* [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 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: [ 2 / 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: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 37 ] 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 (23 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) (fma (* a 1/45) (sqr a) (* a 1/3)))) * * * * [misc]progress: [ 2 / 37 ] 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: [ 3 / 37 ] 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: [ 4 / 37 ] 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 (24 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 (136 enodes) * [exit]simplify: Simplified to (- (/ (expm1 a) a) (* (* (expm1 a) a) (fma (sqr a) 1/45 1/3))) * * * * [misc]progress: [ 5 / 37 ] 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: [ 6 / 37 ] 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: [ 7 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (cotan a)) * [exit]simplify: Simplified to (expm1 (cotan a)) * * * * [misc]progress: [ 8 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cotan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (cotan a)) * [exit]simplify: Simplified to (log1p (cotan a)) * * * * [misc]progress: [ 9 / 37 ] 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: [ 10 / 37 ] 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: [ 11 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 37 ] 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: [ 13 / 37 ] 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: [ 14 / 37 ] 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: [ 15 / 37 ] 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: [ 16 / 37 ] 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: [ 17 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (expm1 (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 19 / 37 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (log1p (* (expm1 a) (cotan a))) * * * * [misc]progress: [ 20 / 37 ] 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: [ 21 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 37 ] 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: [ 23 / 37 ] 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: [ 24 / 37 ] 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: [ 25 / 37 ] 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: [ 26 / 37 ] 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: [ 27 / 37 ] 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: [ 28 / 37 ] 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: [ 29 / 37 ] 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: [ 30 / 37 ] 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: [ 31 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 37 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 37 ] 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: [ 34 / 37 ] 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: [ 35 / 37 ] 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: [ 36 / 37 ] 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: [ 37 / 37 ] 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 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ (cos a) (sin a)) in (a) around 0 * [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 (/ (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 (/ (cos (/ 1 a)) (sin (/ 1 a))) in (a) around 0 * [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 (/ (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 (/ (cos (/ 1 (- a))) (sin (/ 1 (- a)))) in (a) around 0 * [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 (/ (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: [ 2 / 2 ] 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) in a * [misc]backup-simplify: Simplify (expm1 a) into (expm1 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) (/ (cos a) (sin 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) (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)) (/ (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)) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 a)) into (expm1 (/ 1 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)) (/ (cos (/ 1 a)) (sin (/ 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)) (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))) (/ (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))) in a * [misc]backup-simplify: Simplify (expm1 (/ 1 (- a))) into (expm1 (/ -1 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))) (/ (cos (/ 1 (- a))) (sin (/ 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))) (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: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 50 ] 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 (23 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) (fma (* a 1/45) (sqr a) (* a 1/3)))) * * * * [misc]progress: [ 2 / 50 ] 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: [ 3 / 50 ] 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: [ 4 / 50 ] 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 (24 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 (136 enodes) * [exit]simplify: Simplified to (- (/ (expm1 a) a) (* (* (expm1 a) a) (fma (sqr a) 1/45 1/3))) * * * * [misc]progress: [ 5 / 50 ] 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: [ 6 / 50 ] 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: [ 7 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (cos a) (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos a) (sin a))) * [exit]simplify: Simplified to (expm1 (/ (cos a) (sin a))) * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (cos a) (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (/ (cos a) (sin a))) * [exit]simplify: Simplified to (log1p (/ (cos a) (sin a))) * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cos a)) (log (sin a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (log (cos a)) (log (sin a))) * [exit]simplify: Simplified to (- (log (cos a)) (log (sin a))) * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (cos a) (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (/ (cos a) (sin a))) * [exit]simplify: Simplified to (log (/ (cos a) (sin a))) * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (cos a) (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (cos a) (sin a))) * [exit]simplify: Simplified to (exp (/ (cos a) (sin a))) * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (cos a)) (cube (sin a))) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (cube (/ (cos a) (sin a))) * [exit]simplify: Simplified to (cube (/ (cos a) (sin a))) * * * * [misc]progress: [ 15 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cos a) (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos a) (sin a))) * [exit]simplify: Simplified to (cbrt (/ (cos a) (sin a))) * * * * [misc]progress: [ 16 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (cos a) (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (cube (/ (cos a) (sin a))) * [exit]simplify: Simplified to (cube (/ (cos a) (sin a))) * * * * [misc]progress: [ 17 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (cos a)) (cbrt (sin a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos a)) (cbrt (sin a))) * [exit]simplify: Simplified to (/ (cbrt (cos a)) (cbrt (sin a))) * * * * [misc]progress: [ 18 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cos a) (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos a) (sin a))) * [exit]simplify: Simplified to (sqrt (/ (cos a) (sin a))) * * * * [misc]progress: [ 19 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cos a)) (sqrt (sin a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (cos a)) (sqrt (sin a))) * [exit]simplify: Simplified to (/ (sqrt (cos a)) (sqrt (sin a))) * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cos a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (cos a)) * [exit]simplify: Simplified to (- (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: [ 21 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * [enter]simplify: Simplifying (/ (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: [ 22 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 50 ] 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: [ 24 / 50 ] 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: [ 25 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cos a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cos a) 1) * [exit]simplify: Simplified to (/ (cos a) 1) * * * * [misc]progress: [ 26 / 50 ] 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: [ 27 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (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 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (expm1 (/ (* (expm1 a) (cos a)) (sin a))) * [exit]simplify: Simplified to (expm1 (/ (* (expm1 a) (cos a)) (sin a))) * * * * [misc]progress: [ 28 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (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 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (log1p (/ (* (expm1 a) (cos a)) (sin a))) * [exit]simplify: Simplified to (log1p (/ (* (expm1 a) (cos a)) (sin a))) * * * * [misc]progress: [ 29 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (/ (cos a) (sin a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ (cos a) (/ (sin a) (expm1 a))) * [exit]simplify: Simplified to (/ (cos a) (/ (sin a) (expm1 a))) * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 50 ] 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 (15 enodes) * [exit]simplify: Simplified to (+ (log (expm1 a)) (- (log (cos a)) (log (sin a)))) * [exit]simplify: Simplified to (+ (log (expm1 a)) (- (log (cos a)) (log (sin a)))) * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (expm1 a)) (log (/ (cos a) (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (+ (log (expm1 a)) (log (/ (cos a) (sin a)))) * [exit]simplify: Simplified to (+ (log (expm1 a)) (log (/ (cos a) (sin a)))) * * * * [misc]progress: [ 33 / 50 ] 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 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (log (/ (* (expm1 a) (cos a)) (sin a))) * [exit]simplify: Simplified to (log (/ (* (expm1 a) (cos a)) (sin a))) * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (expm1 a) (/ (cos a) (sin a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 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 (pow (exp (expm1 a)) (/ (cos a) (sin a))) * [exit]simplify: Simplified to (pow (exp (expm1 a)) (/ (cos a) (sin a))) * * * * [misc]progress: [ 35 / 50 ] 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 (32 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (355 enodes) * [exit]simplify: Simplified to (/ (cube (expm1 a)) (cube (/ (sin a) (cos a)))) * [exit]simplify: Simplified to (/ (cube (expm1 a)) (cube (/ (sin a) (cos a)))) * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (expm1 a)) (cube (/ (cos a) (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (/ (cube (cos a)) (cube (/ (sin a) (expm1 a)))) * [exit]simplify: Simplified to (/ (cube (cos a)) (cube (/ (sin a) (expm1 a)))) * * * * [misc]progress: [ 37 / 50 ] 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 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (* (expm1 a) (cos a)) (sin a))) * [exit]simplify: Simplified to (cbrt (/ (* (expm1 a) (cos a)) (sin a))) * * * * [misc]progress: [ 38 / 50 ] 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 (34 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (cube (/ (* (expm1 a) (cos a)) (sin a))) * [exit]simplify: Simplified to (cube (/ (* (expm1 a) (cos a)) (sin a))) * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 a)) (cbrt (/ (cos a) (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (expm1 a)) (cbrt (/ (cos a) (sin a)))) * [exit]simplify: Simplified to (* (cbrt (expm1 a)) (cbrt (/ (cos a) (sin a)))) * * * * [misc]progress: [ 40 / 50 ] 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 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 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: [ 41 / 50 ] 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 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (expm1 a) (cos a)) (sin a))) * [exit]simplify: Simplified to (sqrt (/ (* (expm1 a) (cos a)) (sin a))) * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 a)) (sqrt (/ (cos a) (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (sqrt (expm1 a)) (sqrt (/ (cos a) (sin a)))) * [exit]simplify: Simplified to (* (sqrt (expm1 a)) (sqrt (/ (cos a) (sin a)))) * * * * [misc]progress: [ 43 / 50 ] 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 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 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: [ 44 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (/ 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (expm1 a) * [exit]simplify: Simplified to (expm1 a) * * * * [misc]progress: [ 46 / 50 ] 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: [ 47 / 50 ] 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: [ 48 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (/ (cos a) (sin a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (17 enodes) * [exit]simplify: Simplified to (/ (cos a) (/ (sin a) (expm1 a))) * [exit]simplify: Simplified to (/ (cos a) (/ (sin a) (expm1 a))) * * * * [misc]progress: [ 49 / 50 ] 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: [ 50 / 50 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 3 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (cos a) (/ 1 (sin a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (cos a) (/ 1 (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 (/ 1 (sin a)) in a * [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 (* (cos a) (/ 1 (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 (/ 1 (sin a)) in a * [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 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 1/6) (+ (* 0 0) (* (- 1/2) 1))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/6) (+ (* (- 1/2) 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 7/360 * [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 7/360) (+ (* 0 0) (+ (* (- 1/2) 1/6) (+ (* 0 0) (* 1/24 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 (* (cos (/ 1 a)) (/ 1 (sin (/ 1 a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (/ 1 (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 (/ 1 (sin (/ 1 a))) in 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 (/ 1 (sin (/ 1 a))) into (/ 1 (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 a)) (/ 1 (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 (/ 1 (sin (/ 1 a))) in 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 (/ 1 (sin (/ 1 a))) into (/ 1 (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (/ 1 (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 (- (+ (* (/ 1 (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (/ 1 (sin (/ 1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (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 (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (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 (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ 1 a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (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 (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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 (* (cos (/ 1 (- a))) (/ 1 (sin (/ 1 (- a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (/ 1 (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 (/ 1 (sin (/ 1 (- a)))) in 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 (/ 1 (sin (/ -1 a))) into (/ 1 (sin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (* (cos (/ 1 (- a))) (/ 1 (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 (/ 1 (sin (/ 1 (- a)))) in 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 (/ 1 (sin (/ -1 a))) into (/ 1 (sin (/ -1 a))) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (/ 1 (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 (- (+ (* (/ 1 (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (/ 1 (sin (/ -1 a))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (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 (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 a)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (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 (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sin (/ -1 a))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (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 (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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: [ 2 / 3 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (sin a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sin a)) in a * [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 (/ 1 (sin a)) in a * [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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6 * [misc]backup-simplify: Simplify 1/6 into 1/6 * [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 (- (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 7/360 * [misc]backup-simplify: Simplify 7/360 into 7/360 * [misc]backup-simplify: Simplify (+ (* 7/360 (pow a 3)) (+ (* 1/6 a) (* 1 (/ 1 a)))) into (+ (* 7/360 (pow a 3)) (+ (* 1/6 a) (/ 1 a))) * [misc]approximate: Taking taylor expansion of (/ 1 (sin (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 a))) in 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 (/ 1 (sin (/ 1 a))) into (/ 1 (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 a))) in 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 (/ 1 (sin (/ 1 a))) into (/ 1 (sin (/ 1 a))) * [misc]backup-simplify: Simplify (/ 1 (sin (/ 1 a))) into (/ 1 (sin (/ 1 a))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (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 (/ 1 (sin (/ 1 a))) into (/ 1 (sin (/ 1 a))) * [misc]approximate: Taking taylor expansion of (/ 1 (sin (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 (- a)))) in 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 (/ 1 (sin (/ -1 a))) into (/ 1 (sin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ 1 (sin (/ 1 (- a)))) in 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 (/ 1 (sin (/ -1 a))) into (/ 1 (sin (/ -1 a))) * [misc]backup-simplify: Simplify (/ 1 (sin (/ -1 a))) into (/ 1 (sin (/ -1 a))) * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (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 (- (+ (* (/ 1 (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 (/ 1 (sin (/ -1 a))) into (/ 1 (sin (/ -1 a))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (expm1 a) (* (cos a) (/ 1 (sin a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 a) (* (cos a) (/ 1 (sin 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) (/ 1 (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 (/ 1 (sin a)) in a * [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) (* (cos a) (/ 1 (sin 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) (/ 1 (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 (/ 1 (sin a)) in a * [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 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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 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 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 1/6 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (+ (* 1 1/6) (+ (* 0 0) (* (- 1/2) 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 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/6) 1)) (* 1/6 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 1/6) (+ (* (- 1/2) 0) (* 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 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 (/ 1/120 1)) (* 0 (/ 0 1)) (* 1/6 (/ (- 1/6) 1)) (* 0 (/ 0 1)))) into 7/360 * [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 7/360) (+ (* 0 0) (+ (* (- 1/2) 1/6) (+ (* 0 0) (* 1/24 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)) (* (cos (/ 1 a)) (/ 1 (sin (/ 1 a))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (* (cos (/ 1 a)) (/ 1 (sin (/ 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)) (/ 1 (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 (/ 1 (sin (/ 1 a))) in 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 (/ 1 (sin (/ 1 a))) into (/ 1 (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 a)) (* (cos (/ 1 a)) (/ 1 (sin (/ 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)) (/ 1 (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 (/ 1 (sin (/ 1 a))) in 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 (/ 1 (sin (/ 1 a))) into (/ 1 (sin (/ 1 a))) * [misc]backup-simplify: Simplify (* (cos (/ 1 a)) (/ 1 (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 (- (+ (* (/ 1 (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (* 0 (/ 1 (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 (- (+ (* (/ 1 (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (* 0 (/ 1 (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 (- (+ (* (/ 1 (sin (/ 1 a))) (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))) (* 0 (/ 0 (sin (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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 (- (+ (* (/ 1 (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 (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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 (- (+ (* (/ 1 (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 (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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 (- (+ (* (/ 1 (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 (+ (* (cos (/ 1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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))) (* (cos (/ 1 (- a))) (/ 1 (sin (/ 1 (- a)))))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (* (cos (/ 1 (- a))) (/ 1 (sin (/ 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))) (/ 1 (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 (/ 1 (sin (/ 1 (- a)))) in 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 (/ 1 (sin (/ -1 a))) into (/ 1 (sin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (* (expm1 (/ 1 (- a))) (* (cos (/ 1 (- a))) (/ 1 (sin (/ 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))) (/ 1 (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 (/ 1 (sin (/ 1 (- a)))) in 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 (/ 1 (sin (/ -1 a))) into (/ 1 (sin (/ -1 a))) * [misc]backup-simplify: Simplify (* (cos (/ -1 a)) (/ 1 (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 (- (+ (* (/ 1 (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (* 0 (/ 1 (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 (- (+ (* (/ 1 (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (* 0 (/ 1 (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 (- (+ (* (/ 1 (sin (/ -1 a))) (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))) (* 0 (/ 0 (sin (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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 (- (+ (* (/ 1 (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 (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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 (- (+ (* (/ 1 (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 (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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 (- (+ (* (/ 1 (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 (+ (* (cos (/ -1 a)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (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: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 70 ] 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 (23 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) (fma (* a 1/45) (sqr a) (* a 1/3)))) * * * * [misc]progress: [ 2 / 70 ] 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: [ 3 / 70 ] 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: [ 4 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (* (cos a) (+ (* 7/360 (pow a 3)) (+ (* 1/6 a) (/ 1 a))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (80 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (367 enodes) * [exit]simplify: Simplified to (* (fma (fma (cube a) 7/360 (* 1/6 a)) (expm1 a) (/ (expm1 a) a)) (cos a)) * * * * [misc]progress: [ 5 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (* (cos a) (/ 1 (sin (/ 1 a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (* (cos a) (expm1 a)) (sin (/ 1 a))) * * * * [misc]progress: [ 6 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (* (cos a) (/ 1 (sin (/ -1 a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (* (expm1 a) (/ (cos a) (sin (/ -1 a)))) * * * * [misc]progress: [ 7 / 70 ] 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 (24 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 (136 enodes) * [exit]simplify: Simplified to (- (/ (expm1 a) a) (* (* (expm1 a) a) (fma (sqr a) 1/45 1/3))) * * * * [misc]progress: [ 8 / 70 ] 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 / 70 ] 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 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cos a) (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (expm1 (/ (cos a) (sin a))) * [exit]simplify: Simplified to (expm1 (/ (cos a) (sin a))) * * * * [misc]progress: [ 11 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cos a) (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (log1p (/ (cos a) (sin a))) * [exit]simplify: Simplified to (log1p (/ (cos a) (sin a))) * * * * [misc]progress: [ 12 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos a) (/ 1 (sin a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cos a) (sin a)) * [exit]simplify: Simplified to (/ (cos a) (sin a)) * * * * [misc]progress: [ 13 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos a)) (- (log (sin a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ (log (cos a)) (- (log (sin a)))) * [exit]simplify: Simplified to (+ (log (cos a)) (- (log (sin a)))) * * * * [misc]progress: [ 15 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cos a)) (log (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (+ (log (cos a)) (- (log (sin a)))) * [exit]simplify: Simplified to (+ (log (cos a)) (- (log (sin a)))) * * * * [misc]progress: [ 16 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cos a) (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (log (/ (cos a) (sin a))) * [exit]simplify: Simplified to (log (/ (cos a) (sin a))) * * * * [misc]progress: [ 17 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cos a) (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (exp (/ (cos a) (sin a))) * [exit]simplify: Simplified to (exp (/ (cos a) (sin a))) * * * * [misc]progress: [ 18 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (cos a)) (cube (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (cube (cos a)) (cube (sin a))) * [exit]simplify: Simplified to (/ (cube (cos a)) (cube (sin a))) * * * * [misc]progress: [ 19 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cos a) (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (cos a) (sin a))) * [exit]simplify: Simplified to (cbrt (/ (cos a) (sin a))) * * * * [misc]progress: [ 20 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (cos a) (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (cube (/ (cos a) (sin a))) * [exit]simplify: Simplified to (cube (/ (cos a) (sin a))) * * * * [misc]progress: [ 21 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cos a)) (cbrt (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (cos a)) (cbrt (/ 1 (sin a)))) * [exit]simplify: Simplified to (* (cbrt (cos a)) (cbrt (/ 1 (sin a)))) * * * * [misc]progress: [ 22 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cos a) (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (cos a) (sin a))) * [exit]simplify: Simplified to (sqrt (/ (cos a) (sin a))) * * * * [misc]progress: [ 23 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cos a)) (sqrt (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (sqrt (cos a)) (sqrt (/ 1 (sin a)))) * [exit]simplify: Simplified to (* (sqrt (cos a)) (sqrt (/ 1 (sin a)))) * * * * [misc]progress: [ 24 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cos a) * [exit]simplify: Simplified to (cos a) * * * * [misc]progress: [ 27 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cos a) * [exit]simplify: Simplified to (cos a) * * * * [misc]progress: [ 28 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos a) (/ 1 (sin a))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cos a) (sin a)) * [exit]simplify: Simplified to (/ (cos a) (sin a)) * * * * [misc]progress: [ 29 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cos a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cos a) * [exit]simplify: Simplified to (cos a) * * * * [misc]progress: [ 30 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ 1 (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (expm1 (/ 1 (sin a))) * [exit]simplify: Simplified to (expm1 (/ 1 (sin a))) * * * * [misc]progress: [ 32 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ 1 (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (log1p (/ 1 (sin a))) * [exit]simplify: Simplified to (log1p (/ 1 (sin a))) * * * * [misc]progress: [ 33 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sin a))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (- (log (sin a))) * [exit]simplify: Simplified to (- (log (sin a))) * * * * [misc]progress: [ 36 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- (log (sin a))) * [exit]simplify: Simplified to (- (log (sin a))) * * * * [misc]progress: [ 37 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ 1 (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (exp (/ 1 (sin a))) * [exit]simplify: Simplified to (exp (/ 1 (sin a))) * * * * [misc]progress: [ 38 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sin a))) * [exit]simplify: Simplified to (cbrt (/ 1 (sin a))) * * * * [misc]progress: [ 39 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ 1 (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (28 enodes) * [exit]simplify: Simplified to (cube (/ 1 (sin a))) * [exit]simplify: Simplified to (cube (/ 1 (sin a))) * * * * [misc]progress: [ 40 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sin a))) * [exit]simplify: Simplified to (sqrt (/ 1 (sin a))) * * * * [misc]progress: [ 41 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [exit]simplify: Simplified to (- 1) * [enter]simplify: Simplifying (- (sin a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (sin a)) * [exit]simplify: Simplified to (- (sin a)) * * * * [misc]progress: [ 42 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 70 ] 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: [ 44 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sin a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (sin a) 1) * [exit]simplify: Simplified to (/ (sin a) 1) * * * * [misc]progress: [ 45 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [exit]simplify: Simplified to 1 * * * * [misc]progress: [ 46 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (expm1 a) (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 a) (/ (sin a) (cos a)))) * [exit]simplify: Simplified to (expm1 (/ (expm1 a) (/ (sin a) (cos a)))) * * * * [misc]progress: [ 47 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (expm1 a) (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 a) (/ (sin a) (cos a)))) * [exit]simplify: Simplified to (log1p (/ (expm1 a) (/ (sin a) (cos a)))) * * * * [misc]progress: [ 48 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (* (cos a) (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (expm1 a) (/ (cos a) (sin a))) * [exit]simplify: Simplified to (* (expm1 a) (/ (cos a) (sin a))) * * * * [misc]progress: [ 49 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (* (cos a) (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (expm1 a) (/ (cos a) (sin a))) * [exit]simplify: Simplified to (* (expm1 a) (/ (cos a) (sin a))) * * * * [misc]progress: [ 50 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (expm1 a)) (+ (log (cos a)) (- (log (sin a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (+ (- (log (sin a))) (+ (log (cos a)) (log (expm1 a)))) * [exit]simplify: Simplified to (+ (- (log (sin a))) (+ (log (cos a)) (log (expm1 a)))) * * * * [misc]progress: [ 52 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (expm1 a)) (+ (log (cos a)) (log (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (+ (log (cos a)) (log (expm1 a))) (- (log (sin a)))) * [exit]simplify: Simplified to (+ (+ (log (cos a)) (log (expm1 a))) (- (log (sin a)))) * * * * [misc]progress: [ 53 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (expm1 a)) (log (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (+ (log (expm1 a)) (log (/ (cos a) (sin a)))) * [exit]simplify: Simplified to (+ (log (expm1 a)) (log (/ (cos a) (sin a)))) * * * * [misc]progress: [ 54 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (expm1 a) (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (log (* (expm1 a) (/ (cos a) (sin a)))) * [exit]simplify: Simplified to (log (* (expm1 a) (/ (cos a) (sin a)))) * * * * [misc]progress: [ 55 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (expm1 a) (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (pow (exp (expm1 a)) (/ (cos a) (sin a))) * [exit]simplify: Simplified to (pow (exp (expm1 a)) (/ (cos a) (sin a))) * * * * [misc]progress: [ 56 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (expm1 a)) (* (cube (cos a)) (cube (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (* (/ (cos a) (sin a)) (/ (cos a) (sin a))) (/ (cube (expm1 a)) (/ (sin a) (cos a)))) * [exit]simplify: Simplified to (* (* (/ (cos a) (sin a)) (/ (cos a) (sin a))) (/ (cube (expm1 a)) (/ (sin a) (cos a)))) * * * * [misc]progress: [ 57 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cube (expm1 a)) (cube (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (* (* (cube (expm1 a)) (/ (cos a) (sin a))) (* (/ (cos a) (sin a)) (/ (cos a) (sin a)))) * [exit]simplify: Simplified to (* (* (cube (expm1 a)) (/ (cos a) (sin a))) (* (/ (cos a) (sin a)) (/ (cos a) (sin a)))) * * * * [misc]progress: [ 58 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (expm1 a) (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 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: [ 59 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (* (expm1 a) (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (248 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: [ 60 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 a)) (cbrt (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (cos a) (sin a))) (cbrt (expm1 a))) * [exit]simplify: Simplified to (* (cbrt (/ (cos a) (sin a))) (cbrt (expm1 a))) * * * * [misc]progress: [ 61 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (expm1 a)) (* (cbrt (cos a)) (cbrt (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sin a))) (* (cbrt (cos a)) (cbrt (expm1 a)))) * [exit]simplify: Simplified to (* (cbrt (/ 1 (sin a))) (* (cbrt (cos a)) (cbrt (expm1 a)))) * * * * [misc]progress: [ 62 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (expm1 a) (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 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: [ 63 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 a)) (sqrt (* (cos a) (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (sqrt (/ (cos a) (sin a))) (sqrt (expm1 a))) * [exit]simplify: Simplified to (* (sqrt (/ (cos a) (sin a))) (sqrt (expm1 a))) * * * * [misc]progress: [ 64 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (expm1 a)) (* (sqrt (cos a)) (sqrt (/ 1 (sin a))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sin a))) (* (sqrt (cos a)) (sqrt (expm1 a)))) * [exit]simplify: Simplified to (* (sqrt (/ 1 (sin a))) (* (sqrt (cos a)) (sqrt (expm1 a)))) * * * * [misc]progress: [ 65 / 70 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 70 ] 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: [ 67 / 70 ] simplifiying candidate # * [enter]simplify: Simplifying (* (expm1 a) (* (cos a) (/ 1 (sin a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (expm1 a) (/ (cos a) (sin a))) * [exit]simplify: Simplified to (* (expm1 a) (/ (cos a) (sin a))) * * * * [misc]progress: [ 68 / 70 ] 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: [ 69 / 70 ] 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 (15 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cos a)) * [exit]simplify: Simplified to (* (expm1 a) (cos a)) * * * * [misc]progress: [ 70 / 70 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # # # # # # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 b +inf.0)) , with alts (#) * [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)) * [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 (/ (expm1 a) a) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (/ (expm1 a) a) * [exit]simplify: Simplified to (/ (expm1 a) a) * [enter]simplify: Simplifying (* (* (expm1 a) a) (fma (sqr a) 1/45 1/3)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (* (expm1 a) a) (fma (sqr a) 1/45 1/3)) * [exit]simplify: Simplified to (* (* (expm1 a) a) (fma (sqr a) 1/45 1/3)) * [enter]simplify: Simplifying (log1p (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (log1p (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (log1p (* (expm1 a) (cotan a))) * [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))) * [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)) * [enter]simplify: Simplifying (cbrt (/ 1 (sin a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sin a))) * [exit]simplify: Simplified to (cbrt (/ 1 (sin a))) * [enter]simplify: Simplifying (expm1 (* (expm1 a) (cotan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (expm1 (* (expm1 a) (cotan a))) * [exit]simplify: Simplified to (expm1 (* (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 (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) * [enter]simplify: Simplifying (/ (cbrt (cos a)) (cbrt (sin a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (cos a)) (cbrt (sin a))) * [exit]simplify: Simplified to (/ (cbrt (cos a)) (cbrt (sin 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))