* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * [misc]progress: [2/2] Setting up program. * [enter]simplify: Simplifying (* (expm1 a) (cotan a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * [misc]progress: [Phase 2 of 3] Improving. * * [misc]progress: iteration 1 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (expm1 a) (cotan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 a) (cotan a)) in a * [misc]taylor: Taking taylor expansion of (expm1 a) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (expm1 a) (cotan a)) in a * [misc]taylor: Taking taylor expansion of (expm1 a) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (expm1 a) 1) into (expm1 a) * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (+ (* (expm1 a) -1/3) (+ (* 0 0) (* 0 1))) into (- (* 1/3 (expm1 a))) * [misc]backup-simplify: Simplify (- (* 1/3 (expm1 a))) into (- (* 1/3 (expm1 a))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 a) 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (- (/ 1/24 1) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* -1/3 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/45 * [misc]backup-simplify: Simplify (+ (* (expm1 a) -1/45) (+ (* 0 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 1))))) into (- (* 1/45 (expm1 a))) * [misc]backup-simplify: Simplify (- (* 1/45 (expm1 a))) into (- (* 1/45 (expm1 a))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/45 (expm1 a))) (pow a 3)) (+ (* (- (* 1/3 (expm1 a))) a) (* (expm1 a) (/ 1 a)))) into (- (/ (expm1 a) a) (+ (* 1/45 (* (expm1 a) (pow a 3))) (* 1/3 (* (expm1 a) a)))) * [misc]approximate: Taking taylor expansion of (* (expm1 (/ 1 a)) (cotan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (cotan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 a)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (cotan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 a)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ 1 a)) (/ (cos (/ 1 a)) (sin (/ 1 a)))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]approximate: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ -1 a)) (/ (cos (/ -1 a)) (sin (/ -1 a)))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cotan a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (- (/ 1/24 1) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* -1/3 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/45 * [misc]backup-simplify: Simplify -1/45 into -1/45 * [misc]backup-simplify: Simplify (+ (* -1/45 (pow a 3)) (+ (* -1/3 a) (* 1 (/ 1 a)))) into (- (/ 1 a) (+ (* 1/45 (pow a 3)) (* 1/3 a))) * [misc]approximate: Taking taylor expansion of (cotan (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]approximate: Taking taylor expansion of (cotan (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (expm1 a) a) (+ (* 1/45 (* (expm1 a) (pow a 3))) (* 1/3 (* (expm1 a) a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (- (/ (expm1 a) a) (* (* (expm1 a) a) (+ 1/3 (* (sqr a) 1/45)))) * * * * [misc]progress: [ 2 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (* (expm1 (/ 1 a)) (cos (/ 1 a))) (sin (/ 1 a))) * * * * [misc]progress: [ 3 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (* (cos (/ -1 a)) (expm1 (/ -1 a))) (sin (/ -1 a))) * * * * [misc]progress: [ 4 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (- (/ 1 a) (+ (* 1/45 (pow a 3)) (* 1/3 a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (expm1 a) (- (- (/ 1 a) (* 1/45 (cube a))) (* a 1/3))) * * * * [misc]progress: [ 5 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (/ (cos (/ 1 a)) (sin (/ 1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (cos (/ 1 a)) (/ (sin (/ 1 a)) (expm1 a))) * * * * [misc]progress: [ 6 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (/ (cos (/ -1 a)) (sin (/ -1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (* (/ (expm1 a) (sin (/ -1 a))) (cos (/ -1 a))) * * * * [misc]progress: [ 7 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (cotan a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * * * * [misc]progress: [ 8 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (expm1 a)) (log (cotan a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (log (cotan a)) (log (expm1 a))) * [exit]simplify: Simplified to (+ (log (cotan a)) (log (expm1 a))) * * * * [misc]progress: [ 10 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (log (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 11 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (exp (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 12 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (expm1 a)) (cube (cotan a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (cube (cotan a)) (cube (expm1 a))) * [exit]simplify: Simplified to (* (cube (cotan a)) (cube (expm1 a))) * * * * [misc]progress: [ 13 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (cbrt (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 14 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cube (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (cube (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 15 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 a)) (cbrt (cotan a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cotan a)) (cbrt (expm1 a))) * [exit]simplify: Simplified to (* (cbrt (cotan a)) (cbrt (expm1 a))) * * * * [misc]progress: [ 16 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (sqrt (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 17 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 a)) (sqrt (cotan a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (cotan a)) (sqrt (expm1 a))) * [exit]simplify: Simplified to (* (sqrt (cotan a)) (sqrt (expm1 a))) * * * * [misc]progress: [ 18 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (expm1 a) * [exit]simplify: Simplified to (expm1 a) * * * * [misc]progress: [ 21 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (cotan a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * * * * [misc]progress: [ 22 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (cos a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cos a)) * [exit]simplify: Simplified to (* (expm1 a) (cos a)) * * * * [misc]progress: [ 23 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (expm1 a) * [exit]simplify: Simplified to (expm1 a) * * * * [misc]progress: [ 24 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (cos a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos a) * [exit]simplify: Simplified to (cos a) * [enter]simplify: Simplifying (sin a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin a) * [exit]simplify: Simplified to (sin a) * * * * [misc]progress: [ 26 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (tan a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan a) * [exit]simplify: Simplified to (tan a) * * * * [misc]progress: [ 27 / 33 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (cotan a)) * [exit]simplify: Simplified to (log (cotan a)) * * * * [misc]progress: [ 29 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (cotan a)) * [exit]simplify: Simplified to (exp (cotan a)) * * * * [misc]progress: [ 30 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cotan a)) * [exit]simplify: Simplified to (cbrt (cotan a)) * * * * [misc]progress: [ 31 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (cotan a)) * [exit]simplify: Simplified to (cube (cotan a)) * * * * [misc]progress: [ 32 / 33 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cotan a)) * [exit]simplify: Simplified to (sqrt (cotan a)) * * * * [misc]progress: [ 33 / 33 ] 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 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (* (expm1 a) (cos a)) (sin a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (expm1 a) (cos a)) (sin a)) in a * [misc]taylor: Taking taylor expansion of (* (expm1 a) (cos a)) in a * [misc]taylor: Taking taylor expansion of (expm1 a) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (* (expm1 a) 1) into (expm1 a) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ (expm1 a) 1) into (expm1 a) * [misc]taylor: Taking taylor expansion of (/ (* (expm1 a) (cos a)) (sin a)) in a * [misc]taylor: Taking taylor expansion of (* (expm1 a) (cos a)) in a * [misc]taylor: Taking taylor expansion of (expm1 a) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (* (expm1 a) 1) into (expm1 a) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ (expm1 a) 1) into (expm1 a) * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (expm1 a) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* (expm1 a) (- 1/2)) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (expm1 a))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- (* 1/2 (expm1 a))) 1) (+ (* (expm1 a) (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into (- (* 1/3 (expm1 a))) * [misc]backup-simplify: Simplify (- (* 1/3 (expm1 a))) into (- (* 1/3 (expm1 a))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 a) 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (expm1 a) (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* (- (* 1/3 (expm1 a))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* (expm1 a) 1/24) (+ (* 0 0) (+ (* 0 (- 1/2)) (+ (* 0 0) (* 0 1))))) into (* 1/24 (expm1 a)) * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (- (/ (* 1/24 (expm1 a)) 1) (+ (* (expm1 a) (/ 1/120 1)) (* 0 (/ 0 1)) (* (- (* 1/3 (expm1 a))) (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into (- (* 1/45 (expm1 a))) * [misc]backup-simplify: Simplify (- (* 1/45 (expm1 a))) into (- (* 1/45 (expm1 a))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/45 (expm1 a))) (pow a 3)) (+ (* (- (* 1/3 (expm1 a))) a) (* (expm1 a) (/ 1 a)))) into (- (/ (expm1 a) a) (+ (* 1/45 (* (expm1 a) (pow a 3))) (* 1/3 (* (expm1 a) a)))) * [misc]approximate: Taking taylor expansion of (/ (* (expm1 (/ 1 a)) (cos (/ 1 a))) (sin (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (expm1 (/ 1 a)) (cos (/ 1 a))) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (cos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 a)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (expm1 (/ 1 a)) (cos (/ 1 a))) into (* (cos (/ 1 a)) (expm1 (/ 1 a))) * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ (* (expm1 (/ 1 a)) (cos (/ 1 a))) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (cos (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 a)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (* (expm1 (/ 1 a)) (cos (/ 1 a))) into (* (cos (/ 1 a)) (expm1 (/ 1 a))) * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (* 0 (cos (/ 1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (* 0 (cos (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]approximate: Taking taylor expansion of (/ (* (expm1 (/ 1 (- a))) (cos (/ 1 (- a)))) (sin (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (expm1 (/ 1 (- a))) (cos (/ 1 (- a)))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (expm1 (/ -1 a)) (cos (/ -1 a))) into (* (expm1 (/ -1 a)) (cos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ (* (expm1 (/ 1 (- a))) (cos (/ 1 (- a)))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cos (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (* (expm1 (/ -1 a)) (cos (/ -1 a))) into (* (expm1 (/ -1 a)) (cos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (* 0 (cos (/ -1 a)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (* 0 (cos (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1 a))))))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (expm1 a) a) (+ (* 1/45 (* (expm1 a) (pow a 3))) (* 1/3 (* (expm1 a) a)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (- (/ (expm1 a) a) (* (* (expm1 a) a) (+ 1/3 (* (sqr a) 1/45)))) * * * * [misc]progress: [ 2 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (* (expm1 (/ 1 a)) (cos (/ 1 a))) (sin (/ 1 a))) * * * * [misc]progress: [ 3 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (* (cos (/ -1 a)) (expm1 (/ -1 a))) (sin (/ -1 a))) * * * * [misc]progress: [ 4 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (expm1 a)) (log (cos a))) (log (sin a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (+ (- (log (cos a)) (log (sin a))) (log (expm1 a))) * [exit]simplify: Simplified to (+ (- (log (cos a)) (log (sin a))) (log (expm1 a))) * * * * [misc]progress: [ 6 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (expm1 a) (cos a))) (log (sin a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (log (* (expm1 a) (cos a))) (log (sin a))) * [exit]simplify: Simplified to (- (log (* (expm1 a) (cos a))) (log (sin a))) * * * * [misc]progress: [ 7 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (* (expm1 a) (cos a)) (sin a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (log (* (cos a) (/ (expm1 a) (sin a)))) * [exit]simplify: Simplified to (log (* (cos a) (/ (expm1 a) (sin a)))) * * * * [misc]progress: [ 8 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (* (expm1 a) (cos a)) (sin a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (exp (* (/ (expm1 a) (sin a)) (cos a))) * [exit]simplify: Simplified to (exp (* (/ (expm1 a) (sin a)) (cos a))) * * * * [misc]progress: [ 9 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cube (expm1 a)) (cube (cos a))) (cube (sin a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * * [misc]simplify: iters left: 1 (448 enodes) * [exit]simplify: Simplified to (cube (* (/ (cos a) (sin a)) (expm1 a))) * [exit]simplify: Simplified to (cube (* (/ (cos a) (sin a)) (expm1 a))) * * * * [misc]progress: [ 10 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (* (expm1 a) (cos a))) (cube (sin a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (cube (* (/ (expm1 a) (sin a)) (cos a))) * [exit]simplify: Simplified to (cube (* (/ (expm1 a) (sin a)) (cos a))) * * * * [misc]progress: [ 11 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (expm1 a) (cos a)) (sin a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (/ (expm1 a) (sin a)) (cos a))) * [exit]simplify: Simplified to (cbrt (* (/ (expm1 a) (sin a)) (cos a))) * * * * [misc]progress: [ 12 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (* (expm1 a) (cos a)) (sin a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (180 enodes) * [exit]simplify: Simplified to (cube (* (/ (expm1 a) (sin a)) (cos a))) * [exit]simplify: Simplified to (cube (* (/ (expm1 a) (sin a)) (cos a))) * * * * [misc]progress: [ 13 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (expm1 a) (cos a))) (cbrt (sin a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (expm1 a) (cos a))) (cbrt (sin a))) * [exit]simplify: Simplified to (/ (cbrt (* (expm1 a) (cos a))) (cbrt (sin a))) * * * * [misc]progress: [ 14 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (expm1 a)) (cbrt (cos a))) (cbrt (sin a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 a)) (/ (cbrt (sin a)) (cbrt (cos a)))) * [exit]simplify: Simplified to (/ (cbrt (expm1 a)) (/ (cbrt (sin a)) (cbrt (cos a)))) * * * * [misc]progress: [ 15 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (expm1 a) (cos a)) (sin a))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (expm1 a) (sin a)) (cos a))) * [exit]simplify: Simplified to (sqrt (* (/ (expm1 a) (sin a)) (cos a))) * * * * [misc]progress: [ 16 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (expm1 a) (cos a))) (sqrt (sin a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (expm1 a) (cos a))) (sqrt (sin a))) * [exit]simplify: Simplified to (/ (sqrt (* (expm1 a) (cos a))) (sqrt (sin a))) * * * * [misc]progress: [ 17 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (sqrt (expm1 a)) (sqrt (cos a))) (sqrt (sin a))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 a)) (/ (sqrt (sin a)) (sqrt (cos a)))) * [exit]simplify: Simplified to (/ (sqrt (expm1 a)) (/ (sqrt (sin a)) (sqrt (cos a)))) * * * * [misc]progress: [ 18 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (expm1 a) (cos a))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to (* (expm1 a) (- (cos a))) * [exit]simplify: Simplified to (* (expm1 a) (- (cos a))) * [enter]simplify: Simplifying (- (sin a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin a)) * [exit]simplify: Simplified to (- (sin a)) * * * * [misc]progress: [ 19 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (expm1 a) 1) * [exit]simplify: Simplified to (/ (expm1 a) 1) * [enter]simplify: Simplifying (/ (cos a) (sin a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (cos a) (sin a)) * [exit]simplify: Simplified to (/ (cos a) (sin a)) * * * * [misc]progress: [ 20 / 24 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sin a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (sin a)) * [exit]simplify: Simplified to (/ 1 (sin a)) * * * * [misc]progress: [ 22 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin a) (* (expm1 a) (cos a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sin a) (* (expm1 a) (cos a))) * [exit]simplify: Simplified to (/ (sin a) (* (expm1 a) (cos a))) * * * * [misc]progress: [ 23 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (expm1 a) (cos a)) 1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (cos a) (/ 1 (expm1 a))) * [exit]simplify: Simplified to (/ (cos a) (/ 1 (expm1 a))) * * * * [misc]progress: [ 24 / 24 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin a) (cos a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (sin a) (cos a)) * [exit]simplify: Simplified to (/ (sin a) (cos a)) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (* (expm1 a) (cotan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 a) (cotan a)) in a * [misc]taylor: Taking taylor expansion of (expm1 a) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (expm1 a) (cotan a)) in a * [misc]taylor: Taking taylor expansion of (expm1 a) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (expm1 a) 1) into (expm1 a) * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (+ (* (expm1 a) -1/3) (+ (* 0 0) (* 0 1))) into (- (* 1/3 (expm1 a))) * [misc]backup-simplify: Simplify (- (* 1/3 (expm1 a))) into (- (* 1/3 (expm1 a))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 a) 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (- (/ 1/24 1) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* -1/3 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/45 * [misc]backup-simplify: Simplify (+ (* (expm1 a) -1/45) (+ (* 0 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 1))))) into (- (* 1/45 (expm1 a))) * [misc]backup-simplify: Simplify (- (* 1/45 (expm1 a))) into (- (* 1/45 (expm1 a))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/45 (expm1 a))) (pow a 3)) (+ (* (- (* 1/3 (expm1 a))) a) (* (expm1 a) (/ 1 a)))) into (- (/ (expm1 a) a) (+ (* 1/45 (* (expm1 a) (pow a 3))) (* 1/3 (* (expm1 a) a)))) * [misc]approximate: Taking taylor expansion of (* (expm1 (/ 1 a)) (cotan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (cotan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 a)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (cotan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 a)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ 1 a)) (/ (cos (/ 1 a)) (sin (/ 1 a)))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]approximate: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ -1 a)) (/ (cos (/ -1 a)) (sin (/ -1 a)))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1 2) * [misc]approximate: Taking taylor expansion of (cotan a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 4) 24)) 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/24 * [misc]backup-simplify: Simplify (+ (* 1 (/ (pow 1 5) 120)) 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) (* -1 (/ (pow 1 1) 1) (/ (pow 0 2) 2)) 0 0 (* 1 (/ (pow 0 1) 1))) into 1/120 * [misc]backup-simplify: Simplify (- (/ 1/24 1) (+ (* 1 (/ 1/120 1)) (* 0 (/ 0 1)) (* -1/3 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/45 * [misc]backup-simplify: Simplify -1/45 into -1/45 * [misc]backup-simplify: Simplify (+ (* -1/45 (pow a 3)) (+ (* -1/3 a) (* 1 (/ 1 a)))) into (- (/ 1 a) (+ (* 1/45 (pow a 3)) (* 1/3 a))) * [misc]approximate: Taking taylor expansion of (cotan (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]approximate: Taking taylor expansion of (cotan (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (expm1 a) (cotan a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (expm1 a) (cotan a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 a) (cotan a))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 a) (cotan a)) in a * [misc]taylor: Taking taylor expansion of (expm1 a) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (expm1 a) 1) into (expm1 a) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (expm1 a) (* 2 (sqrt 0))) into (* +nan.0 (expm1 a)) * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (expm1 a) (cotan a)))) in a * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 a) (cotan a))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 a) (cotan a)) in a * [misc]taylor: Taking taylor expansion of (expm1 a) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (expm1 a) 1) into (expm1 a) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (expm1 a) (* 2 (sqrt 0))) into (* +nan.0 (expm1 a)) * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (expm1 a))) (* (* +nan.0 (expm1 a)) 0)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (expm1 a))) (+)) (* 2 0)) into (* +nan.0 (sqr (expm1 a))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (sqr (expm1 a)))) (+ (* (* +nan.0 (expm1 a)) (* +nan.0 (expm1 a))) (* (* +nan.0 (sqr (expm1 a))) 0))) into (- (* +nan.0 (sqr (expm1 a)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqr (expm1 a)))) into (- (* +nan.0 (sqr (expm1 a)))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (+ (* (expm1 a) -1/3) (+ (* 0 0) (* 0 1))) into (- (* 1/3 (expm1 a))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/3 (expm1 a))) (+ (* 2 (* (* +nan.0 (expm1 a)) (* +nan.0 (sqr (expm1 a))))))) (* 2 0)) into (* +nan.0 (+ (* 1/3 (expm1 a)) (- (* +nan.0 (pow (expm1 a) 3))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* 1/3 (expm1 a)) (- (* +nan.0 (pow (expm1 a) 3)))))) (+ (* (* +nan.0 (expm1 a)) (* +nan.0 (sqr (expm1 a)))) (+ (* (* +nan.0 (sqr (expm1 a))) (* +nan.0 (expm1 a))) (* (* +nan.0 (+ (* 1/3 (expm1 a)) (- (* +nan.0 (pow (expm1 a) 3))))) 0)))) into (- (* +nan.0 (pow (expm1 a) 3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (expm1 a) 3))) into (- (* +nan.0 (pow (expm1 a) 3))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* -1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 a) 0) (+ (* 0 -1/3) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (sqr (expm1 a)))) (+ (* 2 (* (* +nan.0 (expm1 a)) (* +nan.0 (+ (* 1/3 (expm1 a)) (- (* +nan.0 (pow (expm1 a) 3))))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow (expm1 a) 4)) (- (* +nan.0 (sqr (expm1 a)))))) * [misc]backup-simplify: Simplify (+ (* 0 (* +nan.0 (+ (* +nan.0 (pow (expm1 a) 4)) (- (* +nan.0 (sqr (expm1 a))))))) (+ (* (* +nan.0 (expm1 a)) (* +nan.0 (+ (* 1/3 (expm1 a)) (- (* +nan.0 (pow (expm1 a) 3)))))) (+ (* (* +nan.0 (sqr (expm1 a))) (* +nan.0 (sqr (expm1 a)))) (+ (* (* +nan.0 (+ (* 1/3 (expm1 a)) (- (* +nan.0 (pow (expm1 a) 3))))) (* +nan.0 (expm1 a))) (* (* +nan.0 (+ (* +nan.0 (pow (expm1 a) 4)) (- (* +nan.0 (sqr (expm1 a)))))) 0))))) into (- (+ (* +nan.0 (pow (expm1 a) 4)) (- (* +nan.0 (sqr (expm1 a)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (pow (expm1 a) 4)) (- (* +nan.0 (sqr (expm1 a)))))) into (- (+ (* +nan.0 (pow (expm1 a) 4)) (- (* +nan.0 (sqr (expm1 a)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (pow (expm1 a) 4)) (- (* +nan.0 (sqr (expm1 a)))))) (sqr a)) (+ (* (- (* +nan.0 (pow (expm1 a) 3))) a) (- (* +nan.0 (sqr (expm1 a)))))) into (- (+ (* +nan.0 (* (sqr (expm1 a)) (sqr a))) (- (+ (* +nan.0 (sqr (expm1 a))) (- (+ (* +nan.0 (* (pow (expm1 a) 4) (sqr a))) (- (* +nan.0 (* (pow (expm1 a) 3) a))))))))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (expm1 (/ 1 a)) (cotan (/ 1 a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (expm1 (/ 1 a)) (cotan (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 (/ 1 a)) (cotan (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (cotan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 a)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ 1 a)) (/ (cos (/ 1 a)) (sin (/ 1 a)))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) into (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (expm1 (/ 1 a)) (cotan (/ 1 a))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 (/ 1 a)) (cotan (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (cotan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 a)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ 1 a)) (/ (cos (/ 1 a)) (sin (/ 1 a)))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) into (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) 0) (* 0 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) 0) (+ (* 0 0) (* 0 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]approximate: Taking taylor expansion of (sqr (sqrt (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ -1 a)) (/ (cos (/ -1 a)) (sin (/ -1 a)))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) into (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqr (sqrt (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))))) in a * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ -1 a)) (/ (cos (/ -1 a)) (sin (/ -1 a)))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) into (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (* (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) 0) (* 0 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) 0) (+ (* 0 0) (* 0 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (sqrt (* (expm1 a) (cotan a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 a) (cotan a))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 a) (cotan a)) in a * [misc]taylor: Taking taylor expansion of (expm1 a) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (expm1 a) 1) into (expm1 a) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (expm1 a) (* 2 (sqrt 0))) into (* +nan.0 (expm1 a)) * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 a) (cotan a))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 a) (cotan a)) in a * [misc]taylor: Taking taylor expansion of (expm1 a) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 a) * [misc]taylor: Taking taylor expansion of (cotan a) in a * [misc]taylor: Taking taylor expansion of (/ (cos a) (sin a)) in a * [misc]taylor: Taking taylor expansion of (cos a) in a * [misc]taylor: Taking taylor expansion of a in a * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (sin 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 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* (expm1 a) 1) into (expm1 a) * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ (expm1 a) (* 2 (sqrt 0))) into (* +nan.0 (expm1 a)) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* +nan.0 (expm1 a)) into (* +nan.0 (expm1 a)) * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 a) 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr (* +nan.0 (expm1 a))) (+)) (* 2 0)) into (* +nan.0 (sqr (expm1 a))) * [misc]backup-simplify: Simplify (* +nan.0 (sqr (expm1 a))) into (* +nan.0 (sqr (expm1 a))) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (/ (- 1/2) 1) (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into -1/3 * [misc]backup-simplify: Simplify (+ (* (expm1 a) -1/3) (+ (* 0 0) (* 0 1))) into (- (* 1/3 (expm1 a))) * [misc]backup-simplify: Simplify (/ (- (- (* 1/3 (expm1 a))) (+ (* 2 (* (* +nan.0 (expm1 a)) (* +nan.0 (sqr (expm1 a))))))) (* 2 0)) into (* +nan.0 (+ (* 1/3 (expm1 a)) (- (* +nan.0 (pow (expm1 a) 3))))) * [misc]backup-simplify: Simplify (* +nan.0 (+ (* 1/3 (expm1 a)) (- (* +nan.0 (pow (expm1 a) 3))))) into (* +nan.0 (- (* 1/3 (expm1 a)) (* +nan.0 (pow (expm1 a) 3)))) * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (- (* 1/3 (expm1 a)) (* +nan.0 (pow (expm1 a) 3)))) (sqr a)) (+ (* (* +nan.0 (sqr (expm1 a))) a) (* +nan.0 (expm1 a)))) into (- (+ (* +nan.0 (expm1 a)) (- (+ (* +nan.0 (* (sqr (expm1 a)) a)) (- (+ (* +nan.0 (* (expm1 a) (sqr a))) (- (* +nan.0 (* (pow (expm1 a) 3) (sqr a)))))))))) * [misc]approximate: Taking taylor expansion of (sqrt (* (expm1 (/ 1 a)) (cotan (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 (/ 1 a)) (cotan (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (cotan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 a)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ 1 a)) (/ (cos (/ 1 a)) (sin (/ 1 a)))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) into (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 (/ 1 a)) (cotan (/ 1 a)))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (cotan (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 a)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 a)) (sin (/ 1 a))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 a)) into (cos (/ 1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 a)) into (sin (/ 1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ 1 a)) (sin (/ 1 a))) into (/ (cos (/ 1 a)) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ 1 a)) (/ (cos (/ 1 a)) (sin (/ 1 a)))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]backup-simplify: Simplify (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) into (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) into (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ 1 a))) (+ (* (/ (cos (/ 1 a)) (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ 1 a)) (sin (/ 1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) into (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a)))) * [misc]approximate: Taking taylor expansion of (sqrt (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ -1 a)) (/ (cos (/ -1 a)) (sin (/ -1 a)))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) into (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a))))) in a * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (cotan (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (expm1 (/ 1 (- a))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 a)) * [misc]taylor: Taking taylor expansion of (cotan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in a * [misc]taylor: Taking taylor expansion of (cos (/ 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 (cos (/ 1 (- a))) into (cos (/ -1 a)) * [misc]taylor: Taking taylor expansion of (sin (/ 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 (sin (/ 1 (- a))) into (sin (/ -1 a)) * [misc]backup-simplify: Simplify (/ (cos (/ -1 a)) (sin (/ -1 a))) into (/ (cos (/ -1 a)) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (* (expm1 (/ -1 a)) (/ (cos (/ -1 a)) (sin (/ -1 a)))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]backup-simplify: Simplify (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) into (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) into (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+)) (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (sin (/ -1 a))) (+ (* (/ (cos (/ -1 a)) (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (expm1 (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (cos (/ -1 a)) (sin (/ -1 a)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (sqr 0) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) into (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a)))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (- (/ (expm1 a) a) (+ (* 1/45 (* (expm1 a) (pow a 3))) (* 1/3 (* (expm1 a) a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (- (/ (expm1 a) a) (* (* (expm1 a) a) (+ (* (* a 1/45) a) 1/3))) * * * * [misc]progress: [ 2 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (cos (/ 1 a)) (/ (sin (/ 1 a)) (expm1 (/ 1 a)))) * * * * [misc]progress: [ 3 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (cos (/ -1 a)) (/ (sin (/ -1 a)) (expm1 (/ -1 a)))) * * * * [misc]progress: [ 4 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* (expm1 a) (- (/ 1 a) (+ (* 1/45 (pow a 3)) (* 1/3 a)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (expm1 a) (- (- (/ 1 a) (* 1/45 (cube a))) (* a 1/3))) * * * * [misc]progress: [ 5 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* (expm1 a) (/ (cos (/ 1 a)) (sin (/ 1 a)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (* (expm1 a) (cos (/ 1 a))) (sin (/ 1 a))) * * * * [misc]progress: [ 6 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* (expm1 a) (/ (cos (/ -1 a)) (sin (/ -1 a)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (* (expm1 a) (cos (/ -1 a))) (sin (/ -1 a))) * * * * [misc]progress: [ 7 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqr (expm1 a)) (sqr a))) (- (+ (* +nan.0 (sqr (expm1 a))) (- (+ (* +nan.0 (* (pow (expm1 a) 4) (sqr a))) (- (* +nan.0 (* (pow (expm1 a) 3) a))))))))) * * * * [misc]progress: [ 8 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (* (expm1 (/ 1 a)) (cos (/ 1 a))) (sin (/ 1 a))) * * * * [misc]progress: [ 9 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (* (cos (/ -1 a)) (expm1 (/ -1 a))) (sin (/ -1 a))) * * * * [misc]progress: [ 10 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (- (+ (* +nan.0 (expm1 a)) (- (+ (* +nan.0 (* (sqr (expm1 a)) a)) (- (+ (* +nan.0 (* (expm1 a) (sqr a))) (- (* +nan.0 (* (pow (expm1 a) 3) (sqr a))))))))))) * * * * [misc]progress: [ 11 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (/ (cos (/ 1 a)) (/ (sin (/ 1 a)) (expm1 (/ 1 a)))) * * * * [misc]progress: [ 12 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (cos (/ -1 a)) (/ (sin (/ -1 a)) (expm1 (/ -1 a)))) * * * * [misc]progress: [ 13 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (cotan a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * * * * [misc]progress: [ 14 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (expm1 a)) (log (cotan a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (+ (log (cotan a)) (log (expm1 a))) * [exit]simplify: Simplified to (+ (log (cotan a)) (log (expm1 a))) * * * * [misc]progress: [ 16 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (log (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (log (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 17 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (exp (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (exp (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 18 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (expm1 a)) (cube (cotan a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (cube (cotan a)) (cube (expm1 a))) * [exit]simplify: Simplified to (* (cube (cotan a)) (cube (expm1 a))) * * * * [misc]progress: [ 19 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (cbrt (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 20 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (cube (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (cube (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 21 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 a)) (cbrt (cotan a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (cotan a)) (cbrt (expm1 a))) * [exit]simplify: Simplified to (* (cbrt (cotan a)) (cbrt (expm1 a))) * * * * [misc]progress: [ 22 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (sqrt (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 23 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 a)) (sqrt (cotan a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (* (sqrt (cotan a)) (sqrt (expm1 a))) * [exit]simplify: Simplified to (* (sqrt (cotan a)) (sqrt (expm1 a))) * * * * [misc]progress: [ 24 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (expm1 a) * [exit]simplify: Simplified to (expm1 a) * * * * [misc]progress: [ 27 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (cotan a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * * * * [misc]progress: [ 28 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (cos a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cos a)) * [exit]simplify: Simplified to (* (expm1 a) (cos a)) * * * * [misc]progress: [ 29 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (expm1 a) * [exit]simplify: Simplified to (expm1 a) * * * * [misc]progress: [ 30 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cos a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos a) * [exit]simplify: Simplified to (cos a) * [enter]simplify: Simplifying (sin a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sin a) * [exit]simplify: Simplified to (sin a) * * * * [misc]progress: [ 32 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (tan a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (tan a) * [exit]simplify: Simplified to (tan a) * * * * [misc]progress: [ 33 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (cotan a)) * [exit]simplify: Simplified to (log (cotan a)) * * * * [misc]progress: [ 35 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (cotan a)) * [exit]simplify: Simplified to (exp (cotan a)) * * * * [misc]progress: [ 36 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (cotan a)) * [exit]simplify: Simplified to (cbrt (cotan a)) * * * * [misc]progress: [ 37 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (cotan a)) * [exit]simplify: Simplified to (cube (cotan a)) * * * * [misc]progress: [ 38 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cotan a)) * [exit]simplify: Simplified to (sqrt (cotan a)) * * * * [misc]progress: [ 39 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqr (sqrt (* (expm1 a) (cotan a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (log (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 43 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqr (sqrt (* (expm1 a) (cotan a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (exp (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (exp (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 44 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqr (sqrt (* (expm1 a) (cotan a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (cbrt (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (cbrt (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 45 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqr (sqrt (* (expm1 a) (cotan a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (cube (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (cube (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 46 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqr (sqrt (* (expm1 a) (cotan a))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (sqrt (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 47 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (expm1 a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (expm1 a) * [exit]simplify: Simplified to (expm1 a) * [enter]simplify: Simplifying (sqr (sqrt (cotan a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (cotan a) * [exit]simplify: Simplified to (cotan a) * * * * [misc]progress: [ 48 / 67 ] 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 (* (expm1 a) (cotan a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * * * * [misc]progress: [ 49 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (expm1 a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (expm1 a) * [exit]simplify: Simplified to (expm1 a) * [enter]simplify: Simplifying (sqr (sqrt (tan a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (tan a) * [exit]simplify: Simplified to (tan a) * * * * [misc]progress: [ 50 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* (expm1 a) (cos a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cos a)) * [exit]simplify: Simplified to (* (expm1 a) (cos a)) * [enter]simplify: Simplifying (sqr (sqrt (sin a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (sin a) * [exit]simplify: Simplified to (sin a) * * * * [misc]progress: [ 51 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqr (sqrt (* (expm1 a) 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (expm1 a) * [exit]simplify: Simplified to (expm1 a) * [enter]simplify: Simplifying (sqr (sqrt (tan a))) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (tan a) * [exit]simplify: Simplified to (tan a) * * * * [misc]progress: [ 52 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (* (expm1 a) (cotan a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (log (sqrt (* (expm1 a) (cotan a)))) * [exit]simplify: Simplified to (log (sqrt (* (expm1 a) (cotan a)))) * * * * [misc]progress: [ 57 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* (expm1 a) (cotan a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (exp (sqrt (* (expm1 a) (cotan a)))) * [exit]simplify: Simplified to (exp (sqrt (* (expm1 a) (cotan a)))) * * * * [misc]progress: [ 58 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (expm1 a) (cotan a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (* (expm1 a) (cotan a)))) * [exit]simplify: Simplified to (cbrt (sqrt (* (expm1 a) (cotan a)))) * * * * [misc]progress: [ 59 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (sqrt (* (expm1 a) (cotan a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (* (expm1 a) (cotan a))) (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (* (sqrt (* (expm1 a) (cotan a))) (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 60 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 a)) * [exit]simplify: Simplified to (sqrt (expm1 a)) * [enter]simplify: Simplifying (sqrt (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cotan a)) * [exit]simplify: Simplified to (sqrt (cotan a)) * * * * [misc]progress: [ 61 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (expm1 a)) * [exit]simplify: Simplified to (sqrt (expm1 a)) * [enter]simplify: Simplifying (sqrt (tan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan a)) * [exit]simplify: Simplified to (sqrt (tan a)) * * * * [misc]progress: [ 62 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (expm1 a) (cos a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (* (expm1 a) (cos a))) * [exit]simplify: Simplified to (sqrt (* (expm1 a) (cos a))) * [enter]simplify: Simplifying (sqrt (sin a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (sin a)) * [exit]simplify: Simplified to (sqrt (sin a)) * * * * [misc]progress: [ 63 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (expm1 a) 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (expm1 a)) * [exit]simplify: Simplified to (sqrt (expm1 a)) * [enter]simplify: Simplifying (sqrt (tan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan a)) * [exit]simplify: Simplified to (sqrt (tan a)) * * * * [misc]progress: [ 64 / 67 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (* (expm1 a) (cotan a)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (* (expm1 a) (cotan a)))) * [exit]simplify: Simplified to (sqrt (sqrt (* (expm1 a) (cotan a)))) * * * * [misc]progress: [ 65 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 67 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 67 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (* (expm1 a) (cotan a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * [enter]simplify: Simplifying (sqrt (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (cotan a)) * [exit]simplify: Simplified to (sqrt (cotan a)) * [enter]simplify: Simplifying (* (cube (expm1 a)) (cube (cotan a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (cube (cotan a)) (cube (expm1 a))) * [exit]simplify: Simplified to (* (cube (cotan a)) (cube (expm1 a))) * [enter]simplify: Simplifying (exp (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (cotan a)) * [exit]simplify: Simplified to (exp (cotan a)) * [enter]simplify: Simplifying (sqrt (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (sqrt (* (expm1 a) (cotan a))) * [enter]simplify: Simplifying (- (log (* (expm1 a) (cos a))) (log (sin a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (log (* (expm1 a) (cos a))) (log (sin a))) * [exit]simplify: Simplified to (- (log (* (expm1 a) (cos a))) (log (sin a))) * [enter]simplify: Simplifying (* (expm1 a) (cos a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cos a)) * [exit]simplify: Simplified to (* (expm1 a) (cos a)) * [enter]simplify: Simplifying (/ (sqrt (* (expm1 a) (cos a))) (sqrt (sin a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (* (expm1 a) (cos a))) (sqrt (sin a))) * [exit]simplify: Simplified to (/ (sqrt (* (expm1 a) (cos a))) (sqrt (sin a)))