* [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 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (* (expm1 a) (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 / 1 ] rewriting at (2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 23 ] 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: [ 2 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (* (expm1 (/ 1 a)) (cos (/ 1 a))) (sin (/ 1 a))) * * * * [misc]progress: [ 3 / 23 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (* (cos (/ -1 a)) (expm1 (/ -1 a))) (sin (/ -1 a))) * * * * [misc]progress: [ 4 / 23 ] 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: [ 5 / 23 ] 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: [ 6 / 23 ] 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: [ 7 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 23 ] 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: [ 9 / 23 ] 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: [ 10 / 23 ] 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: [ 11 / 23 ] 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: [ 12 / 23 ] 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: [ 13 / 23 ] 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: [ 14 / 23 ] 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: [ 15 / 23 ] 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: [ 16 / 23 ] 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: [ 17 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 23 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 23 ] 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: [ 20 / 23 ] 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 / 23 ] 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: [ 22 / 23 ] 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: [ 23 / 23 ] simplifiying candidate # * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 2 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (expm1 a) (tan a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 a) (tan 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 (tan a) in a * [misc]taylor: Taking taylor expansion of (/ (sin a) (cos 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]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]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]taylor: Taking taylor expansion of (/ (expm1 a) (tan 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 (tan a) in a * [misc]taylor: Taking taylor expansion of (/ (sin a) (cos 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]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]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 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (expm1 a) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 1/3 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (expm1 a) (/ 1/3 1)) (* 0 (/ 0 1)))) into (- (* 1/3 (expm1 a))) * [misc]backup-simplify: Simplify (- (* 1/3 (expm1 a))) into (- (* 1/3 (expm1 a))) * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0 * [misc]backup-simplify: Simplify (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (expm1 a) (/ 0 1)) (* 0 (/ 1/3 1)) (* (- (* 1/3 (expm1 a))) (/ 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 (/ (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 (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (expm1 a) (/ 2/15 1)) (* 0 (/ 0 1)) (* (- (* 1/3 (expm1 a))) (/ 1/3 1)) (* 0 (/ 0 1)))) into (- (* 1/45 (expm1 a))) * [misc]backup-simplify: Simplify (- (* 1/45 (expm1 a))) into (- (* 1/45 (expm1 a))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/45 (expm1 a))) (pow a 3)) (+ (* (- (* 1/3 (expm1 a))) a) (* (expm1 a) (/ 1 a)))) into (- (/ (expm1 a) a) (+ (* 1/45 (* (expm1 a) (pow a 3))) (* 1/3 (* (expm1 a) a)))) * [misc]approximate: Taking taylor expansion of (/ (expm1 (/ 1 a)) (tan (/ 1 a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 a)) (tan (/ 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 (tan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 a)) (cos (/ 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]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]backup-simplify: Simplify (/ (sin (/ 1 a)) (cos (/ 1 a))) into (/ (sin (/ 1 a)) (cos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (expm1 (/ 1 a)) (/ (sin (/ 1 a)) (cos (/ 1 a)))) into (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 a)) (tan (/ 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 (tan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 a)) (cos (/ 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]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]backup-simplify: Simplify (/ (sin (/ 1 a)) (cos (/ 1 a))) into (/ (sin (/ 1 a)) (cos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (expm1 (/ 1 a)) (/ (sin (/ 1 a)) (cos (/ 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 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a)))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a)))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a)))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a)))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a)))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a)))) (+ (* (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 1 a))))) (* 0 (/ 0 (/ (sin (/ 1 a)) (cos (/ 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))) (tan (/ 1 (- a)))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 (- a))) (tan (/ 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 (tan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- a))) (cos (/ 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]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]backup-simplify: Simplify (/ (sin (/ -1 a)) (cos (/ -1 a))) into (/ (sin (/ -1 a)) (cos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (expm1 (/ -1 a)) (/ (sin (/ -1 a)) (cos (/ -1 a)))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * [misc]taylor: Taking taylor expansion of (/ (expm1 (/ 1 (- a))) (tan (/ 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 (tan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- a))) (cos (/ 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]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]backup-simplify: Simplify (/ (sin (/ -1 a)) (cos (/ -1 a))) into (/ (sin (/ -1 a)) (cos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (expm1 (/ -1 a)) (/ (sin (/ -1 a)) (cos (/ -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 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a)))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a)))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a)))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a)))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a)))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a)))) (+ (* (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))) (* 0 (/ 0 (/ (sin (/ -1 a)) (cos (/ -1 a))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) into (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (tan a) in (a) around 0 * [misc]taylor: Taking taylor expansion of (tan a) in a * [misc]taylor: Taking taylor expansion of (/ (sin a) (cos 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]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]backup-simplify: Simplify (+ (* 1 (/ (pow 1 1) 1))) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (tan a) in a * [misc]taylor: Taking taylor expansion of (/ (sin a) (cos 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]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]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 (+ 0) 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 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into (- 1/6) * [misc]backup-simplify: Simplify (+ (* -1 (/ (pow 1 2) 2)) 0) into (- 1/2) * [misc]backup-simplify: Simplify (- (/ (- 1/6) 1) (+ (* 1 (/ (- 1/2) 1)) (* 0 (/ 0 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 (+ 0 (* -1 (/ (pow 1 1) 1) (/ (pow 0 1) 1)) 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- 1/2) 1)) (* 1/3 (/ 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 (/ (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 (- (/ 1/120 1) (+ (* 1 (/ 1/24 1)) (* 0 (/ 0 1)) (* 1/3 (/ (- 1/2) 1)) (* 0 (/ 0 1)))) into 2/15 * [misc]backup-simplify: Simplify 2/15 into 2/15 * [misc]backup-simplify: Simplify (+ (* 2/15 (pow a 5)) (+ (* 1/3 (pow a 3)) (* 1 a))) into (+ (* 2/15 (pow a 5)) (+ (* 1/3 (pow a 3)) a)) * [misc]approximate: Taking taylor expansion of (tan (/ 1 a)) in (a) around 0 * [misc]taylor: Taking taylor expansion of (tan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 a)) (cos (/ 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]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]backup-simplify: Simplify (/ (sin (/ 1 a)) (cos (/ 1 a))) into (/ (sin (/ 1 a)) (cos (/ 1 a))) * [misc]taylor: Taking taylor expansion of (tan (/ 1 a)) in a * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 a)) (cos (/ 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]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]backup-simplify: Simplify (/ (sin (/ 1 a)) (cos (/ 1 a))) into (/ (sin (/ 1 a)) (cos (/ 1 a))) * [misc]backup-simplify: Simplify (/ (sin (/ 1 a)) (cos (/ 1 a))) into (/ (sin (/ 1 a)) (cos (/ 1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ 1 a))) (+ (* (/ (sin (/ 1 a)) (cos (/ 1 a))) (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))) (* 0 (/ 0 (cos (/ 1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ 1 a)) (cos (/ 1 a))) into (/ (sin (/ 1 a)) (cos (/ 1 a))) * [misc]approximate: Taking taylor expansion of (tan (/ 1 (- a))) in (a) around 0 * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- a))) (cos (/ 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]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]backup-simplify: Simplify (/ (sin (/ -1 a)) (cos (/ -1 a))) into (/ (sin (/ -1 a)) (cos (/ -1 a))) * [misc]taylor: Taking taylor expansion of (tan (/ 1 (- a))) in a * [misc]taylor: Taking taylor expansion of (/ (sin (/ 1 (- a))) (cos (/ 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]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]backup-simplify: Simplify (/ (sin (/ -1 a)) (cos (/ -1 a))) into (/ (sin (/ -1 a)) (cos (/ -1 a))) * [misc]backup-simplify: Simplify (/ (sin (/ -1 a)) (cos (/ -1 a))) into (/ (sin (/ -1 a)) (cos (/ -1 a))) * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (/ 0 (cos (/ -1 a))) (+ (* (/ (sin (/ -1 a)) (cos (/ -1 a))) (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))) (* 0 (/ 0 (cos (/ -1 a)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (sin (/ -1 a)) (cos (/ -1 a))) into (/ (sin (/ -1 a)) (cos (/ -1 a))) * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 2) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 39 ] 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: [ 2 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cos (/ 1 a)) (expm1 (/ 1 a))) (sin (/ 1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (/ (* (expm1 (/ 1 a)) (cos (/ 1 a))) (sin (/ 1 a))) * * * * [misc]progress: [ 3 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (expm1 (/ -1 a)) (cos (/ -1 a))) (sin (/ -1 a))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (18 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (* (cos (/ -1 a)) (expm1 (/ -1 a))) (sin (/ -1 a))) * * * * [misc]progress: [ 4 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 a) (+ (* 2/15 (pow a 5)) (+ (* 1/3 (pow a 3)) a))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (expm1 a) (fma (* a 1/3) (sqr a) (fma (pow a 5) 2/15 a))) * * * * [misc]progress: [ 5 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 a) (/ (sin (/ 1 a)) (cos (/ 1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (* (/ (expm1 a) (sin (/ 1 a))) (cos (/ 1 a))) * * * * [misc]progress: [ 6 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 a) (/ (sin (/ -1 a)) (cos (/ -1 a)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (19 enodes) * [exit]simplify: Simplified to (/ (cos (/ -1 a)) (/ (sin (/ -1 a)) (expm1 a))) * * * * [misc]progress: [ 7 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (expm1 a) (tan a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (expm1 (/ (expm1 a) (tan a))) * [exit]simplify: Simplified to (expm1 (/ (expm1 a) (tan a))) * * * * [misc]progress: [ 8 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (expm1 a) (tan a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (log1p (/ (expm1 a) (tan a))) * [exit]simplify: Simplified to (log1p (/ (expm1 a) (tan a))) * * * * [misc]progress: [ 9 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (expm1 a)) (log (tan a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (log (expm1 a)) (log (tan a))) * [exit]simplify: Simplified to (- (log (expm1 a)) (log (tan a))) * * * * [misc]progress: [ 11 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (expm1 a) (tan a))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (log (/ (expm1 a) (tan a))) * [exit]simplify: Simplified to (log (/ (expm1 a) (tan a))) * * * * [misc]progress: [ 12 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (expm1 a) (tan a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (exp (/ (expm1 a) (tan a))) * [exit]simplify: Simplified to (exp (/ (expm1 a) (tan a))) * * * * [misc]progress: [ 13 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cube (expm1 a)) (cube (tan 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 (/ (expm1 a) (tan a))) * [exit]simplify: Simplified to (cube (/ (expm1 a) (tan a))) * * * * [misc]progress: [ 14 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (expm1 a) (tan a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (cbrt (/ (expm1 a) (tan a))) * [exit]simplify: Simplified to (cbrt (/ (expm1 a) (tan a))) * * * * [misc]progress: [ 15 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (/ (expm1 a) (tan 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 (/ (expm1 a) (tan a))) * [exit]simplify: Simplified to (cube (/ (expm1 a) (tan a))) * * * * [misc]progress: [ 16 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (expm1 a)) (cbrt (tan a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt (expm1 a)) (cbrt (tan a))) * [exit]simplify: Simplified to (/ (cbrt (expm1 a)) (cbrt (tan a))) * * * * [misc]progress: [ 17 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (expm1 a) (tan a))) * * [misc]simplify: iters left: 4 (5 enodes) * [exit]simplify: Simplified to (sqrt (/ (expm1 a) (tan a))) * [exit]simplify: Simplified to (sqrt (/ (expm1 a) (tan a))) * * * * [misc]progress: [ 18 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (expm1 a)) (sqrt (tan a))) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ (sqrt (expm1 a)) (sqrt (tan a))) * [exit]simplify: Simplified to (/ (sqrt (expm1 a)) (sqrt (tan a))) * * * * [misc]progress: [ 19 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (- (expm1 a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (expm1 a)) * [exit]simplify: Simplified to (- (expm1 a)) * [enter]simplify: Simplifying (- (tan a)) * * [misc]simplify: iters left: 3 (3 enodes) * [exit]simplify: Simplified to (- (tan a)) * [exit]simplify: Simplified to (- (tan a)) * * * * [misc]progress: [ 20 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp a) (tan a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (exp a) (tan a)) * [exit]simplify: Simplified to (/ (exp a) (tan a)) * [enter]simplify: Simplifying (/ 1 (tan a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (tan a)) * [exit]simplify: Simplified to (/ 1 (tan a)) * * * * [misc]progress: [ 21 / 39 ] 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 (/ (expm1 a) (tan a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 a) (tan a)) * [exit]simplify: Simplified to (/ (expm1 a) (tan a)) * * * * [misc]progress: [ 22 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (tan a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ 1 (tan a)) * [exit]simplify: Simplified to (/ 1 (tan a)) * * * * [misc]progress: [ 24 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan a) (expm1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (tan a) (expm1 a)) * [exit]simplify: Simplified to (/ (tan a) (expm1 a)) * * * * [misc]progress: [ 25 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (expm1 a) 1) * [exit]simplify: Simplified to (/ (expm1 a) 1) * * * * [misc]progress: [ 26 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (tan a) (expm1 a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (tan a) (expm1 a)) * [exit]simplify: Simplified to (/ (tan a) (expm1 a)) * * * * [misc]progress: [ 27 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 a) (sin a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 a) (sin a)) * [exit]simplify: Simplified to (/ (expm1 a) (sin a)) * * * * [misc]progress: [ 28 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (expm1 a) 1) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (expm1 a) 1) * [exit]simplify: Simplified to (/ (expm1 a) 1) * * * * [misc]progress: [ 29 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (tan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (expm1 (tan a)) * [exit]simplify: Simplified to (expm1 (tan a)) * * * * [misc]progress: [ 30 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (tan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log1p (tan a)) * [exit]simplify: Simplified to (log1p (tan a)) * * * * [misc]progress: [ 31 / 39 ] simplifiying candidate # * [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 (cos a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cos a) * [exit]simplify: Simplified to (cos a) * * * * [misc]progress: [ 32 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (cotan a) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cotan a) * [exit]simplify: Simplified to (cotan a) * * * * [misc]progress: [ 33 / 39 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (log (tan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (log (tan a)) * [exit]simplify: Simplified to (log (tan a)) * * * * [misc]progress: [ 35 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (tan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (exp (tan a)) * [exit]simplify: Simplified to (exp (tan a)) * * * * [misc]progress: [ 36 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (tan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (cbrt (tan a)) * [exit]simplify: Simplified to (cbrt (tan a)) * * * * [misc]progress: [ 37 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (cube (tan a)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cube (tan a)) * [exit]simplify: Simplified to (cube (tan a)) * * * * [misc]progress: [ 38 / 39 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (tan a)) * * [misc]simplify: iters left: 2 (3 enodes) * [exit]simplify: Simplified to (sqrt (tan a)) * [exit]simplify: Simplified to (sqrt (tan a)) * * * * [misc]progress: [ 39 / 39 ] 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 a +inf.0)) , with alts (#) * [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))) * [enter]simplify: Simplifying (/ (expm1 a) (tan a)) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (/ (expm1 a) (tan a)) * [exit]simplify: Simplified to (/ (expm1 a) (tan a)) * [enter]simplify: Simplifying (* (expm1 a) (cotan a)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (* (expm1 a) (cotan a)) * [enter]simplify: Simplifying (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 (* (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))