -1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) (- (log -1) (log a))) * * * * [misc]progress: [ 10 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 a c) a) (log a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 11 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 a c) a) (- (log a))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (- (log a))) * * * * [misc]progress: [ 12 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 a c) a) (- (log -1) (log a))) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (- (log -1) (log a))) * * * * [misc]progress: [ 13 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (expm1 (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (expm1 (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 14 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log1p (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (log1p (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 15 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (log (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 17 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (exp (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (exp (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 18 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (cbrt (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 19 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cube (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (cube (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 20 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (sqrt (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 21 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (atan2 a c)) * [exit]simplify: Simplified to (expm1 (atan2 a c)) * * * * [misc]progress: [ 23 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (atan2 a c)) * [exit]simplify: Simplified to (log1p (atan2 a c)) * * * * [misc]progress: [ 24 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (atan2 a c)) * [exit]simplify: Simplified to (log (atan2 a c)) * * * * [misc]progress: [ 26 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (atan2 a c)) * [exit]simplify: Simplified to (exp (atan2 a c)) * * * * [misc]progress: [ 27 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (atan2 a c)) * [exit]simplify: Simplified to (cbrt (atan2 a c)) * * * * [misc]progress: [ 28 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (atan2 a c)) * [exit]simplify: Simplified to (cube (atan2 a c)) * * * * [misc]progress: [ 29 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * * * * [misc]progress: [ 30 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (- (atan2 (atan2 a c) a) (log a))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (expm1 (- (atan2 (atan2 a c) a) (log a))) * [exit]simplify: Simplified to (expm1 (- (atan2 (atan2 a c) a) (log a))) * * * * [misc]progress: [ 32 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (- (atan2 (atan2 a c) a) (log a))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (log1p (- (atan2 (atan2 a c) a) (log a))) * [exit]simplify: Simplified to (log1p (- (atan2 (atan2 a c) a) (log a))) * * * * [misc]progress: [ 33 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (atan2 (atan2 a c) a)) a) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (exp (atan2 (atan2 a c) a)) a) * [exit]simplify: Simplified to (/ (exp (atan2 (atan2 a c) a)) a) * * * * [misc]progress: [ 34 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (atan2 (atan2 a c) a) (log a))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (log (- (atan2 (atan2 a c) a) (log a))) * [exit]simplify: Simplified to (log (- (atan2 (atan2 a c) a) (log a))) * * * * [misc]progress: [ 36 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (- (atan2 (atan2 a c) a) (log a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (exp (atan2 (atan2 a c) a)) a) * [exit]simplify: Simplified to (/ (exp (atan2 (atan2 a c) a)) a) * * * * [misc]progress: [ 37 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (atan2 (atan2 a c) a) (log a))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (atan2 (atan2 a c) a) (log a))) * [exit]simplify: Simplified to (cbrt (- (atan2 (atan2 a c) a) (log a))) * * * * [misc]progress: [ 38 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (- (atan2 (atan2 a c) a) (log a))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (cube (- (atan2 (atan2 a c) a) (log a))) * [exit]simplify: Simplified to (cube (- (atan2 (atan2 a c) a) (log a))) * * * * [misc]progress: [ 39 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (atan2 (atan2 a c) a) (log a))) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (- (atan2 (atan2 a c) a) (log a))) * [exit]simplify: Simplified to (sqrt (- (atan2 (atan2 a c) a) (log a))) * * * * [misc]progress: [ 40 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (log a)) * [exit]simplify: Simplified to (- (log a)) * * * * [misc]progress: [ 41 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (atan2 (atan2 a c) a) 3) (pow (log a) 3)) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (- (cube (atan2 (atan2 a c) a)) (cube (log a))) * [exit]simplify: Simplified to (- (cube (atan2 (atan2 a c) a)) (cube (log a))) * [enter]simplify: Simplifying (+ (sqr (atan2 (atan2 a c) a)) (+ (sqr (log a)) (* (atan2 (atan2 a c) a) (log a)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (fma (log a) (+ (log a) (atan2 (atan2 a c) a)) (* (atan2 (atan2 a c) a) (atan2 (atan2 a c) a))) * [exit]simplify: Simplified to (fma (log a) (+ (log a) (atan2 (atan2 a c) a)) (* (atan2 (atan2 a c) a) (atan2 (atan2 a c) a))) * * * * [misc]progress: [ 43 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqr (atan2 (atan2 a c) a)) (sqr (log a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (- (* (atan2 (atan2 a c) a) (atan2 (atan2 a c) a)) (* (log a) (log a))) * [exit]simplify: Simplified to (- (* (atan2 (atan2 a c) a) (atan2 (atan2 a c) a)) (* (log a) (log a))) * [enter]simplify: Simplifying (+ (atan2 (atan2 a c) a) (log a)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (log a) (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (+ (log a) (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 44 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (atan2 (atan2 a c) a)) (sqrt (log a))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (sqrt (atan2 (atan2 a c) a)) (sqrt (log a))) * [exit]simplify: Simplified to (+ (sqrt (atan2 (atan2 a c) a)) (sqrt (log a))) * [enter]simplify: Simplifying (- (sqrt (atan2 (atan2 a c) a)) (sqrt (log a))) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (- (sqrt (atan2 (atan2 a c) a)) (sqrt (log a))) * [exit]simplify: Simplified to (- (sqrt (atan2 (atan2 a c) a)) (sqrt (log a))) * * * * [misc]progress: [ 45 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 a c) a) (log a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 46 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (log a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (log a)) * [exit]simplify: Simplified to (expm1 (log a)) * * * * [misc]progress: [ 47 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (log a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (log a)) * [exit]simplify: Simplified to (log1p (log a)) * * * * [misc]progress: [ 48 / 54 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (log a)) * [exit]simplify: Simplified to (log (log a)) * * * * [misc]progress: [ 50 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to a * [exit]simplify: Simplified to a * * * * [misc]progress: [ 51 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (log a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (log a)) * [exit]simplify: Simplified to (cbrt (log a)) * * * * [misc]progress: [ 52 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (log a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (log a)) * [exit]simplify: Simplified to (cube (log a)) * * * * [misc]progress: [ 53 / 54 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (log a)) * [exit]simplify: Simplified to (sqrt (log a)) * * * * [misc]progress: [ 54 / 54 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (atan2 (atan2 a c) a) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in a * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in a * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]approximate: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]approximate: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (exp (atan2 (atan2 a c) a)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 a c) a)) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 a c) a)) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in a * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 a c) a)) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in a * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 a c) a)) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 a c) a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 a c) a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 a c) a)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* (exp (atan2 (atan2 a c) a)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 a c) a)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]approximate: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]approximate: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (exp (atan2 (atan2 a c) a)) a) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (atan2 (atan2 a c) a)) a) in c * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 a c) a)) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ (exp (atan2 (atan2 a c) a)) a) into (/ (exp (atan2 (atan2 a c) a)) a) * [misc]taylor: Taking taylor expansion of (/ (exp (atan2 (atan2 a c) a)) a) in a * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 a c) a)) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in a * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (atan2 (atan2 a c) a)) 1) into (exp (atan2 (atan2 a c) a)) * [misc]taylor: Taking taylor expansion of (/ (exp (atan2 (atan2 a c) a)) a) in a * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 a c) a)) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in a * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ (exp (atan2 (atan2 a c) a)) 1) into (exp (atan2 (atan2 a c) a)) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 a c) a)) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 a c) a)) into (exp (atan2 (atan2 a c) a)) * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 a c) a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (atan2 (atan2 a c) a)) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 a c) a)) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 a c) a)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (atan2 (atan2 a c) a)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* (exp (atan2 (atan2 a c) a)) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 a c) a)) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (atan2 (atan2 a c) a)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 a c) a)) (* 1 (/ 1 a))) into (/ (exp (atan2 (atan2 a c) a)) a) * [misc]approximate: Taking taylor expansion of (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (/ 1 a)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (/ 1 a)) in c * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (/ 1 a) into (/ 1 a) * [misc]backup-simplify: Simplify (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (/ 1 a)) into (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) a) * [misc]taylor: Taking taylor expansion of (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 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 (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) 1) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 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 (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) 1) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) into (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) (* 1 (/ 1 a))) into (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) a) * [misc]approximate: Taking taylor expansion of (/ (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) (/ 1 (- a))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (/ (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) (/ 1 (- a))) in c * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (- a)) in c * [misc]taylor: Taking taylor expansion of (- a) in c * [misc]taylor: Taking taylor expansion of a in c * [misc]backup-simplify: Simplify a into a * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (- a) into (- a) * [misc]backup-simplify: Simplify (/ 1 (- a)) into (/ -1 a) * [misc]backup-simplify: Simplify (/ (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (/ -1 a)) into (* -1 (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) a)) * [misc]taylor: Taking taylor expansion of (/ (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -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 (/ (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) -1) into (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (/ (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 (- a)) (/ 1 (- c))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -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 (/ (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) -1) into (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) * [misc]taylor: Taking taylor expansion of (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) in c * [misc]taylor: Taking taylor expansion of -1 in c * [misc]backup-simplify: Simplify -1 into -1 * [misc]taylor: Taking taylor expansion of (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) in c * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) into (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) * [misc]backup-simplify: Simplify (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) into (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) * [misc]backup-simplify: Simplify (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) into (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) (/ 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [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 (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (* -1 (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)))) (* 1 (/ 1 (- a)))) into (/ (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) a) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (atan2 a c) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 a c) in c * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of (atan2 a c) in a * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of (atan2 a c) in a * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of (atan2 a c) in c * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 2 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log a)) * * * * [misc]progress: [ 3 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) (log a)) * * * * [misc]progress: [ 4 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 5 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log a)) * * * * [misc]progress: [ 6 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) (log a)) * * * * [misc]progress: [ 7 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 8 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a))) a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log a)) * * * * [misc]progress: [ 9 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a))) a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) (log a)) * * * * [misc]progress: [ 10 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 11 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 (/ 1 a) (/ 1 c)) a)) a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ 1 a) (/ 1 c)) a) (log a)) * * * * [misc]progress: [ 12 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 (/ -1 a) (/ -1 c)) a)) a)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) a) (log a)) * * * * [misc]progress: [ 13 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (expm1 (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (expm1 (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 14 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log1p (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (log1p (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 15 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (log (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 17 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (exp (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (exp (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 18 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (cbrt (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 19 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cube (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (cube (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 20 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (atan2 a c) a)) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (sqrt (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 21 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (exp (atan2 (atan2 a c) a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (expm1 (exp (atan2 (atan2 a c) a))) * [exit]simplify: Simplified to (expm1 (exp (atan2 (atan2 a c) a))) * * * * [misc]progress: [ 23 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (exp (atan2 (atan2 a c) a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (log1p (exp (atan2 (atan2 a c) a))) * [exit]simplify: Simplified to (log1p (exp (atan2 (atan2 a c) a))) * * * * [misc]progress: [ 24 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [exit]simplify: Simplified to E * * * * [misc]progress: [ 26 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (exp (atan2 (atan2 a c) a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (atan2 (atan2 a c) a) * [exit]simplify: Simplified to (atan2 (atan2 a c) a) * * * * [misc]progress: [ 27 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (exp (atan2 (atan2 a c) a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (exp (exp (atan2 (atan2 a c) a))) * [exit]simplify: Simplified to (exp (exp (atan2 (atan2 a c) a))) * * * * [misc]progress: [ 28 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (exp (atan2 (atan2 a c) a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (cbrt (exp (atan2 (atan2 a c) a))) * [exit]simplify: Simplified to (cbrt (exp (atan2 (atan2 a c) a))) * * * * [misc]progress: [ 29 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (exp (atan2 (atan2 a c) a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (cube (exp (atan2 (atan2 a c) a))) * [exit]simplify: Simplified to (cube (exp (atan2 (atan2 a c) a))) * * * * [misc]progress: [ 30 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (atan2 (atan2 a c) a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt (exp (atan2 (atan2 a c) a))) * [exit]simplify: Simplified to (sqrt (exp (atan2 (atan2 a c) a))) * * * * [misc]progress: [ 31 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (expm1 (/ (exp (atan2 (atan2 a c) a)) a)) * [exit]simplify: Simplified to (expm1 (/ (exp (atan2 (atan2 a c) a)) a)) * * * * [misc]progress: [ 33 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (log1p (/ (exp (atan2 (atan2 a c) a)) a)) * [exit]simplify: Simplified to (log1p (/ (exp (atan2 (atan2 a c) a)) a)) * * * * [misc]progress: [ 34 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 36 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (exp (/ (exp (atan2 (atan2 a c) a)) a)) * [exit]simplify: Simplified to (exp (/ (exp (atan2 (atan2 a c) a)) a)) * * * * [misc]progress: [ 37 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ (exp (atan2 (atan2 a c) a)) a)) * [exit]simplify: Simplified to (cbrt (/ (exp (atan2 (atan2 a c) a)) a)) * * * * [misc]progress: [ 38 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (cube (/ (exp (atan2 (atan2 a c) a)) a)) * [exit]simplify: Simplified to (cube (/ (exp (atan2 (atan2 a c) a)) a)) * * * * [misc]progress: [ 39 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (exp (atan2 (atan2 a c) a)) a)) * * [misc]simplify: iters left: 6 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ (exp (atan2 (atan2 a c) a)) a)) * [exit]simplify: Simplified to (sqrt (/ (exp (atan2 (atan2 a c) a)) a)) * * * * [misc]progress: [ 40 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (atan2 (atan2 a c) a))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (- (exp (atan2 (atan2 a c) a))) * [exit]simplify: Simplified to (- (exp (atan2 (atan2 a c) a))) * [enter]simplify: Simplifying (- a) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- a) * [exit]simplify: Simplified to (- a) * * * * [misc]progress: [ 41 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 a) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 a) * [exit]simplify: Simplified to (/ 1 a) * * * * [misc]progress: [ 43 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (exp (atan2 (atan2 a c) a))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ a (exp (atan2 (atan2 a c) a))) * [exit]simplify: Simplified to (/ a (exp (atan2 (atan2 a c) a))) * * * * [misc]progress: [ 44 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (/ a (exp (atan2 (atan2 a c) a))) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ a (exp (atan2 (atan2 a c) a))) * [exit]simplify: Simplified to (/ a (exp (atan2 (atan2 a c) a))) * * * * [misc]progress: [ 45 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (atan2 a c)) * [exit]simplify: Simplified to (expm1 (atan2 a c)) * * * * [misc]progress: [ 46 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (atan2 a c)) * [exit]simplify: Simplified to (log1p (atan2 a c)) * * * * [misc]progress: [ 47 / 53 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (atan2 a c)) * [exit]simplify: Simplified to (log (atan2 a c)) * * * * [misc]progress: [ 49 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (atan2 a c)) * [exit]simplify: Simplified to (exp (atan2 a c)) * * * * [misc]progress: [ 50 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (atan2 a c)) * [exit]simplify: Simplified to (cbrt (atan2 a c)) * * * * [misc]progress: [ 51 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (atan2 a c)) * [exit]simplify: Simplified to (cube (atan2 a c)) * * * * [misc]progress: [ 52 / 53 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * * * * [misc]progress: [ 53 / 53 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 a c))) a) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 a c))) a) in c * [misc]backup-simplify: Simplify (atan2 (sqr (sqrt (atan2 a c))) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 a c))) a) in a * [misc]backup-simplify: Simplify (atan2 (sqr (sqrt (atan2 a c))) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 a c))) a) in a * [misc]backup-simplify: Simplify (atan2 (sqr (sqrt (atan2 a c))) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 a c) a) in c * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (atan2 a c) a) into (atan2 (atan2 a c) a) * [misc]approximate: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) (/ 1 a)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) (/ 1 a)) in a * [misc]backup-simplify: Simplify (atan2 (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) into (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) * [misc]approximate: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) (/ 1 (- a))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) (/ 1 (- a))) in c * [misc]backup-simplify: Simplify (atan2 (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (atan2 (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) (/ 1 (- a))) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) in c * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) into (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 a c)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 a c)) in c * [misc]taylor: Taking taylor expansion of (atan2 a c) in c * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (sqrt (atan2 a c)) into (sqrt (atan2 a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 a c)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 a c)) in a * [misc]taylor: Taking taylor expansion of (atan2 a c) in a * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (sqrt (atan2 a c)) into (sqrt (atan2 a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 a c)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 a c)) in a * [misc]taylor: Taking taylor expansion of (atan2 a c) in a * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (sqrt (atan2 a c)) into (sqrt (atan2 a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 a c)))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 a c)) in c * [misc]taylor: Taking taylor expansion of (atan2 a c) in c * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (sqrt (atan2 a c)) into (sqrt (atan2 a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 a c)))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 a c)) into (sqrt (atan2 a c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 a c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 a c)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 a c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 a c)) into (sqrt (atan2 a c)) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (/ 1 a) (/ 1 c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ 1 a) (/ 1 c))) into (sqrt (atan2 (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ 1 a) (/ 1 c))) into (sqrt (atan2 (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ 1 a) (/ 1 c))) into (sqrt (atan2 (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ 1 a) (/ 1 c))) into (sqrt (atan2 (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 (/ 1 a) (/ 1 c))) into (sqrt (atan2 (/ 1 a) (/ 1 c))) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 (/ 1 a) (/ 1 c))) into (sqrt (atan2 (/ 1 a) (/ 1 c))) * [misc]approximate: Taking taylor expansion of (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c)))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ -1 a) (/ -1 c))) into (sqrt (atan2 (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ -1 a) (/ -1 c))) into (sqrt (atan2 (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ -1 a) (/ -1 c))) into (sqrt (atan2 (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ -1 a) (/ -1 c))) in c * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ -1 a) (/ -1 c))) into (sqrt (atan2 (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 (/ -1 a) (/ -1 c))) into (sqrt (atan2 (/ -1 a) (/ -1 c))) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (atan2 (/ -1 a) (/ -1 c))) into (sqrt (atan2 (/ -1 a) (/ -1 c))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 a c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 a c))) in c * [misc]taylor: Taking taylor expansion of (sqrt (atan2 a c)) in c * [misc]taylor: Taking taylor expansion of (atan2 a c) in c * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (sqrt (atan2 a c)) into (sqrt (atan2 a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 a c)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 a c))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan2 a c)) in a * [misc]taylor: Taking taylor expansion of (atan2 a c) in a * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (sqrt (atan2 a c)) into (sqrt (atan2 a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 a c)))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 a c))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan2 a c)) in a * [misc]taylor: Taking taylor expansion of (atan2 a c) in a * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (sqrt (atan2 a c)) into (sqrt (atan2 a c)) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 a c)))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 a c)) (sqrt (atan2 a c))) into (atan2 a c) * [misc]taylor: Taking taylor expansion of (atan2 a c) in c * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 a c)) 0) (* 0 (sqrt (atan2 a c)))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 a c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 a c)) 0) (+ (* 0 0) (* 0 (sqrt (atan2 a c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 a c)))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 a c)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 a c)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) in c * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 a) (/ 1 c))) in c * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ 1 a) (/ 1 c))) into (sqrt (atan2 (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ 1 a) (/ 1 c))) into (sqrt (atan2 (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 a) (/ 1 c))) in a * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ 1 a) (/ 1 c))) into (sqrt (atan2 (/ 1 a) (/ 1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 (/ 1 a) (/ 1 c))) (sqrt (atan2 (/ 1 a) (/ 1 c)))) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 (/ 1 a) (/ 1 c))) 0) (* 0 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 (/ 1 a) (/ 1 c))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ 1 a) (/ 1 c)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ 1 a) (/ 1 c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 (/ 1 a) (/ 1 c))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ 1 a) (/ 1 c))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) in c * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c)))) in c * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ -1 a) (/ -1 c))) into (sqrt (atan2 (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ -1 a) (/ -1 c))) into (sqrt (atan2 (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (atan2 (/ 1 (- a)) (/ 1 (- c)))) in a * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (sqrt (atan2 (/ -1 a) (/ -1 c))) into (sqrt (atan2 (/ -1 a) (/ -1 c))) * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (atan2 (/ -1 a) (/ -1 c))) (sqrt (atan2 (/ -1 a) (/ -1 c)))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 (/ -1 a) (/ -1 c))) 0) (* 0 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 (/ -1 a) (/ -1 c))) 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ -1 a) (/ -1 c)))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (atan2 (/ -1 a) (/ -1 c))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (atan2 (/ -1 a) (/ -1 c))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (atan2 (/ -1 a) (/ -1 c))))))) into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (atan2 a c) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 a c) in c * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of (atan2 a c) in a * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of (atan2 a c) in a * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of (atan2 a c) in c * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 a c) into (atan2 a c) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 a) (/ 1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ 1 a) (/ 1 c)) into (atan2 (/ 1 a) (/ 1 c)) * [misc]approximate: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in (a c) around 0 * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in c * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ 1 (- a)) (/ 1 (- c))) in a * [misc]backup-simplify: Simplify (atan2 (/ 1 (- a)) (/ 1 (- c))) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of (atan2 (/ -1 a) (/ -1 c)) in c * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]taylor: Taking taylor expansion of 0 in c * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan2 (/ -1 a) (/ -1 c)) into (atan2 (/ -1 a) (/ -1 c)) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 a c) a) (log a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 2 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ 1 a) (/ 1 c)) (/ 1 a)) (log a)) * * * * [misc]progress: [ 3 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) (log a)) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) (/ -1 a)) (log a)) * * * * [misc]progress: [ 4 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (sqr (sqrt (atan2 a c))) a) (log a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 5 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) a) (log a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ 1 a) (/ 1 c)) a) (log a)) * * * * [misc]progress: [ 6 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (sqr (sqrt (atan2 (/ -1 a) (/ -1 c)))) a) (log a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) a) (log a)) * * * * [misc]progress: [ 7 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 a c) a) (log a)) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 8 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 (/ 1 a) (/ 1 c)) a) (log a)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ 1 a) (/ 1 c)) a) (log a)) * * * * [misc]progress: [ 9 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (atan2 (/ -1 a) (/ -1 c)) a) (log a)) * * [misc]simplify: iters left: 6 (9 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) a) (log a)) * * * * [misc]progress: [ 10 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (sqr (sqrt (atan2 a c))) a) (log a)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 a c) a) (log a)) * * * * [misc]progress: [ 11 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (sqr (sqrt (atan2 (/ 1 a) (/ 1 c)))) a) (log a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ 1 a) (/ 1 c)) a) (log a)) * * * * [misc]progress: [ 12 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (- (atan2 (sqr (sqrt (atan2 (/ -1 a) (/ -1 c)))) a) (log a)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- (atan2 (atan2 (/ -1 a) (/ -1 c)) a) (log a)) * * * * [misc]progress: [ 13 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 (sqr (sqrt (atan2 a c))) a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (expm1 (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (expm1 (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 14 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 (sqr (sqrt (atan2 a c))) a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log1p (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (log1p (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 15 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 (sqr (sqrt (atan2 a c))) a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (log (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (log (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 17 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 (sqr (sqrt (atan2 a c))) a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (exp (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (exp (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 18 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 (sqr (sqrt (atan2 a c))) a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (cbrt (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (cbrt (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 19 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 (sqr (sqrt (atan2 a c))) a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (cube (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (cube (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 20 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 (sqr (sqrt (atan2 a c))) a)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt (atan2 (atan2 a c) a)) * [exit]simplify: Simplified to (sqrt (atan2 (atan2 a c) a)) * * * * [misc]progress: [ 21 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (atan2 a c))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 a c))) * [exit]simplify: Simplified to (expm1 (sqrt (atan2 a c))) * * * * [misc]progress: [ 23 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (atan2 a c))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log1p (sqrt (atan2 a c))) * [exit]simplify: Simplified to (log1p (sqrt (atan2 a c))) * * * * [misc]progress: [ 24 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (atan2 a c))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (log (sqrt (atan2 a c))) * [exit]simplify: Simplified to (log (sqrt (atan2 a c))) * * * * [misc]progress: [ 27 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (atan2 a c))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt (atan2 a c))) * [exit]simplify: Simplified to (exp (sqrt (atan2 a c))) * * * * [misc]progress: [ 28 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan2 a c))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 a c))) * [exit]simplify: Simplified to (cbrt (sqrt (atan2 a c))) * * * * [misc]progress: [ 29 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (atan2 a c))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (atan2 a c)) (atan2 a c)) * [exit]simplify: Simplified to (* (sqrt (atan2 a c)) (atan2 a c)) * * * * [misc]progress: [ 30 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * * * * [misc]progress: [ 31 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (atan2 a c))) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 a c))) * [exit]simplify: Simplified to (sqrt (sqrt (atan2 a c))) * * * * [misc]progress: [ 32 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqr (sqrt (atan2 a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (expm1 (atan2 a c)) * [exit]simplify: Simplified to (expm1 (atan2 a c)) * * * * [misc]progress: [ 35 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqr (sqrt (atan2 a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (log1p (atan2 a c)) * [exit]simplify: Simplified to (log1p (atan2 a c)) * * * * [misc]progress: [ 36 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (atan2 a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (atan2 a c)) * [exit]simplify: Simplified to (log (atan2 a c)) * * * * [misc]progress: [ 39 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (atan2 a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (exp (atan2 a c)) * [exit]simplify: Simplified to (exp (atan2 a c)) * * * * [misc]progress: [ 40 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (atan2 a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (cbrt (atan2 a c)) * [exit]simplify: Simplified to (cbrt (atan2 a c)) * * * * [misc]progress: [ 41 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (atan2 a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (cube (atan2 a c)) * [exit]simplify: Simplified to (cube (atan2 a c)) * * * * [misc]progress: [ 42 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (atan2 a c)))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (9 enodes) * * [misc]simplify: iters left: 1 (10 enodes) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * * * * [misc]progress: [ 43 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (sqr (sqrt (atan2 a c))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (atan2 a c) * [exit]simplify: Simplified to (atan2 a c) * * * * [misc]progress: [ 44 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqr 1) * [exit]simplify: Simplified to (sqr 1) * [enter]simplify: Simplifying (sqr (sqrt (atan2 a c))) * * [misc]simplify: iters left: 3 (5 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (atan2 a c) * [exit]simplify: Simplified to (atan2 a c) * * * * [misc]progress: [ 45 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (expm1 (atan2 a c)) * [exit]simplify: Simplified to (expm1 (atan2 a c)) * * * * [misc]progress: [ 48 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log1p (atan2 a c)) * [exit]simplify: Simplified to (log1p (atan2 a c)) * * * * [misc]progress: [ 49 / 55 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (log (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (log (atan2 a c)) * [exit]simplify: Simplified to (log (atan2 a c)) * * * * [misc]progress: [ 51 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (exp (atan2 a c)) * [exit]simplify: Simplified to (exp (atan2 a c)) * * * * [misc]progress: [ 52 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (cbrt (atan2 a c)) * [exit]simplify: Simplified to (cbrt (atan2 a c)) * * * * [misc]progress: [ 53 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cube (atan2 a c)) * [exit]simplify: Simplified to (cube (atan2 a c)) * * * * [misc]progress: [ 54 / 55 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * * * * [misc]progress: [ 55 / 55 ] simplifiying candidate # * * * [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 (atan2 (atan2 a c) a) +inf.0)) , with alts (#) * [enter]simplify: Simplifying (sqrt (atan2 a c)) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * [exit]simplify: Simplified to (sqrt (atan2 a c)) * [enter]simplify: Simplifying (/ (exp (atan2 (atan2 a c) a)) a) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (/ (exp (atan2 (atan2 a c) a)) a) * [exit]simplify: Simplified to (/ (exp (atan2 (atan2 a c) a)) a)